Arc PQ is of length 110 degrees.
Finding the length of arc PQGiven that a circle's circumference is 360 degrees and that the arc lengths are measured in degrees, we have the equation.
8x - 10 + 6x + 10x + 10 = 360
In order to answer the problem 8x - 10 + 6x + 10x + 10 = 360 for x, we must first combine like terms to simplify the left side of the equation:
8x + 6x + 10x - 10 + 10 = 24x
The equation now reads:
24x = 360
By dividing both sides of the equation by 24, we may isolate x on one side of the equation and solve for it:
24x/24 = 360/24
x = 15
Thus, 15 is the answer to the x problem.
Arc PQ = 8x - 10.
= 8 * 15 - 10
= 110 °
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the manager of a gas station has observed that the times required by drivers to fill their car's tank and pay are quite variable. in fact, the times are exponentially distributed with a mean of 6 minutes. what is the probability that a car can complete the transaction in less than 5 minutes?
The probability that a car can complete the transaction in less than 5 minutes is approximately 0.578 or 57.8%.
Since the times required by drivers to fill their car's tank and pay are exponentially distributed with a mean of 6 minutes, we can use the exponential distribution formula to find the probability that a car can complete the transaction in less than 5 minutes:
P(X < 5)
where X is the time required for a car to complete the transaction.
To find P(X < 5), we can use the cumulative distribution function (CDF) of the exponential distribution, which is:
F(x) = 1 - e^(-λx)
where λ is the rate parameter of the distribution. For an exponential distribution with mean μ, the rate parameter λ is equal to 1/μ.
So, in our case, λ = 1/6 and we can calculate P(X < 5) as:
P(X < 5) = F(5) = 1 - e^(-1/6 × 5) ≈ 0.578
In other words, there is a 57.8% chance that a car will finish filling its tank and paying within 5 minutes at this gas station.
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A rectangular prism has a length of 113yards, a width of 212 yards, and a height of 4 yards. Enter the volume of the prism as a mixed number in simplest form in the box.
____ yd³
EXPLANATION
Given the dimensions of a rectangular prism:
Length = 113 yards
Width: 212 yards
Height: 4 yards
We have to find its volume.
The volume of a prism is the product of its dimensions,
Hence, the volume of this prism is 95,824 cubic yards.
can I get help without anybody guessing please :)
The inequality graphed is given as follows:
y ≥ x² - 4x - 5.
What are the inequality symbols?The four inequality symbols, along with their meaning on the number line and the coordinate plane, are presented as follows:
> x: the amount is greater than x -> the number is to the right of x with an open dot at the number line. -> points above the dashed horizontal line y = x on the coordinate plane.< x: the amount is less than x. -> the number is to the left of x with an open dot at the number line. -> points below the dashed horizontal line y = x on the coordinate plane.≥ x: the amount is at least x. -> the number is to the right of x with a closed dot at the number line. -> points above the solid vertical line y = x on the coordinate plane.≤ the amount is at most x. -> the number is to the left of x with a closed dot at the number line. -> points above the dashed vertical line y = x on the coordinate plane.The roots of the parabola are given as follows:
x = -1 and x = 5.
Hence:
y = a(x + 1)(x - 5)
y = a(x² - 4x - 5).
When x = 0, y = -5, hence the leading coefficient a is given as follows:
-5a = -5
a = 1.
The part above is painted, with a solid line, hence the inequality is given as follows:
y ≥ x² - 4x - 5.
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an ostrich farmer wants to enclose a rectangular area and then divide it into 6 pens with fencing parallel to one side of the rectangle. there are 730 feet of fencing available to complete the job. what is the largest possible total area of the 6 pens?
in three flips of an unfair coin the probability of getting three heads is the same as the probability of getting exactly two tails. what is the ratio of the probability of flipping a tail to the probability of flipping a head?
The ratio of the probability of flipping a tail to the probability of flipping a head when the probability of getting three heads is the same as the probability of getting exactly two tails in three flips is 1/3.
