if the mean of a random variable X is 45 what will be the mean of the sampling distribution of the sample mean?

Answer:

a = 19

Step-by-step explanation:

Form a equation using y = mx + c form

(27) = (-8)(10) + c

27 = -80 + c

107 = c

y = -8x + 107

Substitute the x value to find a

y = -8(11) + 107

y = 19

Answer:

43200 yd³

Step-by-step explanation:

The water reservoir is a rectangular solid that is a three dimensional shape with six quadrilateral faces (cuboid).

This reservoir has a base of 60 yards by 30 yards, and a vertical height of 30 yards. Therefore:

Volume of the reservoir = area of base * vertical height = 60 * 30 * 30 = 54000 yd³

This reservoir hence have a volume of 54000 yd³ when filled up with water.

After 3 months, the height of the water was down to 6 yards therefore the the volume is:

Volume after 3 months = area of base * vertical height = 60 * 30 * 6 = 10800 yd³

The amount of water used after 3 months = volume of water at beginning - volume of water after 3 months

The amount of water used after 3 months = 54000 - 10800 = 43200 yd³

Answer:

The length of MN is 4

Choose B

Answer:

Part A

(1y^2+3y-6)+(4y-7+2y^2)+(3y^2-8+5y)

6y^2+12y-21

9514 1404 393

Answer:

  (b)  √55

Step-by-step explanation:

The right triangles in this geometry are all similar, so the ratio of long side to short side is the same:

  y/5 = 11/y

  y² = 55 . . . . . . multiply by 5y

  y = √55 . . . . . take the square root

__

And x=4√5 by looking at ratios of short side to hypotenuse.

Answer:

The correct answer is = 15.

Step-by-step explanation:

Formula:

The sum of the first n terms of an arithmetic progression with first term a and constant difference d is

[tex]S_n=\dfrac{n}{2}[2a+(n-1)d[/tex]

using this formula in this problem

Solution:

The sum of the first ten terms is

[tex]S_{10}=\dfrac{10}{2}[2a+(10-1)d[/tex]

[tex]S_{10}=5(2a+9d)[/tex]

The sum of the 20th, 21st, and 22nd terms is three times the 21st term:

[tex]3a_{21}=3(a+(21-1)d)[/tex]

[tex]3a_{21}=3(a+20d)[/tex]

[tex]3a_{21}=3a+60d[/tex]

The problem then tells us

[tex]S_{10}=3a_{21}[/tex]

[tex]10a+45d=3a+60d[/tex]

[tex]7a=15d[/tex]

there are only positive integers and the first term a is less than 20 as given. Since 7 and 15 have no common factor, the only explanation of the requirements is a = 15 and d = 7. So the progression is

then, 15, 22, 29, 36, ...

The problem says to find the number of terms n for which the sum is 960:

putting value in the formula

[tex]30n+7n^{2}-7n=1920\\7n^{2}+23n-1920=0[/tex]

solving quadratic will give n = 15

thus, the correct answer is 15.

Answer:

hope it helps much

Answer:

3.15 seconds is the answer.

Explanation

when the ball touches the ground, h =0

hence,

0=255-21t-16t²

16t²+21t-225=0

here a=16 ,b=21, c= -225

[tex]t= \frac{ - b± \sqrt{ {b }^{2} - 4ac} }{2a} \\ \\ t= \frac{ - 21± \sqrt{ {21}^{2} - 4 \times 16 \times - 225} }{2 \times 16} \\ = \frac{ - 21 ± \sqrt{441 - ( - 14400)} }{32} \\ = \frac{ - 21± \sqrt{14841} }{32} \\ = \frac{ - 21±121.82}{32} \\ \\ t = \frac{ - 21 + 121.82}{32} \: or \: \: t = \frac{ - 21 - 121.82}{32} \\ t = 3.15 \: \: or \: \: t = - 4.46[/tex]

time cannot be negative, hence t = -4.46 can be avoided

The ball takes 3.15 seconds to hit the ground.

Work Shown:

Apply the slope formula

m = (y2-y1)/(x2-x1)

m = (1-3)/(3-(-1))

m = (1-3)/(3+1)

m = -2/4

m = -1/2 is the slope

In decimal form, this converts to -0.5, though usually slopes are in fraction form.

Answer:

Hello friend kya in snap and p to Trisha

Answer:

in 3 minutes ;

44 × 3 = 132 copies

and 45 soconds;

[tex]45 \: seonds \: = \frac{3}{4} \: mınutes[/tex]

44 × ¾ = 33 copies

HAVE A NİCE DAY

Step-by-step explanation:

GREETİNGS FROM TURKEY ツ

the answer is in the picture above

Answer:

You make me feel like I can do anything and I am so happy to be with you. Thank you for being the wonderful, amazing person that you are. You surprise me every day and you warm my heart every night. I am the person I am today because you've loved me and helped me, love.

