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2 years ago

A right triangle has an angle with a sine of 0.6. What is the cosine of the angle?

Mathematics

1 answer:

andrey2020 [161]2 years ago

7 0

D 0.8

sin^2(x)+cos^2(x)-1

if x=0.6

then 0.6^2+cos(x)=1

cos^2=1-0.36=0.64

cos(x)=±0.8

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Answer:

The calculated value Z = 1.183 < 1.96 at 0.05 level of significance

Null hypothesis is accepted

A particular greyhound breeder claims that her dogs are faster than the average greyhound

Step-by-step explanation:

Step(i):-

Given the average speed of greyhound dogs is about 18.4 meters per second.

Size of the sample 'n' = 35

mean of the sample x⁻ = 18.7

Population standard deviation = 1.5m/s

level of significance (∝) = 0.05

Step(ii):-

Null hypothesis : H₀ : μ = 18.4

Alternative hypothesis H₁ : μ ≠ 18.4

Test statistic

$Z = \frac{x^{-} - mean}{\frac{S.D}{\sqrt{n} } }$

$Z = \frac{18.7-18.4}{\frac{1.5}{\sqrt{35} } }$

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