How to find the ratio of probability of flipping a tail to probability of flipping a head?Let p be the probability of flipping a head and q be the probability of flipping a tail.
The probability of getting three heads in three flips is [tex](p)^3.[/tex]
The probability of getting exactly two tails in three flips is 3pq².
Given that these probabilities are equal, we have:
[tex](p)^3[/tex]= 3pq²
Simplifying this equation gives:
p = 3q
Dividing both sides by q gives:
p/q = 3
Therefore, the ratio of the probability of flipping a tail to the probability of flipping a head is 1/3.
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Use a net to find the surface area of the cereal box.
13in
5 in.
in².
2 in.
The total surface area of the cereal box is
Thus, the total surface area of the cereal box is found as - 202 in².
Define about the features of cuboid:With six faces, twelve edges, and eight vertices, a cuboid is a 3D shape. Its faces are all rectangles.
Due to its uniform cross-section throughout, a cuboid is also a prism. It is referred to as a prism.
They have eight vertices, 12 edges, and six faces.Cuboids have rectangular-shaped sides.All the angles that are formed at the vertices are right angles.Given data:
Length l - 13 in width w - 5 in. height h - 2 in.total surface area of cuboidal cereal box = 2(lb + bh + hl)
total surface area = 2(13 *5 + 5*2 + 2*13)
total surface area = 2*101
total surface area = 202 in².
Thus, the total surface area of the cereal box is found as - 202 in².
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Correct question:
find the surface area of the cereal box.
Length - 13 in : width - 5 in. height - 2 in.
The total surface area of the cereal box is _____
in the solow model, if f(k) = 2 k0.5, s = 0.25, n = 0.1, and d = 0.4, what is the value of k at equilibrium
The value of k at equilibrium is 1.
In the Solow model, the equilibrium level of capital per worker (k*) occurs when the change in capital per worker is zero. This can be found by setting the investment per worker equal to the effective depreciation.
Given that the production function is f(k) = 2k^0.5, the saving rate is s = 0.25, the population growth rate is n = 0.1, and the depreciation rate is d = 0.4, we can find the equilibrium value of k as follows:
Step 1: Calculate investment per worker (I)
I = s * f(k) = 0.25 * 2k^0.5 = 0.5k^0.5
Step 2: Calculate effective depreciation per worker (Dep)
Dep = (n + d) * k = (0.1 + 0.4) * k = 0.5k
Step 3: Set investment per worker equal to effective depreciation per worker to find the equilibrium value of k
0.5k^0.5 = 0.5k
Step 4: Solve for k
Divide both sides by 0.5:
k^0.5 = k
Square both sides:
k = k^2
Rearrange the equation to solve for k:
k^2 - k = 0
k(k - 1) = 0
There are two possible solutions for k: k = 0 and k = 1. However, k = 0 is not a meaningful solution in the context of the Solow model, so the equilibrium value of k is:
k* = 1
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The circle graph describes the distribution of preferred transportation methods from a sample of 300 randomly selected San Francisco residents.
circle graph titled San Francisco Residents' Transportation with five sections labeled walk 40 percent, bicycle 8 percent, streetcar 15 percent, bus 10 percent, and cable car 27 percent
Which of the following conclusions can we draw from the circle graph?
Bus is the preferred transportation for 25 residents.
Bicycle is the preferred transportation for 48 residents.
Together, Streetcar and Cable Car are the preferred transportation for 42 residents.
Together, Walk and Streetcar are the preferred transportation for 165 residents.
Therefore , the solution of the given problem of circle comes out to be it can be inferred from the circle graph that for 165 residents, Walk and Streetcar .
What is circle?Each aeroplane component creates a circle when viewed from this new angle and at a distance. (center). Its structure is made up of surfaces and wavy regions that contrast with one another. Within the core, it rotates uniformly in every direction as well. The "center" of a circular or restricted double sphere remains constant throughout all ultimate extensions.
Here,
This conclusion may be taken from the circle graph's data, which reveals that 15% of the sample favoured the streetcar and 40% preferred walking.
