Which statements must be true to model a data set using a normal distribution?

The sample mean must equal the population mean.
The standard deviation of the population must be less than 30.
The sample must be randomly selected.
The sample size, n, must be at least 30.
The population mean must be greater than the sample mean.

Answer:

2.75

Step-by-step explanation:

So lets work this out:

First, we will need to convert 85 cm to meters. That would be 0.85 meters.

Now we can take 0.85 meters and subtract it from 3.6. This equals 2.75.

A plank of wood is 3.6 meters long. 85 cm is sawn off.  How long is the remaining plank? 2.75 meters

Also no thank you I am a lady

Pretty sure its 3.2.......

Answer:

3

Step-by-step explanation:

edge 2021

Answer:

x^4 • x^-2 = x^6

Step-by-step explanation:

Answer:

0.24 pages per hour

Step-by-step explanation:

To solve this you have to divide total pages by the hours to get the speed per hour. Here is the equation;

28 / 116 = 0.2413793103448276

Hope this helps!

Answer:

C

Step-by-step explanation:

A=6a²=6·6.5²=253.5

cost of 4 snacks

Answer: 53

Total cost: 3.50× + 39

Answer:

The answer is 119

Step-by-step explanation:

Answer:

119

Step-by-step explanation:

There is a reason why the answer is 119

First, lets take a look at your perfect squares chart ( by tens )

10 x 10 = 100

20 x 20 = 400

30 x 30 = 900

40 x 40 = 1600

50 x 50 = 2500

60 x 60 = 3600

70 x 70 = 4900

80 x 80 = 6400

90 x 90 = 8100

100 x 100 = 10000

110 x 110 = 12100

120 x 120 = 14400

we know that 12100 < 14161 < 14400, so it has to be in between the square root of 110 and the square root of 120

111 x 111 = 12321

112 x 112 = 12544

113 x 113 = 12769

114 x 114 = 12996

115 x 115 = 13225

116 x 116 = 13456

117 x 117 = 13689

118 x 118 = 13924

119 x 119 = 14161

We found out that the square root of 119 = 14161

Therefore, the square root of 119 = 14161

If you want to find out a quicker way to do this, comment me below

Answer:

1) 20%

2) 30%

3) 50%

Step-by-step explanation:

Answer:

1. 40%

2. 25%

3. 60%

Step-by-step explanation:

Answer:

DCA and EFH

Step-by-step explanation:

Answer:

(a) Same slope and different y intercept

Step-by-step explanation:

Given

[tex]y = \frac{3}{7}x + 11[/tex]

[tex]-3x + 7y = 13[/tex]

Required

Are the lines, parallel?

To do this, we first convert both equations to slope intercept;

[tex]y = mx+ b[/tex]

Where

[tex]m = slope[/tex]

So, we have:

[tex]y = \frac{3}{7}x + 11[/tex]

[tex]-3x + 7y = 13[/tex]

Solve for 7y

[tex]7y = 3x + 13[/tex]

Solve for y

[tex]\frac{7y}{7} = \frac{3x}{7} + \frac{13}{7}[/tex]

[tex]y = \frac{3}{7}x + \frac{13}{7}[/tex]

So, the two equations are now:

[tex]y = \frac{3}{7}x + 11[/tex]

[tex]y = \frac{3}{7}x + \frac{13}{7}[/tex]

When two lines have the same slope but different y intercepts, then they are parallel.

Recall that:

In [tex]y = mx + b[/tex]

[tex]m = slope[/tex]

[tex]b = y \ intercept[/tex]

So:

In [tex]y = \frac{3}{7}x + 11[/tex] and [tex]y = \frac{3}{7}x + \frac{13}{7}[/tex]

The slopes are:

[tex]m = \frac{3}{7}[/tex] and [tex]m = \frac{3}{7}[/tex]

The y intercepts are:

[tex]b = 11[/tex] and [tex]b = \frac{13}{7}[/tex]

Since the values of m (the slope) are the same and the values of b (the y intercepts) are differenr, then they are parallel

The diameter of a tire is the distance across the tire through the center. Since tires are circular, you can find the circumference of the tire from the diameter. The circumference represents the distance the tire travels when it makes one revolution. If you know the number of inches in a mile and the circumference, you can find the number of times the wheel turns per mile.

