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podryga [215]
3 years ago
9

Angela took a general aptitude test and scored in the 91st percentile for aptitude in accounting. (a) What percentage of the sco

res were at or below her score?(b) What percentage were above?
Mathematics
1 answer:
BartSMP [9]3 years ago
8 0

Answer:

a) 91% of the scores were at or below her score.

b) 9% of the scores were above her score.

Step-by-step explanation:

When a value V is said to be in the xth percentile of a set, x% of the values in the set are lower than V and (100-x)% of the values in the set are higher than V.

In this problem, we have that:

Angela scored on the 91st percentile.

(a) What percentage of the scores were at or below her score?

Since Angela scored on the 91st percentile, 91% of the scores were at or below her score.

(b) What percentage were above?

Since Angela scored on the 91st percentile, 9% of the scores were above her score.

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CaHeK987 [17]

Hope this help!!!

Have a nice day!!!

6 0
3 years ago
A map scale is 1 cm :50Km.Two cities are 3.8cm apart .How many kilometers is it from on e city to the other
Gennadij [26K]
So what you do is you want to multiply
3.8 × 50=190km

6 0
3 years ago
Select the sets that are not functions.
Temka [501]
D and E are the ones that aren’t functions because they use the x-values more then once
5 0
3 years ago
4sin²<img src="https://tex.z-dn.net/?f=%5Cfrac%7Bx%7D%7B2%7D" id="TexFormula1" title="\frac{x}{2}" alt="\frac{x}{2}" align="absm
raketka [301]

Answer:

\displaystyle x=\left \{\frac{2\pi}{3}+2\pi k,\frac{4\pi}{3}+2\pi k, \frac{8\pi}{3}+2\pi k, \frac{10\pi}{3}+2\pi k\right \}k\in \mathbb{Z}

Step-by-step explanation:

Hi there!

We want to solve for x in:

4\sin^2(\frac{x}{2})=3

Since x is in the argument of \sin^2, let's first isolate \sin^2 by dividing both sides by 4:

\displaystyle \sin^2\left(\frac{x}{2}\right)=\frac{3}{4}

Next, recall that \sin^2x is just shorthand notation for (\sin x)^2. Therefore, take the square root of both sides:

\displaystyle \sqrt{\sin^2\left(\frac{x}{2}\right)}=\sqrt{\frac{3}{4}},\\\sin\left(\frac{x}{2}\right)=\pm \sqrt{\frac{3}{4}}

Simplify using \displaystyle \sqrt{\frac{a}{b}}=\frac{\sqrt{a}}{\sqrt{b}}:

\displaystyle \sin\left(\frac{x}{2}\right)=\pm \sqrt{\frac{3}{4}},\\\sin\left(\frac{x}{2}\right)=\pm \frac{\sqrt{3}}{\sqrt{4}}=\pm \frac{\sqrt{3}}{2}

Let \phi = \frac{x}{2}.

<h3><u>Case 1 (positive root):</u></h3>

\displaystyle \sin(\phi)=\frac{\sqrt{3}}{2},\\\phi = \frac{\pi}{3}+2\pi k, k\in \mathbb{Z}, \\\\\phi =\frac{2\pi}{3}+2\pi k, k\in \mathbb{Z}

Therefore, we have:

\displaystyle \frac{x}{2}=\phi = \frac{\pi}{3}+2\pi k, k\in \mathbb{Z}, \\\\\frac{x}{2}=\phi =\frac{2\pi}{3}+2\pi k, k\in \mathbb{Z},\\\\\begin{cases}x=\boxed{\frac{2\pi}{3}+2\pi k, k\in \mathbb{Z}},\\x=\boxed{\frac{4\pi}{3}+2\pi k , k \in \mathbb{Z}}\end{cases}

<h3><u>Case 2 (negative root):</u></h3>

\displaystyle \sin(\phi)=-\frac{\sqrt{3}}{2},\\\phi = \frac{4\pi}{3}+2\pi k, k\in \mathbb{Z}, \\\\\phi =\frac{5\pi}{3}+2\pi k, k\in \mathbb{Z},\\\begin{cases}x=\boxed{\frac{8\pi}{3}+2\pi k, k\in \mathbb{Z}},\\x=\boxed{\frac{10\pi}{3}+2\pi k , k \in \mathbb{Z}}\end{cases}

8 0
3 years ago
nina wants to enclose a sqare root garden with fencing. It has an area of 141 square feet. To the nearest foot, how much fencong
leonid [27]

The side length (in feet) of the square that is Nina's garden is √141. The four sides of the square are the same length, so add to ...

... 4×√141 = 4×11.874 ≈ 47.497

Rounding to the nearest foot, we find Nina needs 47 feet of fencing.

_____

The answer digit in the tenths place is less than 5, so we round down to the next lower foot.

Note that if you actually multiply 11.874 by 4, you get 47.496. When you're working a problem like this, you always want to maintain full calculator precision until the end. The number we actually used in that multiplication was 11.874342087... (my calculator carries 32 digits). The number that gets rounded is 47.4973683482.... Enough digits are shown here to show how close the number is to being rounded to 48.

If you have your calculator set to show only two decimal digits, you will get the wrong answer. Your calculator will show you 47.50, which you would appropriately round to 48.

5 0
4 years ago
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