By combining these two figures, we get a sample preference for walking or using the streetcar of
=> 40% + 15% = 55%.
Since there are 300 residents in the sample,
=> 55% of 300 = 0.55 x 300, or 165 residents.
As a result, it can be inferred from the circle graph that for 165 residents, Walk and Streetcar together represent their favourite mode of transportation.
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there are four blood types, and not all are equally likely to be in blood banks. in a certain blood bank, 49% of donations are type o blood, 27% of donations are type a blood, 20% of donations are type b blood, and 4% of donations are type ab blood. a person with type b blood can safely receive blood transfusions of type o and type b blood. what is the probability that the 4th donation selected at random can be safely used in a blood transfusion on someone with type b blood? ( to the nearest thousandth)
The probability that the fourth donation selected at random can be safely used in a blood transfusion on someone with type B blood is 0.69.
How to find the probability?Since a person with type B blood can safely receive blood transfusions of type O and type B blood, the fourth donation selected at random must be either type O or type B blood. From the information given, the probability of the fourth donation being type O blood is 49%, and the probability of it being type B blood is 20%. Therefore, the probability that the fourth donation can be safely used in a blood transfusion on someone with type B blood is:
P(type O or type B) = P(type O) + P(type B) = 0.49 + 0.20 = 0.69
So, the probability that the fourth donation selected at random can be safely used in a blood transfusion on someone with type B blood is 0.69 (rounded to the nearest thousandth).
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If you learned $2,000 from an interest bearing account, what was the rate if the principal was $3500 for 15 years?
The rate of return on the account was 11.429% over the course of 15 years.
What is interest rate?Interest rate is the percentage charged by a lender to a borrower for the use of money. It is the cost of borrowing money, expressed as a percentage of the amount borrowed. Interest rates are typically determined by the prevailing market conditions, the type of loan product being offered, the borrower's credit score, and the lender's risk tolerance. The higher the interest rate, the more expensive the loan will be for the borrower.
The rate at which the account earned interest can be calculated using the following formula:
Rate = (Interest Earned/Principal) * (1/Number of Years)
In this case, the rate is:
Rate = (2000/3500) * (1/15)
Rate = 0.11429 or 11.429%
This means that the account earned 11.429% in interest over the course of 15 years. This rate of return is relatively modest, as interest rates are often much higher than this. In fact, the current average rate of return for a 15-year CD is around 1.75%.
The reason why the rate of return is so low is likely due to the fact that the account was earning interest at a fixed rate. Fixed rate accounts typically offer lower interest rates than variable rate accounts, since the bank or financial institution is making a guarantee that the rate will not change. This makes them less risky for the investor, but also less profitable.
In conclusion, the rate of return on the account was 11.429% over the course of 15 years.
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Need help ASAP!!! It’s due today….
Thus, the value of y for the given linear function for the input value of x = 4 , is found as y = 5.
Explain about the linear function:Any function which it graphs as a straight line is said to be linear. Mathematically speaking, this indicates that the function contains one or two variables, but neither exponents nor powers.
If the function seems to have more variables, they must all be constants or well-known variables in order for the function to continue to be linear.A two-variable linear equation can be thought of as a linear relationship involving x and y, or two variables whose values rely on each other (often y and x) (usually x). Y is referred to as the dependent variable in this scenario since it depends on the independent variable, x.Given linear function:
y = 2x - 3 ; with x = 4
To get the value of y ,put x = 4 in the given function:
y = 2(4) - 3
y = 8 - 3
y = 5
Thus, the value of y for the given linear function for the input value of x = 4 , is found as y = 5.
