4. Below are histograms displaying the values taken by three sample statistics in
several hundred samples from the same population. Each histogram has the
same scale and the true value of the population parameter is marked by an
arrow on each histogram. Which statistic is the best estimator of the parameter?

The state space for the Markov chain {Xn} is {0, 1, 2}. At any time, Xn can only be 0, 1, or 2, depending on how many red balls are in the urn.

The transition probabilities for the Markov chain are as follows:

If Xn = 0, the next state Xn+1 can only be 1, with a probability of 1.0.

If Xn = 1, the next state Xn+1 can either be 0 or 2, with a probability of 0.5 each.

If Xn = 2, the next state Xn+1 can only be 1, with a probability of 1.0.

So, the transition probabilities can be represented in a transition matrix as follows:

P = [  [0, 1, 0],

 [0.5, 0, 0.5],

 [0, 1, 0]

]

This transition matrix represents the probabilities that the Markov chain will transition from one state to another in one step.

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Answer:

a right-angle triangle sum up to 180°

Let ? be x

This implies that,

x+45°+88°=180°

x+133°=180°

x=180°-133°

x=47°

The equivalent expression to 0 equals 2 x squared plus 8 x minus 24 when completing the square is x = 2 or x = -6

0 = 2x² + 8x - 24

divide through by 2

x² + 4x - 12

x² + 4x = 12

x² + 4x + (4/2)² = 12 + (4/2)²

x² + 4x + 16/4 = 12 + 16/4

x² + 4x + 4 = 12 + 4

x² + 4x + 4 = 16

(x + 2)² = 16

Find the square root of both sides

(x + 2) = ±√16

x + 2 = ± 4

x + 2 = + 4 or x + 2 = -4

x = 4 - 2 or x = -4 - 2

x = 2 or x = -6

Therefore, x = 2 or x = -6 is equivalent to 0 = 2x² + 8x - 24 when solved using completing the square method.

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Answer:

Step-by-step explanation:

sin28=0,27

cos28=0.88

so b=0.88c

and a =0.27c and from here is easy

Answer: p=50 h=2

Step-by-step explanation:

so its 50 x 2=100 is the answer then u add 3

The total number of different signals consisting of flags is 216

Given data ,

The number of different signals consisting of 9 flags that can be made using 3 white flags, 3 red flags, and 3 blue flags can be calculated using combinatorial principles.

There are 3 choices for the top flag (white, red, or blue), 2 choices for the second flag (since we've already used one color for the top flag), and 1 choice for the third flag.

Similarly, there are 3 choices for the fourth flag, 2 choices for the fifth flag, and 1 choice for the sixth flag. Finally, there are 3 choices for the seventh flag, 2 choices for the eighth flag, and 1 choice for the ninth flag.

Using the multiplication principle, we can multiply the number of choices at each step to get the total number of different signals:

3 × 2 × 1 × 3 × 2 × 1 × 3 × 2 × 1 = 3! × 3! × 3!

where "!" represents the factorial operation, which is the product of all positive integers up to a given number.

So, the total number of different signals consisting of 9 flags that can be made using 3 white flags, 3 red flags, and 3 blue flags is:

3! × 3! × 3! = 6 × 6 × 6 = 216

Hence , the number of signals is 216

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The constant differences between the consecutive terms are 2 (a); 2 (b), -3 (c), 7 (d), 1(e), and 6(f).

In math, the constant difference can be defined as the number that defines the pattern of a sequence of numbers. This means that number that should be added or subtracted to continue with the sequence.

Due to this, to determine the constant difference it is important to observe the pattern and find out the number that should be added. For example, if the sequence is 2, 4, 6, 8, there is a difference of 2 between each of the numbers and this is the constant difference.

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The probability that the second is a club, given that the first is not a club is  0.1911

According to the question,

We have a ordinary deck

An ordinary deck contain 52 cards

Number of club an ordinary have = 13

Let the first event of not getting a club at first draw be "A"

and "B" for getting a club at second draw

P( not getting a club) = P(A) = 1 - P(getting a club)

=> 1 - 13/52

=> 39/52

Now , We are drawing card without replacement

Number of cards we have after first draw = 51

P(getting a club) = P(B) = 13 / 51

The probability that the second is a club, given that the first is not a club

P(A).P(A)=> 39/52 . 13/51

=> 507/2652

=> 0.1911

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Answer:

a)  \(t_{0.035},11=\pm2.201\)

b)  \(t=-2.963\)

c)  \(Reject\ H_0\ when\ \alpha=0.05\)

d)   \(t<t_{\alpha/2},d_t\)

