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3 years ago

If a fair coin is tossed 7 times, what is the probability, to the nearest thousandth, of getting exactly 5 heads?

Mathematics

1 answer:

Airida [17]3 years ago

8 0

Answer:

0.164

Step-by-step explanation:

delta math said so but

n=7 ; r=5; p=1/2

q= 1- 1/2 = 1/2

7c5(1/2)^5 (1/2)^2 = 0.16406 which is 0.164

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Answer:

$648.5

Step-by-step explanation:

Given data

Principal= $6,500

Rate= 2.5%

Time= 5 years

The compound interest formula is given as

A= P(1+r)^t

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3 years ago

A model rocket is launched directly upward at a speed of 28 meters per second from a height of 12 meters. The function f(t) = -

Jet001 [13]

Answer:

6.11 seconds

Step-by-step explanation:

Given

$f(t) = -4.9t^2 + 28t + 12$

Required

When will it hit the ground?

When it hits the ground, f(t) = 0.

So, we have:

$0 = -4.9t^2 + 28t + 12$

Solve quadratic equation using formula

$t = \frac{-b \± \sqrt{b^2 - 4ac}}{2a}$

$t = \frac{-28 \± \sqrt{28^2 - 4*-4.9*12}}{2*-4.9}$

$t = \frac{-28 \± \sqrt{1019.2}}{-9.8}$

$t = \frac{-28 \± 31.92}{-9.8}$

Split

$t = \frac{-28 + 31.92}{-9.8}$ or $t = \frac{-28 - 31.92}{-9.8}$

$t = \frac{3.92}{-9.8}$ or $t = \frac{-59.92}{-9.8}$

$t = -0.4$ or $t = 6.11$

Time can not be negative. So:

$t = 6.11$

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