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tester [92]
3 years ago
11

IQ scores are normally distributed with a mean of 100 and a standard deviation of 15. If a certain statistician has an IQ of 112

, what percent of the population has a lower IQ? A. 47% B. 7% C. 93% D. 79% E. 99%
Mathematics
1 answer:
maks197457 [2]3 years ago
8 0

Answer:Letter D. 79%

Step-by-step explanation:

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Solve using algebraic equation: <br> 5sin2x=3cosx<br><br> (No exponents)
DaniilM [7]
5\sin2x=3\cos x\iff10\sin x\cos x=3\cos x

by the double angle identity for sine. Move everything to one side and factor out the cosine term.

10\sin x\cos x=3\cos x\iff10\sin x\cos x-3\cos x=\cos x(10\sin x-3)=0

Now the zero product property tells us that there are two cases where this is true,

\begin{cases}\cos x=0\\10\sin x-3=0\end{cases}

In the first equation, cosine becomes zero whenever its argument is an odd integer multiple of \dfrac\pi2, so x=\dfrac{(2n+1)\pi}2 where n[/tex ]is any integer.\\Meanwhile,\\[tex]10\sin x-3=0\implies\sin x=\dfrac3{10}

which occurs twice in the interval [0,2\pi) for x=\arcsin\dfrac3{10} and x=\pi-\arcsin\dfrac3{10}. More generally, if you think of x as a point on the unit circle, this occurs whenever x also completes a full revolution about the origin. This means for any integer n, the general solution in this case would be x=\arcsin\dfrac3{10}+2n\pi and x=\pi-\arcsin\dfrac3{10}+2n\pi.
6 0
3 years ago
Given f(x) = x2 - 10x + 22, what is the domain of f
Lesechka [4]
<h2><u>Answer:</u></h2><h2>Polynomials have the domain of all Reals.   Plugging any Real number into the equation will give you a value. </h2><h2>Domain = {x|x∈R}</h2><h2><u></u></h2><h2><u> Step-by-step explanation:</u></h2><h2>The range is dependent on the curve itself.  The axis of symmetry for this function is</h2><h2>x = -b/2a = -1(-10)/2(1) = 10/2 = 5 </h2><h2>The vertex is F(5) = (5)2 + (-10)(5) + 21 = 21 -50 + 21 = -8</h2><h2>Since the leading coefficient is positive, the parabola opens up and the vertex (5,-8) is a local minimum.  It turns out to be an absolute minimum too so the Range = {x|x∈R, x≥-8}</h2>

<h2><u>Thank you</u></h2><h2><u>sunshinemadison101</u></h2>

4 0
3 years ago
PLZ HELP QUICK!!! A restaurant catered a party for 40 people. A child’s dinner (c) cost $11 and an adult’s dinner (a) cost $20.
sergey [27]

The correct answer maybe

Actually I don't understand ur question

4 0
3 years ago
Read 2 more answers
Chin-li is building a brick wall along the front of his property. The wall will have 15 rows of bricks, with 32 bricks in each r
Finger [1]

Answer:

<h3>The solution is 480 bricks.</h3>

Step-by-step explanation:

We are given that number of rows of bricks in a wall = 15 rows.

Number of bricks in a row = 32 bricks.

In order to find the total number of bricks, we need to multiply number of rows with number of bricks in a row.

Total number of bricks in 15 rows = 15 × 32 = 480 bricks.

Therefore, will Chin-li will need 480 bricks.

<h3>The solution is 480 bricks.</h3>
3 0
3 years ago
<img src="https://tex.z-dn.net/?f=%20-%20%20%5Csqrt%7B3.24%20-%20%20%5Csqrt%7B1.44%20%2B%20%20%5Csqrt%7B12.25%7D%20%7D%20%7D%20"
Harrizon [31]

-sqa(3.24-sqa(1.44+sqa(12.25)))

= -sqa(3.24-sqa(4.94)) (since sqa(1.44+sqa(12.25))=sqa(4.94))

=-sqa(3.24-2.22261)

= - sqa(1.01739)

= - 1.00866

5 0
3 years ago
Read 2 more answers
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