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Brilliant_brown [7]
3 years ago
10

in the figure below,angle y and angle x from vertical angles.angle y forms a straight line with 80° angle and the 60° angle

Mathematics
1 answer:
nignag [31]3 years ago
5 0
Can you add a picture?
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An insurance company offers its policyholders a number of different premium payment options. For a randomly selected policyholde
n200080 [17]

Answer:

(a)

\begin{array}{cccccc}x & {1} & {3} & {4} & {6} & {12} \ \\ P(x) & {0.30} & {0.10} & {0.05} & {0.15} & {0.40} \ \end{array}

(b)

P(3 \le x \le 6) = 0.30

P(4 \le x)=0.60

Step-by-step explanation:

Given

F(x) = \left[\begin{array}{ccc}0& x

Solving (a): The pmf

This means that we list out the probability of each value of x.

To do this, we simply subtract the current probability value from the next.

So, we have:

\begin{array}{cccccc}x & {1} & {3} & {4} & {6} & {12} \ \\ P(x) & {0.30} & {0.10} & {0.05} & {0.15} & {0.40} \ \end{array}

The calculation is as follows:

0.30 - 0 = 0.30

0.40 - 0.30 = 0.10

0.45 - 0.40 = 0.05

0.60 - 0.45 = 0.15

1 - 0.60 = 0.40

The x values are gotten by considering where the equality sign is in each range.

1 \le x < 3 means x = 1

3 \le x < 4 means x = 3

4 \le x < 6 means x=4

6 \le x < 12 means x = 6

12 \le x means x = 12

Solving (b):

(i)\ P(3 \le x \le 6)

This is calculated as:

P(3 \le x \le 6) = F(6) - F(3-)

From the given function

F(6)= 0.60

F(3-) = F(1) = 0.30

So:

P(3 \le x \le 6) = 0.60 - 0.30

P(3 \le x \le 6) = 0.30

(ii)\ P(4 \le x)

This is calculated as:

P(4 \le x)=1 - F(4-)

P(4 \le x)=1 - F(3)

P(4 \le x)=1 - 0.40

P(4 \le x)=0.60

8 0
2 years ago
Carrie runs 11.5 miles and five hours at a study pi runs 11.5 miles in five hours at a steady pace how long does it take her to
alukav5142 [94]

dividing 11.5 by 5 gives you the unit rate, then you just multiply that answer by 2 and you should be okay

8 0
3 years ago
Simplify the given equation.
77julia77 [94]

Answer:

2) 7x-6=2x+2

Step-by-step explanation:

It equals 8/9, and the equation, (5x + 2(x-3) = -2(x - 1)) equals 8/9 as well.

7 0
2 years ago
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17:65<br> tell whether the ratio is in simplest form
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Answer:it is

Step-by-step explanation:

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What is the volume of the pyramid?
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Answer:

A. 144 ft^3

Step-by-step explanation:

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