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correct question:
Find the value of y for the given value of 'x'.
y = 2x - 3 ; x = 4
WILL MARK BRAINLIST! PLEASE ANSWER ASAP
(08.03;08.04 MC) A group of 10 students participated in a quiz competition. Their scores are shown below: 4, 4, 3, 4, 3, 12, 4, 3, 2, 3 Part A: Would a dot plot, a histogram, or a box plot best represent the data shown above if the purpose of the graph is to highlight the frequency of each individual score? Explain your answer. (4 points) Part B: Provide a step-by-step description of how you would create the graph named in Part A. (6 points)
Part A: A dot plot would best represent the data shown because a dot plot shows each data point as a dot along a number line, making it easy to see the frequency of each individual score.
Part B: we follow the steps described below to plot a dot plot:
Draw a number line with a range that includes all the data points.Mark each data point with a dot above its corresponding value on the number line.If multiple data points have the same value, stack the dots vertically to show the frequency of that score.What is a dot pot?
A dot chart or dot plot is described as a statistical chart consisting of data points plotted on a fairly simple scale, typically using filled in circles.
The stacked dots in the plotted graph reflect the frequency of each score, and the dots themselves represent the individual scores.
The figure reveals that 4 and 3 were the most frequent scores, respectively, and that a score of 12 was an exception.
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A paper distributor offers discounts to individuals who buy in quantity. They offer a 10 percent discount for orders of 50 -100 boxes of paper, a 20 percent discount for orders of 100 - 200, and a 30 percent discount for orders of 200 boxes or more. If Lee placed an order of 140 boxes (each box is $2.50), what would his discount and final price be?
His discount and final price be $280 for his order of 140 boxes.
What is Discount ?A discount is a drop in a product's or service's price.
It is frequently provided as a perk to customers to entice them to buy. Discounts are often stated as a percentage or dollar amount off the list price.
Depending on the sort of discount and the situation, discounts can be computed in a variety of ways.
For instance, a product that costs $100 would have a discounted price of $80 with a 20% discount applied. Similar to this, a product that costs $50 would have a discounted price of $40 if it received a $10 reduction.
In marketing and sales, discounts are frequently used to draw customers and boost sales volume.
What percentage is it?The denominator of a percentage (also known as a ratio or fraction) is always 100. Sam, for instance, would have received 30 out of a possible 100 points if he had received 30% on his maths test.
In ratio form, it is expressed as 30:100 and in fraction form as 30/100. In this case, the percentage symbol "%" is read as "percent" or "percentage."
This percent symbol can always be changed to a fraction or decimal equivalent by using "divided by 100."
Exampe of Percentage :-
10% = 10/100 ( = 1/10 (or) 0.1)
25% = 25/100 ( = 1/4 (or) 0.25)
According to question
Lee qualifies for a 20% discount because his order of 140 boxes falls within the range of 100-200 boxes.
Since each box originally cost $2.50, the full price of 140 boxes, after any discounts, is:
140 * $2.50 = $350
The 20% Lee discount is determined as follows:
20% * $350 = $70
Lee's discount is therefore $70, and his adjusted price is as follows:
$350 - $70 = $280
Therefore, Lee will ultimately pay $280 for his order of 140 cartons.
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when the null hypothesis in the chi square test for independence is true, there should be select one: a. large difference between the observed frequencies and the expected frequencies b. little difference between the observed frequencies and the expected frequencies c. no difference between the observed frequencies and the marginal d. no difference between the row and the column marginal
The null hypothesis in the chi-square test for independence is true, there should be little difference between a and b the observed and expected frequencies.
This indicates that the variables being analyzed are independent of each other.
Chi-square test for independence, the null hypothesis assumes that there is no relationship between two categorical variables being analyzed.
Variables are independent of each other.
Assumption is true, there should be no significant difference between the observed frequencies and the expected frequencies.
Expected frequencies are calculated by multiplying the row and column marginal frequencies and dividing by the total number of observations.
The observed frequencies are the actual frequencies observed in the data.
Therefore, when the null hypothesis is true, the difference between the observed frequencies and the expected frequencies should be minimal or little.
The chi-square statistic is calculated by comparing the observed and expected frequencies and testing whether the difference is significant or due to chance.
If there is a large difference between the observed and expected frequencies, this indicates that there may be a relationship between the variables being analyzed.
