What type of probability distribution will most likely be used to analyze the number of blue chocolate chips per bag in the following problem? The quality control manager of a candy plant is inspecting a batch of chocolate chip bags. When the production process is in control, the average number of blue chocolate chips per bag is 6.0. The manager is interested in analyzing the probability that any particular bag being inspected has fewer than 5.0 blue chocolate chips.

Answers

Answer 1

binomial distribution

When the production process is in control, the mean number of blue chocolate chips per bag is 6.0. The manager is interested in analyzing the probability that any particular bag being inspected has fewer than 5.0 blue chocolate chips. a) binomial distribution.


Related Questions

If a sample mean is 37,which of the following is most likely the range of possible values that best describes an estimate for the population mean?

Answers

Answer:

(32, 42)

Step-by-step explanation:

Answer:

(32,42)

Step-by-step explanation:


Find the length of the right triangle’s other leg. Round to the nearest tenth.
leg = 10 ft
hypotenuse = 12 ft

Answers

Answer: 17.32

Step-by-step explanation:

Can y’all answer this or not !?

Answers

Answer:

b

Step-by-step explanation:

Answer:

x=417.6

Step-by-step explanation:

Let's solve your equation step-by-step.

0.5x+78.2=287

Step 1: Subtract 78.2 from both sides.

0.5x+78.2−78.2=287−78.2

0.5x=208.8

Step 2: Divide both sides by 0.5.

0.5x   divided by 0.5

208.08 divided by 0.5

Which description matches finding the volume of the solid ?

Answers

Answer:

As shown in the picture, the volume of solid is

V = Rectangular prism - half cylinder

Hope this helps!

:)

Answer:

Last option

Step-by-step explanation:

It's a cuboid/rectangular prism

The curve on top is due to half a cylinder being removed

Assume the average weight of an American adult male is 180 pounds with a standard deviation of 34 pounds. The distribution of weights follows a normal distribution. What is the probability that a man weighs somewhere between 120 and 155 pounds?

Answers

Answer:

Step-by-step explanation:

Find a-score of both

z-score = (x-mean)/SD

for 120

z =( 120- 180)/34 = -1.765

For 155

z = (155-180)/34 = -0.735

The probability to look for using z-score table is;

P(-1.765<z<-0.735) = 0.19239

Need help solving this

Answers

Answer:

c: no solution

Step-by-step explanation:

What does 2 + 2 = ?

Answers

Answer:

4

Step-by-step explanation:

1+1+1+1 or 2 + 2

Apple exist in the world. This particular tree only have 4 perfect apples total. Because you only have one friend, they help you pick 2 out of the 4 apples. Then you pick 2 of the other apple. Without dropping or eating them, he gave both of his apple to you . How many apple do you have without dropping or eating them?

Answer:

4

Step-by-step explanation:

Pls help with these questions I can give brainliest thank you all! 9 a and b

Answers

Answer:

A. 8 1/4 * 11 1/2 * 14=1328 1/4 ft^2

OR

8 1/4 height times 11 1/2 width times 14 in length equals 1328 1/4 feet squared

B. 8 1/4 * 14 1/2 * 14=1674 3/4

OR

8 1/4 height times 11 1/2 width plus 3 so 14 1/2 width times 14 equals 1674 3/4 feet squared

Step-by-step explanation:

Suppose the following set of random numbers is being used to simulate the event of a basketball player making 3 free throws in a row. How should the numbers be arranged?

Answers

Answer:

860 583 785 814 010 122 337 198 621 549 034 076 796 495 978 078 433 330 333 153

Step-by-step explanation:

a p e x :))

Answer: 860 583 785 814 010 122 337 198 621 549 034 076 796 495 978 078 433 330 333 153

Step-by-step explanation:

The estimate obtained from a sample of which of the following sizes would most likely be closest to the actual parameter value of a population?
A.15
B. 75
c. 45
d. 150

Answers

Answer:

d 150

Step-by-step explanation:

Answer:

150

Step-by-step explanation:

A radio station claims that the amount of advertising per hour of broadcast time has an average of 13 minutes and a standard deviation equal to 1.2 minutes. You listen to the radio station for 1​ hour, at a randomly selected​ time, and carefully observe that the amount of advertising time is equal to 17 minutes. Calculate the​ z-score for this amount of advertising time.

