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3 years ago

Find the length of the third side. If necessary, round to the nearest tenth. 20 25

Mathematics

2 answers:

Fynjy0 [20]3 years ago

8 0

Answer:

Step-by-step explanation:

hypotenuse (h) = 25

perpendicular (p) = 20

base (b) = ?

we know by using Pythagoras theorem we get

b = √h² - p²

= √25² - 20²

= √225

= 15

katrin2010 [14]3 years ago

5 0

15 because my teacher said is yet

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What is the equation to the line that goes through the point

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perpendicular slope is negative reciprocal. -1/-1 = 1

y - 4 = x +3

y = x + 7

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3 years ago

What is the equation of a line that has a slope of 0 and passes through (5, −2)?

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y=-2

Step-by-step explanation:

if line has zero slope (b) it means that b is undefined.

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3 years ago

The amount of time all students in a very large undergraduate statistics course take to complete an examination is distributed c

Anestetic [448]

Answer:

a) The mean is $\mu = 60$

b) The standard deviation is $\sigma = 9$

Step-by-step explanation:

Normal Probability Distribution:

Problems of normal distributions can be 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.

The probability a student selected at random takes at least 55.50 minutes to complete the examination equals 0.6915.

This means that when X = 55.5, Z has a pvalue of 1 - 0.6915 = 0.3085. This means that when $X = 55.5, Z = -0.5$

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

$-0.5 = \frac{55.5 - \mu}{\sigma}$

$-0.5\sigma = 55.5 - \mu$

$\mu = 55.5 + 0.5\sigma$

The probability a student selected at random takes no more than 71.52 minutes to complete the examination equals 0.8997.

This means that when X = 71.52, Z has a pvalue of 0.8997. This means that when $X = 71.52, Z = 1.28$

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

$1.28 = \frac{71.52 - \mu}{\sigma}$

$1.28\sigma = 71.52 - \mu$

$\mu = 71.52 - 1.28\sigma$

Since we also have that $\mu = 55.5 + 0.5\sigma$

$55.5 + 0.5\sigma = 71.52 - 1.28\sigma$

$1.78\sigma = 71.52 - 55.5$

$\sigma = \frac{(71.52 - 55.5)}{1.78}$

$\sigma = 9$

$\mu = 55.5 + 0.5\sigma = 55.5 + 0.5*9 = 55.5 + 4.5 = 60$

Question

The mean is $\mu = 60$

The standard deviation is $\sigma = 9$

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3 years ago

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Kazeer [188]

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3 years ago

Read 2 more answers

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Troyanec [42]

Answer:

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Step-by-step explanation:

20min/1hr

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Question order asks ratio from outside time to inside time so the 40 would come first. also, all the above are correct. You can write a ratio as a fraction, with a colon, or with the word to.

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3 years ago