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xxMikexx [17]
3 years ago
12

In a large population, 64% of the people have been vaccinated. If 5 people are randomly selected, what is the probability that A

T LEAST ONE of them has been vaccinated? Give your answer as a decimal to 4 places.
Mathematics
1 answer:
german3 years ago
8 0

Answer:

0.9940

Step-by-step explanation:

P(at least 1) = 1 − P(zero)

P(at least 1) = 1 − (1 − 0.64)⁵

P(at least 1) = 1 − (0.36)⁵

P(at least 1) = 0.9940

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Evaluate the expression for u = –8 and v = 2.<br><br> uv − u
sp2606 [1]

Answer:

- 8

Step-by-step explanation:

- 8 × 2 - (- 8)

- 8 × 2 + 8

- 16 + 8

- 8

4 0
2 years ago
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Write 8/6 as a fraction with a denominator of 3
Lyrx [107]
4/3 is your answer because if you simplify 8/6 by dividing both the numerator and the denominator by 2, you will get 4/3.

Also, if you want a mixed number, it is 1 1/3.

Hope this helps!
8 0
3 years ago
What is the answer to the problem 21+40(2x-3)
12345 [234]

Answer:

x = 1.2375 or 99/90

Step-by-step explanation:

<u>Step 1:  Distribute</u>

21 + 40(2x - 3)

21 + 80x - 120

<u>Step 2:  Combine like terms</u>

21 + 80x - 120

80x - 99

<u>Step 3:  Solve for x</u>

80x - 99 + 99 = 0 + 99

80x / 80 = 99 / 80

x = 1.2375

Answer:  x = 1.2375 or 99/80

3 0
3 years ago
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PLEASE HELP I DO NOT UNDERSTAND AT ALL ITS PRECALC PLEASE SERIOUS ANSWERS
Elina [12.6K]

You want to end up with A\sin(\omega t+\phi). Expand this using the angle sum identity for sine:

A\sin(\omega t+\phi)=A\sin(\omega t)\cos\phi+A\cos(\omega t)\sin\phi

We want this to line up with 2\sin(4\pi t)+5\cos(4\pi t). Right away, we know \omega=4\pi.

We also need to have

\begin{cases}A\cos\phi=2\\A\sin\phi=5\end{cases}

Recall that \sin^2x+\cos^2x=1 for all x; this means

(A\cos\phi)^2+(A\sin\phi)^2=2^2+5^2\implies A^2=29\implies A=\sqrt{29}

Then

\begin{cases}\cos\phi=\frac2{\sqrt{29}}\\\sin\phi=\frac5{\sqrt{29}}\end{cases}\implies\tan\phi=\dfrac{\sin\phi}{\cos\phi}=\dfrac52\implies\phi=\tan^{-1}\left(\dfrac52\right)

So we end up with

2\sin(4\pi t)+5\cos(4\pi t)=\sqrt{29}\sin\left(4\pi t+\tan^{-1}\left(\dfrac52\right)\right)

8 0
2 years ago
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3t/2+4t/3 I need help I suck at math
Mice21 [21]

Answer:

17 /6 t

Step-by-step explanation:

3t2+4t3

=32t+43t

Combine Like Terms:

=32t+43t

=(32t+43t)

=176t

5 0
3 years ago
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