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tangare [24]
3 years ago
13

Grace has a 15 inch diameter bicycle tire. How many revolutions will it make traveling 500 feet?

Mathematics
1 answer:
Brums [2.3K]3 years ago
5 0

Answer:

Revolution = 127.24 revolutions

Step-by-step explanation:

<em><u>Circumference of the tire = πD</u></em>

Where D = 15 inch

So,

C = 15π = 47.1 inch

<u><em>In feets:</em></u>

47.1 inch = 3.93 feet.

So, <u>one revolution = 3.93 feet</u>

<u><em>Travelling 500 feet will make the following revolutions:</em></u>

Revolution = 500 feet/3.93 feet

Revolution = 127.24 revolutions

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john is a proud owner of a herd of cows 12 of them are brown and 32 are black what is the ratio of brown cows to the total numbe
Burka [1]

Answer:

12:44, or if simplified 3:11

Step-by-step explanation:

In mathematics, a ratio indicates how many times one number contains another. For example, if there are eight oranges and six lemons in a bowl of fruit, then the ratio of oranges to lemons is eight to six (that is, 8∶6, which is equivalent to the ratio 4∶3). Similarly, the ratio of lemons to oranges is 6∶8 (or 3∶4) and the ratio of oranges to the total amount of fruit is 8∶14 (or 4∶7).

6 0
3 years ago
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Find the sale price of each item. Round to two decimal places when necessary.
Bond [772]

Answer:

Sale Price: 276.25

Step-by-step explanation:

The original price of the item is $325 and the markdown is 15% off.

So, all you have to do is find out what 15% of $325, which it's 48.75, and subtract that from $325 to get your final sale price, which is $276.25.

7 0
3 years ago
Suppose that 2 ≤ f '(x) ≤ 4 for all values of x. What are the minimum and maximum possible values of
Vesna [10]

Answer:

Step-by-step explanation:

By the Mean Value Theorem, there is at least one number, c, in the interval (1,6) such that

f'(c) = [f(6) - f(1)]/ (6 - 1)

So, f(6) - f(1) = 5f'(c).

Since 2 ≤ f'(c) ≤ 4, 10 ≤ 5f'(c) ≤ 20

So, f(6) - f(1) is between 10 and 20.  

5 0
2 years ago
Test the claim that the proportion of people who own cats is larger than 40% at the 0.025 significance level. The null and alter
Alecsey [184]

Answer:

H 0 : p ≤ 0.4 H a : p > 0.4

And based on the alternative hypothesis we can conclude that we have a right tailed test

Step-by-step explanation:

Data given

n=300 represent the random sample size

\hat p=0.45 estimated proportion of people with cats

p_o=0.40 is the value that we want to test

\alpha=0.025 represent the significance level

z would represent the statistic

p_v represent the p value

Null and alternative hypothesis

We want to test if the true proportion of people with cats is higher than 0.4, so then the best alternative is:  

Null hypothesis:p\leq 0.4  

Alternative hypothesis:p > 0.4  

H 0 : p ≤ 0.4 H a : p > 0.4

And based on the alternative hypothesis we can conclude that we have a right tailed test

The statistic is given by:  

z=\frac{\hat p -p_o}{\sqrt{\frac{p_o (1-p_o)}{n}}} (1)  

Replacing we got:

z=\frac{0.45 -0.4}{\sqrt{\frac{0.4(1-0.4)}{300}}}=1.768  

5 0
3 years ago
What is the slope of the line that passes through the points (9, 5) and (21, 1)?
AleksandrR [38]

Answer:

\displaystyle m = \frac{-1}{3}

General Formulas and Concepts:

<u>Pre-Algebra</u>

Order of Operations: BPEMDAS

  1. Brackets
  2. Parenthesis
  3. Exponents
  4. Multiplication
  5. Division
  6. Addition
  7. Subtraction
  • Left to Right<u> </u>

<u>Algebra I</u>

  • Coordinates (x, y)
  • Slope Formula: \displaystyle m = \frac{y_2-y_1}{x_2-x_1}

Step-by-step explanation:

<u>Step 1: Define</u>

Point (9, 5)

Point (21, 1)

<u>Step 2: Solve for slope </u><em><u>m</u></em>

  1. Substitute in points [Slope Formula]:                                                              \displaystyle m = \frac{1-5}{21-9}
  2. [Fraction] Subtract:                                                                                           \displaystyle m = \frac{-4}{12}
  3. [Fraction] Simplify:                                                                                            \displaystyle m = \frac{-1}{3}
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3 years ago
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