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4 years ago

Kevin can travel 22 1/2 miles in 1/4 hours . What is his average speed in miles per hour

Mathematics

1 answer:

Zanzabum4 years ago

3 0

Just do 22 1/2 divided by 1/4 which is:

90 mph

You might be interested in

Find the distance between the points with the given coordinates (-4, 9) and (1, -3).

Dmitriy789 [7]

Answer: 13

Step-by-step explanation:

The formula for finding distance between two points is given by :

D = $\sqrt{(x_{2}-x_{1})^{2}+(y_{2}-y_{1})^{2}}$

$x_{1}$ = -4

$x_{2}$ = 1

$y_{1}$ = 9

$y_{2}$ = -3

Substituting the values into the formula , we have :

D = $\sqrt{(1 -(-4))^{2} +(-3-9)^{2}}$

D = $\sqrt{(5)^{2}+(-12)^{2}}$

D = $\sqrt{25+144}$

D = $\sqrt{169}$

D = 13

Therefore : the distance between the points is 13

7 0

3 years ago

The total distance to be covered was 52 miles. If he cycled at a constant rate of 13 miles per hour, how much time did Ricky tak

QveST [7]

13 miles per hour means he will cover 13 miles in 1 hour.

therefore in 2 hours, 26 miles. 3 hours, 39 miles. 4 hours, 52 miles.

Or time = distance/speed

time = 52/13 = 4 hours

4 0

3 years ago

6 high school seniors choose from among 20 quotes for their yearbook. What is the probability that at least 2 of them choose the

shusha [124]

Using the binomial distribution, it is found that there is a 0.0328 = 3.28% probability that at least 2 of them choose the same quote.

<h3>What is the binomial distribution formula?</h3>

The formula is:

$P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}$

$C_{n,x} = \frac{n!}{x!(n-x)!}$

The parameters are:

x is the number of successes.

n is the number of trials.

p is the probability of a success on a single trial.

In this problem, we have that:

There are 6 students, hence n = 6.

There are 20 quotes, hence the probability of each being chosen is p = 1/20 = 0.05.

The probability of one quote being chosen at least two times is given by:

$P(X \geq 2) = 1 - P(X < 2)$

In which:

P(X < 2) = P(X = 0) + P(X = 1).

Then:

$P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}$

$P(X = 0) = C_{6,0}.(0.05)^{0}.(0.95)^{6} = 0.7351$

$P(X = 1) = C_{6,1}.(0.05)^{1}.(0.95)^{5} = 0.2321$

Then:

P(X < 2) = P(X = 0) + P(X = 1) = 0.7351 + 0.2321 = 0.9672.

$P(X \geq 2) = 1 - P(X < 2) = 1 - 0.9672 = 0.0328$

0.0328 = 3.28% probability that at least 2 of them choose the same quote.

More can be learned about the binomial distribution at brainly.com/question/24863377

6 0

2 years ago

Jake has $4,000 invested at 8% annual interest. He has $2,800 more to invest. At what rate

schepotkina [342]

Step-by-step explanation:

with $4,000 invested, Jake has

8% × $4,000 = $320 annually.

in order to have annual interest $628, he has to get more interest $(628-320) = $308.

the rate should be:

308/2800 × 100%

= 308 /2800 × 100%

= 11%

3 0

3 years ago

The diagram shows a plastic solid made by joining a hemisphere to a cone. The radius of the hemisphere is 5cm and the height of

lilavasa [31]

Answer:

575.8 cubic cm

Step-by-step explanation:

V(cone) = 1/3· π · r² · h

V = 1/3 · π · 25 · 12

V = 4(25)π or 100π = 314

V(half-sphere) = (4/3 · π r³)/2

V = (4/3π · 125) = 261.8

7 0

3 years ago