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2 years ago

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The price that a company charged for a basketball hoop is given by the equation 50-x^2 where x is the number of hoops that are p

roduced, in millions. It costs the company $30 to make each basketball hoop. The company recently reduced its production to 1 million hoops but maintained its profit of 15 million dollars. Approximately how many basketball hoops did the company previously produce to make the same profit?

2 answers:

Dmitriy789 [7]2 years ago

5 0

Answer:

A. 1.3 million hoops

on edg

Nataliya [291]2 years ago

4 0

Answer: 2.125 million (Approx)

Step-by-step explanation:

Let the company initially produced x million hoops.

Therefore, after reducing 1 million hoops,

New number of hoops = (x-1)

Since, Profit = Sale price - Cost price

The cost price of 1 hoop = 30 dollars

Thus, the cost price of (x-1) million hoop = 30(x-1) dollars

According to the question,

The price that a company charged for a basketball hoop is given by the equation $50-(x-1)^2$

Thus the sales price of x million hoops = $50 - (x-1)^2$

Hence, the company's profit = $(50 - (x-1)^2) - 30(x-1)$

Again According to the question,

The company's profit = 15 million,

⇒ $(50 - (x-1)^2) - 30(x-1)=15$

⇒ $50-x^2-1+2x-30x+30=15$

⇒ $-x^2-28x+79-15=0$

⇒ $-x^2-28x+64=0$

⇒ $x^2+28x-64=0$

By solving this equations we get,

x = -2(7+√65) and x = 2(√65-7)

But, the number of hoops can not be negative,

Thus, the initial number of hoops = 2(√65-7) million =2.1245154966 million ≈2.125 million

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Alex17521 [72]

Answer:

a) $X=3300$

b) $Y=7770$

Step-by-step explanation:

From the question we are told that:

Number Teachers $T=6$

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b) Generally the equation for at least one teacher and at least one student on the committee is mathematically given by

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Jada created the two-way table below to describe the performance of her basketball team this season.

kramer

To answer the question, all the statements must be analyzed with the data presented in the table.
From the table we get that the team played 16 games at home and 11 games away from home.
In total, they played 27 games.
Of the 16 games at home, the team won 6. Then, the proportion of games won at home is:
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0.375 is not twice 0.272.
Then the first statement is incorrect.

The ratio of games won at home is 6/16 = 3/8. Therefore, the second statement is incorrect. The team does not win 3/5 of the games at home.
The total number of games won is 9 and the total number of games is 27.
So, the third statement is incorrect. The team does not win half of the games.
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Finally, the sixth statement is correct, because the team lost 10 games at home and 8 away from home. However, the PERCENTAGE of games lost away from home is greater than the PERCENTAGE of games lost at home. Therefore, it is more likely that the team loses when playing away from home.

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expeople1 [14]

Answer:

Critical value: T = 1.337

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Step-by-step explanation:

We have the standard deviation for the sample. So we use the t-distribution to solve this question.

The first step to solve this problem is finding how many degrees of freedom, we have. This is the sample size subtracted by 1. So

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