urn I contains 1 red chip and 2 white chips; urn II contains 2 red chipsand 1 white chip. One chip is drawn at random from urn I and transferred to urnII. Then one chip is drawn from urn II. Suppose that a red chip is selected from urnII. What is the probability that the chip transferred was white

Answers

Answer 1

Answer:

Following are the answer to this question:

Step-by-step explanation:

In the question first calls the W if the transmitted chip was white so, the W' transmitted the chip is red or R if the red chip is picked by the urn II.  

whenever a red chip is chosen from urn II, then the probability to transmitters the chip in white is:  

[tex]P(\frac{w}{R}) = \frac{P(W\cap R)}{P(R)} \ \ \ \ \ _{Where}\\\\P(R) = P(W\cap R) + P(W'\cap R) \\[/tex]

The probability that only the transmitted chip is white is therefore [tex]P(W) = \frac{2}{3}\\[/tex], since urn, I comprise 3 chips and 2 chips are white.

But if the chip is white so, it is possible that urn II has 4 chips and 2 of them will be red since urn II and 2 are now visible, and it is possible to be: [tex]P(\frac{R}{W}) = \frac{2}{3}[/tex]

[tex]P(W\cap R) = P(W) \times P(\frac{R}{W}) \\[/tex]

                [tex]= \frac{2}{3}\times \frac{2}{4} \\\\= \frac{2}{3}\times \frac{1}{2} \\\\= \frac{2}{3}\times \frac{1}{1} \\\\=\frac{1}{3}\\\\= 0.333[/tex]

Likewise, the chip transmitted is presumably red [tex](P(W')= \frac{1}{3})[/tex]and the chip transferred is a red chip of urn II [tex](P(\frac{R}{W'})= \frac{3}{4}[/tex], and a red chip is likely to be red [tex](\frac{R}{W'})[/tex].  

Finally, [tex]P(W'\cap R) = P(W') \times P(\frac{R}{W'})\\[/tex]

                              [tex]= \frac{1}{3} \times \frac{3}{4} \\\\ = \frac{1}{1} \times \frac{1}{4} \\\\=\frac{1}{4}\\\\= 0.25[/tex]

The estimation of [tex]P(R)[/tex] and [tex]P(\frac{W }{R})[/tex] as:  

[tex]P(R) = 0.3333 + 0.25\\\\ \ \ \ \ \ \ \ \ \ = 0.5833 \\\\ P(\frac{W}{R}) = \frac{0.3333}{0.5833} \\\\\ \ \ \ \ \ \ = 0.5714[/tex]


Related Questions

Perform the indicated operation. 1 3/4 · 7/3? a.3/4 b.41/12 c.121/12 d.23/4

Answers

Answer:

[tex]\huge\boxed{b.\ 4\dfrac{1}{12}}[/tex]

Step-by-step explanation:

[tex]1\dfrac{3}{4}\cdot\dfrac{7}{3}[/tex]

convert the mixed number to the improper fraction:

[tex]1\dfrac{3}{4}=\dfrac{1\cdot4+3}{4}=\dfrac{7}{3}[/tex]

multiply:

[tex]=\dfrac{7}{4}\cdot\dfrac{7}{3}=\dfrac{7\cdot7}{3\cdot4}=\dfrac{49}{12}=\dfrac{48+1}{12}=\dfrac{48}{12}+\dfrac{1}{12}=4\dfrac{1}{12}[/tex]

ayuda porfa se ruego :b

Answers

Answer:

b) 5u.

Step-by-step explanation:

El triangulo es 45-45-90, entonces los dos lados son iguales. Si un lado es 8u, el otro lado tambien es 8u.

Entonces, 8u + x = 13u.

x = 13u - 8u

x = 5u

Espero que esto te ayude!

Please answer this question now fast in two minutes

Answers

Answer:

In the diagram, planes JMN and KLO are parallel and planes JKN and LMP are also parallel.

