a. for any equation containing the variables x and y, the derivative dy/dx can be found by first using algebra to rewrite the equation in the form yf(x). true or false

The probability that all three measurements of the voltage will lie between 116 and 118 is approximately 0.0025.

To solve this problem, we need to standardize the measurements of the voltage to obtain a standard normal distribution. We can do this by subtracting the mean and dividing by the standard deviation:

Z = (X - μ) / σ

where X is the measured voltage, μ = 120 is the mean, σ = 2 is the standard deviation, and Z is a standard normal random variable. We want to find the probability that all three measurements will lie between 116 and 118, which can be written as:

P(116 < X < 118)³ = P((116 - 120)/2 < Z < (118 - 120)/2)³ = P(-2 < Z < -1)³

Using the cumulative distribution function (CDF) of the standard normal distribution, we can find that P(Z < -1) = 1 - P(Z < 1) = 1 - 0.841 = 0.159 and P(Z < -2) = 1 - P(Z < 2) = 1 - 0.977 = 0.023. Therefore, P(-2 < Z < -1) = P(Z < -1) - P(Z < -2) = 0.159 - 0.023 = 0.136. Finally, the probability that all three measurements will lie between 116 and 118 is:

P(-2 < Z < -1)³ = 0.136³ ≈ 0.0025

Therefore, the probability is approximately 0.0025.

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Answer: A

Step-by-step explanation:

Answer:

A is correct

Step-by-step explanation:

9² + 12² = 15²

This would make a right triangle because 81+144=225

That's how the Pythagorean Theorem works for right triangles.

Solving the quadratic equation, it is found that it took 2.5 seconds for the ball to hit the ground.

It is given by:

h(t) = -8t² + 18t + 5.

It hits the ground when h(t) = 0, hence:

-8t² + 18t + 5 = 0.

Which has coefficients a = -8, b = 18, c = 5, then:

\(\Delta = 18^2 - 4(-8)(5) = 484\)

\(x_1 = \frac{-18 + \sqrt{484}}{2(-8)} = -0.25\)

\(x_2 = \frac{-18 - \sqrt{484}}{2(-8)} = 2.5\)

It took 2.5 seconds for the ball to hit the ground.

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Answer:

The perimeter of Elie's vegetable garden is 34 meters.

Step-by-step explanation:

The formula for area is: a=w*l.

A = area

W = width

L = length

If the length is 9 meters, then we know two of the values, the area, and the length. Substitute.

72=w*9

You can divide both sides by 9 to get the width, which is 8 meters.

To find perimeter, we add l+w+l+w, or 2l+2w. Substitute for our values:

2(9)+2(8)=34

The perimeter of Elie's vegetable garden is 34 meters.

The answer is 3x-6=12

3x=12+6

3x=18

Whai is an Isoceles Triangle?

Isoceles Triangle is a triangle that has two sides of equal length or angles of the opposite sides are equal sides and also equal in measure.

So,seeing the triangle above,the two side are equal and the third side is different in length compared to the two equal sides.

The equal sides are 3x-6 and 12 and because of its equal sides,the number of both must be equal to each other

so, 3x-6 will be equal to 12 which takes me to answer x=8

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6 is the numerical value of x in the given diagram.

An isosceles triangle is simply a triangle having at least two equal sides of length and angle.

From the diagram, the side 3x - 6 and side 12 of the isosceles triangle are equal.

Hence, to find the value of x, we equate the two sides.

3x - 6 = 12

Add 6 to both sides

3x - 6 + 6 = 12 + 6

-6 and 6 cancels out

3x = 12 + 6

Add 12 and 6

3x = 18

Divide both sides by 3

3x/3 = 18/3

x = 18/3

Divide 18 by 3

x = 6

Therefore, the value of x is 6.

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Answer:

(3x +7y)(3x-7y)

3²x²-21xy+21xy-7²x²

3²x²-7²y²

9x²-49y²

The probabilities of the possible outcomes obtained from tossing a fair coin two times are;

(a) Pr(0 heads) = 1/4

(b) Pr(1 head) = 1/2

(c) Pr(2 heads) = 1/4

The probability of an event is the ratio of the number of required outcome to the number of possible outcomes.