This would lead to rejecting the null hypothesis and concluding that the variables are not independent.
It is important to note that while there should be little difference between the observed and expected frequencies when the null hypothesis is true, there may still be some minor differences due to sampling variability.
p-value to determine the statistical significance of the results.
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Our school raises $150 for six charities. Each charity gets 1/6 of the amount raised. How much did each charity get
The amount that each charity gets is $25.
The charity raise simply define as we raise funds in the form of small amounts of money from a huge crowd of people within a specific period of time.
For example, if 100 people donate $50 each to your crowdfunding campaign in two weeks, you will be able to raise $5000.
To find the amount that each charity got, we have to divide the total charity amount raised in the proportion given, i.e., 1/6.
Each charity gets 1/6 of the total amount raised, which is $150.
So, we need to divide $150 by 6:
$150 ÷ 6 = $25
Therefore, each charity received $25.
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An experiment is conducted with a bag of marbles containing 5 red and 2 blue marbles. The results of a marble being drawn twice and replaced 100 times are shown in the table.
Outcome Frequency
Red, Red 19
Red, Blue 32
Blue, Blue 21
Blue, Red 28
Find P(no red).
50/ 100
25/ 100
21/ 100
19/ 100
After the calculations, we know that the probability of "no blue" is (D) 75/100.
What is probability?Science uses a figure called the probability of occurrence to quantify how likely an event is to occur.
It is written as a number between 0 and 1, or between 0% and 100%, when represented as a percentage.
The possibility of an event occurring increases as it gets higher.
The study of events that fit into a probability distribution is known as statistics.
So, we must determine the likelihood of drawing two white marbles in order to determine the probability of "no blue."
A white marble is 5/7 likely to be drawn in one draw.
The likelihood of getting two white marbles is therefore:
(5/7) * (5/7) = 25/49
Then, the probability of no blue will be:
25/49 = 25/100 = 25%
Which is 75/100.
Therefore, after the calculations, we know that the probability of "no blue" is (D) 75/100.
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Correct question:
An experiment is conducted with a bag of marbles containing 5 white and 2 blue marbles. The results of marble being drawn twice and replaced 100 times are shown in the table.
Outcome Frequency
White, White 27
White, Blue 22
Blue, Blue 18
Blue, White 33
Find P(no blue).
a. 25 over 100
b. 27 over 100
c 33 over 100
d. 75 over 100
its 21/100
Step-by-step explanation:
i did the test sorry if im too late
The 5th and 7th terms of a geometric sequence are 12 and 48. What is the 6th term?
O +16
O +24
O +32
O +40
Answer:
Step-by-step explanation:
5th term is 6 and the 7th term is 48, we know the nth term for a GP is arn−1
so let's substitute the given information in that formula for the nth term
ar3=6
ar6=48
ar6ar3=486
The a
and a
cancelout hence we remain with r3=8
take a cube root on both sides and we end up having r=2
Substitute the value of r in any given equation to get the value of a
ar3=6
a(2)3=6
8a=6
a=34
The formula for the nth term of this GP is given by 34(2n−1)
And when you substitute the value of n in the above formula of nth term you will get the following values; 3/4, 3/2, 3, 6…
Can someone help me out with this question fast, please!?!?!
A function of x contains five ordered pairs. Given the set of ordered pairs {(-2, 5), (0, 3), (1, -3), (5, -2)}, which of the following points could be the fifth point?
A. (1, 0)
B. (2, 5)
C. (0, -4)
D. (5, 3)
The answer is B, because a function has each input value paired to no more than 1 output value. Since 1, 0, and 5 are already in the sets of ordered pairs given, none of those can be the x value.
katie wants to hang a painting in a galery. the painting and framemust have an area of 45 square feet. the painting is 6 feet wide by 7 feet long. which quadratic equation can be ued too determine the thickness of the frame x?
For a painting with frame, the quadratic equation can be ued too determine the thickness of the frame x is equals to the
4x² + 26x - 3 = 0. So, option(b) is right one.
