Answer:
A sample of 217 is needed.
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{1-0.95}{2} = 0.025[/tex]
Now, we have to find z in the Ztable as such z has a pvalue of [tex]1-\alpha[/tex].
So it is z with a pvalue of [tex]1-0.025 = 0.975[/tex], so [tex]z = 1.96[/tex]
Now, find the margin of error M as such
[tex]M = z*\frac{\sigma}{\sqrt{n}}[/tex]
In which [tex]\sigma[/tex] is the standard deviation of the population and n is the size of the sample.
If the population standard deviation is $3,750 how large should the sample be if margin of error is $500
We have that [tex]\sigma = 3750[/tex].
We need a sample of n, and n is found when [tex]M = 500[/tex]. So
[tex]M = z*\frac{\sigma}{\sqrt{n}}[/tex]
[tex]500 = 1.96*\frac{3750}{\sqrt{n}}[/tex]
[tex]500\sqrt{n} = 1.96*3750[/tex]
[tex]\sqrt{n} = \frac{1.96*3750}{500}[/tex]
[tex](\sqrt{n})^{2} = (\frac{1.96*3750}{500})^{2}[/tex]
[tex]n = 216.1[/tex]
Rounding up
A sample of 217 is needed.
pls look at this picture and answer
Answer:
625
Step-by-step explanation:
Do you know this please
Answer:
the fraction is 70/100 and the decimal is 0.70 and the percent is 70%
Step-by-step explanation:
because the thing is showing 7 lines filled in so you count by tens til you get 70 out of 100
Answer:
the fraction is seventy over humdred
plz help Each letter of the alphabet is printed on an index card. What is the theoretical probability of randomly choosing any letter except Z? Write your answer as a fraction or percent rounded to the nearest tenth.
Answer:
The theoretical probability of choosing a letter other than Z is 96.2%
Step-by-step explanation:
elisse has 20 meters of ribbon how many 15 cm of ribbon can be cut from it
Answer:
133 pieces of 15cm can be cut from the ribbon.
Step-by-Step Explanation:
Length of ribbon = 20 meters
Length needed to be cut = 15 cm
We will convert meters into centimeters.
1 meter = 100 cm
20 meters = 2000 cm
Number of pieces = [tex]\frac{2000}{15}[/tex]
Number of pieces = 133.33
Rounding off to nearest whole number = 133
Hence,
133 pieces of 15cm can be cut from the ribbon.
Elissa can cut 133 ribbons from 20 meters long ribbon and this can be determined by using the unitary method.
Given :
Elisse has 20 meters of ribbon.
The following steps can be used to determine the total number of ribbons of length 15 cm can be cut from 20 meters ribbon:
Step 1 - Remember 1 meter is 100 cm.
Step 2 - If 1m is 100 cm then 20m is equal to:
[tex]=20\times 100[/tex]
= 2000 cm
Step 3 - Elisse cut 15cm long ribbon. So, the total number of ribbons she can cut is:
[tex]=\dfrac{2000}{15}[/tex]
Simplify the above expression.
= 133.334
[tex]\approx[/tex] 133
So, she can cut 133 ribbons from 20 meters long ribbon.
For more information, refer to the link given below:
https://brainly.com/question/16807456
Someone help me with this please
2(3u-8)= 38
6u-16=38
take 16 on the other side..
6u = 38 +16
6u = 54
u = 9
Answer:
u=9
Step-by-step explanation:
Divide both sides by 2
3u-8=19
Add 8 to both sides
3u=27
divide both sides by 3
u=9
6(a+4)=72
Help please
Answer:
6(a+4)=72
6a+24=72 -24
6a=48 ÷6
a=8
Step-by-step explanation:
hope it helps ^^
Please help me with acellus
Answer:
2x+1=4x-19
20=2x
x=10
eff traveled at an average speed of 65 miles per hour for 2.5 hours and then traveled at an average speed of 70 miles per hour for 1.5 hours. What was the total distance in miles that Jeff traveled during this time?
A. 272.5 miles
A. 272.5 miles
B. 267.5 miles
B. , 267.5 miles,
C. 270 miles
C. 270 miles
D. 337 miles
Answer:
267.5 miles
Step-by-step explanation
65×2.5=162.5
70×1.5=105
162.5+105=267.5
267.5Point a is located at (2,6) and D is located at (-4, 10)
what is 3.6+ 52.3 = to
Answer:
3.6+52.3= 55.9
Step-by-step explanation:
Answer: Hope this helps :)
Step-by-step explanation:
3.6 + 52.3 = 58.9
The school population for a certain school is predicted to increase by 80 students per year for the next 14 years. If the current enrollment is 800 students, what will the enrollment be after 14 years?
Answer: If im not wrong it should be 1920
Step-by-step explanation:
k+2 ≥ 5 i need the answer pls
Answer: dont know
Step-by-step explanation:
What’s the area of the triangle?
Answer:
25
Step-by-step explanation:
a= 2 A/b siny
Answer:im pretty sure its 84
Step-by-step explanation:a=(axb)/2
a=(7x24)=168/2=84
Maggie has already run 14 miles on her own, and she expects to run 1 mile during each
track practice. How many track practices would it take for Maggie to run 44 miles?
Answer:
30
Step-by-step explanation:
44 - 14 = 30 more
Answer:
30 practices
Step-by-step explanation:
The manager of a night club in Boston stated that 85% of the customers are between the ages of 21 and 27 years. If the age of customers is normally distributed with a mean of 24 years, calculate its standard deviation.
Answer:
The standard deviation of the age of the customers was of 2.08 years.
Step-by-step explanation:
Problems of normally distributed samples can be solved using the z-score formula.
In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the zscore of a measure X is given by:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.
In this question:
[tex]\mu = 24[/tex]
85% of the customers are between the ages of 21 and 27 years.
Since the normal distribution is symmetric, this means, for example, that 27 is the 50 + (85/2) = 92.5th percentile, that is, when [tex]X = 27[/tex], Z has a pvalue of 0.925. So when [tex]X = 27, Z = 1.44[/tex]. We use this to find [tex]\sigma[/tex]
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]1.44 = \frac{27 - 24}{\sigma}[/tex]
[tex]1.44\sigma = 3[/tex]
[tex]\sigma = \frac{3}{1.44}[/tex]
[tex]\sigma = 2.08[/tex]
The standard deviation of the age of the customers was of 2.08 years.
Gretchen earns seven dollars per hour at the local pizza shop if she works three hours in afternoon how much money does she earn
Answer:21
Step-by-step explanation:
1hr=7
3hr=21
7x3=21
Answer:
21 dollars
Step-by-step explanation:
Hi there!
All you have to do to solve this problem is multiply the amount of money made per hour by the number of hours worked.
In this case, its 7 x 3, which equals 21.
Hope this helped!
Please help me thank you and show work
Answer:
m=-18
Step-by-step explanation:
6m=-108
m=-108/6
m=-18
Answer:
okay so the answer is -18
Ramon read 12 pages in 20 min. How many pages can he read in 30 min?
Answer:
18 pages
Step-by-step explanation:
20 : 2 = 10 minutes
12 : 2 = 6 pages
10 x 3 = 30 minutes
3 x 6 = 18 pages
Estimate the square root to the nearest (a) integer and (b) tenth.
[tex]\sqrt{27/4}[/tex]
a.neartest integer:____
b.nearest tenth:_____
Answer:
√(27/4) = 2.6
=> a.neartest integer: 2
b.nearest tenth: 6
Step-by-step explanation:
I need help I'm in 5th grade
Answer:
C. 3 5/18
Step-by-step explanation:
What we know:
Joel purchased 5 7/9 lb of grapes, while Jim purchased 2 1/2 lb.
What we need to find out:
How many more pounds of grapes does Joel have than Jim.
What we need to do:
Subtract 2 1/2 from 5 7/9.
But first, we need a common denominator.
2 and 9 don't have any common factors so multiply normally.
2 * 9 = 18
5 7/9 becomes 5 14/18, and 2 1/2 becomes 2 9/18.
Now to subtract.
(5 - 2) + ((14-9)/18)
3 + ((14-9)/18
3 + 5/18
Joel has 3 5/18 more pounds of grapes than Jim, so the answer is C.
Answer:
C
Step-by-step explanation:
5 7/9 - 2 1/2 = 5 14/18 - 2 9/18 = 3 5/18
If eight balls can be purchased for $48, what is the unit rate?
Answer:
I think the unit rate is 6$
i divided 48 by 8 and got 6
Of the 29 houses on Jason's street, 3 are made out of brick. Approximately what percent of the houses are brick?
Answer: 0.87 percent are brick houses
Step-by-step explanation:
Solve for s.
1/2 s =7/2
A s= 1/7
B s=2/7
C s= 3
D s =7
To solve this equation, first get rid of the fractions.
We do this by multiplying both sides by the denominator, 2.
So we have (2)(1/2s) = (7/2)(2).
On the left, we have s and on the right, we have 7.
So we have s = 7.
Answer:
he got right
Step-by-step explanation:
What is the slope of this line?
Enter your answer as a whole number or a fraction in simplest form in the box.
Answer:
1/4 is the clope of the line
Step-by-step explanation:
a slope is just a rise ofver run from one dot to anothor so you go up 1 and over 4 and if you dont do the 2 dots that are closest to each other you have to simplify you r exspresion you will always get 1/4 on this graph
Which of the following represents 24 = 4 × 6?
A.
4 is 6 times as many as 24
B.
24 is 4 times as many as 6
C.
24 is 2 times as many as 12
D.
6 is 4 times as many as 24
Answer:
4 is 6 times as many as 24
Step-by-step explanation:
which of the following is true?
1 plus 1 equals 4
18 minus 2 is 4
13 plus 5 equals 9
10 minus 11 is -1
helllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllp
Answer:
y + 6 = 3/5(x - 4)
Step-by-step explanation:
Point-slope is the general form y-y₁=m(x-x₁)
y1 = -6, x1 = 4
y - (-6) -> y +6
y +6 = 3/5(x - 4)
Line m is perpendicular to lines l and n. Line n is parallel to line p. All four lines are coplanar. Which of the following statements is true?
A. line l is perpendicular to line p
B. line m is parallel to line p
C. line l is perpendicular to line n
D. line l is parallel to line p
Answer: Answer B
Step-by-step explanation:
What additional information is obtained by measuring on an interval scale compared to an ordinal scale?
Answer:
Step-by-step explanation:
From the given information.
An ordinal scale measurement does not give room to know the actual difference that coexists between the two measurements in a variable but in an interval scale of measurement, it is possible to deduce the actual difference that coexists between the two measurements in a variable.
Similarly, the ordinal scale only shows the rank of observations as per size and magnitude but in case of interval scale, it consists of classes with equal size, differentiated into direction and magnitude.
The product of two consecutive numbers is 1295, find the numbers.
Answer:
36.49 and 35.49
Step-by-step explanation:
Let the two consecutive number be x-1 and x
If their product is 1295, then;
x(x-1) = 1295
x² - x = 1295
x²-x - 1295 = 0
x = 1±√(-1)²-4(-1295)/2
x = 1±√1+5180/2
x = 1±71.98/2
x = 72.98/2
x = 36.49
x - 1 = 35.49
Hence the two numbers are 36.49 and 35.49