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Naily [24]
3 years ago
9

Find tan(B) in the triangle.

Mathematics
1 answer:
nekit [7.7K]3 years ago
5 0

Step-by-step explanation:

tan = perpendicular / base

acc. to diagram ,

angle C = 90°

such that

AB is hypotenuse

acc to theta ,

AC is perpendicular and BC is base

therefore

tan theta = AC / BC

tan theta = 8/15

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In Quebec, 90 percent of the population subscribes to the Roman Catholic religion. In a random sample of eight Quebecois, find t
AysviL [449]

Answer:

Probability that the sample contains at least five Roman Catholics = 0.995 .

Step-by-step explanation:

We are given that In Quebec, 90 percent of the population subscribes to the Roman Catholic religion.

The Binomial distribution probability is given by;

 P(X = r) = \binom{n}{r}p^{r}(1-p)^{n-r} for x = 0,1,2,3,.......

Here, n = number of trials which is 8 in our case

         r = no. of success which is at least 5 in our case

         p = probability of success which is probability of Roman Catholic of

                 0.90 in our case

So, P(X >= 5) = P(X = 5) + P(X = 6) + P(X = 7) + P(X = 8)

= \binom{8}{5}0.9^{5}(1-0.9)^{8-5} + \binom{8}{6}0.9^{6}(1-0.9)^{8-6} + \binom{8}{7}0.9^{7}(1-0.9)^{8-7} + \binom{8}{8}0.9^{8}(1-0.9)^{8-8}

= 56 * 0.9^{5} * (0.1)^{3} + 28 * 0.9^{6} * (0.1)^{2} + 8 * 0.9^{7} * (0.1)^{1} + 1 * 0.9^{8}

= 0.995

Therefore, probability that the sample contains at least five Roman Catholics is 0.995.

3 0
3 years ago
What is the domain of the following parabola? (5 points)
nikitadnepr [17]

Answer:

the domain for this parabola is all real numbers

6 0
3 years ago
What does the simple interest stand for? Interest = Principal x Rate x Time Interest = Per unit x Rate x Time Interest = Price x
ValentinkaMS [17]

9514 1404 393

Answer:

  (a)  Interest = Principal x Rate x Time

Step-by-step explanation:

The letters in the simple interest formula ...

  I = Prt

stand for ...

  Interest = Principal x Rate x Time

8 0
3 years ago
Write an equation in slope intercept form that passes through the point (3,9) and has a slope of -5
Anna35 [415]

Answer:

y= -5x +24

Step-by-step explanation:

<u>Slope-intercept form</u>

y= mx +c, where m is the slope and c is the y-intercept.

Given that the slope is -5, m= -5.

Substitute m= -5 into the equation:

y= -5x +c

To find the value of c, substitute a pair of coordinates that the line passes through into the equation:

When x= 3, y= 9,

9= -5(3) +c

9= -15 +c

c= 9 +15

c= 24

Thus, the equation of the line is y= -5x +24.

5 0
2 years ago
Want me a good Night was a great night okey what is five Times 35
Oksana_A [137]

Answer:

175

Step-by-step explanation:

35 * 5 = 175

4 0
3 years ago
Read 2 more answers
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