Random sampling complicates the analysis of cross-sectional data.

a. True
b. False

The equations 10x-2y=-16 and -5x=8-y have infinitely many solutions because the lines are the same.

It is defined as the relation between two variables, if we plot the graph of the linear equation we will get a straight line.

If in the linear equation, one variable is present, then the equation is known as the linear equation in one variable.

It is given that:

10x - 2y = -16

-5x = 8 - y

Or

-5x + y = 8

10/(-5) = -2/1 = -16/8

-2 = -2 = -2

The equations are the same which means the lines are coincident.

There will be infinitely many solutions.

Thus, the equations 10x-2y=-16 and -5x=8-y have infinitely many solutions because the lines are the same.

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Answer:  the answer is 20"

Step-by-step explanation:

The graph which will represent the equation V=3t+9 is the red one in the following image:

Answer:

10+b

Step-by-step explanation:

b-10=however old he was 10 years ago

10b = 10 times his current age

10-b doesn't really have anything to do with his age

10+b= 10 years plus however old he is.

By solving a linear equation, we can see that the deep of the layer will be 6.37 ft.

For a cylinder of radius R and deep D, the volume is:

V = pi*R^2*D

Where pi = 3.14

In this case, we know that the diameter is 3 ft, so the radius is:

R = 3ft/2 = 1.5ft

And the volume of dirt used is 45 cubic feet, then the deep D must be a solution of the following linear equation:

45 ft^3 = 3.14*(1.5ft)^2*D

Solving this for D, we get:

(45 ft^3)/(3.14*(1.5ft)^2) = D

6.37 ft = D

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Answer:

180 - 90 = 90

5q + 5 + (4q - 5) = 90

9q = 90

q = 10

The function y-t = n(12 - 11 + 13x) is linear according to the y-intercept form.

A first-degree polynomial is a statement that a constant is equal to a first-degree polynomial, or the sum of a group of terms that are each the product of a constant and the first power of a variable.

The formula for a linear equation with n variables is a0 + a1x1 +... + anxn = c, where x1,..., and xn are variables, the coefficients a0,..., and an are constants, and c is a constant.

When there are multiple variables, the equation might be linear for some of the variables but not for others. The equation x + y = 3 is therefore linear in both x and y, as opposed to x + y2 = 0, which is linear in x but not in y.

We have been asked to find if the equation y-t = n(12 - 11 + 13x) is linear or nonlinear.

W know that a equation is linear if its in the y-intercept form

y = mx + b

Lets simplify the equation and we get

y-t = n(12 - 11 + 13x)

y - t = 12n - 11n + 13nx

y = n + 13nx + t

y = 13nx + (t + n)

This equation is in y-intercept form where

y = y

m = 13n

x = x

b = (t + n)

Thus, The function  y-t = n(12 - 11 + 13x) is linear according to the y-intercept form.

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ANSWER

0.73, 0.92

EXPLANATION

We want to fill the next two terms in the pattern.

The pattern given is:

0.16, 0.35, 0.54

There is a common difference in this pattern (the difference between two successive terms).

To find this, let us subtract the first term from the second:

0.35 - 0.16 = 0.19

This is the same for the third term subtracting the second term:

0.54 - 0.35 = 0.19

Therefore, the next two terms can be gotten by adding 0.19:

0.54 + 0.19 = 0.73

0.73 + 0.19 = 0.92

The next two terms are 0.73 and 0.92.

The function rule for this scenario can be written in slope-intercept form as: y = 6x + 30.

A function rule can be written in slope-intercept form using the unit rate or slope (m), and the starting value/initial value or y-intercept (b). The values of m and b, when determined, are simply plugged into the equation, y = mx + b.

We are given that the design fee that is charged by the cloth designer is a fixed fee of $30. This means that the starting value or y-intercept (m) is 30.

From the problem, we are also given that the additional charge per shirt printed is $6, this also implies that the slope or unit rate (m) of the function is 6.

To write a function rule in slope-intercept form, substitute m = 6 and b = 30 into y = mx + b:

y = 6x + 30.

The function rule for the cost of t-shirt produced based on the number of shirts is expressed as: y = 6x + 30.

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Answer:7

Step-by-step explanation:5x3

5+x=7

2+5=x

Answer: hey could buy one of each and share with his sister

14-5=9

9-2=7

It means move the x three units to the right and the y three units up

Answer:

32768

Step-by-step explanation:

8x8x8x8x8

Answer:8

Step-by-step explanation:

By drawing two equivalent right triangles, we will get:

m∠HIF = 58°

Let's look at the given image.

If we draw a vertical line that comes down from H, then we will form a little right triangle.

And if we draw another line that goes up from I we will get another right triangle, such that these two form a rectangle togheter.

Notice that these two triangles will be equivalent, just inverted.

Then the measure of HIF (the angle at vertex I of the left right triangle) will be equal to IHG (the angle at vertex H of the right triangle).

From that we conclude that:

m∠HIF = 58°

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Charlize will be left over with  95.6% of her total salary if her student loan payments are $325.00 per month for 144 months .

in the question ,

it is given that

Total salary of Charlize = $87655 .

since the pay is annual the student loan payment will also be for 12 months.

amount Charlize pays per month as student loan = $325

So , the amount Charlize spent on loan payment = $325×12

                                                                                  = $3900

Amount left with Charlize after deduction = $87655 - $3900

                                                                     = $ 83755

So the percent of  amount left with Charlize after deduction

= (amount left)/(total salary) × 100

Substituting the values

we get

percent of amount left with Charlize after loan deduction =(83755/87655)*100

= 0.955507*100

= 95.5507

rounding off to the nearest tenth

≈ 95.6 %

Therefore , Charlize will be left over with  95.6% of her total salary if her student loan payments are $325.00 per month for 144 months .

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Answer:

The greatest common factor of

27

and

36

is

9

.

Step-by-step explanation:

One way to find the greatest common factor (GCF) is to list all of the factors for the numbers. Factors are all of the numbers that can be multiplied to get the number listed. We'll start by finding both number's factors.

27

=

1

,

3

,

9

,

27

36

=

1

,

2

,

3

,

4

,

6

,

9

,

12

,

18

,

36

If you are confused on what factors are or need more explanation, go to www.mathisfun.com/numbers/factors=all-tool.html.

Now that we know the factors of both numbers, we want to find the largest factor that both numbers have. If we read through the list, we see that both

27

and

36

share the factors

3

and

9

.

9

is larger, so

9

would be the GCF.

I hope that this helped you. If you have any questions about this problem, message me or go to www.mathisfun.com/greatest-common-factor.html.

The greatest common factor to rewrite 36 + 27 as (4 + 3 ) is 9.

An expression contains one or more terms with addition, subtraction, multiplication, and division.

We always combine the like terms in an expression when we simplify.

We also keep all the like terms on one side of the expression if we are dealing with two sides of an expression.

Example:

1 + 3x + 4y = 7 is an expression.

3 + 4 is an expression.

2 x 4 + 6 x 7 – 9 is an expression.

33 + 77 – 88 is an expression.

We have,

36 + 27

Taking out 9 commons.

9 (4 + 3)

Thus,

The greatest common factor to rewrite 36 + 27 as (4 + 3 ) is 9.

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Conditional probability is the likelihood that any event A will occur in the presence of another event B that is related to A. The possibility of an event or outcome happening contingent on the occurrence of a prior event or outcome is known as conditional probability.

What Sets Conditional Probability Apart from Regular Probability?

The probability of one event happening is examined in probability. The relationship between two occurrences that could happen is examined through conditional probability.

Based on the likelihood that the first event will occur, the probability of the second event happening is examined. The likelihood of the preceding event is multiplied by the probability of the subsequent, or conditional, occurrence to determine the conditional probability.

Conditional probability examines the likelihood of a single event.

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we know that

about the line P

1) the slope is positive, so is greater than zero

2) the y-intercept is negative

therefore

The Solution:

We are required to Use the array strategy to multiply the numbers given below:

Therefore, the correct answer is 28,336

The diametric size of cell H is 3.86 times larger the diametric size of cell K.