Answers

Answer:

[tex]Z = 3.33[/tex]

Step-by-step explanation:

Z-score:

In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the zscore of a measure X is given by:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.

In this question:

[tex]\mu = 13, \sigma = 1.2[/tex]

You listen to the radio station for 1​ hour, at a randomly selected​ time, and carefully observe that the amount of advertising time is equal to 17 minutes. Calculate the​ z-score for this amount of advertising time.

We have to find Z when X = 17. So

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

[tex]Z = \frac{17 - 13}{1.2}[/tex]

[tex]Z = 3.33[/tex]

g(x) = 9x plug in g(9)​

Answers

Answer:

81

Step-by-step explanation:

replace x with 9 so it's 9x9 which is 81

Answer:

g(9) = 81

Step-by-step explanation:

g(x) = 9x

g(9) = 9(9) = 81

Tell the measure of the angles In degrees 1/4

Answers

Answer:

so 1/4 of a circle is 90 degrees 1/4 is equal to 90 over 360 C it's 90 parts of 360. so here we go with this one. this angle is 20 degrees remember that's 90 alright the square one and this little part would be 20 degrees each angle appears wider as the Rays get longer.

Step-by-step explanation:

Let me know if this help's you lol :)

The measure of 1/4 is 90°

Suppose r⃗ (t)=cos(πt)i+sin(πt)j+5tkr→(t)=cos(πt)i+sin(πt)j+5tk represents the position of a particle on a helix, where zz is the height of the particle. (a) What is tt when the particle has height 2020? t=t= (b) What is the velocity of the particle when its height is 2020? v⃗ =v→= (c) When the particle has height 2020, it leaves the helix and moves along the tangent line at the constant velocity found in part (b). Find a vector parametric equation for the position of the particle (in terms of the original parameter tt) as it moves along this tangent line.

Answers

Answer:

a) t = 4

b) v = pi j + 5 k

c) rt = 1i + (pi t) j + (20 +5t )k

Step-by-step explanation:

You have the following vector equation for the position of a particle:

[tex]r(t)=cos(\pi t)\hat{i}+sin(\pi t)\hat{j}+5t\hat{k}[/tex]    (1)

(a) The height of the helix is given by the value of the third component of the position vector r, that is, the z-component.

For a height of 20 you have:

[tex]5t=20\\\\t=\frac{20}{5}=4[/tex]

(b) The velocity of the particle is the derivative, in time, of the vector position:

[tex]v(t)=\frac{dr(t)}{dt}=-\pi sin(\pi t)\hat{i}+\pi cos(\pi t)\hat{j}+5\hat{k}[/tex]    (2)

and for t=4 (height = 20):

[tex]v(t=4)=-\pi sin(\pi (4))\hat{i}+\pi cos(\pi (4))\hat{j}+5\hat{k}\\\\v(t=4)=-0\hat{i}+\pi\hat{j}+5\hat{k}[/tex]

(c) The vector parametric equation of the tangent line is given by:

[tex]r_t(t)=r_o+vt[/tex]      (3)

ro: position of the particle for t=4

[tex]r_o=cos(\pi (4))\hat{i}+sin(\pi (4))\hat{j}+20\hat{k}\\\\r_o=\hat{i}+0\hat{j}+20\hat{k}[/tex]

Then you replace ro and v in the equation (3):

[tex]r_t=(1\hat{i}+20\hat{k})+(\pi \hat{j}+5\hat{k})t\\\\r_t=1\hat{i}+\pi t \hat{j}+(20+5t)\hat{k}[/tex]

Part(a): The value of [tex]t=4[/tex]

Part(b): Required vector [tex]L(t)=(1\widehat{i}+0\widehat{j}+10\widehat{k})+(t-4)(0\widehat{i}+\pi \widehat{j}+5\widehat{k})[/tex]

Given vector equation is,

[tex]r(t)=cos(\pi t)\widehat{i}+sin(\pi t)\widehat{j}+5t\widehat{j}[/tex]

Vector equation:

A vector is an object that has both a magnitude and a direction. Geometrically, we can picture a vector as a directed line segment, whose length is the magnitude of the vector, and with an arrow indicating the direction.

