Answer:
Accept the null hypothesis
Step-by-step explanation:
Two years ago, the average number of customers in your all of your company's stores per week was 3173 customers. Assume that you are doing a current study to test the claim that the mean weekly number of customers is different than it was two years ago.
The null hypothesis is:
[tex]H_{0} = 3173[/tex]
The alternate hypothesis is:
[tex]H_{A} \neq 3173[/tex]
The test statistic is:
[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.
Due to our test, we have that [tex]\mu = 3173[/tex]
Assume a population standard deviation of 1,550 customers.
This means that [tex]\sigma = 1550[/tex]
Suppose you look at a random sample of 73 stores and find an average weekly customer total of 3,391.
This means that [tex]n = 73, X = 3391[/tex]
Test statistic:
[tex]z = \frac{X - \mu}{\frac{\sigma}{\sqrt{n}}}[/tex]
[tex]z = \frac{3391 - 3173}{\frac{1550}{\sqrt{73}}}[/tex]
[tex]z = 1.24[/tex]
p-value:
Since we are testing if the mean is different of a value, and the z-score is positive, the pvalue is 2 multiplied by 1 subtracted by the pvalue of z = 1.24.
z = 1.24 has a pvalue of 0.9251
2*(1 - 0.9251) = 2*0.0749 = 0.1498
0.1498 > 0.1, which means that we accept the null hypothesis, that is, that the mean weekly number of customers is equal to what it was two years ago at the 0.1 level of significance.
Use the graph to answer the question.
Which equation describes the circle?
O (x-4)2 + (y + 1)2 = = 25
O (x – 4)2 + (y + 1)2 = 5
O (x + 4)2 + (y- – 1)2 = 25
O (x + 4)2 + (y – 1)2 = 5
Answer:
Its A.
Step-by-step explanation:
Edge 2021
This question is based on the equation of circle. Therefore, the equation of circle is (x - 4)² + (y + 7)² = 81 describes a circle with center (4, -7) and radius 9.
What is circle?A circle is a closed two-dimensional figure in which the set of all the points in the plane is equidistant from a given point called “centre”. The perimeter around the circle is known as the circumference.
here, we have,
Given:
A circle with center (4, -7) and radius 9.
We need to determined the equation describes a circle with center (4, -7) and radius 9.
According to the question,
As we know that, the equation of a circle in standard form is
⇒ (x - h)² + (y - k)² = r²
Where (h, k) are the coordinates of the center and r is the radius.
Here, it is given that, (h, k) = (4, - 7) and r = 9.
Therefore, by putting the given values.
We get,
⇒ (x - 4)² + (y - (- 7))² = 9², that is
⇒ (x - 4)² + (y + 7)² = 81 ← equation of circle
Therefore, the equation of circle is (x - 4)² + (y + 7)² = 81 describes a circle with center (4, -7) and radius 9.
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Triangle ABC is shown below with its given side length measurements.
Which lists the angles of the triangle in order from largest angle to smallest
angle? *
The point (7, 4) lies on a circle centered at the origin. Write the equation of the circle and state the radius.
Given:
The point (7, 4) lies on a circle centered at the origin.
To find:
The equation of the circle and the radius of the circle.
Solution:
Distance formula:
[tex]d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]
The point (7, 4) lies on a circle centered at the origin. So, the distance between the points (7,4) and (0,0) is equal to the radius of the circle.
[tex]r=\sqrt{(0-7)^2+(0-4)^2}[/tex]
[tex]r=\sqrt{(-7)^2+(-4)^2}[/tex]
[tex]r=\sqrt{49+16}[/tex]
[tex]r=\sqrt{65}[/tex]
The standard form of the circle is
[tex](x-h)^2+(y-k)^2=r^2[/tex] ...(i)
Where, (h,k) is the center of the circle and r is the radius of the circle.
Putting h=0, k=0 and [tex]r=\sqrt{65}[/tex] in (ii), we get
[tex](x-0)^2+(y-0)^2=(\sqrt{65})^2[/tex]
[tex]x^2+y^2=65[/tex]
Therefore, the equation of the circle is [tex]x^2+y^2=65[/tex] and its radius is [tex]r=\sqrt{65}[/tex].
1. Factor 3h2 - 11h - 42 completely.
Answer:
3h² - 11h - 42 = (3x+7)(x−6)
Step-by-step explanation:
We need to find factors of 3h² - 11h - 42. It is a quadratic equation.
We search two numbers such that their product is 42 and sum is 11. So,
3h² - 11h - 42 = 3h² -18x +7x -42
= (3x+7)(x−6)
So, the required factors are (3x+7)(x−6).
