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wolverine [178]
3 years ago
9

If r is parallel to s find y.

Mathematics
1 answer:
solong [7]3 years ago
5 0

If r and s are parallel, then the nagles (216 - 2x) and (3x + 16) are corresponding angles.

Therefore:

216-2x=3x+16\ \ \ \ |-216\\\\-2x=3x-200\ \ \ \ |-3x\\\\-5x=-200\ \ \ \ |:(-5)\\\\x=40

216-2x=216-2(40)=216-80=136

The angles (216 - 2x) and (7y - 4) are vertical angles.

Therefore

7y-4=216-2x\\\\7y-4=136\ \ \ \ |+4\\\\7y=140\ \ \ \ |:7\\\\\boxed{y=20}

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A film distribution manager calculates that 4% of the films released are flops. If the manager is correct, what is the probabili
Anit [1.1K]

Answer:

9.34%

Step-by-step explanation:

p = 4%, or 0.04

n = Sample size = 667

u = Expected value = n * p = 667 * 0.04 = 26.68

SD = Standard deviation = \sqrt{np(1-p)}  =\sqrt{667*0.04*(1-0.04)} = 5.06

Now, the question is if the manager is correct, what is the probability that the proportion of flops in a sample of 667 released films would be greater than 5%?

This statement implies that the p-vlaue of Z when X = 5% * 667 = 33.35

Since,

Z = (X - u) / SD

We have;

Z = (33.35 - 26.68) / 5.06

Z = 1.32

From the Z-table, the p-value of 1.32 is 0.9066

1 - 0.9066 = 0.0934, or 9.34%

Therefore, the probability that the proportion of flops in a sample of 667 released films would be greater than 5% is 9.34%.

6 0
3 years ago
The frog population at a lake doubles every week. The population can be modeled by f(x) = 15(2)x and f(6) = 960. What does the 9
insens350 [35]

Answer:

a is the correct option.

Step-by-step explanation:

We have been given the population model is f(x)=15(2)^x, f(6)=960

Here x represents number of weeks and f(x) is population of frog after x weeks.

For x= 6, we have

f(6)=15(2)^6\\\\f(6)=15\times 64\\f(6)=960

It means that the population after 6 weeks is 960.

Hence, f(6)=960 represents the population after 6 weeks.

a is the correct option.

6 0
4 years ago
Find the answer for each function notation <br> f(x) = 3x + 6, <br> If f(x)=18; what is x?
Virty [35]

Answer: 4

Step-by-step explanation:

The procedure is pretty basic. First you have to substitute what you know in the equation. So as you know f(x)=18, just substitute f(x) by 18, leaving it like 18 = 3x + 6.

Then you have to start to move things around. First start with the + 6 that is adding, so it moves to the other side as a substraction giving 18 - 6 = 3x -> 12 = 3x. The next step is to get rid of that 3, so because it's multiplying the x, it moves to the other side as a division leaving you with 12 ÷ 3 = x -> 4 = x. There you have the answer! For a value/y of 18 in that function, the x is 4

4 0
3 years ago
Jacob buys 4 muffins for $5.00 how much are 7 muffins
Temka [501]
The answer is $8.75. You have to find what one costs which is 1.25 so if you have 7. 1.25 times 7 is $8.75
6 0
3 years ago
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butalik [34]

Answer:

get a life its c

Step-by-step explanation:

8 0
3 years ago
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