I need the equation ​

Answer:

The answers are

A - She used the wrong coefficient for X in her Inequality.

B- NO

C- She interpreted the graph incorrectly.

D-NO

Step-by-step explanation:

Answer:

A and C

Step-by-step explanation:

Took test on edge :)

Answer: The volume of the circular swimming pool to the nearest cubic meter is 151 \(m^{3}\).

Step-by-step explanation: According to the question the swimming pool is in the shape of a cylinder, and the top is circular having a radius and depth.
To calculate the volume of a cylinder(pool) we will use the formula for the volume of a cylinder:
The radius of the cylinder = 4 m
height h=3
The volume of the cylinder (V) = \(\pi r^{2} h\)
=\(\pi (4)^{2} *3\)
Plugging π =3.142
= 3.14*16*3
=150.72 \(m^{3}\)
rounding off to the nearest cubic meter
=151 \(m^{3}\)
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Answer:

you use

total animal = 2c+4w

c for chicken they have two legs

w for caw " " " " four leg

The square root that could be the number shown on the number line is √17

On the number line, the position of the point is

Point = 4.1

Square both sides of the above equation

So, we have"

Point^2 = 4.1^2

This gives

Point^2 = 16.81

Approximate

Point^2 = 17

Hence, the square root that could be the number shown on the number line is √17

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Answer:

9.99m

Step-by-step explanation:

d≈9.99m

C Circumference

31.4m

Using the formulas

C=2πr

d=2r

Solving ford

d=C

π=31.4

π≈9.99493m

Hey there!

18 = -k + 3

-k + 3 = 18

-1k + 3 = 18

SUBTRACT 3 to BOTH SIDES

-1k + 3 - 3 = 18 - 3

SIMPLIFY IT!

-1k = 18 - 3

-1k = 15

DIVIDE -1 to BOTH SIDES

-1k/-1 = 15/-1

SIMPLIFY IT!
k = 15/-1

k = -15

Therefore, the answer is: k = -15

Good luck on your assignment & enjoy your day!

~Amphitrite1040:)

In each of the following scenarios, researchers plan to conduct either a hypothesis test for a population mean or for the difference between two population means conditions not met for Scenario 1, and conditions met for Scenarios 2 and 3.

a. Conditions not met; do not proceed with the hypothesis test. Since the distribution is strongly skewed to the right, the sample size should be much larger (i.e., n > 100) for the t-model to be valid.

b. Conditions not met; do not proceed with the hypothesis test. Since the distribution is strongly skewed for females, the sample size of 37 is too small for the t-model to be valid.

c. Conditions met; proceed with the hypothesis test. Since both distributions are fairly normal and the sample sizes for males and females are each 100, the t-model can be used.

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The question is -

In each of the following scenarios, researchers plan to conduct either a hypothesis test for a population mean or for the difference between two population means. Are the conditions for use of a T-model met?

1. In a random sample of 100 university students, the distribution of time spent at university recreational facilities is strongly skewed to the right.

2. In a random sample of 50 university students (37 females and 13 males), the distribution of time spent at university recreational facilities is strongly skewed to the right for females but not strongly skewed for males.

3. In a study of 100 brother-sister sibling pairs at the university, the distribution of time spent at university recreational facilities for the 100 males is compared to the 100 females; both distributions are fairly normal.

Answer:

32 miles

Step-by-step explanation:

I just took away 16 from 48 and I got 32

Answer:

16 + x = 48; x = 32 miles

Step-by-step explanation:

because the total is 48 miles that is on the right with an equal sign to the left of it

the x represents how much left she has to travel

she already traveled 16 miles so you add that to x on the left

16 + x = 48

then you can subtract 16 on both sides and be left with 32 miles

Convenience sampling is not a type of statistical sampling.

What is statistical sampling?

Sampling techniques in a statistical study refer to how participants are chosen from the population to participate in the study.

If a sample isn't chosen at random, it will likely be skewed in some way, and the results might not be generalizable.

Main body:

Simple random sample:

Each individual and group of individuals have the same chance of being selected for the sample. To obtain a basic random sample, one needs technology, random number generators, or some other type of chance mechanism.

stratified Random sample :

The population is first divided into sections. There are some people from each group in the overall sample. Each group's participants are chosen at random.

Cluster sampling:

Grouping the population first, a cluster random sample is taken. Every member of some of the groups makes up the overall sample. The selection of the groups is random.

Hence Convenience sampling is not a type of statistical sampling.