14 x ^3 y ^5 z ^2 - 98 x^2 yz ^2 + 28 x^2 y^3. Show your work
ill mark brainlist plss help
Answer:
256 ft
Step-by-step explanation:
51+51= 102
77+77= 154
154+102=256
Answer:
P=2(l+w)=2·(51+77)=256ft
Step-by-step explanation:
The answer will be 256ft
Find the Selling Price
CP = ₹600 Overhead charges = ₹45 Loss = ₹54
Someone Please Help Me With This
In a sole proprietorship,______________ receive all of the profits. A banks B. owners C. partners D. investors Please select the best answer from the choices provided O:A O:B О:С O:D
Answer:
B. owners
Step-by-step explanation:
Sole proprietorship can be defined as a type of business that is typically owned by an individual or one person and as such is solely responsible for its debts.
In a sole proprietorship, owners receive all of the profits because they own the business and do not share with any partner.
Basically, a sole proprietorship business is a type of business that is owned by a single person and as such their profits are taxed once as personal income tax.
Answer:
B
Step-by-step explanation:
I got it right on edge
? Any one know this one
Answer:
(3, infinity)
Step-by-step explanation:
range is talking about the y axis and every number the graph touches on the y axis. the first number is the minimum number and the second number is the max number. this graph's lowest point is 3, so the answer is (3, something). the max is never/infinity and that's how you get (3, infinity).
Are the 1.5% and 1.5 the same?
EXPLAIN why or why not.
(PLS HELP ME OUT I AM BEGGING U THIS IS DUE TOMORROW)
Answer:
1.5 % is same as 1.50
explanation:
because 1.5 means that the equipment used to measure the number could not measure .It's equal, 1.50 is the same thing just with an added zero.
3(6) + 4(2) - 5
What is the answer
Answer:
21
Step-by-step explanation:
3(6) +4(2) - 5
18 + 8 - 5
26 - 5
= 21
which value is greater for the people who go to the gym in the daytime than for the people who go in the evening?
Answer:
It's maximum age I took the test and that's what I put it says it was right.
Step-by-step explanation:
In ΔRST, the measure of ∠T=90°, the measure of ∠R=6°, and RS = 3.6 feet. Find the length of ST to the nearest tenth of a foot.
Answer:
0.4
Step-by-step explanation:
Answer:
45.1
Step-by-step explanation:
A cube with side of 6cm or a rectangular box of 7cm by 6cm by 4cm . find the volume
Answer:
Volume of cube = 216cm^3
Volume of box = 168cm^3
Step-by-step explanation:
Cube:
6 x 6 = 36
36 x 6 = 216
Box:
7 x 6 = 42
42 x 4 = 168
Answer:
216 cm^3, 168 cm^3
Step-by-step explanation:
Cube
Volume of a cube is the side * side * side.
Side = 6 || 6 * 6 * 6 = 216 cm^3
Rectangular Box
Volume of box is product of height, depth, and width.
Sizes are, 7, 6, 4 || 7 * 6 * 4 = 168 cm^3
Determine the average rate of change in braking distance, in ft/mph, between one can traveling at 50 mph and one
traveling at 70 mph. Explain what this rate of change means as it relates to braking distance.
Answer:
306.25-156.25/70-50 =150/20=7.5 ft/mph
Step-by-step explanation:
For every 1 mph over 50 mph a car is traveling, its braking distance increases by 7.5 ft
The required braking distance between the one that can travel at 50 mph and one traveling at 70 mph is 7.5 ft/mph.
What is the rate of change?Rate of change is defined as the change in value with rest to the time is called rate of change.
Here,
Distance traveled when applying brake when speed is 70 mph is 306.25,
Distance traveled when applying brake when speed is 50 mph is 156.25 ft
The rate of change of braking is given as,
= 306.25-156.25/70-50
= 150/20
=7.5 ft/mph
Thus, the required braking distance between the one that can travel at 50 mph and one traveling at 70 mph is 7.5 ft/mph.
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Solve these multi step equations. Show your work. Justify each of your steps. 3x+4+6x=12-41+6x
Answer:
x=11
Step-by-step explanation:
Combine like terms:
3x +4 +6x =12- 41+ 6x
9x +4 =12 -41 + 6x
Subtract the numbers:
9x+ 4= 12- 41+ 6x
9x + 4= -29 +6x
Rearrange terms:
9x+4=-29+6x
9x+4=6x-29
x=11
1. Savannah has 5 dogs and she feeds each of them 6 oz of dog food every day. How many
pounds of dog food do they eat each day?
Answer:
0.375 lb
Step-by-step explanation:
For this one all you need to do is convert 6 oz to pounds and to do this
For example to convert an ounce measurement to a pound measurement, use a simple formula. Since one ounce is equal to 1/16 of a pound, the formula for the conversion is:
pounds = ounces ÷ 16
1. Take measurement
2. Divided ounces by 5
3. Round the result to desired decimal places.
And don't just put this answer because I am not very sure.
1.875 pounds of dog food can be eaten by 5 dogs per day.
Pound and ounce based problem:What information do we have?
Number of dogs = 5
Each dog eats per day = 6 oz
Total dog food eaten per day = Number of dogs × Each dog eats per day
Total dog food eaten per day = 5 × 6
Total dog food eaten per day = 30 oz
1 pound = 16 oz
So,
Total dog food eaten per day = 30oz / 16oz
Total dog food eaten per day = 1.875 pound
Find out more information about 'Pound'.
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Which function has a greater rate of change?
Answer:y-2x+5
Step-by-step explanation: I think
An animal park had lions tigers and zebras.20% of the animals are lions and half the animals are zebras. If there are 120 animals at the park how many lions are there
Answer:
Divide 120 by 100 (Because 120 is 100% of the animals). You get 1.2. Multiply 20% by 1.2 and get 24.
Step-by-step explanation:
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Stan says that the least common multiple of 6 and 8
A box contains 30 marbles, of which 8 are
black, 10 are green, and 12 are yellow. If two
marbles are drawn at random, what is the
probability that both the marbles will NOT be
green?
Answer:
4/9
Step-by-step explanation:
'ng' = not green
P(ng,ng) = 2/3 x 2/3 = 4/9
Evaluate -5x-6y when x=-4 y=4
Answer:
-4
Step-by-step explanation:
Which city did Miss Hill move to with her new husband?
Group of answer choices
Georgia
New York
Chicago
Orlando
PLEASE HELP FAST(solve the pre-algebra question)
Answer:
Flag = 46
Shamrock = 46
Hat = 27
Accordion = 198
Step-by-step explanation:
To keep things simple, I'll denote the flag with f, the shamrock with s, the hat with h and the accordion with a.
The second equation tells us that f/s is 1. When you divide something by something and get 1, that means they're equal (eg, 2÷2=1, 3÷3=1 etc). That means f=s.
The second equation tells us f+s+s=138, but since f=s, this basically means 3f=138. Dividing both sides by three, we find out f=46 and by extension, s=46.
The third equation tells us s+h+h=100. We know s so we can write this as 46+2h=100. Take 46 form both sides to get 2h=54. Divide both sides by 2, we find out h=27.
The fourth equation tells us a=4f+14. Sub in our value for f and this is a=(4x46)+14. Solve this to get a=184+14, a=198.
Write a polynomial to represent the larger rectangle and the smaller rectangle.
Answer:
See answers below.
Step-by-step explanation:
Large Rectangle: length x width = (x + 3)(x - 4) =
x² - 4x + 3x - 12
x² - x - 12
Smaller Rectangle: length x width = (x)(3) = 3x
Shaded Region: shaded area = lg. rectangle minus small rectangle
A = (x² - x - 12) - 3x
A = x² - 4x - 12
Solve for x, if shaded reion's area is 48 square units:
48 = x² - 4x - 12
x² - 4x - 12 -48 = 0
x² - 4x - 60 = 0
(x - 10)(x + 6) = 0
x - 10 = 0 or x + 6 = 0
x = 10 or x = -6
But x represents a length, so x cannot be -6.
x = 10
You drank 50 L of water on Tuesday but only 30 L of water on Wednesday. What is the percent of change
Answer:
40% decrease
50=100
30/50=x/100
30=60% of 50
40% decrease of 50 is 30
Step-by-step explanation:
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a.A restaurant bill is $21. You leave a 15% tip. How much do you pay including the tip? b. Which of the following represents the amount a customer pays including the tip of 15% if the bill was dollars? Select all that apply.
Answer:
$ 24.15
Step-by-step explanation:
100%= $21
(100+15)% =115% ×$21
(115/100)*21= 24.15$
HELP...ASAP...GIVEING 50 POINTS FOR THIS HELP PLLLLLLZZZZZZZZz
Answer:
HI JORDEN!!!
Step-by-step explanation:
I need help how do I solve this?
The answer is just -infinite
An equation is given.
Solve the equation for r.