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3 years ago

A number x is at least -10. Twice a number y is more than 5/2

1 answer:

8 0

A number x is at least -10: X ≥ -10

X is *at least* -10, meaning that it will either be that or something greater.

Twice a number y is more than 5/2:
2y > 5/2

Two times y is the same as writing 2y. It says that this is greater than 5/2, thus the greater than sign.

Hope this is right and it helps :)

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Using the distributive property to factorize the equation 3x^2+24x=0, you get

Natalka [10]

Answer:

Step-by-step explanation:

$3x^2+24x=0\\factor: 3x(x+8)=0\\x=0, -8$

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3 years ago

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The defect length of a corrosion defect in a pressurized steel pipe is normally distributed with mean value 30 mm and standard d

skelet666 [1.2K]

Answer:

$z=-0.842$

And if we solve for a we got

$a=30 -0.842*7.8=23.432$

So the value of height that separates the bottom 20% of data from the top 80% is 23.432.

Step-by-step explanation:

Let X the random variable that represent the heights of a population, and for this case we know the distribution for X is given by:

$X \sim N(30,7.8)$

Where $\mu=30$ and $\sigma=7.8$

For this part we want to find a value a, such that we satisfy this condition:

$P(X>a)=0.80$ (a)

$P(X$ (b)

As we can see on the figure attached the z value that satisfy the condition with 0.20 of the area on the left and 0.80 of the area on the right it's z=-0.842

If we use condition (b) from previous we have this:

$P(X$

$P(z$

But we know which value of z satisfy the previous equation so then we can do this:

$z=-0.842$

And if we solve for a we got

$a=30 -0.842*7.8=23.432$

So the value of height that separates the bottom 20% of data from the top 80% is 23.432.

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3 years ago

Find the factors of 200m2 - 800n2.

leonid [27]

Answer:

Step-by-step explanation:

200m^2-800n^2=200(m^2-4n^2)

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2 years ago

The length of a car’s skid mark in feet is given by L = 0.046s

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The car's speed was approximately 48.8 mph.</span>

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3 years ago

One number is five more than three times another. If their difference is 35, what is the larger number?

miv72 [106K]

Let x and y be the two unknown numbers. If one number, say x,is 5 more than 3 times another, say y, the equation would be

x = 5 + 3y

When their difference is 35, x-y = 35, since x is the much larger number here. We substitute x to solve for the smaller number, y.

x - y = 35
(5 + 3y) -y = 35
5 +2y = 35
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y = 15

The larger number x would be
x = 5 + 3(15)
x = 50

The answer is 50.

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3 years ago

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