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3 years ago

Can you answer number 6 please

Mathematics

1 answer:

bonufazy [111]3 years ago

8 0

Answer:

No, the triangles are not similar.

Step-by-step explanation:

For ΔNOP, since all triangles' angles equal 180°, to find the missing angle you subtract the given angles from 180

180-70=110, 110-58=52 ∠N = 52°

since ΔQRS does not have any angle measures of 58° or 52°, the triangles are not similar becasue similar triangles have congruent angles.

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One third of the sum of a number and four

STatiana [176]

Answer:

$\frac{1}{3} (n+4)$

That is what the expression would be

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3 years ago

Dy/dx when y=x^2e^5x

vekshin1

I believe the problem asks for the slope. This problem can be done by putting y=x^2e^5x into slope intercept form. However, the issue is that there is the variable "e", which does not match the slope intercept formula, y=mx+b. Long explanation short, the slope is $3e^5x^2$

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3 years ago

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3 years ago

Items produced by a manufacturing process are supposed to weigh 90 grams. The manufacturing procon

Annette [7]

Using the normal distribution, it is found that 0.26% of the items will either weigh less than 87 grams or more than 93 grams.

In a normal distribution with mean $\mu$ and standard deviation $\sigma$ , the z-score of a measure X is given by:

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

It 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, which is the percentile of X.

In this problem:

The mean is of 90 grams, hence $\mu = 90$ .

The standard deviation is of 1 gram, hence $\sigma = 1$ .

We want to find the probability of an item differing more than 3 grams from the mean, hence:

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

$Z = \frac{3}{1}$

$Z = 3$

The probability is P(|Z| > 3), which is 2 multiplied by the p-value of Z = -3.

Looking at the z-table, Z = -3 has a p-value of 0.0013.

2 x 0.0013 = 0.0026

0.0026 x 100% = 0.26%

0.26% of the items will either weigh less than 87 grams or more than 93 grams.

For more on the normal distribution, you can check brainly.com/question/24663213

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3 years ago