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sashaice [31]
2 years ago
9

3) Given that lines a and b are parallel, and lines o and t are parallel, find the point

Mathematics
1 answer:
Crazy boy [7]2 years ago
3 0

Answer:

X = 3°

Step-by-step explanation:

Since O and T are parallel you can use alternating lines

7x + 5° = 5x + 11° (alt. angles, O||T)

Move the 5x and the 5°

7x - 5x = 11° - 5°

2x = 6°

Divide both sides by 2

x = 3°

This is assuming 11 is an angle

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G)Find the<br>the coefficient of y^5 in the<br>expansion of (3+2y)^6​
hodyreva [135]

Answer:

2

Step-by-step explanation:

A coefficient is a number of times a variable. So in this equation. 2 is being multiplied by y. so 2 is the coefficient.

3 0
3 years ago
The population standard deviation for the temperature of beers found in Scooter's Tavern is 0.26 degrees. If we want to be 90% c
siniylev [52]

Answer:

19 beers must be sampled.

Step-by-step explanation:

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 - 0.9}{2} = 0.05

Now, we have to find z in the Z-table as such z has a p-value of 1 - \alpha.

That is z with a pvalue of 1 - 0.05 = 0.95, so Z = 1.645.

Now, find the margin of error M as such

M = z\frac{\sigma}{\sqrt{n}}

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

The population standard deviation for the temperature of beers found in Scooter's Tavern is 0.26 degrees.

This means that \sigma = 0.26

If we want to be 90% confident that the sample mean beer temperature is within 0.1 degrees of the true mean temperature, how many beers must we sample?

This is n for which M = 0.1. So

M = z\frac{\sigma}{\sqrt{n}}

0.1 = 1.645\frac{0.26}{\sqrt{n}}

0.1\sqrt{n} = 1.645*0.26

\sqrt{n} = \frac{1.645*0.26}{0.1}

(\sqrt{n})^2 = (\frac{1.645*0.26}{0.1})^2

n = 18.3

Rounding up:

19 beers must be sampled.

7 0
2 years ago
Solve the following systems of equations 2a+4b+c=5 ; a-4b=-6 ; 2b+c=7.
SOVA2 [1]

Answer:

a = -2

b = 1

c = 5

Step-by-step explanation:

Given:

2a + 4b + c = 5 ............(1)

a - 4b = - 6

or

a = 4b - 6 .............(2)

2b + c = 7

or

c = 7 - 2b   ...........(3)

substituting 2 and 3 in  1, we get

2(4b - 6 ) + 4b + (7 - 2b) = 5

or

8b - 12 + 4b + 7 - 2b = 5

or

10b - 5 = 5

or

b = 1

substituting b in 2, we get

a = 4(1) - 6

or

a = -2

substituting b in 3, we get

c = 7 - 2(1)

or

c = 5

thus,

a = -2

b = 1

c = 5

8 0
2 years ago
Which rules has a scale factor of 5 and shifted up and to the left?
serious [3.7K]

Answer:

185 37 = 5 1; the scale factor is 5: 1. So every other linear measure is multiplied times 5. If we have the big right triangle and want to scale it down to make the smaller one, we write this: 37 185 = 1 5

Step-by-step explanation:

4 0
3 years ago
Joey is staking out a spot for a rectangular pen he is building for his new pig. He has three stakes already plotted on the coor
andreev551 [17]

Answer:2-6

Step-by-step explanation:

36

6 0
3 years ago
Read 2 more answers
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