Fiad the sample variance and standard deviation.
21, 10, 3, 7, 11

Answer:

The percentage of the students who completed the poll preferred rock and roll music.

P(RR) = 0.1423 = 14.23 %

Step-by-step explanation:

Explanation:-

Given total number of students n(S) = 1960

Given the Students at a high school were polled to determine the type of music they preferred.

Rap 916

Alternative 46

Rock and Roll 279

Country 183

Jazz 32

Other 89

Let ' RR' be the event of Rock and Roll preferred music

given Rock and Roll = 279

n( RR) =  279

The percentage of the students who completed the poll preferred rock and roll music.

[tex]P(RR) = \frac{n(RR)}{n(s)} = \frac{279}{1960}[/tex]

P(RR) = 0.1423 = 14.23 %

Well lets see.

[tex]3(x+4)=3x+4\implies 12 = 4\implies x\notin\mathbb{C}[/tex].

There are no such x-es that satisfy the equation.

Answer:

The probability that a study participant has a height that is less than 65 inches is 0.1103.

Step-by-step explanation:

We are given that the heights in the​ 20-29 age group were normally​ distributed, with a mean of 69.9 inches and a standard deviation of 4.0 inches.

A study participant is randomly selected.

Let X = heights in the​ 20-29 age group.

So, X ~ Normal([tex](\mu=69.9,\sigma^{2} =4.0^{2}[/tex])

The z-score probability distribution for the normal distribution is given by;

                             Z  =  [tex]\frac{X-\mu}{\sigma}[/tex]  ~ N(0,1)

where, [tex]\mu[/tex] = mean height = 69.9 inches

           [tex]\sigma[/tex] = standard deviation = 4.0 inches

Now, the probability that a study participant has a height that is less than 65 inches is given by = P(X < 65 inches)

      P(X < 65 inches) = P( [tex]\frac{X-\mu}{\sigma}[/tex] < [tex]\frac{65-69.9}{4}[/tex] ) = P(Z < -1.225) = P(Z [tex]\leq[/tex] 1.225)

                                                                 =  1 - 0.8897 = 0.1103

The above probability is calculated by looking at the value of x = 1.225 in the z table which lies between x = 1.22 and x = 1.23 which has an area of 0.88877 and 0.89065 respectively.

Answer:

Number of people that can be served 7 ladles = 100 people

Step-by-step explanation:

We are told that;

Initial number of ladles proposed per person = 5

Number of persons to be fed based on 5 ladles = 140 persons

Thus, amount of ladles based on that data is;

140 people x 5 ladle/1 person = 700 ladles full of soup

Now, since the cook decides to give 7 ladles full of soup to each person, the number of people that can be fed will now be;

700 ladles ÷ 7 ladles/person = 100 persons

Answer:

At least 18 of the households have between 2 and 6 televisions.

Step-by-step explanation:

Chebyshev Theorem

The Chebyshev Theorem can also be applied to non-normal distribution. It states that:

At least 75% of the measures are within 2 standard deviations of the mean.

At least 89% of the measures are within 3 standard deviations of the mean.

An in general terms, the percentage of measures within k standard deviations of the mean is given by [tex]100(1 - \frac{1}{k^{2}})[/tex].

In this question:

Mean = 4

Standard deviation = 1

Percentage of households that have between 2 and 6 televisions.

2 = 4 - 2*1

So 2 is two standard deviations below the mean

6 = 4 + 2*1

So 6 is two standard deviations above the mean

By Chebyshev's Theorem, at least 75% of the measures are within 2 standard deviations of the mean.

Out of 24

0.75*24 = 18

At least 18 of the households have between 2 and 6 televisions.

Answer:

-1.75

Step-by-step explanation:

Answer:

53

Step-by-step explanation:

8•7 is 56

56 - 3 is 53

Answer:

53

Step-by-step explanation:

z = 7

8z is the same as saying 8×z

8×7-3 (do multiplication first)

56-3 = 53

Answer:

The amount remaining in coffee storage bin after making 10cups if coffee = (1500-10n) grams

Step-by-step explanation:

This question is incomplete as we are not told what to determine.

Let's consider the following question:

A coffee storage bin contains 1500 grams of coffee beans. To make a cup of coffee, n grams of coffee beans are removed. How many grams of coffee would be left after making 10 cups of coffee?

