Helppppppppppppppppppppppppp

9514 1404 393

Answer:

  [tex]\displaystyle S_n=\sum_{k=1}^n{4(-3)^{k-1}}[/tex]

Step-by-step explanation:

The first term of this geometric series is 4. The common ratio is -12/4 = -3, so the general term is ...

  an = 4·(-3)^(n-1)

The sum is the sum of terms of this form.

  [tex]\displaystyle S_n=\sum_{k=1}^n{4(-3)^{k-1}}[/tex]

Answer:

a. 0.007 = 0.7% probability that none of the households are turned to nbc Sunday night football

b. 0.993 = 99.3% probability that at least one of the households is turned to nbc Sunday night football.

c. 0.046 = 4.6% probability that at most one of the households is turned to nbc Sunday night football

d. 1 is less than 2.5 standard deviations below the mean, so having at most one people watching shouldn't be considered an unusual outcome, which means that the 22% share values does not appear wrong.

Step-by-step explanation:

For each household, there are only two possible outcomes. Either it is tuned to Sunday Night Football, or it is not. The probability of a household being tuned to Sunday Night Football is independent of any other household. This means that the binomial probability distribution is used to solve this question.

Binomial probability distribution

The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.

[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]

In which [tex]C_{n,x}[/tex] is the number of different combinations of x objects from a set of n elements, given by the following formula.

[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]

And p is the probability of X happening.

22% are turned to that game

This means that [tex]p = 0.22[/tex]

Sample of 20 households:

This means that [tex]n = 20[/tex]

a. Find the probability that none of the households are turned to nbc Sunday night football:

This is P(X = 0). So

[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]

[tex]P(X = 0) = C_{20,0}.(0.22)^{0}.(0.78)^{20} = 0.007[/tex]

0.007 = 0.7% probability that none of the households are turned to nbc Sunday night football.

b. Find the probability that at least one of the households is turned to nbc Sunday night football.

This is:

[tex]P(X \geq 1) = 1 - P(X = 0)[/tex]

Since P(X = 0) = 0.007

[tex]P(X \geq 1) = 1 - P(X = 0) = 1 - 0.007 = 0.993[/tex]

0.993 = 99.3% probability that at least one of the households is turned to nbc Sunday night football.

c. Find the probability that at most one of the households is turned to nbc Sunday night football (3 digits)

This is

[tex]P(X \leq 1) = P(X = 0) + P(X = 1)[/tex]. So

[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]

[tex]P(X = 0) = C_{20,0}.(0.22)^{0}.(0.78)^{20} = 0.007[/tex]

[tex]P(X = 1) = C_{20,1}.(0.22)^{1}.(0.78)^{19} = 0.039[/tex]

[tex]P(X \leq 1) = P(X = 0) + P(X = 1) = 0.007 + 0.039 = 0.046[/tex]

0.046 = 4.6% probability that at most one of the households is turned to nbc Sunday night football.

d. If at most one household is turned to nbc Sunday night football, does it appear that the 22% share value is wrong? Why or why not?

A measure is considered unusually low if it is more than two and a half standard deviations below the mean.

The mean is:

[tex]E(X) = np = 20*0.22 = 4.4[/tex]

The standard deviation is:

[tex]\sqrt{V(X)} = \sqrt{np(1-p)} = \sqrt{20*0.22*0.78} = 1.8526[/tex]

4.4 - 2.5*1.8526 = -0.2.

1 is less than 2.5 standard deviations below the mean, so having at most one people watching shouldn't be considered an unusual outcome, which means that the 22% share values does not appear wrong.

Answer:

The greatest common factor of 80 and 20 is 20

Step-by-step explanation:

Answer:

angle 4 and angle 8 are congruent

Answer:

[tex]\angle{6}\:corresponds\:\angle{2}[/tex]

Answer:

6 units

Step-by-step explanation:

they are six units apart just count the amount of units they are from each other or since they are in the same quadrant and y-axis just subtract the 10 from the 4

Answer:

6 units is the answer.

Step-by-step explanation:

points are (10,-5) and (4,-5)

Pythagorean theorem can be written as,

[tex]d=\sqrt{(x_2-x_1)^2 + (y_2-y_1)^2} \\\\d=\sqrt{(4-10)^2 + (-5-(-5))^2}\\\\d=\sqrt{(-6\\)^2+(0)^2} \\\\d=\sqrt{36} \\\\d=6} \\\\[/tex]

∴ d = 6 units

Answer:

The point has a high leverage

Step-by-step explanation:

The point has a high leverage as it would act as an infinitesimal point that will have a very huge/drastic  impact on the fit of the model, and this impact can be seen in such ways as listed below :

removing this point will eliminate these drastic impact and make the correlation to be better.

From the information given about the outliner, the given point is not influential and therefore does not have high leverage.

