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sveta [45]
3 years ago
12

Work out plz I’ll give you brainliest

Mathematics
1 answer:
Finger [1]3 years ago
5 0

Answer:

a

Step-by-step explanation:

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8. The height of a ball t seconds after
Nina [5.8K]

Answer:

B) 16

Step-by-step explanation:

We have h(t)=0, because the ball is on the ground.

So we have:

-8(2t-32)=0

2t-32=0

2t=32

t=16

It took 16 sec

4 0
3 years ago
Multiply and subtract these polynomials and simplify. Enter your response in standard form. (2x^3 − 3x + 11) − (3x^2 + 1)(4 − 8x
Lera25 [3.4K]

Answer:

=26x^3−12x^2+5x+7

Step-by-step explanation:

2x^3−3x+11−(3x^2+1)(4−8x)

Distribute:

=2x^3+−3x+11+24x^3+−12x^2+8x+−4

Combine Like Terms:

=2x^3+−3x+11+24x^3+−12x2+8x+−4

=(2x^3+24x^3)+(−12x^2)+(−3x+8x)+(11+−4)

=26x^3+−12x^2+5x+7

5 0
3 years ago
Read 2 more answers
Each contestant in the Hunger Games must be trained to compete. Suppose that the time it takes to train a contestant has mean 5
LiRa [457]

Answer:

11.51% probability that it will take less than 450 days to train all the contestants.

Step-by-step explanation:

To solve this question, we need to understand the normal probability distribution and the central limit theorem.

Normal probability distribution

When the distribution is normal, we use the z-score formula.

In a set with mean \mu and standard deviation \sigma, the zscore of a measure X is given by:

Z = \frac{X - \mu}{\sigma}

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.

Central Limit Theorem

The Central Limit Theorem estabilishes that, for a normally distributed random variable X, with mean \mu and standard deviation \sigma, the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean \mu and standard deviation s = \frac{\sigma}{\sqrt{n}}.

For a skewed variable, the Central Limit Theorem can also be applied, as long as n is at least 30.

For the sum of n variables, the mean is \mu*n and the standard deviation is s = \sigma\sqrt{n}

In this question:

n = 100, \mu = 100*5 = 500, s = 4\sqrt{100} = 40

Approximate the probability that it will take less than 450 days to train all the contestants.

This is the pvalue of Z when X = 450.

Z = \frac{X - \mu}{\sigma}

By the Central Limit Theorem

Z = \frac{X - \mu}{s}

Z = \frac{450 - 500}{40}

Z = -1.2

Z = -1.2 has a pvalue of 0.1151

11.51% probability that it will take less than 450 days to train all the contestants.

8 0
3 years ago
Joel earns $5.50 an hour and time-and-a-half for overtime. how much does he earn for a 44.5-hour week?
vova2212 [387]
The expression which can be used to solve this problem is 5.50h + 1.5h. 

Since the given data is 44.5 hour week, all we need to do is substitute the given data to the expression. Since it takes 56 hours a week for a complete office/working hour without overtime, Joel's 44.5 hour week means he did not have overtime hours. Therefore the solution is,

5.50(44.5) = 244.75 Dollars.
3 0
3 years ago
Solve the equation a = m – n for the variable n.
MaRussiya [10]

Answer:

m - a = n

Step-by-step explanation:

<u>Step 1:  Subtract m from both sides </u>

a - m = m - n - m

a - m = -n

<u>Step 2:  Divide both sides by -1 </u>

(a - m) / -1 = -n / -1

-a + m = n

m - a = n

Answer:  m - a = n

8 0
3 years ago
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