The probability that shooting stars are there in the fall is 0.5904.
The probability of not seeing any falling star in that time period of 15 minutes is 1 - 0.2 = 0.8.
In this way, the combined probability of not seeing any of the falling stars in the four-time period is: 0.8 * 0.8 * 0.8 * 0.8 = 0.8⁴ = 0.4096
= 1 - 0.4096 = 0.5904
=P(X = x) = μˣ * e^-μ / x!
Here, the span is of 15 minutes. In this way, the typical number of events in the span is 15λ. The probability of witnessing 0 occasions (i.e X = 0) is:
P(X = 0) = μ⁰ * e^-(15λ) / 0! = 1 / e^(15λ) — — (1)
(1) is equal to 80% as the probability of at least one event happening is 20%.
So, 1 / e^(15λ) = 0.8
or, e^(15λ) = 1.25
or, 15λ = ln(1.25) = 0.2231
= λ = 0.0149 / min
In this way, the typical number of occasions (falling stars) is 0.0149 per minute.
Presently, the typical number of occasions in an hour is:
0.0149 * 60 = 0.8926 / hour
So, the Poisson distribution expression becomes:
P(X = x) = 0.8926ˣ * e^-0.8926 / x! — — (2)
Here, the time span is 60 minutes.
Presently, we should find the probability of not having even a solitary occasion in 60 minutes:
P(X = 0) = 0.8926⁰ * e^-0.8926 / 0! = 0.4096
So, the probability of having at least one event is the complement of the above probability.
So, P(X≥1) = 1 - P(X=0) = 1 - 0.4096 = 0.5904
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i need help with this asap please!!!
Answer:
54°
Step-by-step explanation:
m and the 54° angle are VERTICAL ANGLES. That means they are the same measure.
Answer:
Step-by-step explanation:
54 degree
The medical department at a local government agency has compiled test results for sick individuals who have been tested for the flu. They have found that not all people who test positive for the flu actually have the flu, and some people who test negative for the flu actually have the flu. The following tree diagram shows the conditional relative frequencies.
A tree diagram shows sick individuals branching off into two categories, have the flu and do not have the flu, which is labeled 25%. Have the flu branches off into two sub-categories, test positive, which is labeled 95%, and test negative. Do not have the flu branches off into two subcategories, test positive and test negative, which is labeled 92%.
What percent of sick individuals test negative for the flu?
23%
27%
75%
25%
Answer: it is not 27%
Step-by-step explanation:
a survey showed that a family of four spends an average of $215.60 per day while on vacation. suppose a sample of 64 families of four vacationing at niagara falls resulted in a sample mean of $252.45 per day and a sample standard deviation of $74.50. a. develop a 95% confidence interval estimate of the mean amount spent per day by a family of four visiting niagara falls. 9 pts. b. based on the confidence interval from part (a), does it appear that the population mean amount spent per day by families visiting niagara falls differs from the mean reported by the survey? explain. 1 pt.
The confidence interval is (233.8436; 271.0564).
What is a confidence interval?
The likelihood that a population parameter will fall between a set of values for a specific percentage of the time is referred to as the confidence interval. Confidence ranges that include 95% or 99% of anticipated observations are frequently used by analysts.
What is the margin of error?
In a random survey sample, a margin of error is a statistical measurement that takes into account the discrepancy between actual and anticipated findings.
We have,
Sample mean = 252.45
Sample standard deviation = 74.50
n = 64
α = 0.05
By applying the margin of error formula, we get
Margin of Error = tα/2 * s/√n
df = n - 1 = 64 - 1 = 63
t(α/2, df = 63) = 1.998
Margin of Error = 1.998 * 74.50/√64
Margin of Error = 18.6064
The confidence interval = 252.45 ± 18.6064
= (233.8436; 271.0564)
Hence, the confidence interval is (233.8436; 271.0564).