Step-by-step explanation:

To be parallel in geometric terms means that two planes are on opposite sides of each other and will never intersect or touch. Knowing this, we can go through the choices one by one to see if those planes are parallel.

LMP and JKL are not parallel because they intersect at point L.

JMN and JKL are not parallel because they intersect at point J.

JKN and LMP are parallel because they never intersect or touch.

JMN and KLO are parallel because they never intersect or touch.

So, planes JMN and KLO are parallel and planes JKN and LMP are also parallel.

ok I need help with this cylinder volume thing

ok so the volume is 20litres and the diameter is 13.5 but I need to find the length value. Length value needs to be in metres

Answers

Answer:

h = 0.139725

Step-by-step explanation:

Volume of a Cylinder Formula: V = πr²h

You are given V = 20 and r = 6.75.

20 = π(6.75)²h

20/45.5625π = h

h = 0.139725

I'm not sure if this is correct or not.

Answer:

≈1.4 m

Step-by-step explanation:

V= 20 l= 20 000 cm³

d= 13.5 cm ⇒ r= 13.5 cm / 2= 6.75 cm  (assume it is cm)

V= πr²h

h= V/πr²= 20000/3.14*6.75² ≈ 140 cm= 1.4 m

how far is 5 and a half from negative 1 and 3 fourths

Answers

Answer:

[tex] 7.25 \: units[/tex]

Step-by-step explanation:

[tex]d \bigg(5 \frac{1}{2}, \: \: - 1 \frac{3}{4} \bigg) \\ \\ = d \bigg( \frac{11}{2}, \: \: - \frac{7}{4} \bigg) \\ \\ = d \bigg( \frac{22}{4}, \: \: - \frac{7}{4} \bigg) \\ \\ = \frac{22}{4} - \bigg( - \frac{7}{4} \bigg) \\ \\ = \frac{22}{4} + \frac{7}{4} \\ \\ = \frac{22 + 7}{4} \\ \\ = \frac{29}{4} \\ \\ = 7. 25\: units[/tex]

3/4, 1, 4/3, 16/9,... which of the following are recursive formulas for the nth term of the following geometric sequence?

Answers

Answer:

nth term of geometric sequence = a(n) = [tex](3/4)(4/3)^{n-1}[/tex]

Step-by-step explanation:

nth term of geometric sequence = a(n)

nth term of geometric sequence = a(n) = [tex]ar^{n-1}[/tex]

Where,

a =  first term

r = common ratio

n = number of term

So,

GP: 3/4, 1, 4/3, 16/9

a = 3/4

r = 1 / [3/4] = 4/3

n = n

nth term of geometric sequence = a(n) = [tex]ar^{n-1}[/tex]

nth term of geometric sequence = a(n) = [tex](3/4)(4/3)^{n-1}[/tex]

If the maximum value of f(x) is 20, then what is the maximum value of (2x - 10) if f(x) = -4x^2+
bx + c?

Answers

Answer:

The maximum value of (2·x - 10) is 20

Step-by-step explanation:

Given that the maximum value of f(x) = 20

f(x) = -4·x² + bx + c

We are required to find the maximum value of (2·x - 10)

f'(x) = -8·x + b = 0

x = b/8

f''(x) = -8, therefore, f'(x) is the maximum point

20 = -4·x² +8·x²  + c

20 = -4·(b/8)² + b×(b/8) + c

20 = -b²/16 + b²/8 + c

20 = b²/16 + c

f(2·x - 10) = -4·(2·x - 10)² + b·(2·x - 10) + c

f(2·x - 10) = b·(2·x - 10) + c - (16·x²-160·x +400

Differentiating to find the maximum gives;

f'(2·x - 10) = d(b·(2·x - 10) + c - (16·x²-160·x +400)/dx = 2·b -32·x +160 = 0

x = (2·b +160)/32 = 0.0625·b +5

At the maximum point, therefore, we have;

b·(2·(0.0625·b +5) - 10) + c - (16·(0.0625·b +5)²-160·(0.0625·b +5) +400

At the max value of f(2·x - 10) = b²/16 + c

Since b²/16 + c = 20, we have the maximum value of (2·x - 10) = 20.

