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2 years ago

13

You purchase a $220 airline ticket. you have a discount code to recieve 10% off. There is 10.5% service charge added to the tota

l. How much do you pay for your ticket?

1 answer:

gayaneshka [121]2 years ago

6 0

You will pay 221.1 dollars

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What is the standard form of the equation of a circle whose diameter is 20 units and whose center is (−1,7)?

VARVARA [1.3K]

Answer:

$(x + 1)^2 + (y - 7)^2 = 100$

Step-by-sep explanation:

Given:

Diameter of circle = 20 units

Center of circle = (-1, 7)

Standard form of the equation of a circle is expressed in the center-radius form as:

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

Where,

h = -1

k = 7

r = ½ of diameter = ½(20) = 10 units

Plug in the values into the equation

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

$(x - (-1))^2 + (y - 7)^2 = 10^2$

$(x + 1)^2 + (y - 7)^2 = 100$

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2 years ago

Rewrite the following equation in slope-intercept form. x + 5y = -11 Write your answer using integers, proper fractions, and imp

AveGali [126]

Answer:

$\displaystyle y = -\frac{x}{5} - 2\frac{1}{5}$

Step-by-step explanation:

$\displaystyle x + 5y = -11 → 5y = -x - 11 → \frac{5y}{5} = \frac{-x - 11}{5} \\ \\ y = -\frac{1}{5}x - 2\frac{1}{5}$

I am joyous to assist you at any time.

7 0

2 years ago

Draw TWO lines in each 90 degree angle, cutting each 90 into three equal angles.

Serga [27]

Answer:

I think the circles would be cut into eighths then.

Step-by-step explanation:

I hope this helps you! :D

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2 years ago

A hot-air balloon is moving on a bearing of 2450 at 31mph. A wind is blowing with the bearing of 2600 at 23mph. Find the compone

Alborosie

Answer:

$V=(54i) \ mph$

Step-by-step explanation:

According to the problem, the hot-air ballon and the wind are movind in the same direction, which means the component form of the velocity of the ballon is the net vector between both velocities.

Basically, the net velocity is

$v_{net}=31 + 23 = 54 mph$

Because both velocities have the same direction.

Assuming they are moving in a horizontal direction, the component of this velocity is

$V=(54i) \ mph$

4 0

3 years ago

Read 2 more answers

Below are the jersey numbers of 11 players randomly selected from a football team. Find the range, variance, and standard deviat

german

Answer:

Range =94

σ² = 1,141.564

Standard Deviation = 33.78703

Step-by-step explanation:

First off to find the range, we find the highest value and subtract it to the lowest value. In this situation the values are:

Highest = 99

Lowest = 5

Range = 99 - 5

Range = 94

Now to find the variance of the sample data set, we first need to find for the mean of the data.

The mean of the data with be the sum of all the numbers in the data set divided by the number of samples.

5 + 14 + 26 + 50 + 60 +72 + 79 + 88 + 93 +94 + 99

That would equal 680

Then you divide the number of samples and that is 11 so the next equation is 680 divided by 11

So the then-

Mean = 61.81818

Now to find the variance we simply use the formula:

Now to find the variance we simply use the formula:

σ²= $\frac{(xi - Mean)^{2} }{n-1}$

σ²= $\frac{(5 - 61.818)^{2} + (14 - 61.818)^{2} + (26 - 61.818)^2 + (99 - 61.818)^2} {11-1}$

σ²= $\frac{11,415.64}{10}$

σ²= $1,141.564$

Now to find the standard deviation, we take the variance and get the square root of it.

Standard Deviation= $\sqrt{1,141.564}$

Standard Deviation= $33.78703$

HOPE THIS HELPS :)

6 0

2 years ago