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pav-90 [236]
3 years ago
15

Solve for x and y Please help!!!

Mathematics
1 answer:
shtirl [24]3 years ago
6 0

Answer:

x = 18 and y = 11

Step-by-step explanation:

The angles 6x - 16 and 92 are vertical angles and congruent, thus

6x - 16 = 92 ( add 16 to both sides )

6x = 108 ( divide both sides by 6 )

x = 18

Angles 8y and 92 form a straight angle and are supplementary, thus

8y + 92 = 180 ( subtract 92 from both sides )

8y = 88 ( divide both sides by 8 )

y = 11

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The owner of Limp Pines Resort wanted to know the average age of its clients. A random sample of 25 tourists is taken. It shows
erma4kov [3.2K]

Answer:

C. ± 2.326 years.

Step-by-step explanation:

We have the standard deviation for the sample. So we use the t-distribution to solve this question.

We have that to find our \alpha level, that is the subtraction of 1 by the confidence interval divided by 2. So:

\alpha = \frac{1-0.98}{2} = 0.01

Now, we have to find z in the Ztable as such z has a pvalue of 1-\alpha.

So it is z with a pvalue of 1-0.01 = 0.99, so z = 2.326/tex]Now, find the width of the interval[tex]W = z*\frac{\sigma}{\sqrt{n}}

In which \sigma is the standard deviation of the population and n is the size of the sample.

In this question:

\sigma = 5, n = 25

So

W = z*\frac{\sigma}{\sqrt{n}}

W = 2.326*\frac{5}{\sqrt{25}}

The correct answer is:

C. ± 2.326 years.

7 0
3 years ago
Which equation results from adding the equations in this system?
eimsori [14]

Answer: 3x=3

Step-by-step explanation: Let's divide this into parts--

1. Adding the x variables: -2x+5x or 5x-2x = 3x.

2. Adding the y variables: y-y or -y+y = 0. (The negative and the positive y cancel each other out.)

3. Adding the numbers: 8-5 or -5+8 = 3.

Now just put it back into an equation: 3x + 0 = 3.

We don't need to add the 0, so the equation changes into 3x = 3.

3 0
3 years ago
Graph the following inequality. Then click to show the correct graph. x < -1
docker41 [41]

Answer:

The graph in the attached figure

Step-by-step explanation:

we have

x < -1

The solution is the interval ----> (-∞,-1)

All real numbers less than -1

On a number line the solution is the shaded area at the left of x=-1 (open circle)

using a graphing tool

see the attached figure

8 0
3 years ago
Please help #22 please sos
iragen [17]
1/5( 5/2 x 4/7 -11/7) + 3/28

Multiply the terms (5/2 x 4/7) in bracket then subtract it from 11/14. Result will be 10/7.

Then multiply 1/5 with 10/7. The result will be 2/7.

2/7 + 3/28 = 11/28

T
4 0
3 years ago
Read 2 more answers
In which set does -15/3
Serjik [45]

Answer:

Rational numbers

Step-by-step explanation:

A rational number is a number that can be written as a ratio. That means it can be written as a fraction, in which both the numerator (the number on top) and the denominator (the number on the bottom) are whole numbers. The number 8 is a rational number because it can be written as the fraction 8/1.

8 0
3 years ago
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