******WHO ANSWERS WILL BE THE BRAINLIEST********


In circle D, which is a radius to the circle?

* FE

AB

DC

GBE

Answers

Answer:

D to C

Step-by-step explanation:

The radius is half the diameter or the center point to the edge (circumference)

Answer:

DC

Step-by-step explanation:

Can someone help I am struggling with the question on the photo?

Answers

Answer:

in the last one 3+4+4×15=67

in the first if we see there are three shapes if we divide 45/3 so the value of each shape is 15

in the second there are two bananas and one shape as we know the value of shape so 23-15=8 as there are two bananas so the value of each banana is 4

in the third there are two clocks and one banana as we know the value of banana so 10-4=6 as there are two clocks so the value of each clock is 3

from above

shape=15 banana=4 and clock =3 pitting in the equation gives us the value of 67

Step-by-step explanation:

i hope this will help you :)

halppppppp meeeaaaaaaaaaaaa

Answers

Answer:

The x-intercept is the location on the graph when the output is 0.

f(x) > 0 is intervals of the domain where the graph is above the x-axis.

y-intercept is the location on the graph when the input is 0.

f(x) < 0 is intervals of the domain where the graph is below the x-axis.

Look at the proportion. A motorcycle is on sale for $1,800.00. The store is currently offering a 15% discount off the sale price. What is the dollar amount of the discount? A) $15.00 B) $27.00 C) $150.00 D) $270.00

Answers

Answer:

D) $270.00

Step-by-step explanation:

15% of 1800 is 270 which is exactly what the dollar amount of the discount would be

Answer:

D.) $270.00

Step-by-step explanation:

I got this by first turning 15% into its decimal form:

[tex]15%[/tex]% [tex]= .15[/tex]

Once I did this I multiplied the decimal form by the price of the motorcycle.

[tex]1,800[/tex] × ·[tex]15[/tex] = [tex]270[/tex]

Jo paints some tennis balls and puts them in a bag. She picks a ball at random from the bag and replaces it. She repeats this 60 times, and gets a ball not painted 50 times. Find the experimental probability of getting a painted ball from Jo's bag.

Answers

Answer:

1/6

Step-by-step explanation:

An experimental probability is the number of times an event occurred when actually attempted.

So, if Jo does the experiment 60 times and receives 50 unpainted balls, then calculate how many painted balls she got:

60-50 = 10.

So, the probability of picking a painted ball = 10/60 = 1/6

Hope this helps

make m
the subject of
the formula
r=5m²-n

Answers

Answer:

√(r+n)/5=m

Step-by-step explanation:

r=5m²-n

adding n on both sides

r+n=5m²-n+n

r+n/5=m²

taking square root on both sides

√(r+n)/5=m

PLEASE help me with this question!!!!!!

Answers

Answer:

270[tex]\sqrt{3}[/tex] cm³

Step-by-step explanation:

A regular hexagon can be cut into 6 equilateral triangles.

The area (A) of an equilateral triangle can be calculated as

A = [tex]\frac{s^2\sqrt{3} }{4}[/tex] ← where s is the side length, here s = 6

A = [tex]\frac{6^2\sqrt{3} }{4}[/tex] = 9[tex]\sqrt{3}[/tex] cm² ← multiply by 6

area of base = 6 × 9[tex]\sqrt{3}[/tex] = 54[tex]\sqrt{3}[/tex] cm²

The volume (V) of the prism is calculated as

V = area of base × height = 54[tex]\sqrt{3}[/tex] × 5 = 270[tex]\sqrt{3}[/tex] cm³

Sheila plans to row across the lake from point A to point B as shown below.