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A coffee company surveyed 40 potential customers to see where they would
like the company's new organic coffee sold. Respondents were given the
following four locations and asked to choose as many as they liked: grocery
stores, drugstores, health food stores, and big box stores. The results are
summarized in the bar graph below, with the number of times each location
was chosen noted above the corresponding bar.
According to the statistics presented in the bar graph of responders of four locations per 40 potential customers, the average number of places chosen per potential client is 2.5.
We are given;
Total number of potential customers =40
From the bar graph number of respondents are following;
At grocery stores = 40
At drugstores respondents = 32
At health food stores = 8
At big box stores = 20
So,
The average number = Total number of respondents / Total number of potential customers
The average number = (40 + 32 + 8 + 20) / 40
The average number = (100) / 40
The average number = 2.5
Thus, according to the statistics presented in the bar graph of responders of four locations per 40 potential customers, the average number of places chosen per potential client is 2.5.
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I need help on this problem can anyone help me?
The polygon's WXYZ and ABCD are similar.
What is similar figures?
The same shape between two figures is referred to as similarity. If two figures have congruent corresponding angles and equivalent length ratios on their corresponding sides, they are said to be similar mathematically. The scale factor is the name of this often used ratio.
Consider, the polygons WXYZ and ABCD
The angles, "∠W and ∠A" and "∠Y and ∠C" are congruent to each other.
Also, the angles "∠Z and ∠D" and "∠X and ∠B" are congruent to each other.
Now consider, the sides
The sides "WZ and AD", "XY and BC" and "WX and AB" , "ZY and DC" are having the equivalent ratio.
Therefore, the polygons WXYZ and ABCD are similar.
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help help help helppp
The coordinate of image of P is (-6,-4)
What in math is a coordinate?
a pair of numbers that utilize the horizontal and vertical breakups from the two reference axes to define a point's location on a coordinate plane. generally expressed by the x-value and y-value pair (x,y).
P (-2,2)
Translation (x,y)=(x-4,y-6)
x= -2
y= 2
x-4= -6
y-6= -4
Hence the coordinate of image of p is (-6,-4)
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Britney is buying a shirt and a hat at the mall. The shirt costs $30.70, and the hat costs $20.79. If Britney gives the sales clerk $100.00, how much change should she receive? (Ignore sales tax.)
Answer:
$48.51
Step-by-step explanation:
30.70+20.79 = 51.49
100-51.94 = $48.51
your welcome :)
Answer: $48.51
Step-by-step explanation:
If you add both $30.70 and $20.79, you would get $51.49. Then you subtract it from the $100 & you get a total of $48.51. So Britney is going to receive $48.51.
Convert 90°F into °C
Answer:
32.2222
Step-by-step explanation:
Answer: 32.22 degrees Celsius.
the graph shows the relationship between the amount of peaches in pounds xand the cost of peaches in dollars y
PLEASE HELP
The proportional relationship between the amount of peaches in pounds x and the cost of peaches in dollars y is given as follows:
y = 2.5x.
Direct proportional relationshipA direct proportional relationship is a special case of a linear function, with an intercept of zero, hence the output variable symbolized by y is given by the multiplication of the input variable symbolized by x and the constant of proportionality symbolized by k, as follows:
y = kx.
In this problem, we have to find the constant k taking a point of the graph.
The point taken is:
(2,5).
Meaning that when x = 2, y = 5.
Hence the constant is calculated as follows:
5 = 2k
k = 5/2
k = 2.5.
Then the equation is:
y = 2.5x.
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an inverted pyramid is being filled with water at a constant rate of 40 cubic centimeters per second. the pyramid, at the top, has the shape of a square with sides of length 5 cm, and the height is 9 cm. find the rate at which the water level is rising when the water level is 2 cm.