There is defined that katie wants to hang a painting in a galery. See the above figure. Total area of the painting and frame must be equal to 45 square feet. Let the dimensions of painting be L and W that is length and width.
The width of painting, W = 6 feet
Length of painting, L = 7 feet
The thickness of the frame = x feet.
So, the new length of painting and frame, L' = (6 + 2x ) feet
The new width of painting and frame, W' = (7 + 2x ) feet
We have to determine the quadratic equation for thickness of the frame x. Using the area formula for rectangular, A = length × width
Area of rectangular painting and frame, A'
= new length × new width = L'× W'
= ( 6 + 2x) ( 7 + 2x)
From the scenario, A' = 45 sq. feet
=> ( 6 + 2x) ( 7 + 2x) = 45
=> 42 + 12x + 14x + 4x² = 45
Simplify the above expression,
=> 4x² + 26x = 3
=> 4x² + 26x - 3 = 0
Hence, required quadratic equation is
4x² + 26x - 3 = 0.
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Complete question:
katie wants to hang a painting in a galery. the painting and framemust have an area of 45 square feet. the painting is 6 feet wide by 7 feet long. which quadratic equation can be ued too determine the thickness of the frame x?
a) 4x^2 + 26x + 45 = 0
b) 4x^2 + 26x − 3 = 0
c) x^2 + 13x − 3 = 0
d)x^2 + 13x + 45 = 0
three shoppers are in the elevator of a department store. at each stop, a shopper is equally likely to remain on the elevator or depart at that floor, independent of the other shoppers. find the expected number of stops the elevator makes before the three shoppers have all left the elevator.
Three shoppers are in the elevator of a department store. the anticipated number of stops the lift makes sometime recently the three customers have all cleared out the lift is 21/4, or 5.25 stops on normal.
E(X) = ∑ x P(X = x) where the summation is over all conceivable values of X, and P(X = x) is the likelihood that X takes on the esteem x.
The conceivable values of X are 3, 4, and 5, The likelihood that X = k for k ≥ 3 is the likelihood that the three customers will have all left the lift after k stops, which is 7/8 times the Probability that they have not all cleared out after k - 1 stops. That's, P(X = k) = (7/8) P(X = k-1)
Utilizing this recursive relationship, ready to compute the probabilities of X taking on each conceivable esteem: P(X = 3) = 7/8
P(X = 4) = (7/8)(1/8) = 7/6
P(X = 5) = (7/8)(7/64) = 49/512
P(X = 6) = (7/8)(49/512) = 343/4096
Presently we are able to utilize the equation for anticipated esteem to discover E(X): E(X) = ∑ x P(X = x)
= 3(7/8) + 4(7/64) + 5(49/512) + 6(343/4096) + ...
= ∑ (3/2)[tex]^{k}[/tex] (7/8)[tex]^{k}[/tex]
= (7/8) (3/2) / (1 - 3/2)
= (7/8) (3/2) / (1/2)
= 21/4
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Help solve this! ASAP
Answer:
2
Step-by-step explanation:
You want the average rate of change of f(x) = -x² -2x +6 on the interval [-7, 3].
Average rate of changeThe average rate of change of f(x) on the interval [a, b] is computed as ...
m = (f(b) -f(a))/(b -a)
For the given function f(x), this is ...
m = (f(3) -f(-7))/(3 -(-7)) = (-9 -(-29))/10 = 20/10 = 2
The average rate of change of f(x) on the interval [-7, 3] is 2.
__
Additional comment
The derivative of the function is f'(x) = -2x -2. The midpoint of the interval is x = (-7 +3)/2 = -2. The value of the derivative at the midpoint is equal to the average rate of change on the interval:
-2(-2) -2 = 4 -2 = 2 . . . . average slope between x=-7 and x=3.
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PLS HELP GIVING BRAINLIEST
Answer:
28 kilometers
Step-by-step explanation:
They both have the same area.
8*5 = 40
4*10 = 40
Multiplying 4 and 10 gets both rectangles to have the same area.
