A Z-score helps us to understand how far is the data from the mean. The percentage of children who spend over 10 hours per day unsupervised is 0.005%.
What is Z-score?A Z-score helps us to understand how far is the data from the mean. It is a measure of how many times the data is above or below the mean. It is given by the formula,
[tex]Z = \dfrac{X- \mu}{\sigma}[/tex]
Where Z is the Z-score,
X is the data point,
μ is the mean and σ is the standard variable.
Given that the average time that is unsupervised is 3 hours and the standard deviation is 1.8 hours. The percentage of children who spend over 10 hours per day unsupervised is,
P(X>10) = 1 - P(X<10)
[tex]= 1 - P(Z < \dfrac{10-3}{1.8})[/tex]
= 1 - P(Z< 3.889)
= 1 - 0.99995
= 0.00005
Hence, The percentage of children who spend over 10 hours per day unsupervised is 0.005%.
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Less than 0.01% of rural 4-year-olds spend over 10 hours unsupervised per day based on mean, standard deviation, and normal distribution.
To find the percentage of children spending over 10 hours per day unsupervised, we can use the z-score formula to standardize the value and then find the area under the normal distribution curve.
The formula for the z-score is:
[tex]\[ z = \frac{x - \mu}{\sigma} \][/tex]
Where:
[tex]- \( x \) is the value we're interested in (10 hours per day)\\- \( \mu \) is the mean (3 hours per day)\\- \( \sigma \) is the standard deviation (1.8 hours)[/tex]
Let's calculate the z-score:
[tex]\[ z = \frac{10 - 3}{1.8} = \frac{7}{1.8} \approx 3.89 \][/tex]
Now, we'll find the area to the right of this z-score in the standard normal distribution table (or using a calculator). This represents the percentage of children spending over 10 hours per day unsupervised.
From the standard normal distribution table or calculator, a z-score of 3.89 corresponds to approximately 0.9999.
This means that approximately 99.99% of the children spend less than 10 hours per day unsupervised.
However, if you're looking for the percentage of children spending over 10 hours per day unsupervised, you'd subtract this from 100%:
100% - 99.99% =approx 0.01%
So, only about 0.01% of the children spend over 10 hours per day unsupervised.
A correlation coefficient of .89 indicates that _____.
The correlation coefficient indicates the strength of the relationship between variables. The closer it is to 1, the stronger the relationship. If it is 0, there is no relationship.
Explanation:The number portion of the correlation coefficient indicates the strength of the relationship. The closer the number is to 1 (be it negative or positive), the more strongly related the variables are, and the more predictable changes in one variable will be as the other variable changes. The closer the number is to zero, the weaker the relationship, and the less predictable the relationships between the variables becomes. For instance, a correlation coefficient of 0.9 indicates a far stronger relationship than a correlation coefficient of 0.3. If the variables are not related to one another at all, the correlation coefficient is 0.
Find the total cost of 3.4 pounds of caramel nut clusters at $8.25 per pound and 5.2 pounds of chocolate covered cashews at $9.35 per pound.
Mr. Potts, the college Pastry Chef, baked three apple pies, two blueberry pies, five cherry pies, and six key lime pies for the student fundraiser. What percent of the pies were apple?
Answer:
18.75%
Step-by-step explanation:
Mr. Potts, the college Pastry Chef baked pies for the student fundraiser.
He baked apple pies = 3
Blueberry pies = 2
Cherry pies = 5
Key lime pies = 6
We have to calculate the percentage of the apple pies.
Total number of pies that he baked = 3 + 2 + 5 + 6 = 16 pies
Percentage of Apple pies = [tex]\frac{3}{16}[/tex] × 100
= 0.1875 × 100
= 18.75%
18.75% was apple pie.
When you use the distance formula, you are building a(n) _____ whose hypotenuse connects two given points.
Something greater tha 1/2 yard but less than 5/8 yard??
If one million people have equal chances of being called by telephone from a broadcasting show, then the probability of one particular person receiving that call is .
After eating a 100 calorie snack mark exercised to burn 100 calories show answer in number line
The sum of three numbers is 142. The first number is 8 less than the second. The third number is 4 times the second. What are the numbers?
If the population decreases with a constant rate of change and the decrease is 7% in the first year, what will the town's population be in 6 years? (round to the nearest person)
1.825 x 10^-4 write the following number in stand form (decimal).
360 miles driven on 12 gallons of fuel; 270 miles driven on 9 gallons of fuel. Use ratios or rates are equivalent. Explain your reasoning. Show all your work.
in each variety pack of fruit juice, there are 3 voxes of apple juice, 2 boxes of grape juice, and 1 box of orange juice. In a display in the store, there are 16 cases of juice with 8 variety packs in each case. How many boxes of juice are in the display?
The total number boxes of juice are 768 in the display.
What is the unitary method?The unitary method is a method for solving a problem by the first value of a single unit and then finding the value by multiplying the single value.
We have been given that in each variety pack of fruit juice, there are 3 voxes of apple juice, 2 boxes of grape juice, and 1 box of orange juice.
In a display in the store, there are 16 cases of juice with 8 variety packs in each case therefore,
Each variety pack of fruit juice = 3 + 2 + 1 = 6 juice
8 variety packs = 8 x 6 = 48
Now, the total number boxes of juice are in the display
16 x 48
= 768
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A dress is sold for $980 plus 15% GCT. what is the total cost of the dress
What is the approximate length of the diameter,d?
Answer:
The diameter of the circle is 14in
Step-by-step explanation:
There is an equation that says: If you have the circumference (C) of a circle you can get the Diameter (d):
d=C/π(constant number)
In the problem you have C=44 in
Then:
π=3,1416
d=44in/3,1416
d=14in
Estimate 615-342 please help me
Simplify 9 - 10
A:-19
B: -1
C: 1
D: 19
Every 23 hour, Harris can sew 16 pair of jeans. What is Harris's rate in pairs of jeans per hour?
19³ x 19³ =
1. 19 *exponent* 3
2. 19 *exponent* 4
3. 19 *exponent* 5
4. 19 *exponent* 6
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Please help!!
An electrician has 4.1 meters of wire. How many strips 7/10 meters long can he cut?
How many ways are there to select 6 students from a class of 25 to hold six different executive positions on a committee?
I need help with this ....!!!!!
Selected from this population. find the probability that the sample mean is greater than 2.1 but less than 2.6.
Four friends have decided to visit the art museum. Admission costs $5.75 per person. If x represents the total cost for the four friends to go to the museum, which equation is true?
A. $5.75 • x = 4
B. 4 • $5.75 = x
C. 4 + x = $5.75
D. 4 • x = $5.75
Answer:
B
Step-by-step explanation:
I just did a test
David has $425 worth of items in his shopping cart. He receives a discount of 30% for the items at the checkout. If he then has to pay an 8% sales tax, what is the final amount that David paid?
Sarah washes cars at the car wash. She makes $8.25 per hour and earns $30 in tips per day. Give an expression that Sarah could use to calculate her daily earnings.
A) $8.25x + $30
B) $8.25 + $30
C) $8.25 - $30
D) $8.25 + $30x
you would need to multiply 8.25 by the number of hours worked (x) and then add the tips
so it would be A. 8.25x+30
The base of the building is an equilateral triangle 180 meters on each side. The height of the prism is 25m. Find the height, of the triangular base.
The height of the triangular base is 155.46 m.
To find the height of the equilateral triangle base of the prism, we'll first determine the height of one of its constituent triangles.
The height ( h ) of an equilateral triangle is given by [tex]\( h = \sqrt{3}/2 \times \text{side length} \).[/tex]
Calculate the height of one triangle:
[tex]\[ h = \frac{\sqrt{3}}{2} \times 180 \, \text{m} = \frac{\sqrt{3} \times 180}{2} = \frac{180\sqrt{3}}{2} = 90\sqrt{3} \, \text{m} \][/tex]
Calculate the total height of the prism:
The height of the prism is given as 25 m.
Calculate the total height:
Total height = height of one triangle + height of the prism
[tex]\[ \text{Total height} = 90\sqrt{3} \, \text{m} + 25 \, \text{m} = 90\sqrt{3} + 25 \, \text{m} = 155.46 \, \text{m} \][/tex]
So, the height of the triangular base is 155.46 m
124,248-55,679 show me how you get this answer
Bass - samples: the bass in clear lake have weights that are normally distributed with a mean of 2.1 pounds and a standard deviation of 0.9 pounds. (a) if you catch 3 random bass from clear lake, find the probability that the mean weight is less than 1.0 pound.
Adam makes $632 gross income per week and has claimed four allowances. According to the table below, what is Adam’s net income after tax withholding? 2007-05-03-00-00_files/i0140000.jpg a. $99 b. $533 c. $731 d. $502
Answer:
The net income of the tax withholding $533 dollars.
Confirmed on R09.
if a population of scores is normally distributed, has a mean of 45 and a standard deviation of 6, the most extreme 5% of the scores lie beyond the score(s) of _________.
a. 35.13
c. 56.76 and 33.24
b. 45.99
d. 45.99 and 35.13
Final answer:
To find the most extreme 5% of normally distributed scores with a mean of 45 and a standard deviation of 6, we look for scores beyond the z-score cut-offs corresponding to 2.5% and 97.5%. The z-score around 1.96 gives us two scores: 56.76 on the high end and 33.24 on the low end, indicating that answer 'c' is correct.
Explanation:
To determine the most extreme 5% of the scores in a normally distributed population with a mean of 45 and a standard deviation of 6, we need to find the z-score that corresponds to the tails of the distribution where the cumulative area is either less than 2.5% or greater than 97.5% (since 5% is split into two tails of the distribution).
Using a standard normal distribution table or a calculator, the z-score that corresponds to the upper 97.5% is typically about 1.96 (or sometimes 1.645 for a one-tailed test). To find the actual scores corresponding to these z-scores, we use the formula for transforming a z-score into an actual value which is:
X = μ + (z • σ)
For the upper extreme:
X = 45 + (1.96 • 6) = 56.76
For the lower extreme:
X = 45 - (1.96 • 6) = 33.24
Thus, the most extreme 5% of the scores lie beyond scores of 56.76 and 33.24. Therefore, the correct answer is c. 56.76 and 33.24.