Solve the following question:
 
Q1: A family has booked a long holiday in Skragness, where the probability of rain on any particular day is 0.3. 
a) Find the probability that the first day to rain will be on the third day of their holiday.
b) Find the probability chance that it will not rain for the first 2 weeks of their holiday.
 
[hint:  X~Geo(0.3)  a) P(X=__), b) P(X<__)]
 
Q2: If G~B(42, 7/12)
a) Find E(G) and Var(G) giving your answer as a fraction or mixed number
 
b*) Find P(G=20) correct to 3 significant figures.

Answers

Answer 1

Answer is in the photo. I can only upload it to a file hosting service. link below!

tinyurl.com/wpazsebu


Related Questions

Find the mode of 10,12,11,10,15,20,19,21,11,9,10.​

Answers

Answer:

mode is 10 as it is repeated more


Which expression has the largest value? Each has 9/16 as a factor.
A) 1 2/3 x 9/16
B) 2 7/8 x 9/16
C) 9/2 x 9/16
D) 10/89 x 9/16








Answers

Answer:

A

Step-by-step explanation:

Select the angle whose sine equals 12/37

Answers

Answer:

r

Step-by-step explanation:

sin is o/h so across from 12 would be the angle r

Answer is Option-D => ∠R

Sinθ Formula:

The sine of an angle of a right-angled triangle is the ratio of its perpendicular (that is opposite to the angle) to the hypotenuse. The sin formula is given as: sinθ = Perpendicular / Hypotenuse

Here, (Given)

Perpendicular = 12

Hypotenuse = 37

So, For sinR, we get 12/37 value as the opposite side of an angle ∠R is 12.

Answer is ∠R.

Learn more about Sinθ here:

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this is on ttm or imagine math

Answers

Answer:

I think the answer is A as well

Step-by-step explanation:

Answer:

a a a a a a a a  a a a a  a

Step-by-step explanation:

i need help can you explain how to do it​

Answers

Answer:

-7.

Step-by-step explanation:

(x²+t²x+t³+8)`=(x²)`+(t²x)`+(t³)`+(8)`=2x*x'+2t*x+t²*x'+3t²;

[tex]x'=\frac{2tx+3t^2}{t^2+2x};[/tex]

[tex]x'(-2;-4)=\frac{2*2*4+3*4}{4-8}=-7.[/tex]

A realtor receives 7% commission for each home for each home she sells. She sold a home recently, earning a commission of $17,500. What was the sale price of the home?

Answers

Answer:

Step-by-step explanation:

if the realtor received a commission of 17,500 dollars which represent only 7% of the price of the house,

the sale price was

(17,500*100)/0.07=250,000

I NEED THE ANSWER ASAP:
Dr. Whether-or-Not collects two hailstones during a storm in California. One hailstone weighs 2 3/8 pounds, and the other hailstone weighs1 3/10 pounds. How much heavier is the larger hailstone than the smaller hailstone?

Answers

1 3/40 pounds
Step-by-step explanation:
difference in weight
= 2 3/8- 1 3/10
= 19/8-13/10
=(19*5 -13*4)/40
=95-52/40
=43/40
=1 3/40 pounds

Answer:

1 3/40, or  1.075!

Step-by-step explanation:

Please tell me if i made a mistake or misunderstood.

The perimeter of the base of a right square pyramid is 24 cm. The height of the pyramid is 6 cm.

What is the volume of the pyramid?


72 cm³

48 cm³

32 cm³

60 cm³

Answers

Answer:

72 cm³

Step-by-step explanation:

i just took the test :)

The volume of the given right square pyramid is 72 cm³. The correct answer would be an option (A).

What is the volume of a right square pyramid?

The formula for the volume of a right square pyramid is:

V = (1/3) B × h

where B is the area of the base and h is the height of the pyramid.

Since the perimeter of the base is 24 cm, and there are four equal sides, each side must be 24/4 = 6 cm.

The area of the square base is:

B = s² = 6² = 36 cm²

The volume of a right square pyramid is:

V = (1/3) B × h

Substituting in the given values, we get:

V = (1/3) × 36 × 6

V = 72 cm³

Therefore, the volume of the pyramid is 72 cm³.