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The expected activity time for the given statement is = 5.33

The average amount of time required for an activity when it is repeatedly performed is known as the expected time. The weighted average of the three estimated times, i.e., the optimistic time, the most probable time, and the pessimistic time, is used in project management analysis to determine the expected time of activity.

A network model called the Program Evaluation and Review Technique (PERT) allows for randomness in the timing of activity completion. PERT was created in the late 1950s again for a massively labor-intensive Polaris project for the US Navy. It might shorten a lot of time and cost needed to finish a project.

optimistic = 2

most likely = 5

pessimistic = 10.

We will use the following formula to calculate the anticipated time for each activity in order to solve this problem:

Expected Time = (Optimistic Time + (4 x Most likely) + Pessimistic Time) / 6

Putting the values into formula:

= (2 + (4 x 5) + 10)/ 6

= (2 + 20 + 10) / 6

= 5.33

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Answer:

x = 4 or x = - \(\frac{5}{7}\)

Step-by-step explanation:

Given

(2x - 8)(7x + 5) = 0

Equate each factor to zero and solve for x

2x - 8 = 0 ⇒ 2x = 8 ⇒ x = 4

7x + 5 = 0 ⇒ 7x = - 5 ⇒ x = - \(\frac{5}{7}\)

Answer:

6 rooms

Step-by-step explanation:

20+12x=30+10x

12-10=2

20+2x=30

30-20=10

2x=10

10/2=5

5 rooms to make them equal so 6 rooms to make captain datalot more

The inequality is 20+12x> 30 +10x.

A statement of an order relationship—greater than, greater than or equal to, less than, or less than or equal to—between two numbers or algebraic expressions.

Given:

Captain Dustsalot charges

$20 per house call

$ 12 per room

Dedusters charges

30 per house call

$10 per room

let  x represents the number of rooms she gets dusted.

so, inequality that represents rooms she must get dusted so that Captain Dustsalot is more expensive than Dedusters.

20+12x> 30 +10x

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The standard parametric equations for the line passing through points P and Q is \($\begin{cases} x = -6 + 2t \ y = 8 - 7t \ z = 1 + 2t \end{cases}$\) .

To find the standard parametric equations for the line passing through points P(-6, 8, 1) and Q(-4, 1, 3), we first need to find the direction vector of the line. This can be done by subtracting the coordinates of point P from the coordinates of point Q:

\($\vec{PQ} = \begin{pmatrix}-4 \ 1 \ 3\end{pmatrix} - \begin{pmatrix}-6 \ 8 \ 1\end{pmatrix} = \begin{pmatrix}2 \ -7 \ 2\end{pmatrix}$\)

Now we can write the parametric equations in the form:

\($\begin{cases} x = x_0 + at \ y = y_0 + bt \ z = z_0 + ct \end{cases}$\)

where (x0, y0, z0) is a point on the line and (a, b, c) is the direction vector.

We can choose either point P or Q as the point on the line. Let's use point P. So we have:

\($\begin{cases} x = -6 + 2t \ y = 8 - 7t \ z = 1 + 2t \end{cases}$\)

These are the standard parametric equations for the line passing through points P and Q.

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Answer:

the circumstance would be 21.99

the area is 38.48

Step-by-step explanation:

radius is half the diameter so your radius is 3.5

The area of a circle is pi times the radius squared (A = π r²) which for you would be A = 3.14 × 3.5²

circumference is found by multiplying 2 times pi times the radius (C = 2πr) which for you would be C = 2 × 3.14 × 3.5

Answer:

L = \(\frac{P - 12}{2}\)

Step-by-step explanation:

Since perimeter is 2L + 2W, and width is 6, then P = 2L + 2*6, and solving for L gives you (P - 12)/2

Hopefully this helps- let me know if you have any questions!

The value of P(A | B) is a) 0.4878.

We have been given the following information:

A and B are events in a sample space S such that P(A) = 0.38, P(B) = 0.41, and P(A ∩ B) = 0.20.

We need to find P(A | B), which represents the probability of event A occurring given that event B has occurred.

The conditional probability formula states that P(A | B) = P(A ∩ B) / P(B).

By substituting the given values, we can calculate:

P(A | B) = 0.20 / 0.41 ≈ 0.4878.

Therefore, the value of P(A | B) is approximately 0.4878, which corresponds to option (a).

Hence, option (a) is correct.

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The total cost of repayment over 5 years is $23,300.

A loan repayment refers to the act of paying back money previously borrowed from a lender.

To get total cost of repayment, we must principal amount, the interest rate and the duration of the loan.

