Answer:
Number of student bring their lunch = 60
Step-by-step explanation:
Given:
Total number of student = 600
Student bring their lunch = 10%
Find:
Number of student bring their lunch
Computation:
Number of student bring their lunch = Total number of student x Student bring their lunch
Number of student bring their lunch = 600 x 10%
Number of student bring their lunch = 60
In a survey of 140 undergraduate students in an elementary statistics class at UW, 12 said they were left-handed and 128 said they were right-handed. Assume the students are representative of all UW undergrads. Do these data provide evidence that the proportion of UW undergrads who are left-handed differs from the national proportion of 0.10 at the 5% significance level?
data: 12 out of 140, null probability 0.1 z = 0.563, p-value = 0.5731 alternative hypothesis: true p is not equal to 0.1 95 percent confidence interval: 0.04971124 0.14384532 sample estimates: P 0.08571429
a) Define the null and alternative hypothesis for answering the question being asked. Define both in words and in symbols.
b) The R output for running this test is shown below. What do you conclude for this test? Include your decision and an interpretation in the context of the problem. Be specific.
c) Explain in words what the p-value of 0.5731 means.
Answer:
a) The null hypothesis, H₀; p = 0.1
The alternative hypothesis, Hₐ; p ≠ 0.1
b) The proportion of left handed undergrads in UW differs from the national proportion of 0.1
c) The p-value is larger than the level of significance therefore there is statistical evidence supporting the alternative hypothesis
Step-by-step explanation:
The given data are;
The number of students in the sample, n = 140
The number of left handed students in the sample = 12
The number of right handed students in the sample = 128
The proportion of left handed students in the sample, [tex]\hat p[/tex] = 12/140 = 0.08571429
The significance level = 5%
The national proportion, p₀ = 0.1
a) The null hypothesis, H₀; p = 0.1
The null hypothesis is the proportion of left handed students in the UW is the same as the national proportion of 0.1
The alternative hypothesis, Hₐ; p ≠ 0.1
The alternative hypothesis is the proportion of left handed students in the UW is not the same as the national proportion of 0.1
b) Given from the output values of the Confidence Interval at 95% confidence level, (0.04971124, 0.14384532) which are both positive values, and the p-value of 0.5731, we conclude that there is a difference between the proportion of left-handed UW undergraduate students and the national proportion of 0.1
c) Given that the p-value of 0.5731 is larger than the significance level of 0.05, we reject the null hypothesis and there is significant statistical evidence to suggest that the proportion of UW undergrads who are left handed differs from the national proportion of 0.10
2 Write 3 x 10 in standard notation.
Answer:
30
Step-by-step explanation:
3 x 10 = 30
add the 0 from ten to 3 and you get 30
WILL MARK BRAINLIST
The second story gutters of a house need to be cleaned. The gutters are 18.7 ft. high on the house. If a ladder will be placed 6 ft. from the base of the house, how long will the ladder need to be to reach the gutters? Round to the nearest foot. *
A. 18 ft
B. 19 ft
C. 20 ft
D. 21 ft
Answer:
C. 20 Ft.
Step-by-step explanation:
Using The Pythagorean Theorem, a²+b²=c² , insert the known variables into the equation.
18.7²+6²=c²
This gives you 385.69 + 36 = 385.69.
Next, square the result to find the missing side length.
[tex]\sqrt{385.69[/tex]
The answer comes out to around 19.6, which can be rounded up to 20ft.
Hope this helped!
Biologists are interested in how temperature changes might affect the frequency of mating calls of frogs. Twenty gray tree frogs are randomly chosen for a study. For each frog, the temperature of its habitat (in degrees Celsius) and the frequency of its mating call (in tones per second) are recorded. The 96 percent confidence interval for estimating the population slope of the linear regression line predicting mating call frequency based on habitat temperature is given by 2.341±0.768. Assume that the conditions for inference for the slope of the regression line have been met. Which of the following is the correct interpretation of the calculated confidence interval?
a. We are 96 percent confident that the increase in mating call frequency of an individual frog when its habitat temperature increases by 1 degree Celsius is between 1.573 and 3.109 tones per second.
b. We are 96 percent confident that the average increase in mating call frequency in the sample of frogs when habitat temperature increases by 1 degree Celsius is between 1.573 and 3.109 tones per second.
c. We are 96 percent confident that the average increase in mating call frequency in the population of frogs when habitat temperature increases by 1 degree Celsius is between 1.573 and 3.109 tones per second.
d. We are 96 percent confident that the average increase in habitat temperature in the sample of frogs when mating call frequency increases by one tone per second is between 1.573 and 3.109 degrees Celsius.
e. We are 96 percent confident that the average increase in habitat temperature in the population of frogs when mating call frequency increases by one tone per second is between 1.573 and 3.109 degrees Celsius.