The rate at which the water level is rising when the water level is 5 cm is;
dh/dt = 1.6 cm/s
What is a PYRAMID?A structure with triangle outside surfaces that converge to a single step at the summit is referred to as a pyramid (from Greek: pyrams)]. This shape is roughly a pyramid in the geometric sense. A pyramid foundation might be triangular, quadrilateral, or any other type of polygon. A pyramid therefore has at least three triangular exterior surfaces (at least four faces including the base). A typical variation is the square pyramid, which has a square base and four triangular exterior surfaces.Because a pyramid is built with the pyramidion at the top and the remainder of the weight closer to the ground[3], less material will be pressing down from above. Early civilizations could build stable structures thanks to this weight distribution.Acc to our question-
length of square side; s = 4 cmheight of pyramid; h = 8 cmvolumetric rate; dV/dt = 30 cm³/sSince the base is square shaped and we know that area of a square = s², then we can say that;Volume of pyramid = ¹/₃s²hThe pyramid has a height of 8 cm and length of its' square base side is 8 cm.Now, regardless of the water height, the surface of the water will always be square shaped. This implies that the ratio of the height to the top side of square will always be the same. Thus, we can say that; s = 4/8 h = h/2Thus, Volume is;V = ¹/₃ × (h/2)² × hV = ¹/₃ × h³/4V = h³/12dV/dt = (3h²/4) dh/dtPlugging in the relevant values gives;30 = (3 × 5²/4) dh/d120 = 75 dh/dtdh/dt = 120/75dh/dt = 1.6 cm/sHence,The rate at which the water level is rising when the water level is 5 cm is; dh/dt = 1.6 cm/s
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Lin rode a bike 20 miles in 150 minutes. She rode at a constant speed. How long did it take her to ride 6 miles
Answer: 45 minutes
Step-by-step explanation:
She rides 150/20 minutes per mile which is 7.5 minutes per mile. So it would take her 45 minutes to ride 6 miles because 6 × 7.5 = 45.
given f(x) =2x^2+5, evaluate f(4)
Answer:
f(4) = - 27
Step-by-step explanation:
substitute x = 4 into f(x) , that is
f(4) = - 2(4)² + 5 = - 2(16) + 5 = - 32 + 5 = - 27
Answer:
69
Step-by-step explanation:
Replace x with 4
-2(4)^2 +5
-8^2+5
64+5
69
Describe a data set that has an outlier. How does the outlier affect the residual? Explain.
A data point that is outrageously high or wildly low in comparison to the closest data point and the majority of the adjacent coexisting values is referred to as an outlier in the dataset or data graph you're working with.
What is a data set?A data set is a group of related data. In the case of tabular data, a data set relates to one or more database tables, where each row refers to a specific record in the corresponding data set and each column to a specific variable.Data set with an outlier:
In a data graph or dataset, you're dealing with, an outlier is a data point that is wildly high or wildly low in comparison to the closest data point and the rest of the nearby coexisting values. Outliers are extreme values that significantly deviate from the dataset's or graph's normal distribution of values.Observed data points that deviate greatly from the least-squares line are known as outliers. They have significant residuals, which are measured as the vertical separation between the line and the point. It is important to carefully investigate outliers. Sometimes, for a variety of reasons, they ought to be excluded from the data analysis.Therefore, a data point that is outrageously high or wildly low in comparison to the closest data point and the majority of the adjacent coexisting values is referred to as an outlier in the dataset or data graph you're working with.
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a tire manufacturer has a 60,000 mile warranty for tread life. the manufacturer considers the overall tire quality to be acceptable if less than 5% are worn out at 60,000 miles. the manufacturer tests 250 tires that have been used for 60,000 miles. they find that 3.6% of them are worn out. with this data, we test the following hypotheses.h0: the proportion of tires that are worn out after 60,000 miles is equal to 0.05.ha: the proportion of tires that are worn out after 60,000 miles is less than 0.05.in order to assess the evidence, which question best describes what we need to determine?
the best question is that if they can examine a sample of tires used for 60,000 miles and determine the proportion that is worn out, then how likely is that proportion to be 3.6% or less?
we are given the information that an A tire manufacturer has a 60,000-mile warranty and the manufacturer considers the overall tire quality to be accepted if less than 5% are worn out at 60,000 miles, also the manufacturer tested 250 tires that have been used for 60,000 miles. they find that 3.6% of them are worn out. So here the Hypotheses can be that:
1) The proportion of tires that are worn out after 60,000 miles is equal to 0.05 and
2) The proportion of tires that are worn out after 60,000 miles is less than 0.05.