The equiprobable sample space of tossing a fair coin two times is; {HH, HT, TH, TT}, where;

H = Heads

T = Tails

The sample space indicates that there are 4 possible outcomes

(a) The possibility of getting 0 heads, is to get TT, therefore, the probability of getting zero heads, Pr(0 heads) = TT = 1/4

(b) The possibility of getting 1 head is to get. HT or TH, therefore;

The probability of getting 1 head, Pr(1 heads) = 2/4 = 1/2

(c) The number of possibility of getting 2 heads, is to get HH = 1

Therefore, the probability of getting 2 heads, Pr(2 heads) = 1/4

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Step-by-step explanation:

a. 1

_

8

b. 1

_

7

c. 10

_

21

espero que isso te ajude

Vamos a resolver las operaciones utilizando la regla de multiplicación de fracciones y luego simplificaremos los resultados.

a) \(\sf\:\frac{1}{6} \times \frac{3}{4}\\\)

Para multiplicar estas fracciones, multiplicamos los numeradores entre sí y los denominadores entre sí:

Numerador: \(\sf\:1 \times 3 = 3\\\)

Denominador: \(\sf\:6 \times 4 = 24\\\)

Entonces, \(\sf\:\frac{1}{6}\:\times\:\frac{3}{4} = \frac{3}{24}\\\)

Podemos simplificar esta fracción dividiendo tanto el numerador como el denominador por el máximo común divisor, que en este caso es 3:

\(\sf\:\frac{3}{24} = \frac{3 \div 3}{24 \div 3} = \frac{1}{8}\\\)

Por lo tanto, el resultado simplificado es \(\sf\:\frac{1}{8}\\\).

b) \(\sf\:\frac{1}{2} \times \frac{2}{7}\\\)

Aplicando la regla de multiplicación de fracciones:

Numerador: \(\sf\:1 \times 2 = 2\\\)

Denominador: \(\sf\:2 \times 7 = 14\\\)

Entonces, \(\sf\:\frac{1}{2} \times \frac{2}{7} = \frac{2}{14}\\\)

Podemos simplificar esta fracción dividiendo tanto el numerador como el denominador por el máximo común divisor, que en este caso es 2:

\(\sf\:\frac{2}{14} = \frac{2 \div 2}{14 \div 2} = \frac{1}{7}\\\)

Por lo tanto, el resultado simplificado es \(\sf\:\frac{1}{7}\\\).

c) \(\sf\:\frac{4}{7} \times \frac{5}{6}\\\)

Siguiendo la regla de multiplicación de fracciones:

Numerador: \(\sf\:4 \times 5 = 20\\\)

Denominador: \(\sf\:7 \times 6 = 42\\\)

Entonces, \(\sf\:\frac{4}{7} \times \frac{5}{6} = \frac{20}{42}\\\)

Podemos simplificar esta fracción dividiendo tanto el numerador como el denominador por el máximo común divisor, que en este caso es 2:

\(\sf\:\frac{20}{42} = \frac{20 \div 2}{42 \div 2} = \frac{10}{21}\\\)

No podemos simplificar aún más esta fracción, por lo que el resultado simplificado es \(\sf\:\frac{10}{21}\\\).

Resumiendo las respuestas:

a) \(\sf\:\frac{1}{6} \times \frac{3}{4} = \frac{1}{8}\\\)

b) \(\sf\:\frac{1}{2} \times \frac{2}{7} = \frac{1}{7}\\\)

c) \(\sf\:\frac{4}{7} \times \frac{5}{6} = \frac{10}{21}\\\)

a parabola with symmetry or mirror image across the x-axis, will be a horizontal parabola, namely one that opens either to the right or left.

a horizontal parabola will be a parabola whose independent variable is the "y", so it'll be an x(y) type of equation.

\(~~~~~~\textit{horizontal parabola vertex form} \\\\ x=a(y- k)^2+ h\qquad \begin{cases} \stackrel{vertex}{(h,k)}\\\\ \stackrel{"a"~is~negative}{op ens~\supset}\qquad \stackrel{"a"~is~positive}{op ens~\subset} \end{cases} \\\\[-0.35em] ~\dotfill\\\\ \begin{cases} h=0\\ k=0 \end{cases}\implies x=a(y-0)^2+0\qquad \textit{we also know that} \begin{cases} x=5\\ y=6 \end{cases} \\\\\\ 5=a(6-0)^2 +0\implies 5=36a\implies \cfrac{5}{36}=a~\hfill \boxed{x=\cfrac{5}{36}y^2}\)

Answer:

52

Step-by-step explanation:

Answer:

52

Step-by-step explanation:

The top has 6 faces, so 6 x 2 = 12

The bottom has the same, 12

The left side has 3, 3 x 2 = 6

The front and inside has 6, x 2 = 12

The right side has 2 x 2 = 4

The back has 3 x 2 = 6

12 + 12 + 6 + 12 + 4 + 6 = 52

It would take 11.25 hours after leaving his house until the phone's battery level got down to 31.5%.

According  to given conditions :

To determine how many hours after leaving his house it would take until the phone's battery level got down to 31.5%, we need to use the information provided in the table to find the equation of the line that represents the relationship between B and t. We can then use this equation to solve for the value of t when B is 31.5%.