Answer:
c. We are 96 percent confident that the average increase in mating call frequency in the population of frogs when habitat temperature increases by 1 degree Celsius is between 1.573 and 3.109 tones per second.
Step-by-step explanation:
x% confidence interval:
A confidence interval is built from a sample, has bounds a and b, and has a confidence level of x%. It means that we are x% confident that the population mean is between a and b.
The 96 percent confidence interval for estimating the population slope of the linear regression line predicting mating call frequency based on habitat temperature is given by 2.341±0.768.
This means that the 96% CI is between:
2.341 - 0.768 = 1.573
2.341 + 0.768 = 3.109
Which of the following is the correct interpretation of the calculated confidence interval?
We are 96% sure that the population mean(population of frogs) in mating call frequency is in this interval. So the correct answer is given by option c.
There are 12 inches in 1 foot. Jada is working on improving her vertical jump. She records the measurements in feet and inches. Currently, her standing reach is 6 feet from the ground. The highest point of her jump is 108 inches.
How many inches are in 6 feet?
6 feet = 72 inches.
Complete the statement to describe how to convert feet to inches.
To find the number of inches, ? the number of feet by the unit rate, ? inches per foot.
Answer:
To find out how any inches are in a certain amount of feet you have to multiply it by 12. For example 4 feet is equal to 48 inches. (4x12)
Step-by-step explanation:
I Need help plz will give brainlyist for the correct answer
In the class legal case of Whitus v. Georgia, a jury pool of 90 people was supposed to be randomly selected from a population in which 27% were minorities. Among the 90 people se- lected, 7 were minorities. The baseline hypothesis, or null, was that the jury selection process was random. The test hypothesis, or alternative, was the process was not random (suggesting bias).
Find the probability of getting 7 or fewer minorities in a world where the jury pool selection pro- cess was supposed to be random.
a. .35400000
b. .00000354
C..00000451
d. 00000000
Answer:
C..00000451
Step-by-step explanation:
For each person in the jury, there are only two possible outcomes. Either they were minorities, or they were not. The probability of a person being a minority is independent of any other person. This means that we use the binomial probability distribution to solve this question.
Binomial probability distribution
The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.
[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]
In which [tex]C_{n,x}[/tex] is the number of different combinations of x objects from a set of n elements, given by the following formula.
[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]
And p is the probability of X happening.
Population in which 27% were minorities.
This means that [tex]p = 0.27[/tex]
90 people
This means that [tex]n = 90[/tex]
Find the probability of getting 7 or fewer minorities in a world where the jury pool selection pro- cess was supposed to be random.
This is
[tex]P(X \leq 7) = P(X = 0) + P(X = 1) + P(X = 2) + P(X = 3) + P(X = 4) + P(X = 5) + P(X = 6) + P(X = 7)[/tex]
In which
[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]
[tex]P(X = 0) = C_{90,0}.(0.27)^{0}.(0.73)^{90} \approx 0[/tex]
[tex]P(X = 1) = C_{90,1}.(0.27)^{1}.(0.73)^{89} \approx 0[/tex]
[tex]P(X = 2) = C_{90,2}.(0.27)^{2}.(0.73)^{88} \approx 0[/tex]
[tex]P(X = 3) = C_{90,3}.(0.27)^{3}.(0.73)^{87} = \approx 0[/tex]
[tex]P(X = 4) = C_{90,4}.(0.27)^{4}.(0.73)^{86} = 0.00000002[/tex]
[tex]P(X = 5) = C_{90,5}.(0.27)^{5}.(0.73)^{85} = 0.00000015[/tex]
[tex]P(X = 6) = C_{90,6}.(0.27)^{6}.(0.73)^{84} = 0.00000080[/tex]
[tex]P(X = 7) = C_{90,7}.(0.27)^{7}.(0.73)^{83} = 0.00000354[/tex]
So
[tex]P(X \leq 7) = 0.00000002 + 0.00000015 + 0.00000080 + 0.00000354 = 0.00000451[/tex]
So the correct answer is given by option C.
I need help with this plz help how do I do
Answer:
x ≤ 9 (Up to nine people)
Step-by-step explanation:
12 + x ≤ 21
x ≤ 9 (Subtracted both sides by 12)
Hope this helps! <3
The total surface area is _ square centimeters no freaking links bro
Answer:
180
Step-by-step explanation:
Find the area of each side by multiplying the length and width, times this answer by 2 since each face has another congruent face and then add them all up like (6*8*2)+(6*3*2)+(8*3*2)
Answer: Im most likely wrong since I suck at this stuff, but I think its 180
What is the approximate length of arc S on the circle below? Use 3.14 for pi. Round your answer to the nearest tenth.
