The monthly electric bills in a certain community are normally distributed, with a mean of $245 and a standard distribution of $55. If there are 461 households in the community, about how many of them have electric bills less than $200?

A. 45
B. 21
C. 95
D. 81

Answer:

There is no value!

Any number times zero results in zero, it can never equal 2. Therefore, we say division by zero is undefined. There is no possible solution. Now let's look at 0÷0

Step-by-step explanation:

As x tends to negative one from the left, the value of f(x) tends to positive infinity. As x → -1⁻, f(x) → ∞.

In Mathematics and Geometry, the vertical asymptote of a function simply refers to the value of x (x-value) which makes its denominator equal to zero (0).

By critically observing the graph of this rational function f(x) shown below, we can logically deduce that its vertical asymptote is at x = -1 and x = 2, and its horizontal asymptote is at y = 3.

In this context, we can logically deduce that the value of f(x) tends towards positive infinity, as x tends to negative one from the left;

As x → -1⁻, f(x) → ∞.

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1. Find the graph of the parabola attached below

2. Vertex (-4, 2)   Focus (-7/2, 2)  Directrix (x = -9/2)  Endpoints (-7/2, 1) (-7/2, 3)

For the parabola,  x = 1/2(y-2)² - 4 we will use the equation x = 4p(y-k)² + h,

Vertex → (h, k)

In our given equation, (y - 2) → (y - k), so k = 2. The term on the rightmost side of our equation (-4) → h in the form, so we know h = -4. ∴  vertex (-4, 2).

focus → (h, k) = (-4, 2); P = 1/2

Parabola is symmetric around the x axis and so the focus lies a distance P, from the center, along the x axis.

∴  Focus is (-4 + p, 2)

(-4 + 1/2, 2) ⇒ (-7/2, 2)

directrix → x = d

Parabola is symmetric around the x axis and therefore the directrix is a line paralled to the y axis a distance away from the ceter (-4, 2) x coordinate.

∴ x = -4 - p   ⇒ x = -4 - 1/2

x = 9/2

focal chord endpoints →

The focus of the parabola is (-7/2, 2).

The y-coordinate of the focus is 2, so the y-coordinates of the endpoints of the focal chord are 2 + 1 and 2 - 1, → 3 and 1.

Therefore, the endpoints of the focal chord are:

(-7/2, 3) and (-7/2, 1).

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Answer:

3, each number is being multiplied by a factor of 3

Answer:

Hi! I believe this is your answer:

$750

Step by step explanation:

interest + interest      = total interest

0.08*x   + 0.09*(9000-x) = 750    dollars

0.08x + 810 - 0.09x = 750

-0.01x = 750 - 810 = -60  ====>  x = %28-60%29%2F%28-0.01%29 = 6000.

Final answer:  

$6000 was invested at 8%.  The rest   9000-6000 = 3000 dollars were invested at 9%.

Check.   0.08*6000 + 0.09*3000 = 480 + 270 = 750 dollars.

Answer:

  B.  quadratic

Step-by-step explanation:

You want to know the kind of function that would best fit the points shown on the graph.

The points on the graph demonstrate a slope that starts out positive and decreases through 0 to a slope with a negative value.

A linear function has a constant slope.

An exponential function has a continuously increasing or continuously decreasing slope.

A quadratic function has a slope that changes sign, matching the slope of the curve joining the given points.

The equation that best fits the given data will be quadratic.

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Answer: $400

Step-by-step explanation:

Discount = 15%

The original price/value of an item is always 100%

So selling price (%) = original price - discount = 100%-15% = 85%

We got selling price as 85%

This implies that 85% = 340

Let's find 1% first, then 100%

1% = 340÷85 = 4

100% = 4 × 100 = $400

The usual (normal/original) price is $400

Juan sold a bicycle at a discount of 15% if the selling price was $340 then the usual price of the bicycle was $400.

percentage, a relative value indicating hundredth parts of any quantity.

Let's represent the usual price of the bicycle by P.

Since Juan sold the bicycle at a discount of 15%, the selling price (S) would be 85% of the usual price (P).

