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3 years ago

What is the result of substituting for y in the bottom equation?

2 answers:

8 0

The answer is the option A, which is: A. x-7=x²+2x-4
The explanation is shown below:
To solve this problem you must apply the proccedure shown below:
1. You have the following system equations given in the problem above:
<span>y=x-7
y=x²+2x-4
2. Therefore, when you substitute for y in the bottom equation, you obtain:
</span>x-7=x²+2x-4

Maru [420]3 years ago

7 0

Answer:

x-7=x²+2x-4

Step-by-step explanation:

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Simplify this algebraic expression completely. <br> 6x – 4(x + 3)

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6x - 4(x + 3)
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2 years ago

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Solve the following expression when<br> t = 3 and s = 2<br> (12t) = (6s)<br> Enter

larisa86 [58]

From the solution of the expression, it can be seen that s = 6 when t = 3 while t = 1 when s = 2.

<h3>How do we solve a mathematical expression?</h3>

Given:

(12t) = (6s) ........................ (1)

When t = 3, we can solve for s from the expression in equation (1) by substituting t = 3 into the equation as follows:

12 * 3 = 6s

36 = 6s

s = 36 / 6

s = 6

When s = 2, we can solve for t from the expression in equation (1) by substituting s = 2 into the equation as follows:

12t = 6 * 2

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t = 12 / 12

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Learn more about mathematical expression here: brainly.com/question/12401681.

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2 years ago

A population has a mean of 200 and a standard deviation of 50. Suppose a sample of size 100 is selected and x is used to estimat

zmey [24]

Answer:

a) 0.6426 = 64.26% probability that the sample mean will be within +/- 5 of the population mean.

b) 0.9544 = 95.44% probability that the sample mean will be within +/- 10 of the population mean.

Step-by-step explanation:

To solve this question, we need to understand 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 $s = \frac{\sigma}{\sqrt{n}}$ .