Please help with this dilation

Using the Central Limit Theorem, it is found that the standard deviation for the sampling distribution of sample means is given by:

[tex]s = \frac{\sigma}{\sqrt{51}}[/tex].

The Central Limit Theorem states that, the sampling distribution of sample means of size n, from a population with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], has mean [tex]\mu[/tex] and standard deviation, which is also called standard error, [tex]s = \frac{\sigma}{\sqrt{n}}[/tex].

In this question, 51 samples, hence, [tex]n = 51[/tex]

Hence, applying the Central Limit Theorem, the standard deviation for the sampling distribution of sample means is given by:

[tex]s = \frac{\sigma}{\sqrt{51}}[/tex].

A similar problem, which also involves the Central Limit Theorem, is given at https://brainly.com/question/24663213

Answer:

1. 5⁴

2. d¹⁰

3. w⁶

Answer:

Using the Vertical Angle Theorem,

if two angles are vertical, then they are congruent

therefore, ∡4=∡5 and ∡6=∡7

since ∡4≅∡7

then ∡5 must also be ≅ to ∡6

Step-by-step explanation:

Step-by-step explanation:

Statement                                        Reason                        

∠4 ≅ ∠7                                           Given

∠4 and ∠5 are vertical angles        Vertical angles theorem

∠6 and ∠7 are vertical angles        Vertical angles theorem

∠4 ≅ ∠5 and ∠ 6≅ ∠7                     Definition of vertical angles

∠5 ≅ ∠6                                           Substitution property of equality

Answer:

Another way to calculate the correlation coefficient (r) is to multiply the slope of the regression line by the standard deviation of X and then divide by the standard deviation of Y.

Answer:

D. 62 1/4 inches

Step-by-step explanation:

Convert 3 1/2 to 3 2/4 so the denominator is 4. Then add that to 58 3/4 inches and you get 62 1/4.

Hope this helps!

Answer:

Step-by-step explanation:

Initial value of house is $478000

Change in value is 8% greater:

We need 8% of Value

[tex]\\ \sf\longmapsto 8\%\:of\;478000[/tex]

[tex]\\ \sf\longmapsto 0.08(478000)[/tex]

[tex]\\ \sf\longmapsto 38240\$[/tex]

Current value:-

[tex]\\ \sf\longmapsto 478000+38240=516240[/tex]

Step-by-step explanation:

as we know, 1 exterior angle is equal to 2 interior angle

therefore let angle u be x.

now,

→ 65° + x = 105

→ x = 105 - 65 = 40°

therefore

TUS = 40°

and to know measure of angle TSU apply angle sum property of triangle in ∆TUS

so,

65 + 40 + TSU = 180

105 + TSU = 180

TSU = 180 - 105 = 75°

therefore,

TSU = 75°

hope this answer helps you dear! take care

Answer:

x=2,y=-3

Step-by-step explanation:

detailed explanation showed in the image above

Answer:

D

Step-by-step explanation:

Because if you see the x-intercept you will see function with zeros of -2, -1 and 2

Answer:

x = -2, y = -6

Step-by-step explanation:

(8x - 3y) + (-8x - 5y) = 2 + 46

-8y = 48

y = -6

8x - 3y = 2

8x - 3(6) = 2

8x + 18 = 2

8x = -16

x = -2

Answer:

[tex]\boxed { \sf (-2, -6) }}[/tex]

Step-by-step explanation:

We are asked to find the solution of the system of equations.

[tex]8x-3y=2\\-8x-5y=46[/tex]

When we solve systems of equations, we have to do 2 steps. The first step eliminates one variable so we can solve for the other. The next step helps us find the variable we canceled.

The first equation has the term 8x and the second equation has the term -8x. If these are added, they cancel, so we are left with the variable y. Add the equations together.

[tex](8x-3y=2) \\+ (-8x-5y=46)[/tex]

8x and -8x cancel, then add.

[tex](-3y=2)\\+ (-5y=46)[/tex]

___________

[tex]-8y= 48[/tex]

We are solving for y, so we must isolate the variable. It is being multiplied by -8. The inverse operation of multiplication is division. Divide both sides by -8.

[tex]-8y/-8=48/-8 \\y= 48/-8 \\y=-6[/tex]

Now we know what y is equal to, so we can plug it back into one of the original equations and solve for x.

