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4 years ago

Use the expression (a + b)(c - d) + 9e to find an example of each kind of expression

Mathematics

1 answer:

Minchanka [31]4 years ago

7 0

Answer:

Difference: c-d

variable: a, b, c, d, e.

coefficient: 9

Step-by-step explanation:

Difference is c - d

Variables can be dependent or independent: a, b, c, d and d

The coefficient is a number or other known factor (a constant) by which another number or factor (a variable) is multiplied: 9

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14. There are 12 marbles in a bag. Of these, Four of them are blue and the rest are green. You reach into the bag and take out t

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Answer:

24?

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3 years ago

Determine which of the following are functions. Select all that apply.

Murljashka [212]

Answer:

(4x-32),-2,1-13)6

Step-by-step explanation:

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3 years ago

A man 6 feet tall casts a shadow that is 11 feet long. A building casts a shadow of 139 feet long. The building is tall. Round y

dmitriy555 [2]

Given:

Height of man = 6 ft

Height of man's shadow = 11 feet

Height of building's shadow = 139 feet

To find:

The height of the building.

Solution:

We know that the heights of the objects and there shadows are always proportional.

$\dfrac{\text{Height of man}}{\text{Height of man's shadow}}=\dfrac{\text{Height of the building}}{\text{Height of building's shadow}}$

Let x be the height of the building.

$\dfrac{6}{11}=\dfrac{x}{139}$

Multiply both sides by 139.

$\dfrac{6}{11}\times 139=x$

$\dfrac{834}{11}=x$

$75.8181...=x$

$x\approx 75.8$

Therefore, the building is 75.8 feet long.

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3 years ago

About 10% of people in the United States are left handed. Suppose we take a sample of 120 U.S. Residents, and let X = the number

olganol [36]

Answer:

1) $E(X) = np = 120*0.1 =12$

$SD(X) = \sqrt{np(1-p)}= \sqrt{120*0.1*(1-0.1)} =3.286$

For this case we can interpret that the expected variation around the mean is about 3.3 people approximated

2) $P(X\geq 16)$

And we can use the normal approximation given by:

$X \sim N(12, \sigma =3.286)$

And we can use the z score formula given by:

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

And if we find the z score for 16 we got:

$z = \frac{16-12}{3.286}= 1.217$

And we can find this probability using the normal standard distribution or excel and we got:

$P(Z>1.217) = 0.112$

3) For this case we can conclude that the probability to find 16 or more individuals left handed in a sample of 120 is about 0.112 or 11.2%

Step-by-step explanation:

Let X represent the random variable for the number of residents who are left handed

And for this case we can model this variable with this distirbution:

$X\sim Binom(n= 120 , p =0.1)$

Part 1

The mean is given by:

$E(X) = np = 120*0.1 =12$

And the deviation would be:

$SD(X) = \sqrt{np(1-p)}= \sqrt{120*0.1*(1-0.1)} =3.286$

For this case we can interpret that the expected variation around the mean is about 3.3 people approximated

Part 2

We want to calculate this probability:

$P(X\geq 16)$

And we can use the normal approximation given by:

$X \sim N(12, \sigma =3.286)$

And we can use the z score formula given by:

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

And if we find the z score for 16 we got:

$z = \frac{16-12}{3.286}= 1.217$

And we can find this probability using the normal standard distribution or excel and we got:

$P(Z>1.217) = 0.112$

Part 3

For this case we can conclude that the probability to find 16 or more individuals left handed in a sample of 120 is about 0.112 or 11.2%

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3 years ago

Solve each system of linear equations by substitution.<br> x+2y=6<br> 2x+4y=12

son4ous [18]

Answer:

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3 years ago