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zloy xaker [14]
3 years ago
12

Evaluate the given expression if x = 25, y = 10, w = 11, and z = 18. (see the image)

Mathematics
2 answers:
hammer [34]3 years ago
8 0

Answer:

D

Step-by-step explanation:

So we have the expression:

(x-y)^2+10wz

And we want to evaluate it when x=25, y=10, w=11, and z=18.

So, substitute these values for the variables:

=(25-10)^2+10(11)(18)

First, subtract within the parentheses:

=(15)^2+10(11)(18)

Square 15:

=225+10(11)(18)

Now, multiply the terms on the right. 10 times 11 is 110:

=225+110(18)

Multiply:

=225+1980

Finally, add:

=2205

So, our answer is D.

And we're done!

Brrunno [24]3 years ago
6 0
The answer will be 2,205
(25-10)^2+10*11*16=2,205

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Natali [406]
5a+2a(5−b)

Distribute:

=5a+(2a)(5)+(2a)(−b)

=5a+10a+−2ab

Combine Like Terms:

=5a+10a+−2ab

=(−2ab)+(5a+10a)

=−2ab+15a

6 0
3 years ago
Read 2 more answers
The heights of North American women are normally distributed with a mean of 64 inches and a standard deviation of 2inches.a. Wha
Charra [1.4K]

Answer:

a)P(X>66)=P(Z>1)=1-P(Z

b)P(\bar X >66)=P(Z>2)=1-P(Z

c) P(\bar X >66)=P(Z>10)=1-P(Z

Step-by-step explanation:

1) Previous concepts

Normal distribution, is a "probability distribution that is symmetric about the mean, showing that data near the mean are more frequent in occurrence than data far from the mean".

The Z-score is "a numerical measurement used in statistics of a value's relationship to the mean (average) of a group of values, measured in terms of standard deviations from the mean".  

The central limit theorem states that "if we have a population with mean μ and standard deviation σ and take sufficiently large random samples from the population with replacement, then the distribution of the sample means will be approximately normally distributed. This will hold true regardless of whether the source population is normal or skewed, provided the sample size is sufficiently large".

2) Part a

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(64,2)  

Where \mu=64 and \sigma=2

We are interested on this probability

P(X>66)

And the best way to solve this problem is using the normal standard distribution and the z score given by:

z=\frac{x-\mu}{\sigma}

If we apply this formula to our probability we got this:

P(X>66)=P(\frac{X-\mu}{\sigma}>\frac{66-\mu}{\sigma})=P(Z>\frac{66-64}{2})=P(Z>1)

And we can find this probability on this way:

P(Z>1)=1-P(Z

3) Part b

From the central limit theorem we know that the distribution for the sample mean \bar X is given by:

\bar X \sim N(\mu, \frac{\sigma}{\sqrt{n}})

P(\bar X >66)=P(Z>\frac{66-64}{\frac{2}{\sqrt{4}}}=2)

And using a calculator, excel or the normal standard table we have that:

P(Z>2)=1-P(Z

4) Part c

P(\bar X >66)=P(Z>\frac{66-64}{\frac{2}{\sqrt{100}}}=10)

And using a calculator, excel or the normal standard table we have that:

P(Z>10)=1-P(Z

3 0
3 years ago
Write the equation of a circle with center (-2, 0) and area = 64 pi
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Answer:

The required equation in standard form is (x+2)^2+y^2=64

Step-by-step explanation:

The equation of a circle with center (h,k) an radius, r units is given by the formula;

(x-h)^2+(y-k)^2=r^2

The given circle has center (-2,0) and radius squared can be calculated from the given area, which is 64\pi

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We substitute these values into the formula to obtain;

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We simplify to get;

(x+2)^2+y^2=64

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Answer:

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Step-by-step explanation:

62 mph

372 divided by 6 = 62

I cant draw on this so you make the model. :)

hope this helps!!!!!!!!!!

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Answer:

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Step-by-step explanation:

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