If the three babies consume 50 liters of milk in 20 days, then 4 babies will consume 83 liters of milk in 25 days.
We can start by using the given information to calculate the daily milk consumption rate per baby. The total milk consumed over 20 days by the three babies is 50 liters. Therefore, the daily milk consumption rate per baby is:
Daily milk consumption rate per baby = 50 liters / (3 babies x 20 days) = 0.83 liters per day per baby
If we add another baby, the total number of babies becomes 4. We want to find out how much milk they will consume in 25 days. Total milk required for 4 babies in 25 days = (number of babies) x (daily milk consumption rate per baby) x (number of days)
Substituting the given values, we get:
Total milk required = 4 x 0.83 liters per day per baby x 25 days
Total milk required = 83 liters
As a result, if three babies drink 50 liters of milk in 20 days, four babies will drink 83 liters of milk in 25 days.
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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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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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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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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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In a newspaper, it was reported that the number of yearly robberies in Springfield in 2011 was 64, and then went down by 50% in 2012. How many robberies were there in Springfield in 2012?
Answer: 32
Step-by-step explanation:
50% of last year is divided by 2 (50/100 = 1/2). 64/2 = 32
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
math help i beg anything will do just pleas help
Answer: 1. 48.356 2. 75.3982236862
Step-by-step explanation:
Radias*2 pi
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 _____
Divide. Write the missing
numbers.
62) 5,472
1
9
16
R
62 5 4 7 2
"
R
9
1 6
(Type whole numbers.)
we get the quotient as 161 and remainder as 11.So the missing numbers are:R = 11
9, 1, 6
What is long division method ?First divide the greater number by the smallest number and then divide the smaller number by the remainder. We continue the process until we get 0 remainder. The divisor is the HCF of the given numbers.
To divide 5,472 by a two-digit number, we can use long division method as follows:
34) 5 4 7 2( 34
- 4 0
______
1 4 7
- 1 3 6
_______
1 1
Therefore, we get the quotient as 161 and remainder as 11.
So the missing numbers are:
R = 11
9, 1, 6
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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.
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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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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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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need help! please give example if can
The two statements are;
The area of sector 1 is 20n² + 15n square meters
The total distance around the garden is 20n + 2 meters
Option A and C
How to determine the valueThe formula for the area of a rectangle is expressed as;
A = lw
Such that the parameters are;
A is the area of the rectangle l is the length of the rectanglew is the width of the rectangleFor the first sector, we have that;
Length = 4n + 3
Width = 6n - 2 - 5n = n - 2
Substitute the values
Area of sector 1 = (4n + 3)(5n)
expand the expression
Area of sector 1 = 20n² + 15n square meters
Area for the sector 2
Area = (3n - 3)(n -2)
expand the bracket
Area = 3n² - 6n - 3n + 6 = 3n² - 9n + 6
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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…
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?
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
At a soda fountain 22 quarts of ice cream were used to make 105 milk shakes. How many quarts are needed to make 922 milk shakes?
193.18 quarts of ice cream are needed to make 922 milkshakes.
The unitary approach is a strategy for problem-solving that involves first determining the value of a single unit, then multiplying that value to determine the required value.
A proportion is an equation that sets two ratios at the same value.
To find the number of quarts needed to make 922 milkshakes, we can set up a proportion:
22 quarts / 105 milkshakes = x quarts / 922 milkshakes
Cross-multiply:
[tex]22\times 922 = 105 \times x[/tex]
Calculate the products:
[tex]22 \times 922 = 105 \times x[/tex]
Divide by 105 to solve for x:
[tex]20284 \times 105 = x[/tex]
Calculate the quotient:
[tex]20284 \times 105 = x[/tex]
Therefore, approximately 193.18 quarts of ice cream are needed to make 922 milkshakes.
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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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Jody bought 20 shares of Amazon at the close price of $121.00. She bought
20 more shares a year later at the price of $127.00. Two years later, she sold
all of her shares at the price $133.00. If her broker charges $40 for each
transaction, how much money will Jody have after selling her shares?
OA. $5320.00
OB. $5160.00
OC. $5280.00
D. $5430.00
The money Jodi will have after selling her shares will be B. $5160.00
What is meant by selling?
Selling typically refers to the exchange of goods or assets for money or other valuable consideration. It is the process of transferring ownership of a product or item from the seller to the buyer in return for an agreed-upon price or value.
What is meant by shares?
Shares refer to units of ownership in a company or corporation. When a company sells shares, it is raising funds from investors who then become shareholders and have a claim on the company's profits and assets.
According to the given information
Jody bought 20 shares of Amazon at $121.00, which costs her 20 x $121.00 = $2420.00.
One year later, she bought 20 more shares at $127.00, which costs her 20 x $127.00 = $2540.00.
The total cost of buying all the shares is $2420.00 + $2540.00 = $4960.00.
Jody sold all her shares two years later at $133.00 per share, which gives her 40 x $133.00 = $5320.00.
Her total profit is $5320.00 - $4960.00 = $360.00.
After deducting the broker's fees, Jody will have $360.00 - $80.00 = $280.00.
Therefore, the correct answer is option B. $5160.00.
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a box model will be used to keep track of the number of winning plays for a gambling game that has chance 15% of winning and 85% of losing. is it appropriate to use the normal approximation to find the chance of winning at least 10 times out of 75 total plays of the game?
Yes , it is appropriate to choose normal approximation to calculate the chance of winning at least 10 times out of 75 total plays of game.
Use the normal approximation,
Chance of winning at least 10 times out of 75 total plays of the game,
Conditions for using the normal distribution are met.
Binomial distribution can be approximated by the normal distribution,
The number of trials 'n' is large enough usually n > 30.
The probability of success 'p' is not too close to 0 or 1.
The trials are independent.
Here,
n = 75 trials and p = 0.15 probability of winning.
To check if the normal approximation is appropriate,
Calculate the mean and standard deviation of the binomial distribution,
mean = n × p
= 75 × 0.15
= 11.25
Standard deviation
= √(n × p × (1 - p))
= √(75 × 0.15 × 0.85)
= 3.09
Mean is 11.25 and the standard deviation is 2.44.
The condition for independence is satisfied since each play is independent of the others.
If the other two conditions are met,
Check if np and n(1-p) are both greater than or equal to 10,
np = 75 × 0.15
= 11.25
n(1-p) = 75 × 0.85
= 63.75
Both np and n(1-p) are greater than or equal to 10,
So the conditions for using the normal approximation are satisfied.
Therefore, it is appropriate to use the normal approximation to find the chance of winning at least 10 times out of 75 total plays of the game.
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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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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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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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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
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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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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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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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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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