Which equation represents a line which is parallel to the line y-7x= -2

The variable of interest in observational studies is not controlled. Option D is correct.

Observational studies are a type of study in which the researcher observes and records data without interfering with or manipulating the variables of interest. In observational studies, the researcher does not intervene or control the variables being studied, but instead, collects data by observing the natural behavior or characteristics of the study subjects.

Observational studies are useful in many fields, including medicine, psychology, sociology, and economics. They are often used to explore potential relationships between variables, to identify risk factors for diseases, to investigate the effectiveness of interventions, and to study social phenomena.

Observational studies have advantages and disadvantages. One advantage is that they can provide valuable information about real-world behavior and characteristics of individuals or groups. Therefore, it is important to carefully design and analyze observational studies to ensure that the results are accurate and reliable.

Hence, D.is not controlled is the correct option.

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Answer:

25 girls

Step-by-step explanation:

We Know

The ratio of boys to girls is 4:5. For every 4 boys, there are 5 girls.

To get from 4 to 20, we multiply by 5.

We Take

5 x 5 = 25 girls

So, there are 25 girls in class.

Answer: 25 girls are in the class

Step-by-step explanation: You can set up the ratio 4:5 as a fraction, \(\frac{4}{5}\) to find your answer. You are given the fact that 20 boys are in the class so now you can solve 2 ways.

Option 1 - Set up the equation algebraically as \(\frac{20}{x}\), where x = number of girls and set that equal to \(\frac{4}{5}\). This way allows you to see that the fraction must have the same ratio as 4:5. You can see that 4 x 5 = 20, so the multiple factor is 5. The variable x must equal 5 x 5, so x = 25.

Option 2 - Multiply the amount of boys given to you by the reciprocal of the ratio. Instead of using \(\frac{4}{5}\), you have to use \(\frac{5}{4}\) because there are more girls than boys in the class. This allows you to finish the problem by multiplying 20 x \(\frac{5}{4}\) to get the result of \(\frac{100}{4}\), which you may know simplifies into 25.

Considering that each input is related to only one output, the correct option regarding whether the relation is a function is:

A. yes.

A relation represents a function when each value of the input is mapped to only one value of the output.

For this problem, we have that:

There are no repeated inputs, hence the relation is a function and option A is correct.

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Answer:

a=40

Step-by-step explanation:

the formula for parallelograms is

a=base x height

which the base is 10 and the height is 4

so then

a= 4 x 10

Answer:

30 in squared

Step-by-step explanation:

took test! brainlest? <3

The probability of selecting exactly three clubs from a standard deck is 0.088. Where n = 5; p = 0.25; q = 0.75; and x = 3 . It is calculated by using binomial probability.

The binomial probability formula is

P(X = x) = ⁿCₓ pˣ q⁽ⁿ⁻ˣ⁾ = \(\frac{n!}{(n-x)!x!} p^xq^{(n-x)}\)

Where n is the number of trials, p i is the probability of success, and q is the probability of failure.

And q = 1 - p

It is given that, a card is selected from a standard deck and replaced.

This experiment has repeated a total of five times. i.e., trials n = 5

So, the probability of success is p = 1/4 = 0.25

(Since one card is to be selected from the five trials where each time the card is replaced)

Then, the probability of failure is q = 1 - 0.25 = 0.75

And it is given that we need to find the probability of selecting exactly three clubs. So, the required random variable is x = 3.

Then, using the binomial probability formula, we get

P(X = x) = ⁿCₓ pˣ q⁽ⁿ⁻ˣ⁾

⇒ P(X = 3) = ⁵C₃ p³q⁽⁵⁻³⁾ = ⁵C₃(0.25)³(0.75)² = 0.0878

On rounding off, we get the required probability as 0.088.

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The process is an isochoric process. Then the tire pressure change in response to the change in temperature is 2.65 atm.

It is a branch of science that deals with heat and work transfer.

An automobile tire at 30.0°C has a pressure of 3.00 atm.

The temperature decreases to -5.00°C.

Assume that there is no volume change in the tire.

Then for the constant volume process, we have

\(\dfrac{P_1}{P_2} = \dfrac{T_1}{T_2}\\\\\dfrac{3}{P_2} = \dfrac{303}{268}\\\\P_2 \ = 3\times \dfrac{268}{303}\\\\P_2 \ = 2.65\)

The tire pressure change in response to the change in temperature is 2.65 atm.

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Answer:

How does the tire pressure change in response to the temperature change?

✔ decreases

What is the new pressure of the tire after the temperature change?

2.65 ✔ atm

Step-by-step explanation:

Got it right on edge

Answer: 1, 3, 5, 7, 9, . . . . , 37. Therefore, 361 is the sum of first 19 odd numbers.

Step-by-step explanation:

Answer:

Step-by-step explanation: first we need to add 4 to 48 with will give us 52, then if we divide 52 by 4 we will get the answer for the price per pizza, 52 divided by 4 is 13 with means that Mr. Lee paid 13 dollars per pizza.

