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3 years ago

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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If the random variable x has a uniform distribution between 40 and 50, then p(35 ≤ x ≤ 45) is:

Dvinal [7]

$\mathbb P(35\le X\le45)=\mathbb P(X\le45)-\mathbb P(X\le35)=F_X(45)-F_X(35)$

where $F_X(x)$ is the cumulative distribution function of $X$ . We have probability density given by

$f_X(x)=\begin{cases}\frac1{10}&\text{for }40\le x\le50\\\\0&\text{otherwise}\end{cases}$

which yields the CDF

$F_X(x)=\begin{cases}0&\text{for }x$

and so

$\mathbb P(35\le X\le45)=\dfrac{45-40}{10}-0=\dfrac12$

7 0

4 years ago

One number exceeds another number by 11. The sum of the numbers 77. What are the numbers?

monitta

One number (a) exceeds another number (b) by 11 so
a = b+11
a + b = 77

Substitute the equation for a into the second equation
(b+11) + b = 77
multiply each side by 1 to remove parentheses
b + 11 + b = 77
Combine like terms
2b + 11 = 77
Isolate the variable
2b = 77-11
Simplify
2b = 66
Divide by 2
b = 33
Now substitute b back into the initial equation for a
a = (33) + 11
a = 44

Check your work by substituting both values into the second equation
44 + 33 = 77
This is true, so 44 and 33 are solutions

7 0

2 years ago

Triangle A B C is shown with its exterior angles. Line C B extends through point D. Line B C extends to form exterior angle that

Zarrin [17]

Answer:

m∠ABC = 45°

Step-by-step explanation:

See the attached figure.

As shown in the figure

Line C B extends through point D to form the exterior angle that is 135 degrees.

So, m∠ABD = 135°

But m∠ABC + m∠ABD = 180°

∴m∠ABC = 180° - m∠ABD = 180° - 135°= 45°

Also, we should know that

m∠ABD = m∠BAC + m∠ACB

So, m∠ACB = 135° - 75° = 60°

========================================

<u>Very important note:</u>

If we replaced the location of B and C

SO, m∠ABC = 60° and m∠ACB = 45°

=========================================

9 0

3 years ago

Read 2 more answers

ASAP HELP WILL GIVE BRAINLY

timurjin [86]

Answer:

$7x - 4y = -4\\(7x - 7x) - 4y = -7x - 4\\-4y = -7x - 4\\\frac{-4}{-4}y = \frac{-7x - 4}{-4}\\y = \frac{7}{4}x + 1\\m = \frac{7}{4}\\b = 1$

m = slope

b = y-intercept

Step-by-step explanation:

3 0

3 years ago

Find the equation of a line that passes through points (1,8) and (4,4).

daser333 [38]

Step-by-step explanation: Using the equation, y = mx + b, the slope-intercept form, plug in the values you have and solve for b. (m is the slope.) You have y = -8 and x = 4 and m = 1/2.

3 0

3 years ago