I chose the first equation.

[tex]8x-3y=2[/tex]

[tex]8x-3(-6)=2[/tex]

[tex]8x+18=2[/tex]

Subtract 18 from both sides to isolate 8x.

[tex]8x+18-18=2-18\\8x=2-18\\8x=-16[/tex]

Divide both sides by 8.

[tex]8x/8=-16/8 \\x=-16/8 \\x= -2[/tex]

Coordinate points are written as (x,y) so our solution is (-2, -6)

Answer:

Triangle

Area-9 units

Perimeter-9 units

Rectangle

Area- 18

Perimeter- 18

Step-by-step explanation

For the triangle, you first plot the points. Then you find two of the side lengths and multiply them together. After that you divide the result by two. You get the area. You add the sides together for the perimeter. For the rectangle, you have 3 and 6. Multiply to get 18. 3+3+6+6 is also 18.

Answer:

y=150x+50

y=200+150x

Step-by-step explanation:

y=150x+50

y=200+150x

Answer:

15.62500

Step-by-step explanation:

Answer:

62.5 62 1/2

Step-by-step explanation:

You need to convert the decimal into a fraction

which is 25/2 then make the bottom into the same

5/4 is good because it is 4 so change the 25/2 into a 4.

So you have to do 25x 2 and 2x2 equal to  50/4

then do it like normal

50/4 x 5/4=  250/4 62.5

(50 x 5 and 4x4

Hope that helps!

Go shop at Quelenasboutique on esty

Answer:

Same line I think

Step-by-step explanation:

Both go through -2 in x axis

Answer:

Neither

Step-by-step explanation:

To find the slope of the line using the points, we use the equation:

y2 - y1 / x2 - x1

Which would make the lines as follows:

y = 4/3x - 1/3

y = 10/9x + 2/9

And since these lines intersect at point (2.5 , 3), that would make them Neither because the slopes are not mirrored or the same.

Answer:

10

Step-by-step explanation:

200-65= 135

135/13.5=10

Answer:

11

Step-by-step explanation:

142=10+12x

132=12x

11=x

Answer:

x=12

Step-by-step explanation:

Answer:

parallel, perpendicular are opposite

Answer:

PARALLEL PERPENDICULAR

Step-by-step explanation:

[tex]-2(-4)\cdot 8 (-1)\\\\=8 \cdot (-8)\\\\=-64\\\\\text{This one is negative.}[/tex]

Answer:

4s²

Step-by-step explanation:

The area is made up of four squares each of side s . The area of one square will be s*s = s² .

Hence the area of 4 such squares will be 4*s² = 4s²

Your choice is correct .

Answer:

40%

Step-by-step explanation:

To change a fraction into a percentage, multiply by 100% , then

[tex]\frac{10}{25}[/tex]

= [tex]\frac{10}{25}[/tex]  × 100%

= 0.4 × 100%

= 40%

Answer:

In the case of a decimal number, we round down to find the actual number of guesses. Therefore, for a 1000-element array, binary search would require at most 10 guesses. (which is 2,097,152), so we would need at most 22 guesses.

Step-by-step explanation:

Answer:

It is true that both cars are traveling at the same speed.

Step-by-step explanation:

Given that car A travels 20 miles over half an hour, we know that this car is traveling at a speed of 40 miles per hour.

Car B travels 30 miles in 3/4 of an hour, let us set up a proportion to solve whether or not Car B is traveling at the same rate as Car A

30 miles / (3/4 hour) = x miles / 1 hour      Cross multiply

30 = (3/4) x                                                   Divide both sides by (3/4)

40 = x

Therefore, both Car A and Car B are traveling at the same rate.

Step-by-step explanation:

Answer:

48 & 24

Step-by-step explanation:

6×8 and 8×6 will get you 48

6×4 and 8×3 will get you 24

Answer: I was thinking (5,0), (4,1), and (3,2) for a total of 12 ways.

Step-by-step explanation:1

It is 3: the partitions of 5 into ≤2 parts.

Difference = 60 - 48 = 12

Percentage = [tex] \frac{12}{60} \times 100 = \frac{12}{3} \times 5 = 4 \times 5 = 20\% \\ [/tex]