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alina1380 [7]
3 years ago
14

Measure to the correct location on the imaige not all angle measures will be used

Mathematics
1 answer:
Ilia_Sergeevich [38]3 years ago
5 0

The answer is less than 90 but greater than 35. because the other angles look as if they are 105 I would say that the answer is 75

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When does it reach maximum height?<br><br> H(t)=-16t^2+112t+288
ivolga24 [154]

Answer:

484 feet  maximum

Step-by-step explanation:

H(t)=-16t^2+112t+288

The maximum height occurs at the vertex of this graph.  

Let us find the vertex.

vertex x-coordinate = -b/2a

x =  -b/2a = -(112)/ (2*-16) =  7/2 sec.

H(7/2) = - 16 *(7/2)^2 + 112*(7/2) +  288

H(7/2) = -196 + 392 + 288 = 484 feet ..

5 0
2 years ago
Connor believed that he did not do well in his ABC physics test. All ABC physics test scores are normally distributed with a mea
jenyasd209 [6]

Answer:

Yes! he passed

Step-by-step explanation:

8 0
3 years ago
A distribution of values is normal with a mean of 220 and a standard deviation of 13. From this distribution, you are drawing sa
Paraphin [41]

Answer:

The interval containing the middle-most 48% of sample means is between 218.59 to 221.41.

Step-by-step explanation:

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

Normal probability distribution

Problems of normally distributed samples are solved using 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 distributied random variable X, with mean \mu and standard deviation \sigma, the sample means with size n can be approximated to a normal distribution with mean \mu and standard deviation s = \frac{\sigma}{\sqrt{n}}

In this problem, we have that:

\mu = 220, \sigma = 13, n = 35, s = \frac{13}{\sqrt{35}} = 2.1974

Find the interval containing the middle-most 48% of sample means:

50 - 48/2 = 26th percentile to 50 + 48/2 = 74th percentile. So

74th percentile

value of X when Z has a pvalue of 0.74. So X when Z = 0.643.

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

By the Central Limit Theorem

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

0.643 = \frac{X - 220}{2.1974}

X - 220 = 0.643*2.1974

X = 221.41

26th percentile

Value of X when Z has a pvalue of 0.26. So X when Z = -0.643

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

-0.643 = \frac{X - 220}{2.1974}

X - 220 = -0.643*2.1974

X = 218.59

The interval containing the middle-most 48% of sample means is between 218.59 to 221.41.

5 0
3 years ago
one-third of a number x is equal to 22 less than the number. Write and solve an equation to find the number.
vitfil [10]
1/3x=x-22
Add 22 to both sides to get 22+1/3x=x
Subtract 1/3x from both sides to get 22=2/3x
Multiply each side by 3/2 to get x=33!
4 0
2 years ago
What is the percent of decrease from 100 to 38?
Ipatiy [6.2K]

Answer: 62

Step-by-step explanation:

100 - x = 38

x =62

7 0
2 years ago
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