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murzikaleks [220]

3 years ago

8

the happy play chargers $30 per hour for parties. Make a table of ordered pairs in which the x coordinate represents hours and t

he y coordinate represents the total cost for 2,3,4 and 5 hours

1 answer:

Juli2301 [7.4K]3 years ago

8 0

X:2,3,4,5.
Y:60,90,120,150

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An instructor gives her class the choice to do 7 questions out of the 10 on an exam.

Maksim231197 [3]

Answer:

(a) 120 choices

(b) 110 choices

Step-by-step explanation:

The number of ways in which we can select k element from a group n elements is given by:

$nCk=\frac{n!}{k!(n-k)!}$

So, the number of ways in which a student can select the 7 questions from the 10 questions is calculated as:

$10C7=\frac{10!}{7!(10-7)!}=120$

Then each student have 120 possible choices.

On the other hand, if a student must answer at least 3 of the first 5 questions, we have the following cases:

1. A student select 3 questions from the first 5 questions and 4 questions from the last 5 questions. It means that the number of choices is given by:

$(5C3)(5C4)=\frac{5!}{3!(5-3)!}*\frac{5!}{4!(5-4)!}=50$

2. A student select 4 questions from the first 5 questions and 3 questions from the last 5 questions. It means that the number of choices is given by:

$(5C4)(5C3)=\frac{5!}{4!(5-4)!}*\frac{5!}{3!(5-3)!}=50$

3. A student select 5 questions from the first 5 questions and 2 questions from the last 5 questions. It means that the number of choices is given by:

$(5C5)(5C2)=\frac{5!}{5!(5-5)!}*\frac{5!}{2!(5-2)!}=10$

So, if a student must answer at least 3 of the first 5 questions, he/she have 110 choices. It is calculated as:

50 + 50 + 10 = 110

6 0

3 years ago

Using a Simple Radom Sample of 500 rental property owners in Washington State, a 95% confidence interval estimate of the proport

Feliz [49]

Answer:

Hence the correct option is option d.

Explanation:

We can 95% confident that between 28.1% and 39.2% of all rental property owners own a property by the water.

Here correct option for interpretation of the 95% confidence interval. The remaining options are about probabilities and sample proportions.

3 0

3 years ago

A Farmer Leans a 12 ft Ladder Against A Barn. The Base of the Ladder Is 6ft From The Barn.l To The Nearest Foot, How High on the

vlada-n [284]

Answer:

10 ft to nearest foot.

Step-by-step explanation:

We use the Pythagoras theorem:

12^2 = 6^2 + h^2 where h is the height on the barn

h^2 = 12^2 - 6^2

h^2 = 144 - 36 = 102

h= √108 = 10.39

5 0

2 years ago

(a) Michael bought 19 pounds of sugar for $8. How many dollars did he pay per pound

Dmitrij [34]

Answer:

A = 2.37500

B = 8.5

Step-by-step explanation:

Explanation A - 19 divided by 8 is 2.37500

Explanation B - 34 divided by 4 is 8.5

6 0

3 years ago

Juan owes his cousin, Benito, $10.00. Benito is tired of waiting for Juan to pay him back. To try and get Juan to pay up more qu

AleksAgata [21]

Answer:

Equation: 10+x= 15 +0.5x

Time: 10 days

Amount: 20$

Step-by-step explanation:

<u>Equation for Benito:</u>

10 + x*1

<u>Equation for Tavon:</u>

15 + x*0.5

<u>Since the sums equalize at some time, we get:</u>

10+x= 15 +0.5x
x - 05x = 15- 10
0.5x = 5
x= 5/0.5
x= 10 days

After 10 days, Juan will owe both Benito and Tavon $20

7 0

3 years ago