A company prices its tornado insurance using the following assumptions:
• In any calendar year, there can be at most one tornado.
• In any calendar year, the
probability of a tornado is 0.15.
. The number of tornadoes in any calendar year is independent of the number of tornados in any other
calendar year.

Using the company's assumptions, calculate the probability that there are fewer than 3 tornadoes in a 19 year period.

Answers

Answer 1

Answer:

.441320612

or

44.132%

Step-by-step explanation:

This is binomial

fewer than 3 is equal to p(0)+p(1)+p(2)

[tex]p(0)={19\choose0}*.15^0*(1-.15)^{19}=.045599448\\p(1)={19\choose1}*.15^1*(1-.15)^{18}=.152892268\\p(2)={19\choose2}*.15^2*(1-.15)^{17}=.242828896\\p(0)+p(1)+p(2)=.441320612[/tex]


Related Questions

The dot plot below represents this set of data:
8, 7, 5, 5, 4, 2, 3, 3, 4, 6, 5, 4, 5, 5

Answers

Answer:

False

Step-by-step explanation:

There isnt two eights

...what are consecutive multiples ​

Answers

Answer:

H

Step-by-step explanation:

Let represent A and B

A and B is the sum of the first 50 consecutive multiples of 3 and 6, this is the same as a arithmetic sequence because arithmetic sequences have a common sum.

We can represent this as

[tex]a _{n} = a {}^{1} + d(n - 1)[/tex]

where a^1 is the first term, d is the common sum, n is the number of multiples we adding.

The first term for both A and B respectively is 3 and 6.

Multiples implies that the Difference between A and B are 3 and 6 respectively. There are 50 consecutively. multiples.

Plug in the known parts for both.

[tex]3 + 3(49) = 150[/tex]

[tex]6 + 6(49) = 300[/tex]

We need to what percent of find 150% of 300.

B is twice as A, so this means that we need to multiply 2 by it original or 100% of it self.

[tex]2 \times 100 = 200[/tex]

So 200% is the answer.

These tables of values represent continuous functions. In which table do the
values represent an exponential function?

Answers

Answer:

A

Step-by-step explanation:

An exponential function can be written as y = a * bˣ . This means that there is a common ratio, b, between each number.

For A, the ratio between the first and second number is 8/2 = 4, the ratio between the second and third is 32/8 = 4, and so on. This seems correct, but we can check the other tables to make sure.

For B, the ratio between the first and second number is 34/14 ≈ 2.4 and the ratio between the second and third number is 54/34 ≈ 1.6 . These are not equal, so B is incorrect

For C, the ratio between the first and second number is 8/2=4 and the ratio between the second and third number is 14/8 = 1.75 . These are not equal, so C is incorrect

For D, the ratio between the first and second number is 5/4 = 1.25 and the ratio between the second and third number is 6/5 = 1.2 . These are not equal, so D is incorrect

I just need the numbers can anyone help me with this ??

Answers

Step-by-step explanation:

Hello!

In order to graph this, a point would have to go through (-6, 1). Then, since it says it needs a slope of 5 (or, to make things a bit easer, we could see it as 5/1) we'd need the next point to be 5 up and 1 across.

One possible solution:

(-6, 1) -> (-5, 6)

One possible solution (-6,1) —-> (-5,6)

√a²-b² +√2ab-b² >a giúp với huuuuuuuuuuuuuuuuuuuuuuu

Answers

Step-by-step explanation:

버터처럼 부드럽게

What should be added to twice the rational number
-1/3 to get 4/5

Answers

Answer:

[tex]1 \frac{7}{15} [/tex]

Step-by-step explanation:

[tex] - \frac{1}{3} \times 2 + x = \frac{4}{5} \\ - \frac{2}{3} + x = \frac{4}{5} \\ x = \frac{4}{5} + \frac{2}{3} \\ x = \frac{12 + 10}{15} \\ x = \frac{22}{15} \\ x = 1 \frac{7}{15} [/tex]

find the inequality represented by the graph​


would I write it y is more than or equal to -2x-5 ?