To determine how far she will have to row, she has chosen a point Cand

calculated the labeled data. How many miles will she have to row? Round

your answer to two decimal places.

12.3 miles

15.6 miles

66.7°

Answers

Answer: 15.58 miles

Step-by-step explanation:

Given two sides and an included angle, segment AB can be calculated using the cosine rule :

Given a = 15.6 miles, b = 12.3 miles and C=α=66.7°

To find c:

c= √(a^2+b^2-2abcosα

c = √ 15.6^2 + 12.3^2 -(2 × 15.6 × 12.3)cos66.7°

c = √243.36 + 151.29 - 151.79454

c = √242.85545

c = 15.583820

c = 15.58 miles

Answer:

13.56

Step-by-step explanation:

hope that helps

The question is in the image below.

Answers

The fourth:

The second equation in system 2 is the difference of the equations in system 1. The first equation in system 2 is the first equation in system 1.

Ax + By - (Lx + My) = Ax + By - Lx - My = (A - L)x + (B - M)y

Answer:

The answer is __

because of __

Step-by-step explanation:

3 x : 10 = 5 : 2 Calculate the value of x

Answers

Answer:

so the value of x is 8.3333≈8.3

Step-by-step explanation:

3x:10=5:2

[tex]\frac{3x}{10}=\frac{5}{2}[/tex]

by cross-multiplication

3x×2=5×10

6x=50

6x/6=50/6

x=8.33

i hope this will help you :)

the HCf of 30 and40



Answers

Answer:

The HCF of 30 and 40 is 10

Answer:

10

Step-by-step explanation:

Well to find the GCF of HCF which are the same thing we have to make of list of factors of 30 and 40.

Look at the image below

after making the list find the greatest common factor which is 10.

express 1120 product of powers of its prime factors

Answers

Answer:

5x2x2x2x2x7x7

Step-by-step explanation:

First list all of the prime factors of 1120. You can do this by drawing a factor tree.

The results are:

5,2,2,2,2,7,7

To make 1120 a product of its prime factors, we just have to write it in the form:

5x2x2x2x2x7x7

Hope this helps

PLEASE ANSWER, HURRRRRYYY!!!

Answers

Answer:

D

Step-by-step explanation:

Recall that:

[tex]\displaystyle \cos\theta = \frac{1}{\sec\theta}[/tex]

Since we are given that secθ = -7.3, then by definition:

[tex]\displaystyle \cos\theta = \frac{1}{(-7.3)}\approx -0.14[/tex]

Next, recall that:

[tex]\displaystyle \sin\left (\frac{\pi}{2} - \theta \right) = \cos\theta[/tex]

This is the co-function identity.

And since sine is an odd function:

[tex]\sin u = -\sin (-u)[/tex]

In other words:

[tex]\displaystyle \sin\left (\frac{\pi}{2} - \theta \right) = -\sin\left(\theta - \frac{\pi}{2}\right)= \cos\theta[/tex]

Therefore:

[tex]\displaystyle \sin\left(\theta - \frac{\pi}{2}\right) = -\cos\theta = -(-0.14) = 0.14[/tex]

Hence, our answer is D.

The mean of 5 numbers is 50 and the mean of 4 of this numbers is 45. What is the fifth number

Answers

Answer:

the fifth number is 70

Step-by-step explanation:

mean (average) of first 5 numbers =50 , Then sum of this 5 numbers = 50*5 =250.

The mean  of 4 numbers = 45 . Sum 4 numbers = 45*4 = 180

the fifth number is 250-180=70

(180 +70)/5=50 which is the mean

What is the average rate of change for this exponential function for the
interval from x=2 to x= 4?
a.-6.
b.6
c.12
d.-12​

Answers

Answer:

The correct answer is:

b. 6

Step-by-step explanation:

We are given the graph of an exponential function.

We have to find the average rate of change for this exponential function from x = 2 to x = 4.

First of all, let us plot the point on the graph on the points x = 2 and x = 4.

Please refer to the attached diagram.