   \(-2.963<2.201\)

Step-by-step explanation:

From the question we are told that:

Sample size \(n=12\)

Mean \(\=x=42.5\)

Standard deviation \(\sigma=3.8\)

Population mean \(\mu=45.75\)

Significance \(\alpha=0.05\)

Generally the hypothesis given by

\(H_0;\mu=45.75\\H_1:\neq =45.75\)

Generally the equation for test statistics is mathematically given by

\(t=\frac{\=x-\mu}{\sigma/\sqrt{n} }\)

\(t=\frac{42.5-45.75}{3.8/\sqrt{12} }\)

\(t=-2.963\)

Generally the Critical value is mathematically given by

\(t_{\alpha/2},d_t\)

\(\alpha=0.05 \\\alpha/2=0.025\\d_t=n-1=11\)

\(t_{0.035},11\)

From table

\(t_{0.035},11=\pm2.201\)

Therefore

\(t<t_{\alpha/2},d_t\)

\(-2.963<2.201\)

\(Reject\ H_0\ when\ \alpha=0.05\)

A sample space is a set of all possible outcomes of an experiment. In this problem, the sample space is given as  \(S = {1, 2, 3, 4, 5, 6, 7, 8}\). the solution is E intersection (F union G^c) \(= {1, 2, 4}.\)

To solve this problem, we first need to understand what each of the events E, F, and G represents.

Event E represents the outcomes where the number rolled on a six-sided die is one of { \(1, 2, 3, 4}\)  .

Event F represents the outcomes where the number rolled on a six-sided die is one of  \({2, 4, 6, 8}\) .

Event G represents the outcomes where the number rolled on a six-sided die is one of   \({3, 4, 6, 7}.\)

Now, let's break down the given expression E ∩ (F ∪ G^c):

G^c represents the complement of event G, i.e., the outcomes where the number rolled on a six-sided die is not in G. So G^c = {1, 2, 5, 8}.

F ∪ G^c represents the union of events F and G^c, i.e., the outcomes where the number rolled on a six-sided die is in F or in G^c or both. So F ∪ G^c \(= {1, 2, 4, 5, 6, 8}\)  .

E ∩ (F ∪ G^c) represents the intersection of event E and (F ∪ G^c), i.e., the outcomes where the number rolled on a six-sided die is in both E and (F ∪ G^c). So E ∩ (F ∪ G^c) = {1, 2, 4}.

Therefore, the solution is E intersection (F union G^c) \(= {1, 2, 4}.\)

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For the given function the value of limits are

\(\lim _{x\to 0^-}\left(f\left(x\right)\right)\) is 5

\(\lim _{x\to 0^+}\left(f\left(x\right)\right)\) is 0

\(\lim _{x\to 0}\left x^2+5\)is 5

The given function is f(x)= x²+5, when x≤0

f(x)=2x when x>0

\(\lim _{x\to 0^-}\left(f\left(x\right)\right)\)

Which is \(\lim _{x\to 0^-}\left x^2+5\)

The given limit is a left hand limit as there is minus in the limits

When we apply x as 0 we get the value 5

Now \(\lim _{x\to 0^+}\left(f\left(x\right)\right)\)

So \(\lim _{x\to 0^+}\left 2x\)

The given limit is a right hand limit as there is positive in the limits

When we apply x as 0 we get 0

Now \(\lim _{x\to 0}\left(f\left(x\right)\right)\)

Which is \(\lim _{x\to 0}\left x^2+5\)

We get 5

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The predicted number of rabbits at the end of 2015 is 125 rabbits.

The year in which the the number of rabbits are likely to fall below 85 is 2019.

Given that:-

Number of rabbits in 2009 = 150.

Percentage of decrease in the population of rabbits = 6 %

We have to find the predicted number of rabbits at the end of 2015 and the year in which the the number of rabbits are likely to fall below 85.

We can use the formula or compound interest to find the predicted number of rabbits.

Predicted number of rabbits in 2015 =

\(\\150(1 - 6/100)^6=150(1 - 3/50)^6 \\\\= 150(47/50)^3=150(0.94)^3\\\\\)

150*0.830584 = 124.5876 ≈ 125 rabbits.

Let the number of years in which the the number of rabbits are likely to fall below 85 be n.

Hence, we can write,

\(150(0.94)^n < 85\\\\(0.94)^n < 85/150=17/30\\\\(0.94)^n < 0.5667\)

Hence, we can get n as 10 years after 2009.

