A cyclist travels 5 miles in 15 minutes. <br> What is her average speed in mph?

Tom rolls 2 fair dice and adds the results from each. Work out the probability of getting a total that is a factor of 21.

Ber [7]

The probability of getting a total that is a factor of 21 is 0.22

<u>Explanation:</u>

Factor of 21 is = 1, 3, 7, 21

Out of all the factors of 21, we cannot get 21 when the two die are rolled as the maximum sum that can be obtained is 12

The possible combinations are:

(1,2) (1,6)

(2,1) (2,5)

(3,4)

(4,3)

(5,2)

(6,1)

Total outcome = 6 X 6

= 36

Number of outcomes that is the factor of 21 is 8

The probability of getting a total that is a factor of 21 is $\frac{8}{36}$

p(21) = 0.22

Therefore, the probability of getting a total that is a factor of 21 is 0.22

5 0

3 years ago

If Chris has 4 times as many nickels as quarters and they have a combined value of 180 cents, how many of each coin does he have

Oduvanchick [21]

82 to coins and quadrilateral

6 0

3 years ago

Read 2 more answers

The theatre has 4 chairs in a row. There are 5 rows. Using rows as your unit of measurement, what is the perimeter?

brilliants [131]

Answer:

Step-by-step explanation:

A theatre has 4 chair in a row; lets draw that out

Let's pretend that this is a chair: ♦

So we have 4 chairs in a row

♦ ♦ ♦ ♦

And there are 5 rows

♦ ♦ ♦ ♦

Let's find the perimeter;

4 + 5 + 4 + 5

=18

The perimeter is 18 rows.

5 0

2 years ago

What is the area of the figure:

Luba_88 [7]

For this case we have that the area of the triangle is given by:

$A = \frac {b * h} {2}$

Where:

b: It's the base

h: It's the height

We have to:

$cos (45) = \frac {b} {24}\\b = 24 * cos (45)\\b = \frac {\sqrt {2}} {2} * 24\\b = 12 \sqrt {2}$

The atura will be given by:

$sin (45) = \frac {h} {24}\\h = 24 * sin (45)\\h = \frac {\sqrt {2}} {2} * 24\\h = 12 \sqrt {2}$

So, the area is:

$A = \frac {12 \sqrt {2} * 12 \sqrt {2}} {2}\\A=\frac{(12\sqrt{2})^2}{2}\\A = 144$

Answer:

144

6 0

3 years ago

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Nine more than the quotient of two and a number x

padilas [110]

Your answer is 9+2/x

6 0

2 years ago

A cyclist travels 5 miles in 15 minutes. What is her average speed in mph?