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Kitty [74]
2 years ago
10

Scores of an IQ test have a bell shaped distribution with a mean of 100 and a standard deviation of 20 use the empirical rule de

termine the following what percentage of people have an IQ score less than 60 or greater than 140
Mathematics
1 answer:
ad-work [718]2 years ago
7 0

Answer:

5% of people have an IQ score less than 60 or greater than 140

Step-by-step explanation:

The Empirical Rule states that, for a normally distributed random variable:

68% of the measures are within 1 standard deviation of the mean.

95% of the measures are within 2 standard deviation of the mean.

99.7% of the measures are within 3 standard deviations of the mean.

In this problem, we have that:

Mean = 100

Standard deviation = 20

What percentage of people have an IQ score less than 60 or greater than 140

60 = 100 - 2*20

So 60 is two standard deviations below the mean

140 = 100 + 2*20

So 140 is two standard deviations above the mean

By the Empirical Rule, 95% of the people have an IQ between 60 and 140, and 5% have an IQ outside this range, that is, less than 60 or greater than 140.

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Suppose Sally has $28.00 in her bank account and starts saving $18.25 every week. Her friend Suzy has $161.00 in her bank accoun
Elza [17]

a.

Sally has $28.00 in her bank account and starts saving $18.25 every week.

Let x represent the number of weeks from when he have $28.00 in her account.

and y represent the amount in her account at week x;

We can write the function of the case as;

y=mx+b

where m is the amount she saves every week, and b the initial amount in her account.

\begin{gathered} m=\text{ \$18.25} \\ b=\text{ \$28.00} \end{gathered}

So, the function will be;

y=18.25x+28

b.

Her friend Suzy has $161.00 in her bank account and is withdrawing $15 every week.​

Using the same rule as in a above;

\begin{gathered} m=-15\text{ (withdrawing is negative)} \\ b=161 \end{gathered}

The function will be;

y=-15x+161

c.

The graph of the two functions is shown below;

d.

The point where the two lines intersect is shown in the graph above.

The point is at;

(4,101)

Which is at week 4 and balance $101.

e.

The point at which they intersect is the point where they both have the same values.

It is the week when both Sally and Suzy have the same amount in there account.

So, at the fourth week (week 4) Sally and Suzy both have $101 in their account

3 0
1 year ago
2. Write the equation of a circle that has a diameter of 12 units if its center is at (4,7).
ahrayia [7]

Answer:

The Answer is B

Step-by-step explanation:

The equation of a circle in standard form is

(x - h)² + (y - k)² = r²

where (h, k) are the coordinates of the centre and r is the radius

Here diameter = 12, thus radius = 12 ÷ 2 = 6 and (h, k) = (2.5, - 3.5), thus

(x - 2.5)² + (y - (- 3.5))² = 6², that is

(x - 2.5)² + (y + 3.5)² = 36 ← equation of circle

5 0
3 years ago
Help help help if u can answer this I’ll mark u brainliest (6) (the one in the middle)
Hoochie [10]

You just have to plug in each thing:

So f(0):

3(0)^2 - 4 = -4

so its not A

f(-2) and f(2):

3(-2)^2 - 4

3(2)^2 -4

now we don't even have to calculate these, anything to the power of an even number is a positive number so -2^2 and 2^2 both equal 4

B is correct, so you can do the others if you want to check, but if B is true the others shouldn't be true.

4 0
3 years ago
A crop scientist is conducting research with a drought resistant corn hybrid. She is interested in determining if increasing the
sdas [7]

Answer:

A , B and E.

Step-by-step explanation:

the scientist can control and deal with the measure of manure that is given to a solitary corn plants. thus A is correct.

The reaction variable is the yield recorded for each plot due to the fact that the yield recorded in each plot is needed to check  whether the compost is given or not. choice B is also correct

it's considered an experiment because the specialist is controlling the autonomous variable. then E is a right choice.

3 0
3 years ago
Read 2 more answers
Five state officials are listed to the right. a. List the 10 possible samples​ (without replacement) of size 3 that can be obtai
mart [117]

Answer:

All possible are:

(G,L,S)

(G,L,R)

(G,L,P)

(G,S,R)

(G,S,P)

(G,R,P)

(L,S,R)

(L,S,P)

(S,R,P)

{L,R,P)

Probability of 1st/2nd/10th sample = 1/10

Step-by-step explanation:

All the possible combinations of the 3 size samples from a 5 size population have been listed without repetition.

Total Numbers of Samples = 10

To find the probability of finding the first sample from random sampling procedure,

Probability = Number of desired outcomes/ Total number of outcomes

Where Number of desired outcome is 1 and total number of outcomes is 10.

Probability = 1/10

Similarly, to find 2nd sample or 10th sample, the number of desired outcomes is same i.e 1, hecne the probability remains the same i.e 1/10

7 0
3 years ago
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