Answers

Answer:

y ≥ -2x-5

you use the greater than and equals to sign

how many subsets can be formed of a set A={a,b}​

Answers

Answer:

4

Step-by-step explanation:

(a,a),(a,b),(b,a),(b,b)

If Rs 42,000 is left after paying an income tax at the rate of 30%.Find the income

Answers

Answer:

Total income is 60,000

Step-by-step explanation:

I. if paid rate is 30%, that's mean 42,000 is 70%

II. Perform ratio 70/100 = 42,000/x

                       70*x = 100 * 42,000

                        70x = 4,200,000

                            x = 60,000

III. If you perform 30/100 = x/60,000 will be 42,000

Sorry for late.

                       

Find the value of 65°11' - 58°32'​

Answers

Answer:

dddddd=666=7777

Step-by-step explanation:

write the radical [tex]\sqrt{\frac{245}{256} }[/tex] in its simplest form.

Answers

Answer:

0.06114248375

Step-by-step explanation:

I've done this problem before

Someone help me with this

Answers

Answer:

(6,-3) and 5

Step-by-step explanation:

Compare it to the standard equation of circle and we will get center is (6,-3) and radius=5

Set up the appropriate trigonometric ratio to determine the value of the safety angle.

Answers

Step-by-step explanation:

sin/cos=tan theta.It is the value of the safety angle

Solve the equation for all values of x.
(22 – 16)(x2 + 49) = 0
Please help

Answers

Answer:

-24.5 or 7i or -71 (see below)

Step-by-step explanation:

Im gonna guess that you mean (22-16)(2x+49)=0

Therefore, since one of the brackets must be equal to 0 and 22-16 is 6, 2x+49=0 so x is -24.5

However, if you meant (22-16)(x^2+49)=0

then x^2+49=0 so x^2 =-49

Therefore, the answer is complex and therefore 7i or -7i

I'M BEGGING YOU PLEASEEEE
A carnival game has 4,000,000 dollars as prizes. The first ticket drawn wins $15, the second ticket drawn wins $45, the third ticked wins $135 and so on.
a) How many tickets can be drawn without giving away more than the allotted prize money?
b) how much money is left over after all the prizes are awarded?

I WILL GIVE BRAINLIEST

Answers

if possible brainlist?

Step-by-step explanation:

A i think 3

and

B 3,999,805 will be left over

Not quite sure how to solve

Answers

Hi again! Sorry my work is messy but I hope u understand. I got 126 as my answer and 14/5 is the scale factor

can you help me please.

Answers

45 is the answer
hope this helps :)

Answer:

45

Step-by-step explanation:

1st term is 2

2nd term is 3

3rd term is 4

.

.

.

nth term is (n+1)

because common difference is 1, so 1st term = 1 + common difference = 1+1 = 2, for any term, we take n + common difference, so n+1

putting n = 44,

44th term is 44+1 = 45

Answered by GAUTHMATH

Full working out for this question please.

Answers

Answer:

(0. - 11 )

Step-by-step explanation:

To find the y- intercept let x = 0 and solve for y, that is

y = - 3(0)² - 7(0) - 11 = 0 - 0 - 11 = - 11

y- intercept = (0, - 11 )

Please help me. I have no idea to this question.
a) 3ax+3ay-bx-by
b) 10ay²-5by²+2a²y-aby

Answers

Answer:

a)3a(x+y)-b(x+y)

=(3a-b)(x+y)

b)5y(2ay-by)+a(2ay-by)

=(5y+a)(2ay-by)

B
C
А
Find the length of "a", to
the nearest tenth, using
the Pythagorean Theorem.
Enter

Answers

Answer:

5.3

Step-by-step explanation:

a^2+6^2=8^2.

