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3 years ago

Triangle ABC is similar to Triangle QRS. What is the degree measure of angle B?

Mathematics

1 answer:

GalinKa [24]3 years ago

4 0

Answer:

you doing k12 geometry too?

Step-by-step explanation:

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A large cable company reports the following:

Step2247 [10]

Answer:

$P(Cable\ TV\ only) = 50\%$

$P(Internet\ |\ cable\ TV) = 31.25\%$

$P(exactly\ 2\ services) = 23\%$

$P(Internet\ and\ cable\ TV \only) = 23\%$

Step-by-step explanation:

Given

$Cable\ TV = 80\%$

$Internet = 44\%$

$Telephone = 29\%$

$Cable\ TV\ and\ Internet = 25\%$

$Cable\ TV\ and\ Telephone = 20\%$

$Internet\ and\ Telephone = 23\%$

$All\ Services = 15\%$

Solving (a): A) P(cable TV only).

First, we calculate n(cable TV only)

This is calculated as:

$n(cable\ TV\ only) = (Cable\ TV) - (Cable\ TV\ and\ Internet) - (Cable\ TV\ and\ Telephone) + (All\ Services)$

$n(cable\ TV\ only) = 80\% - 25\% - 20\% + 15\%$

$n(cable\ TV\ only) = 50\%$

The probability is:

$P(Cable\ TV\ only) = \frac{n(Cable\ TV\ only)}{100\%}$

$P(Cable\ TV\ only) = \frac{50\%}{100\%}$

$P(Cable\ TV\ only) = 50\%$

Solving (b): P(Internet | cable TV).

This is calculated as:

$P(Internet\ |\ cable\ TV) = \frac{Cable\ TV\ and\ Internet}{Cable\ TV}$

$P(Internet\ |\ cable\ TV) = \frac{25\%}{80\%}$

$P(Internet\ |\ cable\ TV) = \frac{25}{80}$

$P(Internet\ |\ cable\ TV) = 31.25\%$

Solving (c): P(exactly 2 services).

This is calculated as:

$P(exactly\ 2\ services) = (Cable\ TV\ and\ Internet - All) + (Cable\ TV\ and\ Telephone - All) + (Internet\ and\ Telephone - All)$

$P(exactly\ 2\ services) = (25\% - 15\%) + (20\% - 15\%) + (23\%-15\%)$

$P(exactly\ 2\ services) = (10\%) + (5\%) + (8\%)$

$P(exactly\ 2\ services) = 23\%$

Solving (d): P(Internet and cable TV only).

This is calculated as:

$P(Internet\ and\ cable\ TV \only) = \frac{(Internet\ and\ cable\ TV \only)}{100\%}$

$P(Internet\ and\ cable\ TV \only) = \frac{23\%}{100\%}$

$P(Internet\ and\ cable\ TV \only) = \frac{23\%}{1}$

$P(Internet\ and\ cable\ TV \only) = 23\%$

4 0

2 years ago

Please help!!! Look at image. Excuse my answers I’m not sure if there right.

Orlov [11]

17-
Quotient: 6x+2
Remainder: 20/x^2+3 (20 over x to the power of 2 plus 3)

18-
Quotient: x^2+3 (x to the power of 2 plus 3)
Remainder: 6/4x^2+2 (6 over 4 x to the power of 2 plus 2)

7 0

2 years ago

A=2b^3-1 what's the value of b if a is 13

skelet666 [1.2K]

$\sf~A=2b^3-1$

Plug in A = 13

$\sf~13=2b^3-1$

Add 1 to both sides:

$\sf~14=2b^3$

Divide 2 to both sides:

$\sf~7=b^3$

Find the cube root of both sides:

$\sf~b=\sqrt[3]{7}$

$\sf~b\approx~1.91$

5 0

2 years ago

Read 2 more answers

How to slove step by step

wariber [46]

$\frac{x+3}{12}$ = $\frac{2}{7}$

Multiply both sides by 12, so that we get rid of the fraction in x.

12 · (x+3)/12 = 2/7 · 12

Simplify.

x + 3 = 24/7

Then, subtract 3 from both sides, so that "x" gets isolated.

x = 24/7 - 3

Turn "3" into an improper fraction so that we could find the value of x easier.

3 = 21/3

So :

x = 24/7 - 21/7

Simplify.

x = 3/7

~Hope this helps!~

7 0

3 years ago

What will be the unit digit of the square of 7992

Alina [70]

Answer:

Step-by-step explanation:

Here you need not completely solve 7992 squared. You can just take the last digit which in this case is 2 and solve for the square of that digit. 2 x 2 = 4. Now if it was a bigger digit which would result in a two digit number when squared you would take the last digit of that number. But, we don't need to do that here since 2 squared is 4.

7 0

2 years ago