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Leviafan [203]
3 years ago
11

Suppose IQ scores were obtained for 20 randomly selected sets of siblings. The 20 pairs of measurements yield x overbarequals102

.04​, y overbarequals101.55​, requals0.856​, ​P-valueequals​0.000, and ModifyingAbove y with caret equals 25.05 plus 0.75 x​, where x represents the IQ score of the younger child. Find the best predicted value of ModifyingAbove y with caret given that the younger child has an IQ of 95​? Use a significance level of 0.05.
Mathematics
1 answer:
mezya [45]3 years ago
7 0

Answer:

96.3

Step-by-step explanation:

The equation for predicting variable y is

y=25.05+0.75x.

Here x is the IQ of younger child.

We have to find the predicted value of y given that the younger child's IQ is 95. It can be computed by putting x=95 in the above equation.

So,

y=25.05+0.75*95

y=25.05+71.25

y=96.3

Thus, the best predicted value of y given that the younger child has an IQ of 95​ is 96.3.

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Which of the following expressions are equivalent? Justify your reasoning,
marshall27 [118]

Answer:

B and D

Step-by-step explanation:

B:

Anything to a negative power means that it is 1/that to the positive power.

E.g. x^-1 = 1/x^1

In other words, anything to the power of a negative switches sides of a fraction (i.e. if in numerator moves to denominator and vice versa.)

1/x^-1 = 1/1/x^1 which is just equal to x, because there are x number of 1/xs in one (1/x * x =1) Therefore Option B is equal to just x.

D: (assuming the first given term is x^1/3 and not X1/3 (?) Correct me if I'm wrong).

x^1/3 * x^1/3 * x^1/3 is also equal to just x.

This is because when multiplying together terms with the same base (x in this case) the exponents just add together, so:

x^1/3 * x^1/3 * x^1/3 = x^(1/3 +1/3 +1/3) = x^1 = x.

Therefore B and D are equivalent because they both equal x.

Hope this helped!

7 0
3 years ago
Expand ( 2 − x ) 5 and identify each part of the expression.
dimaraw [331]
You use distributive property. So (5 x 2)-(5 x x)= 10 - 5x.
8 0
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3) A packet of
coldgirl [10]
821 divid 2 equals 410 but your not saying how many portions it is equal to
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Select all the numbers that Logan could multiply by 54,216 to get a product less than 54,216
Whitepunk [10]
Any answer less than one would work, soothe answers are A and D
4 0
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Read 2 more answers
World population is approximately upper p equals 6.4 left-parenthesis 1.0126 right-parenthesis superscript t, with upper p in bi
Leviafan [203]

Given equation is

P=6.4(1.0126)^t

It gives approx world population in billions for t years since 2004.


Answer(a):

Compare with growth formula P=a(b)^t, we get:

growth factor b = 1.0126

We know that if r is the percent rate of growth then

1+r=b

1+r=1.0126

r=0.0126

Hence the yearly percent rate of growth of the world population is 0.0126 or 1.26%.


Answer(b):

To find worlds population in 2004, plug t=0 because year is counted from 2004.

P=6.4(1.0126)^0 = 6.4*1 = 6.40

Hence answer is 6.40 billion.


To find worlds population in 2018, plug t=2018-2004=14 because year is counted from 2004.

P=6.4(1.0126)^{14} = 6.4*1.19160117479 = 7.62624751867

Hence answer is approx 7.63 billion.


Answer(c):

Average rate of change of the world population between 2004 and 2018 is given by:

\frac{P\left(Year_{2018}\right)-P\left(year_{2004}\right)}{2018-2004}

=\frac{P\left(14\right)-P\left(0\right)}{14-0}

=\frac{7.63-6.40}{14}

=0.0878571428571

Hence answer is approx 0.0878571428571 billion per year.

To convert it into millions, multiply by 1000

So we get 0.0878571428571*1000 = 87.8571428571

Which is approx 88 to the nearest integer

Hence final answer is approx 88 millions per year.

7 0
4 years ago
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