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timama [110]
3 years ago
5

The probability that Alma makes a three-point shot in basketball is 20 % 20%20, percent. For practice, Alma will regularly shoot

a series of these shots until she makes one. She's curious how many shots it will typically take her to get her first successful shot. She simulated 50 5050 trials of three-point shots where each shot had a 0.2 0.20, point, 2 probability of being made, and in each trial, she counted how many shots it took to get the first successful shot.

Mathematics
1 answer:
Rainbow [258]3 years ago
8 0

Complete Question: Check the file attached to this document to see the complete question

Answer:

P(X < 7) = 0.76

Step-by-step explanation:

Counting properly from the diagram attached to the question,

number of trials it took her to make less than 7 shots(i.e. 0 to 6 shots) = 38

The total number of trials she made = 50

Probability that it takes fewer than 7 shots to get her first successful shot, P(X < 7) = (number of trials it took to make less than 7 shots)/(Total number of trials)

P(X < 7) = 38/50

P(X < 7) = 0.76

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which describes 1/8 is it a real number and rational number is it a real number and an irrational number and a natural number is
Aloiza [94]
Real numbers are all numbers found on the number line (positive, negative, fractions, square roots, whole numbers).

Rational numbers are fractions, or quotients, of two integers.

Irrational numbers are numbers with decimals that continue on (without repetition). They cannot be written as a fraction of two integers. Irrational number examples: √41, √97, √15

Natural numbers are whole, positive numbers.

Integers are whole, non-fraction numbers.


ANSWER: 1/8 is not a whole number, an integer or a natural number. It is a real and rational number (choice #1).

Hope this helps! :)
3 0
2 years ago
A car travels distance of 340km at an average speed of 85km/h.How long does it take the car to travel in distance?​
Naily [24]
Distance = speed x time

time = distance/speed
= 340/85
= 4h
3 0
2 years ago
Read 2 more answers
A solid is formed by adjoining two hemispheres to the ends of a right circular cylinder. An industrial tank of this shape must h
mestny [16]

Answer:

Radius =6.518 feet

Height = 26.074 feet

Step-by-step explanation:

The Volume of the Solid formed  = Volume of the two Hemisphere + Volume of the Cylinder

Volume of a Hemisphere  =\frac{2}{3}\pi r^3

Volume of a Cylinder =\pi r^2 h

Therefore:

The Volume of the Solid formed

=2(\frac{2}{3}\pi r^3)+\pi r^2 h\\\frac{4}{3}\pi r^3+\pi r^2 h=4640\\\pi r^2(\frac{4r}{3}+ h)=4640\\\frac{4r}{3}+ h =\frac{4640}{\pi r^2} \\h=\frac{4640}{\pi r^2}-\frac{4r}{3}

Area of the Hemisphere =2\pi r^2

Curved Surface Area of the Cylinder =2\pi rh

Total Surface Area=

2\pi r^2+2\pi r^2+2\pi rh\\=4\pi r^2+2\pi rh

Cost of the Hemispherical Ends  = 2 X  Cost of the surface area of the sides.

Therefore total Cost, C

=2(4\pi r^2)+2\pi rh\\C=8\pi r^2+2\pi rh

Recall: h=\frac{4640}{\pi r^2}-\frac{4r}{3}

Therefore:

C=8\pi r^2+2\pi r(\frac{4640}{\pi r^2}-\frac{4r}{3})\\C=8\pi r^2+\frac{9280}{r}-\frac{8\pi r^2}{3}\\C=\frac{9280}{r}+\frac{24\pi r^2-8\pi r^2}{3}\\C=\frac{9280}{r}+\frac{16\pi r^2}{3}\\C=\frac{27840+16\pi r^3}{3r}

The minimum cost occurs at the point where the derivative equals zero.

C^{'}=\frac{-27840+32\pi r^3}{3r^2}

When \:C^{'}=0

-27840+32\pi r^3=0\\27840=32\pi r^3\\r^3=27840 \div 32\pi=276.9296\\r=\sqrt[3]{276.9296} =6.518

Recall:

h=\frac{4640}{\pi r^2}-\frac{4r}{3}\\h=\frac{4640}{\pi*6.518^2}-\frac{4*6.518}{3}\\h=26.074 feet

Therefore, the dimensions that will minimize the cost are:

Radius =6.518 feet

Height = 26.074 feet

5 0
2 years ago
Graph the function -2 - 1
djverab [1.8K]
The answer is -3 because - and - are together plus
8 0
3 years ago
Mai had $14.50. She spent $5.25 at the arcade. What is the exact amount of money<br> Mai has left?
patriot [66]

Answer:

nine dollars and 27 cents

Step-by-step explanation:

if u minus 14.50 minus 5.25 u get 9.27 9 dollars and 27 cents

Yw!

4 0
2 years ago
Read 2 more answers
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