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2 years ago

Select all the pairs that represent alternate exterior angles.

Mathematics

1 answer:

Leno4ka [110]2 years ago

8 0

Answer: 3rd option : Angle 2 and 7

Step-by-step explanation:

Alternate exterior angles are located on the outside of the parallel line on opposite sides.

Therefore, the alternate exetrior angles are 1 and 8 and 2 and 7.

Since there is no option for angle 1 and 8, the correct answer is the 3rd option --> Angle 2 and 7.

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Peytons car used 6 gallons to travel 192 miles how many gallons of gas would she need t I travel 480 miles

ELEN [110]

Answer:

15 gallons

Step-by-step explanation:

if 6gallons = 192 miles

then x gallons 480 miles

x = (6*480)/192

x = 2880/192

x = 15 gallons

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2 years ago

What is the domain and range of this graph

kupik [55]

Answer:

The domain of a function f(x) is the set of all values for which the function is defined, and the range of the function is the set of all values that f takes. (In grammar school, you probably called the domain the replacement set and the range the solution set. further the domain refers to the set of possible input values, the domain of a graph consists of all the input values shown on the x-axis. The range is the set of possible output values, which are shown on the y-axis.

I hope it will help =)

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3 years ago

Does anyone know how to relive stress from being annoyed

I am Lyosha [343]

Take some you time to focus on yourself, do calming activities wether it’s a walk, puzzle, or anything along those lines

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3 years ago

There are 10 employees in a particular division of a company. Their salaries have a mean of 570,000, a median of $55,000,and a s

harkovskaia [24]

Answer:

a) $160,000

b) $55,000

c) $332264.804

Step-by-step explanation:

We are given that there are 10 employees in a particular division of a company and their salaries have a mean of $70,000, a median of $55,000, and a standard deviation of $20,000.

And also the largest number on the list is $100,000 but By accident, this number is changed to $1,000,000.

a) Value of mean after the change in value is given by;

Original Mean = $70,000

$\frac{\sum X}{n}$ = $70,000 ⇒ $\sum X$ = 70,000 * 10 = $700,000

New $\sum X$ after change = $700,000 - $100,000 + $1,000,000 = $1600000

Therefore, New mean = $\frac{1600000}{10}$ = $160,000 .

b) Median will not get affected as median is the middle most value in the data set and since $1,000,000 is considered to be an outlier so median remain unchanged at $55,000 .

c) Original Variance = $20000^{2}$ i.e. $20000^{2}$ = $\frac{\sum x^{2} - n*xbar }{n -1}$

Original $\sum x^{2}$ = ( $20000^{2}$ * (10-1)) + (10 * 70,000) = $3,600,700,000

New $\sum x^{2}$ = $3,600,700,000 - $100,000^{2} + 1,000,000^{2}$ = 9.936007 * $10^{11}$

New Variance = $\frac{new\sum x^{2} - n*new xbar }{n -1}$ = $\frac{9.936007 *10^{11} - 10*160000 }{10 -1}$ = 1.103999 * $10^{11}$ Therefore, standard deviation after change = $\sqrt{1.103999 * 10^{11} }$ = $332264.804 .