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lyudmila [28]
3 years ago
10

If x =7/8 cm, y =1/4 cm, and z = 5/8 cm, what is the volume of the rectangular prism above?

Mathematics
2 answers:
My name is Ann [436]3 years ago
7 0

Answer:

35/256

Step-by-step explanation:

Assuming x,y, and z are the sides of the prism, then you have to multiply all the sides to the the volume.

Do that, and you get 35/256

I hope this helped, and please mark this as brainliest!

kap26 [50]3 years ago
4 0
You would just have to multiply them together since the formula is v = lwh.

(xyz)

(might be wrong)
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If the scale is 2inches = 5miles. What is the amount of miles in 4 inches?
LUCKY_DIMON [66]

Answer:

D. 10 miles

Step-by-step explanation:

As you know 2 inches=5miles so if you add 2 more inches that is equal to 5 miles you will have to add 5 and 5 which equal 10 miles.

6 0
2 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

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
There are 7 7/8 cups of skittles in a Jar. If 2 1/4 cups are used for a party, how many skittes are left in the jar?
maw [93]
2 1/4 = 2 2/8. So, simply subtract 7 7/8 - 2 2/8 to get your final answer of 5 5/8
4 0
3 years ago
From the quadratic equation 3x² + X - 5 = 0, find alpha square plus beta square​
timama [110]

Answer:

  α² +β² = 3 4/9

Step-by-step explanation:

Assuming α and β are solutions to the equation, it can be factored as ...

  (x -α)(x -β) = 0

Expanding this, we get ...

  x² -(α +β)x +αβ = 0

Dividing the original equation by 3, we find ...

  x² +(1/3)x -5/3 ≡ x² -(α+β)x +αβ   ⇒   (α+β) = -1/3, αβ = -5/3

We know that the square (α+β)² can be expanded to ...

  (α +β)² = α² +β² +2αβ

  α² +β² = (α +β)² -2αβ . . . . . . subtract 2αβ

Substituting the values for (α+β) and αβ, we find the desired expression is ...

  α² +β² = (-1/3)² -2(-5/3) = 1/9 +10/3 = 31/9

  α² +β² = 3 4/9

4 0
2 years ago
Which choice is equivalent to the product below?<br> Square root 2 • square root 3 • square root 8
SIZIF [17.4K]
That would be simplified into

1.41 • 1.73 • 2.82 = 6.9

i don’t know what the choices are bc you didn’t put them but hopefully this does someone some good <3
7 0
3 years ago
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