What is the surface area?
Answer:
352.5 cm²
Step-by-step explanation:
Surface area
= (6.5 × 7.5 ÷ 2) × 2 + (7.5 × 13.5) × 3
= 48.75 + 303.75
= 352.5 cm²
Mookie Betts of the Boston Red Sox had the highest batting average for the 2018 Major League Baseball season. His average was 0.352. So, the likelihood of his getting a hit is 0.352 for each time he bats. Assume he has five times at bat tonight in the Red Sox-Yankee game. a. This is an example of what type of probability
Answer:
Binomial probability, with [tex]n = 5, p = 0.352[/tex]
Step-by-step explanation:
For each time Mookie Betts went to bat, there were only two possible outcomes. Either he got a base-hit, or he did not. The probability of getting a hit on each at-bat is independent of any other at-bat. This means that we use the binomial probability distribution to solve this question.
Binomial probability distribution
Probability of exactly x sucesses on n repeated trials, with p probability.
His average was 0.352.
This means that [tex]p = 0.352[/tex]
Assume he has five times at bat tonight in the Red Sox-Yankees game.
This means that [tex]n = 5[/tex]
a. This is an example of what type of probability
Binomial probability, with [tex]n = 5, p = 0.352[/tex]
write the sum as a fraction whole number or mixed number in lowest terms 5/14 + 5/14 + 2/14
Answer:
5/14 + 5/14 + 2/14 = 12/14 = 6/7
Step-by-step explanation:
cuantos kilogramos
equivale la fracciom 11/25
Answer:
En español:
11/25 = 0.44
0.9702 porque multiplica por 2.205.
In English:
11/25 = 0.44
0.9702 because you multiply by 2.205.
help me this is the second time i have asked this 20 points
don't put something dum pls
Answer:
1. y=7x
2. y=9x
3. y=13x
4. x=10y
5. y=(x)*5+1
7. Draw a line through (0, 1) and (1, 6)
8. Draw a line through (0, 2) and (1, 3)
9. Draw a line through (0, 3) and (6, 1)
10. Draw a line through (0, 40) and (20, 80)
I need help please help
Answer:
with wut XD
Step-by-step explanation:
A line that includes the point (-4, 9) has a slope of 1/2. What is its equation in point-slope
form?
Use the specified point in your equation. Write your answer using integers, proper fractions,
and improper fractions. Simplify all fractions.
Answer:
Hi Jewel, leave a comment if you want more explanation of the following:
Step-by-step explanation:
point-slope formula: y-y1 = m(x-x1)
slope-intercept formula: y = mx + b
using point-slope: y-9 = 1/2(x-(-4))
= y-9 = 1/2(x + 4)
= y -9 = 1/2x +2
we've almost made it to slope-intercept from , notice, but the problem says to leave it in point-slope form, so there you go :) and leave a comment if you need more explanations :)
to 3 d.p.
9.
The head of the axe shown in figure 14.1 is a wedge of length 18.3 cm and
width 12 cm. It has a cylindrical hole of diameter 4 cm and its greatest
thickness is 6 cm. Find the volume of the metal used in making the axe.
18.3 cm
12 cm
6 cm
Fig. 14.1
Answer:
12 cm (I don't understand bro):(
Solve for t.
4 (t + 1/4) = 3
Answer:
t=1/2
Step-by-step explanation:
Please help
Chose of the problems a or b
Thank you!!
Answer:
a. x = 13m, b. x = 12cm
Step-by-step explanation:
a. x² = 12² + 5² (Pyth. theorem)
x = 13 m
b. 15² = 9² + x² (Pyth. theorem)
x = 12 cm
20>5 + 2n - 9
Plz help me with this
Step-by-step explanation:
20>5+2n-9
20+9>5+2n
29-5>2n
n>12
hope it helps.
Line segment AB has endpoints A(2,7) and B(6,5). Line segment CD has endpoints C(0,2) and D(4, -6). Part A: Determine the slope of AB and CD. Part B: Can line segments AB and CD be two opposite sides of a parallelogram? Explain your reasoning.
Answer:
slope of AB = -1/2
slope of CD = -2
No.
Step-by-step explanation:
slope of AB = (5-7)/(6-2) = -2/4=-1/2
slope of CD = (-6-2)/(4-0) = -8/4 =-2
for being two opposite sides of parallelogram, their slopes should be equal. But there slopes aren't equal
How can you break up the figure into familiar shapes to determine the area?
A smaller rectangle is cut out of a larger rectangle. The larger rectangle has a base of 6 yards and height of 7 and one-fourth yards. The smaller rectangle has a base of 3 and two-thirds yards and height of 5 yards.
