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3 years ago

The area of a rectangle is 53.3 in2. If the width is 6.5 in, what is the perimeter of the rectangle?

1 answer:

6 0

For this question, the formula for finding area will be used. This formula is area = width * height. We'll plug the values given to us in to find the missing height. 53.3 = 6.5 * h. Then we solve for h. h =8.2. After that, we can solve perimeter using the correct equation. width*2 + height*2 = Perimeter. 6.5*2 + 8.2*2 = P, 13 + 16.4 = P, 29.4 = P. So the answer is 29.4.

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A pair of fair dice is cast. Let Edenote the event that the number landing uppermost on the first die is a 1 and let Fdenote the

iris [78.8K]

Answer:

They are not independent

Step-by-step explanation:

Given

E = Occurrence of 1 on first die

F = Sum of the uppermost occurrence in both die is 5

Required

Are E and F independent

First, we need to list the sample space of a roll of a die

$Event\ 1 = \{1,2,3,4,5,6\}$

Next, we list out the sample space of F

$Event\ 2 = \{2,3,4,5,6,7,3,4,5,6,7,8,4,5,\$

$6,7,8,9,5,6,7,8,9,10,6,7,8,9,10,11,7,8,9,10,11,12\}$

In (1): the sample space of E is:

$E = \{1\}$

So:

$P(E) = \frac{n(E)}{n(Event\ 1)}$

$P(E) = \frac{1}{6}$

In (2): the sample space of F is:

$F = \{5,5,5,5\}$

So:

$P(F) = \frac{n(F)}{n(Event\ 2)}$

$P(F) =\frac{4}{36}$

$P(F) =\frac{1}{9}$

For E and F to be independent:

$P(E\ and\ F) = P(E) * P(F)$

Substitute values for P(E) and P(F)

This gives:

$P(E\ and\ F) = \frac{1}{6} * \frac{1}{9}$

$P(E\ and\ F) = \frac{1}{54}$

However, the actual value of P(E and F) is 0.

This is so because $E = \{1\}$ and $F = \{5,5,5,5\}$ have 0 common elements:

So:

$P(E\ and\ F) = 0$

Compare $P(E\ and\ F) = \frac{1}{54}$ and $P(E\ and\ F) = 0$ .

These values are not equal.

Hence: the two events are not independent

6 0

3 years ago

Salinity is a measure of the salt content of a body of water. One researcher measures the salinity of the Indian Ocean as 3.2%.

frosja888 [35]

Divide each percentage to find a multiplier:

34/3.2 = 10.625

The Dead Sea is 10.625 times saltier than the Indian Ocean.

So if Indian Ocean bucket = 56 grams of salt

Multiply that by our multiplier.

56 * 10.625 = 595 grams

The answer is 595 grams

6 0

3 years ago

Read 2 more answers

21 ÷ 30 equals what?

sweet [91]

The answer should be .7

6 0

3 years ago

Read 2 more answers

Help help i need help anyone ?

REY [17]

-9-6i/-3-2i
Factor -3 out of expression
-3(3+2i)/-3-2i
Then extract the negative sign out of the expression
-3(3+2i)/-(3+2i)
Reduce the fraction with -(3+2i)
-3/-1
-3*-1=3
Hope this helps

3 0

3 years ago

2.5 (8.6 ÷ 2 – 1.8)

Alina [70]

Answer:

6.25 is the answer

Step-by-step explanation:

work in the () first

2.5(8.6÷2-1.8)

2.5(2.5)

the multiply the two numbers and get 6.25

hope this helps

7 0

3 years ago

Read 2 more answers