How is a ratio determined?
Majority of the explanations for ratio and proportion use fractions. A ratio is a fraction that is expressed as a:b, but a proportion says that two ratios are equal. In this case, a and b can be any two integers. A ratio is a comparison or condensed version of two quantities of the same type. We may determine how many times one quantity is equal to another using this relationship. The ratio can be defined as the number that can be used to represent one quantity as a percentage of another.

Given, the diametric size of cell H, say y = 3.52×10⁻³ cm
The diametric size of cell K, say x =  9.1×10⁻⁴ cm = 0.91×10⁻³ cm
The ratio of the diametric size of H to K, y/x = 3.52×10⁻³/0.91×10⁻³ = 3.86
Thus, y = 3.86x, the diametric size of cell H is 3.86 times the diametric size of cell K.

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Answer:

300

Step-by-step explanation:

I got it correct

The test that will allow you to analyze the differences in blood pressure between groups, after adjusting for age is the one way ANOVA test.

One-way analysis of variance is a statistical approach that can be used to determine if the means of two samples are substantially different or not. One-way ANOVA ("analysis of variance") examines the means of two or more independent groups to see if there is statistical evidence that the related population means differ significantly.

One-way ANOVA is commonly employed when there is a single independent variable, or factor, and the purpose is to determine whether fluctuations or various amounts of that factor have a measurable effect on a dependent variable. This van be used to illustrate the relationship.

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The volume of the sphere that snugly fits into the cylinder of volume 432π cube units is 288 cube units.

It is given that

Therefore, from the image attached we can infer that

Let the radius of the cylinder and the sphere be r units

Let the height of the cylinder be h units.

Hence h = 2r units

We know that the volume of the Sphere is 4/3πr³

The volume of a cylinder is πr²h

= πr² X 2r

= 2πr³ units cube

According to the problem,

2πr³ = 432π

Multiplying L.H.S with 2/3 gives us

4/3πr³ = 2/3 X 432π

or, 4/3πr³ = 288π

or, the volume of the sphere is 288π cube units

288π cube units

Correct Question

A spherical ball fits snugly inside a cylindrical jar so that the ball touches the top and bottom of the jar and the sides of the jar. the volume of the cylinder is 432π what is the volume of the sphere?

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Answer: there is no apparent association between the energy and light output

According to the graph, it observed that at some points, as the energy increases the light out put also increases.

Also, as the energy increases the light out put also decreases

This made me conclude that, there is no apparent association between the energy and light output

Therefore, the best statement that describes the association between the energy and light output is statement J

ANSWER

18.1

EXPLANATION

AC is the shortest leg of triangle CAD. The hypotenuse is AD = 30 and AC is the opposite leg to the given angle, m∠ADC = 37°.

We can find the length of side AC using the sine of the given angle,

Solving for AC,

Hence, the length of AC is 18.1.

2x^2 can be modeled as:

2((x)(x))
2((5)(5))
2(25)
50

The dimensions 36 x 27 inches are too small to allow a 48-inch piece of glass to fit through it.

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The value of x in the given inequality 6x ≤ 18, is S:3 out of all the given options.

The correct answer is S:3.

To solve for x, we divide both sides of the inequality by 6. When dividing by a negative number, we flip the direction of the inequality sign. This gives us x ≤ 3.

Therefore, the possible values of x are 3, 2, 1, 0, and so on. The answer can not be 26, 14, or 7, because those values would make x greater than 3.

Here is the solution in steps:

6x ≤ 18

6x/6 ≤ 18/6 (divide both sides by 6)

x ≤ 3

Therefore, the value of x is 3.

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[tex]\underset{in~degrees}{\textit{sum of all interior angles}}\\\\ S = 180(n-2) ~~ \begin{cases} n=\stackrel{number~of}{sides}\\[-0.5em] \hrulefill\\ n = 4 \end{cases}\implies S=180(4-2)\implies S=360[/tex]

Check the picture below.