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3 years ago

What is the measure of

Mathematics

2 answers:

sattari [20]3 years ago

7 0

I believe it is 100°. sorry if it’s wrong :(

Mnenie [13.5K]3 years ago

3 0

Answer:

x = 100 degrees

Step-by-step explanation:

x = 180 - 80 = 100 degrees, because x and 80 are supplemental angles (They add up to 180 degrees)

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An analyst from an energy research institute in California wishes to precisely estimate a 99% confidence interval of the average

Lena [83]

Answer:

190

Step-by-step explanation:

Data provided in the question:

Confidence level = 99%

Therefore,

α = 1% = 0.01

[ from standard normal table ]

z-value for $z_{\frac{\alpha}{2}}= z_{\frac{0.01}{2}}=$ = 2.58

Margin of error, E = $0.06

Standard deviation, σ = $0.32

Now,

n = $(\frac{z_{0.005}\sigma}{E})^2$

Here,

n is the sample size (or the minimum number of gas stations )

on substituting the respective values, we get

= $(\frac{z_{0.005}\sigma}{E})^2$

= $(\frac{2.58\times0.32}{0.06})^2$

= 13.76²

= 189.3376 ≈ 190

Hence,

minimum number of gas stations that she should include in her sample is 190

5 0

2 years ago

Let a be a rational number and b be an irrational number. Is a + b rational or irrational?

Svetlanka [38]

Answer:

irrational

Step-by-step explanation:

because an irrational number goes on forever so no matter what number is added to it it will always be irrational.

4 0

3 years ago

Read 2 more answers

Help with 9 and 10 please?

JulsSmile [24]

9. Let x equal the number

Two less than a number is

x - 2

Is more than 15 is

> 15

Put them together for

x-2 > 15

Now solve

x-2 > 15
x > 17

10. Let x equal a number

Seven more than a number is

x+ 7

Is less than or equal to 27 is

<= 27

Put them together for

x + 7 <= 27

Now solve

x+ 7 <= 27
x <= 20

3 0

2 years ago

Two suppliers manufacture a plastic gear used in a laser printer. The impact strength of these gears measured in foot-pounds is

solong [7]

Step-by-step explanation:

The explanation and the graphical representation is attached