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Bezzdna [24]
3 years ago
8

A basketball player has an 85% chance of making each free throw. What is the probability that the player makes exactly three out

of six free throws?
Mathematics
1 answer:
pochemuha3 years ago
7 0

Answer:

0.132651

Step-by-step explanation:

for any 3 passes and any 3 fails the probability is: 0.85×0.85×0.85×0.15×0.15×0.15=0.0020726719

number of free throws: 6

number of possible variations and orders of scoring: 2⁶=64

probably for 3 on 6 is 0.0020726719×64=0.132651

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Boston, Massachusetts had a population of 617,594 people during January 1 2010, and 675,647 people on January 1 2020.
tigry1 [53]

Answer:

  • See below

Step-by-step explanation:

<u>Exponential function is:</u>

  • y = abˣ

<u>If we consider the time difference in years as x and the initial population as a, then we get:</u>

  • 675647 = 617594*b¹⁰

<u>Find the value of b:</u>

  • b¹⁰ = 675647/617594
  • b¹⁰ = 1.09399864636
  • b = 1.09399864636^(1/10)
  • b = 1.009 (rounded)

<u>The equation we got is:</u>

  • y = 617594*1.009ˣ

Here we have y- population after x years since 2010, x - the number of years since 2010 and 1.009 is the population growth rate.

5 0
2 years ago
There are 18 red and 20 blue marbles in a jar. Write the simplified ratio of blue to red marbles in 3 different ways
AnnZ [28]

20 to 18

20:18

20/ 18

Step-by-step explanation:

Ratios can be writen in 3 different formats. You can write your ratios in fraction form (Example- 20/18), colan form, (Example- 20:18) and finaly word form (Example- 20 to 18). Hope this was acurate and helpful. Have a magical rest of your day!

3 0
3 years ago
Read 2 more answers
Find the area of the trapezoid.<br> Answer options: 8sqrt2, 4sqrt3, 12.0, 16sqrt2
Elis [28]

Answer:

=  8sqrt2

Step-by-step explanation:

Area of a trapezium is given by the formula;

1/2(a+b)h ;

Where a and b are the parallel sides and h is the perpendicular height.

a = 3 cm, b= 5 cm

To get; h, we use the Pythagoras theorem;

h² = 3² - 1²

   h² = 8

h = √8

  = √4√2

 = 2√2

Thus;

Area = 1/2(3 +5) 2√2

         = 1/2 ×8 × 2√2

       <u>  = 8√2 cm² or  8sqrt2 cm²</u>

8 0
3 years ago
Which of the following proportions is true?<br> 4/16=2/14 15/20=24/36 12/15=47/50 16/36=12/27
KengaRu [80]
The correct proportion is 16/36=12/27
4 0
3 years ago
Someone please help me I don’t know this :(
Shalnov [3]

9514 1404 393

Answer:

  x = 10; WX = 5; HJ = 10

Step-by-step explanation:

The hash marks indicate that points W and X are midpoints of their respective segments. That makes WX a midline of the triangle. The midline is always half the length of the base (HJ). We can use this fact to write an equation relating the lengths.

  HJ = 2·WX

  x = 2(x -5) . . . .substitute the given expressions

  x = 2x -10 . . . . eliminate parentheses

  10 = x . . . . . . . add 10-x to both sides

This value of x tells you that ...

  HJ = x = 10

  WX = x -5 = 5

4 0
2 years ago
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