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Vladimir [108]
3 years ago
11

A missile is fired such that its height above the ground is given by h=-9.8t^2+38.2t+6.5, where t represents the number of secon

ds since the rocket was fired. Using the quadratic formula, determine, to the nearest tenth of a second, when the rocket will hit the ground.
Please I need help with this question
Mathematics
1 answer:
trasher [3.6K]3 years ago
7 0

Answer:

4.1 sec

Step-by-step explanation:

-9.8t^2 +38.2t + 6.5 = 0

t = \frac{-38.2 +-\sqrt{38.2^2{ - 4(-9.8)(6.5)} } }{2(9.8}

 =  \frac{-38.2 +- \sqrt{1459.24 + 254.8} }{-19.6}

 = \frac{-38.2 +- \sqrt{1714.04} }{-19.6}

 = \frac{-38.2 +- 41.4}{-19.6}

 = \frac{-79.6}{-19.6}

 = 4.1

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Eight percent of all college graduates hired by companies stay with the same company for more than five years. The probability,
Maurinko [17]

Answer:

0.1662 = 16.62% probability that exactly 2 will stay with the same company for more than five years

Step-by-step explanation:

For each graduate, there are only two possible outcomes. Either they stay for the same company for more than five years, or they do not. Graduates are independent. This means that we use the binomial probability distribution to solve this question.

Binomial probability distribution

The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.

P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}

In which C_{n,x} is the number of different combinations of x objects from a set of n elements, given by the following formula.

C_{n,x} = \frac{n!}{x!(n-x)!}

And p is the probability of X happening.

Eight percent of all college graduates hired by companies stay with the same company for more than five years.

This means that p = 0.08

Sample of 11 college graduates:

This means that n = 11

The probability, rounded to four decimal places, that in a random sample of 11 such college graduates hired recently by companies, exactly 2 will stay with the same company for more than five years is: the absolute tolerance is +-0.0001

The tolerance means that the answer is rounded to four decimal places.

The probability is P(X = 2). So

P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}

P(X = 2) = C_{11,2}.(0.08)^{2}.(0.92)^{11} = 0.1662

0.1662 = 16.62% probability that exactly 2 will stay with the same company for more than five years

4 0
3 years ago
Help asap will give BRAINLIEST
dybincka [34]

The answer: d. < 1 and < 8

5 0
3 years ago
What is the index? <br><img src="https://tex.z-dn.net/?f=%20-%2012%20%5Csqrt%5B5%5D%7B7x%7D%20" id="TexFormula1" title=" - 12 \s
Lyrx [107]
12(7x)^1/5

This is simplification into index form, the index itself is the 5th root of 7x if you just wanted to state what it is
7 0
3 years ago
Read 2 more answers
Add the two expressions. 8.9x−5 and −6.8x+8 Enter your answer, in simplified form, in the box.
Verizon [17]
Let's simplify step-by-step.<span><span><span><span>8.9x</span>−5</span>−<span>6.8x</span></span>+8</span><span>=<span><span><span><span><span><span>8.9x</span>+</span>−5</span>+</span>−<span>6.8x</span></span>+<span>8

</span></span></span>Combine Like Terms:<span>=<span><span><span><span>8.9x</span>+<span>−5</span></span>+<span>−<span>6.8x</span></span></span>+8</span></span><span>=<span><span>(<span><span>8.9x</span>+<span>−<span>6.8x</span></span></span>)</span>+<span>(<span><span>−5</span>+8</span>)</span></span></span><span>=<span><span>2.1x</span>+<span>3

The simplified answer is </span></span></span><span><span>2.1x</span>+<span>3</span></span>
8 0
3 years ago
Problem solving 123456 to multiplication using all the numbers once
Degger [83]

Answer:

720.

Step-by-step explanation:

1*2*3*4 * 5*6

= 24 * 30

= 720.

Splitting it up in this way makes it easier.

5 0
3 years ago
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