Which choices are common factors of the numerator and denominator of the fraction below? Check all that apply.

If Tina traveled 1,000 miles in 5 hours on her plane flight to her vacation destination, how fast was the plane traveling? A.200

belka [17]

OK so for this it will be simple
1,000 divided by 200 is 5
so if the plane took 5 hours to do 1,000 miles then the plane was traveling at option A. 200 miles per hour.

4 0

3 years ago

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Determine if each pair of ratios forms a proportion. Show all work! 7/C = 35/60

ahrayia [7]

Answer

C = 12

Explanation

Ratio is a division. For the two ratios to be proportional, then they must be the same after been simplified to their simplest form.

7/C = 35/60

35 has been divided by 5 to get 7. 60 must also be dived by 5 for the ratios to be proportional.

60 ÷ 5 = 12

∴ C = 12.

7/12 = 35/60

3 0

3 years ago

How many ways can the word oddball be arrange

Nady [450]

Answer:

5

Step-by-step explanation:

3 0

3 years ago

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The line AB has midpoint (-2, 4). A has coordinates (3,-2). Find the coordinates of B.

worty [1.4K]

Answer: B(8, -8 )

Step-by-step explanation: The formula for calculating mid - point between two points is given as :

M = ( $\frac{x_{1}+x_{2}}{2}$ , $\frac{y_{1}+y_{2}}{2}$ )

The mid point has been given from the question .

$x_{1}$ = -2

$x_{2}$ = ?

$y_{1}$ = 4

$y_{2}$ = ?

substituting into the formula , we have

(3 , - 2 ) = ( $\frac{-2+x_{2}}{2}$ , $\frac{4+y_{2}}{2}$ )

Equating x -component to x and y component to y , we have

3 = $\frac{-2+x_{2}}{2}$

cross multiplying , we have

6 = -2 + $x_{2}$

Therefore:

$x_{2}$ = 8

Also , equating y component to y , we have

-2 = $\frac{4+y_{2}}{2}$

-4 = 4 + $y_{2}$

$y_{2}$ = -8

Therefore :

$x_{2}$ = 8

$y_{2}$ = -8

check

-2 + 8 / 2 = 3 and

-8 + 4 / 2 = -2

4 0

4 years ago

The operating costs for each machine for one day have an unknown distribution with mean 1610 and standard deviation 136 dollars.

Lelechka [254]

Answer:

The standard deviation for the sample mean distribution is $\sigma_{\bar{X}}=\frac{136}{\sqrt{45}}=\frac{136\sqrt{5}}{15} \approx 20.274$

Step-by-step explanation:

The central limit theorem states that if you have a population with mean μ and standard deviation σ and take sufficiently large random samples from the population then the distribution of the sample means will be approximately normally distributed.

For the random samples we take from the population, we can compute the standard deviation of the sample means:

$\sigma_{\bar{X}}=\frac{\sigma}{\sqrt{n}}$

From the information given

The standard deviation σ = 136 dollars

The sample n = 45

Thus,

$\sigma_{\bar{X}}=\frac{136}{\sqrt{45}}=\frac{136\sqrt{5}}{15} \approx 20.274$

The standard deviation for the sample mean distribution is $\sigma_{\bar{X}}=\frac{136}{\sqrt{45}}=\frac{136\sqrt{5}}{15} \approx 20.274$

7 0

4 years ago