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kirill [66]
4 years ago
11

What is this expression 2(5x-1)+14

Mathematics
2 answers:
baherus [9]4 years ago
7 0
Greetings!

I'm going to assume you want to simplify the expression: 
2(5x-1)+14

First, distribute the parenthesis:
=2(5x-1)+14

=[(5x)(2)-(1)(2)]+14

=(10x-2)+14

Next, you want to combine like terms:
=(10x-2)+14

=10x+12

This is the furthest the expression can be simplified:
\boxed{10x+12}

I hope this helped!
-Benjamin 
SVETLANKA909090 [29]4 years ago
5 0
Hello there!

Your question states: What is this expression 2(5x-1)+14


2 * 5x = 10x

2 * -1 = -2

10x + -2 + 14 = 10x + 12

Your answer is 10x + 12 


Hope I helped!

Let me know if you need anything else!

~ Zoe
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A TV set contains five circuit boards of type A, five of type B, and four of type C. The probability of failing in its first 500
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Answer:

0.903264

Step-by-step explanation:

Given that a TV set contains five circuit boards of type A, five of type B, and four of type C. The probability of failing in its first 5000 hours of use is 0.03 for a type A circuit board, 0.04 for a type B circuit board, and 0.03 for a type C circuit board.

Let A' = the event that A fails, B' =  B fails and C'= C fails.

Probability that no circuit board fails = Prob (A'B'C')

= P(A')P(B')P(C')  (since A,B, C are independent, their complements are independent

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= 0.903264

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3 years ago
How do we get 8 3/5>8 6/7​
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3 years ago
A researcher reports survey results by stating that the standard error of the mean is 25 the population standard deviation is 40
bezimeni [28]

Answer:

a) A sample of 256 was used in this survey.

b) 45.14% probability that the point estimate was within ±15 of the population mean

Step-by-step explanation:

This question is solved using the normal probability distribution and the central limit theorem.

Normal probability distribution

When the distribution is normal, we use 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 normally distributed random variable X, with mean \mu and standard deviation \sigma, the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean \mu and standard deviation s = \frac{\sigma}{\sqrt{n}}.

For a skewed variable, the Central Limit Theorem can also be applied, as long as n is at least 30.

a. How large was the sample used in this survey?

We have that s = 25, \sigma = 400. We want to find n, so:

s = \frac{\sigma}{\sqrt{n}}

25 = \frac{400}{\sqrt{n}}

25\sqrt{n} = 400

\sqrt{n} = \frac{400}{25}

\sqrt{n} = 16

(\sqrt{n})^2 = 16^2[tex][tex]n = 256

A sample of 256 was used in this survey.

b. What is the probability that the point estimate was within ±15 of the population mean?

15 is the bounds with want, 25 is the standard error. So

Z = 15/25 = 0.6 has a pvalue of 0.7257

Z = -15/25 = -0.6 has a pvalue of 0.2743

0.7257 - 0.2743 = 0.4514

45.14% probability that the point estimate was within ±15 of the population mean

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3 years ago
When outliers are removed how does the mean change?
Juliette [100K]
The answer to this question is the mean increases by 3.
6 0
4 years ago
Read 2 more answers
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