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ivann1987 [24]
3 years ago
8

Mr. Sarpy went to shoot some hoops on the basketball court. For every shot that he made within the three-point line he earned 2

points and every shot he made behind the three-point line he earned 3 points. Mr. Sarpy shot a total of 50 shots and earned a total of 115 points. Write a system of equations that best models x, the number of 2 point shots, and y, the number of 3 point shots.
Mathematics
1 answer:
Lostsunrise [7]3 years ago
6 0

Answer:

x + y = 50 (1) and 2x + 3y = 115 (2); x = 35, y = 15

Step-by-step explanation:

Since x represents the number of 2 point shots and y represents the number of 3 point shots. If the total number of shots is 50, then x + y = 50 (1)

Also, the total 2 point shots is number of 2 point shots × points per shot = 2x and the total 3 point shots is number of 3 point shots × points per shot =  3y. Since the total number of points is 115, then

2x + 3y = 115 (2)

So, the system of equations are

x + y = 50 (1) and 2x + 3y = 115 (2)

We can solve for x and y by substituting x = 50 - y into (2)

So, 2(50 - y) + 3y = 115

100 - 2y + 3y = 115

100 + y = 115

y = 115 - 100

y = 15

So, x = 50 - y

= 50 - 15

= 35

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ziro4ka [17]

The probability of at least 6 failures in 7 trials of a binomial experiment in which the probability of success in any one trial is 9% will be <u>0.000343311 %</u>

<h3>What is the probability?</h3>

Probability is synonymous with possibility. It is concerned with the occurrence of a random event.

Probability can only have a value between 0 and 1. Its simple notion is that something is very likely to occur. It is the proportion of favorable events to the total number of events.

No of failure,n = 7

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A binomial probability is represented as;

\rm P(x) = nC_x p^z(1-p)^{n-r}

Substitute the given data;

P(x \geq 6) = 7C_6 \times 9^6 \times 91-9)^{7-6} +7C_7 (9)^7+(1-9)^{(7-7)}

\rm P(x \geq 6)  = 0.000000343311 \\\\ P(x \geq6)=0.000343311 \%

Hence,the probability of at least 6 failures in 7 trials of a binomial experiment in which the probability of success in any one trial is 9% will be <u>0.000343311 %</u>

To learn more about probability, refer to the link: brainly.com/question/795909.

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4 0
2 years ago
The circumference of a circle is 22 meters. What is the approximate
Aleks [24]
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3 years ago
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Answer:

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Step-by-step explanation:

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Part B: Because it is already being raised to the power of 0, if x=0 it will remain equal to one (as explained above). Anything raised to the 1 power is itself, so 7^0= 1 and 1^1 =1

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nikitadnepr [17]

Answer:

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Step-by-step explanation:

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Lets do 12 first:

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And Voilla

X = 8

Hope this helped! Ask me if you have any further questions!

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