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3 years ago

What is the area is sector GPH?

Mathematics

1 answer:

Zielflug [23.3K]3 years ago

8 0

Answer:

157 square yards

Step-by-step explanation:

Area of circle:

A = pie r^2

A = 3.14 * 15^2

A = 706.5 square yards

< GPH = 80° --> 360/80 = 4.5

Area of sector GPH = 706.5 / 4.5 = 157 square yards

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JulsSmile [24]

Answer:

16.2feet

Step-by-step explanation:

Using the SOH CAH TOA identity

Given the following

Base side = 24feet

angle of elevation = 34degrees

Required

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tan theta = opposite/adjacent

tan 34 = H/24

H = 24tan34

H = 24(0.6745)

H = 16.2feet

Hence the height of the tree is 16.2feet

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2 years ago

A random sample of 38 wheel chair users were asked whether they preferred cushion type A or B, and 28 of them preferred type A w

-BARSIC- [3]

Answer:

The statement that cushion A is twice as popular as cushion B cannot be verified

Step-by-step explanation:

From the question we are told that:

Sample size n=38

Type a size A $X_a=28$

Type a size B $X_b=10$

Generally the probability of choosing cushion A P(a) is mathematically given by

$P(a)=\frac{28}{38}$

$P(a)=0.73$

Generally the equation for A to be twice as popular as B is mathematically given by

$P(b)+2P(b)=3P$

Therefore Hypothesis

$Null H_0: p \leq \frac{2P}{3P} \\Altenative H_A:p>\frac{2P}{3P}$

Generally the equation normal approx of p value is mathematically given by

$z=\frac{x-np_0-0.5}{\sqrt{np_0(1-p_0)} }$

$z=\frac{28-(38*2/3)_0-0.5}{\sqrt{38*2/3*1/3} }$

$z=0.75$

Therefore from distribution table

$Pvalue=1-\theta (0.75)$

$Pvalue=0.227$

Therefore there is no sufficient evidence to disagree with the Null hypothesis $H_0$

Therefore the statement that cushion A is twice as popular as cushion B cannot be verified

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3 years ago