We can easily find that the value of y at x = 2 is 4.

the value of y at x = 4 is 16.

[tex]\therefore[/tex] the coordinates are (2, 4) and (4, 16).

Let the points be A(2, 4) and B(4, 16)

Now, let us find the average rate of change for exponential function i.e. change in value of y divided by change in value of x from x = 2 to x = 4:

Formula:

[tex]\text{Average rate of change = } \dfrac{\text{Change in y coordinate}}{\text{Change in x coordinate}}[/tex]

[tex]\Rightarrow \dfrac{16-4}{4-2}\\\Rightarrow \dfrac{12}{2}\\\Rightarrow 6[/tex]

So, correct answer is option b. 6

What is the equation of the following line written in slope-intercept form?
(-5, -1)
Oy=3/2x-13/3
Oy=-2/3x-13/3
Oy=2/3x-13/3​

Answers

Answer:

Option (2)

Step-by-step explanation:

Let the equation of the line is,

y - y' = m(x - x')

where (x', y') is a point lying on the given line.

And m = slope of the line = [tex]\frac{y_2-y_1}{x_2-x_1}[/tex]

Line given in the graph passes through two points (-5, -1) and (-2, -3).

Slope of the line 'm' = [tex]\frac{-3+1}{-2+5}[/tex]

                                 = [tex]-\frac{2}{3}[/tex]

Therefore, equation of the line passing through(-5, -1) and slope of the line = [tex]-\frac{2}{3}[/tex] will be,

y - (-1) = [tex]-\frac{2}{3}[x-(-5)][/tex]

[tex]y+1=-\frac{2}{3}(x+5)[/tex]

[tex]y=-\frac{2}{3}x-\frac{10}{3}-1[/tex]

[tex]y=-\frac{2}{3}x-\frac{13}{3}[/tex]

Option (2) will be the answer.

Reduce to simplest form. -5/12 - (-9/3)

Answers

Answer:

31/12

Step-by-step explanation:

-5/12 - (-9/3)

Distribute the negative sign to the brackets.

-5/12 + 9/3

Make denominators equal and add.

-5/12 + 36/12

= 31/12

Answer:

31/12

Step-by-step explanation:

Find the least common denominator, which is 12, then combine

You have to add the fractions because two negative signs equals to positive

-5/12 + 36/12

-5+36=31

Therefore your answer is 31/12

Hope this helps please mark brainliest!

A square has a side length x and a circle has a radius (x-1). At what value of x will the two figures have the same area?

a. 1.66
b. 2.29
c. 0.5
d. 1.25

Answers

Answer:

B

Step-by-step explanation:

The area of the square can be calculated using S^2 = x^2

The area of the circle is pi * r^2

= 22/7 * (x-1)^2

= 22(x-1)^2/7

So we need the value of x, that will make;

x^2 = 22(x-1)^2/7

In this kind of scenario, since we have options, it is best to test values instead of going through long calculations

Let’s try 2.29

So;

2.29^2 = 22/7(2.29-1)^2

5.2441 = 5.23

So close , but let’s see if any other value will

give us a closer value

Let’s work with 1.66

1.66^2 = 22/7(1.66-1)^2

2.7556 = 1.369

This is far from what we need

Let’s try 0.5

0.5^2 = 22/7(0.5-1)^2

Thus gives a negative answer on the right hand side, so no need trying

And lastly 1.25

1.25^2 = 22/7(1.25-1)^2

1.5625 = 0.1946

So the first test still gives the most probable answer to a decimal place accuracy

Answer:

b. 2.29

Step-by-step explanation:

the answer above is correct please give them the brainiest  

There are 4562 boys in a school. The number of girls is 689 less than the number of
boys. Find the total strength of the school. Pls answer fast​

Answers

Answer: 8435

Step-by-step explanation:

No. of girls = 4562 - 689 = 3873

Total strength = 4562 + 3873

= 8435

Answer:

8435

Step-by-step explanation:

Boys= 4562

Girls= 4562-689= 3873

Total= 4562+3873= 8435

What is the value for y? Enter your answer in the box. y = An isosceles triangle A B C with horizontal base A B and vertex C is below the base. Side A C and C B are labeled with single tick mark. All the three angles are labeled. Base angles C A B is labeled as 34 degrees and angle C B A is labeled as left parenthesis x minus 5 right parenthesis degrees. The angle A C B is labeled as 4y degrees.