We can express this relationship as an equation:

S = 0.85P

We also know that the selling price of the bicycle was $340.

Substituting S = $340 into the equation above, we get:

$340 = 0.85P

To find P, we can solve for it:

P = $340 / 0.85

P = $400

Therefore, the usual price of the bicycle was $400.

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We are given that an aluminum block has a volume of 15.0 mL and a mass of 81g and we are asked to determine its density.

The formula that we will use to determine the density is the following:

Where "d" is density, "m" is mass, and "V" is volume.

Now we replace the values:

Solving the operations we get;

The overtime rate of pay is K10.25.

The overtime rate of pay can be calculated by multiplying the basic rate pay by the time-and-a-quarter factor. In this case, the basic rate pay is K8.20.

To determine the overtime rate of pay, we need to calculate one-quarter (1/4) of the basic rate pay, and then add that amount to the basic rate pay. One-quarter of K8.20 is calculated as (1/4) * K8.20 = K2.05.

By adding the calculated overtime amount to the basic rate pay, we get the overtime rate of pay: K8.20 + K2.05 = K10.25.

Therefore, the overtime rate of pay is K10.25.

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Answer:

(3, 4)

Step-by-step explanation:

First, find the x coordinate of the midpoint by finding the average of the two x values:

(2 + 4) / 2

6 / 2

= 3

Find the y coordinate of the midpoint by finding the average of the two y values:

(3 + 5) / 2

8 / 2

= 4

So, the x coordinate of the midpoint is 3 and the y coordinate is 4.

The midpoint is (3, 4)

Keep in mind that we're framing it based on what the first sentence says, which is "If the cost of a competing factor of production, such as a machine that also could do the job, rises".

So if the cost of getting a machine part, various parts, or the entire machine cost rises, then demand for the machine will go down. This will make employers seek out substitutes. In this case, those substitutes would be human labor. As employers demand for labor goes up, the wages will rise assuming the supply of workers is held constant. If the supply of workers increased, then you could argue the wages could go down. So that's why I'm assuming the supply is held in check.

Answer:

y intercept: (0, -36)

zeros: 2 √ 3 ,  − 2 √ 3 ,  i √ 3 ,  − i √ 3

Answer: 3/4 hour

Step-by-step explanation: Add them all to get 3 3/4. subtract that from 4 1/2.

Answer: D (Green)

Step-by-step explanation:

Answer:

Step-by-step explanation:

There should be three others

<DPB

<APC

And the acute angle at D going up and to the right. It's not lettered so I can give it as an answer. I have no idea what the colors mean.

\(z_{2}-3i=(-4+i)-3i=-4-2i\\\\z_{1}+2=(3-4i)+2=5-4i\\\\(z_{1}+2)-(z_{2}-3i)=(5-4i)-(-4-2i)=9-4i+4+2i=9-2i\)

which corresponds with point C

The expression which is the result of subtracting (z2-3i) from (z1+2) is 9-2i.

Given On a coordinate plane, the y-axis is labeled imaginary and the x-axis is labeled real. Point A is (1, -2), B is (1, -6), C is (9,- 2), D is (9, - 6), z 1 is (3, - 4), and z 2 is (- 4, 1).

Coordinate plane is a two dimensional plane formed by the intersection of two number lines. One is horizontal line and one is vertical. On horizontal line x values are denoted and on vertical line y values are written. There can be three dimensional plane also.

z2-3i=(-4+i)-3i=-4-2i

z1+2=(3-4i)+2=5-4i

(z1+2)-(z2-3i)=(5-4i)-(-4-2i)

=9-4i+4+2i

=9-2i

Hence for the expression (z1+2)-(z2-3i)=9-2i

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Answer:

Step-by-step explanation:

The formula for finding the perimeter is 2w+2L (2*width + 2*length)

So, since we know the width is "w" and the length is "3w-2", we can just substitute those into the equation.

2(w)+2(3w-2)

From there, if needed, you can simplify to:

2w + 6w-4

Add like terms:

8w - 4

Hope that helps.

