Answer:
F. None of the above.
Step-by-step explanation:
Let the null and alternate hypothesis be
H0: p1 ≥ p2 against the claim Ha: p1 < p2
the significance level is 0.1
The critical region is z < z∝= 1.28
The test statistic is
Z= ( p^1-p^2)- (p1-p2)/√p1^q1^/n1 + p2^q2^/n2
Here n1= 45 , n2= 75
p1= 0.12 p2= 0.14
q1= 0.88 q2= 0.86
z= 0.12- 0.14/√0.12*0.88/45 +0.14*0.86/75
Z= 0.02/ √0.00235 + 0.00161
Z= 0.02/0.062891
z= 0.318
The calculated value of z= 0.318 lies in the critical region z < 1.28
therefore accept Ha.
All of the options are incorrect as the critical value for one tailed test for 0.1 is 1.28 .
Please helpppppp asap
Answer:
Step-by-step explanation:
if a car is worth 16400 and it depreciates 8.25, in 10 years how much will it be worth?
Answer:
$6932.73
Step-by-step explanation:
16400(0.9175)^10
6932.73464
Dana is planning the school plenie and needs to decide what food vendor to
use. She aska 750 students whether they would rather have a taco truck or a
fruit smoothie cart. The results of the survey are shown in the table
Taco truck Fruit smoothies Total
Eighth graders 70
30
100
Ninth graders
80
120
200
Total
160
150
900
What is the relative frequency of eighth graders who want fruit smoothies?
A. 0.27
0.0.30
O 0, 0.23
D. 0.10
Answer:
Answer is D
Step-by-step explanation:
The scatter chart below displays the residuals verses the dependent variable, x. Which of the following conclusions can be drawn based upon this scatter chart? a. The residuals are normally distributed. b. The model over predicts the value of the dependent variable for small values and large values of the independent variable. c. The model fails to capture the relationship between the variables accurately, and there may exist nonlinear relationship. d. The residuals have a constant variance.
Answer: Hello the scatter plot related to your question is missing attached below is the scatter plot
answer : The model fails to capture the relationship between the variables accurately, and there may exist nonlinear relationship ( C )
Step-by-step explanation:
The conclusion that can be drawn based upon the scatter chart is that The model fails to capture the relationship between the variables accurately, and there may exist nonlinear relationship
A scatter plot helps in observing the relationship within different numeric variables but the scatter plot attached fails in the showing the actual relationship
An engineer designed a valve that will regulate water pressure on an automobile engine. The engineer designed the valve such that it would produce a mean pressure of 5.7 pounds/square inch. It is believed that the valve performs above the specifications. The valve was tested on 8 engines and the mean pressure was 6.2 pounds/square inch with a variance of 0.49. A level of significance of 0.05 will be used. Assume the population distribution is approximately normal. Make the decision to reject or fail to reject the null hypothesis.
Answer:
The p-value of the test is 0.0416 < 0.05, which means that the null hypothesis is rejected.
Step-by-step explanation:
The engineer designed the valve such that it would produce a mean pressure of 5.7 pounds/square inch. It is believed that the valve performs above the specifications.
At the null hypothesis, we test that the mean is the specification value of 5.7, that is:
[tex]H_0: \mu = 5.7[/tex]
At the alternate hypothesis, we test that the mean is above the specifications, that is, above 5.7. So:
[tex]H_a: \mu > 5.7[/tex]
The test statistic is:
[tex]t = \frac{X - \mu}{\frac{s}{\sqrt{n}}}[/tex]
In which X is the sample mean, [tex]\mu[/tex] is the value tested at the null hypothesis, s is the standard deviation of the sample and n is the size of the sample.
5.7 is tested at the null hypothesis:
This means that [tex]\mu = 5.7[/tex]
The valve was tested on 8 engines and the mean pressure was 6.2 pounds/square inch with a variance of 0.49.
This means that [tex]n = 8, X = 6.2, s = \sqrt{0.49} = 0.7[/tex]
Test statistic:
[tex]t = \frac{X - \mu}{\frac{s}{\sqrt{n}}}[/tex]
[tex]t = \frac{6.2 - 5.7}{\frac{0.7}{\sqrt{8}}}[/tex]
[tex]t = 2.02[/tex]
P-value of the test and decision:
The p-value of the test is the probability of finding a sample mean above 6.2, which is the p-value of t = 2.02, using a right-tailed test with 8 - 1 = 7 degrees of freedom.
With the help of a calculator, this p-value is 0.0416.
The p-value of the test is 0.0416 < 0.05, which means that the null hypothesis is rejected.
Identify the terminal point for a 30° angle in a unit circle.
The terminal point of the unit circle (cos θ, sine θ) for 30° is ( √3/2 , 1/2 ).
What is the terminal point?"The terminal point is the ray that has been rotated around the origin to form an angle with the stationary ray which is the initial side of the angle. They are sine and cosine values of the most common acute-angle measures".
For the given question,
Angle = 30°
The terminal point on the unit circle has the cosine as x -coordinate and the sine as y - coordinate are mostly acute-angle measures.
Here, θ = 30°
The x-coordinate is cos 30° = [tex]\frac{\sqrt{3} }{2}[/tex]
The y-coordinate is sin 30° = [tex]\frac{1}{2}[/tex]
Hence we can conclude that the terminal point for 30° is ( √3/2 , 1/2).
Learn more about terminal points of circles here
https://brainly.com/question/23361272
#SPJ2
Answer:
Hihi <333
Step-by-step explanation:
The answer is C.
Whenever looking at questions from this site make sure to carefully read your question so you don't accidentally click the wrong answer
PLEASE HELP I DONT KNOW
Answer:
28π is the circumference
Step-by-step explanation:
Solving systems by elimination.
Answer:
These are the answers :) If you have any questions feel free to ask!
1. (1,3)
2. (6,6)
3. (-1,-2)
4. (6,3)
PLSSS ASAP HELP!! Find the area of the parallelogram shown below. The formula to find area of a parallelogram is base x height.
Given:
A parallelogram with base c, height h and other side a.
[tex]a=55.83[/tex] yds
[tex]c=100[/tex] yds
[tex]h=52[/tex] yds
To find:
The area of the parallelogram.
Solution:
The area of a parallelogram is:
[tex]A=base\times height[/tex]
In the given parallelogram, the base is [tex]c=100[/tex] yds and the height is [tex]h=52[/tex] yds. So, the area of the parallelogram is:
[tex]A=100\times 52[/tex]
[tex]A=5200[/tex]
Therefore, the area of the parallelogram is 5200 square yds . hence the correct option is A.
Is this relation a function?*
{(5, 1),(-1,5),(-5, 1), (1,-5), (5,3)}
A. Function
B. Not a function
Answer:
B. Not a function
Step-by-step explanation:
can someone pls give me an explanation and answer?
Answer:
x=50
Step-by-step explanation:
It is a line so it should be 180 degrease. You already have two of the angles and to find the third (x) you just need to subtract them from 180. 180-105=75, and 75-25 is 50, so x is 50.
Answer: x=50 degree
Step-by-step explanation: angle in a straight line is equal to 180 degrees.
Given;
25 degrees &
105 degrees.
180– (105+25)
180– 130
= 50degrees
Fay read an article that said 26% of Americans can speak more than one language. She was curious if this
figure was higher in her city, so she tested H, : p=0.26 vs. H : p > 0.26, where p represents the
proportion of people in her city that can speak more than one language.
She found that 40 of 120 people sampled could speak more than one language. The test statistic for these
results was 2 1.83.
Assuming that the necessary conditions are met, what is the approximate P-value for Fay's test?
You may round to three decimal places.
P-value
Answer:
0.0336
Step-by-step explanation:
the hint says so
According to the result of the test statistic, the approximate p-value for Fay's test is of 0.034.
How to find the p-value of a test?
It depends on the test statistic z, as follows.
For a left-tailed test, it is the area under the normal curve to the left of z, which is the p-value of z.For a right-tailed test, it is the area under the normal curve to the right of z, which is 1 subtracted by the p-value of z.For a two-tailed test, it is the area under the normal curve to the left of -z combined with the area to the right of z, hence it is 2 multiplied by 1 subtracted by the p-value of z.In this problem, we are testing if the proportion is greater than a value, hence it is a right-tailed test.
The test statistic is z = 1.83, which has a p-value of 0.966.
1 - 0.966 = 0.034.
Hence, the approximate p-value for Fay's test is of 0.034.
You can learn more about p-values at brainly.com/question/13873630
Find the missing side
Answer:
Step-by-step explanation:
c^2 = a^2 - b^2
13^2 - 5^2 = -12
Answer:
Step-by-step explanation:
IVE BEEN ASKING FOR AN HOUR PLEASE HELP!! PLEASE ANYONE!! solve for x
Answer:
[tex]\sqrt{3}[/tex] sqrt(3)
Step-by-step explanation:
Pythagroean theorem shows that x^2+sqrt(2)^2=sqrt(5)^2
In other words,
x^2+2=5
x^2=3
x=sqrt(3)
If the pre-image (4,-3) is translated <-6,-8> the image will be located at: (?,?)
Answer:
(-2, - 11)
Step-by-step explanation:
Coordinate of preimage = (4, - 3)
Pre image is translated <-6,-8>
X - coordinate of preimage = 4
Translation, x coordinate + (-6)
Y - coordinate of preimage = - 3
Translation, x coordinate + (-8)
Image will be located at (4+(-6) ; - 3+(-8))
Hence, we have (-2, - 11)
10. A new fish tank has a volume of 10x2 + 30x -40 cubic inches. Assuming V =
LWH, determine the expressions of the length, width and height of the fish tank.
9514 1404 393
Answer:
10, (x+4), (x -1)
Step-by-step explanation:
The given volume expression can be factored as ...
V = 10x² +30x -40
= 10(x² +3x -4)
= 10(x +4)(x -1)
The expressions representing length, width, and height might be ...
10, (x+4), (x -1)
A drawer contains 4 blue socks, 8 black socks, and 10 white
socks. If one sock is taken out of the drawer without looking,
find the probability that each of the following will be drawn.
Express each ratio as a fraction in simplest form.
Answer:
7: 2/11
8: 4/11
9: 5/11
10: 6/11
11: 9/11
12: 7/11
A random sample of the students at two high schools were asked whether they were satisfied or unsatisfied with their school's variety of
extracurricular activities. The results are summarized in the table.
Satisfied Unsatisfied Total
37
23
60
High School A
High School B
Total
42
18
60
79
41
120
What is the approximate probability that a randomly selected student is satisfied with his or her school's variety of extracurricular activities?
O A. 0.308
OB. 0.468
O c. 0.617
OD. 0.658
O E 0.790
Answer: D. 0.658
Step-by-step explanation:
A randomly selected student would be from either of the high schools so both high schools need to be taken into account.
The probability that a randomly selected student is satisfied with his or her school's variety of extracurricular activities can be calculated as:
= Number of students from both high schools that are satisfied / Total number of students in both high schools
= 79 / 120
= 0.658
Choose the best definition for the given term:
Domain
Plz help me well mark brainliest if correct.........?
Answer:
The answer is B
Step-by-step explanation:
8 times 12 = 96
2L + 2W = 40
2(8) + 2(12) = 40
because
16 + 24 = 40
Hope this helps!
