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kumpel [21]
3 years ago
15

The wheels on Madison's bike are 64 inches in circumference. How many times do the wheels rotate if Madison rides 300 yards?

Mathematics
1 answer:
yuradex [85]3 years ago
7 0

Answer:

Hello the answer is

diameter = 49cm;

radius = diameter/2 = 24.5cm;

circumference = 2πr ≈ 153.94 = 154cm

1 revolution = 154cm

50 revolution = 7700cm = 77m

I hope I am correct. also please mark brainliest

Step-by-step explanation:

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loris [4]
Hi,
i worked out the problem and I attached the picture  

6 0
3 years ago
The U.S. Department of Housing and Urban Development publishes data on the fair market monthly rent for existing one-bedroom hou
Aleksandr [31]

Answer:

n=(\frac{1.960(80)}{25})^2 =246.73 \approx 247

So the answer for this case would be n=247 rounded up to the nearest integer

Step-by-step explanation:

We know that the standard deviation is :

\sigma = 80 represent the deviation

The margin of error is given by this formula:

ME=z_{\alpha/2}\frac{\sigma}{\sqrt{n}}    (a)

And on this case we have that ME =25 and we are interested in order to find the value of n, if we solve n from equation (a) we got:

n=(\frac{z_{\alpha/2} \sigma}{ME})^2   (b)

The critical value for 95% of confidence interval now can be founded using the normal distribution and the critical value would be z_{\alpha/2}=1.960, replacing into formula (b) we got:

n=(\frac{1.960(80)}{25})^2 =246.73 \approx 247

So the answer for this case would be n=247 rounded up to the nearest integer

8 0
3 years ago
Noah and his grandfather were returning home from a walk. When they were 800 m away from the house, the grandfather said that he
sammy [17]

They met 480 meters from the house.

<h3><u>Calculus</u></h3>

Given that Noah and his grandfather were returning home from a walk, and when they were 800 m away from the house, the grandfather said that he was thirsty, so Noah immediately ran home, got a bottle of water, and ran back to meet his grandfather who never stopped walking at a steady pace, to determine how many meters from the house did they meet if noah ran four times as fast as his grandfather walked, the following calculation must be made:

  • 200 x 4 = 800 - 200 = 600
  • 300 x 4 = 1200 - 800 - (800 - 300) = 100
  • 325 x 4 = 1300 - 800 - (800 - 325) = -25
  • 320 x 4 = 1280 - 800 - (800 - 320) = 480 - 480 = 0

Therefore, they met 480 meters from the house.

Learn more about calculus in brainly.com/question/26453068

3 0
2 years ago
5x + 2y + 19 = 0 3x + 4y + 17 = 0​
Schach [20]

Answer:

x = -3; y = 2

Step-by-step explanation:

5x + 2y + 19 = 0

3x + 4y + 17 = 0​

-10x - 4y - 38 = 0

3x + 4y + 17 = 0

-7x - 21 = 0

x = -3

5(-3) + 2y = -19

2y = -4

y = -2

Answer: x = -3; y = 2

8 0
3 years ago
Assume the random variable X is normally distributed with mean mu equals 50 and standard deviation sigma equals 7. Compute the p
defon

Answer:

P(X>34) = 0.9889

Step-by-step explanation:

We are given the following information in the question:

Mean, μ = 50

Standard Deviation, σ = 7

We are given that the distribution of random variable X is a bell shaped distribution that is a normal distribution.

Formula:

z_{score} = \displaystyle\frac{x-\mu}{\sigma}

P(X greater than 34)

P( X > 34) = P( z > \displaystyle\frac{34 - 50}{7}) = P(z > -2.2857)

= 1 - P(z \leq -2.2857)

Calculation the value from standard normal z table, we have,  

P(X>34) = 1 - 0.0111= 0.9889= 98.89\%

The attached image shows the normal curve.

4 0
3 years ago
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