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3 years ago

What is the probability that a student selected at random is a boy?

Mathematics

1 answer:

rjkz [21]3 years ago

8 0

Answer:

Pr(B) = 0.69

Pr(J/B) = 0.35

Pr(J∩B) = 0.14

Pr(G/J') = 0.66

Pr(G) = 0.31

Step-by-step explanation:

Applying,

Pr = possible outcome (a)/Total outcome(t)

(1) Pr(B) = a/t............ Equation 1

From the diagram

Given: a = 220+65+35 = 320, t = 220+65+35+145 = 465

Substitute these values into equation 1

Pr(B) = 320/465

Pr(B) = 0.69

(2) Pr(J/B) = (35+65)/(220+65)

Pr(J/B) = 100/285

Pr(J/B) = 0.35

(3) Pr(J∩B) = 65/465

Pr(J∩B) = 0.14

(4) Pr(G/J') = 145/220

Pr(G/J') = 0.66

(5) Pr(G) = 145/465

Pr(G) = 0.31

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Write the slope-intercept form of the equation of the line through the given points.

Lubov Fominskaja [6]

Answer:

y= -3x + 11

Step-by-step explanation:

Slope formula: y^2- y^1 divide by x^2- x^1

y^2 is -1

y^1 is 5

x^2 is 4

x^1 is 2

-1 - 5 = -6

4 - 2 = 2

-6/2 = - 3

Y-intercept: Using the slope and either of the two points, replace the y, m, and x in y= mx+b.

Using (2, 5)

5= -3(2) + b

5= -6 + b

Add 6 to both sides in order to eliminate -6.

-6 + 6 = 0

5 + 6 = 11

11 = b

Combine your slope-intercept formula:

y= 3x + 11

6 0

4 years ago

Read 2 more answers

What is x-2y=-1 and 2x+y=4 using elimination step by step

otez555 [7]

Answer:

x = 7/5 , y = 6/5

Step-by-step explanation using elimination:

Solve the following system:

{x - 2 y = -1 | (equation 1)

2 x + y = 4 | (equation 2)

Swap equation 1 with equation 2:

{2 x + y = 4 | (equation 1)

x - 2 y = -1 | (equation 2)

Subtract 1/2 × (equation 1) from equation 2:

{2 x + y = 4 | (equation 1)

0 x - (5 y)/2 = -3 | (equation 2)

Multiply equation 2 by -2:

{2 x + y = 4 | (equation 1)

0 x+5 y = 6 | (equation 2)

Divide equation 2 by 5:

{2 x + y = 4 | (equation 1)

0 x+y = 6/5 | (equation 2)

Subtract equation 2 from equation 1:

{2 x+0 y = 14/5 | (equation 1)

0 x+y = 6/5 | (equation 2)

Divide equation 1 by 2:

{x+0 y = 7/5 | (equation 1)

0 x+y = 6/5 | (equation 2)

Collect results:

Answer: {x = 7/5 , y = 6/5

5 0

4 years ago

Sally was getting ready to go on a hiking trip with friends across part of the Appalachian Trail. They were trying to determine

dem82 [27]

Answer:

They'll walk 140.28 miles in 42 hours at that pace.

Step-by-step explanation:

In order to find the distance they can travel at a steady pace, we need to take the pace in wich they intend to travel and multiply it by the time that they intend to travel. In this case their pace is 5 miles every 1.5 hours it means that their pace is 5/1.5 = 3.34 m/h, if they travel for 42 hours they'll travel a distance of:

distance = 3.34*42 = 140.28 miles

5 0

3 years ago

What are two ratios that are equivalent to 9/12

Gnom [1K]

Find the greatest common factor (GCF) of 9 and 12 using factor trees. The GCF is 3

Divide each term (9 and 12) over 3
9/3 = 3
12/3 = 4

So 9/12 reduces to 3/4

In other words, 9/12 = 3/4

--------------------------------------

Now focusing on 3/4, we can multiply top and bottom by the same value. Let's say we multiply top and bottom by 5

3*5 = 15
4*5 = 20

So 3/4 = 15/20

--------------------------------------

So two ratios equivalent to 9/12 are 3/4 and 15/20. There are infinitely other ratios that are equivalent.

In short, the answers are 3/4 and 15/20.

6 0

4 years ago

Read 2 more answers

Do you know this please

patriot [66]

Answer: 159%

Step-by-step explanation: all of the first square is shaded, which is obviously 100%, 59 out of 100 is shaded in the second one which means it is 159%

8 0

3 years ago