An outlier refers to a data point whose response does not follow the general trend of the rest of the data.

A data point has high leverage if it has an extreme predictor x value. Here, x = 53 and, y = 28.5.

X is not an extreme point, the data point is not high leverage but an outlier. The data point doesn't follow the general trend of the rest of the data.

Hence the given point is not influential.

Learn more about outliner on:

https://brainly.com/question/3631910

Answer:

any number from 6 and above

Step-by-step explanation:

2 is the answer because it's in the middle

Answer:

Circle with the radius r=5 and the center (-2,3)

Step-by-step explanation:

Answer:

radius: 5 and center: (-2,3)

Step-by-step explanation:

The standard form of the equation after completing the square is

(x+2)^2+(y-3)^2=25

Answer:

2031

Step-by-step explanation:

3.63=0.046x+2.664

0.966=0.046x

21=x

2010+21=2031

Answer:

141.8

Step-by-step explanation:

the angles of a triangle add up to 180

180-19.1-19.1= 3rd angle

141.8

Answer:

5)32

6)-7

7)-48

8)11

9)800

10)70.52

11)15

Step-by-step explanation:

Answer:

x=6

Step-by-step explanation:

get your cup alone by removing the 3 balls. When I take one ball away from one side I have to take it form the other as well. so subtract 3 balls from both sides

x=6

Answer:

6

Step-by-step explanation:

I think

Answer:

$30.25

they each put together $30.25

Step-by-step explanation:

121.00 divided by 4 =

30.25

Answer:

x = 125 degrees

Step-by-step explanation:

The vertical angles theorem states that two angles opposite to each other that are formed from 2 intersecting lines are congruent.

Therefore, angle x and the angle that is 125 degrees are congruent to each other.

So, x=125 degrees.

Hope this helps! :)

Answer: m=25

Step-by-step explanation: 49 - 24= 25

Answer:

Step-by-step explanation:

Answer:

1 D. 400 spins

2 C.4/20

3 A. 6/20

Step-by-step explanation:

1

The more times you run a probability-based trial, the more likely you are to get close to the theoretical frequency.

2

Since 1 and 2 represent goals, just find the options that have three/four 2's and 1's. These are 5212, 2152, 2512, and 2112. Since there are 4 options out of 20, we can say our probability is 4/20

C

Since 1 and 2 represent goals, we have to find the options where there are no 1's or 2's. These are 6643, 3554, 4533, 6634, 4536, and 5546. Since there are 6 options out of 20, we can say our probability is 6/20

Answer:

During the 10 wk period, the rainfall amount recorded most often for City B was 1 in.

Step-by-step explanation:

Given the data :

City A :

Reordered data:

0, 0.2, 0.2, 0.3, 0.4, 1, 1.3, 1.5, 2.5, 3

City B :

Reordered data:

0, 0, 0.1, 0.1, 0.2, 0.3, 0.4, 1, 1, 1

Using a calculator :

Mean Rainfall for City A = 1.04

Mean rainfall for city B = 0.41

Range : maximum - minimum

City A = 3 - 0 = 3

City B = 1 - 0 = 1

Mode (most occurring) :

City A = 0.2

City B = 1

Median :

City A = 0.7

City B = 0.25

The only true conclusion in the options given that can be drawn from the data is that ;During the 10 wk period, the rainfall amount recorded most often for City B was 1 in.

Answer:

the Answer is C.

Step-by-step explanation:

I just took the test

Answer:

23.E

Step-by-step explanation:

please click the heart and rate excellent and brainleist to ☻❤☺️☺️❤☻

Answer:

[tex]300 \\ \\ answer \: \: E\: \: is \: \: correct[/tex]

Step-by-step explanation:

Let the unknown number be x

[tex]x \times \frac{25}{100} = 75 \\ x = \frac{75 \times 100}{25} \\ x = 300[/tex]

Hope this helps you

Answer:

true

Step-by-step explanation:

3 is half of 6

1 is half of 2

Answer:

True

Step-by-step explanation:

Answer:

5x^2 + 7x

option C is your answer

Answer:

w < 3

Step-by-step explanation:

One can solve an algebraic inequality just like how one solves an algebraic equation, by using inverse operations. The only major difference is that when one multiplies or divides by a negative number, one must remember to flip the inequality sign, this rule does not come into play in the given inequality.

4x - 2 < 10

   +2      +2

4x < 12

/4    /4

w < 3

Answer:

the answer is 3

Step-by-step explanation:

Answer:

b= -49

Step-by-step explanation:

Well first isolate the number with the variable by performing inverse operations

1/7b= -7

now multiply by 7 on each side to isolate the variable.

b= -49

B is negative 49

Answer: The shape cannot be determined since we don’t know the shape of either population distribution.

Step-by-step explanation: