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Dvinal [7]
3 years ago
9

Daniel is a singer, and he promises his agent that he will give him a 25% commission based on what he makes from a show. After p

aying the agent, Daniel takes home $120. Use the diagram to answer the following questions.
Daniel’s agent made .


Daniel and the agent made a total of from the show.
Mathematics
2 answers:
BARSIC [14]3 years ago
7 0

Answer:

40

160

Step-by-step explanation:

4vir4ik [10]3 years ago
4 0

Answer:

Daniels agent made $40.

Daniel and the agent made a total of $160 from the show.

Step-by-step explanation:

Given:

Let the total amount made from the show  = x

Daniel's agent made = 25% of x

Daniel made = $120

From the question, we know that the total amount is the sume of what daniel and the agent took.

So,

x = 120 + 25% of x

x-0.25x = 120

0.75x = 120

x = 160.

Hence the total amount made from the show is $120.

Daniel's agent made = 25 % of 160

= 0.25*160

= 40

Hence, Daniel's agent made $40 from the show.

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There are 43 pine trees currently in the park. Park workers will plant more pine trees
Luden [163]

Answer:

20 pine trees

Step-by-step explanation:

No of pine trees today = 63

No of pine trees there = 43

So no of pine trees planted today= 63-43= 20

8 0
2 years ago
Determine if a triangle with the given dimensions is a right triangle. If it is, which angle is the right angle?
Arte-miy333 [17]
To determine if the triangle is a right triangle, we use the Pythagorean theorem to test or see if the data agrees. We do as follows:

c² = a² + b²
10² = (5√3)² + 5²
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100 = 100

Therefore, the triangle with the given measurements is a right triangle. The angle that would have a right angle is angle BAC. Hope this answers the question. Have a nice day. Feel free to ask more questions.
6 0
3 years ago
Greg has four different colored cards in a box. Yellow, red, blue, and green. He randomly selects one card, records the color, a
Veronika [31]

Answer:

He should expect to select 75 yellow cards.

Step-by-step explanation:

Since there is replacement, for each trial, we have:

1 yellow card

1 red card

1 blue card

1 green card.

If Greg does this 300 times, how many yellow cards should he expect to select?

Each trial, there are 4 cards, one of which is yellow. So 1/4 = 0.25 probability of selecting a yellow card.

Over 300 trials

0.25*300 = 75

He should expect to select 75 yellow cards.

6 0
3 years ago
HELP ME PLEASE!!! ASAP THANK YOU SO MUCH
oksian1 [2.3K]

Answer:

Step-by-step explanation:

8 0
1 year ago
Consider the continuous random variable x, which has a uniform distribution over the interval from 110 to 150. The probability t
Virty [35]

Answer:

The probability that x will take on a value between 120 and 125 is 0.14145

Step-by-step explanation:

For uniform distribution between a & b

Mean, xbar = (a + b)/2

Standard deviation, σ = √((b-a)²/12)

For 110 and 150,

Mean, xbar = (150 + 110)/2 = 130

Standard deviation, σ = √((150-110)²/12 = 11.55

To find the probability that x will take on a value between 120 and 125

We need to standardize 120 & 125

z = (x - xbar)/σ = (120 - 130)/11.55 = - 0.87

z = (x - xbar)/σ = (125 - 130)/11.55 = - 0.43

P(120 < x < 125) = P(-0.87 < x < -0.43)

We'll use data from the normal probability table for these probabilities

P(120 < x < 125) = P(-0.87 < x < -0.43) = P(z ≤ -0.43) - P(z ≤ -0.86) = 0.33360 - 0.19215 = 0.14145

Hope this Helps!!!

3 0
3 years ago
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