The formula to get total cost of repayment is given by \(Total Cost of Repayment = Principal + Interest\)

Interest = Principal * Interest Rate * Time

Given:

Principal amount is $20,000

Interest rate is 3.3%

Duration is 5 years.

Interest = $20,000 * 0.033 * 5

Interest = $3,300

Total Cost of Repayment = Principal + Interest

= $20,000 + $3,300

= $23,300.

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The number of revolutions will the wheels need to make to travel 100 feet will be 15.

Given that:

Diameter, d = 26 inches

Let d be the diameter of the circle. The circumference of the circle will be given as,

C = πd units

The number of revolutions will the wheels need to make to travel 100 feet will be given as,

100 = n x 3.14 x (26 / 12)

100 = 6.803 n

n = 14.6986

n ≈ 15 revolution

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Answer:

421.20

Step-by-step explanation:

To round a number look at the next digit in the right place, if the digit is less than 5, round down and if the digit is 5 or more than 5, round up.

Answer:

421.2

Step-by-Step Explanation:

you round up the .16 to 2 because the 6 is greater than 5 and the .1 is in the tenth place

(a) Given that E is the solid enclosed by the ellipsoid and the transformation used is x = au,

y = bv,

z = cw.

So, let's find the value of a, b, and c using the given information.

The given equation of the ellipsoid is a²x²+b²y²+c²z² = 1

Comparing it with x²/a² + y²/b² + z²/c² = 1,

We get a² = 1

⇒ a = 1b²

= 1

⇒ b = 1c²

= 1

⇒ c = 1

Now the transformed integral will be: ∭ E dV = ∭ W G(u, v, w) dV

where, G(u, v, w) = abc and W is the region bounded by the surface which is obtained by transforming E into u, v, w coordinates. Hence, G(u, v, w) = abc

= 1 × 1 × 1

= 1

∭ E dV = ∭ W G(u, v, w) dV

= abc ∭ W dV

= ∭ 1 dV ...(1)

Evaluating the integral (1) will give the volume of the ellipsoid E. Therefore, the volume of the ellipsoid E is 4/3πabc = 4/3π.(1).(1).(1)

= 4/3π cubic units. (b) The shape of the earth is approximated by the ellipsoid with a = b

≈ 6378 km and

c = 6356 km.

Using the formula for the volume of the ellipsoid, the volume of the Earth is given by: V = 4/3 π abc

Where a = b

= 6378 km and

c = 6356 km.

Substituting the given values in the above equation, we get: V = 4/3 π (6378)²(6356)

≈ 1.09 × 10¹² km³ Hence, the volume of the Earth is approximately 1.09 × 10¹² km³.

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Answer:

B

Step-by-step explanation:

When graphed, it doesnt not pass through the origin, but it is completely staight/linear.

Answer:

d

Step-by-step explanation:

Answer:

j = 2

Step-by-step explanation:

Slope of a line is given by:
\(\medium \text{$\dfrac{y_{2}-y_{1}}{x_{2}-x_{1}}$}\)

where (x₁, y₁) and (x₂, y₂) are two points on the line

This is commonly referred to as rise/run

Given the two points (6, 1) corresponding to (x₁, y₁) and (9, j) corresponding to (x₂, y₂)

\(\text{Slope = }\dfrac{\ensuremath{j}-1}{9-6}=\dfrac{j-1}{3}\)

But we are given the slope as 1/3

So we get
\(\dfrac{j-1}{3} = \dfrac{1}{3}\)

Multiplying by 2 on both sides gives us:

j - 1 = 1

Adding 1 to both sides gives us

j - 1 + 1 = 1 + 1

j = 2

Step-by-step explanation:

Traffic sign painting cost

The cost of painting a circular traffic sign is $2,50 per sq foot. How much will it cost to paint the sign if its diameter is 36 in.

We can start by finding the area of the circular traffic sign, using the formula for the area of a circle:

A = πr^2

where A is the area of the circle, π is the mathematical constant pi (approximately 3.14), and r is the radius of the circle. We are given the diameter of the circle, which is 36 inches. The radius is half of the diameter, so we have:

r = 36/2 = 18 inches

We need to convert the radius from inches to feet, since the cost of painting is given per square foot. There are 12 inches in a foot, so:

r = 18/12 = 1.5 feet

Now we can find the area of the circle:

A = πr^2 = π(1.5)^2 ≈ 7.07 square feet

Finally, we can calculate the cost of painting the sign:

cost = $2.50/sq ft x 7.07 sq ft ≈ $17.68

Therefore, it will cost approximately $17.68 to paint the circular traffic sign

Answer:

Step-by-step explanation:

15x - 10 = 10 + 6 + 2x

15x - 10 = 16 + 2x

Bringing like terms on one side

15x - 2x = 16 + 10

13x = 26

x = 26/13

x = 2

The value of x in the equation is 2.

Option C is the correct answer.

An equation is a mathematical statement that shows that two expressions are equal.

It consists of variables, constants, and mathematical operations such as addition, subtraction, multiplication, division, exponents, and roots. Equations are used to solve problems and find unknown values.

We have,

We are given the equation 2.5(6x - 4) = 10 + 4(1.5 + 0.5x) and we need to find the value of x that satisfies this equation.

First, we can simplify both sides of the equation by using the distributive property of multiplication.

This gives us:

15x - 10 = 10 + 6 + 2x

Next, we can combine like terms on both sides of the equation. Specifically, we can combine the constants on the right-hand side:

15x - 10 = 16 + 2x

Now, we want to isolate the term with x on one side of the equation.

We can do this by subtracting 2x from both sides of the equation:

13x - 10 = 16

Finally, we can solve for x by adding 10 to both sides of the equation and then dividing both sides by 13:

13x = 26

x = 2

Therefore,

The value of x in the equation is 2.

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a)  To scale it, we can multiply it by a constant, let's say B. Therefore, f3(t) = B * r(t) will be scaled.

b) f1(t) = A * 6(t)

f2(t) = u(t - t0)

f3(t) = B * r(t)

f(t) = 56 * u(t - ∞)

c)  To determine the Laplace Transform F(s) of the shifted function f(t), we can use the time-shifting property of the Laplace Transform.

a) To determine an expression for f(t) by shifting and scaling 6(t), u(t), and r(t), let's analyze each function:

6(t) is the unit step function, which is 0 for t < 0 and 1 for t ≥ 0. To scale it, we can multiply it by a constant, let's say A. Therefore, f1(t) = A * 6(t) will be scaled.

u(t) is the unit step function, which is 0 for t < 0 and 1 for t ≥ 0. To shift it, we need to introduce a time delay. Let's denote the shifted function as f2(t) = u(t - t0), where t0 is the time delay.

r(t) is the ramp function, which is 0 for t < 0 and t for t ≥ 0. To scale it, we can multiply it by a constant, let's say B. Therefore, f3(t) = B * r(t) will be scaled.

b) The given function f(t) = 56 for t < 0. We need to time shift it so that f(t) = 0 for t < 0. To achieve this, we can introduce a time delay of t0 = ∞. The shifted function f(t) = 56 * u(t - ∞) will be zero for t < 0.

To summarize, the expressions for the shifted and scaled functions are:

f1(t) = A * 6(t)

f2(t) = u(t - t0)

f3(t) = B * r(t)

f(t) = 56 * u(t - ∞)

c) To determine the Laplace Transform F(s) of the shifted function f(t), we can use the time-shifting property of the Laplace Transform. The Laplace Transform of f(t) is given by F(s) = L{f(t)} = L{56 * u(t - ∞)}. Applying the time-shifting property, we have F(s) = 56 * e^(-∞s) / s.

In this problem, we analyzed the given functions and determined their shifted and scaled expressions. We also time-shifted the function f(t) so that it equals zero for t < 0. Finally, we obtained the Laplace Transform F(s) of the shifted function.

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In a primitive Pythagorean triple, the sides a, b, and c are all integers, and they satisfy the equation a^2 + b^2 = c^2.

Now, let's assume that neither x nor y is divisible by 3. This means that x and y can only be 1, 2, 4, 5, 7, or 8 modulo 3. Therefore, x^2 and y^2 can only be 1 or 4 modulo 3. Now, let's consider the equation a^2 + b^2 = c^2 mod 3. If a and b are both 1 or both 2 modulo 3, then their squares will add up to 2 modulo 3, which is not a quadratic residue. Therefore, one of a and b must be 0 modulo 3, and hence, c must also be divisible by 3. We assumed that neither x nor y is divisible by 3. We then looked at the possible residues of x and y modulo 3 and saw that they can only be 1, 2, 4, 5, 7, or 8 modulo 3. We then used the fact that the sum of two quadratic residues is not a quadratic residue modulo 3, and concluded that one of a and b in the Pythagorean triple must be divisible by 3.

In conclusion, either x or y in a primitive Pythagorean triple must be divisible by 3. This is a result of the fact that the sum of two quadratic residues is not a quadratic residue modulo 3.

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