Answer:

[tex]\frac{a}{c}[/tex] = [tex]\frac{3}{20}[/tex]

Step-by-step explanation:

[tex]\frac{a}{c}[/tex] = [tex]\frac{a}{b}[/tex] × [tex]\frac{b}{c}[/tex] = [tex]\frac{2}{5}[/tex] × [tex]\frac{3}{8}[/tex] = [tex]\frac{6}{40}[/tex] = [tex]\frac{3}{20}[/tex]

Answer:

g(x) = x^3 - 2

Step-by-step explanation:

As you can see on the graph, the line has been translated down 2 units.

If the graph of f has the same shape as the graph of g, then the slope remains the same. The y intercept (k) changes by -2 units, so the k value is -2

g(x) = x^3 - 2

Hope this helps!!

Answer:

21.36 meters

Step-by-step explanation:

Given

[tex]h = 37m[/tex]

[tex]\theta = 60^o[/tex]

Required

The distance from the base (b)

The question illustrates right-angled triangle (see attachment)

To solve for (b), we make use of tangent formula

[tex]\tan(60)=\frac{h}{b}[/tex]

Make b the subject

[tex]b =\frac{h}{\tan(60)}[/tex]

So:

[tex]b =\frac{37}{\tan(60)}[/tex]

[tex]b =\frac{37}{1.7321}[/tex]

[tex]b =21.36[/tex]

Answer:

The price elasticity of demand is -10

Step-by-step explanation:

Given

[tex]p_1,p_2 = 50,40[/tex]

[tex]q_1,q_2 = 400,500[/tex]

Solving (a): The coefficient of price elasticity of demand (k)

This is calculated as:

[tex]k = \frac{\triangle q}{\triangle p}[/tex]

So, we have:

[tex]k = \frac{500 - 400}{40 - 50}[/tex]

[tex]k = \frac{100}{-10}[/tex]

[tex]k = -10[/tex]

Because |k| > 0, then we can conclude that the company made a wise decision.

Answer:

A

Step-by-step explanation:

small dog eats 3/4 cup each day

large dog eats 1 cup each day

~after 1 week (x7)~

small dog = 5.25 cups

large dog = 7 cups

(7-5.25=1.75)

= therefore 1 and 3/4 cups

Answer:

It means acidosis.

Step-by-step explanation:

When the pH level of the human blood is less than 7.35, the condition is known as acidosis.

When the pH level of the human blood is more than 7.45, the condition is known as alkalosis.

The organs which help to regulate the pH of human body is lungs.

Lungs remove the carbon di oxide through breathing or respiration.

Step-by-step explanation:

28:20

Once simplified its 7:5

Answer:

338

Step-by-step explanation:

1×2=2 2+6+10+14+18+22+26+30

3×2=6 +34+36+38+42+46+50=338

5×2=10

7×2=14

9×2=18

11×2=22

13×2=26

15×2=30

17×2=34

19×2=38

21×2=42

23×2=46

25×2=50

Answer:

7 : 8

Step-by-step explanation:

that is the procedure above

Answer:

The answer is "840".

Step-by-step explanation:

Following are the number of ways in which selecting a team A  by 9 children:

[tex]= ^{9_{C_{3}}\\\\\\[/tex]

[tex]=\frac{9!}{3! \times 6!} \\\\=\frac{9\times 8\times 7\times 6!}{3 \times 2\times 1\times 6!}\\\\=\frac{9\times 8\times 7}{3 \times 2\times 1}\\\\=\frac{3\times 4\times 7}{1}\\\\=\frac{84}{1}\\\\=84[/tex]

Following are the number of ways in which selecting a team B  by remaining 6 children:

 [tex]= ^{6}_{C_{3}}[/tex]

[tex]= \frac{6!}{(3! \times 3!)}\\\\= \frac{6!}{(3\times 2\times 1 \times 3!)}\\\\= \frac{6\times 5 \times 4 \times 3!}{(3\times 2\times 1 \times 3!)}\\\\= \frac{ 5 \times 4 \times 3!}{3!}\\\\= 5 \times 4 \\\\=20[/tex]

Following are the number of ways in which selecting a team C  by remaining 3 children:

[tex]= ^{3}_{C_{3}}\\\\=\frac{3!}{3!}\\\\= 1[/tex]

Following are the number of ways in which making 3 teams by 9 children:

[tex]= \frac{(84 \times 20 \times 1)}{3!}\\\\= \frac{(84 \times 20 )}{6}\\\\= 14 \times 20\\\\= 280\\\\[/tex]

(Note: we've split by 3! Because it also is necessary to implement three teams between themselves)

Now 3 leagues have to be played. One is going to be run by each team.

That is the way it is

Different possible divisions

[tex]= 280 \times 3!\\\\= 280 \times (3 \times 2 \times 1)\\\\= 840[/tex]