Subtract the area of the 5 yd by 3 and two-thirds yd rectangle from the area of the 6 yd by 7One-fourth yd rectangle.
Add the area of the 5 yd by 3 and two-thirds yd rectangle to the area of the 6 yd by 7One-fourth yd rectangle.
Subtract the area of the 6 yd by 7One-fourth yd rectangle from the area of the 5 yd by 3 and two-thirds yd rectangle.
Multiply 6 yd by 7One-fourth yd and subtract 5 and 3 and two-thirds from the product.
Answer:
a
Step-by-step explanation:
edge 2021
Answer:
A: Subtract the area of the 5 yd by 3 and two-thirds yd rectangle from the area of the 6 yd by 7 One-fourth yd rectangle.
Step-by-step explanation:
Just did the test on edge
In ANOP, the measure of P=90°, PN = 95 feet, and OP = 31 feet. Find the measure
of ZO to the nearest degree.
Answer: 72
Step-by-step explanation:
Let g(x)= - x^2 + 5x + 2, find and simplify g(-3)
Answer:
g(-3) = -4
Step-by-step explanation:
We are given the following function:
[tex]g(x) = -x^2 + 5x + 2[/tex]
Find and simplify g(-3)
We want to find the value of g when [tex]x = -3[/tex]. So
[tex]g(-3) = (-3)^2 + 5(-3) + 2 = 9 - 15 + 2 = -4[/tex]
g(-3) = -4
Lucy and Ayu sold a total of 1,080 iPads. Lucy sold 7 times as many as Ayu. How many did each sell
Answer:
let L=lucy and A=ayu
l+a=1080
l=7a 7a+a=1080
8a=1080 8a/8=1080/8
ayu=135
l=7a l=7×135
l=945 so:-135+945=1080
Lucy sold 945 iPads and Ayu sold 135 iPads
What is an equation?"It is a mathematical statement which consists of equal symbol between two algebraic expressions."
For given question,
Let Lucy and Ayu sold 'x' and 'y' iPads respectively.
Lucy and Ayu sold a total of 1,080 iPads.
So, we get an equation,
⇒ x + y = 1080 ...............(i)
Lucy sold 7 times as many as Ayu.
So we get the second equation as,
⇒ x = 7y ................(ii)
Substitute above value of x in equation (i)
⇒ x + y = 1080
⇒ 7y + y = 1080
⇒ 8y = 1080
⇒ y = 135
This means, Ayu sold 135 iPads
Substitute above value of y in equation (ii)
⇒ x = 7(135)
⇒ x = 7 × 135
⇒ x = 945
This means, Lucy sold 945 iPads.
Therefore, Lucy sold 945 iPads and Ayu sold 135 iPads
Learn more about equation here:
https://brainly.com/question/649785
#SPJ2
1 Anthony purchased a car for $9,400. He paid 6.5% sales tax. How much tax did he pay?
Answer:
$8789
Step-by-step explanation:
you suptract 9,400. and 6.5%
Answer:
answer is $8789
Step-by-step explanation:
she is correct
circle A is defined as (x+5)^2+(y-6)^2=16, and circle B is defined as (x+3)^2+(y+2)^2=9. which transformation of circle A shows that circle B is similar
Answer: the answer is D “The center of circle A is translated left 2 and up 8, and the radius is enlarged by a scale factor of 4/3.”
Step-by-step explanation:
What is the equation of the horizontal asymptote?
A. y = 0
B. x = 0
C. y = x
D. x = 2
Answer:
horizontal asymptote at y = 0
Step-by-step explanation:
According to the definition of asymptotes, it is a line that the function gets closer and closer to as x goes to plus or minus infinity. The definition clearly does not mention anything about the finite value of x.
However, crossing of asymptotes does not happen in the case of vertical asymptotes because for a given x, the function has only one value but the same y can be obtained for different values of x.
It is a common misconception that graphs of functions can’t cross the asymptotes. This is true only for vertical asymptotes. In fact, there are several examples of functions whose graphs cross the horizontal asymptote. For example:
f(x) = (xe)^((-x)^2)
The horizontal asymptote of the above function is y=0 but it still crosses the x axis at x=0.
hope that helps, I really don't know thought. Quite tricky
What must the missing digit be so that the number rounds to 4 when rounding to the nearest whole number?
A. 5
B. 9
C. Any number greater than 5
D. The digit does not matter
Answer:
C. any number greater than 5
Step-by-step explanation:
when rounding numbers. 5 or more up the score. the number will be rounded to the next whole number
Answer:
Step-by-step explanation:
D the digit does not metter