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3 years ago

X and Y are two mutually exclusive events. P(X)= 0.55 and P(X or Y)=0.7. Work out P(not Y) (2 marks)

Mathematics

1 answer:

Nesterboy [21]3 years ago

8 0

P(x) = 0.55

P(x ∪ y) = 0.70 →→ P(x) +P(y) = 0.70 →→ 0.55 + P(y) =0.70→→P(y) = 0.15
If P(NOT y) = 1- 0.15 = 0.85

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Please help me. I really don't know what to do.

Natali [406]

To me it is C. or D. but you would need a second opinion. Sorry.

7 0

3 years ago

4. Write an equation for the line that is parallel to the given line and that passes

pentagon [3]

Answer:

$y=\frac{5}{2}x-14$

Step-by-step explanation:

Hi there!

What we need to know:

Linear equations are typically organized in slope-intercept form: $y=mx+b$ where m is the slope and b is the y-intercept (the value of y when x is 0)
Parallel lines always have the same slope

1) Determine the slope (m)

$y=\frac{5}{2}x-10$

In the given equation, $\frac{5}{2}$ is in the place of m, making it the slope. Because parallel lines have the same slope, the line we're currently solving for therefore has a slope of $\frac{5}{2}$ . Plug this into $y=mx+b$ :

$y=\frac{5}{2}x+b$

2) Determine the y-intercept (b)

$y=\frac{5}{2}x+b$

Plug in the given point (-6,-29) and solve for b

$-29=\frac{5}{2}(-6)+b$

Simplify -6 and 2

$-29=\frac{5}{1}(-3)+b\\-29=(5)}(-3)+b\\-29=-15+b$

Add 15 to both sides to isolate b

$-29+15=-15+b+15\\-14=b$

Therefore, the y-intercept is -14. Plug this back into $y=\frac{5}{2}x+b$ :

$y=\frac{5}{2}x-14$

I hope this helps!

4 0

3 years ago

Calculate the diameter of circle j if the circumference is 100.48

shtirl [24]

31.98, I am not 100% sure.

6 0

3 years ago

Adult tickets to a a basketball game cost $5. Student tickets cost $1. A total of $2,757 was collected on the sale of 1,185 tick

Anastaziya [24]

Answer:

Number of Adults Ticket=393

Number Of Students Tickets=792

Step-by-step explanation:

Let 'x' be the Adult's tickets

Let 'y' be the Student's tickets

x+y=1185 (total sold tickets)

5x+y=2757(total cost of tickets)

-(5x+y=2757)x+y=1185

(-5x-y)- x+y=1185-2757

=-4x+0 = (-1572)

=-4x=(-1572)

x= (-1572)÷-4

=393

=x+y=1185

=393+y=1185

=y=792

So Number of Adults Ticket=393

Number Of Students Tickets=792

Hope it Help

7 0

3 years ago

Question 2 (Essay Worth 10 points)

sashaice [31]

Ryan is correct, the mean is about 8.1.

To find the mean, you have to add up all the values, then divide by the total amount.

For Sample A:
60 x 6 + 90 x 7 + 145 x 8 + 150 x 9 + 55 x 10 = 4050

If you add up all the adults, you have 500.

Dividing 4050 by 500 = 8.1

Sample B will produce a very similar result.

5 0

3 years ago