Answer:
Since the pvalue of 0.0985 > 0.05, we cannot infer that the satisfaction rate is less than the claim with a level of significance of 5%
Step-by-step explanation:
The null hypothesis is:
[tex]H_{0} = 0.9[/tex]
Because tate Farm claims that policyholders have a customer satisfaction rate of greater than 90%.
The alternate hypotesis is:
[tex]H_{1} < 0.9[/tex]
Because of the question: Can we infer that the satisfaction rate is less than the claim with a level of significance of 5%.
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.
State Farm claims that policyholders have a customer satisfaction rate of greater than 90%.
This means that [tex]\mu = 0.9, \sigma = \sqrt{0.9*0.1}[/tex]
To check the accuracy of this claim, a random sample of 60 State Farm policyholders was asked to rate whether they were satisfied with the quality of customer service.
This means that [tex]n = 60[/tex]
Fifteen percent of these policyholders said they were not satisfied with the quality of service.
So 100 - 15 = 85% were satisfied, which means that [tex]p = 0.85[/tex]
Test statistic:
[tex]z = \frac{X - \mu}{\frac{\sigma}{\sqrt{n}}}[/tex]
[tex]z = \frac{0.85 - 0.9}{\frac{\sqrt{0.9*0.1}}{\sqrt{60}}}[/tex]
[tex]z = -1.29[/tex]
[tex]z = -1.29[/tex] has a pvalue of 0.0985.
Since the pvalue of 0.0985 > 0.05, we cannot infer that the satisfaction rate is less than the claim with a level of significance of 5%
Lin went hiking on five different weekends. The table shows the
elevation changes in feet for each of her five hikes. Fill in the
missing numbers
Initial Elevation
Elevation Change Final Elevation
hike
768
1
-96
672
hike
2
82
20
hike
62
3
- 100
hike
354
4
129
hike
-20
-40
-60
5
Explain what each of the numbers-20, -40, and -60 tells you about
hike 5. What does it mean for the numbers to be negative in this
situation?
Answer:
Hike 1 : 768, -96, 672
Hike 2: -62, 82, 20
Hike 3: 62, -100, -38
Hike 4: 354, -225, 129
Hike 5: -20, -40, -60
The -20 is at what surface level Lin began Hike 5 at. From there, they continued to go in this situation lower by - 40, and arrive at the surface region of -60.
Negative numbers in the present circumstance mean under 0. (Underneath surface region)
Mr. Jackson and Ms. Collins 3rd grade classes are going on a field trip to the science museum. There are 20 children in one classroom and 22 students in the other. The students will tour the museum in groups of 7 How many groups will there be 49 47 8 7 6
the answer is 6 because 42 divided by 7 = 6
What is the range of the shoe sizes?
Answer:
The answer will be 9 and the frequency will be 18
A rectangular piece of land is 1/4 mile long and a 1/2 mile wide. What is the area of this piece of land in square miles?
Translate the name into a decimal number.
negative fifty-five and five ten–thousandths
Answer:
-55 5/10000
Step-by-step explanation:
We can break each word down. Negative would be the negative sign (-), fifty-five would be 55, and five ten-thousandths would be 5/10000. If we put them together, we would get -55 5/10000, which is the answer.
Answer it. -10 x -2 =
Answer: 20
Step-by-step explanation: it is 20 because 2 negative numbers multiplied by each other will always be positive
Find the surface area of the square pyramid. A) 80 in2 B) 105 in2 C) 160 in2 D) 210 in2
Answer:
The answer is C) 160 in2
Step-by-step explanation
Easy!
5x5=25
8x5=40x4=160
The surface area of the square pyramid is, A. 80 in².
What is a pyramid?A three-dimensional figure is a pyramid. Its base is a flat polygon. The remaining faces are all triangles and are referred to as lateral faces.
The number of sides on its base is equal to the number of lateral faces. The line segments that two faces intersect to form its edges. The intersection of three or more edges forms a vertex.
The given figure is a pyramid having a square base.
The pyramid also has four triangular faces, each having a base of 5 in and a height of 8 in.
Therefore, the surface area of the pyramid is,
= 4[(1/2)×5×8] square inches.
= 80 in².
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Please HELP I’m being timed!!!
Answer:
C is the answer I think...
what are the solution to the system of equations graphed below?
Answer: the answer is A
Step-by-step explanation:
u need to look where the lines intercept and im doing this in my math class now so my teacher said wherever the lines intercept u need to take the points where they intercept at so for this one it would be (4,8) and the other is (0,-8)
2
Which equation best describes the graph? Please don’t just put anything down for points
8
6
2
-2
2
6
8
-2
1
6
-
A y = 3x + 2
C y = -3x + 2
B
D
ly= 3x + 2
y =
= -x + Ź
Answer:
C
Step-by-step explanation:
An incomplete sentence is given. “The value of 2 x 1014 is times the value of 4 x 106" What number correctly completes the sentence?
Answer:
0.00000002
Step-by-step explanation:
Let the unknown number be x.
Translating the word problem into an algebraic expression, we have;
2 * 10¹⁴ * x = 4 * 10⁶
To find the value of x;
x = 4 * 10⁶/2 * 10¹⁴
x = 2 * 10^{-8}
Therefore, the value of 2 x 10¹⁴ is 0.00000002 times the value of 4 x 10⁶
if I had 24 apples and 2 friends over with me, and they want to split them all what do I do?
Answer:
24/3 =8 with each friend
Step-by-step explanation:
Answer:
you give each one 12 and than eat them
Step-by-step explanation:
6+(1/3×1/3)-3×7 how do you get it???
Answer:
-134/9
Step-by-step explanation:
Help please I will mark brainliest
please help MATHEMATICS
Answer:
area is 26.75 units^2
Step-by-step explanation:
Top Triangle area is (3.5*9)/2=15.75
Square area is 2*2=4
Left bottom triangle is (2*2)/2=2
bottom right triangle is (2*5)/2=5
15.75+4+2+5=26.75
Factorize the following:
49x² - 25
Answer:
(7x+5)(7x-5)
Step-by-step explanation:
We can use the difference of squares equation which states that when a number is multiplied like: (ax+b)(ax-b) then it equals (ax-b). In this equation, since there is no "b" in the typical ax^2+bx+c, we can recognize that the answer is not a square, but a difference of squares.
what is 2 X (6+ 2 + 8) -4
Answer:
The correct answer is 32x - 4
Step-by-step explanation:
1) Simplify 6 + 2 to 8.
[tex]2x(8 + 8) - 4[/tex]
2) Simplify 8 + 8 to 16.
[tex]2x \times 16 - 4[/tex]
3) Simplify 2x × 16 to 32x.
[tex]32x - 4[/tex]
Therefor, the answer is 32x - 4.
Tell whether x and y show direct variation, inverse variation or - y/4 = 2x
9514 1404 393
Answer:
direct variation
Step-by-step explanation:
The given equation can be written in the direct variation form ...
y = kx
y = -8x . . . . rewrite of the given equation (multiply by -4)
This is an example of direct variation.
Hey!
Please only answer if you know the answer, the comment section is right below. Please don't waste my points!
Also, please show all of your work, you are trying to help me better understand the concept, not just give me the answer.
The image is down below. Show work! Thanks!
Answer:
B. 8/17Step-by-step explanation:
cos = adjacent / hypotenuse
cos C = 16/34 = 8/17Correct choice is B
If John has an eye level of 6 feet above the ground and
he is standing 60 feet from a flagpole that is 48 feet tall,
then what is the angle of elevation?
Answer:
Step-by-step explanation:
48fy
help me please thanks
Answer:
325m = c
Step-by-step explanation:
Each meeting room has 325 chairs.
Since we don't know how many meeting rooms there are, the number is replaced with the variable, m.