Hence, Kate collected 11/4 bins of bottles.

gather, collect, assemble, congregate mean to come or bring together into a group, mass, or unit. gather is the most general term for bringing or coming together from a spread-out or scattered state. collect often implies careful selection or orderly arrangement.

Albert collected 1/2 of a bin of glass bottles to recycle. Kate collected 5 1/2 times as many bins as Albert. How many bins of bottles did Kate collect?

Albert collected 1/2 bin of glass bottles to recycle.The number of bins Kate collected is represented by b. Kate collected 5 1/2 times as many bins as Albert, so:b = 5 1/2(1/2)Multiplying both sides by 2 gives:b × 2 = 11/2 b

Simplifying the left side gives:2b = 11/2

Multiplying both sides by 1/2 gives:

b = 11/4

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\(\huge\underline{\red{A}\blue{n}\pink{s}\purple{w}\orange{e}\green{r} -}\)

We know that ,

\(Volume \: of \: cone = \frac{1}{3}\pi \: r {}^{2} h \\ \)

substituting the values in the formula ,

\(Volume = \frac{1}{3} \times 3.14 \times 9 \times 9 \times 13 \\ \\ \implies \: 1.05 \times 81 \times 13 \\ \\ \implies \: 1105.65 \: mm {}^{3} \)

hope helpful ~

Answer:

x=24

y=7

Step-by-step explanation:

Let's start by setting up a ratio. We can set up a ratio using the given length of the hypotenuse of both triangles.

25:50=1:2

We can use this ratio to set up an equation since we know that the length of a side of the smaller triangle to the length of a side of the larger triangle is 1:2

2x=48 (This is because we are given the length of the side of the larger triangle is 48, and since the ratio of the smaller triangle to the larger triangle is 1:2, two times the length of a side of the smaller triangle is the length of a side of the larger triangle)

Divide both sides by 2

x=24

2y=14

Divide both sides by 2

y=7

x=24

y=7

To find the zeros of a polynomial, set the polynomial equal to zero and solve for the variable.

To find the zeros of a polynomial, follow these step-by-step instructions:

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Answer:

False.

Step-by-step explanation:

Counterclockwise is different from Clockwise.

Answer:

False

Step-by-step explanation:

They are rotating a different direction

The vertical line that splits the parabola in half is called the "axis of symmetry."

The line of symmetry that divides a parabola in half as "The axis of symmetry of a parabola is a vertical line that divides the parabola into two congruent halves. The axis of symmetry always passes through the vertex of the parabola".

A parabola is an approximately U-shaped, mirror-symmetrical plane curve. It corresponds to a number of seemingly unrelated mathematical descriptions, all of which can be shown to define the same curves. A parabola can be described using a point and a line. Three different parabolas exist. Vertex form, standard form, and intercept form are the three forms. You can access a unique key feature for the graph on each form. A parabola's general equation is written as y = a(x - h)² + k or x = a(y - k)²+ h. Vertex here is indicated by (h, k).

Therefore, The vertical line that splits the parabola in half is called the "axis of symmetry."

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The term that fills in the blank is axis of symmetry.

When graphing a parabola, the vertical line that splits the parabola in half is called the axis of symmetry. The axis of symmetry is a vertical line that passes through the vertex of the parabola. It divides the parabola into two symmetrical halves.

The equation of the axis of symmetry can be found using the formula x = -b/2a, where a and b are coefficients of the quadratic equation in standard form.

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Answer:

5

Step-by-step explanation:

8*5=40  and then 20 short answer that are 3 each. that makes up the rest of the 60 points

Answer:

There would be 5 multiple choice questions

Step-by-step explanation:

5x8=40

20x3=60

25 questions for total of 100 points

Answer:

10 percent

Step-by-step explanation:

Since the increase is 2 dollars, you divide 20 by 2 to see the percent increase. This equals ten percent.

Hope this helps! Happy friday:)

Answer:

Percent Increase = 10%

Step-by-step explanation:

$22-$20

= $2

Use percentage formula (percentage = increase in price *100 / Initial price)

2*100 / 20

= 200/20

= 10

To find the cosine of the angle between two planes, we first need to find the normal vectors of each plane. The normal vector of the plane x + y + z = 0 is <1, 1, 1> and the normal vector of the plane x + 3y + 5z = 5 is <1, 3, 5>.

Using the dot product formula, we can find the cosine of the angle between the two normal vectors:

cos(theta) = ( <1, 1, 1> dot <1, 3, 5> ) / ( ||<1, 1, 1>|| ||<1, 3, 5>|| )

= (1*1 + 1*3 + 1*5) / (sqrt(1^2 + 1^2 + 1^2) * sqrt(1^2 + 3^2 + 5^2))

= 9 / (sqrt(3) * sqrt(35))

Simplifying this expression, we get:

cos(theta) = 3sqrt(15) / 35

Therefore, the cosine of the angle between the planes x + y + z = 0 and x + 3y + 5z = 5 is 3sqrt(15) / 35.
To find the cosine of the angle between the planes x + y + z = 0 and x + 3y + 5z = 5, we can use the formula for the angle between two planes: cos(θ) = (n1 • n2) / (||n1|| ||n2||), where n1 and n2 are the normal vectors of the planes, and • represents the dot product.

