Need the answer
What are the values of​ x, y, and​ z?

Answer:

1. Flip a fair coin four times, with heads representing teenagers who prefer watching a movie at a theater and tails representing those who do not.

2. Pick a card from a deck of standard playing cards four times, with red suits representing those who prefer watching a movie at a theater and black suits representing those who do not.

4. Roll a six-sided die four times, with even numbers representing those who prefer watching a movie at a theater and odd numbers representing those who do not.

Step-by-step explanation:

Basically you need to do something 4 times, with each time having a 50/50 chance.

For 1, it flips the coin 4 times and a coin toss is 50/50

For 2, it pics 4 cards, and the deck of cards has a 50-50 chance of either red or black

For 3, it spins it only 3 times, so is wrong

For 4, it rolls the die 4 times, and even and odd is 50-50

For 5, 0-5 consist of 6 number, while 6-9 is only 4 numbers thus is not 50-50 so is wrong

Answer:

1,2,4

Step-by-step explanation:

if ur in courseware then i just did the math test as well

Answer:

290n + 120 ≤ 1400

4 days

Step-by-step explanation:

Given that:

Vacation budget = $1400

Cost on hotel = $110 per night

Cost on food = $80 per day

Cost on activities = $100 per day

Cost on gas = $120 for entire trip

Number of nights they can afford to stay

Let the Number of nights they can afford = n

((110 + 80 + 100) * number of nights) + 120 ≤ vacation budget

290n + 120 ≤ 1400

290n ≤ 1400 - 120

290n ≤ 1280

n ≤ 1280 / 290

n ≤ 4.4137

Hence, longest vacation they can take is 4 days

Final answer:

The family can afford up to 4 nights for their vacation, as per the inequality 290n + 120 ≤ 1400, where 'n' stands for the number of nights.

Explanation:

Let's first define the total expenses per day as the sum of the hotel costs ($110), food costs ($80), and the daily amount for activities ($100). This adds up to $290 per day. So for 'n' nights, the family will be spending $290n. In addition, there's a $120 onetime expense for gasoline. Hence, the inequality representing their spending will be: 290n + 120 ≤ 1400.

To find the longest vacation this family can afford, we simply need to solve this inequality. Pay attention as we do this: 290n ≤ 1280 (subtracting 120 from both sides), and then n ≤ 4.41 (dividing both sides by 290).

Since the number of nights 'n' should be a whole number, the family can afford up to 4 nights on their vacation.

Learn more about Vacation budgeting here:

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Final answer:

The expression 6(31/5)(21/3) can be simplified by doing the division first, then multiplication. The final answer is 260.4.

Explanation:

To simplify the expression 6(31/5)(21/3), we must first perform the operations inside the parentheses, the division operations, and then multiply the results together with the other number, 6.

First, perform the division operations in each set of parentheses: (31/5) equals 6.2 and (21/3) equals 7.

Then multiply these two results together: 6.2 times 7 equals 43.4.

Lastly, multiply this result by 6: 43.4 times 6 equals 260.4.

So the expression 6(31/5)(21/3) simplifies to 260.4.

Learn more about Simplify here:

brainly.com/question/29003427

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Answer:

C. Within a few years the population increases dramatically

True. As we can see on the function if we increase the time by 10 units for example the final amount is increasing by a factor of and that represent a dramatically increase.

Step-by-step explanation:

When we have a exponential growth model the general formula is given by:

Since says "growth" the rate of increase r>0, represent the initial amount and A the amount after the time t.

Assuming the possible options for the answer. We analyze one by one

A. Each individual plant grows much larger than usual

False, for this model we assume that all the individuals in the population modeled have similar characteristics, because if the individuals are different we can't use a deterministic model like this one.

B. The population immediately decreases

False. We are assuming that the model is for a growth rate so then is not possible to have a decrease.

C. Within a few years the population increases dramatically

True. As we can see on the function if we increase the time by 10 units for example the final amount is increasing by a factor of and that represent a dramatically increase.

D. The specie's reproductive potential declines

False, we are considering a growth model in which it makes no sense to consider that the potential, population or quantity measured decrease.