Lines a, b, c, and d intersect as shown. What is z

Answer:

yes. The central limit theorem states that the sampling distribution of a sample mean can be modeled by a normal model, regardless of the shape of the population distribution.

Step-by-step explanation:

In order for the distribution of the sample mean to be normal, the sample size, n, must be large enough. By the central limit theorem, if n > 30, the distribution of the sample mean can be modeled by a normal distribution.  

The answer is yes the central limit theorem states that the sampling distribution of a sample mean can be modeled by a normal model, regardless of the shape of the population distribution.

Option (B) is correct.

It is required to find  the appropriate to model the distribution of the sample.

science that deals with the addition, subtraction, multiplication, and division of numbers and properties and manipulation of numbers.

Given that:

A local steakhouse served 625 customers over a weekend.

The average cost of each customer's food purchase is 52 dollars, with a standard deviation of 17 dollars. random sample of 315 customers are selected from the weekend's customers.

In order for the distribution of the sample mean to be normal, the sample size, n, must be large enough. By the central limit theorem, if n > 30, the distribution of the sample mean can be modeled by a normal distribution.

So, the answer is yes the central limit theorem states that the sampling distribution of a sample mean can be modeled by a normal model, regardless of the shape of the population distribution.

Learn more about arithmetic here:

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Answer:

the answer is c

Step-by-step explanation:

(1-cosb²)/sinx²

Answer:

628.3 cm

Step-by-step explanation:

The window has a semicircle shape = half of a circle

Perimeter of the window = ½(πr²)

Radius (r) = 20 cm

Plug in the value

Perimeter of the window = ½(π*20²)

= ½(π*400)

Perimeter of the window = 628.31853 ≈ 628.3 cm (nearest tenth)

Answer:

57.6 Pounds

Step-by-step explanation:

Weight on Earth = 160 pound

Weight on Mars = (9/25)*160 pound

= 57.6 pounds

Answer:

16

Step-by-step explanation:

8/1/2

8 divided by 1/2

8 x 2/1 = 16

Answer:

Step-by-step explanation:

P=8/V

1/2=8/V

do cross multiplication

2*8=V*1

16=V

Answer:

6x²+4x

Step-by-step explanation:

The given expressions are 3x²- 4x-4 and 3x²+8x+4.

We need to add these two expressions.

3x²- 4x-4 + 3x²+8x+4 = 3x² + 3x² -4x+8x-4+4

= 6x²+4x

On adding the given expressions, we get the value as 6x²+4x. Hence, the sum of the given expressions is equal to 6x²+4x

Answer:

x = 46

Step-by-step explanation:

Since the angle that is not marked is a vertical angle, is must be the same in each triangle

The sum of each triangle is 180, set them equal and subtract the same angle from each side, this leaves the equation

53+85 = x+92

138 = x+92

138-92 =x

46 =x

Answer:

The numbers are 11 and -4

Step-by-step explanation:

Given

Let the two numbers be [tex]x[/tex] and [tex]y[/tex]

such that:

[tex]x + y = 7[/tex]

[tex]x*y = -44[/tex]

Required

Find x and y

Make y the subject in: [tex]x + y = 7[/tex]

[tex]y = 7 - x[/tex]

Substitute [tex]y = 7 - x[/tex] in [tex]x*y = -44[/tex]

[tex]x(7-x) = -44[/tex]

Open bracket

[tex]-x^2 +7x = -44[/tex]

Rewrite as:

[tex]x^2 -7x -44=0[/tex]

Expand

[tex]x^2 +4x-11x -44=0[/tex]

Factorize

[tex]x(x +4)-11(x +4)=0[/tex]

Factor out x + 4

[tex](x -11)(x +4)=0[/tex]

Solve for x

[tex]x =11; x =-4[/tex]

Recall that:

[tex]y = 7 - x[/tex]

So:

[tex]y = 7-11 = -4[/tex]

or

[tex]y = 7--4 = 11[/tex]

Answer:

9x + 8

Step-by-step explanation:

2(3x + 1) + 5x + 9 - 2x - 3

⇒ 6x + 2 + 5x + 9 - 2x - 3

⇒ 9x + 8

Algebra

2(3x+1)=6x+2

Then combine like terms.

6x+2+5x+9-2x-3

9x+8

Answer:

the answer for this is C.

Step-by-step explanation:

quotient is the number gotten by dividing a number by another.this is why it is C.

Answer:

w < 3.3

C) w < 3.3

D) w < 3.3

Answer:   [tex]w \le 3.3[/tex]

=====================================================

Explanation:

w is the weight and it may be no more than 3.3 pounds. This is the same as saying that 3.3 pounds is the highest it can go. Think of it as the ceiling.

w = 3.3 is possible or anything smaller than it is possible.

So w is 3.3 or smaller meaning we write the inequality [tex]w \le 3.3[/tex]

The answer is not w < 3.3 because that would exclude 3.3 itself.

The answer is between choices C and D. It seems like one of those inequality signs should have an underline.