To find the equation of the line, we can use the two points (1.5, 38.25) and (9, 9). The slope of the line is:

slope = (B2 - B1) / (t2 - t1) = (9 - 38.25) / (9 - 1.5) = -29.25 / 7.5 = -3.9

The equation of the line in point-slope form is:

B - 38.25 = -3.9(t - 1.5)

Simplifying, we get:

B = -3.9t + 44.1

Now we can solve for the value of t when B is 31.5%. Setting B to 31.5% (or 0.315) and solving for t, we get:

0.315 = -3.9t + 44.1

-3.9t = -43.785

t = 11.25

Therefore, it would take 11.25 hours after leaving his house until the phone's battery level got down to 31.5%.

What is percentage ?

A percentage is a number or ratio expressed as a fraction of 100. The symbol used to represent percentages is "%". Percentages are used to compare values and express proportions. For example, if a group of 100 people includes 60 men and 40 women, we can say that the percentage of men in the group is 60%, and the percentage of women is 40%.

To calculate a percentage, we divide the value we want to express as a percentage by the total value, and then multiply by 100. For example, if we want to express 25 as a percentage of 100, we divide 25 by 100 to get 0.25, and then multiply by 100 to get 25%. Similarly, if we want to find what percentage of 200 is 50, we divide 50 by 200 to get 0.25, and then multiply by 100 to get 25%.

Percentages are used in many different fields, including finance, science, and statistics, as well as everyday life. For example, we might use percentages to calculate the amount of tax on a purchase, to compare the results of scientific experiments, or to track the progress of a fundraising campaign.

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The compound inequality for the given situation is $2.75x + $4.25y ≥ $65 and $2.75x + $4.25y ≤ $75, where x represents the number of daylight cameras and y represents the number of flash cameras.

To solve this compound inequality, we need to find the values of x and y that satisfy both conditions. The inequality $2.75x + $4.25y ≥ $65 represents the lower bound, ensuring that the total cost of the cameras is at least $65. The inequality $2.75x + $4.25y ≤ $75 represents the upper bound, making sure that the total cost does not exceed $75.

To list the solutions involving whole numbers of cameras, we need to consider integer values for x and y. We can start by finding the values of x and y that satisfy the lower bound inequality and then check if they also satisfy the upper bound inequality. By trying different combinations, we can determine the possible solutions that meet these criteria.

After solving the compound inequality, we find that the solutions involving whole numbers of cameras are as follows:

(x, y) = (10, 10), (11, 8), (12, 6), (13, 4), (14, 2), (15, 0), (16, 0), (17, 0), (18, 0), (19, 0), (20, 0).

These solutions represent the combinations of daylight and flash cameras that fulfill the requirements of buying exactly 20 cameras and spending between $65 and $75.

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Answer:

1. (c) 268

2. (d) above the 3rd quarter

3. (a) 210

4. (c) 240 pounds to 300 pounds

I hope this helps you

Answer:

C) 157 \(cm^3\)

Step-by-step explanation:

\((3.14)5^2*6/3= 157\)\(cm^3\)

Hope this helped! :)

about 91 % of the players are weighing 245 kg or less than 245kg.

Total number of students = 40 players

Minimum weight = 152 pounds

Third quartile (Q3) = 245

We have to find the percentage of students that are weighing 245 kg or less than it.

About 10 of the intervals out of the 11-coverage interval of the box plot fall between 152 and 254; so,

= (10 / 11) * 100

= 90.90

= about 91 % of the total students are weighing 245 kg or less than it.

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Answer:

5 nickels

Skills needed: Coins and Money

Step-by-step explanation:

1) We need to understand the different coins in the problem.

There is a nickel in the problem.

The problem states that:

- A nickel is \(\$0.05\) which is \(5 \text{ } cents\)

From above: A nickel is 5 cents.

2) After understanding the coin values, we need to understand what the problem is asking. It asks how many nickels Sam has if he has $0.25 (25 cents) in nickels.

---> In other words: How many nickels make up 25 CENTS?

- We can use division for that:

\(25 \text{ } cents \div 5 \text{ } cents = nickels\)

(The amount of money divided by the money value of a nickel will equal the number of nickels).

---> 25 divided by 5 is 5.

5 would be your answer.

Answer:

31.72

Step-by-step explanation:

100-35=65

100%->48.80

65%->31.72

Answer:

Step-by-step explanation:

...exactly the same but with a different sign separating them. For example, if a root of a polynomial is

3 + 4i, then the other root has to be 3 - 4i because they always come in pairs. Always!! If a root is -2 - 3i, then the other root has to be -2 + 3i. Notice that the only sign that will change is the one that separates the a part of the complex number from the b part.

This phenomenon also applies to radicals. If we have a root that is \(-3 + \sqrt{5}\)\(-3 +\sqrt{5}\) then the other root has to be \(-3 -\sqrt{5}\)

Answer:

x-3i

Step-by-step explanation:

Answer:

1/2 or 0.5 dollars per kg of apples

The first thing to do is to find out how much a kg of apples sells for, since the question is only asking for the selling amount of a single kg. Nothing else. Each trip gets 300 dollars and delivers fifty packs. So each Pack, or P = 300/50, or P = 6 dollars

And each pack contains 12 kg of apples, so if P = 6 dollars and P = 12 kg of apples, then 6 dollars = 12 kg of apples

then 1 kg apples = 6/12, or 1/2.

