Answer:
1
The correct option is b
2
The correct option is h
Step-by-step explanation:
From the question we are told that
The sample size is n = 15
The difference in population proportion is [tex]d = 6[/tex]
Generally the sample mean of the input temperature is
[tex]\= x_1 = \frac{\sum x_i }{n}[/tex]
=> [tex]\= x_1 = \frac{57.6 + 68.9 + \cdots +60.4 }{15}[/tex]
=> [tex]\= x_1 = 62.57 [/tex]
Generally the sample mean of the output temperature is
[tex]\= x_2 = \frac{\sum x_i }{n}[/tex]
=> [tex]\= x_2 = \frac{65.1 + 74.4 + \cdots +67.3 }{15}[/tex]
=> [tex]\= x_2 = 55.97 [/tex]
Generally the difference of the sample mean of the input temperature and that of the output temperature is
[tex]\= d = \= x_1 - \= x_2[/tex]
=> [tex]\= d = 62.57 -55.97[/tex]
=> [tex]\= d = 6.6[/tex]
Generally the standard deviation is mathematically represented as
[tex]s_d = \sqrt{\frac{\sum(d_1 - \= d )^2}{n} }[/tex]
=> [tex]s_d = \sqrt{\frac{([57.6- 65.1]- 6.6)^2+ ([68.9 - 74.4]- 6.6)^2 + \cdots + ([60.4 - 67.3]- 6.6)^2 }{15} }[/tex]
=> [tex]s_d = 1.732 [/tex
Generally the test statistics is mathematically represented as
[tex]t = \frac{ d - \= d }{ \frac{s_d}{\sqrt{n} } }[/tex]
=> [tex]t = \frac{ 6-6.6 }{ \frac{1.732}{\sqrt{15} } }[/tex]
=> [tex]t = 1.3417[/tex]
Generally the degree of freedom is mathematically represented as
[tex]df = n - 1[/tex]
=> [tex]df = 15 - 1[/tex]
=> [tex]df = 14[/tex]
Generally the probability of t obtained from the t - distribution table at a degree of freedom of [tex]df = 14[/tex] is
[tex]P(t >1.3417 ) = 0.10052569[/tex]
Generally the p-value is mathematically represented as
[tex]p-value = 2 * P(t > 1.3417)[/tex]
=> [tex]p-value = 2 * 0.10052569[/tex]
=> [tex]p-value = 0.201 [/tex]
From the values obtained we see that [tex]p-value > \alpha[/tex] hence
The decision rule is
Fail to reject the null hypothesis
The conclusion is
The cooling system changes the temperature of the water by 6 degrees.
Solve for x 10x+1=8x+25
Answer:
x=12
Step-by-step explanation:
(10(12)=8(12)+25)=(120+1=96+25)=(121=121)
2.5 puzzle time Which month has 28 days
Answer:
February has 28 days on every year except a leap year, but all months have at least 28 days.
Step-by-step explanation:
Answer:
February is the answer
Step-by-step explanation: hope this helps.
$20,500 at 7% for 3 years,
Answer:
If it is simple interest then it is $24805
If it is a compound interest then it is $25113.38
Step-by-step explanation:
Given: A = {(2, 3), (5, 1), (-3, -2), (0, 3)}
What is the domain of A?
{(0, -8), (5,3), (-4,3), (9, 2)}
Does the following relation represent a function?
A.Yes
B.No
Answer:
Yes
Step-by-step explanation:
If you look at all of the x values: 0,5,-4,9
You can see that none of them repeat. This makes it a function.
which one is the least 7.38 7.22 7 1/5 7 3/8
Answer:
1/5
Step-by-step explanation:
Answer:
1/5
Step-by-step explanation:
1/5 is the lowest because its wayless lower than the rest. fractions are greater than decimals
The Stanford-Binet Intelligence Scale is an intelligence test, which, like many other IQ tests, is standardized in order to have a normal distribution with a mean of 100 and a standard deviation of 15 points.
As an early intervention effort, a school psychologist wants to estimate the average score on the Stanford-Binet Intelligence Scale for all students with a specific type of learning disorder using a simple random sample of 36 students with the disorder.
Determine the margin of error,
, of a 90% confidence interval for the mean IQ score of all students with the disorder. Assume that the standard deviation IQ score among the population of all students with the disorder is the same as the standard deviation of IQ score for the general population, =15
points.
Give your answer precise to at least two decimal places.
Answer:
4.11
Step-by-step explanation:
Margin of error equals critical value times standard error.
MoE = CV × SE
For 90% confidence and n > 30, the critical value is z = 1.645.
The standard error is SE = σ/√n = 15/√36 = 2.5.
Therefore, the margin of error is:
MoE = (1.645) (2.5)
MoE = 4.11
The margin of error of a 90% confidence interval for the mean IQ score of all students with the disorder is 4.1125 and this can be determined by using the formula of margin of error.
Given :
Standardized in order to have a normal distribution with a mean of 100 and a standard deviation of 15 points.A school psychologist wants to estimate the average score on the Stanford-Binet Intelligence Scale for all students with a specific type of learning disorder using a simple random sample of 36 students with the disorder.90% confidence interval.According to the given data, the confidence is 90% and n > 30, so the critical value is z = 1.645.
Now, to determine the standard error using the below formula:
[tex]\rm SE = \dfrac{\sigma}{\sqrt{n} }[/tex]
[tex]\rm SE = \dfrac{15}{\sqrt{36} }=\dfrac{15}{6}[/tex]
SE = 2.5
Now, the formula of margin of error is given by:
[tex]\rm MOE = z\times SE[/tex]
MOE = (1.645) [tex]\times[/tex] (2.5)
MOE = 4.1125
So, the margin of error is 4.1125.
For more information, refer to the link given below:
https://brainly.com/question/22771970
What is an equation of the line that passes through the points (0, -2) and (6,6)
Answer:
y= 4/3x -2 or y=1[tex]\frac{1}{3}[/tex] -2
Step-by-step explanation:
Titus took 30 minutes to walk 2 miles at a constant rate. Let d represent the distance Titus walks in miles after t minutes. What are two different constants of proportionality for the relationship between distance, in miles, and time, in minutes?
Answer:
15 and 1/15
Step-by-step explanation:
Given
Time (t) = 30 minutes
distance (d) = 2 miles
To determine the first constant of proportionality
Let time be directly proportional to distance.
t = kd
Where k is the constant of proportionality
Make k the subject
k = t/d
Substitute values for t and d
k = 30/2
k = 15
To determine the second,
Let distance be directly proportional to time.
d = kt
Make k the subject
k = d/t
Substitute values for d and t
k = 2/30
k = 1/15
Hence, the constant of proportionality are
15 and 1/15
Select two fractions equivalent to 21/28
[] 42/56
[] 3/4
[] 3/9
[] 3/7
At 2 P.M., the total snowfall is 23 inches. At 7 P.M., the total snowfall is 45 inches. What is the mean hourly snowfall? Write your answer in simplest form as a fraction or mixed number.
what is the sum of -8+6
Answer:
-2
Step-by-step explanation:
-8 + 6 = 6 - 8 = -2
it means you are owing 8 coins and you pay 6 coins . you will then be owing 2 coins. which will be written as -2
In triangle QRS the measure of right angle S is SQ=90 degrees Sq=47 feet and Rs=70 feet. Find the measure of angle R to the nearest tenth of a degree
Answer:
x=33.9°
Step-by-step explanation:
Trigonometric Ratios
In a right triangle, i.e. the triangles that have an internal angle of 90°, the so-called trigonometric ratios are valid.
There are six trigonometric ratios that can be used in right triangles, depending on the data available for each problem.
The current question gives us two sides in a right triangle and requires us to calculate the angle x.
The angle x 'looks' at the sides of the triangle in this way: RS=70 is the adjacent leg, SQ=47 is the opposite leg, and RQ is the hypotenuse.
We should use the trigonometric ratio that relates both the adjacent and the opposite led. There are two possibilities: The tangent and the cotangent. We'll use the tangent for no particular reason.
The tangent of an angle is defined as:
[tex]\displaystyle \tan\x=\frac{\text{opposite leg}}{\text{adjacent leg}}\\[/tex]
Use the given values:
[tex]\displaystyle \tan x=\frac{47}{70}=0.6714[/tex]
Using a calculator (in degree mode), we calculate the angle:
[tex]x=\tan^{-1}(0.6714)=33.9^\circ[/tex]
x=33.9°
0.01 is 1/10 of what? Pls help
Answer:
A thousand
Step-by-step explanation:
If correct please give brainliest <3
Consider the relationship between the words pine and tree.
Which answer choice contains a pair of words with the same relationship?
book: title
hook: instrument
badger: animal
head: scarf
Answer:
A Book:Title
Step-by-step explanation:
Answer:
Badger: animal
Step-by-step explanation:
i took the test and its right
Solve for w.
5W + 9 = 22 + 3w
Ow=
=-=2
글
Ow=
= -22
W = -2
W=-72
Answer:
Your answer is : A) w = -7/2z
Step-by-step explanation:
Hope this helped : )
Option A is correct, the value of w is -7/2z in the equation 5w+9z=2z+3w.
What is Equation?Two or more expressions with an Equal sign is called as Equation.
The given equation is 5w+9z=2z+3w
In the given equation w and z are the variables.
As per the question we need to solve for w which means we have to find the value of w
Take the like terms on one side by adding -3w-9z on both sides
5w+9z-3w-9z=2z+3w-3w-9z
2w=-7z
Now Divide both sides by two
w=-7/2z
Hence, Option A is correct, the value of w is -7/2z in the equation 5w+9z=2z+3w.
To learn more on Equation:
https://brainly.com/question/10413253
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Sally is making lemonade. The ratio of cups of water to teaspoons of lemonade mix is 2 to 5. If Sally wants to make a larger batch, how many cups of water does she need is she used 25 teaspoons of lemonade mix?
Answer:56
Step-by-step explanation: jggjoohjmnj
If x-1/2y=7
Then 4x-2y=?
Answer: RTGVTFGVTTGSGT
Step-by-step explanation:
sin theta= 0.86
sin theta= -0.05
cos theta = 0
0= -2-2tan theta
-3 + 1/4 tan theta = -11/4
4-8cos theta= 0
4= 3tan^2 theta + 3
4sin^2 theta-5 = -4
root 2 tan theta + 2 tan theta = -2 tan theta cos theta + 2 tan theta
3cos theta- 2 cos^2 theta =1
2 root 3 sin^2 - sin^2 theta = 3 sin theta - sin^2 theta
ILL GIVE BRAINLIEST
Answer:
0.24
Step-by-step explanation:
Please help me I have no idea what the answer is
Answer:
hi
Step-by-step explanation:
angle 1 and angle 3 are ??? angles will mark brainiest
Answer:
supplementaryStep-by-step explanation:
angles 1 and 3 = supplementary angles and equal to 180
James enjoys spending money at the hardware store. He bought a wrench for $9.14, a nail gun for $54.48, and a pound of nails for $6.98. How much change did James get if he paid with a hundred-dollar bill? *
Answer:
$29.40
Step-by-step explanation:
29.40 dollars as 100 - the sum of the cost = 29.4
hello please help will give brainliest!
Answer:
B
Step-by-step explanation:
The chart says Jana swam 200 miles in 120 s, and Micah swam 200 meters in 104 s.
Answer:
B! It's B!
Step-by-step explanation:
With A, there is a difference of 75 meters.
With C, there is a difference of 25 seconds.
With D, there is a difference of 9 seconds.
But with B, they both show they are correct!
Each state imposes its own excise tax on gasoline. Suppose, for example, that the state of Massachusetts imposes a state gasoline tax of $0.26 per gallon. Suppose further that an average of 1,022,000 gallons of gasoline per day were sold in Massachusetts in 2010.
Complete question :
Each state imposes its own excise tax on gasoline. Suppose, for example, that the state of Massachusetts imposes a state gasoline tax of $0.26 per gallon. Suppose further that an average of 1,022,000 gallons of gasoline per day were sold in Massachusetts in 2010. The average revenue from gasoline tax in 2010 is approximately?
Answer:
$265,720
Step-by-step explanation:
Given that:
State gasoline tax = $0.26 per gallon
Average number of gasoline sold per day = 1,022,000 gallons
. From the availabke information given :
Revenue generated = gasoline tax per gallon multiplied by the average number of gallons sold
= $0.26 * 1,022,000
= $265,720
The average revenue from gasoline tax in 2010 is $265,720.
Calculation of the average revenue:Since the state of Massachusetts imposes a state gasoline tax of $0.26 per gallon. Suppose further that an average of 1,022,000 gallons of gasoline per day
So, here the average revenue should be
= 0.26 of 1,022,000
= $265,720
hence, The average revenue from gasoline tax in 2010 is $265,720.
This is an incomplete question. Please find the complete details below.
Each state imposes its own excise tax on gasoline. Suppose, for example, that the state of Massachusetts imposes a state gasoline tax of $0.26 per gallon. Suppose further that an average of 1,022,000 gallons of gasoline per day were sold in Massachusetts in 2010. The average revenue from gasoline tax in 2010 is approximately?
Learn more about revenue here: https://brainly.com/question/16834673
what is 150 divided by 12
Answer:
75
Step-by-step explanation:
150/2=75
Answer:
It is 12.5!
Step-by-step explanation:
If you use a calculator and type in 150 / 12 (/ = divide)
I hope this helped you a lot! :)
Your ship accidentally left an alien stranded at your starting location.
How does the slope of this line compare with the slope of the line from the origin to the point (1, 4)?
They are the same.
They are opposites of each other.
They are reciprocals of each other.
The second line has no slope.
Answer:
they are the same
Step-by-step explanation:
Answer:
They are the same got it right on edg
Step-by-step explanation:
1. Jen went scuba diving. She makes the first stop on her descent at 45 meters below the
surface of the water. From that point she dives down further, stopping every 10 meters. If
she makes 3 additional stops, at what depth will she be?
HOW CAN WE SOLVE THIS 5-2+17=7 PLEASE HELP IAM CONFUSED
5X+17=7
Answer:
x = -2Step-by-step explanation:
5X + 17 = 7
subtract 17 each side
5x + 17 - 17 = 7 - 17
divide 5 both sides
5x = -10
simplify
5x/5 = -10/5
x = -2
Triangle ABC was transformed to create triangle A'B'C. Which rule best describes this transformation?
ABC was transformed to create A'B'C' thru Translation
Answer:
i think its (x, y) --> (-x, y)
the average number of potholes per 10 miles of paved us roads is 130