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2 years ago

Which of the following shows the additive inverse property? 9 + 0 = 9 9 + 1 = 10 9 + (-1) = 8 9 + (-9) = 0

Mathematics

1 answer:

UkoKoshka [18]2 years ago

5 0

9+(-9)=0 you are showing the opposite sign of the number that added together would give you the sum of zero.

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If IQ scores are normally distributed with a mean of 100 and a standard deviation of 5, what is the probability that a person se

notsponge [240]

Answer:

2.28% probability that a person selected at random will have an IQ of 110 or higher

Step-by-step explanation:

Problems of normally distributed samples are 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 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:

$\mu = 100, \sigma = 5$

What is the probability that a person selected at random will have an IQ of 110 or higher?

This is 1 subtracted by the pvalue of Z when X = 110. So

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

$Z = \frac{110 - 100}{5}$

$Z = 2$

$Z = 2$ has a pvalue of 0.0228

2.28% probability that a person selected at random will have an IQ of 110 or higher

5 0

2 years ago

92.96 as a fraction

nikklg [1K]

To change a decimal to a fraction you need to first place the decimal over 1. Next, for each number behind the decimal, you will multiply by a multiple of 10. Since there are 2 numbers behind the decimal, it's 100. Therefore,
92.96 x 100 = 9296
1 x 100= 100

Your new fraction is 9296/100. Now we simplify it. I'm going by 2's so it may take a bit.
Simplifying it twice by 2's your answer would be:

2324/25

3 0

2 years ago

Given the function f(x)=x^2+2x+1, find each value of the function

Paha777 [63]

Answer:

1 9/16

Step-by-step explanation:

F(1/4) means u plug in 1/4 for x

so the equation would be

f(1/4)=1/4^2+2 1/4 + 1

f(1/4)=1/16+1/2+1

f(1/4)= 9/16 +1

f(1/4)= 1 9/16

its not nine teen its one and 9 over 16 just clarification

5 0

2 years ago

Solve simultaneously <br> Y=x-2<br> Y^2=x

omeli [17]

$\left \{ {{y=x-2} \atop {\ y^2=x}} \right. \\ \\ \\
y=x-2 \\
y^2=(x-2)^2=x^2-4x+4 \\ \\ \\
y^2=x \\
x^2-4x+4=x \\
x^2-5x+4=0$

$a=1 \\ b=-5 \\ c=4 \\ \\ x=\frac{-(-5) \pm \sqrt{(-5)^2 - 4 \cdot 1 \cdot 4}}{2 \cdot 1}=\frac{5 \pm \sqrt{25 - 16}}{2}=\frac{5 \pm \sqrt{9}}{2}=\frac{5 \pm 3}{2} \\ \\
x=\frac{5+3}{2} \ \lor \ x=\frac{5-3}{2} \\ \\
x=\frac{8}{2} \ \lor \ x=\frac{2}{2} \\ \\
x=4 \ \lor \ x=1$

$y=4-2 \ \lor \ y=1-2 \\
y=2 \ \lor \ y=-1 \\ \\ \\
 \left \{ {{x=4} \atop {y=2}} \right. \ \lor \ \left \{ {{x=1} \atop {y=-1}} \right.$

8 0

2 years ago

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I NEED HELP ASAP!!!!!

STALIN [3.7K]

Answer: 24 C is your answer

Step-by-step explanation:

5 0

2 years ago

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