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3 years ago

Answer this question to chick you knowledge

Mathematics

1 answer:

NemiM [27]3 years ago

4 0

Answer:

8.5 Yards

Step-by-step explanation:

Pythagorean Theorem: $c = \sqrt{a^{2} +b^{2} }$

a = 6

b = 6

Therefore: $c = \sqrt{6^{2} +6^{2} }$ = 8.485

The path is 8.5 yards long

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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

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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

A bottle of hot sauce is 3/4 full. Leigh uses 2/9 of the contents of the hot sauce bottle for lunch. How much of a full bottle o

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Answer:

C) 1/6

Step-by-step explanation:

2/9 of 3/4 is ...

$\dfrac{2}{9}\times\dfrac{3}{4}=\dfrac{2\cdot 3}{9\cdot 4}=\dfrac{6}{36}=\boxed{\dfrac{1}{6}}\qquad\text{matches C}$

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3 years ago