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Sunny_sXe [5.5K]
3 years ago
14

The diameter of a round skating rink is 18m. Find the circumference of the rink to the nearest meter.

Mathematics
1 answer:
Ratling [72]3 years ago
8 0
As the diameter is 18, a radius is half the diamater ergo the radius is 9.

Use the circumference formula:
2 \pi  r

So, adapted it would be:
2 * π * 9 which would be 56.7.

The circumference is 57m.

Hope this helps!
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If measure FG = 120° and measure EH = 94, what is measure angle EPH?
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Answer:

∠EPH = 107°

Step-by-step explanation:

∠EPH is an angle formed by two intersecting chords.

arc FG and arc EH are the arcs ∠EPH intercepts.

The relationship between an angle formed by intersecting chords and their intercepted arcs is that the angle is equal to half the sum of its intercepted arcs.

Which means that ∠EPH = 1/2 ( arc FG + arc EH )

If arc FG = 120° and arc EH = 94°

Then ∠EPH = 1/2 ( 120 + 94 )

120 + 94 = 214

214 / 2 = 107

Hence, ∠EPH = 107°

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Step-by-step explanation:

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Answer:

(a) C: 0.0465 ; reject the null hypothesis

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Step-by-step explanation:

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Since, the P-value of test statistics is less than the level of significance as 0.0465 < 0.05, so we have sufficient evidence to reject our null hypothesis due to which <u>we reject the null hypothesis.</u>

(b) Now, we are given alternate hypothesis, H_1 : p > 0.383

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Since, the P-value of test statistics is more than the level of significance as 0.3409 > 0.05, so we have insufficient evidence to reject our null hypothesis due to which <u>we fail to reject the null hypothesis.</u>

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