They are asking for the perimeter so it'll be 28.
4 + 4 + 10 + 10 = 28
suppose the life time of a component ti in hours is uniformly distributed on [100, 200]. components are replaced as soon as one fails and assume that this process has been going on long enough to reach equilibrium. (a) what is the probability that the current component has been in operation for at least 50 hours? (b) what is the probability that the current component will last for at least 50 more hours?
a. The probability that the current component has been in operation for at least 50 hours is 0.5
b. The probability that the current component will last for at least 50 more hours is also 0.5.
(a) The probability that the current component has been in operation for at least 50 hours is given by the cumulative distribution function (CDF) of the uniform distribution on [100, 200] evaluated at 50.
The CDF of a uniform distribution on [a, b] is given by:
F(x) = (x - a) / (b - a) for a <= x <= b
F(x) = 0 for x < a
F(x) = 1 for x > b
Therefore, in this case, the CDF is:
F(x) = (x - 100) / 100 for 100 <= x <= 200
F(x) = 0 for x < 100
F(x) = 1 for x > 200
So the probability that the current component has been in operation for at least 50 hours is:
P(ti >= 50) = 1 - F(50) = 1 - ((50 - 100) / 100) = 0.5
(b) The probability that the current component will last for at least 50 more hours is also given by the CDF of the uniform distribution on [100, 200], but evaluated at 150 instead of 50.
That is,
P(ti >= 150) = F(150) = (150 - 100) / 100 = 0.5.
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stores l and m each sell a certain product at a different regular price. if both stores discount their regular price of the product, is the discount price at store m less than the discount price at store l ?
The discount price at each store will depend on the regular price and the amount of the discount offered, and it is not possible to determine which store will have the lower discount price without knowing these factors.
Elaborate more your answer indetail?It is not necessarily true that the discount price at store M will be less than the discount price at store L. The relative discount prices will depend on the amount of the discount applied by each store.
For example, let's say that the regular price of the product at store L is $100 and the regular price at store M is $120. If store L offers a 20% discount, the discount price would be $80.
If store M offers a 15% discount, the discount price would be $102. Therefore, in this case, the discount price at store L is less than the discount price at store M.
On the other hand, if store L offers only a 10% discount, the discount price would be $90. In this case, the discount price at store M would be less than the discount price at store L.
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math help i beg anything will do just pleas help
Answer: 1. 48.356 2. 75.3982236862
Step-by-step explanation:
Radias*2 pi
I need help with this it's hard. Thanks!
The measure of angle JKL is 105⁰.
The measure of angle KJM is 75⁰.
What is the property of opposite angles of isosceles trapezoid?
In an isosceles trapezoid, the property of opposite angles is that they are congruent or equal in measure. Specifically, the two angles that are formed by the intersection of the non-parallel sides with the bases of the trapezoid are opposite angles, and they have the same measure.
The measure of angle JKL is calculated as;
m∠JKL = 27⁰ + 78⁰ = 105⁰
m∠JKL = 105⁰
The measure of angle KJM is calculated as;
m∠KJM = ¹/₂ (360 - 2x105)
m∠KJM = 75⁰
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do students who learned english and another language simultaneously score worse on the sat critical reading exam than the general population of test takers? the mean score among all test takers on the sat critical reading exam is 501. a random sample of 100 test takers who learned english and another language simultaneously has a mean sat critical reading score of 485 with a standard deviation of 116. do these results suggest that students who learn english as well as another language simultaneously score worse on the sat critical reading exam
Therefore, while these results do suggest that there may be a difference in SAT Critical Reading scores between students who learned English and another language simultaneously and the general population, further research is needed to understand the extent and causes of this difference.
Based on the information provided, it seems that students who learned English and another language simultaneously score lower on the SAT Critical Reading exam than the general population of test takers. The mean score of the general population is 501, while the mean score of the sample of 100 test takers who learned English and another language simultaneously is 485. This is a difference of 16 points, which could be considered statistically significant.
