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2 years ago

Can someone answer this question please please help me I really need it if it’s correct I will mark you brainliest .

Mathematics

1 answer:

maw [93]2 years ago

8 0

Formula for the area of a quarter circle: A = (pi x r^2) / 4

3.14 = (3.14 x r^2) / 4

3.14r^2 = 12.56

r^2 = 4

r = 2 meters

Hope this helps! :)

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What are congruent triangles.

pashok25 [27]

Answer:

Congruent triangles are triangles that have the same size and shape.

We say that the two triangles are congruent if their corresponding sides are equal in length, and their corresponding angles are equal in measure.

Step-by-step explanation:

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BD = 4.99

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A car completes a journey at an average speed of 40km/h.At what speed must it travel on the return journey if the average speed

nalin [4]

The distance, s = 40t₁ where t₁ is the time to complete the outward journey.
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2 years ago

What is the correct name for the angle shown

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3 years ago

Assume a standard deviation of LaTeX: \sigma = 0.75σ = 0.75. You plan to take a random sample of 110 households, what is the pro

olchik [2.2K]

Answer:

P(2.50 < Xbar < 2.66) = 0.046

Step-by-step explanation:

We are given that Population Mean, $\mu$ = 2.58 and Standard deviation, $\sigma$ = 0.75

Also, a random sample (n) of 110 households is taken.

Let Xbar = sample mean household size

The z score probability distribution for sample mean is give by;

Z = $\frac{Xbar-\mu}{\frac{\sigma}{\sqrt{n} } }$ ~ N(0,1)

So, probability that the sample mean household size is between 2.50 and 2.66 people = P(2.50 < Xbar < 2.66)

P(2.50 < Xbar < 2.66) = P(Xbar < 2.66) - P(Xbar $\leq$ 2.50)

P(Xbar < 2.66) = P( $\frac{Xbar-\mu}{\frac{\sigma}{\sqrt{n} } }$ < $\frac{2.66-2.78}{\frac{0.75}{\sqrt{110} } }$ ) = P(Z < -1.68) = 1 - P(Z $\leq$ 1.68)

= 1 - 0.95352 = 0.04648

P(Xbar $\leq$ 2.50) = P( $\frac{Xbar-\mu}{\frac{\sigma}{\sqrt{n} } }$ $\leq$ $\frac{2.50-2.78}{\frac{0.75}{\sqrt{110} } }$ ) = P(Z $\leq$ -3.92) = 1 - P(Z < 3.92)

= 1 - 0.99996 = 0.00004

Therefore, P(2.50 < Xbar < 2.66) = 0.04648 - 0.00004 = 0.046

3 0

2 years ago