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3 years ago

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Jan takes an IQ test at ages 7 and 9. Mike takes an IQ test at ages 5 and 9. Mark takes an IQ test at ages 7 and 10. Jane takes

an IQ test at ages 5 and 8. Which child's IQ scores are MOST likely to be more positively correlated

1 answer:

sasho [114]3 years ago

7 0

The IQ scores are most likely to be more positively correlated is Jan

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Select the correct answer.

Usimov [2.4K]

Applying the law of sines, the approximate length of side YZ is: A. 15.7 units.

<h3>How to Apply the Law of Sines?</h3>

Law of sines is expressed as follows: x/sin X = y/sin Y = c/sin Z.

Given the following:

x (YZ) = ?
X = 32°
z = 24
Z = 180 - 32 - 94 = 54°

Plug in the values

x/sin 32 = 24/54

x = (sin 32 × 24)/sin 54

x ≈ 15.7 units.

Learn more about the law of sines on:

brainly.com/question/27174058

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2 years ago

What number is 25 percent of 84?

raketka [301]

Answer: 21

Step-by-step explanation:25%=1/4

1/4*84 =84/4

84/4=21

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3 years ago

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A competitive knitter is knitting a circular place mat. The radius of the mat is given by the formula

Ilia_Sergeevich [38]

Answer: A. $A'(t)=\frac{4356\pi}{(t+11)^{3}}-\frac{527076\pi}{(t+11)^{5}}$

B. A'(5) = 1.76 cm/s

Step-by-step explanation: <u>Rate</u> <u>of</u> <u>change</u> measures the slope of a curve at a certain instant, therefore, rate is the derivative.

A. Area of a circle is given by

$A=\pi.r^{2}$

So to find the rate of the area:

$\frac{dA}{dt}=\frac{dA}{dr}.\frac{dr}{dt}$

$\frac{dA}{dr} =2.\pi.r$

Using $r(t)=3-\frac{363}{(t+11)^{2}}$

$\frac{dr}{dt}=\frac{726}{(t+11)^{3}}$

Then

$\frac{dA}{dt}=2.\pi.r.[\frac{726}{(t+11)^{3}}]$

$\frac{dA}{dt}=2.\pi.[3-\frac{363}{(t+11)^{2}}].\frac{726}{(t+11)^{3}}$

Multipying and simplifying:

$\frac{dA}{dt}=\frac{4356\pi}{(t+11)^{3}} -\frac{527076\pi}{(t+11)^{5}}$

The rate at which the area is increasing is given by expression $A'(t)=\frac{4356\pi}{(t+11)^{3}} -\frac{527076\pi}{(t+11)^{5}}$ .

B. At t = 5, rate is:

$A'(5)=\frac{4356\pi}{(5+11)^{3}} -\frac{527076\pi}{(5+11)^{5}}$

$A'(5)=\frac{4356\pi}{4096} -\frac{527076\pi}{1048576}$

$A'(5)=\frac{2408693760\pi}{4294967296}$

$A'(5)=1.76268$

At 5 seconds, the area is expanded at a rate of 1.76 cm/s.

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3 years ago

$3.98 divided by 100x4

Oliga [24]

$0.00995 is the correct answer.

$3.98/400=0.00995

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3 years ago

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Add and Subtract Decimals to

Bogdan [553]

It should be 0.4 cause 0.4 is the same as 0.40

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3 years ago