Pls need help fast for this quiz

Two angles are supplementary. One angle can be represented by 2x, while the other by 3x-10. What is the value of 2x? Based on th

liubo4ka [24]

Supplementary angles = 180
2x +3x-10 = 180
5x -10 =180
5x -10 +10 =180+10
5x =190
5x/5 =190/5
x = 38
2x=76
3x-10= 3(38)-10=104

The measure of angles are 76 and 104

6 0

3 years ago

The revenue, in dollars. of a company that produces video game systems can be modeled by the expression 52 +

gtnhenbr [62]

Answer:

1). Profit = 3x - 180

2) Profit of selling 1000 video games = $2820

Step-by-step explanation:

Expression for the revenue = 5x² + 2x - 80

Expression for the production cost of the video games = 5x² - x + 100

Since, profit is the difference between the revenue and the cost,

Expression for the profit will be,

Profit = Revenue - Cost

= (5x² + 2x - 80) - (5x² - x + 100)

= 5x² + 2x - 80 - 5x² + x - 100

= 3x - 180

Here, x = Number of video games sold

If number of video games sold = 1000

Profit = (3×1000) - 180

= 3000 - 180

= $2820

8 0

3 years ago

4.2r - 12.68 = 10<br> how to sole it to plz

Y_Kistochka [10]

R=5.4

4.2r-12.68=10
+12.68 +12.68
4.2r=22.68
4.2/4.2 22.68/4.2
22.68/4.2= 5.4

Hope this helps! Have a great day :)

8 0

3 years ago

Read 2 more answers

8. You recorded the time in seconds it took for 8 participants to solve a puzzle. The times were: 15.2, 18.8, 19.3, 19.7, 20.2,

Ivanshal [37]

Answer:

Xbar = 20.813

Median = 19.95

5 - number summary :

Minimum = 15.2

Q1 = 19.05; Q2 = 19.95 ; Q3 = 21.95 ; maximum = 29.4

Standard deviation, s = 4.068

Step-by-step explanation:

Given the data:

X : 15.2, 18.8, 19.3, 19.7, 20.2, 21.8, 22.1, 29.4

Ordered data:

15.2, 18.8, 19.3, 19.7, 20.2, 21.8, 22.1, 29.4

The mean (xbar) :

Xbar = Σx / n ; n = sample size = 8

Xbar = 166.8 / 8 = 20.8125

Xbar = 20.813

The median :

1/2 *(n+1)th term

1/2(9) = 4.5

(4 + 5)th term / 2

(19.7 + 20.2) / 2 = 19.95

The five number summary :

Minimum = 15.2

Lower quartile (Q1) = 1/4(9) = 2.25 ; (2nd + 3rd) term / 2

(18.8 + 19.3) / 2 = 19.05

Median (Q2) = 19.95

Upper quartile (Q3) :

3/4(9) = 6.75 = (6th + 7th) / 2

(21.8 + 22.1) / 2 = 21.95

Maximum = 29.4

The standard deviation, s = sqrt[(x - xbar)²/ (n-1)]

Using calculator ;

s = 4.068

5 0

3 years ago

A room contains three urns: u1, u2, u3. u1 contains 3 red and 2 yellow marbles. u2 contains 3 red and 7 yellow marbles. u3 conta

Archy [21]

Answer:

$\dfrac{11}{30}$

Step-by-step explanation:

Urn U1: 3 red and 2 yellow marbles, in total 5 marbles.

The probability to select red marble is $\dfrac{3}{5}=0.6.$

Urn U2: 3 red and 7 yellow marbles, in total 10 marbles.

The probability to select red marble is $\dfrac{3}{10}=0.3.$

Urn U1: 1 red and 4 yellow marbles, in total 5 marbles.

The probability to select red marble is $\dfrac{1}{5}=0.2.$

The probability to choose each urn is the same and is equal to $\frac{1}{3}.$

Thus, the probability that the marble is red is

$\dfrac{1}{3}\cdot 0.6+\dfrac{1}{3}\cdot 0.3+\dfrac{1}{3}\cdot 0.2=\dfrac{1.1}{3}=\dfrac{11}{30}.$

4 0

3 years ago