a^2=64-36. a=2*sqrt(7)=5.3

. She lets numbers from 1 to __ represent defective batteries, and __ to __ represent working batteries. She generates this list: 120, 413, 472,564, 38, 266, 344, 476, 486, 177, 26, 331,358,131,352, 227, 31, 253, 31, 277 ​

Answers

Answer:

Since 50 out of the 600 batteries  are defective, She lets numbers from 1 to 50 represent defective batteries, and 51 to 600 represent working batteries

~OAmalOHopeO~

cho x,y thuộc n thoả mãn x hia 3 dư 1,y chia 3 dư 2.hỏi x.y chia 3 có số dư bằng bao nhiêu

Answers

Answer:

2

Step-by-step explanation:

x÷3 dư 1-->x=3a+1

y÷3 dư 2-->y=3b+2

x×y=(3a+1)×(3b+2)

=9ab+6a+3b+2

Mà 9ab, 6a, 3b chia hết cho 3, 2 chia 3 dư 1

==>x×y chia 3 dư 2

(10^2+8^2+6^2+4^2+2^2)- (9^2+7^2+5^2+3^2+1^2)

Answers

55

you know you can just use a calculator or a search engine for that, right?

Answer:

i got 69 it should be right

Step-by-step explanation:

make x the subject a=7x/k-r

Answers

Answer:

x = [tex]\frac{a(k-r)}{7}[/tex]

Step-by-step explanation:

Given

a = [tex]\frac{7x}{k-r}[/tex] ( multiply both sides by (k - r) )

a(k - r) = 7x ( divide both sides by 7 )

[tex]\frac{a(k-r)}{7}[/tex] = x

What is the estimate for 312+138+207

Answers

Answer:

657

Step-by-step explanation:

312 + 138 + 207

= 450 + 207

= 657

Answer:

600

Step-by-step explanation:

To round your answer, you check the tenths place to see if it is under 5 or above 5. If it is under 5, your answer will stay in the number the hundreds place is in currently. If it is above 5, you will add one to the hundreds place.

312: there is one in the tenths place, so it will stay as 300.

138: there is three in the tenths place, so it will stay as 100.

207: there is a zero in the tenths place, so it will stay as 200.

If you are doing it with the one's place, it is the same method. Either round up or down.

300 + 100 + 200 = 600

The answer is 600.

How many solutions does 6 - 3x = 4 - X-3 - 2x have?
O A. Infinitely many solutions
O B. No solutions
C. Two solutions
D. One solution

Answers

Answer:

6 - 3x = 4 - X-3 - 2x

-3x+x+2x=4-6-3

0x=-5

No solutions

What is the first step in solving this system by elimination?
2x + 10y = -20
-x + 4y = 28

A. Multiply the first equation by -2.

B. Combine the equations as they are.

C. Multiply the second equation by 2.

D. Multiply the second equation by -4.

Answers

You want to try and get rid of one of the variables ( x or y) so you would multiply the second equation by 2 which would make the x variable -2x which then when added to the first equation would eliminate the x variable.

Answer: c. Multiply the second equation by 2.

prime factorization of 44
231 give the serious
answer​

Answers

Answer:

11,4021

Step-by-step explanation:

the steps are simply ,

44231

11^4021

Answer:

The Prime Factorization is:

11 x 4021

In Exponential Form:

111 x 40211

CSV Format:

11, 4021

All Factors of 44231:

1, 11, 4021, 44231

hope it helps

please mark Brainliest

Find the measure of the indicated angle to the nearest degree

Answers

Answer:

19 degrees

Explanation:

The tangent ratio is opposite/adjacent. To find the angle however you need to take the inverse so the answer will be tan^-1(17/50).

Find the missing segment in the image below

Answers

Answer:

again it has a ratio

Step-by-step explanation:

follow this steps.

firstly look at the side and you got the ratio 24/16

secondly write 42/? and multiply by 24/16

the answer is ?*24=42*16 and divide it by 8 and write again ?*3=42*2 and finally the answer is ?=28

The answer to the missing portion is 28
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