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klasskru [66]
3 years ago
11

Write an equivalent equation that does not contain parentheses for 3(k-x) = -3x-9

Mathematics
1 answer:
amm18123 years ago
8 0
3(k-x)= -3x-9
3k - 3x = -3x - 9 ← equation without parentheses
3k - 3x + 3x = - 9
3k = -9
k = -9/3 
k = -3  ← simplest form
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Can someone help me with this it’s for science and it’s due tomorrow
8_murik_8 [283]

Answer:

Hoping someone else can answer with more confidence, but here's what I have:

on the left hand side:

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on the right hand side:

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6 0
2 years ago
"A study of the amount of time it takes a mechanic to rebuild the transmission for a 2005 Chevrolet Cavalier shows that the mean
Arada [10]

Answer:

85.31% probability that their mean rebuild time exceeds 8.1 hours.

Step-by-step explanation:

To solve this question, we need to understand the normal probability distribution and the central limit theorem.

Normal probability distribution:

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.

Central limit theorem:

The Central Limit Theorem estabilishes that, for a random variable X, with mean \mu and standard deviation \sigma, the sample means with size n of at least 30 can be approximated to a normal distribution with mean \mu and standard deviation s = \frac{\sigma}{\sqrt{n}}

In this problem, we have that:

\mu = 8.4, \sigma = 1.8, n = 40, s = \frac{1.8}{\sqrt{40}} = 0.2846

If 40 mechanics are randomly selected, find the probability that their mean rebuild time exceeds 8.1 hours.

This is 1 subtracted by the pvalue of Z when X = 8.1. So

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

By the Central Limit Theorem

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

Z = \frac{8.1 - 8.4}{0.2846}

Z = -1.05

Z = -1.05 has a pvalue of 0.1469

1 - 0.1469 = 0.8531

85.31% probability that their mean rebuild time exceeds 8.1 hours.

4 0
3 years ago
Write an equation of the line that passes through the points (-9, 4) and (-10,8) in
MrRissso [65]

Answer:

y = -4x - 32

Step-by-step explanation:

First, find the slope using rise over run (y2 - y1) / (x2 - x1)

Plug in the points:

(y2 - y1) / (x2 - x1)

(8 - 4) / (-10 + 9)

4 / -1

= -4

So, the slope is -4. Plug in the slope and a point into y = mx + b, and solve for b:

y = mx + b

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Then, plug in the slope and y intercept into y = mx + b

y = -4x - 32 is the equation of the line

4 0
2 years ago
Read 2 more answers
Find the prime factorization of each number using exponents 36
Alex787 [66]

Answer:

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Step-by-step explanation:

36 = 2 × 2 × 3 × 3 = 2² × 3²

5 0
3 years ago
What's 4.50+4.50+2.39+2.39+1.99? What's the answer minus 25?? pls halp meh '-'
Anna [14]
4.50+4.50=9.00=9
+
2.39+2.39=4.78
+
1.99
=
15.77

15.77-25=-9.23
7 0
3 years ago
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