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viktelen [127]
2 years ago
8

Stacy uses a spinner with six equal sections numbered 2, 2, 3, 4, 5, and 6 to play a game. Stacy spins the pointer 120 times and

records the results. The pointer lands 30 times on a section numbered 2, 19 times on 3, 25 times on 4, 29 times on 5, and 17 times on 6.
Write a probability model for this experiment
Mathematics
1 answer:
Zarrin [17]2 years ago
3 0
Answer:
idk sorry i need to ask a question.
explanation:
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Which expression is equivalent to sin7pi/6?
elena-14-01-66 [18.8K]

For this case we must find an expression equivalent to:

Sin (\frac {7 \pi} {6})

According to the unit circle, \frac {7 \pi} {6} is in the third quadrant and equals 210 degrees.

Then, we must find an expression equivalent to:

Sin (210) = - \frac {1} {2} = - 0.5

We have to:

\frac{11 \pi} {6}

It is in the fourth quadrant and is equivalent to 330 degrees, according to the unit circle.

Sin (330) = - \frac {1} {2} = - 0.5

Answer:

Option D

3 0
2 years ago
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For which values of k does the system of linear equations have zero, one, or an infinite number of solutions? [Note: not all thr
anastassius [24]

Answer:

For k = 36, there is 0 solutions

For other values of k, there is 1

We never got infinite solutions on the system.

Step-by-step explanation:

We have 2 unknowns and 2 equations:

E1     8x1 + x2 = 18

E2    k*22 x1 + 9 x2 = 18

If we multiply the E1 by 9 we obtain

E3     72 x1 + 9x2 = 162

if we substract E3 with E2 we obtain

(72- 2k) x1 = 144

Thus,

x1 = 144/ (72-2k)

That is, if 72-2k = 0, otherwise there is no solution. And 72-2k = 0 when k = 72/2 = 36.

If k is not 36, then

x1 = 144/(72-2k) and we can replace this value to obtain x2 by using E1

x2 = 18-8x1 = 18- 8 * (144/72-2k)

Which is a specific number that depends only on k. Thus,

for k = 36, there is 0 solutions

for other values of k, there is unique solution.

4 0
2 years ago
If ∆ABC and ∆GEF are congruent, the value of x is___? and the value of y is ___?
attashe74 [19]

<u>Answer-</u>

<em>The value of y is </em><em>6 units</em><em>.</em>

<u>Solution-</u>

Given ∆ABC ≅ ∆GEF

If two triangles are congruent, then the corresponding sides are also congruent.

So,

EF = BC, GF = AC

Putting the values,

\Rightarrow x-y=4 --------------1

\Rightarrow x-8=2

\Rightarrow x=10 --------------------2

Putting the values of x in equation 1,

\Rightarrow 10-y=4

\Rightarrow y=10-4=6

Therefore, the value of y is 6 units.

7 0
2 years ago
Read 2 more answers
Tickets to a movie cost $5 for adults and $3 for students. A group of friends purchased 18 tickets for $82.00. How many adults t
TEA [102]

Answer:

They purchased 14 adult tickets and 4 kids tickets.

Step-by-step explanation:

14 x 5 = 70

3x4=12

and then add 70 plus 12 to get 82 dollars.

7 0
2 years ago
The Venn diagram shows the results of two events resulting from rolling a number cube.
tankabanditka [31]

Answer:

P(A|B)=\frac{2}{3}

P(A)*P(B)=\frac{1}{3}

P(A) =\frac{2}{3}

P(B) =\frac{1}{2}.

Step-by-step explanation:

We use the Venn diagram to calculate the desired probabilities.

Note that there are 6 possible results in the sample space

S = {1, 2, 3, 4, 5, 6}

Then note that in the region representing the intercept of A and B there are two possible values.

So

P (A\ and\ B) = \frac{2}{6} = \frac{1}{3}

In the region that represents event A there are 4 possible outcomes {4, 5, 1, 2}

So

P(A) = \frac{4}{6} = \frac{2}{3}

In the region that represents event B there are 3 possible outcomes {1, 2, 6}

So

P(B) = \frac{3}{6} = \frac{1}{2}.

Now

P(A | B)=\frac{P(A \ and\ B)}{P(B)}\\\\P(A | B)=\frac{\frac{1}{3}}{\frac{1}{2}}\\\\P(A|B)=\frac{2}{3}

P(A)*P(B)=\frac{2}{3}*\frac{1}{2}=\frac{1}{3}

6 0
2 years ago
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