Solution:

Total amount of coffee in storage bin = 1500grams

To make one cup of coffee, we need n grams of coffee

The amount remaining for one cup = 1500grams - n grams

To make 10 cups of coffee, we would need = 10× n grams of coffee= 10n grams

The amount remaining in coffee storage bin after making 10cups of coffee = total amount in storage - amount for making 10cups

(1500-10n) grams

Answer:

  y = -12x

Step-by-step explanation:

We assume you're concerned with the form ...

  y = kx

Putting -12 for k gives ...

  y = -12x . . . . . the first choice

_____

Additional comment

The answer will depend somewhat on the context of the question. If you're studying proportions, then "k" is the constant of proportionality as shown above.

If you're studying function translations, then "k" is the vertical translation, as in ...

  y = m(x -h) +k

In this case, the equation y = x -12 will have a "k" value of -12.

Answer:

Step-by-step explanation:Srry it's bit rough...

Answer:

A=12 feet²

Step-by-step explanation:

1/2*base*height=area

(1/2)*4*6=12

Answer:

[tex]68.04-1.959\frac{35.74}{\sqrt{250}}=63.618[/tex]    

[tex]68.04+1.959\frac{35.74}{\sqrt{250}}=72.461[/tex]    

And the best option for this case would be

Step-by-step explanation:

Information given

[tex]\bar X=68.04[/tex] represent the sample mean

[tex]\mu[/tex] population mean

s=35.74 represent the sample standard deviation

n=250 represent the sample size  

Confidence interval

The confidence interval for the mean is given by the following formula:

[tex]\bar X \pm t_{\alpha/2}\frac{s}{\sqrt{n}}[/tex]   (1)

The degrees of freedom are given by:

[tex]df=n-1=250-1=249[/tex]

The Confidence level is 0.95 or 95%, and the significance [tex]\alpha=0.05[/tex] and [tex]\alpha/2 =0.025[/tex], and the critical value for this case woud be [tex]t_{\alpha/2}=1.956[/tex]

And replacing we got:

[tex]68.04-1.959\frac{35.74}{\sqrt{250}}=63.618[/tex]    

[tex]68.04+1.959\frac{35.74}{\sqrt{250}}=72.461[/tex]    

And the best option for this case would be

Answer:

The system has one solution.

Step-by-step explanation:

We have two equations:

y = -2x - 4

y = 3x + 3

Equalling them:

y = y

-2x - 4 = 3x + 3

5x = -7

[tex]x = -\frac{7}{5}[/tex]

And

[tex]y = 3x + 3 = 3(-\frac{7}{5}) + 3 = \frac{-21}{5} + 3 = \frac{-21}{5} + \frac{15}{5} = -\frac{6}{5}[/tex]

Replacing in the other equation we should get the same result.

[tex]y = -2x - 4 = -2(-\frac{7}{5}) - 4 = \frac{14}[5} - 4 = \frac{14}{4} - \frac{20}{5} = -\frac{6}{5}[/tex]

So the system has one solution.

Answer:

2

Step-by-step explanation:

Slope is: [tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex]

We are given the points (2,8) and (-6, -8) .

[tex]m=\frac{-8-8}{-6-2} =\frac{-16}{-8}=2[/tex]

The slope is 2.

Answer:

Step-by-step explanation:

What function ?

Answer:

C.

Step-by-step explanation:

First finding height using Pythagoras theorem

(H)²=(B)²+(P)²

8.2²=5.4²+P²

P² = 67.24 - 29.16

P² = 38.08

P = 6.2

Now

Volume of cone = (1/3)πr²h

= (1/3)(3.14)(5.4)²(6.2)

= (1/3)(567.9)

= 189.2 cm³

The answer to your problem is: X=17

Answer:

17

Step-by-step explanation:

x + 10 + 9x=14x-58

x + 9x + 10 =14x-58

10x + 10 =14x-58

By grouping like terms by moving 14x to the left and 10 to the right of the equation; we have:

10x - 14x =-58-10

-4x=-68

x=-68/-4=17{ dividing both sides by -4}

Answer

Since the lyla deleted it actually for a good reason let me explain. But you dont just delete random answers, you can give a comment. I can report you for doing that.

So since it burns at 1.3 per hour. Notice that since it gets removed per hour. so it would be 1.3t so it multiplies per hour. Then we need to subtract. Thats because it lowers the length of the candle. So we get the original length - 17 and get the function

f(t) = 17-1.3t

Answer:

Step-by-step explanation:

Ans-1.)

q 2  = 9 /100 (A) q = 0.3 (p + q) 2  = 1 p + q = 1 p = 1- q = 1 - 0.3 p = 0.7 * The frequency of black color allele is 0.3 and dominant allele is 0.7 (C)

Ans -2.) CRISPR -Cas 9 system has very wide application :

* can be used to disable the dominant deleterious genes .

* Turn on and off by disabling Cas9 nuclease activity and attaching to a transcriptional activator or repressor protein.

