Answer:
0.3409 = 34.09% probability that under 70% color their hair in a group of 85 older women.
Step-by-step explanation:
To solve this question, we need to understand the normal probability distribution and the Central Limit Theorem.
Normal Probability Distribution:
Problems of normal distributions 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.
Central Limit Theorem
The Central Limit Theorem estabilishes that, for a normally distributed random variable X, with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean [tex]\mu[/tex] and standard deviation [tex]s = \frac{\sigma}{\sqrt{n}}[/tex].
For a skewed variable, the Central Limit Theorem can also be applied, as long as n is at least 30.
For a proportion p in a sample of size n, the sampling distribution of the sample proportion will be approximately normal with mean [tex]\mu = p[/tex] and standard deviation [tex]s = \sqrt{\frac{p(1-p)}{n}}[/tex].
72% report that they color their hair to hide their gray.
This means that [tex]\mu = p = 0.72[/tex]
What is the probability that under 70% color their hair in a group of 85 older women?
For a sample of 85, we have that [tex]s = \sqrt{\frac{0.72*0.28}{85}} = 0.0487[/tex]
This probability is the pvalue of Z when X = 0.7. So
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
By the Central Limit Theorem
[tex]Z = \frac{X - \mu}{s}[/tex]
[tex]Z = \frac{0.7 - 0.72}{0.0487}[/tex]
[tex]Z = -0.41[/tex]
[tex]Z = -0.41[/tex] has a pvalue of 0.3409
0.3409 = 34.09% probability that under 70% color their hair in a group of 85 older women.
A ____________________ is a measurement of the change in variables over a specific period of time.
Group of answer choices
an ordered pair
graph
table
rate of change
Answer:
rate of change
Step-by-step explanation:
The rate of change (ROC) is the speed at which a variable changes over a specific period of time.
Estimate the following product using a power of ten
Find the total of a
$60 meal with 15%
tip and 8% tax.
Answer: $73.8 15% of 60 is 9 and 8% of 60 is4.8 then if you add them all together you get 73.8$
Step-by-step explanation:
Answer:
$73.8
Step-by-step explanation:
(15+8)= 23 -> .23 = .23 times 60 = $73.8
consider the function f(x)=2x-3
A) Evaluate f
Answer:
The Answer is a(x)+3x-10
Step-by-step explanation:
Answer:
please give f(?) like f of what? if you give that i will be able to help you more
Step-by-step explanation:
I dont know how to do surface area
Answer: the equation for SU is 2(lb+bh+hl)
Step-by-step explanation: L stands for length B stands for base. H stand for height multiply that by 2
5-x=3
Work out the value of x
Answer:
x = 2
Step-by-step explanation:
5 - x = 3
- x = 3 - 5
- x = - 2
x = 2
What is the value of (x^3 − 7x^2 − 18x + 42) when x = 3?
Answer:
-150
Step-by-step explanation:
x^2 - 7x^2 - 18x +42
3^2 - 7(3)^2 - 18(3) + 42
9 - 63 - 54 + 42
-54 -54 + 42
-108 + 42
-150
Target buys video games for $25/game. They markup the price by 75%. How much do
they charge customers for a videogame? Do not enter a dollar symbol with your
answer.
9514 1404 393
Answer:
$43.75
Step-by-step explanation:
The amount of the markup is ...
$25 × 0.75 = $18.75
The final cost to the customer is ...
selling price = purchase price + markup
= $25.00 + 18.75 = $43.75
They charge customers $43.75 for a videogame.
5.175 into a fraction
Find the area of the figure below
Step-by-step explanation:
(3×6) + (2×6)
= 18 + 12
= 30 in²
Find the average rage of change of each of the following functions over the interval 1 < × < 5.
Acellus
Find the standard deviation of
the given data rounded to the
nearest hundredth.
3,4,5,7,10,12,15
Answer:
17.4
Step-by-step explanation:
3 + 4 + 5 + 7 + 10 + 12 + 15)/7 = 8
(3^2 + 4^2 + 5^2 + 7^2 + 10^2 + 12^2 + 15^2)/7 - 8^2 = 17.14285714
17.14285714 = 17.4
I need this please help me
Answer:
y=4/5(x)+10
Step-by-step explanation:
the slope of the line is 4/5 and the y intercept is 10
using the format y=mx+b where m is the slope and b is the y intercept we arrive at the equation
Which set of angle measures could be measures of the interior angle of a triangle?
Answer:
b
Step-by-step explanation:
23-105-45
Answer: 60°, 60°, and 60° is the set of interior angles of triangle.
I am not sure how to solve this could anyone help???
Answer:
about 137 degrees
Step-by-step explanation:
see attached picture
(Statistics) A local gym collects data on the number of memberships it sold in each month last year compared to the number sold in each month this year. For example, the January sales from last year are compared to the January sales from this year. Which of the following best describes the first step needed to simulate this data?
(Answer choices shown in photo. Will report fake/spam answers. Thanks for the help).
Answer:
Determine the proportion of months where memberships sold decreases,
increases and remained the same.
Step-by-step explanation:
I just took the test and got it correct.
The first step needed to simulate this data is:
Assign each month a digit from 1 to 24 to account for the 24 total months being compared.
Option B is the correct answer.
What is simulating data?Simulating data means creating artificial data that mimics the characteristics of real data.
This artificial data is generated by using a model or a set of rules that describe how the data might be generated under certain conditions.
We have,
The first step needed to simulate this data is to assign each month a digit from 1 to 24 to account for the 24 total months being compared.
This will allow for an easy comparison of the sales data from last year and this year.
Once each month has been assigned a digit, the data can be organized and analyzed to determine the proportion of months where memberships sold decreased, increased, and remained the same, as well as the mean monthly sales from last year and this year.
Finally, random digits can be assigned to each sales figure from last year and this year to create a simulated data set that can be used for further analysis and modeling.
Thus,
The first step needed to simulate this data is:
Assign each month a digit from 1 to 24 to account for the 24 total months being compared.
Learn more about simulating data here:
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Solve for x: -8 < x - 1 < 5
Answer: −7<x<6
Step-by-step explanation:
−8<x−1<5
−8+1<x−1+1<5+1(Add 1 to all parts)
−7<x<6
Which figure could be the result of dilating this rectangle with a scale factor between 0 and 1?
Answer:
When we dilate a figure with a scale factor between 0 and 1, the size of the figure shrinks but maintains the same orientation as the original figure. Therefore the correct option is B.
which is greater 1/4 or 0.75
Answer:
0.75 is greater
Step-by-step explanation:
1/4=0,25 and 0.75 is greater than 0,25
HELP PLS PLS PLSBPLSBPLS PLS
Answer:
a and c are correct
b and are wrong
bc length=ab length=4 squres
so triangle is isosceles.a is correct
abc angle is right angle.so c is correct
triangle has only one line of symmetry.that will be the line joining b and the mid point of ac
ac side is bigger than other two sides.so d is incorrect
PLZ HELP!! I NEED QUICKLY!!
Choose 5 ordered pairs whose first and second coordinate are equal. Plot these points and connect them. What kind of figure do you get? In what quadrants does the figure lie?
Answer:
no worries about the other day and I had literally forgotten about the other night and was just so I could tell me how I felt and I had a flat rate that you and I had a
The figure of y = x will be a straight line with slope 1 and they ;lie in the first quadrant and the third quadrant.
What is Linear Function?A linear function can be defined as the function whose graph is a straight line. It can also be defined as the function with one or more variables but does not have exponents to the variables or the exponent of the variable is 1.
We have to choose 5 ordered pairs first whose first and second coordinate are equal.
Let the coordinates be (-4, -4), (-2, -2), (0, 0), (2, 2) and (4, 4).
The ordered pairs are of the form (x, x), that both the coordinates have same value.
So we get a linear function y = x
The graph of a linear function will be a straight line.
Since y = x, the graph will be a straight line which tends to the positive direction and the slope of the line = 1.
That is , the angle that the line making with the X axis is 45°.
And the figure lies on first and third quadrant.
Hence the figure of y = x would be a straight line with slope 1.
To learn more about Linear Functions, click :
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What is (7-2)^2+3/ 1/6
( / ) this means divide and (^) that means to the power
Answer:
ewannnnnnnnnnnnnn
Step-by-step explanation:
d q den alam d pa namin pinagaaralan yan, xenxia na godbless
Carol decorated a cylinder by placing a 3 inch wide striped ribbon around its curved surface the cylinder has a radius of 3 in and a height of 3 in
Answer:
28.26
Step-by-step explanation:
radius-3
height-3
pi-3.14
Bob and Larry went on a tricycle ride. They rode for the same amount of time, but Bob cycled 10 miles per hour slower than Larry. If Bob cycled 14 miles and Larry cycled 21 miles, find the speed that both Larry and Bod rode their tricycles.
Step-by-step explanation:
so basically they are asking you to subtract, hope this helps, use a calculator if needed
Using the graph below, what is f(5)?
F(5) would be the y value of where the line is when it is at x 5
The line crosses at -6.5
F(5) = -6.5
I need help on this for real
Answer:
x < 3
Step-by-step explanation:
Isolate the variable by dividing each side by factors that don't contain the variable.
Answer:
Gang ima just take them points tbh
Step-by-step explanation:
A student is able to finish 2 homework problems per hour. If they have already completed 4 problems, how many hours will it take for them to finish an assignment which has 18 problems total? Give your answer to two decimal places.
Answer:
Step-by-step explanation:
4+2t=18
2t=14
t=7 hours
Answer:
7.00 hours
Step-by-step explanation:
They already did 4 problems and need to do 18 problems in total.
18 - 4 = 14 problems
2 problems/ per hour
14 problems/ 7 hours
It will take them 7 hours to finish. Since you said "Give your answer to two decimal places." You could write it as 7.00 hours.
1 Which is the simplified form of the expression (1021495* (104)05) ?? 1 30 O O g30 012 060 O p12,60
Answer:
7
Step-by-step explanation:
Answer two questions about Systems A and B:System A x+3y=−9 2x+y=4 System B 3x+4y=−9 2x+y=4
Answer:
A=(21/5,-22/5) B=(5,-6)
Step-by-step explanation:
What is the answer for
(7-2)÷5
Answer:
1
Step-by-step explanation:
7-2=5 5/5=1