An equation is a problem with an equals sign so you need to put what it would equal.
Since you don't know how many meeting rooms there are you use the variable, c which represents the total number of chairs.
lisa spent $21 on diapers. if they cost $7 package, how many packages did she buy
Answer:
3 packages
Step-by-step explanation:
first we need to make this into a equation that we can solve!
x = 21/7
if we use our times tables then we know that
7 * 3
= 21
so knowing what we know, lets go back to the question/ equation!
21/7
= 3
( if you wanted, that could also be a way to double check you answer :)
hope this helped you and if you have any more questions then please ask me! :)
i will give a crown if you are the first one to answer and if you get it right and if you just get it right then i will i give you a full star rating and a thanks
Answer:
20 + 25x
Step-by-step explanation:
Find the area of the shade region in the shown below.
Step-by-step explanation:
rectangle
= 15.3 × (8.2 - 5.7 )
= 15.3 × 2.5
= 38.25
triangle
= 1/2 × (15.3 - 5.1+6.7) × 5.7
= 1/2 × 3.5 × 5.7
= 1/2 × 19.95
= 9, 97
total = 38.25+9.97 = 48.22 ft
4x10^3 times what number is equal to 16x10^5
Answer:
4 × 10²
Step-by-step explanation:
16 x 10^5 ÷ 4 x 10³ = 4 × 10²
4 * 10² is the number when multiplied to 4 * 10³ gives 16 * 10⁵
What is division exponent theorem ?To divide exponents (or powers) with the same base, subtract the exponents.
Division is the opposite of multiplication, so it makes sense that because you add exponents when multiplying numbers with the same base, you subtract the exponents when dividing numbers with the same base.
The given expression is
4 * 10³ multplies with ____ = 16 * 10⁵
We have to solve this ,
Let the number be x
4 * 10³ multplies with __x__ = 16 * 10⁵
x = (16 * 10⁵ )/(4 * 10³)
x= ( 4² * 10⁵ )/(4 * 10³)
Therefore the numerator and denominator has the same base so
[tex]\rm 4^{2-1} \times 10^{5-3}\\\\\\4^{1} \times 10^{2}\\\\\\4\times 10^{2}[/tex]is the number that when multiplied to 4 * 10³ gives 16 * 10⁵
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Sasha saved $28.34 in November and $39.57 in December. By the end of
January, she wants to have saved $100. How much money does she need
to save in the month of January? Make sure to include your work, number
sentences, and your answer with words.
Answer:
$32.09
Step-by-step explanation:
It's $32.09 because, 39.57-28.34=67.91. And 100-67.91= 32.09. Goodluck!
50 POINTS QUICK Mary is three times as old as her son . In 12 years Mary will be twice as old as her son. How old is each of them now?
Answer: Mary is 36 and her son is 12; in 12 years her son will be 24 and she will be 48
Step-by-step explanation:
Answer:
Mary's age = 36
Son's age = 12
Step-by-step explanation:
Let x be age of Mary and y be age of her son.
According to question,
x = 3y...........(1)
And,
x + 12 = 2(y + 12)
x + 12 = 2y + 24
Replacing value of x from (1),
3y + 12 = 2y + 24
3y - 2y = 24 - 12
y = 12
And x = 3 x 12 = 36
ILL GIVE YOU BRAINLIEST PLEASE ANSWER
Answer:
376.9 ft²
Step-by-step explanation:
There you go the right answer
Which expression is equivalent to -3z +17 - (-152) - (-4)?
12:z+ 13
-18z: + 13
18z: +21
12z: +21
Answer: -3z+173
Step-by-step explanation:
[tex]-3z+17-(-152)-(-4)\\\\-3z+17+152+4\\\\\boxed{-3z+173}[/tex]
Can someone help me on this one
Answer:
same as last because it is a circle
Step-by-step explanation:
Answer: diameter = 16 area = 201.06
Step-by-step explanation: