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3 years ago

10

fiona is going to jog once around the block she lives on. The block is retangular, and it is 180 yards long and 200 feet wide. H

ow far will fiona jog in feet?

1 answer:

prisoha [69]3 years ago

5 0

Answer:

1480 feet

Step-by-step explanation:

180yd x 2 = 360yd

change to feet: 360 x 3 = 1080 feet

200ft x 2 = 400ft

1080 + 400 = 1480ft

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Suppose you were given a 95% confidence interval for the difference in two population means. What could you conclude about the p

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Answer:

(a) The population means are not same.

(b) The population means are same.

Step-by-step explanation:

The hypothesis to test whether there is a significant difference between two population means is:

<em>H₀</em>: There is no difference between the two population means, i.e. <em>μ</em>₁ - <em>μ</em>₂ = 0.

<em>Hₐ</em>: There is no difference between the two population means, i.e. <em>μ</em>₁ - <em>μ</em>₂ ≠ 0.

The decision rule based on confidence interval for the difference between two population means is:

If the confidence interval consists the null value of the difference, i.e. 0 then the null hypothesis will be accepted or else it will be rejected.

(a)

It is provided that the confidence interval for the difference between two population means does not contains 0.

Since the null value of the difference is not contained in the interval, it can be concluded that the null hypothesis will be rejected.

Thus, the population means are not same.

(b)

It is provided that the confidence interval for the difference between two population means does contains 0.

Since the null value of the difference is contained in the interval, it can be concluded that the null hypothesis will not be rejected.

Thus, the population means are same.

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3 years ago

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Step-by-step explanation:

steps are in the picture.

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3 years ago

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JulijaS [17]

Answer:

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Step-by-step explanation:

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A child with a mass of 23 kg rides a bike with a mass of 5.5 kg at a velocity of 4.5m/S to the south. Compare the momentum of th

spayn [35]

Answer:

The child has a greater momentum than the bike.

Step-by-step explanation:

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3 years ago

A petrol kiosk p is 12 km due north of another petrol kiosk q. The bearing of a police station r from p is 135 degree and that f

tiny-mole [99]

Answer:

Distance between P and R is 40.15 km.

Step-by-step explanation:

From the picture attached,

Petrol kiosk P is 12 km due North of another petrol kiosk Q.

Bearing of a police station R is 135° from P and 120° from Q.

m∠QPR = 180° - 135° = 45°

m∠PQR = 120°

m∠PRQ = 180° - (m∠QPR +m∠PQR)

= 180° - (45° + 120°)

= 180° - 165°

= 15°

Now we apply sine rule in ΔPQR to measure the distance between P and R.

$\frac{\text{sin}(\angle QPR)}{\text{QR}}= \frac{\text{sin}(\angle PQR)}{\text{PR}}=\frac{\text{sin}\angle PRQ}{\text{PQ}}$

$\frac{\text{sin}(45)}{\text{QR}}= \frac{\text{sin}(120)}{\text{PR}}=\frac{\text{sin}(15)}{\text{12}}$

$\frac{\text{sin}(120)}{\text{PR}}=\frac{\text{sin}(15)}{\text{12}}$

PR = $\frac{12\text{sin}(120)}{\text{sin}(15)}$

PR = 40.15 km

Therefore, distance between P and R is 40.15 km.

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