Answer:

Step-by-step explanation:

3*2t

substitute the value of t

=3*2*4

=24

Answer:

24

Step-by-step explanation:

so you do

3x 2(4) subsuite the t for the 4

then  do 2*4= 8

then d0 3x8= 24

Answer:

c. 250

Step-by-step explanation:

Answer:

33.33 repeating percent.

Step-by-step explanation:

So using the 20 percent, we can guess there will be 2 bulbs that are defective in the sample. So 2/10. But we are guessing there will be 6;6/10. We alreadly know the proablity of that is low. To be exact 2/6 (as they are both over ten we can get rid of that) or 1/3, or 33.333 repeating percent.

Hope this helps!

Answer:

[tex]\cos(30) = \frac{\sqrt3}{2}[/tex]

Step-by-step explanation:

Required

Exact value of [tex]\cos(30)[/tex]

[tex]\cos(30)[/tex] is calculated from an equilateral triangle, divided into with the following dimensions

[tex]Hypotenuse = 6[/tex]

[tex]Adjacent = 3[/tex]

[tex]Opposite = 3\sqrt 3[/tex]

So:

[tex]\cos(30) = \frac{3\sqrt3}{6}[/tex]

[tex]\cos(30) = \frac{\sqrt3}{2}[/tex]

Answer:

[tex]y=2\sin(x)-1[/tex]

Step-by-step explanation:

Let's break it down:

In the sinusoidal function [tex]y=a\sin b(x-c)+d[/tex]:

To find Amplitude, divide the entire height of the function (from top to bottom) by two, or find the vertical distance between the horizontal line of symmetry and the highest/lowest point of the wave. In this case, Amplitude is 2.

To find [tex]b[/tex], use [tex]T=\frac{2\pi}{b}[/tex], where [tex]T[/tex] is the period of the function. To find the period, count the horizontal distance of the length of one complete cycle. In this case, period is [tex]2\pi[/tex] and therefore

[tex]2\pi=\frac{2\pi}{b},\\b=\frac{2\pi}{2\pi}=1[/tex].

To find Phase Shift, find the horizontal shift from the parent function [tex]y=\sin x[/tex]. In this case, there is no phase shift.

To find Vertical Shift, find the vertical shift from the parent function [tex]y=\sin x[/tex]. In this case, vertical shift is -1.

Thus, we've found:

Substituting these values into [tex]y=a\sin b(x-c)+d[/tex] , we get:

[tex]y=2\sin 1(x-0)-1=\boxed{y=2\sin(x)-1}[/tex]

Answer:

850 boxes per hour hope that helps

Answer: 250 boxes of cereal per hour

Work: All i did was divide the 5950 boxes by the 7 hours. After that, I got the quotient 250.

Answer:

The answer is A, the CPI is 25.50, and the rate of inflation is 2%.

Step-by-step explanation:

I took the test and I know the correct answer. :)

Answer:

E) 102 and 2%

Step-by-step explanation:

Answer:

the median is 12

the mean is 11.16

I believe the answer is:

Median: 12 hours

Mean: 11.2 hours

Hope this helps! :D

The answer is 'Right'.

Step-by-step explanation:

Sum of angles in a triangle = 180°

Angle C = 180 - 58 - 32

= 90°

90° is defined as a right angle.

Therefore, triangle ABC is classified as a right-angled triangle.

Answer:

(100,300)

Step-by-step explanation:

Just did it and got it right.

Answer:

you would pay $11.04

Step-by-step explanation:

$12 x .08= .96

$12 - 0.96 = $11.04

Answer:

11.04

Step-by-step explanation:

So, a ticket cost 12$.

We need to find the price when it of 8% off, whihc is tecnically 92% of the orginal price.

Putting this into decimal form:

0.92

So to find this price, we need to multiply the orginal price by the percentage:

12*0.92

0.02*12 is 2*24 adding 2 decimals which equals 0.24

0.9*12 is 12*9 adding 1 deecimal which equals 10.8

Add them together: 0.24+10.8 = 11.04

So 11.04 is our new cost.

Hope this helps!

Answer:

700,000 + 2,000 + 1

Step-by-step explanation:

Answer:

Step-by-step explanation:

area of circle=πr^2

=3.14*5^2

=3.14*25

=78.5 ft^2

Answer: 0.85 hope this helps

Step-by-step explanation: plz mark brainlest

Answer:

156

The angle measurement is reasonable.  It must be less than 180 which is a straight line

Step-by-step explanation:

Vertical angles are equal

3x = x+104

Subtract x from each side

3x-x = x+104-x

2x = 104

Divide by 2

2x/2 = 104/2

x = 52

3x = 3*52 = 156

The angle measurement is reasonable.  It must be less than 180 which is a straight line

9514 1404 393

Answer:

  384 square yards

Step-by-step explanation:

The area of a rectangle is given by the formula ...

  A = LW . . . . . where L and W stand for Length and Width

Using the given dimensions, you find the area to be ...

  A = (24 yd)(16 yd) = 24×16 yd² = 384 yd²

The area of the figure is 384 square yards.

Answer:

The game ended at 1:24 p.m.

Step-by-step explanation:

36

pemdas rule

paranthesis first

8 ÷ 2 + 32

then division

4 + 32

then addition

36