Part(a):

When the particle has a height of 20

[tex]5t=20\\t=4[/tex]

Part(b):

The point on the curve is [tex](cos(4\pi),sin(4\pi),20) =(1,0,20)[/tex]

Differentiating the given equation with respect to [tex]t[/tex].

[tex]r'(t)=- \pi sin(\pi t)\widehat{i}+\pi cos(\pi t)\widehat{j}+5\widehat{k}\\r'(t)=- \pi sin(4\pi t)\widehat{i}+\pi cos(4\pi t)\widehat{j}+5\widehat{k}\\r'(4)=0\widehat{i}+\pi \widehat{j}+5\widehat{k}\\L(t)=r(4)+(t-4)r'(4)\\L(t)=(1\widehat{i}+0\widehat{j}+10\widehat{k})+(t-4)(0\widehat{i}+\pi \widehat{j}+5\widehat{k})[/tex]

Learn more about the topic Vector equation:

https://brainly.com/question/24906745

Which of the following are perfect squares? Check all that apply.

Answers

Answer: 16, 64, and 49

Step-by-step explanation: Perfect squares are products made by squaring or multiplying a whole number by itself twice.

11 is not a perfect square since nothing can

be multiplied by itself to give us 11.

The same is true for 62 and 15.

16 is a perfect square since it's possible to find a whole number that can be multiplied by itself to give us 16.

That number is 4 since 4 × 4 = 16.

64 is also one since 8 can be multiplied by itself twice to give us 64.

49 is also one since 7² or 7 × 7 is 49.

Answer:D,E and F

Step-by-step explanation:

Perfect squares are numbers in which their square roots are whole numbers.

From the options

√16 =4

√64 =8

√49 =7

What are the roots of y = x2 – 3x – 10?
0-3 and -10
-2 and 5
X 2 and -5
3 and 10

Answers

Answer:

x = 5      x = -2

Step-by-step explanation:

y = x^2 – 3x – 10

Set the equation equal to zero

0= x^2 – 3x – 10

Factor

What 2 numbers multiply to -10 and add to -3

-5 *2 = -10

-5+2 = -3

0=(x-5) ( x+2)

Using the zero product property

x-5 = 0    x+2 = 0

x = 5      x = -2

Answer:

-2 and 5

Step-by-step explanation:

trust

arc length of a half of a circle with radius of 9

Answers

Answer:28.26

Step-by-step explanation:

Φ=180 since it's in a straight line

Radius=r=9

π=3.14

Length of arc=Φ/360 x 2 x π x r

Length of arc=180/360 x 2 x 3.14 x 9

Length of arc=0.5 x 2 x 3.14 x 9

Length of arc=28.26

The vertices of ΔDEF have coordinates D(–1, 2), E(3, 3), and F (2, –4).What are the coordinates of the vertices of r(90°, O)(ΔDEF)?

Answers

Answer:

D,E

Step-by-step explanation:

hope I helped


If ItsAkelia (me) had 1M subs and M00dybear had 1M who had more?
(not real sub count but just asking)

Answers

Answer:

If you both have 1M subs then its the same, not one person has more

Given: 5(x + 2) - 3 = 4(x - 1)

Prove: x = -11

Statement Reason
5(x + 2) - 3 = 4(x - 1) given
5x + 10 - 3 = 4x - 4 [?]
5x + 7 = 4x - 4 addition
5x = 4x - 11 subtraction
x = -11 subtraction

Answers

Answer:-11 proved

Step-by-step explanation:

5(x+2)-3=4(x-1)

Open brackets

5x+10-3=4x-4

Collect like terms

5x-4x=-4+3-10

x=-11

12 divided by 9 tenths and hundredths

Answers

1.333 the answer I hope help

State the domain and range for the function. f(x)= -tan x

Answers

Answer:

domain: (-∞, ∞) \ (kπ+π/2 for integers k)range: (-∞, ∞)

Step-by-step explanation:

The tangent function is undefined at odd multiples of π/2. It can take on any value.

The domain is all real numbers except odd multiples of π/2.

The range is all real numbers.