We need to deny the first hypothesis with an alternative one. You cannot demonstrate that the average is 3.6%, but if you by one means or another decide that the probability the average is greater than 3.6% is lower than 100% minus your confidence level, at that point you'll be able to deny the first hypothesis and acknowledge the second one as new average.
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for a binomial probability distribution with 8 trials and probability of success equal 0.95. what is probability of exactly six successes? (use the binomial tables)
0.0515 is probability of exactly six successes .
What is probability in math?
Probability refers to potential. The subject of this area of mathematics is the occurrence of random events. The range of the value is 0 to 1. To forecast how likely events are to occur, probability has been introduced in mathematics.Binomial probability with
Number of trials (n) = 8
probability of success ( ρ ) = 0.95
ρ = 0.95
p + q = 1
q = 1 - p
= 1 - 0.95
q = 0.05
x ~ bin( n , ρ )
ρ( X = x ) = ⁿCₓ Pˣ . qⁿ⁻ˣ
the probability of exactly six success .
ρ ( X = 6 ) = ⁸C₆ ( 0.95)⁶ ( 0.05 )⁸ ⁻⁶
= 28 ( 0.7351 ) ( 0.05)²
= 28 ( 0.7351 ) ( 0.0025 )
= 0.051457
ρ( X = 6 ) = 0.0515
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ints
mily
Question 5
Which of the following is true?
O1-51-4
O1-41 <1-51
O1-51-5
O 1-41 > 151
Question 6
After simplification, the second option |−4| < |−5| is true.
In the given question,
There are four options. We have to check which option is true.
The given options are
1) |−5| < 4
2) |−4| < |−5|
3) |−5| = −5
4) |−4| > |5|
To find the true option we solve the given option one by one.
The first option is
|−5| < 4
Now solving
As we know that every value from the mod always give positive value.
So if we solve |−5| then the value is 5 and 5 is greater than 4. But in the given statement states that 4 is greater that 5. So the first statement is wrong.
Now solving the second statement.
|−4| < |−5|
After solving |−4|, the value is 4 and |−5| is 5.
So the simplified statement is 4 < 5 which is true.
Hence, the second statement is true.
Now we get the true statement so we haven't solve any further option.
If you want the solve next option the the way of solving the option is same.
Hence, the second option |−4| < |−5| is true.
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On a coordinate plane, a parabola opens up. It goes through (negative 7, 5), has a vertex at (negative 4, negative 4), and goes through (negative 1, 5).
The graph of the function f(x) = x2 + 8x + 12 is shown. Which statements describe the graph? Check all that apply.
The vertex is the maximum value.
The axis of symmetry is x = –4.
The domain is all real numbers.
The range is all real numbers.
The function is increasing over (–∞, –4).
The x-intercepts are at (–6, 0) and (–2, 0).
Answer:
B: The axis of symmetry is x + -4.
C: The domain is all real numbers.
F: The x-intercepts are at (-6, 0) and (-2, 0).
Step-by-step explanation:
worked on edge 2022
The answer is the First, Third, and Last
Select the correct answer. There are three cell phone models in a store. When selecting a new cell phone, 25% of the customers choose model A, 33% choose model B, and 32% choose model C. The remaining customers buy from an old collection on which the average profit is $50. If the average profit earned on models A, B, and C is $60, $75, and $40, respectively, what is the expected value of the profit earned on all models?
Given the average profits on the different cell phone models, the expected value of profit to be earned on all models is $57.55
How to find the expected value?The expected value of the profit on these models of cell phones can be found based on the number of customers who choose the model and the profit of that model.