For plane 1 (x + y + z = 0), the normal vector n1 is (1, 1, 1).
For plane 2 (x + 3y + 5z = 5), the normal vector n2 is (1, 3, 5).

First, find the dot product of n1 and n2: n1 • n2 = (1*1) + (1*3) + (1*5) = 1 + 3 + 5 = 9.

Next, find the magnitudes of n1 and n2:
||n1|| = √(1^2 + 1^2 + 1^2) = √3.
||n2|| = √(1^2 + 3^2 + 5^2) = √(1 + 9 + 25) = √35.

Finally, calculate the cosine of the angle:
cos(θ) = (n1 • n2) / (||n1|| ||n2||) = 9 / (√3 * √35) = 9 / (√105).

So, the cosine of the angle between the planes is 9/√105.

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Answer:

136

Step-by-step explanation:

divide 1020 by 15 = 68. 68 x 2 is 136

Therefore,  the probability that  basketball  will weigh between 20.5 and 23.5 is 0.866

Probability is the concept that describes the likelihood of an event occurring. In real life, we frequently have to make predictions about how things will turn out. We may be aware of the result of an occurrence or not. When this is the case, we refer to the likelihood that the event will occur or not.

Here,

X υ N (22,1)

Probability that  basketball  will weigh between 20.5 and 23.5

is:

=> P(20.5 < x < 23.5)= P[ 20.5-22/1 < z < 23.5-22/ 1   ]

=>   P(20.5 < x < 23.5) = P(-1.5 < z < 1.5)

=>  P(20.5 < x < 23.5) = 0.866

Therefore,  the probability that  basketball  will weigh between 20.5 and 23.5 is 0.866

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Answer:

A. 5 units

Step-by-step explanation:

since the y-coordinate is the same, then you would subtract the x-coordinates.

-6-(-1)=5

hope this helps, have a nice day :)

Answer:

D.

Step-by-step explanation:

hope it's helppp

hopefully you

One possible equation for the function shown in the table is:

y = 10 * (0.5)^x

This equation represents an exponential function with a base of 0.5 (i.e. each value is half of the previous value) and an initial value of 10 (i.e. y = 10 when x = 0).

To verify this equation, we can plug in the x-values from the table and see if we get the corresponding y-values:

- When x = 0: y = 10 * (0.5)^0 = 10 * 1 = 10 (matches the table)

- When x = 1: y = 10 * (0.5)^1 = 10 * 0.5 = 5 (matches the table)

- When x = 2: y = 10 * (0.5)^2 = 10 * 0.25 = 2.5 (matches the table)

- When x = 3: y = 10 * (0.5)^3 = 10 * 0.125 = 1.25 (matches the table)

- When x = 4: y = 10 * (0.5)^4 = 10 * 0.0625 = 0.625 (matches the table)

Therefore, the equation y = 10 * (0.5)^x represents the function shown in the table.

Hope this helps if can

The probability that a randomly selected point within the circle falls in the red-shaded square is: 0.50

The formula for the area of a circle is:

A = πr²

where:

A is area

r is radius

Thus:

A = π * 4²

A = 50.265 unit²

Area of square = side * side

Area = 5 * 5

Area = 25 unit²

Thus:

P(selected area falls in the read square) = 25/50.265

P(selected area falls in the read square) = 0.497 ≈ 0.50

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Answer:

17%

Step-by-step explanation:

Hello!

Out of the 6 options, only 1 option will be correct. This can be represented as a ratio of 1:6.

If you randomly guess, there is an equal chance of choosing any of the 6 options.

To find the percentage of guessing the correct option, simply divide 1 by 6 (1 option is correct out of 6), and multiply the outcome by 100 (for percentage).

The probability of getting an answer correct would be 17%.

The probability of getting an answer wrong would be 83%, which can be found by subtracting 17% from 100%.

Answer:

-2

Step-by-step explanation:

3*(-2)=-6

-6*(-2)=12

12*(-2)=-24

Answer:

3 2/3 square feet.

Step-by-step explanation:

You just need to multiply 6 and 4 2/3. To do this you have to change both of them into improper fractions so 6 would be 21/3 and 4 2/3 would be 14/3. If you cross cancel the 21/3 will become 7/3 and the 14/3 will become 14/1. Now you have to multiply across and you should get 98/3. To change the improper fraction into a mixed number you have to divide 98 and 3 so you can get 3 2/3. Therefore, the answer to the area of the quilt is 3 2/3 square feet.

Answer:

1:7

Step-by-step explanation:

The probability that the mean of a sample of 106 randomly selected humans is lower than 98.5°F is 4.85%

An equation is an expression that shows the relationship between two or more numbers and variables.

Z score is given as:

z = (raw score - mean) ÷ (standard deviation/√sample size)

Given mean of 98.6°F,  standard deviation is 0.62°F, sample size = 106

For x < 98.5:

z = (98.5 - 98.6) ÷ (0.62÷√106) = -1.66

P(z < -1.66) = 0.0485

The probability that the mean of a sample of 106 randomly selected humans is lower than 98.5°F is 4.85%

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