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balu736 [363]
2 years ago
9

Elena works at least 4 hours but not more than 8 hours. the amount of money elena earns for working t hours is represented by a

function. p(t)=9.5t what is the practical domain of the function? all real numbers from 4 to 8, inclusive. all integers from 4 to 8, inclusive. all real numbers. all multiples of 9.5 between 38 and 76, inclusive
Mathematics
2 answers:
kogti [31]2 years ago
7 0

Let

t-------> the number of hours

P(t)----> the amount of money Elena earns

we know that

P(t)=9.5t

t\geq 4\ hours

t \leq 8\ hours

so

4\ hours \leq t \leq 8\ hours

The practical domain of the function is the interval----> [4,8]

that means

all real numbers from  4  to  8 , inclusive

therefore

<u>the answer is the option</u>

all real numbers from  4  to  8 , inclusive


tensa zangetsu [6.8K]2 years ago
3 0

Answer:

all real numbers from 4 to 8, inclusive


Step-by-step explanation:


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There are 200 students in eleventh grade high school class. There are 40 students in the soccer team and 50 students in the bask
bekas [8.4K]

Answer:

P(A) = 0.2

P(B) = 0.25

P(A&B) = 0.05

P(A|B) = 0.2

P(A|B) = P(A) = 0.2

Step-by-step explanation:

P(A) is the probability that the selected student plays soccer.

Then:

P(A)=\dfrac{40}{200}=0.2

P(B) is the probability that the selected student plays basketball.

Then:

P(B)=\dfrac{50}{200}=0.25

P(A and B) is the probability that the selected student plays soccer and basketball:

P(A\&B)=\dfrac{10}{200}=0.05

P(A|B) is the probability that the student plays soccer given that he plays basketball. In this case, as it is given that he plays basketball only 10 out of 50 plays soccer:

P(A|B)=\dfrac{P(A\&B)}{P(B)}=\dfrac{10}{50}=0.2

P(A | B) is equal to P(A), because the proportion of students that play soccer is equal between the total group of students and within the group that plays basketball. We could assume that the probability of a student playing soccer is independent of the event that he plays basketball.

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2 years ago
Which behavior can help increase savings?
andriy [413]

Avoiding conviniece store purchases

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2 years ago
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What is 63.4 divided by 20
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317 is the answer you are looking for.
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When a breeding group of animals is introduced into a restricted area such as a wildlife reserve, the population can be expected
jasenka [17]

Answer:

A. Initially, there were 12 deer.

B. <em>N(10)</em> corresponds to the amount of deer after 10 years since the herd was introducted on the reserve.

C. After 15 years, there will be 410 deer.

D. The deer population incresed by 30 specimens.

Step-by-step explanation:

N=\frac{12.36}{0.03+0.55^t}

The amount of deer that were initally in the reserve corresponds to the value of N when t=0

N=\frac{12.36}{0.33+0.55^0}

N=\frac{12.36}{0.03+1} =\frac{12.36}{1.03} = 12

A. Initially, there were 12 deer.

B. N(10)=\frac{12.36}{0.03 + 0.55^t} =\frac{12.36}{0.03 + 0.0025}=\frac{12.36}{y}=380

B. <em>N(10)</em> corresponds to the amount of deer after 10 years since the herd was introducted on the reserve.

C. N(15)=\frac{12.36}{0.03+0.55^15}=\frac{12.36}{0.03 + 0.00013}=\frac{12.36}{0.03013}= 410

C. After 15 years, there will be 410 deer.

D. The variation on the amount of deer from the 10th year to the 15th year is given by the next expression:

ΔN=N(15)-N(10)

ΔN=410 deer - 380 deer

ΔN= 30 deer.

D. The deer population incresed by 30 specimens.

8 0
1 year ago
A store is selling five cans of tomato sauce for $5.25. What is the unit price? unit price = total price ÷ number of units per p
aleksklad [387]

Answer: Option A

P = \$\ 1.05

Step-by-step explanation:

If we have 5 cans of ketchup they cost $ 5.25. Then the unit price of cans is what each can costs individually.

The unit price should then be less than $ 5.25, and that is the price for 5 cans and we want to know the price for just one can of ketchup.

Then to calculate the price of each can divide the price of the 5 cans by 5.

P = \frac{5.25}{5}

P = \$\ 1.05

8 0
1 year ago
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