The expected value of the profit on all the models is:
= ∑ ( percentage of customers x Profit per model)
= (Percentage of customers model A x Profit from model A) + (Percentage of customers model B x Profit from model B) + (Percentage of customers model C x Profit from model C) + (Percentage of customers old collection x Profit from old collection)
= (25% x 60) + (33% x 75) + (32% x 40) + ( (1 - 25% - 33% - 32%) x 50)
= $57.55
Options for this question are:
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Kaitlyn bakes two rectangular cakes to put on top of each other. Each cake is 6 inches wide, 12 inches long and 3 inches high. She removes the cake from the pan to frost it. How many square inches of frosting does she need for both cakes?
Bret Rockford bought a home with a 11.5% adjustable rate mortgage for 20 years. He paid $10.67 monthly per thousand on his original loan. At the end of 1 year he owes the bank $70,000. Since then interest rates have increased to 13%. The bank will renew the mortgage at this rate, or Bret can pay the bank $70,000. He decides to renew and will now pay $11.72 monthly per thousand on his loan. (You can ignore the small amount of principal paid during the year.)
The old monthly payment is $
.
The new monthly payment is $
.
The percent increase in her monthly payment (to the nearest tenth) is
%
The old monthly payment was = 10.67 x 70 = 746.9
The new monthly payment is = 11.72 x 70 = 820.4
The percent increase in his monthly payment is =9.8406%
Given,
Sandra Williams bought a home with a 11.5% adjustable rate mortgage for 20 years. He paid $10.67 monthly per thousand on his original loan
According to the question:
So, per thousand value of $70,000 is 70000/1000 =70
Now, the old monthly payment was = 10.67 x 70 = 746.9
He decides to renew and will now pay $11.10 monthly per thousand on his loan.
So, the new monthly payment is = 11.72 x 70 = 820.4
The percent increase in his monthly payment is= 11.72 /10.67 - 1 x 100
9.8406 % and to nearest tenth it is 9.8406%
Hence, the old monthly payment was = 10.67 x 70 = 746.9
the new monthly payment is = 11.72 x 70 = 820.4
The percent increase in his monthly payment is =9.8406%
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Evaluate if x³ if x = 6
This is a quiz but I was sick so I do now to do this pls show work
Answer:
Step-by-step explanation:
Answer: 108
Step-by-step explanation:
6 x 6 x 6=10
Solve the system by substitution.
Answer:
(-7, -7)
Step-by-step explanation:
y = x; x = y
9x - 2y = -49
9(y) - 2y = -49
9y - 2y = -49
7y = -49
÷7 ÷7
----------------
y = -7
y = x
-7 = x
or
9x - 2y = -49
9x - 2(-7) = -49
9x + 14 = -49
-14 -14
-------------------
9x = -63
÷9 ÷9
---------------
x = -7
(-7, -7)
I hope this helps!
the real estate group ny reports that the mean monthly rent for a one-bedroom apartment without a doorman in manhattan is $2886. assume the standard deviation is $586. a real estate firm samples 94 apartments. what is the probability that the sample mean rent is less than $2,918.03?
Probability that the sample mean rent is less than $2,918.03 is 0.050154
We are given that the Real Estate Group NY reports that the mean monthly rent for a one-bedroom apartment without a doorman in Manhattan is $2886. Assume the standard deviation is $586.
Also, a real estate firm samples 94 apartments.
Let X = sample mean rent
The sample mean's z-score probability distribution is provided by;
Z = X-u/σ/[tex]\sqrt{n}[/tex] ~ N(0,1)
where, u= population mean monthly rent = $2,886
σ = standard deviation = $586
n = sample of apartments = 94
Now, the probability that the sample mean rent is less than $2,918.03 is given by = P( < $2,918.03)
P( < $2,918.03) = P(Z < 0.52)= 0.050154
The above probability is calculated using z table by looking at value of x = 0.52 in the z table which have an area of 0.050154
Therefore, probability that the sample mean rent is less than $2,918.03is 0.050154
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solve for b: 84,250=b(1.008)120
Answer: 696.511
Step-by-step explanation:
84,250 = b(1.008)120
84250 = 120.96b
b = 696.511
2 1. The drama teacher is making bandanas for costumes. She is cutting yard of fabric into 6 bandanas of the same size. Write and solve an equation to find how much fabric there will be for each bandana. (Example 1)
The equation which can be used to find how much fabric is used in each bandana is [1/2 ÷ 6 = x].
