Find exact values of a trigonometric function

.162q + .035c = 4<br> Solve for q and c and show work

liberstina [14]

Answer:

q = $\frac{5(-7c+800)}{162}$

c = $\frac{2(-81q + 2000)}{35}$

Step-by-step explanation:

First solve for q:

0.162q + 0.035c = 4

0.162q = 4 - 0.035c (move term to other side)

q = $\frac{4-0.035c}{0.162}$ (divide both sides by 0.162 to get it away from q)

q = $\frac{5(-7c+800)}{162}$ (simplify fraction)

Solve for c:

0.162q + 0.035c = 4

0.035c = 4 - 0.162q (move term to other side)

c = $\frac{4 - 0.162q}{0.035}$ (divide both sides by 0.035 to get it away from c)

c = $\frac{2(-81q + 2000)}{35}$ (simplify fraction)

7 0

3 years ago

In a state's Pick 3 lottery game, you pay $1.42 to select a sequence of three digits (from 0 to 9), such as 966. If you select t

Mumz [18]

The lottery game is an illustration of probability

The total number of different selections is 1000
The probability of winning is 0.001
The net profit of winning is $262.82
The expected earning is -$1.156

<h3>The number of selections</h3>

Each of the three selections can be any of the 1o digits 0 - 9.

So, the total number of different selections is:

$n = 10^3$

$n = 1000$

<h3>The probability of winning</h3>

Only one of the 1000 selections can win.

So, the probability of winning is:

$p = \frac 1{1000}$

$p = 0.001$

<h3>The net profit</h3>

The stake amount is given as $1.42, and the earnings per game is given as $264.25.

So, the net profit is:

Net = $264.25 - $1.42

Net = $262.82

<h3>The expected winnings</h3>

This is calculated as:

$E(x) = \sum x P(x)$

So, we have:

$E(x) = 262.82 * 0.001 - 1.42 * (1 - 0.001)$

$E(x) = -1.156$

Hence, the expected earning is -$1.156

Read more about probability at:

brainly.com/question/25870256

4 0

2 years ago

10. RP3-M

SashulF [63]

Answer:

Jeannette's ticket was less than the original pice by 30%

Step-by-step explanation:

original price = $75

percentage discount = 20% of original price = 20% of $75

discounted price = $\frac{20}{100} \times\ 75\ =\ 15$

discounted price = $15

website service fee = 10% of original price

website service fee = $\frac{10}{100}\times 75 = \$7.5$

New discounted price = discount price + website service fee

= 15 + 7.5 = $22.5

Next, let us calculate what percentage of the original price that will give the new discount price.

Let the percentage of the original price = x%

x% of 75 = $22.5

$\frac{x}{100} \times\ 75\ = 22.5\\\\\frac{75x}{100} = 22.5\\\\75x = 2250\\\\x = \frac{2250}{75} \\\\x = 30$

Therefore, Jeannette's ticket was less than the original pice by 30%

5 0

3 years ago

What are all the shapes that are used to create the net of a cylinder

Ksenya-84 [330]

2 circles and for the part in the middle if you look at it as a net it will be a rectangle just rolled up. That is called a lateral surface or a lateral face

6 0

3 years ago

Read 2 more answers

The general form of the equation of a circle is Ax2 + By2 + Cx + Dy + E = 0, where A = B 0. If the circle has a radius of 3 unit

Anettt [7]

(x-h)^2 + (y-k)^2 = r^2

r=3
(x-h)^2 + (y-k)^2 = 3^2

the center lies on the y-axis --> h=0
x^2 + (y-k)^2 = 3^2 = 9

expand
x^2 + y^2 -2ky + k^2 = 9

x^2 + y^2 -2ky + (k^2 - 9) = 0
compare to general form
A=1 , B=1 and C =0
D= -2k and E=k^2 - 9

8 0

3 years ago

Read 2 more answers