Five plumbers charge different hourly rates. Find the mean of the data.

Answer:

90 = 150 of 60

88 = 220 of 40

75 = 300 of 25

100 = 125 of 80

Step-by-step explanation:

Answer:

90 = 150% of 60$

88 = 220% of 40$

75 = 300% of 25$

100 = 125% of 80$

The percents you need to convert to a decimal and times it by the amount of money to find the answer.

Answer:

black

black

Step-by-step explanation:

Answer:

3x+5y+22

Step-by-step explanation:

Answer:

3x + 5y + 22

Step-by-step explanation:

Given expression:- x + 3y + 2x + 10 + 2y + 12

Here, you can add all the 'x' terms together and 'y' terms together.

There is an 'x' and '2x'.

On adding them, you get 2x + x equals 3x.

Then add the 'y' terms

There is a '3y' and a '2y'. On adding them, you get 3y + 2y equals 5y.

Then add the numbers that are left. 12 and 10.

12 + 10 equals 22.

Then take all the values we got after addition:- 3x, 5y and 22.

2x, 5y and 22 cannot be added together. So, the expression in the simplified form would be:-

If there were only twenty-two students instead of fifty-two who contributed their moms' heights and we wanted to use a one-sample confidence interval procedure (whether it would be z or t), we would have had to assume that the population of mom-heights was normally distributed.

The one-sample confidence interval is used to estimate the true population mean based on a sample mean and standard deviation. The procedure assumes that the sample is a random sample from a normally distributed population. With a sample size of at least 30, the central limit theorem allows for the use of a z-test to construct the confidence interval. With a smaller sample size, a t-test would be more appropriate. However, the assumption of normality still needs to hold for the validity of the confidence interval.

If the sample size is smaller than 30, the assumption of normality can be replaced by the assumption of approximately normal data. This means that the data follows a distribution that is symmetric and bell-shaped, even if it is not exactly normal.

However, the validity of the confidence interval can be compromised if the data is highly skewed or contains outliers. In such cases, it may be necessary to use non-parametric methods to construct a confidence interval.

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The Maclaurin series for f(x) converges absolutely for x within the interval (-2/3, 2/3).

To find the Maclaurin series for the function f(x) = (3cos(x))ln(1+x), we can use the standard formulas for the Maclaurin series expansion of elementary functions.

First, let's find the derivatives of f(x) up to the third order:

f(x) = (3cos(x))ln(1+x)

f'(x) = -3sin(x)ln(1+x) + (3cos(x))/(1+x)

f''(x) = -3cos(x)ln(1+x) - (6sin(x))/(1+x) + (3sin(x))/(1+x)² - (3cos(x))/(1+x)²

f'''(x) = 3sin(x)ln(1+x) - (9cos(x))/(1+x) + (18sin(x))/(1+x)² - (12sin(x))/(1+x)³ + (12cos(x))/(1+x)² - (3cos(x))/(1+x)³

Next, we evaluate these derivatives at x = 0 to find the coefficients of the Maclaurin series:

f(0) = (3cos(0))ln(1+0) = 0

f'(0) = -3sin(0)ln(1+0) + (3cos(0))/(1+0) = 3

f''(0) = -3cos(0)ln(1+0) - (6sin(0))/(1+0) + (3sin(0))/(1+0)² - (3cos(0))/(1+0)² = -3

f'''(0) = 3sin(0)ln(1+0) - (9cos(0))/(1+0) + (18sin(0))/(1+0)² - (12sin(0))/(1+0)³ + (12cos(0))/(1+0)² - (3cos(0))/(1+0)³ = -9

Now we can write the first three nonzero terms of the Maclaurin series:

f(x) = f(0) + f'(0)x + (f''(0)/2!)x² + (f'''(0)/3!)x³ + ...

f(x) = 0 + 3x - (3/2)x² - (9/6)x³ + ...

Simplifying, we have:

f(x) = 3x - (3/2)x² - (3/2)x³ + ...

To determine the values of x for which the series converges absolutely, we need to find the interval of convergence. In this case, we can use the ratio test:

Let aₙ be the nth term of the series.

|r| = lim(n->infinity) |a_(n+1)/aₙ|

= lim(n->infinity) |(3/2)(xⁿ+1)/(xⁿ)|

= lim(n->infinity) |(3/2)x|

For the series to converge absolutely, we need |r| < 1:

|(3/2)x| < 1

|x| < 2/3

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The value of x that makes 25x^2 + 70x + c a perfect square trinomial is c = 1225.

To make the quadratic expression 25x^2 + 70x + c a perfect square trinomial, we need to determine the value of c.

A perfect square trinomial can be written in the form (ax + b)^2, where a is the coefficient of the x^2 term and b is half the coefficient of the x term.

In this case, a = 25, so b = (1/2)(70) = 35.

Expanding (ax + b)^2, we have:

(25x + 35)^2 = 25x^2 + 2(25)(35)x + 35^2

= 25x^2 + 70x + 1225.

