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2 years ago

An engine is operating at 25% of its full power. Which number line shows a point that represents 25%?

Mathematics

1 answer:

Grace [21]2 years ago

4 0

Answer:

It could be the first one or second one but the second one makes more sense .

Step-by-step explanation:

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Find a. Roud to the nearest tenth: 2cm 15* a 105* c

MariettaO [177]

Answer:

So since we use law of sines. We can get 2 fractions equal to eachother but first we need to solve for missing angle. That would be 180-105-15 = 60

So now we can get a fraction. So that means that sin(105)/2 = sin(60)/a

Then we do recipricol. 2/sin(105) = a/sin(60)

multiply by sin(60) both sides.

2sin(60)/sin(105) = a

round and solve and we get a is equal to

1.7931 or 1.8

6 0

2 years ago

For a 95% confidence interval what would the sample size need to be as it's most conservative to have a 2% margin of error

aleksley [76]

Answer:

The size of the sample 'n' = 2401

Step-by-step explanation:

Step:1

Given that the margin of error = 2 % = 0.02

The margin of error is determined by

$M.E = \frac{Z_{0.05} \sqrt{p(1-p)} }{\sqrt{n} }$

we know that the proportion

$\sqrt{p(1-p)} < \frac{1}{2}$

Step:2

The margin of error is determined by

$0.02 = \frac{1.96( \frac{1}{2} ) }{\sqrt{n} }$

$\sqrt{n} = \frac{1.96}{2 X 0.02}$

√n = 49

Squaring on both sides, we get

n = 49 × 49

n = 2401

Final answer:-

The size of the sample 'n' = 2401

8 0

2 years ago

(1/12)^-2b•12^-2b+2=12?

Anvisha [2.4K]

Step-by-step explanation:

(1/12)^-2b x 12^-2b+2=12

12^-(-2b) x 12^-2b+2=12

12^2b+(-2b+12)=12

2b-2b+12=12

4 0

1 year ago

Solve these equations. |x-7|=x-7

Cloud [144]

Answer:

x ≥ 7

Step-by-step explanation:

|x - 7| = x - 7

A. For each absolute, find the intervals

x - 7 ≥ 0 x - 7 < 0

x ≥ 7 x < 7

If x ≥ 7, |x - 7| = x - 7 > 0.

If x < 7, |x - 7| = x - 7 < 0. No solution.

B. Solve for x < 7

Rewrite |x - 7| = x - 7 as

+(x - 7) = x - 7

x - 7 = x - 7

-x + 14 = x

14 = 2x

x = 7

7 ≮7. No solution

C. Solve for x ≥ 7

Rewrite |x - 7| = x - 7 as

+(x - 7) = x - 7

x - 7 = x - 7

True for all x.

D. Merge overlapping intervals

No solution or x ≥ 7

⇒ x ≥ 7

The diagram below shows that the graphs of y = |x - 7| (blue) and of y = x - 7 (dashed red) coincide only when x ≥ 7.

6 0

2 years ago

Could any of y'all help me?

Scorpion4ik [409]

Start using calculator

5 0

2 years ago