Answer:
product rule
To multiply exponential terms with the same base, simply add the exponents. Simplify. The base of both exponents is a, so the product rule applies. Add the exponents with a common base
What is the radius and diameter of the following circle?
7 cm
Radius
cm
Diameter =
cm
The manager of a grocery store has taken a random sample of 100 customers. The average length of time it took the customers in the sample to check out was 3.1 minutes. The population standard deviation is known at 0.5 minutes. We want to test to determine whether or not the mean waiting time of all customers is significantly different than 3 minutes. Use a = 0.05. The test statistic is a 1.96 b. 1.64 c. 2.00 d. 0.056 The p-value is a. 0.0456 b. 0.0482 c. 0.4772 d. 0.9759 e. 0.9772 At the 5% level, you a. fail to reject the null hypothesis b. reject the null hypothesis
Answer:
The test statistic is c. 2.00
The p-value is a. 0.0456
At the 5% level, you b. reject the null hypothesis
Step-by-step explanation:
We want to test to determine whether or not the mean waiting time of all customers is significantly different than 3 minutes.
This means that the mean and the alternate hypothesis are:
Null: [tex]H_{0} = 3[/tex]
Alternate: [tex]H_{a} = 3[/tex]
The test-statistic is given by:
[tex]z = \frac{X - \mu}{\frac{\sigma}{\sqrt{n}}}[/tex]
In which X is the sample mean, [tex]\mu[/tex] is the value tested at the null hypothesis, [tex]\sigma[/tex] is the standard deviation and n is the size of the sample.
Sample of 100 customers.
This means that [tex]n = 100[/tex]
3 tested at the null hypothesis
This means that [tex]\mu = 3[/tex]
The average length of time it took the customers in the sample to check out was 3.1 minutes.
This means that [tex]X = 3.1[/tex]
The population standard deviation is known at 0.5 minutes.
This means that [tex]\sigma = 0.5[/tex]
Value of the test-statistic:
[tex]z = \frac{X - \mu}{\frac{\sigma}{\sqrt{n}}}[/tex]
[tex]z = \frac{3.1 - 3}{\frac{0.5}{\sqrt{100}}}[/tex]
[tex]z = 2[/tex]
The test statistic is z = 2.
The p-value is
Mean different than 3, so the pvalue is 2 multiplied by 1 subtracted by the pvalue of Z when z = 2.
z = 2 has a pvalue of 0.9772
2*(1 - 0.9772) = 2*0.0228 = 0.0456
At the 5% level
0.0456 < 0.05, which means that the null hypothesis is rejected.
2 questions plz Both will be in the comments
Solve the equation 8x= 2/3 what does x stand for
Answer:
x=1/12
Step-by-step explanation:
Answer:
x = 1/12
Step-by-step explanation:
8x = 2/3
divide both sides of the equation by 8:
x = 2/24 = 1/12
Guys what will be the population in five years.
I don’t know what i did wrong please help
Answer:
4990
Step-by-step explanation:
Multiply 638 by 5 then add 1800 and that's your answer
Answer:
4990
Step-by-step explanation:
638 x 5 = 3190
There is already a population of 1800, so then you add 3190 and 1800 to get 4900. The reason you add these numbers is because the population grows by 638 every year. They want to know how much it will grow in 5 years. You you multiply n (number) by y (year) to get t ( total).
Hope this helps!
Yours Truel, TheAnimeCatUwU
Is (9, 2) a solution to the system below?
x−4y=1, 2x−3y=3
1. Yes. (9, 2) is a solution to the system
2. No. (9, 2) is only a solution for the equation
3. No, (9, 2) is only a solution for the equation
4. No. (9, 2) is not a solution for either equation.
4. What is the slope of the graph of x – 2y = 8?
Answer:
The slope is 1/2
Step-by-step explanation:
Use the slope-intercept form y = m x + b to find the slope m
Hope this helps:)
What is the area of the triangle?
Answer:
52
Step-by-step explanation:
what is 37.13 + 21.03 =
Answer:
58.16
Step-by-step explanation:
is the answer
easy question
OMG PLEASE PLEASE PLEASE HELP!!!! I NEED THISS DONE ASAP!! Pleaseeee giving brainlest!!
Answer:
triangular prism
Answer:
it will be triangular prism
What is the range of the relation in the table below? у -2,0 -1,2 0,4 1,2 2,0
Answer:
6
Step-by-step explanation:
Range : hightest number - lowest number
4 - (-2)
PLEASE HELP QUICKKKKK WILL GIVE BRAINLY
Question 2 (02.03)
Figure TUVW is transformed to T’U’V’W’, as shown:
Which of the following sequences of transformations is used to obtain figure T’U’V’W’ from TUVW?
1. Reflection about the y-axis followed by a translation left by 2 units
2. Reflection about the x-axis followed by a translation left by 2 units
3. Counterclockwise rotation by 90 degrees about the origin followed by a translation right by 2 units
4. Counterclockwise rotation by 90 degrees about the origin followed by a translation left by 2 units
Paula ran 24 ft with the football and then passed it 15 feet to Newt. Newt ran 70 yards for a touchdown. What was the total number of feet the ball traveled?
Please tell me how you did it and give me the problem on how u did it
Answer:
249 ft
Step-by-step explanation:
70yd=210 ft so 210+15+24=249
Answer:
249 ft
Step-by-step explanation:
24 + 15 = 39
39/3 = 13
13 + 70 = 83
83 * 3 = 249
HELP ASAP! PLZZZZZZZZZZZZ
A company makes 150 bags.
23 of the bags have buttons but no zips.
35 of the bags have zips but no buttons.
49 of the bags have neither zips nor buttons.
How many bags have zips on them?
The ratio of the perimeters of two squares is 2:3. If the
area of the larger square is 324 square feet, what is the length, in feet, of the side of the smaller square?
Where the above ratio are given, the length of the side of the smaller square is approximately 14.7 feet.
How to compute the aboveThe area of a square is calculated by squaring the length of its side. Given that the area of the larger square is 324 square feet, we have:
(3/2)x² = 324
To solve for x, we can rearrange the equation and take the square root of both sides -
x² = (324 * 2) / 3
x² = 216
x ≈ √216
x ≈ 14.7
Hence , the length of the side of the smaller square is approximately 14.7 feet.
Learn more about ratio at:
https://brainly.com/question/12024093
#SPJ2
About how many times larger is 7.9×10^4 than 2.1×10^3?
Answer:
37.619047619 times larger
Step-by-step explanation:
7.9 × 10000
79000
2.1 × 1000
2100
79000 > 2100
79000 ÷ 2100
37.619047619
Part B What is the unit for Warren’s data?
This is due tommorrow at 12:44PM!!!!!!!!
Answer: The unit for Warren’s data is the number of cars sold each day.
Sorry for the answer being so late!
If the critic rates a total of 100 movies, what is the best prediction for the number of movies she gives exactly 3 stars?
А
27
B
47
50
D
35
Answer:
I think its gonna be 35 I'm not sure
What is the lateral surface area of the square pyramid represented by this net?
Enter your answer in the box
__ft²
Answer:
240ft
Step-by-step explanation:
took test
please help me out with this
Answer:
1) Since 4(5+x) is 4*5+4*x, and because 4*5+4*x is
help what’s the total lol i’m confused
Answer:
45
Step-by-step explanation:
brainliest?
7)
Given the function f(x) = 2x^3 - 18x^2 + 36x + 12, find f(2).
A)
f(2)= 20
B)
f(2) = 24
f(2)= 28
D)
f(2)= 32
Answer:
f(2) = 28
Step-by-step explanation:
f(2) = 2(2³) - 18(2²) + 36(2) + 12
= 2(8) - 18(4) + 72 + 12
= 16 - 72 + 72 + 12
= 16 + 12
= 28
If you flip a fair coin 5 times, what is the probability that you will get exactly 2 tails?
Answer:
.81
Step-by-step explanation:
Find the surface area, given that the area of each hexagon is 166 square feet.
Answer:
1148 square feet
Step-by-step explanation:
IXL box plots for 6th grade
PLEASE HELP ASAP IM DIEING HERE
Answer:
IQR = 8
Step-by-step explanation:
IQR is the difference between the 3rd quartile (12 in this case) and the 1st quartile (4 in this case)
The graph of f (2) is shown as a dashed curve.
10
8
1
6
1
1
4
1
1
2
0
2
4
-6
-8
-10
-10
8
6
2
0
2
8
10
Answer:
???
Step-by-step explanation:
The ratio table below shows the relationship between the weight of apples purchased and the total cost of the apples. Apple Cost Weight (lb) Total cost ($) 1 2 8 6 12 10 20 When the weight of apples is increased by a factor of 4, by what factor does the total cost increase? 3 6 08
Answer:
8
Step-by-step explanation:
Helpppppppppp plsssssss
Answer:
1.05
Step-by-step explanation:
shop A: 2x3= 6
shop b: 5 for 1.10, 5 more for .55, so 1.65/10
1.65×3= 4.95
6-4.95= 1.05
Mrs Loke had 2920 buttons. She packed them into packets of 8 buttons. (a) How many packets of 8 buttons did she pack? (b) If she were to pack all her buttons into packets of 5 buttons, how many fewer packets of 8 buttons than 5 buttons would she get?