Comparing this with the given quadratic expression 25x^2 + 70x + c, we can see that c = 1225.

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Answer: Q = 9

5q - 4q = 9 (Combine like terms)

q = 9

Step-by-step explanation:

Answer: (-∞, 3.5)

Step-by-step explanation:

Here we can use the relation:

Exp( Log(X)) = X

Now, we start with the equation:

log(x + 7) > log(3x)

Now we can apply the exponential function to both sides of the inequality to get:

Exp(log(x + 7)) > Exp(log(3x))

x + 7 > 3x

7 > 3x - x

7 > 2x

7/2 > x

3.5 > x

Then the solutions will be all the values of x smaller than 3.5, this set can be written as:

(-∞, 3.5)

Answer:

(0,3)

Step-by-step explanation:

used an online calculator

Answer:

All of them except the squiggly one and the vertical one

Step-by-step explanation:

The rest are functions, two of them are lines, and the curved swoop is a parabola, which is also a function

Function is a set of relation without same or repetitive domain. Because we are checking if the following graphs are function or not. It is easier to do line test.

How to check if the graphs are function.

Overall, the graphs that are not function are the vertical line and the vertical curve graph.

Feel free to ask if you are confused.

A(n) MODEL is a mathematical representation of an object created by a special software.

In computer science, a model is a mathematical abstraction of a system, process, or phenomenon that is intended to be simulated or executed on a computer system. A model is used to represent a system or process as a set of mathematical equations or logical rules in order to simulate or analyze it with a computer program.

                                                  It can be a physical object, such as a car or building, or an abstract concept, such as an economic system or a social network. In general, a model can be a simple or complex representation of a real-world object or process, and it can be used for a variety of purposes, such as predicting future outcomes, testing hypotheses, or designing new systems.

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Answer:

A.

Step-by-step explanation:

If R(-2), then x = -2. Just plug in -2 for x. -2^2 - 3(-2) - 1 = 4 + 6 - 1 = 10 - 1 = 9. The answer is 9.

Answer:

325

Step-by-step explanation:

Answer:

Helene invested $700 in the 5% interest account and $500 in the 10% interest account.

Step-by-step explanation:

Farmer Ed has 3,000 meters of fencing and wants to enclose a rectangular plot that borders on a river.The largest area that can be enclosed is 750,000 square meters.

To get the largest area that can be enclosed, we have to find the dimensions of the rectangular plot. Let's assume that the width of the rectangle is x meters.The length of the rectangle can be found by subtracting the width from the total length of fencing available:L = 3000 - x. The area of the rectangle can be found by multiplying the length and width:Area = L × W = (3000 - x) × x = 3000x - x²To find the maximum value of the area, we can differentiate the area equation with respect to x and set it equal to zero.

Then we can solve for x: dA/dx = 3000 - 2x = 0x = 1500. This means that the width of the rectangle is 1500 meters and the length is 3000 - 1500 = 1500 meters.The area of the rectangle is therefore: Area = L × W = (3000 - 1500) × 1500 = 750,000 square meters. So the largest area that can be enclosed is 750,000 square meters.

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h(t) = 50 + 49sin((2π/30)(t-7.5)) - This equation describes the vertical motion of a Ferris wheel with an average height of 50 feet and an amplitude of 49 feet, starting from a position 1 foot above the ground.

What is Trigonometry?

Trigonometry is greek for triangle measurement.

Three of the most basic ideas in trigonometry are the sine, cosine, and tangent ratios. The sine, cosine, and tangent ratios can be defined as follows.

To write the trigonometric equation for your height above the ground at t seconds after the ride begins, suppose the Ferris wheel completes one full revolution in 30 seconds. Using the sine function, we can model the vertical movement of the ride.

The height above the ground can be expressed by the equation:

h(t) = a + b*sin(c(t-d))

In this equation:

and represents the average ride height above the ground, which is 50 feet ((1 + 99)/2).

b represents the amplitude of the vertical motion, which is half the total vertical distance traveled, so it is 49 feet ((99 - 1)/2).

c represents the angular frequency, which is determined by the time it takes for one complete revolution. In this case, the ferris wheel completes one revolution in 30 seconds, so c = 2π/30.

d represents the horizontal shift or time shift. Since the ride starts with the feet 1 foot off the ground, the starting position is on the underside of the wheel. Therefore, we need to shift the equation 1/4 turn to the right, which corresponds to a time shift of 7.5 seconds (30/4).

Putting this together, the trigonometric equation for your height above the ground at t seconds after the start of the ride is:

h(t) = 50 + 49sin((2π/30)(t-7.5))

This equation describes the vertical motion of a Ferris wheel with an average height of 50 feet and an amplitude of 49 feet, starting from a position 1 foot above the ground.

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Answer:

The correct answer is 3893483310

Step-by-step explanation:

HAVE A GOOD DAY!

