Answer:
21/29
Step-by-step explanation:
Recall that the cosine ratio is the adjacent side over the hypotenuse.
From the triangle, the adjacent side to angle Θ is 42. The hypotenuse (opposite from the right angle) is 58. Therefore:
Substitute 42 for the adjacent side and 58 for the hypotenuse:
Reduce:
And we're done!
Answer:
D.) He jogged 5 miles west and 12 miles north
Step-by-step explanation:
if you think of this as a right angled triangle, you are trying to work out the hypotenuse (longest side)
the formula is +
=
so, +
= 169
169 = the
= 13 miles
Answer:
a
The null hypothesis is
The alternative hypothesis is
b
The sample proportion is
Step-by-step explanation:
From the question we are told that
The sample size is n = 546
The number of people that use a laptop overnight is
The population proportion is
Generally
The null hypothesis is
The alternative hypothesis is
Gnerally the sample proportion is mathematically represented as
=>
=>
Answer: 0.9649
Step-by-step explanation:
Let A denote the event that the days are cloudy and B denotes the event that the days are rainy.
Given : For the month of March in a certain city, the probability that days are cloudy :
Also in the month of March in the same city,, the probability that the days are cloudy and rainy :
Now by using the conditional probability, the probability that a randomly selected day in March will be rainy if it is cloudy will be :-
Hence, the probability that a randomly selected day in March will be rainy if it is cloudy = 0.9649