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nikdorinn [45]
2 years ago
12

How would i do this?

Mathematics
1 answer:
Dominik [7]2 years ago
5 0

Answer:

5/6 or 0.83333333  

Step-by-step explanation:

 

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What is the value of |−32|?<br><br> Numerical answer expected
Sever21 [200]

32

The absolute value takes the distance from zero, it doesn’t matter weather it is positive or negatively

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Amanda can jog 18 miles in 5 hours.<br> At this rate, how many miles can Amanda jog in 4 hours?
vekshin1

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14.4 miles

Step-by-step explanation:

5 goes into 18 3.6 times and 3.6 x 4 = 14.4, she can run 3.6 miles per hour

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(-2) + 4 = 4 + (-2)
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It's D the comunicative property of addition
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3 years ago
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A camper wants to know the width of a river. From point A, he walks downstream 60 feet to point B and sights a canoe across the
Anarel [89]
<h2>Hello!</h2>

The answer is:

The correct option is:

D. 40 feet.

<h2>Why?</h2>

To solve the problem and calculate the width of the river, we need to assume that the distance from A to B and the angle formed between that distance and the distance from A to the other point (C) is equal to 90°, meaning that we are working with a right triangle, also, we need to use the given angle which is equal to 34°. So, to solve the problem we can use the following trigonometric relation:

Tan\alpha =\frac{Opposite}{Adjacent}

Where,

alpha is the given angle, 34°

Adjacent is the distance from A to B, which is equal to 60 feet.

Opposite is the distance from A to C which is also equal to the width of the river.

So, substituting and calculating we have:

Tan(34\°) =\frac{Width}{60ft}

Width=60ft*Tan(34\°)=60ft*0.67=40.2ft=40ft

Hence, we have that the correct option is:

D. 40 feet.

Have a nice day!

6 0
2 years ago
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If IQ scores are normally distributed with a mean of 100 and a standard deviation of 5, what is the probability that a person se
notsponge [240]

Answer:

2.28% probability that a person selected at random will have an IQ of 110 or higher

Step-by-step explanation:

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.

In this problem, we have that:

\mu = 100, \sigma = 5

What is the probability that a person selected at random will have an IQ of 110 or higher?

This is 1 subtracted by the pvalue of Z when X = 110. So

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

Z = \frac{110 - 100}{5}

Z = 2

Z = 2 has a pvalue of 0.0228

2.28% probability that a person selected at random will have an IQ of 110 or higher

5 0
3 years ago
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