Hence, the population of rabbit is likely to fall below 85 in 2019.

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Answer:

Sorry

Step-by-step explanation:

Answer:

12

Step-by-step explanation:

basically click the power off button and play on your

Answer:

An airplane cruises 1 kilometer in 1/12 of a minute. What is its cruising speed?200

Answer:

\(\frac{8}{30}\)

Step-by-step explanation:

Card(AUBUC)= Card(A)+card(B)+card(C)-Card (A∩B) -Card( A∩C)-Card(B∩C) +Card(A∩B∩C)

= 21 + 14 + 15 - 10 - 8 - 4 + 2

= 30

Then

Card(AUBUC) = 30

Card( A∩C) = 2 + 6 = 8

\(p\left( A\cap C\right) =\frac{card\left( A\cap C \right) }{card\left( A\cup B\cup C \right) }\)

               \(=\frac{8}{30}\)

In the quadrilateral ABCD and LBNM the corresponding angles and line segments are as follow,

∠A = ∠L, ∠D =∠M , ∠C = ∠N , and

AB = LB , CD = NM ,  DA = ML.

Quadrilateral ABCD rotates 180 degrees around point B,

New quadrilateral formed named LBMN

The corresponding angle after rotation of 180 degrees around B is equals to,

B remain at same position.

A rotates and point L take the position of A.

D rotates and point M take the position of D.

C rotates and point N take the position of C.

Corresponding angle to A is angle L.

Corresponding angle to D is angle M.

Corresponding angle to C is angle N.

Similarly corresponding segments are of ABCD and LBNM are

Line segment AB corresponds to line segment LB.

Line segment CD corresponds to line segment NM

Line segment DA corresponds to line segment ML.

Therefore, in the quadrilateral the corresponding angles and line segments are ∠A = ∠L, ∠D =∠M , ∠C = ∠N , AB = LB , CD = NM , and DA = ML.

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Answer:

8

Step-by-step explanation:

16-12=4 and 4 is 1/3 of 12. So we can use ratio and say that since we are doing 1/3 of 12, we have to do it to 6. So 1/3 of 6=2. Finally, we add 6+2=8.

Answer:

\(g(x) = 3.5^{x} -2\)

Step-by-step explanation:

This is the answer because, the y-intercept has decreased by -2. After you graph the original equation, you will find that the intercept is 1. So if the new one has a y-interceptn of -1, it decreased by 2. So, it is \(g(x) = 3.5^{x} -2\)

Answer:

140 votes

Step-by-step explanation:

Answer:

140

Step-by-step explanation:

7/8=87.5% x 160= 140

Answer:

Step-by-step explanationuuh soo I don’t understand this app:

Answer:

69.99

Step-by-step explanation:

Answer:

23.80

Step-by-step explanation:

Answer:

A 9 ⋅ 1019

B 7.8 ⋅ 106

C 1.45 ⋅ 10−7

D 0.33 ⋅ 10−15

Step-by-step explanation:

A 9 ⋅ 1019

B 7.8 ⋅ 106

C 1.45 ⋅ 10−7

D 0.33 ⋅ 10−15

Answer:

10

Step-by-step explanation:

10

Answer:79

Step-by-step explanation:

Step-by-step explanation:

the first option is the correct answer.

Answer:

It is A

Step-by-step explanation:

Hope this helped have an amazing day/month/year!

Answer:

a) since 27% below the target pressure value =target pressure

Step-by-step explanation:

Answer: x= -1

Step-by-step explanation: 6x = 2x-4 4x= -4 and x=-1

From the given statement the unknown number is found to be - 1

The given statements can written in algebraic form as follows;

the unknown number = x

the number  is multiplied by 6 = 6x

four less than twice the same number = 2x - 4

then, from the given statement the final equation equation becomes;

6x = 2x - 4

This unknown number can be solved by collecting similar terms together;

6x - 2x = -4

4x = -4

divide through by 4

\(\frac{4x}{4} = \frac{-4}{4} \\\\x = -1\)

Thus, the unknown number is - 1

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Answer:

1. 11 married females because out of the 19 married, only 8 had more than 15 years of service and 19 - 8 = 11.

2. 10 married males because of out the 18 married with more than 15 years of service, 8 were females and 18 - 8 = 10.

3. 9 single females because out of the 17 with more than 15 years of service, 8 were married and 17 - 8 = 9.

4. 8 married females because it literally says, "8 married female with more than 15 years of service".

gotta go hope this helps sry