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Ivenika [448]
2 years ago
11

Analyze the graph of a cannonball launched from the ground with an initial velocity of 144 feet per second. The cannonball reach

ed its maximum height after 4.5 seconds. What was the maximum height the cannonball reached?
Mathematics
2 answers:
MrRissso [65]2 years ago
7 0
We can find that the formula is:
h(t)=-16t^2 + 144t

We are told that the cannonball reaches its maximum height at t = 4.5 seconds. To find the maximum height, let's just plug this into the formula:
h(4.5) = -16(4.5)^2 + 144(4.5) = 324

The height is 324 feet. We're done!
eimsori [14]2 years ago
6 0

Answer:

324 feet

Step-by-step explanation:

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Answer: The formula is x6

Step-by-step explanation:

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3 years ago
Draw a line plot for the fallowing data measured in inches
sladkih [1.3K]
Here you go I hope I helped

4 0
3 years ago
Izzy had an 82 and an 88 on his first two tests and believed that he did well enough on his final exam to keep his B average.​ H
Anastaziya [24]

Answer:

73

Step-by-step explanation:

to find the mean you need to add up all grades and divide if by the number of terms you added

(82 + 88 + x) ÷ 3 = 69 (since we don't know the third grade let's call it x)

170 + x = 69 × 3

x = 37

if the digits transposed the the actual grade would be 73

5 0
3 years ago
A practice law exam has 100 questions, each with 5 possible choices. A student took the exam and received 13 out of 100.If the s
Cloud [144]

Answer:

z=\frac{13-20}{4}=-1.75

Assuming:

H0: \mu \geq 20

H1: \mu

p_v = P(Z

Step-by-step explanation:

The binomial distribution is a "DISCRETE probability distribution that summarizes the probability that a value will take one of two independent values under a given set of parameters. The assumptions for the binomial distribution are that there is only one outcome for each trial, each trial has the same probability of success, and each trial is mutually exclusive, or independent of each other".

Let X the random variable of interest (number of correct answers in the test), on this case we now that:

X \sim Binom(n=100, p=0.2)

The probability mass function for the Binomial distribution is given as:

P(X)=(nCx)(p)^x (1-p)^{n-x}

Where (nCx) means combinatory and it's given by this formula:

nCx=\frac{n!}{(n-x)! x!}

We need to check the conditions in order to use the normal approximation.

np=100*0.2=20 \geq 10

n(1-p)=20*(1-0.2)=16 \geq 10

So we see that we satisfy the conditions and then we can apply the approximation.

If we appply the approximation the new mean and standard deviation are:

E(X)=np=100*0.2=20

\sigma=\sqrt{np(1-p)}=\sqrt{100*0.2(1-0.2)}=4

So we can approximate the random variable X like this:

X\sim N(\mu =20, \sigma=4)

Normal distribution, is a "probability distribution that is symmetric about the mean, showing that data near the mean are more frequent in occurrence than data far from the mean".

The Z-score is "a numerical measurement used in statistics of a value's relationship to the mean (average) of a group of values, measured in terms of standard deviations from the mean".  The letter \phi(b) is used to denote the cumulative area for a b quantile on the normal standard distribution, or in other words: \phi(b)=P(z

The z score is given by this formula:

z=\frac{x-\mu}{\sigma}

If we replace we got:

z=\frac{13-20}{4}=-1.75

Let's assume that we conduct the following test:

H0: \mu \geq 20

H1: \mu

We want to check is the score for the student is significantly less than the expected value using random guessing.

So on this case since we have the statistic we can calculate the p value on this way:

p_v = P(Z

5 0
2 years ago
Create a pattern with the rule. -4.
Bumek [7]
One pattern is 22, 18, 14, 10, 6, 2 hope this helps just keep subtracting 4. You can go from the highest number to the lowest. Thanks for asking!
7 0
3 years ago
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