Which equation is a point slope form equation for line AB?

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

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

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

$Z = \frac{55 - 75}{20}$

$Z = -1$

$Z = -1$ has a pvalue of 0.1587.

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

3 0

3 years ago

-4^2-17

Irina18 [472]

Answer:

Step-by-step explanation:

-4 is really -1 * 4

-4² = -1 * 4²

-4² = -1 * 16

-4² = -16

Use parenthesis to square

(-1 * 4)² = (-4)²

(-4)² = 16

5 0

3 years ago

100 points<br> (algebra one)<br> describe and correct the error in comparing the graphs

Pepsi [2]

Answer:

The error made is that the graph of $y=x^{2} +3$ is a vertical translation up by 3, instead of down.

Step-by-step explanation:

Exponential functions, when they are graphed, use the function $f(x)=a(x-h)^{2} +k$ .

In the equation, k expresses how much the graph shifts vertically. In this case, the function shifts vertically up by 3 from the parent function, $y=x^{2}$ . So, the translation is actually 3 units up compared to the graph of $y=x^{2}$ .

Hope this helps and have an amazing day!! ❤

3 0

3 years ago

The greater of two numbers is six more

pickupchik [31]

Answer:

Let's begin by writing the mathematical equations given by the sentences.

Let X = smaller number

Let Y = larger number

The first sentence tells us

X + Y = 38

The second sentence tells us

X = Y/3 + 6

Since you weren't given a specific method to use, you can use either the substitution method or the elimination(addition) method, whichever works best for you.

Since the 2nd equation has the X isolated, I'm going to isolate the X in the first equation,

X = 38 - Y

Since both equations are equal to X, I can set them equal to one another and solve for Y.

Y/3 + 6 = 38 - Y

Y + 18 = 114 - 3Y

4Y = 96

Y = 24

Then use either of the two original equations to solve for X

X + Y = 38

X + 24 = 38

X = 14

Step-by-step explanation:

PLS MAKE ME AS BRAINLIST

5 0

3 years ago

What is the surface area of the triangular prism? A. 13 in.2 B. 36 in.2 C. 78 in.2 D. 84 in.2

NISA [10]

Answer :36in2

example:
my math teacher told me

4 0

3 years ago