Tell whether the triangles are similar.Explain.

Answer:

Mean = 1.82

Variance = 1.365

Step-by-step explanation:

We define X as the random variable that counts the number of the carp fishes that has been caught. Also we assume that all the fishes are equally likely to be caught. In that case we have that X as hypergeometric distribution.

The of the Hypergeometric Distribution and Its variance is given below.

Mean of the distribution = [tex]n*\frac{k}{N}[/tex]

Variance = [tex]\frac{n*k*(N-k)(N-n)}{N^2(N-1)}[/tex]

N= 110

k = 20

n = 10

Upon calculation we get

Mean = [tex]10*\frac{20}{110}[/tex]

          = 1.82

Variance = [tex]\frac{10*20*(110-20)(110-10)}{110*110*(110-1)}[/tex] = 2*90*100/11*11*109 = 1.365

Therefore the mean is 1.82 and variance is 1.365

The mean and the variance of the number of carp are 20/11 and 180/121, respectively

The given parameters are:

Fishes = 110

Carp = 20

The probability of selecting a carp is:

p = 20/110

Simplify

p = 2/11

In a selection of 10 fishes, we have:

n = 10

The mean is:

E(x) = np

This gives

E(x) = 10 * 2/11

E(x) = 20/11

The variance is

Var(x) = E(x) * (1 - p)

So, we have:

Var(x) = 20/11 * (1 - 2/11)

Simplify

Var(x) = 20/11 * 9/11

Evaluate the product

Var(x) = 180/121

Hence, the mean and the variance of the number of carp are 20/11 and 180/121, respectively

Read more about mean and variance at:

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Answer:

0-y=3/4(x-2)

Step-by-step explanation:

Answer:

Simple interest=1138.5

Step-by-step explanation:

Simple interest=23000×(5.4/100)×(11/12)

S.I=23000×0.054×(11/12)

S.I=1138.5

Answer:

1/6

Step-by-step explanation:

Answer:

C. 1

Step-by-step explanation:

Answer:

The first one

Step-by-step explanation: hope this helps!

The way the question is phrased, it sounds like the height stays fixed at 18 in. If L and W denote the raft's length and width, respectively, then its volume V is given by

V = 18 L W

Differentiating both sides with respect to time t gives

dV/dt = (18 in) W dL/dt + (18 in) L dW/dt

We're told that dL/dt  = -1 in/s and dW/dt = -2 in/s, so that at the moment L = 11 in and W = 4 in, the volume is changing at a rate of

dV/dt = (18 in) (4 in) (-1 in/s) + (18 in) (11 in) (-2 in/s)

dV/dt = -468 in³/s

so the raft is losing air at a rate of 468 in³/s. (Note that "losing" captures the negative sign from before.)

Answer:

ok

trough is the y

Crest is W

I put a picture for help

Answer:

The slope is 1/2.

Step-by-step explanation:

Answer:

x = 13, y = 26

The length of the sides of Δ QRS are QR = 104, QS = 468, RS = 76

Step-by-step explanation:

In ΔRQS

∵ M is the mid-point of side RQ

→ That means M divide RQ into 2 equal parts RM and MQ

∴ RM = MQ

∵ RM = 4x

∵ MQ = 52

→ Equate them

∴ 4x = 52

→ Divide both sides by 4 to get x

∴ x = 13

∵ P is the mid-point of side QS

→ That means P divide QS into 2 equal parts QP and PS

∴ QP = PS

∵ QP = 9y

∵ PS = 234

→ Equate them

∴ 9y = 234

→ Divide both sides by 9 to get y

∴ y = 26

→ Find the length of each side

∵ RQ = 52 + 52

∴ RQ = 104

∵ QS = 234 + 234

∴ QS = 468

∵ RS = 38 + 38

∴ RS = 76

∴ The length of the sides of Δ QRS are QR = 104, QS = 468, RS = 76

Note: PS = 234 is wrong because it made the length of the sides QS = 468, which could not be because the sum of any 2 sides of a triangle must be greater than the 3rd side. So check it.

Answer:

D. x = 3

Step-by-step explanation:

We would like to find out for what value of x does f(x) = g(x). This is essentially the same as asking us to find the x-value for which f(x) = k, where k is some number, and g(x) = k, as well.

Looking at the two tables provided, we notice that when x = 3, both f(x) and g(x) equal -2. So, the answer is D.

Answer:

y=1/5x-4

Step-by-step explanation:

So, first we're gonna put this into point slope form, (y-y1)=m(x-x1), then we'll convert it. When you plug the numbers in, you get (y+9)=1/5(x+25)

Then, you simplify!

y= 1/5(x+25)-9

y=1/5x+5-9

y=1/5x-4

Hope this helped!

Answer:

Step-by-step explanation:

2m=460.6

M=230.3

a

0

=

4

a

i

=

a

i

−

1

+

7

XXXX

possibly with the restriction 1<=i<=4 if this is not intended to be a continuous sequence

Explanation:

This is a simple arithmetic sequence with a difference of  

7

between ascending sequence terms.

Answer:

there is only one solution.

Step-by-step explanation:

hope this helps!

Answer:

x int= -4 y int= 1

Step-by-step explanation:

intercepts refer to the place on the each axis where the line passes through

Answer:

p

Step-by-step explanation:

Answer:

It'd be C.

There are 3 erasers shown and 6 pencils and to simplify the given ratio it would be 1:2

So the third representation would be the one that made the most sense.

Answer:

Option 3

Step-by-step explanation:

Ratios can be written as fractions, so 3:6=3/6. That can be simplified to 1/2, 1:2. That mesns for every eraser, there are two pencils. If white circles are erasers and black circles pencils, the correct answer will be the answer with one white circle and two black circle in each group. So the correct answer will be the third one.

Answer:4=1/2x

X=8

Step-by-step explanation:

Answer:

4

Step-by-step explanation:

-3 - (-4) - (-2) + 1

-3 + 4+ 2 +1

1 +2+1

2 + 2

4

is there a rate because im not understanding

Answer:

6+6x1/9= 6.66666666667

Thats the long way and i used mental math and quick math to get the answer :)

HAVE A WONDERFUL DAY

-ary

Answer:

6.666...

Step-by-step explanation:

6 + 6 * 1 / 9

6 + 6 / 9

6 + 2/3

6.666....

Answer:

15

Step-by-step explanation: 20+10+3+30 =30

Answer: Deal one: 5x+10

Deal two: 6x

According to the graph, the percentage of the Simpsons’ annual expenses that is Federal taxes is 24%

A circle graph also known as pie chart has a shape of a circle and each section are represented in percentages or degrees

From the question, we have:

The above means that the percentage of the Simpsons’ annual expenses that is Federal taxes is 24%

Read more about circle graphs at:

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Answer:

10%

Step-by-step explanation:

Answer:

whole life insurance

Step-by-step explanation:

Answer:

Term life insurance and Universal life

Step-by-step explanation:

Answer:35x^3 + 15x^2 + 42xz + 28x + 18z + 12

Step-by-step explanation:

(7x + 3) (5x^2 + 6z + 4)

7 (5^2 + 6 + 4) +3 (5^2 + 6 + 4)

35^3 +42 + 28 + 15^2 + 18 + 12

35^3 + 15x^2 + 42xz + 28x + 18z + 12