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Korolek [52]
3 years ago
11

Find the value of x in the solution to the system of equations shown.

Mathematics
1 answer:
ale4655 [162]3 years ago
8 0
<span>y=4x-6
y=-4x+48
</span>4x-6= -4x+48
<span>0x=54
x=o</span>
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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
3 years ago
The half-life of cobalt-60 (used in
Likurg_2 [28]

Answer:

6.25 gm left

Step-by-step explanation:

Find the number of half lives in 26.3 years

   26.3 / 5.26 = 5 half lives

(1/2)  ^5   = 1/32 nd  of the original will be left

   1/32 * 200g = 6.25 gm left

5 0
2 years ago
A prism is dilated by a factor of 1.5. How many times larger is the volume of the resulting prism than the volume of the origina
Temka [501]

Answer:

The answer is 3.375

r = (1.5)^3

= 3.375

4 0
3 years ago
Read 2 more answers
Find the fifth term in the geometric sequence, given the first term and the common ratio. a1=5 and r=-3
Lunna [17]

Answer:

<h2>405</h2>

Step-by-step explanation:

The nth term of a geometric sequence is given by the formula

Tn=ar^n^-^1

Given data

first term  a1=5 and

common ratio r=-3

n= 5

T5= 5*3^5^-^1\\T5= 5*3^4\\T5=5*81\\T5=405

The 5th term is 405

7 0
3 years ago
The following data points represent the number of jars of honey Martha the Bear consumed each day this week. \qquad4,4,5,2,2,3,
ikadub [295]

What are the commas for?  I think this was copied wrong, but I'd say use the # of bears eaten/jars as the (y) variable and the # of days as the (x) variable.

3 0
3 years ago
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