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mario62 [17]
2 years ago
5

What value of y satisfies the system of equations: y=-6x+2 y=x^2+11

Mathematics
1 answer:
Nataly [62]2 years ago
8 0

Answer:

The value of y that satisfies the system of equations is 20

Step-by-step explanation:

we have

y=-6x+2

y=x^{2}+11

we know that

The solution of the system of equations is the intersection point both graphs

using a graphing tool

the intersection point is (-3,20)

see the attached figure

therefore

The value of y that satisfies the system of equations is 20

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EastWind [94]

Using the normal distribution, it is found that 7.64% of of sample means are greater than 8.8 hours.

<h3>Normal Probability Distribution</h3>

The z-score of a measure X of a normally distributed variable with mean \mu and standard deviation \sigma is given by:

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

  • The z-score measures how many standard deviations the measure is above or below the mean.
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The parameters are given as follows:

\mu = 8.4, \sigma = 1.77, n = 40, s = \frac{1.77}{\sqrt{40}} = 0.2799

The proportion of sample means greater than 8.8 hours is <u>one subtracted by the p-value of Z when X = 8.8</u>, hence:

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

By the Central Limit Theorem

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

Z = \frac{8.8 - 8.4}{0.2799}

Z = 1.43

Z = 1.43 has a p-value of 0.9236.

1 - 0.9236 = 0.0764.

7.64% of of sample means are greater than 8.8 hours.

More can be learned about the normal distribution at brainly.com/question/25800303

#SPJ1

6 0
2 years ago
Log (x + 20) – log (x + 1) = log 18<br> - Rewrite the given equation without logarithms.​
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(x+20)-(x+1)=18
x+20-x-1=18
19=18
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Table-no x values repeat

Step-by-step explanation:

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Check the picture below.

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