Answer: it’s b

Step-by-step explanation:

edge

Which expression is equivalent to 5(2+7)
A. 2(5+7)
B. 2+7(5)
C. 5(2)+7
D.5(2)+5(7)

Answers

Answer:

D

Step-by-step explanation:

So 5(2+7) equals 45

A. 2(5+7)=24

B. 2+7(5)=37

C. 5(2)+7=17

D.5(2)+5(7)=45

Only D equals 45

Hope I helped :D

Solve for a,b,and/or c
Help solve ASAP!

Answers

Answer:

a=90-67=23°

.................

Mariah is studying the life cycle of the monarch butterfly. She must choose one stage in the cycle to present in science class: egg, caterpillar, chrysalis, or adult. She plans to make her choice randomly using a custom spinner divided into four sections. First, however, she spins the spinner 50 times to see the frequencies it generates.

Stage Times Landed On
egg 10
caterpillar 12
chrysalis 15
adult 13
The relative frequency of landing on egg is .

The relative frequency of landing on caterpillar is .

The relative frequency of landing on chrysalis is .

The relative frequency of landing on adult is .

All the outcomes be considered equally likely.

Answers

The relative frequency of landing on an egg, caterpillar, chrysalis and adults are 0.2, 0.24, 0.3 and 0.26.

What is the relative frequency?

"Relative frequency represents the ratio of the number of times a value of the data occurs in a dataset".

For the given situation,

Number of times egg landed on spin, x1 = 10

Number of times caterpillar landed on spin, x2 = 10

Number of times chrysalis landed on spin, x3 = 15

Number of times adult landed on spin, x4 = 13  

Total number of times, n  = 50

The formula for relative frequency =  [tex]\frac{x}{n}[/tex]

The relative frequency of landing on an egg = [tex]\frac{10}{50}[/tex]

⇒ [tex]0.2[/tex]

The relative frequency of landing on caterpillar = [tex]\frac{12}{50}[/tex]

⇒[tex]0.24[/tex]

The relative frequency of landing on chrysalis  = [tex]\frac{15}{50}[/tex]

⇒ [tex]0.3[/tex]

The relative frequency of landing on adults = [tex]\frac{13}{50}[/tex]

⇒ [tex]0.26[/tex]

Hence we can conclude that the relative frequency of landing on an egg, caterpillar, chrysalis, and adults are 0.2, 0.24, 0.3 and 0.26.

Learn more about relative frequency here

https://brainly.com/question/25290457

#SPJ2

Answer:

The relative frequency of landing on egg is 0.2.The relative frequency of landing on caterpillar is 0.24.The relative frequency of landing on chrysalis is 0.3.The relative frequency of landing on adult is 0.26.All the outcomes can be considered equally likely.

Step-by-step explanation:

Ready to help you all any time

Two forces are acting on an object at the same point. Determine the angle between the two forces. (-2,7) and (3,-1)

Answers

The answer is 56 degree

Answer:

It is 124 degrees.

Step-by-step explanation:

You square each coordinate like this:

sqrt(x^2+y^2 )

You will end up getting sqrt(53 and sqrt(10.

Then find the dot product which is -6+-7=-13.

Then cos^-1(-13/sqrt53*sqrt10)

=124 degrees

Michael has a substantial student debt, but he recently got a new job, which came with a signing bonus. He calculates that with his new

job, he can put aside a fixed amount of money every month to pay off his debt. He also puts the entirety of his bonus towards paying off

his debt. He constructs the expression 36, 700 - (5,000+ 500m)to represent the size of his debt after m months. Which number

describes the value of his signing bonus?

I need help plz

Answers

Answer:

Michael needs to save $63.40, approximately.

Step-by-step explanation:

The given expression is

[tex]36,700 - (5,000 + 500m)=0[/tex]

Where [tex]m[/tex] is months.

We need to solve for the variable.

[tex]36,700-5,000-500m=0\\31,700=500m\\m=\frac{31700}{500} \approx 63.4[/tex]

Therefore, Michael needs to save $63.40, approximately.

Answer:

The number representing describing the value of his signing bonus = 5,000.

Step-by-step explanation:

Total debt = $36,700

He pays $500 every month from his monthly salaries, since m = months.

The $5,000 is the amount of his signing bonus, which puts entirely towards paying off his debt.

It is like the fixed payment.  While the 500m is the variable payment per month.