Answer:

the area is 68

Step-by-step explanation:

Answer:

5. x = 3, y = 3

Step-by-step explanation:

5. cos45 = y/(3√2)

y = 3

sin45 = x/(3√2)

x = 3

Answer:

Number of permutations for a 4 digit number using the digits 0 – 9 (10 available digits in total), supposing numbers cannot be repeated, is calculated by:

10P4 = 10!/(10-4)! = 5040

Hope this helps!

:)

The linear function for the given graph is y = x + 20.

What is a linear function?

A straight line on the coordinate plane is represented by a linear function. It has one independent variable and one dependent variable. For slope (m) and y-intercept (b) form, the equation is given by:

y = mx + b

From the graph,

The coordinates of the given graph are (0,20) and (20,40)

Then, slope (m) = (40-20)/(20-0) = 20/20 = 1

and y-intercept (b) = 20

So, the equation will be y = 1x + 20

Hence, the linear function for the given graph is y = x + 20.

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Answer: the transformation of ABC to MNO preserves both side lengths and angle measures of the triangle.

Step-by-step explanation:

Answer:

B - The transformation of triangle ABC to triangle MNO preserves both the side lengths and angle measures of the triangle.

Daniella: Were you thinking of perpendicular lines?

Ori: It seems like you've got the basic idea, but your definition could be more precise.

Kaori: Yes! Well done. Here, have a cookie. You've earned it.

Answer:

The scores are equal

Step-by-step explanation:

The z-score for any normal distribution is:

\(z=\frac{X-\mu}{\sigma}\)

(i) Score (X) = 40

Mean (μ)= 50

Standard deviation (σ) = 10

\(z=\frac{40-50}{10}\\ z=-1\)

(ii) Score (X) = 45

Mean (μ)= 50

Standard deviation (σ) = 5

\(z=\frac{45-50}{5}\\ z=-1\)

Both scores have the same z-score, which means that, relative to their respective distributions, the scores are equal.

Answer and Step-by-step explanation:

For these, you have to make sure the same amount of moles are on each side of the chemical equation.

\(1ZN + 2HCL\) → \(1ZnCL_{2} + H_{2}\)

\(1SiO_{2} + 4HF\) → \(SiF_{4} + 2H_{2} O\)

\(12HCIO_{4} + 1P_{4} O_{20}\) → \(4H_{3}PO_{4} + 6Cl_{2} O_{7}\)

These are the balanced equations.

#teamtrees #WAP (Water And Plant)

Answer:

4 kg

Step-by-step explanation:

........................

Answer:

4 kg

Explanation:

Let the mass of tank be 't' and water 'w'

First equation :              (when it is 1/4 filled with water)

Second equation :        (when it is filled fully with water)

Insert second equation into first equation :

\(\rightarrow \sf t + \dfrac{1}{4} (10.4 - t) = 5.6\)

\(\rightarrow \sf t - \dfrac{1}{4} t + 2.6 = 5.6\)

\(\rightarrow \sf \dfrac{3}{4} t = 5.6 - 2.6\)

\(\rightarrow \sf \dfrac{3}{4} t = 3\)

\(\rightarrow \sf t = 4\)

The tank weights 4 kg when it is empty.

Answer:

(2,-1)

Step-by-step explanation:

We can use substitution to solve this system of equations. Since x is already solved for in the second equation, we can substitute 2y + 4 for x in the first equation:

4(2y + 4) + 2y = 6

Simplifying the left side:

8y + 16 + 2y = 6

Combining like terms:

10y + 16 = 6

Subtracting 16 from both sides:

10y = -10

Dividing both sides by 10:

y = -1

Now that we know y, we can use the second equation to find x:

x = 2y + 4

x = 2(-1) + 4

x = 2

Therefore, the solution to the system of equations is (x, y) = (2, -1).

The correct answer choice is (2, -1).

Answer:

$723.66

Step-by-step explanation:

\(x(1 + 4 {)}^{6} = x + 192\)

\(\boxed{\green{x = 723.66}}\)

Answer:

60 minutes

Step-by-step explanation:

its the first time they line up.