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Tresset [83]
2 years ago
13

Using the triangle below, Find the ratio. Please need help very much appreciate

Mathematics
1 answer:
zmey [24]2 years ago
3 0

Answer/Step-by-step explanation:

✔️Sin 22° = opp/hyp

Opp = 15

Hyp = 40

Sin 22° = 15/40

Simplify

Sin 22° = ⅜

✔️Tan 22° = opp/adjacent

opp = 15

Adjacent = √(40² - 15²) (pythagorean theorem)

Adjacent = √1,375 = 37.1 (nearest tenth)

Tan 22° = 15/37.1

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A high school guidance counselor determined the following information regarding students and their likelihood of playing a sport
iogann1982 [59]

Conditional Probability

Given two events A and B (not excluding), the probability that A occurs given that B has occurred is called a <em>conditional probability</em> and is calculated as:

P(A|B)=\frac{P(A\cap B)}{P(B)}

Where P(A∩B) is the probability that A and B occur simultaneously and P(B) is the probability that B occurs.

Now with the given data, we must find the values of the required probabilities.

30% of the students play a sport (S), this means that:

70% of the students don't play a sport (NS).

65% of the students have a job.

Note that there could be students who both play sports and have a job.

Of the 30% of the students who play a sport, 50% have a job. This means that:

15% of the students play a sport and don't have a job

15% of the students play a sport AND have a job

65% - 15% = 50% of the students have a job and don't play a sport

That last number is the numerator of the equation given above:

P(A∩B) = 0.5

The event B corresponds to students that don't play a sport (NS), thus:

P(B) = 0.7

Thus we have:

P(A|B)=\frac{0.5}{0.7}=\frac{5}{7}

The required probability is 5/7 or 0.7143

4 0
1 year ago
Solve 3x^2 - 20x - 7 =0
grin007 [14]
This involvea factoring the polynomial into binomials and solving.
So make it (3x+1)(x-7)
X equals 7 and -1/3
5 0
3 years ago
Read 2 more answers
Please help me I am confused
nadezda [96]

Answer: X= 11

Step-by-step explanation:

3 0
2 years ago
the perimeter of a rectangular garden is 84 feet. write and solve the system of equations that can be used to find the dimension
scoray [572]

Answer:

The length is 22.5 and the width is 19.5

Step-by-step explanation:

          2L + 2W = P

                     \/

          2L + 2W = 84

                     \/

W + 3 + W + 3 + W + W= 84

                     \/

          4W + 6 = 84

                     \/

                4W = 78

                     \/

     W = 19.5      L = 19.5 + 3 = 22.5

I hope this helps, have a nice day! :D

6 0
2 years ago
In 1980 (before the era of in-vitro fertilization), there were 3,612,258 births in the United States (according to the U.S. Cens
scoray [572]

Answer:

There was a 1.93% probability of having multiples (twins or more) in 1980.

Step-by-step explanation:

There were 3,612,258 births in the US in 1980.

Of those,

68339 + 1337 = 69676 were multiplies.

So

What was the probability of having multiples (twins or more) in 1980?

P = \frac{69676}{3612258} = 0.0193

There was a 1.93% probability of having multiples (twins or more) in 1980.

8 0
2 years ago
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