Answers

Answer:

28.

Step-by-step explanation:

I just did the question and I got it right. The answer above is right. The image below is where I did the question and has the picture attached next to it too.

*And I accidentally clicked the one star option, that's why it has such a low score.

An isosceles triangle is a triangle where two sides are equal and the angles opposite to the sides are also equal.

The value of y is 28.

What is a triangle?

It is a two-dimensional figure which has three sides and the sum of the three angles is equal to 180 degrees.

We have,

An isosceles triangle is a triangle where two sides are equal and the angles opposite to the sides are also equal.

m∠CAB = 34

m∠CBA = x - 5

m∠ACB = 4y

Triangle ABC is an isosceles triangle.

AC and BC are sides are equal.

This means,

m∠CAB = m∠CBA

34 = x - 5

34 + 5 = x

x = 39

Now,

The sum of the angles in a triangle is 180 degrees.

This means,

34 + (x -5) + 4y = 180

34 + (39 - 5) + 4y = 180

34 + 34 + 4y = 180

68 + 4y = 180

4y = 180 - 68

y = 112 / 4

y = 28

We can cross-check.

34 + 34 + 4 x 28 = 180

34 + 34 + 112 = 180

180 = 180

Thus,

The value of y is 28.

Learn more about triangles here:

https://brainly.com/question/25950519

#SPJ2

factor y=2x^2+10x+12​

Answers

Answer:

y=2(x+2)(x+3)

Step-by-step explanation:

First, we need to factor the right side:

y=2(x^2+5x+6)

Now, we can have an incomplete equation like this:

y=2(x+_)(x+_)

In the blanks, we need to fill out numbers that add to be 5 and multiply to be 6. What are factors of 6? 6 and 1, 2 and 3. Do 6 and 1 add to be 5? No. Do 2 and 3 add to be 5? Yes!

So, our factored form is

y=2(x+2)(x+3)

Factorise the quadratic equation this way :)

Which is the graph of f(x)=sqrt x?

Answers

Answer:

B

Step-by-step explanation:

a parabola would be x2 since it is square rooted it would be a curved so the answer would be the second graph

Which equations represent a line that passes through the points given in the table? Check all that apply. y – 2 = –6(x + 10) y – 2 = –(x + 10) y – 1 = –(x + 4) y = –6x – 58 y = –x + y = –x + 5

Answers

Answer: b, c, and e

Step-by-step explanation:

I hope I helped

The standard form of the equation of straight line is given by

y - 1 = -1/6(x + 4)

What is the general equation of a Straight line?

The general equation of a straight line is -

[y] = [m]x + [c]

where -

[m] is slope of line which tells the unit rate of change of [y] with respect to [x].

[c] is the y - intercept i.e. the point where the graph cuts the [y] axis.

The equation of a straight line can be also written as -

Ax + By + C = 0

By = - Ax - C

y = (- A/B)x - (C/A)

We have a table as given in the image attached at the end of answer.