So, at the end of any number of months, you can easily calculate the remaining debt using the expression, 36,700 - (5,000 + 500m)

a reading teacher recorded the number of pages read in an hour by each of her students. The numbers are shown below: 54,39,29,43,60,44,35,49,51. for this data, which summary statistic is not correct?

Answers

Answer: The answer is 29, because that 29 would be the outlier of the numbers.

Step-by-step explanation:

A class of 64 students was given 320 book how many will each students take home

Answers

Each student will take=320/64

=5

So the answer is 5.

Hope it will be helpful to you...

✧◝(⁰▿⁰)◜✧

A chessboard has 64 squares. George places 1 grain of rice on the first square, 2 grains on the second square, 4 grains on the third square, 8 grains on the fourth square, and so on, until he has placed grains of rice on 10 squares.
Once George has put rice on the 10th square, he has placed a total of _____ grains of rice on the chess board.

Answers

Hey there! I'm happy to help out!

As you can see, our number keeps on doubling. It's like 2×2×2×2.... so on and so forth. Whenever we multiply a number by itself, we can model it as an exponent, so if we had 2², it is two twos being multiplied, and 2×2=4. If it was 2³, it would be 2×2×2=8.

However, we have a one. This signifies a starting point and exponents have our back. Anything to the 0th power is always equal to one! So, this situation would look something like this:

[tex]2^0, 2^1, 2^2, 2^3,2^4,... etc.[/tex]

So, for the second square, we are going to the first power. For the fourth square it's going to the third power. Therefore, the 10th square will be the 9th power!

[tex]2^9=[/tex] 2×2×2×2×2×2×2×2×2= 512

However, we want to find how much he has done in total! So, let's find how much he did on the other squares!

[tex]2^8[/tex]= 256

[tex]2^7[/tex]=128

[tex]2^6[/tex]=64

[tex]2^5[/tex]=32

[tex]2^4[/tex]=16

2³=8

2²=4

[tex]2^1[/tex]=2

[tex]2^0[/tex]=1

Now, we add these all up to find the total grains of rice!

512+256+64+32+16+8+4+2+1=895

Therefore, George has placed a total of 895 grains of rice on the chess board.

I hope that this helps! Have a wonderful day!

Once George has put rice on the 10th square, he has placed a total of 1023 grains of rice on the chessboard.

What is a geometric sequence?

A geometric sequence is a sequence of numbers in which the ratio between consecutive terms is constant.

We have,

On the first square, George placed 1 grain of rice.

On the second square, he placed 2 grains.

On the third square, he placed 4 grains.

On the fourth square, he placed 8 grains.

In general, on the nth square, he places [tex]2^{n-1}[/tex] grains.

So,

On the first 10 squares,

1 + 2 + 4 + 8 + ... + [tex]2^9[/tex]

This is a geometric series with a first term of 1 and a common ratio of 2.

The sum of the first n terms of a geometric series.

[tex]S_n[/tex] =[tex]a(1 - r^n) / (1 - r)[/tex]

where a is the first term, r is the common ratio, and n is the number of terms.

Substituting the values,

[tex]S_{10}[/tex] = 1(1 - 2^10) / (1 - 2)

    = 1(1 - 1024) / (-1)

    = 1023

Therefore,

Once George has put rice on the 10th square, he has placed a total of 1023 grains of rice on the chessboard.

Learn more about geometric sequence here:

https://brainly.com/question/2321576

#SPJ7

Other Questions
4. Why are people concerned about caring for thealiens?The aliens will bring diseaseAB.The aliens will rule over people.People will have to pay for all of the support.People will have to change their world for thealiens. which statement is true of prokaryotes but not eukaryotes A. Some are multicellularB. They have no ribosomesC. They have no water D. All are unicellular What characteristic makes a social group eusocial? if there are 5 apples to every 3 oranges in a bin which graph represents the proportional relationship of the fruit in the bin g Smiley Corporation wholesales repair products to equipment manufacturers. On April 1, 20Y1, Smiley issued $20,000,000 of five-year, 9% bonds at a market (effective) interest rate of 8%, receiving cash of $20,811,010. Interest is payable semiannually on April 1 and October 1. a. Journalize the entry to record the issuance of bonds on April 1, 20Y1. If an amount box does not require an entry, leave it blank. b. Journalize the entry to record the first interest payment on October 1, 20Y1, and amortization of bond premium for six months, using the straight-line method. If an amount box does not require an entry, leave it blank. c. Why was the company able to issue the bonds for $20,811,010 rather than for the face amount of $20,000,000? The market rate of interest is the contract rate of interest. Translate the word phrase into a math expression.15 fewer than the product of 4 and a number.A. (4+x)15B. 154xC. 4x15D. 4x15 Suppose a one year old child is playing with a toy near an electrical outlet. He sticks part of the toy into outlet he gets shoucked. Become frightened and begins to cry. For several days after that experience. He shows fear when his mother gives him the toy and he refuses to play with it. What are USC,UCR,CS,CR Identifying Ways Rocks Change in the Rock Cycle Cycle of a rock. Arrows point from one stage to the next. Stage A, small, brown granules, to Compaction and cementation or Stage C. Arrow labeled Heat and pressure from Stage C to B, larger gray rocks. Arrow labeled Melting from Stage B to Magma. Arrow labeled Cooling from Magma to Igneous Rock. Arrow labeled Melting from Igneous Rock to Magma. Stage D arrows from Igneous Rock to Stage A, from Stage B to A, and from Stage C to A. Using the drop-down menus, label the parts of the rock cycle. A- sediment, sedimentary rock, or metamorphic rockB- sediment, sedimentary rock, or metamorphic rockC- sediment, sedimentary rock or metamorphic rockD- compaction and cementation, heat and pressure, or weathering and erosion According to the text, how have famous actors opinions of Shakespeare contributed to his fame? A condition in which less and less alcohol causes intoxication is called A slot machine has 3 dials each dial has 30 positions one of which is jackpot. To win jackpot all three dials must be in jackpot position. Assuming each play spins the dials and stops each independently and randomly, what are the odds of one play winning the jackpot 1. What does it mean if your relationship with someone has become cold"? How do the events leading up to 1933 and the early years of the Nazi regime illustrate the fragility of democracy and the many threats to its existence? the statemate in the western front began after german failed to quickly defendGreat Britain FranceRussiaItay How would you write and equation for a circle with a radius of 5 , centered at the point (-3,2) Elijah likes the roses in his cousins garden.He decides to take the leaves from his cousins plant and connect them to his plant, which will result in the growth of a new rose plant.What method of plant propagation did Elijah use?A.cuttingB.air layeringC.tip layeringD.mound layeringE.grafting Which phrase best describes the term icon?a bas-relief in Islamic art that illustrates scenes from Muhammad's lifea scroll containing the Hebrew text of a book from the Old Testamenta painting on wood that depicts Christian holy figures or religious eventsa statue that portrays one of the ancient Greek gods of Olympus PLEASE HELP!82Los desafos en PerCompleta. These are the things Diana says about the challenges in Peru. Complete andwrite the sentences.Modelo El chef (medir) mide los ingredientes varias veces.1. Yo (competir)para tener el mejor plato.2. Mis amigos (pedir)ayuda con sus recetas.3. El chef (repetir)la receta.4. Yo (medir)el azcar en una taza. Select the correct text in the passage.Which phrase in this excerpt from James Joyce's "Araby" is a participial phrase?North Richmond Street, being blind, was a quiet street except at the hour when the Christian Brothers' School set the boys free. An uninhabitedhouse of two storeys stood at the blind end, detached from its neighbours in a square ground. The other houses of the street, conscious ofdecent lives within them, gazed at one another with brown Imperturbable faces.The former tenant of our house, a priest, had died in the back drawing-room. Air, musty from having been long enclosed, hung in all the rooms,and the waste room behind the kitchen was littered with old useless papers. Among these I found a few paper-covered books, the pages ofwhich were curled and damp: The Abbot, by Walter Scott, The Devout Communicant and The Memoirs of Vidocq. I liked the last best because itsleaves were yellow. The wild garden behind the house contained a central apple tree and a few straggling bushes under one of which I foundthe late tenant's rusty bicycle-pump. He had been a very charitable priest; in his will he had left all his money to institutions and the furniture ofhis house to his sister. will mark the branliest to first one who answers