a 95% confidence interval is found to be (24, 30). The sample standard deviation is 7.5, and the sample size is 25. If you wanted a smaller interval what could you do?
A. increase the confidence level to 99.7%.
B. increase the sample size to 36.
C. decrease the sample size to 20.
D. None of these.
Answer:B. Increase the sample size to 36
Step-by-step explanation:
First of all, the size of the sample must be greater than 30. Then the correct option is B.
What is a normal distribution?It is also called the Gaussian Distribution. It is the most important continuous probability distribution. The curve looks like a bell, so it is also called a bell curve.
A 95% confidence interval is found to be (24, 30).
The sample standard deviation is 7.5, and the sample size is 25.
First of all, the size of the sample must be greater than 30. Then we have to increase the sample size up to 36.
More about the normal distribution link is given below.
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Cara has two pieces of ribbon, one 15 inches long and the other 20 inches long. To decorate an album, she wants to cut them up to produce many pieces of ribbon that are all of the same length, with no ribbon left over. What is the greatest length, in inches, that she can make them?
Answer:
5 inches
Step-by-step explanation:
Given that :
There are two pieces of ribbon with length:
15 inches and 20 inches
To cut ribbon into equal sizes with no ribbons left ; the greatest length in inches of the ribbon would be :
Calculate the greatest common factor of both lengths : 15 inches and 20 inches
____15___20
_5__ 3___4
OR
Find the factors of 15 and 20 and pick the greatest common to both
15 : 1, 3, 5, 15
20 : 1, 2, 4, 5, 10, 20
Greatest factor common to both = 5
Hence the greatest length she can cut the ribbons into without any leftover is 5 inches
Which expression has a value of 90?
Write a paragraph, flowchart, or 2-column proof for the following conjecture:
Given: angle 1 = angle 4
Prove: angle 3 = angle 2
Answer:
How I would write my paragraph:
If angle 1 is congruent to angle 4, angle 1 must also be congruent to angle 3 by the transitive property. This is because is angle 3 and angle 4 are vertical angles, and they must be congruent. If angle 1 is congruent to angle 3, then the two lines in the middle must also be parallel due to the converse of the corresponding angles theorem. Because the two lines in the middle are parallel, angle 3 must be congruent to angle 2 by the alternate interior angles theorem.
Step-by-step explanation: your welcome
(b^2+5) (-b^2+7) I need help asap pleas and thank you if you do
Answer:
42
Step-by-step explanation:
b to the second power thats 1 plus 1 plus 5 times -1to the second power plus seven times 7 and 6 get you the answee 42
what is the answer plz help.
Answer:
0.2
Step-by-step explanation:
C.O.P-the constant value of the ratio of two proportional quantities x and y, typically the equation is Y=KX.
So to find that you would divide y by x.
In this case the dot is between 0 and 2 on y so it is 1 and between 4 and 6 on x so it is 5.
Then you would divide 1/5 and get 0.2 or you could look at the end of the graph and notice that the last point is at (10,2) and divide 2/10 and get the same thing.
HOPE THIS HELPS!!!
Simplify
9/17 - 8/17
A 9/17. B 1. C 0. D 17/34
i need help with geometry
Answer:
5
Step-by-step explanation:
2. 90 rock CD's out of 125 CD's.
Answer:
72%
Step-by-step explanation:
90/125 is .72
out of 125 CD's there are 72% of rock CD's and 28 of unknown CD's
expand the logarithmic expression In(3e^2)
Answer:
In (3) + 2
Step-by-step explanation:
Expand the logarithmic expression: ln(3e^2)
Multiply --> add logs
ln(3e^2) = ln(3) + ln(e^2)
= ln(3) + 2
which value is a solution for 4m = -132
Answer:
The answer is m = - 33
Step-by-step explanation:
The furniture store sells each chair (c) for $225. To have them shipped to their house, the store charges $60. If the Browns bought c number of chairs, how much did they spend (s)?
==========================================================
Explanation:
1 chair = 225 dollars
c chairs = 225c dollars .... multiply both sides by c
This shows that buying c chairs costs 225c dollars
c is a placeholder for a positive whole number
Add on the $60 shipping cost to get the total cost 225c+60
Therefore s = 225c+60
what is the y intercept of the table shown?
-1
1.5
-3
1
Answer:
-3
Step-by-step explanation:
the function increases by 2, so when you go backwards, the values will decrease by two hence, -3
Identify the following referance angle.
-130°
a.-50°
b.-130°
c. 130°
0.50
Can some one help me PLEASEEE
What is the function of the line?
Answer:
It is a linear function.
