Kathy designed a square patio. She made the sides of the patio 15 feet. What is the area of the patio?

Baytown Village Stone Creations is making a custom stone bench. the recommended height for the bench is 18 in. the depth of the

Natalija [7]

Answer:

x = tex]5\frac{\textup{7}}{\textup{8}}\ in[/tex]

Step-by-step explanation:

Given:

Total height of the bench = 18 in

Depth of the stone bench = $3\frac{\textup{3}}{\textup{8}}\ in$ = $\frac{\textup{27}}{\textup{8}}\ in$ = 3.375 in

Measure of stones = $3\frac{\textup{1}}{\textup{2}}\ in$ = $\frac{\textup{7}}{\textup{2}}\ in$ = 3.5 in

measure of another stone = $5\frac{\textup{1}}{\textup{4}}\ in$ = $\frac{\textup{21}}{\textup{4}}\ in$ = 5.25 in

let the height of the third stone be 'x'

Now,

The total height of the bench = depth of bench + Measure of two stones + x

18 = 3.375 + 3.5 + 5.25 + x

or

x = 18 - 12.125

or

x = 5.875 in

or

x = tex]5\frac{\textup{7}}{\textup{8}}\ in[/tex]

6 0

2 years ago

For consumers making purchases online, 60% have devices made by Apple, 85% own a smartphone, and 75% use Venmo. Also, out of the

kompoz [17]

Answer:

The probability that a customer selected at random has an Apple device or own a smartphone or both is 0.94

Step-by-step explanation:

The percentage of costumers that have a device made by Apple = 60%

The percentage of customers that own a smartphone = 85%

The percentage of customers that use Venmo = 80%

The percentage out of the smartphone users that use Venmo = 80%

The probability both independent events A and B occurring = P(A) × P(B)

The exclusive probability of A or B occurring P(A XOR B) = P(A) + P(B) - 2 × P(A ∩ B)

Therefore, the probability of A or B or both occurring is given as follows;

P(A or B or Both) = P(A) + P(B) - 2 × P(A ∩ B) + P(A) × P(B)

Where A represent the percentage of costumers that have a device made by Apple and let B represent the percentage of users that have a smartphone, we have;

P(A or B or Both) = 0.6 + 0.85 - 2×0.6×0.85 + 0.6 × 0.85 = 0.94

Therefore, the probability that a customer selected at random has an Apple device or own a smartphone (or both), P(A or B or Both) = 0.94

5 0

3 years ago

Aye i need sum help wid dis

otez555 [7]

Answer:

angle 2

Step-by-step explanation:

adds up to 180 degrees

8 0

3 years ago

Read 2 more answers

What’s the first two steps to solve the equation 4 (2x - 3) = 1

Paladinen [302]

Answer:

1. Dividing both sides by 4

2. Adding 3 to each side

Step-by-step explanation:

The first step you want to take is to divide both sides by 4 so that you can solve for inside the parenthesis. Next, you should add three to both sides in order to isolate the variable.

4 0

3 years ago

(6+√-64)(3-√-16) Multiply. This is urgent, please explain this to me!

romanna [79]

Answer:

50

Step-by-step explanation:

$\sqrt{-64}$ and $\sqrt{-16}$ can be expressed in complex form, with $\sqrt{-1}$ = i