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Help ASAP!!!!! Which is the same as moving the decimal point 3 places to the right in a decimal number?​

Answers

Answer:

In this case, the net effect is that you moved the decimal point three places to the right, which is the same as multiplying 7 by 1,000.Step-by-step explanation:

the correct answer is b

Can you find out a harder question my child is so smart I can’t keep up with her

Answers

Answer:

what they currently going over?

would she like to solve a calculus i am stuck on by any chance

A cup of coffee at 95 degrees Celsius is placed in a room at 25 degrees Celsius. Suppose that the coffee cools at a rate of 2 degrees Celsius per minute when the temperature of the coffee is 70 degrees. The differential equation describing this has the form

Answers

Answer:

See Explanation

Step-by-step explanation:

For an object at temperature T and supposing that the ambient temperature is Ta then we can write the differential equation that typifies the Newton law of cooling as follows;

dT/dt=-k(T-Tₐ)

So

dT/dt = 2 degrees Celsius per minute

T = 70 degrees Celsius

Ta = 25 degrees Celsius

2 = -k(70 - 25)

-k = 2/(70 - 25)

k = - 0.044

Hence we can write;

dT/dt=-(- 0.044)(95-25)

dT/dt= 3 degrees Celsius per minute

Which algebraic expression is a polynomial?
3m^2 n - 2m/n + 1/n
4m^3/n^2 - 3mn^5 + square root of 8
7mn + 3m/2 + 5n/4

Answers

Answer: The answer is 7mn+3m/2+5n/4

7mn + 3m/2 + 5n/4 is the algebraic expression which is a polynomial

What is Polynomial?

Polynomial is an expression consisting of indeterminates and coefficients, that involves only the operations of addition, subtraction, multiplication, and positive-integer powers of variables

A polynomial is an expression with variables and coefficients separated by addition and subtraction.

The following are used when determining if an expression is a polynomial:

i) Variables of a polynomial must not have negative exponent.

ii) Variables of a polynomial must not have fractional exponent.

iii) Dividing by an exponent is not allowed

iv) Exponent radicals are not allowed.

7mn + 3m/2 + 5n/4 is a polynomial because it has variables and seperated by operators addition and subtraction.

Hence, 7mn + 3m/2 + 5n/4 is the algebraic expression which is a polynomial

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A 25,000-gallon swimming pool needs to be completely drained for maintenance purposes.
Your pump empties the pool at a rate of 30 gallons/minute.
Part A: Let h represent the number of hours the pool has been draining. Write an
equation that can be used to determine the number of hours it will take to
completely drain the pool.
Part B: Suppose you start draining the pool Monday, May 7 at 8:00 a.m. Would it be
safe to schedule maintenance to begin on Tuesday, May 8 at noon?

Answers

Answer:

A: 1800h-25,000

B: Yes, he would have time.

Step-by-step explanation:

A:

Lets turn 30 gallons/minute into hours so we can make it easier.

18000h-25000

Then plug in h which is hours. To get your answer

B:

From May 7 at 8:00 a.m. to May 8 at 12 p.m. would be 28 hours.

So we plug in 28 for h and get our answer of 25400 gallons/hour

Find the vertex of the parabola y=2x^2+10x+8​

Answers

Answer:

Step-by-step explanation:

Put the equation into vertex form.

y = 2x² + 10x + 8

= 2(x² + 5x) + 8

= 2(x² + 5x + 2.5²) - 2·2.5² + 8

= 2(x+2.5)² - 4.5

vertex (-2.5, -4.5)

Find the length of side x in simplest radical form with a rational denominator

Answers

Answer is in the file below

tinyurl.com/wpazsebu

the ages of six boys are given as 12 years 3 months, 18 years, 13 years 7 months, 17 years 2 months 15 years and 14 years respectively. what is their average age? ​

Answers

Answer:

15 years (180 months)

Step-by-step explanation:

turn it into months first

147

216

163

206

180

168

add them together, then divide by how many there are

1,080/6=180 months

180/12 =15

On the middle school basketball team, 8 players are 6th graders. Of the players, 40 percent are 6th graders. How many players are on the team?