Step-by-step explanation:
The graph shows a straight line. Therefore the function must be linear. Unless you were asking about the equation of the line? Let me know.
To find the equation of this line, you would take the two points it passes through, (-3, 0) and (0, -2), and plug it into the slope formula, (y2-y1)/(x2-x1).
This would get you (-2 - 0)/ (0 - (-3)), which is -2/3.
Then, you can use slope intercept form to write the equation, since you have the y intercept already, (0, -2). Slope intercept is y=mx+b.
The line of the equation would then be y = -2/3x -2
"7xy+2x-y+5y-xy combine all like terms and rewrite the expression above "
Answer:
6xy+2x+4y
Step-by-step explanation:
The table shows the bills that Rosemary has this month. She begins the month with $54.30 in her bank account.
Part A: without any deposits, what would be her bank account balance after paying her bills? What does the sign of your answer indicate?
Part B: Rosemary will babysit for a total of $14.5 hours this month. She earns $8 per hour. What would be the account balance after depositing all that she earns and paying all her bills?
Part C: Rosemary wants to buy a gift for her little brother this month. should she buy a baseball glove for $22.95 or a T-shirt for $13.95? Use mathematics to justify your choice.
Answer:
Do you mind showing a photo of the table? Otherwise I can't really help. I need to know what her bills are.
Given the equations are x=6 and y=-8 parallel perpendicular or neither
what is the midpoint of (-9, -4) and (-6, -3) ?
A (-3, -2)
B (3, 2)
C (-3, 12)
D (-12, -5)
Answer: c hope this helps
11.0453610171873
Midpoint
(−6.5,3.5)
Slope
11
x intercept
−6.82
y intercept
75.00
Step-by-step explanation:
During a period of extreme cold, the average daily temperature dropped decreased by 1. Feach day. How many days did it take for the temperature to
decrease by 9 F? Which equation would you use to find the solution?
Answer:
The answer is 9 days
Step-by-step explanation:
First, we realise
-1.F = 1 day
-9.F = 9 days
The -1.F times 9 gives us one so the days times 9 as well.
Answer = 9
Convert y - 8 = 3(x + 8) to slope-intercept form.
Answer:
y - 8= 3(x+8) in slope intercept form is y = 3x + 32
Answer:
y= 3x-16
Step-by-step explanation:
explain how you can use the answer to problem 2 to verify the unit rate is 40
Answer:
6ab+8a factor out 2 from the expression. Your answer will be (2ax(3b+4). I hope this helps you.
Step-by-step explanation:<!>BRAINLIEST APPERICATED<!>
Alejandra drove from Michigan to Colorado to visit her friend. The speed limit on the highway is 70 miles/hour. If Alejandra’s combined driving time for the trip was 14 hours, how many miles did Alejandra drive?
PLease help me!
Answer:
13720 i think
Step-by-step explanation:
53.28 is what percent of 71.04?
Answer:
15.43
Step-by-step explanation:
71.04% off 53.28 is 15.43
The difference is 37.85 ,hope i helped
Last one someone answers this i’ll give brainlest but only if you answer this one
Answer:
342,000,000 miles difference
Step-by-step explanation:
jupiter: 484,000,000
mars: 142,000,000
484,000,000 - 142,000,000 = 342,000,000
I can not really see the question. Maybe take another photo?? That way, I can help better.
A city s location is represented on a map at the origin (0,0). Ted lives 20 miles south and 20 miles west of the city represented on this map. What are the coordinates of Ted's house? (Make sure to place your answer in parenthesis.) ex. (x,y) *
Answer:
(-20,-20)
Step-by-step explanation:
You can draw it out on a graph to see that the point 20 units down (south) and 20 units left (west) is (-20,-20), or you can subtract 20 from both the x and y values. [(x-20),(y-20)]
50°
25°
12x - 3
Find the x
Answer:
X=-36
Step-by-step explanation:
hope this helps you out
12,960= 10 x i really need help
Answer:129.6
Step-by-step explanation:Because it's the answer
What is the length of AZ?
Use the following information:
A
is between Y
and Z,
YA=22, AZ=16x,
and YZ=166.
The required length of AZ for the line segment YZ is 144.
Given that,
A is between Y and Z,
YA=22, AZ=16x, and YZ=166.
The line is a curve showing the fastestdistance between 2 points.
What is simplification?The process in mathematics to operate and interpret the function to make the function or expression simple or more understandable is called simplifying and the process is called simplification.
Here,
YZ = YA + AZ
166 = 22 + 16x
16x = 144
x = 9
Now,
Length of AZ = 16x
= 16 * 9
= 144
Thus, the required length of AZ for the line segment YZ is 144.
Learn more about lines here:
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