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2 years ago

8th one answer this pls

Mathematics

1 answer:

GuDViN [60]2 years ago

8 0

Answer:

terminating

Step-by-step explanation:

if the given fraction is terminating then prime factors of denominator should be 2^n x 5^m where m and n are whole number

5=1x5=2^0x5^1

so it is of form 2^nx5^m

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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

1.<br> Slope = (7,-1) and 12,-2)

Evgen [1.6K]

Answer: -1/5

Step-by-step explanation:

the equation to solve slope with two points is the y coordinate in the second point minus the y coordinate in the first point over the x coordinate in the second point minus the x coordinate in the first point so this one would be

(-2 - -1)/(12-7)

On the top you subtract a negative it becomes a positive and you get -1/5

6 0

2 years ago

A salsa recipe uses green pepper, onion, and tomato in the extended ration 1 : 3 : 9. How many cups of onion are needed to make

Elanso [62]

Let x be a variable.

Using the ratio and the given number of 117, we can create the following formula:

1x + 3x + 9x = 117, where 3x is the cups of onion

Simplify this equation.

13x = 117

Divide both sides by 13

x = 9

We want to solve for 3x, so multiply both sides by 3

3x = 27

As I started earlier, 3x is how many cups of onions is needed; thus, 27 is our answer. Hope this helps! :)

7 0

3 years ago

Read 2 more answers

Parallelograms are four sided figures that have two pairs of opposite, parallel sides. Quadrilateral ABCD

otez555 [7]

Answer:

(A) It would have to lie on AB because DC would rotate halfway around M. B would lie on D and A would lie on C.

(B) AD would lie on the BC line. D would lie on B and A would lie on C.

8 0

2 years ago

163 A certain pet store has only cats and dogs. The ratio of the number of cats to the number of dogs in the pet store is 2:3. 1

rusak2 [61]

Answer:120 animals are in the pet store

Step-by-step explanation:

4 0

3 years ago

8th one answer this pls​

8th one answer this pls