Answers

It is 20 cause 8/20 is 40 percent of 20

A survey was conducted on a college campus to determine what type of food students want in the dining halls. Out of 1200 students that completed the survey, 45% said that they wanted ice cream available. What is the margin of sampling error for the survey?
a. 0.149
b. 0.029
c. 0.450
d. 0.214

Answers

Answer:

The answer is b. 0.029

Step-by-step explanation:

Margin error for a sample size of 1200 is 2.9%.

The Margin error formula can be represented as:

[tex]z \times \: \sqrt{ \frac{p0(1 - po)}{n} } [/tex]

Where

z = critical value

n = sample size

[tex]p0 = sample \: proportion[/tex]

The sum of the ages of two brothers is 38. in four years ago the age of the elder brother was the square of the younger brother. Find their ages

Answers

Answer:

Elder brother: 25

Younger brother: 5

Step-by-step explanation:

38 - (4+4)= 30

Now trial all square numbers

e.g 2 + 4 = 6 (does not work)

5 + (5x5)= 30

The elder brother is 25 years old and the younger brother is 5 years old.

YOU WILL HAVE BRAINLEST LITERALLY!

A large store has the same number of workers on each of
2 teams to handle
different shifts. They decide to add 10 workers to each team, bringing the
total number of workers to 140. An executive at the company that runs this
chain of stores wants to know how many employees were in each team before
the increase.

Answers

I’m thinking 120 because if they added ten to each that totals up to 20 and 140-20=120

Helppp pleaseeee which one

Answers

Answer:

Coefficient is your answer

Answer:

3 is a coefficient

Step-by-step explanation:

a constant is a number without a variable and that is unchanging

3 has the variable w attached to it and will change with the value of w

hope this helps <3

What is the value of p?
x=1/4y^2

Answers

Answer:

The value of p is 1

Step-by-step explanation:

we know that  

The standard form of the equation of a horizontal parabola is

(y - k)² = 4p(I - h)

where

(h,k) is the vertex

p[tex]\neq[/tex] 0

if p > 0, the parabola opens to the right, and if p < 0, the parabola opens to the left.

In this problem we have

I = [tex]\frac{1}{4}[/tex]y²

Convert to standard form

y² 4I

The vertex is the point (0,0)

4p = 4

P = 1 -----> p > 0, the parabola opens to the right  

3/4 x 1/5, just double checking for a test

Answers

Answer:

Hey mate.....

Step-by-step explanation:

This is ur answer....

3/4 × 1/5 = 3/20

Hope it helps you,

Mark me brainliest plz....

Follow me! :)

Find the slope of a line that passes through the following points (3,2) (5,-3)

A. 2/5
B. 5/8
C. -5/2
B. -5/8

Answers

Answer:

C

Step-by-step explanation:

Use the slope formula:

m = (y2 - y1) / (x2 - x1)

m = (-3 - 2) / (5 - 3)

m = -5/2


All of the following operations are used to solve for x in the equation below except one. Which one is it?
9x-2=4x+8
A. Addition
B. Division
C. Multiplication D.subtraction

Answers

Answer:b

Step-by-step explanation: use pemdas

A rectangular prism measures 8 inches in width, 12 inches in length, and 4 inches in height. What is the surface area of the prism? Enter your answer in the box.

Answers

Answer is in the file below

cutt.us/brainly

A=352in2

A=2(wl+hl+hw)=2·(8·12+4·12+4·8)=352in²

Questions in the attachments

Thank you to whoever answers :)

Answers

Answer:

A.

C.

D.

That should be the answer.

Hopefuly that helped.

find the slope of this graph, I'll give you brainliest
if you dont know please dont answer
(no links please)
thanks in advance​

Answers

Answer:

(-8,1) I think, I've been working on things like this In my classes so I think I'm right. But if I'm not don't get mad please!!

Dinner at chili's came to 27.00. You want to leave a tip of 15%,how much money will you leave for just the tip

Answers

Answer:

4.05 dollars

Step-by-step explanation:

4 dollars and 5 cents. 15 percent of 27 is 4.05

36/81 × 10/50 simplest form​

Answers

Answer:

36/81 x 10/50 is 29/45. Since 29 is a prime number and 45 is not divisible by 29, 29/45 would be the simplest form.

Hope this helps! Brainliest?

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