However, it is important to note that the standard deviation of the sample is quite high at 116. This suggests that there is a lot of variability in the scores of students who learned English and another language simultaneously, which could be due to a variety of factors such as differences in language proficiency or educational background.
Therefore, while these results do suggest that there may be a difference in SAT Critical Reading scores between students who learned English and another language simultaneously and the general population, further research is needed to understand the extent and causes of this difference.
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The results do not provide sufficient evidence to suggest that students who learn English and another language simultaneously score worse on the SAT critical reading exam than the general population of test takers.
We will use the terms: mean, standard deviation, sample size, and hypothesis testing.
Mean score among all test takers: 501
Mean score of the bilingual students' sample: 485
Standard deviation of the bilingual students' sample: 116
Sample size: 100.
To determine if bilingual students score worse on the SAT critical reading exam, we will conduct a hypothesis test.
Formulate the hypotheses
Null hypothesis (H0):
Bilingual students' mean score = General population mean score
Alternative hypothesis (H1):
Bilingual students' mean score < General population mean score
Calculate the test statistic
Test statistic = (Sample mean - Population mean) / (Standard deviation / sqrt(Sample size))
Test statistic = (485 - 501) / (116 / sqrt(100))
Test statistic = -16 / 11.6
Test statistic ≈ -1.38
Determine the critical value and significance level
We'll use a one-tailed test with a significance level (α) of 0.05. Using a standard normal (Z) table, the critical value is -1.645.
Compare test statistic to critical value
Since our test statistic (-1.38) is greater than the critical value (-1.645), we fail to reject the null hypothesis.
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HELLLPPP Quick
What is the mean of this data set?
12, 17, 16, 10, 20
35
25
15
Answer:
15
Step-by-step explanation:
The numbers in the given data = 12, 17, 16, 10, 20
Total number = 5
12 + 17 + 16 + 10 + 20 = 75
Mean = 75/5
Mean 15
Jane set up a lemonade stand to sell lemonade. The total cost of making the lemonade was $1. 50. She sold each cup of lemonade for $0. 25,
Enter an equation that can be used to find the number of cups of lemonade, x, Jane sold if her earnings were $9. 75 after paying out the cost of the lemonade.
Jane sold approximately 7.8 cups of lemonade. Since she cannot sell a fractional number of cups of lemonade, we can round up to 8 cups.
To solve this problem
Let x be the number of cups of lemonade Jane sold.
The total earnings she made from selling x cups of lemonade is:
Total earnings = price per cup * number of cups sold
Total earnings = $0.25 * x
The total cost of making x cups of lemonade is:
Total cost = cost per cup * number of cups sold
Total cost = $1.50 * x
Jane's profit is equal to her total earnings minus her total cost:
Profit = Total earnings - Total cost
Profit = $0.25x - $1.50x
Profit = -$1.25x
We know that Jane's earnings were $9.75, so we can set up the equation:
$9.75 = -$1.25x
To solve for x, we can divide both sides by -$1.25:
-$9.75 / -$1.25 = x
x = 7.8
Jane sold approximately 7.8 cups of lemonade. Since she cannot sell a fractional number of cups of lemonade, we can round up to 8 cups.
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HW-18.2
Find the measure of each interior angle of a regular nonagon ?
The measure of the interior angle is 180 - 40 or 140 because each exterior angle and the matching interior angle form a linear pair.
What is angle?Angle is a geometric figure formed by two rays that have a common endpoint, called the vertex. Angles are measured in degrees, with 360° in a full circle. Angles are used in math, physics, and engineering to measure lengths, angles, and directions. Angles are also used in everyday life to describe a direction or position, such as when we say something is “at an angle”.
There are nine congruent exterior angles on the a convex regular nonagon. 9n = 360, n equals the total of all external angles, and n = 40. each side by nine. Each external angle is 40 degrees in size.
The measurement of the interiors angle is 180 - 40 or 140 because each exterior angle and the matching interior angle form a linear pair.
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