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eimsori [14]
2 years ago
9

A ___ problem is a mathematical problem dealing with the distance, rate, and time of an object traveling at a uniform rate of sp

eed.
Mathematics
1 answer:
andrezito [222]2 years ago
5 0

Answer:

Uniform motion problem

Step-by-step explanation:

Uniform motion problems are the problems of mathematics in which the problems are associated with distance, time, speed of the motion. The values of distance, time and rate of speed are stated in the questions. Any one value is to be found when the two are given. The distance covered by the object is calculated by multiplying the rate of the speed and the time in which the distance was covered.

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The annual precipitation amounts in a certain mountain range are normally distributed with a mean of 104 inches, and a standard
dsp73

Answer:

91.92% probability that the mean annual precipitation during 49 randomly picked years will be less than 106.8 inches

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 random variable X, with mean \mu and standard deviation \sigma, the sample means with size n of at least 30 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 = 104, \sigma = 14, n = 49, s = \frac{14}{\sqrt{49}} = 2

What is the probability that the mean annual precipitation during 49 randomly picked years will be less than 106.8 inches

This is the pvalue of Z when X = 106.8. So

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

By the Central Limit Theorem

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

Z = \frac{106.8 - 104}{2}

Z = 1.4

Z = 1.4 has a pvalue of 0.9192

0.9192 = 91.92% probability that the mean annual precipitation during 49 randomly picked years will be less than 106.8 inches

8 0
3 years ago
In an isosceles triangle the length of the base is 10 cm
lawyer [7]

The computation shows the radius of the circle that is inscribed in the isosceles triangle will be 3.33cm.

<h3>How to calculate the radius?</h3>

From the information given, the isosceles triangle the length of a base is 10 cm and the length of a leg is 13 cm.

Let A = area of the triangle

Let S = semi perimeter of the triangle.

The radius will be: = A/S

where,

S = \dfrac{(a + b + c)}{2} = \dfrac{(13 + 13 + 10)}{2} = 18

The radius will be:

 =\dfrac{(\sqrt{18} - \sqrt{13})(\sqrt{18} - \sqrt{13})(\sqrt{18} - \sqrt{10})} { 18}

= 3.33cm

In conclusion, the radius is 3.33cm.

Learn more about triangles on:

brainly.com/question/17335144

#SPJ4

5 0
2 years ago
Pls Help I’m stuckThere are 89 students in the Oakwood Middle School band. The number of boys in the band is 5 more than twice t
Rasek [7]

Answer:

42

Step-by-step explanation:

5 more than 2 times the girls

89=5+2x

x=42

4 0
2 years ago
Plz help I’m so stuck
iris [78.8K]
I dont believe there is any figure we can see, take a larger picture please
8 0
3 years ago
Cherries cost $5 for two pounds and $7.50 for 3 pounds. a. What is the cost per pound? b. Is it constant? c. If you were to grap
Debora [2.8K]
It is Constant. The cost per pound is 2.50 dollars. two would be on the x-axis, and 5 dollars would be on the y-axis. likewise, 3 would be on the x-axis, and 7.50 dollars is on the y-axis. 5 pounds would cost : $12.50
4 0
3 years ago
Read 2 more answers
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