The slope of the line will be -

m = (y₂ - y₁)/(x₂ - x₁)

m = (1 - 2)/(- 4 + 10)

m = - 1/6

The standard form of the equation of straight line is given by -

y - y₂ = m(x - x₂)

y - 1 = -1/6(x + 4)

Therefore, the standard form of the equation of straight line is given by

y - 1 = -1/6(x + 4)

To solve more questions on straight lines, visit the link below-

brainly.com/question/29030795

#SPJ2

[Refer to the image attached for complete question]

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Detergent A uses exactly 1 fluid ounce per load less than detergent B. Detergent A uses less than 1 fluid ounce per load more than detergent B. Detergent A uses less than 1 fluid ounce per load less than detergent B. What are the features of modern age? Explain in 200 words The part of an industry's value chain that is most important to a company and the point where its greatest expertise and capabilities lie is called the company's R&D intensity. center of gravity. economy of scope. functional crossroads. dynamic equilibrium. Mention the similarities and differences between book painting and scroll painting.I need the answers in points. Help Find the lateral area of this pyramid whose base is an equilateral triangle. Its slant height is 14 ft and the length of each side of the triangular base is 6 ft. [? ] ft Explain the purpose of hot gravity filtration. Why is it good to use the stemless funnel for this experiment Questions in image below Jessica's friend has decided to quit smoking. What should Jessica do to encourage her friend? What is the best definition of detoxification? I COULD REALLY USE THE HELP Complete the following problems. Show all your work. Round all side lengths to the nearest tenth andall degrees to the nearest degree. When applicable, leave your answers in radical form.1. Name the following sides of the triangle. Graph the equation by plotting three points -3y=x-6 3x square + 4 x minus 15 is equals to zero can someone simplify (3x)^4 Fill in the blanks with appropriate wods.1. A process called__________ helps to propel first the bolus and then chyme forward through the esophagus, stomach, and small intestine.2. Nutrients are absorbed through the lining of the small intestine via a variety of mechanisms. Most nutrients require______________ , where a specific carrier protein is utilized, but no energy is required.3. Some smaller molecules can cross via_____________ , Like with facilitated diffusion, no energy is required because the concentration of a nutrient is higher inside the GI tract than in the enterocyte. Unlike with facilitated diffusion, however, no ____________ is needed.4. Nutrients like glucose and amino acids are absorbed through ______________ , which requires both a carrier protein and energy in the form of ATP.5. A fourth method is called _____________ , which involves a vesicle that forms from the enterocyte's cell membrane, engulfing the nutrient and then drawing the nutrient into the cell.6. Once absorbed, water-soluble nutrients like carbohydrates and amino acids enter capillaries and travel to the liver via the ___________ .7. Fat-soluble nutrients initially travel via the _____________ before entering the bloodstream.8. Most water is absorbed in the _____________ , and solid waste is then eliminated.a. Large intestine b. Peristalsis c. Passive diffusion d. Carrier protein e. Active transport f. Facilitated diffusion g. Endocytosis h. Lymphatic system i. Hepatic portal vein pwease jelp, I triedFour circles of equal radii are centered at the four vertices of a square. These 4 circles touch a fifth circle ofequal radius placed inside this square. The ratio of the shaded area of the circles to the un-shaded area of thecircles is....A) 5:2B) 2:3 3:2D) 2:5 Choose the incorrect statement regarding how the nervous system coordinates homeostasis in the body. Multiple Choice Through sense organs and simple sensory nerve endings, the nervous system receives information about changes in the body and the external environment and transmits coded messages to the spinal cord and brain. The spinal cord and brain process information without regard to past experiences, and determine what response, if any, is appropriate to the circumstances. You are interested in purchasing a new car. One of the many points you wish to consider is the resale value of the car after 5 years. Since you are particularly interested in a certain foreign sedan, you decide to estimate the resale value of this car with a 95% confidence interval. You manage to obtain data on 17 recently resold 5-year-old foreign sedans of the same model. These 17 cars were resold at an average price of $ 12 comma 100 with a standard deviation of $ 800. What is the 95% confidence interval for the true mean resale value of a 5-year-old car of this model? A farmer plans to install solar collection panels to provide winter heating for the livestock. Themost efficient panel angle for winter heating in the farm's region is 60 relative to ground level. Ifan individual panel is 67 inches (in) long and installed on the ground according to theseinstructions, what is the height, in in, of the upper edge above the ground?