Answer:

type 2 in the first box,

13/4 in the second box, and

-9/8 in the third one

Step-by-step explanation:Notice that you are asked to write the following quadratic expression in vertex form, so you need to find the "x" value of the vertex, and then the "y" value of the vertex:

\(x_{vertex}= -b/2a\)

Which in our case is: -13/4

and the value of the y for the vertex is obtained using the functional expression when x equals -13/4:

\(f(-13/4)= -9/8\)

Then your expression for this quadratic should be:

\(f(x)=2\,(x+\frac{13}{4} )^2+(-\frac{9}{8})\)

Then type 2 in the first box, 13/4 in the second box, and -9/8 in the third one

Answer:

Step-by-step explanation:

The sum of interior angles in a triangle is equal to 180 degrees

so

70 + 35 + x = 180 add like terms

105 + x = 180 subtract 105 from both sides

x = 75

Answer:

75  degrees

Step-by-step explanation

triangles add up to 180 degrees so, 70+35= 105 degrees, 180-105= 75 degrees

Answer:

2.6

Step-by-step explanation:

Make this an equation. 5x-4=9. Add 4 to both sides. 5x=13. Divide both sides by 5. x=2.6. So the number is 2.6.

Answer:

Answer in picture with working

Step-by-step explanation:

The probability that Joe  will take no more than 7 tries to pass it is calculated as 0.7712.

Given: Every time Joe takes the fourth statistics quiz, he has a 19% chance of passing.

Mean = μ = 1/p = 1/(19/100) = 100/19 ≈ 5.26

Variance = σ² = (1-p)/p² = \(\frac{1-(19/100)}{19/100}^{2}\) 8100/361 ≈ 22.4376

Standard Deviation = σ = \(\sqrt{ \frac{1-p}{p^2} }\) = \(\sqrt{ \frac{1-(19/100)}{(19/100)^2} }\) = 90/19 ≈ 4.736

P(X = 7) = 0.05366

P(X<7) = 0.7175

P(X≤7) = 0.7712

Therefore, the probability that Joe  will take no more than 7 tries to pass it is 0.7712.

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Answer: I really don’t know

Step-by-step explanation: I need help with this as well. I’m really sorry if you were looking for a real answer

Answer:The 99% confidence interval is

To find the 99% confidence interval for the mean systolic blood pressure (SBP) level, we use the formula:

CONFIDENCE INTERVAL = Mean ± Z * (Standard Deviation / √n)

Where:

Mean is the sample mean of SBP

Z is the Z-score corresponding to the desired confidence level

Standard Deviation is the population standard deviation

Explanation:

Given that the sample size is 13 and the standard deviation is 10, we need to calculate the sample mean and the Z-score for the 99% confidence level.

First, we calculate the sample mean:

Mean = (129 + 134 + 142 + 114 + 120 + 116 + 133 + 142 + 138 + 148 + 129 + 133 + 140) / 13

= 1724 / 13

≈ 132.62

Next, we need to determine the Z-score for a 99% confidence level. The Z-score can be found using a Z-table or a statistical calculator. For a 99% confidence level, the Z-score is approximately 2.576.

Now, we can calculate the confidence interval:

Confidence Interval = 132.62 ± 2.576 * (10 / √13)

132.62 ± 2.576 * (10 / 3.6056)

≈ 132.62 ± 2.576 * 2.771

≈ 132.62 ± 7.147

Therefore, the 99% confidence interval for the mean SBP level is approximately (125.47, 139.77).

Answer:

$115.20

Step-by-step explanation:

Hi! We need to find 1% of 96 to multiply by 20.

96 / 100 = .96

Now we multiply by 20.

20 x .96 = 19.2.

Now, we add 19.2 to what she earned in the first place (96).

19.2 + 96 = 115.20

Hope this helps!

Answer:

Wrong

Step-by-step explanation:

Eva must subtract 4*3/2=6 from each side to get 4x=2, the divide by 4 to get x=1/2

Another way:

First, divide both sides with 4 to get x+3/2=2. Then subtract 3/2 from each side and we will have x= 2-3/2= 1/2

A sequence of transformation that would move ΔABC onto ΔDEF is: D. a dilation by a scale factor of 1/2, centered at the origin, followed by a 90° clockwise rotation about the origin.

In Geometry, a dilation is a type of transformation which typically changes the size of a geometric object, but not its shape.

In this scenario an exercise, we would dilate the coordinates of the pre-image by applying a scale factor of 1/2 that is centered at the origin as follows:

Ordered pair B (-4, 2) → Ordered pair B' (-4 × 1/2, 2 × 1/2) = Ordered pair B' (-2, 1).

In Mathematics and Geometry, a rotation can be defined as a type of transformation which moves every point of the object through a number of degrees around a given point, which can either be clockwise or counterclockwise (anticlockwise) direction;

(x, y)                               →            (y, -x)

Ordered pair B' (-2, 1)   →          E (1, 2)

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