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3 years ago

14

Twice a number decreased by 11 is -23

1 answer:

strojnjashka [21]3 years ago

7 0

Twice a number decreased by 11 is -23

Let the number be x

So we get the equation

2x -11 = -23

Add 11 to both sides

2x = -12

Divide both sides by 2

x = -6

So the number is -6

Negative 6

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Find the area of this figure

Sati [7]

Answer:

164

Step-by-step explanation:

5×8×2=80

7×12=84

84+80=164

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3 years ago

Suppose x is a normally distributed random variable with a mean of 22 and a standard deviation of 5. The probability that x is l

MaRussiya [10]

Answer:

The probability that x is less than 9.7 is 0.0069 = 0.69%

Step-by-step explanation:

Problems of normally distributed samples are 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:

$\mu = 22, \sigma = 5$

The probability that x is less than 9.7 is _____.

This is the pvalue of Z when X = 9.7. So

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

$Z = \frac{9.7 - 22}{5}$

$Z = -2.46$

$Z = -2.46$ has a pvalue of 0.0069

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4 years ago

What is the value of a in the polynomial

Alexandra [31]

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Step-by-step explanation:

We have the following expression:

$(y-4)(y^2 +4y +16)$

To find the value of the coefficient "a" you must use the distributive property to multiply the expression:

$(y-4)(y^2 +4y +16)$

until you transform it to the form:

$y^3 +4y^2 +ay -4y^2 -ay-64$

Then we have

$(y-4)(y^2 +4y +16)\\\\(y^3 +4y^2 +16y -4y^2 -16y-64)\\\\$

Therefore the value of a in the polynomial is 16

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3 years ago

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luda_lava [24]

Step-by-step explanation:

So first off we want to find out how many miles Nina can ride in 3,600

For this we have to convert 63,360 feet into miles

If there are 5,280 feet in one mile than we need to see how many times 5,280 goes in to 63,360

divide 63,360 by 5,280: you get 12

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Ostrovityanka [42]

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