First, measure the diameter of the tire in inches.

Secondly, multiply the diameter by pi, which is approximately 3.1416, to find the tire circumference. For example, if the tire has a 20 inch diameter, multiply 20 by 3.1416 to get 62 inches.

Hope this helped

Answer:

-√1/5

Step-by-step explanation:

If the product of 5 and w to the second power is equal to the sum of 9 and k, this is expressed as;

(5w)² = 9 + k

Given that k = -4, on substituting;

(5w)² = 9 + (-4)

(5w)² = 9-4

(5w)² = 5

25w² = 5

5w² = 1

w² = 1/5

w = ±√1/5

w = -√1/5

Hence the NEGATIVE value of w is -√1/5

Answer:

12.5

Step-by-step explanation:

6+10= 16    200/16=12.5

Answer:

49.568

Step-by-step explanation:

Answer:

NO

Step-by-step explanation:

Recall: for a relation or a set of points to be a function, every x-value or input must have exactly one y-value or output.

From the given set of points, the x-value (inputs), -2, has two y-values (inputs), 1 and 3.

Therefore, the set of points does not represent a function.

Answer:

1/3

Step-by-step explanation:

48+32+16=96

numerator : 32

denominator : 96

32/96=1/3

Answer:

b

Step-by-step explanation:

Answer:

finding the product of 9,10,and 9

810

Step-by-step explanation:

1: 1

3: 4

5: 9

7: 16

sorry if this doesn't make sense if it does i hope it helped:)

Hi

Let's call X  the amount in the beginning.  

we  have X*1.03^6 = 1819.77

                X =  1819.77 /  1.03^6

                X ≈ 1524.03

Answer:

D

Step-by-step explanation:

Answer:

it is D im 99% sure

Step-by-step explanation:

dddddddd

Answer:

B.

Step-by-step explanation:

x+63=150

x+63-63=150-63

x=87

She needs 87 more dollars for her new phone.

Answer:

I think I don't understand the question

Answer:  2/8  

Step-by-step explanation: becau

Here, we have to write a fraction equivalent to [tex]\sf{ \dfrac{1}{4}} [/tex].

Multiply 2 with the numerator and the denominator of the fraction.

→ [tex]\sf{ \dfrac{1}{4} = \dfrac { 1 \times 2}{ 4 \times 2} } [/tex]

→ [tex]\sf{ \dfrac{1}{4} = \dfrac { 2}{ 8} } [/tex]

So, a fraction equivalent to [tex]\sf{ \dfrac{1}{4}} [/tex] is [tex]\sf \red{ \dfrac{2}{8}} [/tex].

Similarly, we can multiply with another numbers (ex : 3,4,5,6) with numerator and the denominator of the given fraction to find the fractions equivalent to the given fraction.

Step-by-step explanation:

Dimensions of cube = 1 in × 1in .

No. of cubes in each layer = 15 .

No. of layers = 2 .

• Therefore the volume of one cube :-

[tex]\tt \to Volume_{(cube)}= side^3 = (1 \ in.)^3 = \red{1in.^3}[/tex]

• Therefore the volume of one layer :-

[tex]\tt\to 1\ in.^3\times 15 =\orange{15\ in.^3} [/tex]

• Therefore the volume of whole box :-

[tex]\tt\to 2\ in.^3\times 15 =\orange{30\ in.^3} [/tex]

Therefore our required answer is 30 inch ³.

15x2=30 polegadas

bhyrhyhybtrhthvtt

Answer:

b

Step-by-step explanation: