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Over [174]
4 years ago
9

Factor the polynomial below. x^2 + 15 + 56

Mathematics
2 answers:
emmasim [6.3K]4 years ago
8 0

Answer:

Step-by-step explanation:

x²+15x+56 =(x+7)(x+8)

bazaltina [42]4 years ago
3 0

Answer:

x=-7,     x=-8

Step-by-step explanation:

x^2 +15x +56=0

look for two numbers that their sum is 15 and their product =56

(x+7)(x+8)=0

x=-7,     x=-8

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Find the indicated IQ score. The graph depicts IQ scores of adults, and those scores are normally distributed with a mean of 100
Taya2010 [7]

Answer:

IQ score of 102.55

Step-by-step explanation:

Problems of normally distributed samples can be solved using the z-score formula.

In a set with mean \mu and standard deviation \sigma, the zscore of a measure X is given by:

Z = \frac{X - \mu}{\sigma}

The Z-score, measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value, which is also the shaded area under the curve, is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.

In this problem, we have that:

\mu = 100, \sigma = 15

The shaded area under the curve is 0.5675.

This means that Z has a pvalue of 0.5675.

So, we have to find X when Z = 0.17.

Z = \frac{X - \mu}{\sigma}

0.17 = \frac{X - 100}{15}

X - 100 = 15*0.17

X = 102.55

IQ score of 102.55

8 0
3 years ago
Which ordered pair is the solution to the system of equations? {x+3y=-12, y= 1/3x-6?
Julli [10]

For this, I'll be using the substitution method. Since y = 1/3x - 6, replace the y variable in the first equation with 1/3x - 6 and solve for x:

x+3(\frac{1}{3}x-6)=-12\\ x+x-18=-12\\ 2x-18=-12\\ 2x=6\\ x=3

Now that we have the value of x, plug it into either equation to solve for y:

3+3y=-12\\ 3y=-15\\ y=-5\\ \\ y=\frac{1}{3}*3-6\\ y=1-6\\ y=-5

<h3><u>In short, the solution to this equation is (3,-5).</u></h3>
5 0
3 years ago
Kasey creates comedy sketch videos and posts them on a popular video website
IceJOKER [234]
Good to hear.dose he have a YouTube account?
3 0
3 years ago
What is 6x298 in friendly numbers?
miv72 [106K]

Answer:

The value of 6 * 298 is 1788 and the calculations can be provided as follows:

6 * 298 = 6 * (200 + 90 + 8)




4 0
3 years ago
I need to know if this equation would be true or false​
Sati [7]

Answer:

False

Step-by-step explanation:

85 + (-10) is the same as 85 - 10. 85 - 10 is 75, not 95.

5 0
4 years ago
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