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2 years ago

1. Simplify by using the distributive property: 4 (2x +9)

Mathematics

1 answer:

ki77a [65]2 years ago

8 0

Answer:

8x+36

Step-by-step explanation:

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Evaluate the equation below

meriva

Answer:

-2

Step-by-step explanation:

2(x-4)+3x-x² for x = 3

is : 2(3-4) +3(3)-3² = -2 ... answer : B

3 0

3 years ago

Suppose speeds of vehicles traveling on a highway have an unknown distribution with mean 63 and standard deviation 4 miles per h

Mashutka [201]

Answer:

The standard deviation for the sample mean distribution=0.603

Step-by-step explanation:

We are given that

Mean, $\mu=63$

Standard deviation, $\sigma=4$

n=44

We have to find the standard deviation for the sample mean distribution using Central Limit Theorem for Means.

Standard deviation for the sample mean distribution

$\sigma_x=\frac{\sigma}{\sqrt{n}}$

Using the formula

$\sigma_x=\frac{4}{\sqrt{44}}$

$\sigma_x=\frac{4}{\sqrt{2\times 2\times 11}}$

$\sigma_x=\frac{4}{2\sqrt{11}}$

$\sigma_x=\frac{2}{\sqrt{11}}$

$\sigma_x=0.603$

Hence, the standard deviation for the sample mean distribution=0.603

6 0

2 years ago

The area of a rectangular wall of a barn is 85 square feet. Its length is 12 feet longer than the width. Find the length and wid

MaRussiya [10]

Answer:

Length = 17 feet, Width = 5 feet

Step-by-step explanation:

Given:

The area of a rectangular wall of a barn is 85 square feet.

Its length is 12 feet longer than the width.

Question asked:

Find the length and width of the wall of the barn.

Solution:

Let width of a rectangular wall of a barn = $x$

<u>As length is 12 feet longer than the width.</u>

Length of a rectangular wall of a barn = $12+x$

As we know:

$Area\ of\ rectangle=length\times breadth$

$85=(12+x)x\\\\85=12x+x^{2} \\$

Subtracting both sides by 85

$x^{2} +12x-85=0\\x^{2} +17x-5x-85=0\\Taking\ common\\x+(x+17)-5x(x+17)=0\\(x+17)(x-5)=0\\x+17=0, x-5=0\\x=-17,x=5$

As width can never be in negative, hence width of a rectangular wall of a barn = $x$ = 5 feet

Length of a rectangular wall of a barn = $12+x=12+5=17\ feet$

Therefore, length and width of the wall of the barn is 17 feet and 5 feet respectively.

4 0

3 years ago

In a game using a spinner with five equal parts numbered 1 to 5, a contestant wins when the spinner lands on an odd number. Is t

gayaneshka [121]

Answer:

A. yes

Step-by-step explanation:

The contestant has a 60% chance of winning because they could either spin 1, 3, or 5.

However, unless there's another player who can only spin evens, it's not fair, because the contestant who spins odds has a 60% chance, while this player will only have a 40% chance.

3 0

2 years ago

terrance finished a word search in 3/4 the time it took frank. Charlotte finished the word search in 2/3 the time it took terren

Juliette [100K]

Divide 32 into 3 then just find 2 of the 3rds

5 0

3 years ago

1. Simplify by using the distributive property: 4 (2x +9)​

1. Simplify by using the distributive property: 4 (2x +9)