Which value from the set {1, 2, 9, 20} will make 4(3 + x) = 6x + 4x true
Answer:
2
Step-by-step explanation:
4(3+2) = 6(2)+4(2)
4(5) = 12 + 8
20=20
Answer:
2
Step-by-step explanation:
4(3+2)=20
6(2)+4(2)
12+8=20
so 2 is the answer i hope this answer helps you and solve the question if you don't know please use calculaotor this question you need to use substitution so substitute values from the set as x and try putting in to both equation to see both equation has same answer and matches
ADD TEXT Find the 14th term of the sequence: 2, 4, 8, 16...
a.4096
b.8192
c.16384
d.65536
Answer:
it's actually 32,768 so yeah
but choose either c or d
Can someone help really please
Answer:
C
Step-by-step explanation:
Since it is an equilateral triangle, all side are the same length. If the perimeter of all the sides is equal to 60, the length of one side should be the perimeter divided by 3.
In a lab experiment, 2400 bacteria are placed in a petri dish. The conditions are such
that the number of bacteria is able to double every 19 hours. How long would it be, to
the nearest tenth of an hour, until there are 3300 bacteria present?
Answer:
It takes 8.7 hours for there to be 3300 bacteria present.
Step-by-step explanation:
Exponential equation for population growth:
The exponential equation for population growth is given by:
[tex]P(t) = P(0)(1+r)^t[/tex]
In which P(0) is the initial population and r is the growth rate.
2400 bacteria are placed in a petri dish.
This means that [tex]P(0) = 2400[/tex]
So
[tex]P(t) = P(0)(1+r)^t[/tex]
[tex]P(t) = 2400(1+r)^t[/tex]
The conditions are such that the number of bacteria is able to double every 19 hours.
This means that [tex]P(19) = 2P(0)[/tex]. We use this to find 1 + r.
[tex]P(t) = P(0)(1+r)^t[/tex]
[tex]2P(0) = P(0)(1+r)^{19}[/tex]
[tex](1+r)^{19} = 2[/tex]
[tex]\sqrt[19]{(1+r)^{19}} = \sqrt[19]{2}[/tex]
[tex]1 + r = 2^{\frac{1}{19}}[/tex]
[tex]1 + r = 1.03715504445[/tex]
So
[tex]P(t) = 2400(1+r)^t[/tex]
[tex]P(t) = 2400(1.03715504445)^t[/tex]
How long would it be, to the nearest tenth of an hour, until there are 3300 bacteria present?
This is t for which [tex]P(t) = 3300[/tex]. So
[tex]P(t) = 2400(1.03715504445)^t[/tex]
[tex]2400(1.03715504445)^t = 3300[/tex]
[tex](1.03715504445)^t = \frac{3300}{2400}[/tex]
[tex]\log{(1.03715504445)^t} = \log{\frac{33}{24}}[/tex]
[tex]t\log{1.03715504445} = \log{\frac{33}{24}}[/tex]
[tex]t = \frac{\log{\frac{33}{24}}}{\log{1.03715504445}}[/tex]
[tex]t = 8.7[/tex]
It takes 8.7 hours for there to be 3300 bacteria present.
The population of a city increases by 4.7% per year. If this
year's population is 77,000, what will next year's population
be, to the nearest individual?
Around balloon has a diameter of 7 3/8 inches which of the following is closest to the number of cubic inches of Air can hold it?
Answer:
F
Step-by-step explanation:
It might not be F. I think it is though
a lawn mowing company had to mow one third of a mile of grass. To make it quicker they split the amount evenly between 7 workers. What fraction of the mile did each mow?
Answer:
1/21
Step-by-step explanation:
first take a third then divide by seven
plz help plz plz plz
Answer:
Depth = 5
Width = 4
Height = 4
Total = 80
Step-by-step explanation:
For depth, width, and height you just count
The total equals, depth times width times height = 5x4x4 = 80
Find the surface area of a cylinder with a height of 8m and a base diameter of 12m .
Answer: A≈527.79m²
Step-by-step explanation:
HOPE THIS HELPS
If 2^2x = 2^3, what is the value of x?
Answer:
x=2
Step-by-step explanation:
