The number of square feet per house is normally distributed with a population standard deviation of 154 square feet and an unknown population mean. If a random sample of 16 houses is taken and results in a sample mean of 1550 square feet, find a 80% confidence interval for the population mean. Round your answer to TWO decimal places.
Answer: (1500.66,1599.34)
Step-by-step explanation:
Confidence interval for population mean:
[tex]\overline{x}\pm z^*\dfrac{\sigma}{\sqrt{n}}[/tex]
,where [tex]\overline{x}[/tex] = Sample mean , n= Sample size, z* = critical two tailed z-value , [tex]\sigma[/tex] = population standard deviation.
As per given , we have
n= 16
[tex]\sigma = 154[/tex] square feet
[tex]\overline{x}= 1550[/tex] square feet
[tex]\alpha= 1-0.80 = 0.20[/tex]
Critical z-value = [tex]z_{\alpha/2}=z_{0.2/2}=z_{0.1}=1.2815[/tex]
Confidence interval for population mean:
[tex]1550\pm (1.2815)\dfrac{154}{\sqrt{16}}\\\\ = 1550\pm (1.2815)\dfrac{154}{4}\\\\= 1550\pm 49.33775\\\\ =(1550-49.33775,\ 1550+49.33775)\\\\\approx (1500.66,\ 1599.34)[/tex]
Required confidence interval: (1500.66,1599.34)
What is the volume of the rectangular prism?
1/3ft
The volume of the rectangular prism given the information in the question is 10 feet³.
What is the volume of the rectangular prism?
A rectangular prism is a three-dimensional shape. It also known as a cuboid. It has six faces, 12 sides and 6 vertices
Volume = length x width x height
Volume = 1/3 (number of squares that make up the length x number of squares that make up the width x number of squares that make up the height)
1/3 (5 x 2 x 3) = 10 feet^3
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What is (5•3) - 18 and can u explain y
Answer:
-3
Step-by-step explanation:
You would find what the answer to (5•3) is then subtract that answer with 18. So it would be 15-18=-3
Answer:
The answer is -3
Step-by-step explanation:
The answer is -3 because of the order of operations PEMDAS (parenthesis, exponent, multiplication/division, addition/subtraction)
Therefore, you would multiply the two numbers inside the parenthesis first, which would give you 15-18, and from there you can subtract 18 from 15 which would give you -3.
The area of the above polygon
Identify the axis of symmetry of each.
1) y = 2x² + 16x + 35
Answer: x=4
Step-by-step explanation:
10.50h + 15c + 50 Identify a coefficient, a variable, and a constant in this expression.
Answer:
50- Constant
c- Variable
10.50- Coefficient
Step-by-step explanation:
What is the quotient of 1 1/3 ÷ 3/5
Answer:
3/5 ÷ 2/3 = 9/10 = 0.9
Step-by-step explanation:
hope this helps!!!!
-36 is a perfect square?
Answer:
no i think soo
Step-by-step explanation:
I don’t know the answer
Answer:
I think it is B. 30 degrees
Step-by-step explanation:
Because if ZUY is 90 degrees and half of 90 degrees is 45 degrees but TUZ is a little bit less than the middle part of ZUY it has to be less than 45 degrees by a little bit and the only option would be 30 degrees. Hope this helped (:
Total Number of Fish in Tank
10
remaining in Tank
Use the graph shown to determine the TRUE statements.
The x-intercept tells the number of fish in the tank before any are sold.
The graph models an increasing function
The average rate of change for the function is 1
Coordinates (20.80) tell how many fish must be sold to have 80 fish remaining in the tank
Answer:
Look it up. it will help you work it out. hope this helped.
Step-by-step explanation:
14 - (9t - 2) < -t + 30
Answer:
t>−74
Step-by-step explanation:
I hope this help helps
true or false? the dependent variable corresponds to the x-axis
Answer:
true
Step-by-step explanation:
im really not sure. it just sounds true
Answer:
false
Step-by-step explanation:
the x-axis is the indipendent variable
When a number x is divided by 24 the remainder is 23 and when it is divided by 36 the remainder is 35. Find the least number that x can be.
Answer:
7 is the answer. If a number can be divided by 36 then it can also be divided by 12 which is 3*12 therefor the remainder will be 19-12 which is 7. When 19 is divided by 36, the remainder is 19 and so 19 must be a number. When 19 is divided by 12 the remainder is 7.
Step-by-step explanation:
how many solutions does the equation have? 0 = -8q + 8q
Answer:
None really
Step-by-step explanation:
Q=0
5/6 - 1/3
Answers should be in the format 5/2 or 2/5. No decimals or mixed numbers.
Answer:
Answer is 1/2
I clearly didn't understand the question u said it should be 5/2 or 2/5 or in fractional form
7/5 + 4/20
Answers should be in format example: 5/2 or 2/5. No decimals or mixed numbers.
8/5
turn 4/20 into 1/5 then do 7+1/5 and your final answer will be 8/5
Answer: 32/20 or 8/5
Step-by-step explanation: :)
What do all rational numbers have in common?
All rational numbers have the following in common:
1. They can be expressed as a fraction
2. They can be represented on a number line.
3. They can be added, subtracted, multiplied, and divided.
4. They can be written as terminating or repeating decimals.
What do all rational numbers have in common?1. Fractional representation: All rational numbers can be expressed as a fraction, where the numerator is an integer and the denominator is a non-zero integer.
2. Number line representation: All rational numbers can be represented on a number line.
3. Arithmetic operations: All rational numbers can be added, subtracted, multiplied, and divided.
4. Decimal representation: All rational numbers can be written as terminating or repeating decimals.
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The quantities xxx and yyy are proportional.
xxx yyy
999 4.54.54, point, 5
141414 777
303030 151515
Find the constant of proportionality (r)(r)left parenthesis, r, right parenthesis in the equation y=rxy=rxy, equals, r, x.
Answer:
1/2
Step-by-step explanation:
I got this wrong it gave me this step by step equation on khan I hope this helps
1 / 3
What times x gives us y?
2 / 3
If we multiply each x-value by 1 / 2 we get to each corresponding y-value:
y = 1 / 2x
3 / 3
The constant of proportionality (r) in the equation y =rx is 1 / 2
this was the exact same explanation and answer khan academy game me, so it should be right
Answer:
1/2
Step-by-step explanation:
TC AB - 21 centimeters, and BC = 28 centimeters, which does AC equal? B O A. 30 centimeters ов. 33 centimeters ос. 35 centimeters D. 37 centimeters © 2020 Edmentum. All rights reserved.
Answer:
c would have to be your answer
Step-by-step explanation:
ayo who wants to help me out here (the question in the middle btw)
Answer:
z = -3
Step-by-step explanation:
5z+3=-12
-3 -3
5z=-15
/5 /5
z = -3
Hope this helps :)
Which statement is true?
a
b
ОООО
ZCBE and ZDEB are alternate angles.
ZFEG and ZCBE are alternate angles.
ZCBE and ZDEB are same-side interior angles.
ZFEG and ZDEB are same-side interior angles.
с
ZCBE and ZDEB are same-side interior angles.
is the correct answer
Find the slope of a parallel line -10+x-2y=0
Answer: 1/2
Step-by-step explanation:
First convert the equation into slope-intercept form.
-10 + x -2y = 0
+10 +10
x - 2y = 10
-x -x
-2y = 10 - x Divide both sides by -2
y = 1/2x - 5
In this case the slope is 1/2 and the slopes parallel lines are the same but they must have different y intercepts. Meaning that the slope of the other line will be 1/2.
Introduction Sort each number into the correct category
21
Prime
Composite
11
15
16
29
13
Answer:
Prime: 11, 13, 29.
Composite: 21, 15, 16.
Step-by-step explanation:
Which of the following is an example of the associative property of multiplication?
7 x (3+5) = 21 + 35
7 x (3 x 5) = (7 x 3) x 5
7 x (3 x 5) = 7 x (5 x 3)
7 x 1/7 = 1
I need help thank you
Answer: C
Step-by-step explanation:
Please help me! Anyone?
Answer:
118°
Step-by-step explanation:
E=180-145=35
C=180-132=48
D=720-150-100-145-35-48=242
x=360-242=118
Answer:
145-132=13
150-100=50
50±13=63
63-46=100±19=119-10=
A local hamburger shop sold a combined total of 615 hamburgers and cheeseburgers on Sunday. There were 65 more cheeseburgers sold than hamburgers. How many hamburgers were sold on Sunday?
The hamburgers and cheeseburgers sold on Sunday will be 275 and 340, respectively.
Given that:
H + C = 615 ...(1)
C = H + 65 ...(2)
From equations (1) and (2), then we have
H + H + 65 = 615
2H = 550
H = 275
Then the value of cheeseburgers (C) is calculated as,
C = 275 + 65
C = 340
The hamburgers and cheeseburgers sold on Sunday will be 275 and 340, respectively.
More about the solution of the equation link is given below.
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Which are the coordinates of the transformed point?
(6,-3), vertical stretch of 2
(6,6)
(6-6)
(12,-6)
(12, 6)
Answer:
Did you ever get the answer
Step-by-step explanation:
Which statement best describes the function below? fx) = 2x² – 3x+1 O A. It is a one-to-one function. O B. It fails the vertical line test. C. It is a many-to-one function. O D. It is not a function. .
Answer:
f(x)=2x^2-3x+1
the graph of the function is attached with the answer
As we can see that equation is quadratic and its graph is a parabola facing upward.
As we can see it passes the Vertical line test
As it passes the Vertical line test , So it is a function
And two values of x has one value of y
So it is a many to one function.
Step-by-step explanation:
Answer:
It is a many to one function!
Step-by-step explanation:
Just took the quiz and got id correct! Hope this helped! <3
The maximum weight your office building's elevator can carry is 1,500 pounds. You
need to move boxes each weighing 50 pounds from the fifth floor to the third
floor. Let n represent the number of boxes you place in the elevator. If you weigh
140 pounds, what is the correct inequality that can be used to determine the
maximum number of boxes that you can place in the elevator at one time? Assume
only you and the boxes are in the elevator.
Answer:
50n+140=1500
Step-by-step explanation:
