Bubba Wallace has one of the fastest cars on the NASCAR circuit. If he travels 600 miles in 4 hours, what is his average speed?

Shawn's Breakfast Goodies recently sold 3 blueberry muffins and 3 other muffins. What is the experimental probability that the n

katovenus [111]

Answer:

The experimental probability can be expressed in three ways:

Fraction Form: 3/6 or 1/2

Decimal Form: 0.5

Percent Form: 50%

Step-by-step explanation:

Experimental probability is expressed as:

(Favorable outcomes) / (Total outcomes)

The favorable outcome in this situation is blubbery muffins. There were 3 blueberry muffins sold, so this is the numerator of our fraction.

To find the total outcomes we add 3 + 3, which equals 6. This will be the denominator of our fraction.

The fraction used to express experimental probability will look like this: 3/6

We can further simplify this to 1/2.

3 ÷ 3 = 1

6 ÷ 3 = 2

To find a decimal, we divide 1 ÷ 2 = 0.5

Multiply this by 100 to get a percentage, 0.5 x 100 = 50%

3 0

3 years ago

A cyclist rode for 3.5 hours and completed a distance of 60.9 miles. If she kept the same average speed for each hour, how far d

SVETLANKA909090 [29]

divide total miles by total time:

60.9 / 3.5 = 17.4 miles per hour

5 0

3 years ago

Read 2 more answers

-2 (z + 11) = 6 Please help. You have to use distributive property.

Mamont248 [21]

Answer:

-14

Step-by-step explanation:

-2(z+11)=6

-2z-22=6

-2z=28

z=-14

4 0

2 years ago

How to solve these two problems ？

puteri [66]

8) $\theta$ is -0.896 radians

9) length of arc is 41.91 cm

Solution:

8)

Given that,

$tan\ \theta = \frac{-5}{4}$

$\theta$ is in quadrant 4

To find: $\theta$

From given,

$tan\ \theta = \frac{-5}{4}\\\\\theta = tan^{-1} \frac{-5}{4}\\\\\theta = tan^{-1} (-1.25)\\\\\theta = -51.34$

Thus value of $\theta$ is -51.34 degrees

Convert degrees to radians

$-51.34\ degree = -51.34 \times \frac{ \pi }{180}\ radian\\\\-51.34\ degree = -0.896\ radian$

Thus $\theta$ is -0.896 radians

9)

From given,

radius = 15.4 cm

$\theta = \frac{13 \pi }{15}$

The length of arc when angle in radians is:

$arc\ length = r \times \theta\\\\arc\ length = 15.4 \times \frac{ 13 \pi }{15}\\\\arc\ length = 15.4 \times 2.721\\\\arc\ length = 41.91$

Thus length of arc is 41.91 cm

4 0

3 years ago

Jacob decided to ride his bicycle across the country during his 2-month summer vacation. the route he took from washington, dc t

Artist 52 [7]

Step 1: Assign variable for the unknown that we need to find.

Let ' x ' be the number of miles traveled by Jacob so far (His distance from starting point)

Step 2: Use the sentence given to set up an equation

Sentence 1: "His distance from his starting point was exactly 100 miles more than three times the distance remaining until the finishing point"

Total distance is 2800 miles, if his distance from the starting point is 'x', then remaining distance can be represented by 2800 - x.

Using the sentence we can write the below equation...

$x = 100 + 3(2800 - x)$

Distributing 3 in the right side of the equation, we get...

$x = 100 + 8400 - 3x$

Adding 3x on both sides of the equation, we get...

$x+3x = 8500$

Combine like terms in the left side of the equation, we get...

$4x=8500$

Dividing 4 on both sides of the equation, we get...

$\frac{4x}{4} =\frac{8500}{4}$

Simplifying the fraction on either side of the equation, we get...

$x=2125miles$

Conclusion:

Out of the 2800 miles, Jacob travelled a distance of 2125 miles and remaining miles that he need to cover will be 675 miles.

3 0

3 years ago