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4 years ago

Here is the histogram of a data distribution. What is the shape of this distribution?

Mathematics

2 answers:

Marrrta [24]4 years ago

8 0

Answer:

Step-by-step explanation:

Mandarinka [93]4 years ago

3 0

Answer:

C. Unimodal symmetric

Step-by-step explanation:

The distribution in the histogram shows has a peak and this peak is the only one which means it only has one mode, or it is unimodal. It also has the characteristic that the values start to increase and then they get to the highest point and then they start to decrease.

We can see that the histogram has symmetry, it is in the middle that we have the peak and on the sides it is symmetric.

These are the characteristics of a unimodal symmetric distribution.

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What is 6.2% times 0.62

miv72 [106K]

Answer:

0.03844

Step-by-step explanation:

0.62*6.2%

=0.62*0.062

=0.03844

3 0

3 years ago

What is the answer to the following?

enyata [817]

Answer:

Step-by-step explanation:

7 0

3 years ago

Read 2 more answers

A yo-yo is moving up and down a string so that its velocity at time t is given by v(t) = 3cos(t) for time t ≥ 0. The initial pos

jeka57 [31]

Part A - The average value of v(t) over the interval (0, π/2) is 6/π

Part B - The displacement of the yo-yo from time t = 0 to time t = π is 0 m

Part C - The total distance the yo-yo travels from time t = 0 to time t = π is 6 m.

<h3>Part A: Find the average value of v(t) on the interval (0, π/2)</h3>

The average value of a function f(t) over the interval (a,b) is

$f(t)_{avg} = \frac{1}{b - a} \int\limits^b_a {f(t)} \, dx$

So, since velocity at time t is given by v(t) = 3cos(t) for time t ≥ 0. Its average value over the interval (0, π/2) is given by

$v(t)_{avg} = \frac{1}{\frac{\pi }{2} - 0} \int\limits^{\frac{\pi }{2} }_0 {v(t)} \, dt$

Since v(t) = 3cost, we have

$v(t)_{avg} = \frac{1}{\frac{\pi }{2} - 0} \int\limits^{\frac{\pi }{2} }_0 {3cos(t)} \, dt\\= \frac{3}{\frac{\pi }{2}} \int\limits^{\frac{\pi }{2} }_0 {cos(t)} \, dt\\= \frac{6}{{\pi}} [{sin(t)}]^{\frac{\pi }{2} }_{0} \\= \frac{6}{{\pi}} [{sin(\frac{\pi }{2})} - sin0]\\ = \frac{6}{{\pi}} [1 - 0]\\ = \frac{6}{{\pi}} [1]\\ = \frac{6}{{\pi}}$

So, the average value of v(t) over the interval (0, π/2) is 6/π

<h3>Part B: What is the displacement of the yo-yo from time t = 0 to time t = π?</h3>

To find the displacement of the yo-yo, we need to find its position.

So, its position x = ∫v(t)dt

= ∫3cos(t)dt

= 3∫cos(t)dt

= 3sint + C

Given that at t = 0, x = 3. so

x = 3sint + C

3 = 3sin0 + C

3 = 0 + C

C = 3

So, x(t) = 3sint + 3

So, its displacement from time t = 0 to time t = π is

Δx = x(π) - x(0)

= 3sinπ + 3 - (3sin0 + 3)

= 3 × 0 + 3 - 0 - 3

= 0 + 3 - 3

= 0 + 0

= 0 m

So, the displacement of the yo-yo from time t = 0 to time t = π is 0 m

<h3>Part C: Find the total distance the yo-yo travels from time t = 0 to time t = π. (10 points)</h3>

The total distance the yo-yo travels from time t = 0 to time t = π is given by

$x(t) = \int\limits^{\pi}_0 {v(t)} \, dt\\= \int\limits^{\pi }_0 {3cos(t)} \, dt\\= 3 \int\limits^{\pi }_0 {cos(t)} \, dt\\ = 3 \int\limits^{\frac{\pi }{2} }_0 {cos(t)} \, dt + 3\int\limits^{\pi }_{\frac{\pi }{2}} {cos(t)} \, dt\\= 3 \times 2\int\limits^{\frac{\pi }{2} }_0 {cos(t)} \, dt\\= 6 [{sin(t)}]^{\frac{\pi }{2} }_{0} \\= 6[{sin\frac{\pi }{2} - sin0]\\\\= 6[1 - 0]\\= 6(1)\\= 6$

So, the total distance the yo-yo travels from time t = 0 to time t = π is 6 m.

Learn more about average value of a function here:

brainly.com/question/15870615

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4 0

1 year ago

in a parade, each tricycle and bicycle have one rider.There are 64 wheels and 28 riders.How many tricycles are there? can you sh

Ann [662]

Answer:

8 tricycles

Step-by-step explanation:

Make a system of equations

Let t represent tricycles, and b represent bicycles

We know that tricycles have 3 wheels, bicycles have 2, and there are a total of 64 wheels

We also know each has one rider, and there are a total of 28 riders

3t+2b=64

t+b=28

Subtract t from both sides in the second equation. This will allow us to use substitution

b= -t+28

Substitute -t+28 in for b in the first equation

3t+2b=64

3t+2(-t+28)=64

Distribute the 2

3t + 2*-t+ 2* 28 =64

3t-2t+56=64

Combine like terms

t+56=64

Subtract 56 from both sides

t=8

There were 8 tricycles

4 0

3 years ago

Read 2 more answers

250000 divided by 100

nlexa [21]

Answer:

250,000÷100 is equal to 2,500

7 0

3 years ago

Read 2 more answers