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3 years ago

15

Jeff hikes 1/2 mile every 15 minutes, or 1/4 hour. Lisa hikes 1/3 mile every 10 minutes, or 1/6 hour. How far do they each hike

in 1 hour?

1 answer:

inessss [21]3 years ago

6 0

Answer:

they each hike 2 miles

Step-by-step explanation:

Jeff: 15=1/2

*4 *4

60 min=2 miles

Lisa: 10=1/3

*6 *6

60 = 2

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A survey is taken among customers of a fast-food restaurant to determine preference for hamburger or chicken. Of 200 respondents

kicyunya [14]

Answer:

Hamburger Chicken

Adults 65 60 125

children 55 20 75

120 80 200

a)What is the probability that a randomly selected individual is an adult?

Total no. of adults = 125

Total no. of people 200

The probability that a randomly selected individual is an adult = $\frac{125}{200}=0.625$

b) What is the probability that a randomly selected individual is a child and prefers chicken?

No. of child prefers chicken = 20

The probability that a randomly selected individual is a child and prefers chicken= $\frac{20}{200}=0.1$

c)Given the person is a child, what is the probability that this child prefers a hamburger?

No. of children prefer hamburger = 55

No. of child = 75

The probability that this child prefers a hamburger= $\frac{35}{75}=0.46$

d) Assume we know that a person has ordered chicken, what is the probability that this individual is an adult?

No. of adults prefer chicken = 60

No. of total people like chicken = 80

A person has ordered chicken, the probability that this individual is an adult= $\frac{60}{80}=0.75$

3 0

3 years ago

Evaluate the expression. StartFraction 9 factorial Over 3 factorial EndFraction 3 6 60,480 362,874

REY [17]

Answer:

60,480 is the correct answer.

Step-by-step explanation:

First of all, let us have a look at the <em>formula of factorial of a number 'n'</em>:

$n! = n \times (n-1) \times (n-2) \times ...... \times 1$

i.e. multiply n with (n-1) then by (n-2) upto 1.

<em>Keep on subtracting 1 from the number and keep on multiplying until we reach to 1.</em>

<em></em>

So, $9!$ can be written as: $9 \times 8 \times 7 \times ...... \times 1$

Similarly $3!$ can be written as: $3 \times 2 \times 1$

Re-writing $9 !$ :

$9 \times 8 \times 7 \times ...... 3 \times 2 \times 1\\\Rightarrow 9 \times 8 \times 7 \times ...... 3 !$

Now, the expression to be evaluated:

$\dfrac{9!}{3!} = \dfrac{9 \times 8 \times 7 \times ..... \times 3!}{3!}\\\Rightarrow 9 \times 8 \times 7 \times 6 \times 5 \times 4\\\Rightarrow 60480$

5 0

3 years ago

Read 2 more answers

Find the value of x. Enter your answer as a fraction.<br> 50 points asap!

Travka [436]

Answer:

3/2

Step-by-step explanation:

that is it. if u do ur measure correctly

3 0

3 years ago

please help :) Which number is greater than 3.14159 × 10 to the 4 power? A. 5,678,889 B. 9.897752 x 10 to the 6 power C. 71,224,

BARSIC [14]

Answer: C. 71,224,900

Based on the power, move the decimal point that many spaces to the right. (e.g., If it's 7.9 × 10^3, then move the decimal three spaces to the right, and you'd get 7900.)

3.14159 × 10^7 = 31415900

9.897752 × 10^6 = 9897752

2.468 × 10^7 = 24680000

Out of all the numbers mentioned in the question, 71,224,900 is the only one that's greater than 3.14159 × 10^7 = 31415900.

3 0

3 years ago

Mike and his friends bought cheese wafers for $2 per packet and chocolate wafers for $1 per packet at a carnival. They spent a t

trapecia [35]

A. 2x+y=25; x+y=20
x represents cheese wafers and y represents chocolate wafers.

B. I will choose elimination since there is y and y. I can multiply one equation by -1 to get y and -y, which cancels out.
2x+y=25
-x-y=-20

Add equations
x=5

Plug x in
5+y=20
y=15

Final answer: 5 cheese wafers, 15 chocolate wafers

4 0

3 years ago