* widely used to study function

Ans-3.) Genome wide association studies are important to study behavioral disorders because

* candidate genes identified for further studies.

* Provide an association between  genetic loci and phenotypes.

* Provide a tool to help understand how genetic and environmental factors interact to pyschiatric disorders  

Answer:

32799000 cubic units

Step-by-step Explanation:

Height if the Pyramid=130 Units

Side Length of square base=870 Units

Volume of a Pyramid=[tex]\frac{1}{3}[/tex]* Base Area*Height

Since the base is a square,

Area of a Square of side length s[tex]=s^2[/tex]

Therefore:

Volume[tex]=\frac{1}{3}*870^2*130[/tex]

=32799000 cubic units

The volume of your pyramid is 32799000 cubic units.

Answer:

V = 3.28x10⁷

Step-by-step explanation:

The volume of a pyramid is given by:

[tex] V = \frac{1}{3}bh [/tex]

Where:

b: is the base of the pyramid  

h: is the height of the pyramid = 130            

The base of the square base of the pyramid is given by:

[tex] b = s^{2} [/tex]

Where:

s: is the side of the square base = 870

Thus, the base of the square base of the pyramid is:

[tex] b = s^{2} = (870)^{2} = 7.56 \cdot 10^{5} [/tex]  

Now, the volume of a pyramid is:

[tex] V = \frac{1}{3}bh = \frac{1}{3}(7.56 \cdot 10^{5})*130 = 3.28 \cdot 10^{7} [/tex]

Therefore, the volume of the pyramid is 3.28x10⁷.

I hope it helps you!

Answer:

D

Step-by-step explanation:

Answer:

So if a line was parallel it would have same slope. You can search up what slope-intercept form means. But if you have an equation like this:

y = mx+b

The slope will be m. Your question is written in the form. 2/5 = m.

The slope is 2/5

The y-intercept is 4/5

Answer:

m=2/5

Step-by-step explanation:

Lines that are parallel have the exact same slope.

We have an equation in point slope form.

y=mx+b

where m is the slope and b is the y-intercept.

The slope is the number being multiplied by x. In the equation

y=2/5x+4/5

2/5 and x are being multiplied. Therefore, 2/5 is the slope. A line that is parallel will have the same slope of 2/5.

Answer:

The nearest whole is 122.99 repeated

Step-by-step explanation:

The value of the median is 25 from the dot plot because the middle value is 25 on the dot plot,

A median is a middle number in a series of numbers that have been arranged to lift, and it might be more informative of the set of data than the average. When there are extremes in the sequences that might affect the average of the numbers, the median is sometimes employed instead of the mean.

We have a dot plot shown in the picture.

As we can see in the dot plot there are a total of 9 dots.

4 dots left side and 4 dots right side.

One dot is left which is pointing to the value 25 at the number line.

Thus, the value of the median is 25 from the dot plot because the middle value is 25 on the dot plot,

Learn more about the median here:

brainly.com/question/21396105

#SPJ1

Answer:   b) 1510 vehicles

Step-by-step explanation:

Total: 5 miles x 5280 ft per mile = 26,400

Cars: 80% of vehicles are cars with a length of 13.5 =  0.8(13.5)v = 10.8v

Trucks: 20% of vehicles are trucks with length of 20 = 0.2(20)v = 4v

Between: Distance between two vehicles is 3: (3/2)v = 1.5v

Total  = Cars + Trucks + Between

26,400 = 10.8v + 4v + 1.5v

26,400 = 16.3v

1619.6 = v

the closest number of all of the options is (b) 1510

Answer & Step-by-step explanation:

4(y + 2) - 2

Distribute 4 to (y + 2)

4y + 8 - 2

Combine like terms

4y + 6

So, your answer in the simplest form is 4y + 6

Answer:

G

Step-by-step explanation:

Point G is coplanar with points B, C, H.

Answer:

X = 2 and Y = -3

Step-by-step explanation:

2x+5y=-11    - equation 1

10x+3y=11    - equation 2

from equation 1, 2X = -11 - 5y

                           X = -11/2 - 5Y/2

                           X = -5.5 - 2.5Y

insert X = -5.5 - 2.5Y into equation 2

     therefore, 10x+3y=11

                       10(-5.5 - 2.5Y) + 3y = 11

                       -55 -25Y +3Y = 11

                        -22Y = 11+55

                      Y = -66/22

                      Y = -3

insert Y = -3 into equation 1

      thus 2x + 5(-3) = -11

              2x - 15 = -11

              2x = -11 + 15

              2x = 4

              x = 4/2

              x = 2

ordered pair: X = 2 and Y = -3