What is the prime factorization of 28? 74 47 4⋅7 22⋅7 PLEASEEE AWNSERRRRRR

erastovalidia [21]

Answer:

7x + 2y = 24 8x + 2y = 30. Subtract -x = -6 x = 6. Substitute x = 6 into 7x + 2y = 24 7(6)+ 2y = 24 42 + 2y = 24 2y = 24 - 42 2y = -18 y = -9 {6,-9} ...

Step-by-step explanation:

4 0

2 years ago

Mopeds (small motorcycles with an engine capacity below 50cm3) are very popular in Europe because of their mobility, ease of ope

d1i1m1o1n [39]

Answer:

a) 96.64% probability that maximum speed is at most 50 km/h

b) 24.67% probability that maximum speed is at least 48 km/h

c) 86.64% probability that maximum speed differs from the mean value by at most 1.5 standard deviations

Step-by-step explanation:

When the distribution is normal, we use 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 question, we have that:

$\mu = 46.8, \sigma = 1.75$

A. What is the probability that maximum speed is at most 50 km/h?

This is the pvalue of Z when X = 50. So

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

$Z = \frac{50 - 46.8}{1.75}$

$Z = 1.83$

$Z = 1.83$ has a pvalue of 0.9664

96.64% probability that maximum speed is at most 50 km/h.

B. What is the probability that maximum speed is at least 48 km/h?

This is 1 subtracted by the pvalue of Z when X = 48.

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

$Z = \frac{48 - 46.8}{1.75}$

$Z = 0.685$

$Z = 0.685$ has a pvalue of 0.7533

1 - 0.7533 = 0.2467

24.67% probability that maximum speed is at least 48 km/h.

C. What is the probability that maximum speed differs from the mean value by at most 1.5 standard deviations?

Z = 1.5 has a pvalue of 0.9332

Z = -1.5 has a pvalue of 0.0668

0.9332 - 0.0668 = 0.8664

86.64% probability that maximum speed differs from the mean value by at most 1.5 standard deviations

6 0

3 years ago

ryan has a mix of action and sports games for a total of 39 video games his action collection is three more than half his sports

iVinArrow [24]

Answer:

He have 15 action games and 24 sports games.

Step-by-step explanation:

Given:

Ryan has a mix of action and sports games for a total of 39 video games his action collection is three more than half his sports collection.

Now, to find the number of action games and sports games.

Let the sports games be $x.$

As, given his action collection is three more than half his sports collection.

Thus, the action games = $3+\frac{x}{2}$ .

Total number of video games = 39.

So, we set an equation to get the number of action games and sports games:

$x+(3+\frac{x}{2})=39$

$x+3+\frac{x}{2} =39$

Subtracting both sides by 3 we get:

$x+\frac{x}{2} =36$

$\frac{2x+x}{2}=36$

$\frac{3x}{2} =36$

Multiplying both sides by 2 we get:

$3x=72$

Dividing both sides by 3 we get:

$x=24.$

The sports games he have = 24.

Now, to get the action games we substitute the value of $x$ :

$3+\frac{x}{2}$

= $3+\frac{24}{2}$

= $3+12$

= $15.$

The action games he have = 15.

Therefore, he have 15 action games and 24 sports games.

6 0

3 years ago

Brandon buys radio for 43.99 in a state where the sales tax is 7% how much does he pay in taxes?

arlik [135]

43.99 times 7% in decimal form which is 0.07 then it equals 3.0793 and if you want how much it would coat then you add 3.0793 and 43.99 I hope that helped

8 0

3 years ago

Read 2 more answers

What is the apparent solution to the system of equations graphed above?

dimaraw [331]

(0,-1) (0,3) (1,2) (2,1)

4 0

3 years ago

What is the prime factorization of 28? ​ 74 ​ ​ 47 ​ 4⋅7 22⋅7 PLEASEEE AWNSERRRRRR

What is the prime factorization of 28? 74 47 4⋅7 22⋅7 PLEASEEE AWNSERRRRRR