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Julli [10]
3 years ago
5

A ball is thrown from an initial height of 2 meters with an initial upward velocity of 20 m/s. The ball's height h (in meters) a

fter t seconds is given by h=2+20t-5t^2. find all values of t for which the ball's height is 12 meters. Round your answers to the nearest tenth of a second.
Mathematics
1 answer:
vovangra [49]3 years ago
6 0
So 12 = 2 + 20t -5t^2

5t^2 -20t + 10=0

t^2 -4t + 2 = 0

Use quadratic formula to solve
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Lilit [14]

Answer:

(f+g)(x) = -3x+5

Step-by-step explanation:

f(x)=x+8 and g(x)=-4x-3

(f+g)(x) = f(x) + g(x)

             = x+8+-4x-3

             = -3x+5

3 0
3 years ago
The volume of a shampoo filled into a container is uniformly distributed between 370 and 385 milliliters. (a) What are the mean
Olenka [21]

Answer:

(a) mean = 377.5ml. standard deviation = 4.33

(b) 0.333

(c) 384.25 ml

Step-by-step explanation:

(a)The mean:

\mu = \frac{385 + 370}{2} = 377.5 ml

The standard deviation:

\sigma = \frac{385 - 370}{\sqrt{12}} = 4.33

(b)

P(x < 375) = \frac{375 - 370}{385 - 370} = \frac{1}{3} \approx 0.333

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m - 370 = 14.25

m = 384.25ml

So the volumn of shampoo should be 384.25ml to exceed 95% of containers.

7 0
3 years ago
If a student was randomly guessing while completing a 20 question multiple choice exam, what is the probability they would score
mario62 [17]

Answer:

you want 4 correct and 16 incorrect

there are 20 questions

each question has four answers, so

P(right answer) = 1/4

P(wrong answer) = 3/4

----

Since you want 4 correct of 20 we have a combination of 20C4

This is a binomial problem where p = 1/4, q = 3/4 and we get

(20 "choose" 4)*(probability correct)^(number correct)*(probability incorrect)^(number incorrect)

putting numbers in we get

(20c4)*(1/4)^4*(3/4)^16

This gives us

~ .189685

Step-by-step explanation:

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3 years ago
What is the standard form of x + 4 -5x -2
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-4x-2+4
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3 years ago
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