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3 years ago

Y=2x-5, The slope is ............0 0D 22o -50 -3

Mathematics

2 answers:

pogonyaev3 years ago

5 0

Answer: 2

Step-by-step explanation:

The given equation is in slope-intercept form. It is y=mx+b. In this equation, m stands for slope and b stands for y-intercept. Looking back at the equation, we see that in place of m is 2. That tells us that the slope is 2.

Mama L [17]3 years ago

5 0

The slope is 2.

Remember:

• the formula for the equation of the line is
y = mx + b

Where m = slope, b = y-intercept, and x & y are coordinates

So if

y = mx + b
y = 2x - 5

The 2 is in place of the m which is the slope.

In other words, 2 = m = slope

Therefore, slope is 2.

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What is this expression in factored form?<br> x^2+13x+42

Allushta [10]

Answer and explanation:

$x^{2} + 13x + 42$

(x + 6)(x + 7)

List the multiples of 42

42: 1 2 3 6 7 14 21 42

Then see which of the multiples add up to 13

1 x 42 = 42 --> 1 + 42 $\neq$ 13

2 x 21 = 42 --> 2 + 21 $\neq$ 13

3 x 14 = 42 --> 3 + 14 $\neq$ 13

6 x 7 = 42 --> 6 + 7 = 13

4 0

3 years ago

Suppose a batch of metal shafts produced in a manufacturing company have a population standard deviation of 1.3 and a mean diame

lbvjy [14]

Answer:

54.86% probability that the mean diameter of the sample shafts would differ from the population mean by more than 0.1 inches

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 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.

In this problem, we have that:

$\mu = 208, \sigma = 1.3, n = 60, s = \frac{1.3}{\sqrt{60}} = 0.1678$

What is the probability that the mean diameter of the sample shafts would differ from the population mean by more than 0.1 inches

Lesser than 208 - 0.1 = 207.9 or greater than 208 + 0.1 = 208.1. Since the normal distribution is symmetric, these probabilities are equal, so we find one of them and multiply by 2.

Lesser than 207.9.

pvalue of Z when X = 207.9. So

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

By the Central Limit Theorem

$Z = \frac{207.9 - 208}{0.1678}$