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Zarrin [17]
2 years ago
12

Find the m GEOMETRY 9th:)

Mathematics
1 answer:
maksim [4K]2 years ago
4 0

Answer:

∠ WOT = 85

Step-by-step explanation:

To find the measure of ∠WOT

we know that ∠UOV is 180 in the pic

so by letting ∠WOT = x

∠UOT + ∠WOT + ∠WOV = 180

30 + x + 65 = 180

95 + x = 180

x = 180-95

x = 85

so ∠ WOT = 85

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An individual who has automobile insurance from a certain company is randomly selected. Let Y be the number of mov- ing violatio
olga2289 [7]

Answer:

a) E(Y) = \sum_{i=1}^n Y_i P(Y_i)

And replacing we got:

E(Y) =0*0.60 +1*0.25 +2*0.1 +3*0.05 = 0.60

b) E(Y^2) =0^2*0.60 +1^2*0.25 +2^2*0.1 +3^2*0.05 = 1.1

And then the expected value would be:

E(100Y^2) = 100*1.1= 110

Step-by-step explanation:

We assume the following distribution given:

Y       0       1        2        3

P(Y) 0.60 0.25  0.10  0.05

Part a

We can find the expected value with this formula:

E(Y) = \sum_{i=1}^n Y_i P(Y_i)

And replacing we got:

E(Y) =0*0.60 +1*0.25 +2*0.1 +3*0.05 = 0.60

Part b

If we want to find the expected value of 100 Y^2 we need to find the expected value of Y^2 and we have:

E(Y^2) = \sum_{i=1}^n Y^2_i P(Y_i)

And replacing we got:

E(Y^2) =0^2*0.60 +1^2*0.25 +2^2*0.1 +3^2*0.05 = 1.1

And then the expected value would be:

E(100Y^2) = 100*1.1= 110

4 0
3 years ago
In a survey of more than 6000 people, 95% of the respondents claimed to prefer Penelope's Puffy Popcorn over any other brand of
sukhopar [10]
<span>A. People who were promised free samples of Penelope's Puffy Popcorn for completing the survey</span>
4 0
3 years ago
Read 2 more answers
Please assist me with the following compound interest problems.​
Sphinxa [80]

Answer:

  see the attachments below

Step-by-step explanation:

When the calculations are repetitive using the same formula, it is convenient to put the formula into a spreadsheet and let it do the calculations.

That is what was done for the spreadsheet below. The formula used is the one given in the problem statement.

__

For doubling time, the formula used is the one shown in the formula bar in the attachment. (For problem 11, the quarterly value was used instead of the monthly value.) It makes use of the growth factor for the period used for the rest of the problem.

The doubling time is in years.

__

The doubling time can also be found using a graphing calculator. In the second attachment, we have written a function that shows the multiplier for a given interest rate r and compounding n. The x-intercept in each case is the solution for t that makes the multiplier be 2. The steeper curve is associated with the higher interest rate.

8 0
3 years ago
Read 2 more answers
Camille invested money into an account that earned annual simple interest with a rate of 6.5%. She made no additional deposits o
vichka [17]

Answer:

$30341.88

Step-by-step explanation:

Because it says simple interest, use the formula I = Prt.

(I is interest, r is the % rate as a decimal, t is the time)

So, you have to solve the equation,

1755 = P (0.065)(9)

Since 0.065 x 9 = 0.585, the equation can be simplified to

1755 = 0.585P

Then, to get P, you divide both sides by 0.585

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4 0
3 years ago
HELP
Yakvenalex [24]

Answer:

5. 50.3 m²

6. 113.1 cm²

7. 102.1 yards²

8.  50.3 yards²

9.  452.2 ft²

10.379.8 ft²

Step-by-step explanation:

Area of  a circle = nr²

The circumference of a circle = 2nr

n = pi = 22/7

r = radius

the diameter is the straight line that passes through the centre of a circle and touches the two edges of the circle.

A radius is half of the diameter

radius = diameter / 2

5. (22/7) x 4² = 50.3 m²

6.  (22/7) x 6² =113.1 cm²

7. radius = 11.4/2 = 5.7 yards

(22/7) x 5.7² =102.1 yards²

8. radius = 8/2 = 4 yards

(22/7) x 4² = 50.3 yards²

9. 2nr = 75.4 yards

2 x (22/7) x r = 75.4

to find r, divide both sides of the equation by 2 and 7/22

r = 12 ft

Area =  (22/7) x 12² = 452.2 ft²

10. 2nr = 69.1 yards

2 x (22/7) x r = 69.1

to find r, divide both sides of the equation by 2 and 7/22

r = 10.99 ft²

Area = (22/7) x 10.99² = 379.8 ft²

the tenth is the first number after the decimal place. To convert to the nearest tenth, look at the number after the tenth (the hundredth). If the number is greater or equal to 5, add 1 to the tenth figure. If this is not the case, add zero

8 0
3 years ago
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