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%
Find the side of a square whose diagonal measures 15 square root of 2
Answer: 15 units .
__________________________________________________
In this case, a square, the two sides of the square (forming a right triangle) are equal), and the "diagonal" forming is the hypotenuse of the right triangle.
In these cases, the measurements of the angles of the right triangle are "45, 45, 90" ; and the measurements of the sides are: "a, a, a√2" ; in which "a√2" is the hypotenuse.
We are given: "15√2" is the hypotenuse" ; and we are given that this is a right triangle of a square with a diagonal length (i.e. "hypotenuse" of "15√2" ; so the measure of the side of the "square" (and other two sides of the triangle formed) is: 15 units. (i.e., 15, 15, 15√2 ).
the thief with the stolen accordion has been traveling on a raft for 2 hour 40 minutes from Village Ivanovo toward Village Sosnovka. Aniskin immediately leaves Sosnovka in a motorboat and travels upstream toward the raft. Aniskin catches the thief 27 km from Sosnovka. Find the speed of the raft if the speed of the motorboat in still water is 12 km/h and the distance from Ivanovo to Sosnovka is 44 km.
Answer:
3 km/hStep-by-step explanation:
Let the speed of raft (current) - rSpeed of motorboat - 12 km/hThe distance between villages - 44 kmLet the time spent by Aniskin - tThe time the thief was in travel = 2 hr 40 min + t = 2 40/60 + t = 3/8 + tThe distance the thief traveled = 44 - 27 = 17 kmWe have following equations:
r(8/3 + t) = 17(12 - r)t = 27Simplify the equations:
r(8/3 + t) = 17 ⇒ rt + 8/3r = 17(12 - r)t = 27 ⇒ 12t - rt = 27Add up the equations and solve for r:
rt + 8/3r + 12t - rt = 448/3r + 12t = 44r = 16.5 - 4.5tSubstitute r into second equation:
(12 - 16.5 + 4.5t)t = 274.5t² - 4.5t = 279t² - 9t - 54 = 0Solving we get
t = 3 hFind r:
r = 16.5 - 4.5*3 = 3 km/hAnswer:
Step-by-step explanation:
whats anothor name
for eq
Ms. Grayson has budgeted $6500 for a computer lab in her school.
Each new computer costs $750, and each new computer table costs
$60. If Ms. Grayson buys 8 new computers, which inequality can be
used to find t, the number of new tables she can buy?
A. 8(750 + 60) s 6500
B. 8(750t) + 60 S 6500
C. 750 + 60t s 6500
D. 8(750) + 60t s 6500
Answer:
c.750+60t s6500
this is the correct one
Daniela painted a photo that was 4/5 afoot by 1 7/8 of afoot. What was the area?
Answer:
[tex]\frac{3}{2}[/tex] square feet
Step-by-step explanation:
The dimensions of the photo is 4/5 by 1 7/8 of a foot.
But,
1 7/8 = [tex]\frac{15}{8}[/tex] feet
So that,
length of the photo = [tex]\frac{15}{8}[/tex] feet
width of the photo = [tex]\frac{4}{5}[/tex] feet
The area of the photo = length x width
= [tex]\frac{15}{8}[/tex] x [tex]\frac{4}{5}[/tex]
= [tex]\frac{60}{40}[/tex]
= [tex]\frac{3}{2}[/tex]
Area of the painted photo is [tex]\frac{3}{2}[/tex] square feet.
what operation do you use to convert from a larger measurement unit to a smaller measurement unit?explain why.
Answer:
Multiplication
Step-by-step explanation:
To convert from a larger unit to a smaller unit, we multiply. This is because the number will become greater since the unit is smaller.
Example:
1 m ⇒ ×100 ⇒ 100 cm
We use division when converting from a smaller unit to a larger unit since the number will become smaller as the unit becomes greater.
Example:
100 cm ⇒ ÷100 ⇒ 1 m
I hope this helps!
Find the 96th term of the arithmetic sequence-30,-32,34
Answer:
a = -30
d = -32 - (-30) = -2
n = 96
So, using A.P. formula-
Tn = a + (n-1) d
T96 = -30 + (96-1) -2
T96 = -30 + (95) -2
T96 = -30 - 190
T96 = -220
plz mark as brainliest
Can someone pease help me with this picture inserted
Answer:
9.56 inchesStep-by-step explanation:
the scale factor is 0.8:20
since the line is 239 miles long, divide by 20
239/20 = 11.95
multiply by 0.8
11.95 x 0.8 = 9.56
Please answer quick and just write explanation quick pls hurry quick for brainlessly ee
Use the formula C = 5 over 9(F - 32) to write 126° F as degrees Celsius, round to the nearest tenth.
Please help me I’m getting timed
Answer:
C
Step-by-step explanation:
or the third down from the top. Count the sides and multiply by how many layers
the question is in the picture!!
9514 1404 393
Answer:
(b) ... because of the AA similarity postulate
Step-by-step explanation:
The problem statement tells you that you are showing ∠F≅∠C. We already know that ∠A≅∠D, because they are both marked as right angles. Thus the given mapping results in two of the three angles being shown congruent, allowing you to conclude ...
ΔABC ~ ΔDEF because of the AA similarity postulate . . . . choice B
A line has a slope of 6 and passes through the point (0,0)
Answer:
y=6x
Step-by-step explanation:
y-y1=m(x-x1)
y-0=6(x-0)
y=6(x)
y=6x
The rover weighs 1,025 kg. and the average car weighs 1,325 kg. What is the difference?
Answer:
There would be a difference of 300 kg.
Step-by-step explanation:
If you do 1,325 minus 1,025, you would get the answer of 300 kg.
Whoopy what a day! 6+6
Answer:
Yes, indeed. 12 :)
Step-by-step explanation:
Answer:
im viry smort soda ansr iz 21
also fluffy milk horse to brighten everyones day (unless you have a fear of cows, then im sorry)
does a/9=25 i dont know
Answer:
225
Step-by-step explanation:
225 ÷ 9 =25
What is 6/11 in decimal form, to the nearest thousandth
Answer:
0.006
Step-by-step explanation:
Answer:
Explanation:
611 or 6÷11=0.545454545....
The hundredth position is two positions to the right of the decimal point. For this problem it is the 4:
0.545454545....
To round to the nearest hundredth you must look at the digit in the position immediately to the right of the digit in the hundredth place, which is the 5 in the thousandth place:
0.545454545....
If the digit to the right is greater than or equal to 5 you add 1 to the digit you are rounding to and make everything to the right 0.
If the digit to the right is less than 5 you add keep the digit you are rounding to the same and make everything to the right 0.
In this problem the digit to the right is a 5 so we add 1 to the digit we are rounding to and make everything to the right 0.
0.545454545....=0.550000000....=0.55
The question about btw if answer correctly I’ll give brainalist + 10 points this is half my grade so please be truthful in your work
Answer:
ur correct it's A. trust me u look up all the definitions to the other than A. they gonna be wrong already looked em all up
Use the information to answer the following questions.
Jocelyn and Kari’s math quiz scores are shown.
Jocelyn: 86, 87, 95, 72, 78, 80
Kari: 88, 78, 93, 81, 75, 92
Activity 1 of 2
Part A: Based on the samples, which student generally has higher quiz scores?
A.
Kari, because the mean and median of her scores is 84.5.
B.
Kari, because the range of her scores is 18.
C.
Jocelyn, because the interquartile range of her scores is 9.
D.
Jocelyn, because she had a maximum score of 95.
Activity 2 of 2
Part B: Suppose both girls got a 90% on their next math quiz. Which student will see a greater increase in her overall math grade?
A.
Jocelyn, because her grade will increase by 1 point.
B.
Kari, because her grade will increase by 0.8 points.
C.
Kari, because her grade will increase to 85.3.
D.
Jocelyn, because her grade will increase to 84.
Answer:
A
Step-by-step explanation:
Part A, A. Kari, because the mean and median of her scores is, 84.5.
Part B, Jocely will see a greater increase overall as her previous average is less.
What are mean, median, and mode?The three main methods for identifying the average value of a set of integers are mean, median, and mode.
Adding the numbers together and dividing the result by the total number of numbers in the list yields the arithmetic mean.
The middle value in a list that is arranged from smallest to greatest is called the median.
The value that appears the most frequently on the list is the mode.
From the given information, The average score of Jocelyn is,
= (86 + 87 + 95 + 72 + 78 + 80)/6.
= 83.
And Similarly, The average score Kari is,
= (88 + 78 + 93 + 81 + 75 + 91)/6.
= 84.5.
Therefore, Kari scores better overall.
If they both get 90% on their next math quiz Jocely will see a greater increase overall as her previous average is less.
learn more about mean here :
https://brainly.com/question/30112112
#SPJ3
hello can someone help me with this please
Answer: 0.01369863 times per gold
Step-by-step explanation:
convert to a decimal by dividing the numberator by the denominator
A quality control engineer Is interested in the mean length of sheet insulation being cut automatically by machine. It is known that the standard deviation in the cutting length that this machine produces is 0.15 feet. A sample of 70 cut sheets yields a mean length of 12.14 feet. This sample will be used to obtain a confidence interval for the mean length cut by machine. Referring to problem statement, the Z value to use in obtaining the 99% confidence interval is approximately .A.1.645B. 1.96C.3.23D.2.58
Answer:
D.2.58
Step-by-step explanation:
We have that to find our [tex]\alpha[/tex] level, that is the subtraction of 1 by the confidence interval divided by 2. So:
[tex]\alpha = \frac{1 - 0.99}{2} = 0.005[/tex]
Now, we have to find z in the Ztable as such z has a pvalue of [tex]1 - \alpha[/tex].
That is z with a pvalue of [tex]1 - 0.005 = 0.995[/tex], so Z = 2.58.
The answer is given by option D.
A rectangular room is 9 feet long and 14 feet wide. The perimeter of the room is
feet.
Answer:
48 ft
Step-by-step explanation:
this is because the perimeter of the room is its sides so first you 9x2=18
then 14x 2= 28 and then 28 + 18 and you get 48 ft
1. Which of the following is the same as 6 ∙ 5 ∙ 4 ∙ 3?
A. P(6,3) B. P(6,4) C. P(6,5) D. P(6,6)
It’s Due in 5mins! HELPPPPP
Solve for x and y in the triangle below
Answer:
y=3.75
x=9.6
Step-by-step explanation:
1 Find the area of the shaded region in the figure below. Show your work or explain your steps below.
16 cm
10 cm
6 cm
12 cm
Answer:
66 cm²Step-by-step explanation:
Shaded region (blue) is the difference of areas of big and small triangles
A = 1/2(16*12 - 10*6) = 66 cm²The answer options are incorrect
Answer:
area of shaded region =
= area of greater( TRAINGLE -smaller TRAINGLE )
=1/2×12×16-1/2×10×6
=6×16-5×6
=96-30
=66cm²
is your answer.
Try to answer asap please
Answer:
it is 10in.
Step-by-step explanation:
y= 2x-3
y=-x+9
solve the system of linear equations by graphing
Answer:
x=4 or -4
y=5
Step-by-step explanation:
2x-3=x+9
=3x=12
=x=12/3
x=4( could also be -4)
y=(4x2)-3
y=5
Use the Distributive Property to
REWRITE 6x(2y - 4x + 1)
Answer:
−24x2+12xy+6x
Step-by-step explanation:
6x(2y−4x+1)
=(6x)(2y+−4x+1)
=(6x)(2y)+(6x)(−4x)+(6x)(1)
=12xy−24x2+6x
Enter the area of the triangle in square meters.Round your answer to the nearest hundredth.
Answer:
6.24
Step-by-step explanation:
To find the area of the triangle, it is base times height divided by 2 after you multiply. Height is 90 degrees from base so remember that.
In this example, do (2.6 x 4.8)/2
Equals 6.24