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3 years ago

PLZ HELP

Mathematics

1 answer:

SCORPION-xisa [38]3 years ago

8 0

Answer:

(y + 14)(y - 14)

Step-by-step explanation:

A difference of squares has the general form

a³ - b² and factors as

(a + b)(a - b)

Given

y² - 196

y² = (y)² ⇒ a = y and 196 = 14² ⇒ b = 14

y² - 196

= y² - 14² = (y + 14)(y - 14) ← difference of squares

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The distribution of scores on a recent test closely followed a Normal Distribution with a mean of 22 points and a standard devia

maksim [4K]

6.68% of the students scored at least 19 points on this test while the 85 percentile has a test score of 24.08 points

The z score is used to determine by how many standard deviations the raw score is above or below the mean. The z score is given by:

$z=\frac{x-\mu}{\sigma} \\\\where\ \mu=mean.\sigma=standard\ deviation, x=raw\ score\\\\Given\ that\ mean(\mu)=22,standard \ deviation (\sigma)=2\\\\For\ x>19:\\\\z=\frac{22-19}{2}=1.5$

P(x > 19) = P(z > 1.5) = 1 - P(z < 1.5) = 1 - 0.9332 = 0.0668

6.68% of the students scored at least 19 points on this test

b) 85 percentile corresponds to a z score of 1.04

$z=\frac{x-\mu}{\sigma}\\\\1.04 =\frac{x-22}{2} \\\\2.08=x-22\\\\x=24.08$

The 85 percentile has a test score of 24.08

Find out more at: brainly.com/question/25012216

7 0

3 years ago

Click an item in the list or group of pictures at the bottom of the problem and, holding the button down,drag into the correct p

boyakko [2]

Answer:

$\boxed{\sf \ \ 9x^2-18x-7 \ \ divided \ by \ (3x+1) \ is \ (3x-7) \ }$

Step-by-step explanation:

Hello,

let's find a and b reals so that

$9x^2-18x-7=(3x+1)(ax+b)$

$(3x+1)(ax+b)=3ax^2+(3b+a)x+b$

we identify the terms in $x^2$

9 = 3a

we identify the terms in x

-18 = 3b + a

we identify the constant terms

-7 = b

so ti goes with a = 9/3 = 3, b = -7

so we can write

$9x^2-18x-7=(3x+1)(3x-7)$

so $9x^2-18x-7 \ divided \ by \ (3x+1) \ is \ (3x-7)$

hope this helps

8 0

3 years ago

Please help I need to get this done

hichkok12 [17]

Answer:

Step-by-step explanation:

So you take 7x-92+6x+12=180

And then you get x=20

Plug in 20 for x for <LOM

And you get and you get 48

Hope this helped!!

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3 years ago

The translation shown in the graph moves the figure to the right. What kind of translation is shown?

bulgar [2K]

Answer:

Horizontal

Step-by-step explanation:

8 0

3 years ago

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Plato combining functions mastery test please help

just olya [345]

Answer:

<em>Choice: B.</em>

Step-by-step explanation:

<u>Operations With Functions</u>

Given the functions:

$f(x)=\sqrt[3]{12x+1}+4$

$g(x)=\log(x-3)+6$

The function (g-f)(x) can be obtained by replacing both functions and subtracting them as follows:

$(g-f)(x)= g(x) - f(x)$

$(g-f)(x)= \log(x-3)+6 - (\sqrt[3]{12x+1}+4)$

Operating:

$(g-f)(x)= \log(x-3)+6 - \sqrt[3]{12x+1}-4$

Joining like terms:

$\boxed{(g-f)(x)= \log(x-3) - \sqrt[3]{12x+1}+2}$

Choice: B.

7 0

3 years ago

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