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PIT_PIT [208]
2 years ago
13

Alexa says that the pattern with the expression 5n+3 will not contain the term 82. Is she right? Explain your answer.

Mathematics
1 answer:
kolbaska11 [484]2 years ago
6 0

Answer:

correct

Step-by-step explanation:

She is correct.

For any integer, n, 5n is a multiple of 5.

5n + 3 is 3 more than a multiple of 5.

Start with 82. Subtract 3. Now you have 79.

79 is not a multiple of 5, so 5n + 3 will not contain the term 82.

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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
bulgar [2K]

Answer:

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

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 greater?

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 0.9772

1 - 0.9772 = 0.0228

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

5 0
3 years ago
What is the value of x? enter your answer in the box x= <br>​
zlopas [31]

Answer:

<h3>the horizontal value in a pair of coordinates: how far along the point is. the x coordinate is always written first in an ordered pair of coordinates (x,y) such as (12,5). in this example, the value "12" is the x coordinate. also called abscissa</h3>

Step-by-step explanation:

i hope it helps :)

8 0
3 years ago
The two-way table shows the distribution of book style to genre. Miguel claims that given that the book is paperback (PB) does n
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A) Yes, the two events are independent because P(NF|PB) = P(NF).
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3 years ago
What’s the common denominator for 3/7 and 1/2? Sorry but I don’t know
shepuryov [24]

Answer:

14

Step-by-step explanation:

7 0
3 years ago
Prove how they are congruent. Geometry:SSS
Andrej [43]

The <em>additional information</em> needed to prove that both triangles are congruent by the SSS Congruence Theorem would be: <em>C. HJ ≅ LN</em>

<em>Recall:</em>

  • Based on the Side-Side-Side Congruence Theorem, (SSS), two triangles can be said to be congruent to each other if they have three pairs of congruent sides.

Thus, in the two triangles given, the two triangles has:

  • Two pairs of congruent sides - HI ≅ ML and IJ ≅ MN

Therefore, an <em>additional information</em> needed to prove that both triangles are congruent by the SSS Congruence Theorem would be: <em>C. HJ ≅ LN</em>

<em />

Learn more about SSS Congruence Theorem on:

brainly.com/question/4280133

5 0
2 years ago
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