All categories

3 years ago

The equation of the line graphed below could be which of the following? Please help ASAP

Mathematics

1 answer:

igor_vitrenko [27]3 years ago

8 0

Answer:

Step-by-step explanation:

First, you have to decide whether the slope is negative or positive. Since the line is going diagonally upward, it is positive.

That means the answer has to be either 3 or 4.

Next, you have to decide whether the y-intercept is negative or positive, on the graph, you can see that it is positive.

Answer choice 4 is the only equation where both the slope and the y-intercept are positive, so it is the answer.

You might be interested in

<img src="https://tex.z-dn.net/?f=%28%5Csqrt%7B%7D%205xy%5E%7B2%7D%29x%5E%7B4%7D" id="TexFormula1" title="(\sqrt{} 5xy^{2})x^{4}

Ksenya-84 [330]

Answer:

y/5xx^4

Step-by-step explanation:

Simplify the radical by breaking the radicand up into a product of known factors, assuming positive real numbers.

Tips

- the 4 is an exponent

- the dash is the big check thing

Your welcome

my instagram is = itsstephbored

6 0

3 years ago

A high school graduating class is made up of 529 students. There are 155 more girls than boys, How many boys are in the class?

Firdavs [7]

374 boys are in the class
529-155= 374

7 0

3 years ago

The breaking strength of a cable is assumed to be lognormally distributed with a mean of 75 and standard deviation of 20. • If t

son4ous [18]

Answer:

If the load of magnitude 50 is hung from the cable, determine the probability of failure of the cable?

There is a 10.56% probability of failure of the cable.

If the load can take values 30, 50, and 70 with probabilities 0.2, 0.35, and 0.45 respectively, determine the probability of failure of the cable?

There is a 15.87% probability of failure of the cable.

Step-by-step explanation:

Problems of normally distributed samples can be 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.

In this problem, we have that:

The breaking strength of a cable is assumed to be lognormally distributed with a mean of 75 and standard deviation of 20. This means that $\mu = 75, \sigma = 20$ .

If the load of magnitude 50 is hung from the cable, determine the probability of failure of the cable?

This is the pvalue of Z when $X = 50$ .

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

$Z = \frac{50 - 75}{20}$

$Z = -1.25$

$Z = -1.25$ has a pvalue of 0.1056.

There is a 10.56% probability of failure of the cable.

If the load can take values 30, 50, and 70 with probabilities 0.2, 0.35, and 0.45 respectively, determine the probability of failure of the cable?

Now we have that

$X = 0.2(30) + 0.35(50) + 0.45(70) = 55$