So a single Kg of apples cost 0.5 dollars

The mean value of the given data set is 31.333. To find the mean value of the given data set (10, 10, 20, 26, 30, X), we first need to determine the missing value, denoted as X, using the given range of 40.

Since the range is the difference between the maximum and minimum values, we can set up the equation:

Maximum value - Minimum value = Range

X - 10 = 40

Solving for X, we find X = 50.

Now that we have the complete data set (10, 10, 20, 26, 30, 50), we can calculate the mean. Summing up all the values and dividing by the total number of values (6), we find the mean to be 31.333 (rounded to three decimal places).

In conclusion, the mean value of the given data set is 31.333.

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The linear equation that describes the total wait time(y) based on the number of family groups in the line(x) is given by:

\(y = 3.5x\)

A linear equation is modeled by:

\(y = ax + b\)

In which:

In this problem:

Hence, the equation is:

\(y = 3.5x\)

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In the given project, students are required to work in the same groups as in Project 1 to study and understand the workings of a 7-segment display counter.

The main task for each group is to design a number generator (RNG) using only electronic components. This RNG should be able to predictably display 3-digit numbers on the 7-segment display. The term "predictably display" implies that the generated numbers should follow a specific pattern or sequence, making it possible to anticipate the upcoming numbers.

This project helps students gain practical experience in designing electronic circuits and understanding the functionality of 7-segment displays.

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Answer:

60m^2

Step-by-step explanation:

15.1×10.3=155.53

155.53÷2=77.765

2.8×6.5=18.2

77.765-18.2= 59.565

rounded to nearest 10th = 60m^2

Answer:

I'm unable to understand your question please write it properly

The hiker plans a trip in two sections, with her destination being 18 km away on a bearing of N63'E from her starting position. The first leg of the trip is on a bearing of N13E. We need to find the length of the first leg.

To find the length of the first leg, we can use trigonometry. Since the bearing is given as an angle relative to the North direction, we can break it down into its components using the right-angled triangle formed by the bearing and the North direction.
In this case, the bearing of N13E can be broken down into a North component (opposite to the angle) and an East component (adjacent to the angle). The North component can be found using the formula: North component = length of leg * sin(bearing angle). The East component can be found using the formula: East component = length of leg * cos(bearing angle).
Once we have the North and East components, we can use them to find the length of the first leg using the Pythagorean theorem: Length of first leg = sqrt((North component)^2 + (East component)^2).
Therefore, to find the length of the first leg, we can follow these steps:
1. Calculate the North component: North component = length of leg * sin(bearing angle).
2. Calculate the East component: East component = length of leg * cos(bearing angle).
3. Calculate the length of the first leg using the Pythagorean theorem: Length of first leg = sqrt((North component)^2 + (East component)^2).
By substituting the given values, we can find the length of the first leg.

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Evidence is used in proofs to support a claim.

It should be noted that evidence simply means a claim that's is used to support a proposition that's it's true.

In this case, evidence is used in proofs to support a claim. On the other hand, counterexample is used to disprove a theory.

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The correct answer is option (c): computed value. Whenever a percentage, average or some other analysis value is computed with a sample's data, we refer to it as a computed value.

When analyzing data from a sample, we often calculate various statistical measures to summarize and make inferences about the population from which the sample is drawn. These measures can include percentages, averages, and other analysis values.

Option a. "A designated statistic" is not the appropriate term because it implies that the statistic has been assigned a specific role or designation, which may not be the case. The computed value is not necessarily designated as a specific statistic.

Option b. "A sample finding" is not the most accurate term because it suggests that the computed value represents a specific finding from the sample, whereas it is a general statistical measure derived from the sample data.

Option d. "A composite estimate" is not the best choice because it typically refers to combining multiple estimates to obtain an overall estimate. Computed values are individual measures, not a combination of estimates.

Therefore, the most suitable term is c. "Computed value," as it accurately describes the process of calculating statistical measures from sample data. It signifies that the value has been derived through mathematical calculations based on the data at hand.

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Basic perimeter is really easy to understand;

Step-by-step explanation:

10 x 8 = 80 in.

80 in. is your answer! Please mark brainliest and have a great day! :D

Answer:

17.25

Step-by-step explanation:

You already know y = 72, so you could rewrite the equation to 72 = 4x + 3. To get to the answer, you need to find what X is. What you should do is subtract 3 from both sides, get 69, divide by 4 on both sides and get 17.25

I'm not sure if this is correct, but I hope this helped.