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Oliga [24]
3 years ago
13

Kelly flips a coin 10 times. The coin lands on tails 6 times. Which of the following statements are true? (More than one stateme

nt may be correct!)
Mathematics
1 answer:
Marina CMI [18]3 years ago
7 0

Even though you dont have the statements, she flipped the coin and 60% of the time the result of the coin flip was tails, 40% of the flips were heads.

Even though she got tails 20% more than heads, she still has a 50-50% probability of getting heads or tails.

Heads to tails rate was 4:6

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Find the angle between u = (-2,-5) and v = (5,2)
OleMash [197]

The angle between u = (-2,-5) and v = (5,2) is 134 degrees approximately.

<u>Solution:</u>

Given, two vectors are u = (-2, -5) and v = (5, 2)

We have to find the angle between two vectors.

We know that,

a. b=\|a\| .\|b\| \times \cos \theta

where \theta is angle between vectors a and b

\text { Now vectors are }(-2 \vec{\imath}-5 \vec{\jmath}) \text { and }(5 \vec{\imath}+2 \vec{\jmath})

(-2 \vec{\imath}-5 \vec{\jmath}) \cdot(5 \vec{\imath}+2 \vec{\jmath})=\sqrt{(-2)^{2}+(-5)^{2}} \times \sqrt{5^{2}+2^{2}} \times \cos \theta

\text { since }\|a\|=\sqrt{x^{2}+y^{2}} \text { for } a=x \vec{\imath}+y \vec{\jmath}

\begin{array}{l}{-10-10=\sqrt{29} \times \sqrt{29} \times \cos \theta} \\\\ {-20=29 \times \cos \theta} \\\\ {\cos \theta=\frac{-20}{29}} \\\\ {\theta=\cos ^{-1} \frac{-20}{29}} \\\\ {\theta=133.60}\end{array}

Hence, the angle between given two vectors is 134 degrees approximately.

3 0
3 years ago
2. Which of the following statements describes the graph below?
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Answer:

B. and D i think

Step-by-step explanation:

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2 years ago
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There are 28 students in Mr. Flynn’s class. The ratio of his students who are in the play to those who are not in the play is 2:
pickupchik [31]
8 students in the play, 20 are not
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To find these percents, you need to find the z-score for each value. Then, use your table to find the correct percent. Be sure to find the side above 13 when you use your chart.

For less than 3:
(3 - 7.45) / 3.6 = -1.24 = The percent below this is 0.1075

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(13 - 7.45) / 3.6 = 1.54 = The percent above this is 0.0618
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3 years ago
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