1. Original numbers are rounded to the nearest hundred and to the nearest thousand. The

The ratio of two complementary angles is 5 to 1. what are the angles?

densk [106]

Call x and y those angles. If they are complementary, then their sum equals 90°:

x + y = 90°

y = 90° - x

The ratio of them is 5 to 1. So,

x/y = 5/1

x/(90° - x) = 5/1

x = 5 * (90° - x)

x = 450° - 5x

x + 5x = 450°

6x = 450°

x = 450°/6

x = 75°

The measure of the other angle is

y = 90° - 75°

y = 15°

The angles are 75° and 15°.

I hope it helps. =)

6 0

3 years ago

The data set 80, 84, 79, 44, 87, 73, 89, 90, 82, 89, 93, 97, 77, and 71 is graphed below. A graph shows the horizontal axis labe

guajiro [1.7K]

Based on the information given, it can be deduced that the distribution is a skewed distribution and the best choice is a median.

<h3>How to calculate the mean.</h3>

The mean will be:

= (80 + 84 + 79 + 44 + 87 + 73 + 89 + 90 + 82 + 89 + 93 + 97 + 77 + 71) / 14

= 1135/14

= 81.07

The median will be the middle number after the numbers are arranged in ascending order. This will be:

44, 71, 73, 77, 79, 80, 82, 84, 87, 89, 89, 90, 93, and 97. Therefore, the median will be:

= (82 + 84) / 2

= 83

Lastly, the measure of center that is the best choice for this data set is median.

Learn more about median on:

brainly.com/question/14805451

8 0

2 years ago

Read 2 more answers

A company has a cost equation of c=0.925x^2-4x+20 and a profit equation of p=-1.125x^2+6x+40. Solve for the breakeven point.

lana66690 [7]

0.925x^2 - 4x + 20 = -1.125x^2 + 6x + 40 (at break even point)

2.05x^2 - 10x - 20 = 0

x = [ - (-10) +/- sqrt(100 - 4*2.05*-20) / (2*2.05)

x = 6.40, -1.52 Ignore the negative

Answer is 6.40

3 0

3 years ago

Is this right ? Im honestly confused

fgiga [73]

Answer:

In step by step

Step-by-step explanation:

For #1, everything is perfect.

For #2, you wrote your functions out incorrectly, but your x input and y output are correct

#3 is a little messed up.

Your function is f(x)=-3x+1. Your given x's are -3, -1, 0, 1, 2, and 3. Plug all of these in.

1. f(-3)=-3(-3)+1

f(-3)=9+1
f(-3)=1

2. f(-1)=-3(-1)+1

f(-1)=3+1
f(-1)=4

3. f(0)=-3(0)+1

f(0)=0+1
f(0)=1

4. f(1)=-3(1)+1

f(1)=-3+1
f(1)=-3

5. f(2)=-3(2)+1

f(2)=-6+1
f(2)=-5

3 0

3 years ago

At central high school there are 398 sophomores who do not own a car and 29 who do there are 64 juniors who own a car and 339 wh

sertanlavr [38]

The proportion of sophomores that do not own a car is equal to 0.93.

<h3>What is ratio?</h3>

Ratio is a mathematical expression that is used to denote the proportion of two (2) or more quantities with respect to one another and the total quantities.

The proportion of sophomores that do not own a car is given by:

Number of sophomores that do not own a car = 398.

Total number of sophomores = 427

Therefore, proportion = 398/427 = 0.93.

The proportion of all students who are seniors who own cars is given by:

Number of seniors who own cars = 123

Total number of students = 1192

Therefore, proportion = 123/1192 = 0.10.

The proportion of non-car owners who are juniors is given by:

Number of juniors who are non-car owners = 339

Total number of students that do not own a car = 976.

Therefore, proportion = 339/976 = 0.35.

Read more on ratio here: brainly.com/question/13513438

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<u>Complete Question:</u>

At Central High School, there are 398 sophomores who do not own a car and 29 who do. There are 64 juniors who own a car and 339 who do not. There are 123 seniors who own a car, compared to 239 who do not. The above is a two-way table depicting this situation. Complete the following statements below by finding the ratio, then converting to a decimal. Round to the nearest hundredth.

The proportion of sophomores that do not own a car is?

The proportion of all students who are seniors who own cars is?

The proportion of non-car owners who are juniors is?

3 0

2 years ago