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Deffense [45]
4 years ago
8

Benjamin is riding a unicycle. The tire of his unicycle has a circumference of 2.8 \text{ m}2.8 m2, point, 8, start text, space,

m, end text, and the tire revolves 1.51.51, point, 5 times per second. What is the distance Benjamin travels in 100100100 seconds
Mathematics
2 answers:
Karo-lina-s [1.5K]4 years ago
8 0

Answer:

420 meters

Step-by-step explanation:

Q. Benjamin is riding a unicycle. The tire of his unicycle has a circumference of 2.8 m, and the tire revolves 1.5 times per second. What is the distance Benjamin travels in 100 seconds?

<u>Given</u>:

Circumference of circular tire = 2.8 meters

Tire revolves per second = 1.5 times

<u>Question asked:</u>

What is the distance Benjamin travels in 100 seconds?

<u>Solution:</u>

Circumference of circular tire means distance covered by the unicycle's tire when it revolves 1 time that is 2.8 meters.

<em><u>Now, by unitary method:</u></em>

In 1 second, tire revolves = 1.5 times

In 100 seconds, tire revolves =  1.5 \times 100

                                                = 150 times

Distance covered by the tire when it revolves 1 time = 2.8 m

Distance covered by the tire when it revolves 150 times = 2.8 \times 150

                                                                                             = 420 meters

Therefore, Benjamin travels 420 meters in 100 seconds.

saveliy_v [14]4 years ago
7 0

Answer:

420 meters

Step-by-step explanation:

Q. Benjamin is riding a unicycle. The tire of his unicycle has a circumference of 2.8 m, and the tire revolves 1.5 times per second. What is the distance Benjamin travels in 100 seconds?

Given:

Circumference of circular tire = 2.8 meters

Tire revolves per second = 1.5 times

Question asked:

What is the distance Benjamin travels in 100 seconds?

Solution:

Circumference of circular tire means distance covered by the unicycle's tire when it revolves 1 time that is 2.8 meters.

Now, by unitary method:

In 1 second, tire revolves = 1.5 times

In 100 seconds, tire revolves =  1.5  100

                                               = 150 times

Distance covered by the tire when it revolves 1 time = 2.8 m

Distance covered by the tire when it revolves 150 times = 2.8  150

                                                                                            = 420 meters

Therefore, Benjamin travels 420 meters in 100 seconds.

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Step-by-step explanation:

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4 years ago
A group of 54 college students from a certain liberal arts college were randomly sampled and asked about the number of alcoholic
aliya0001 [1]

Answer:

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Step-by-step explanation:

We are given the following in the question:

Population mean, μ = 4.73

Sample mean, \bar{x} = 4.35

Sample size, n = 51

Alpha, α = 0.05

Sample standard deviation, s = 3.88

First, we design the null and the alternate hypothesis

H_{0}: \mu = 4.73\\H_A: \mu \neq 4.73

We use Two-tailed z test to perform this hypothesis.

Formula:

z_{stat} = \displaystyle\frac{\bar{x} - \mu}{\frac{\sigma}{\sqrt{n}} }

Putting all the values, we have

z_{stat} = \displaystyle\frac{4.35 - 4.73}{\frac{3.88}{\sqrt{51}} } = -0.699

Now, z_{critical} \text{ at 0.05 level of significance } = \pm 1.96

We can calculate the p-value with the help of standard normal table.

P-value =  0.4846

Since the p-value is higher than the significance level, we fail to reject the null hypothesis and accept it.

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7 0
4 years ago
What does slope mean in math?What does slope mean in math?
brilliants [131]

Answer:

Step-by-step explanation:

One of the most important things to understand about lines is the definition of slope. Slope is the 'steepness' of the line, also commonly known as rise over run. We can calculate slope by dividing the change in the y-value between two points over the change in the x-value.

7 0
3 years ago
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zheka24 [161]

Answer:

Neither

Step-by-step explanation:

Since we only know the measure of the angles, we can only say the triangles are similar, not congruent.  We need at least one side measurement on each triangle to determine if the triangles are congruent.  And it would have to be the same side measurement.  Then we could use ASA (Angle side Angle) or AAS ( Angle Angle side) to determine congruence.

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62+39 +79 = 180

The three angles are the same

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5 0
3 years ago
Simplify x + 3x – 36.
Katena32 [7]

Hey there!!

Equation Given : x + 3x - 36

In order to solve this, we will need to combine the like terms.

What are like terms?

Like terms are terms which have the same variable, in the equation given, the variable mentioned is x and hence, the like terms are x and 3x.

Now, we will need to combine x and 3x.

Let's take x as 1x and 3x as 3x.

Now, we will need to add both these like terms.

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1 + 3 is 4 and hence, 1x + 3x = 4x

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4x - 36

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