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dybincka [34]
3 years ago
10

Due by tomorrow and i have no idea how to do it

Mathematics
2 answers:
ikadub [295]3 years ago
8 0

okay so your x and y values go where the bold black lines are on the graph. the bottom left hand corner is left clear as it is for the zero value. you plot the numbers given in the table so that each number has it's own line on the graph

then you plot the numbers given in the table by going along the corridor and up the stairs. you essentially find the spot where both x and y values are satisfied. If you don't understand this I can help you further. you then join these plotted points with a line

for the second question, you find the gradient of the line which is the vertical length of the line divided by the horizontal length of the line.

for 3 you find 15 minutes on the x-axis and see where it meets the y-axis on the line that you have plotted

you do the opposite for 4. you find €1.52 on the y-axis and see where it meets on the x-axis on the line that you have plotted

if you have any further questions don't be afraid to ask! I'm very bad at explaining :)

Olenka [21]3 years ago
5 0

Answer:

(1) See figure attached

(2) y = 0.12*x + 0.2

(3) $2

(4) 11 minutes

Step-by-step explanation:

(1)

To make the graph, plot point by point and connect them with a line.

(2)

To get a line's equation you need its slope (m) and its y-intercept (b), because equation form is y = m*x + b.  

Knowing 2 points of the line, (x1, y1) and (x2, y2), slope is computed as

m = (y2 -y1)/(x2 - x1)

Replacing with (1, 0.32) (2, 0.44) it gives

m = (0.44 - 0.32)/(2 - 1)

m = 0.12

Know you have the slope, you can get b substituting 1 point in the general equation. Using point (1, 0.32) gives

0.32 = 0.12*1 + b.

b = 0.32 - 0.12*1

b = 0.2

So, the equation is y = 0.12*x + 0.2

(3)

Equation gotten in the previous part of the exercise relate y (cost of the call) with x (number of minutes). So, if you replace x = 15 minutes, then you will get call cost in $.

y = 0.12*15 + 0.2  

y = 2

(4)

In an analogous way as before, you have to replace y = $1.52 and isolate x (which is in minutes).

1.52 = 0.12*x + 0.2

0.12*x = 1.52 - 0.2  

x = 1.32/0.12

x = 11

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The complete question is as below:-

A college basketball player makes 80% of his free throws. Over the course of the season, he will attempt 100 free throws. Assuming free throw attempts are independent, the probability that the number of free throws he makes exceeds 80 is approximate:____________.

A) 0.2000

B) 0.2266

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D) 0.7734

<h3>What is probability?</h3>

Probability is defined as the ratio of the number of favourable outcomes to the total number of outcomes in other words the probability is the number that shows the happening of the event.

Given that,

A college basketball player makes 80% of his free throws.

Over the course of the season, he will attempt 100 free throws.

Assuming free throw attempts are independent.

We have to determine,

The probability that the number of free throws he makes exceeds 80 is.

According to the question,

P(Make a Throw) = 80% = 0.80

number of free throws n = 100

Binomial distribution:

Mean: n x p = 0.80 x 100 = 80

Then, The standard deviation is determined by using the formula;

\sigma = \sqrt{np(1-P)

  = \sqrt{80\TIMES (1-0.80)

  = \sqrt16

  = 4

Therefore,

To calculate the probability that the number of free throws he makes exceeds 80 we would have to make the following calculation:

P ( x> 80) = 1 - P ( x < 80)

To calculate this value via a normal distribution approximation:

P ( Z < \dfrac{80-80}{4}) = 1-P(Z < 0 ) = 1 - 0.50 = 0.500

Hence, The probability that the number of free throws he makes exceeds 80 is approximately 0.5000.

To know more about probability follow

brainly.com/question/24756209

#SPJ1

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