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2 years ago

Event A has probability 0.2. Event B has probability 0.6. If the probability that both events occur is 0.1, then P(A and B) is

Mathematics

1 answer:

4vir4ik [10]2 years ago

7 0

Step mom

Step-by-step explanation:

mommy mommy mommy mommy mommy

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PLEASE HELP ASAP

dsp73

Answer:

Cubed root of 9

Step-by-step explanation:

3^(2/3)

=³√3²

= ³√9

4 0

2 years ago

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The distance between the two points pictured is d= Vn

katrin [286]

the distance between points is:

d = 7.8 units

d = root ((x2-x1) ^ 2 + (y2-y1) ^ 2)

The ordered pairs are:

(x1, y1) = (- 3, -2)

(x2, y2) = (2,4)

By applying the formula we have:

d = root ((2 - (- 3)) ^ 2 + (4 - (- 2)) ^ 2)

d = root (61)

d = 7.8

5 0

3 years ago

Priya rode her bike 1250 feet. If her bike wheel has a diameter of 2.5 feet, how many times did her wheel make a full rotation?

Alex17521 [72]

Answer:

159 times

Step-by-step explanation:

<h3>Given</h3>

d = 2.5 ft
Distance = 1250 ft

Number of rotations

<h3>Solution</h3>

<u>Circumference of the wheel is the one full rotation:</u>

C = πd = 3.14*2.5 = 7.85 ft

<u>Number rotations:</u>

1250/7.85 = 159.2

<u>Correct option is</u> 159 times

5 0

3 years ago

Find sinϴ and cosϴ if tanϴ=1/4 and sinϴ>0

eduard

If you're using the app, try seeing this answer through your browser: brainly.com/question/2787701

_______________

$\mathsf{tan\,\theta=\dfrac{1}{4}\qquad\qquad(sin\,\theta\ \textgreater \ 0)}\\\\\\
\mathsf{\dfrac{sin\,\theta}{cos\,\theta}=\dfrac{1}{4}}\\\\\\
\mathsf{4\,sin\,\theta=cos\,\theta\qquad\quad(i)}$

Square both sides:

$\mathsf{(4\,sin\,\theta)^2=(cos\,\theta)^2}\\\\
\mathsf{4^2\,sin^2\,\theta=cos^2\,\theta}\\\\
\mathsf{16\,sin^2\,\theta=cos^2\,\theta\qquad\qquad(but,~cos^2\,\theta=1-sin^2\,\theta)}\\\\
\mathsf{16\,sin^2\,\theta=1-sin^2\,\theta}$

$\mathsf{16\,sin^2\,\theta+sin^2\,\theta=1}\\\\
\mathsf{17\,sin^2\,\theta=1}\\\\
\mathsf{sin^2\,\theta=\dfrac{1}{17}}\\\\\\
\mathsf{sin\,\theta=\pm\,\sqrt{\dfrac{1}{17}}}\\\\\\
\mathsf{sin\,\theta=\pm\,\dfrac{1}{\sqrt{17}}}$

Since $\mathsf{sin\,\theta}$ is positive, you can discard the negative sign. So,

$\mathsf{sin\,\theta=\dfrac{1}{\sqrt{17}}\qquad\quad\checkmark}$

Substitute this value back into $\mathsf{(i)}$ to find $\mathsf{cos\,\theta:}$

$\mathsf{4\cdot \dfrac{1}{\sqrt{17}}=cos\,\theta}\\\\\\
\mathsf{cos\,\theta=\dfrac{4}{\sqrt{17}}\qquad\quad\checkmark}$

I hope this helps. =)

Tags: <em>trigonometric identity relation trig sine cosine tangent sin cos tan trigonometry precalculus</em>

7 0

3 years ago

9:37 pm is how<br> many minutes<br> after 9.08 pm?

artcher [175]

Answer:

29 is the answer

Step-by-step explanation:

the answer is 29

4 0

3 years ago

Read 2 more answers