In a recent survey of 1,700 Game Stop customers 884 of them responed that they play video games on their

David is building a rectangular fence around his garden. The short side is 15 meters and the long side is double that amount. Wh

Elenna [48]

Solution:

Side₁ (Short side) = 15 meters
Side₂ (Longer side) = 2(15) = 30 meters
Perimeter = 2L + 2B

<u>Substituting the values into the expression:</u>

2L + 2B
=> 2(15) + 2(30)
=> 30 + 60
=> 90 m

The perimeter of the garden fence is 90 meters.

8 0

3 years ago

Fina Question 1. Write the equation of the line that goes through the points (-2,1) and (4,2)

SpyIntel [72]

If we have two coordinates that are in the line we can find the slope with this equation:

$m=\frac{y_2-y_1}{x_2-x_1}$

So now we replace the coordinates so:

$\begin{gathered} m=\frac{2-1}{4-(-2)} \\ m=\frac{1}{6} \end{gathered}$

Now with the slope and any point we can find the intercept in the y axis by replacing x=0 so:

$\begin{gathered} \frac{1}{6}=\frac{y-2}{0-4} \\ -\frac{4}{6}=y-2 \\ -\frac{2}{3}+\frac{6}{3}=y \\ \frac{4}{3}=y \end{gathered}$

So the equation is:

$y=\frac{1}{6}x+\frac{4}{3}$

7 0

1 year ago

My final balance after 48 months was $896.00. if i bring back originally put$800.00 into the bank, what was the interest rate?

fomenos

The interest rate is $96.00.

3 0

4 years ago

Candice is decorating a ballroom ceiling with garland. The width of the rectangular ceiling is 30 meters and the diagonal distan

Vsevolod [243]

Answer:

16 meters

Step-by-step explanation:

Candice is decorating a ballroom ceiling with garland. The width of the rectangular ceiling is 30 meters and the diagonal distance from one corner to the opposite corner is 34 meters. How much garland will Candice need for the length of the ceiling

The formula to solve for the above question is:

Diagonal² = Width² + Length²

34² = 30² + L²

Collect like terms

L² = 34² - 30²

L = √34² - 30²

L = √(256)

L = 16 meters

Therefore, the length of the ceiling is 16 meters

5 0

3 years ago

Question Help Suppose that the lifetimes of light bulbs are approximately normally distributed, with a mean of 5656 hours and a

koban [17]

Answer:

a)3.438% of the light bulbs will last more than 6262 hours.

b)11.31% of the light bulbs will last 5252 hours or less.

c) 23.655% of the light bulbs are going to last between 5858 and 6262 hours.

d) 0.12% of the light bulbs will last 4646 hours or less.

Step-by-step explanation:

Normally distributed problems can be solved by the z-score formula:

On a normaly distributed set with mean $\mu$ and standard deviation $\sigma$ , the z-score of a value X is given by:

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

After we find the value of Z, we look into the z-score table and find the equivalent p-value of this score. This is the probability that a score will be LOWER than the value of X.

In this problem, we have that:

The lifetimes of light bulbs are approximately normally distributed, with a mean of 5656 hours and a standard deviation of 333.3 hours.

So $\mu = 5656, \sigma = 333.3$

(a) What proportion of light bulbs will last more than 6262 hours?

The pvalue of the z-score of $X = 6262$ is the proportion of light bulbs that will last less than 6262. Subtracting 100% by this value, we find the proportion of light bulbs that will last more than 6262 hours.