−5.2 + y = 7.5 which one please answer...
2 answers:
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Answer:
<h2>186 : 1</h2>Step-by-step explanation:
1cm = 10mm
Therefore 8cm = 8 · 10mm = 80mm
The scale of the model
The length of the bridge is 12.12 feet.
The length the dog swam is 32.36 feet.
The situation forms a right angle triangle.
<h3>What is a right angle triangle?</h3>A right angle triangle has one of its angles as 90 degrees. Therefore, the sides and angle can be found using trigonometric ratios.
The length of the bridge is the opposite side of the triangle and the length the dog swim is the hypotenuse side of the triangle.
Therefore,
Let's find the length of the bridge as follows:
tan 68° = opposite / adjacent
tan 68° = 30 / l
cross multiply
l = 30 / tan 68
l = 12.1212121212
length of the bridge = 12.12 ft
The length the dog swim is as follows:
sin 68°= opposite / hypotenuse
sin 68° = 30 / h
h = 30 / sin 68
h = 32.3561767942
The distance the dog swimmed = 32.36 ft
learn more on right triangle here: brainly.com/question/22734914
Answer:
Probability that exactly two people out of a randomly chosen group of five people have responded to a telephone call-in poll is 0.264.
Step-by-step explanation:
We are given that according to a recent New York Times poll, 25% of the public have responded to a telephone call-in poll.
Also, five people have people have been randomly selected.
The above situation can be represented through binomial distribution;
where, n = number trials (samples) taken = 5 people
r = number of success = exactly two
p = probability of success which in our question is probability that
public have responded to a telephone call-in poll, i.e; p = 25%
<em><u>Let X = Number of people who have responded to a telephone call-in poll</u></em>
So, X ~ Binom(n = 5, p = 0.25)
Now, probability that exactly two people out of group of five people have responded to a telephone call-in poll is given by = P(X = 2)
P(X = 2) =
=
= <u>0.264</u>
<em>Therefore, the probability that exactly two people out of a randomly chosen group of five people have responded to a telephone call-in poll is 0.264.</em>