What are equations?A mathematical statement that has an "equal to" symbol between two expressions with equal values is called an equation. As in 3x + 5 Equals 15, for instance. Equations come in a variety of forms, including linear, quadratic, cubic, and others.The point-slope form, standard form, and slope-intercept form are the three main types of linear equations.So, the equation to get fabric used in each bandana:
Fabric cutting out to make 6 bandanas is 1/2 yards.Then, the fabric in each bandana will be:
1/2 ÷ 6 = xSolve as follows:
1/2 ÷ 6 = x1/2 × 1/6 = x1/12 = xSo, 1/12 yards of fabric is used in each bandana.
Therefore, the equation which can be used to find how much fabric is used in each bandana is [1/2 ÷ 6 = x].
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Complete question:
The drama teacher is making bandanas for costumes. She is cutting 1/2 yard of fabric into 6 bandanas of the same size. Write and solve an equation to find how much fabric there will be for each bandana.
What is the slope of a line that is parallel to the line y = x 2?
Find the LCM of
2 x 3 x 3 x 5 and 3 x 3 x 5 x 5
Answer:
LCM of 90 and 225 = 450
I'm not too sure I understand
2 x 3 x 3 x 5 = 90, and 3 x 3 x 5 x 5 = 225
90: 90, 180, 270, 360, 450
225: 225, 450
LCM = 450
I really need help on this one.The amount of milk needed for each of 5 recipes is shown on the line plot.What is the total amount of milk needed for the recipes?
The total amount of milk needed for the recipes, considering the line plot, is of:
5.25 cups.
How to obtain the total amount of milk needed for the recipes?The total amount of milk needed for the recipes is obtained adding all the measures of the line plots.
The measures of the line plot given by the image at the end of the answer are given as follows:
Two measures of 1/4 cups = 0.25 cups, which is half the distance between 0 and 1/2.One measure of 1.25 cups, which is the value at the midpoint between 1 and 1.5.One measure of 1.5 cups.One measure of 2 cups.The total amount is given by the sum of all these measures, hence:
2 x 0.25 + 1.25 + 1.5 + 2 = 5.25 cups.
Missing InformationThe line plot is given by the image at the end of the answer.
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Solve the inequality for x and identify the graph of its solution.
4|x + 2| < 8
Solution of the inequality 4|x + 2| < 8 is given by x > -4 and x<0.
Solution from the given graph is option B where open interval x<0 and open interval x > -4 is shown.
As given in the question,
Given inequality is :
4|x + 2| < 8
Divide by 4 both the side of inequality we get,
⇒(4|x + 2|)/ 4 < 8/4
⇒|x+2| < 2
⇒ (x+2) < 2 or (x+2) >-2
⇒ x< 2-2 or x > -2 -2
⇒ x < 0 or x > -4
Solution of its graph is shown by option B number line where open interval -4 is greater than and less than open interval 0.
Therefore, solution of the inequality 4|x + 2| < 8 is given by x > -4 and x<0.
Solution from the given graph is option B where open interval x<0 and open interval x > -4 is shown.
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Paul had two catches during his football game. On his first catch, he lost 12 yards. On his second catch, he gained 26 yards. How many total yards did Paul gain from both of these catches?
Paul gained a total of 14 yards from both the catches during his football game.
Given,
Paul had two catches during his football game.
Paul lost 12 yards on his first catch.
Paul gained 26 yards on his second catch.
We have to find the total yards Paul gain from both the catches;
Here,
Total gained yards by Paul = Gained yards by Paul - Lost yards by Paul
Total gained yards by Paul = 26 - 12
Total gained yards by Paul = 14 yards
That is,
Paul gained a total of 14 yards from both the catches during his football game.
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