20% of city employees ride the bus to work. This is up 18% from last year. What percent of employees rode the bus to work last year? (Round to the tenth of a percentage.)

The mean absolute deviation is $106.6.

Given the table shows the amount Bill spent on 5 days last week.

DayAmount12622313126534To find the mean of the amount he spent: The formula for calculating the mean of a given set of values is mean=∑x/n where x represents the values, n represents the number of values, and ∑x represents the sum of the values.

Mean=total sum of values/total number of values Mean=(26+23+31+26+534)/5Mean=640/5Mean=128So,

the mean of the amount he spent is $128.To find the mean absolute deviation: The mean absolute deviation (MAD) is the average distance between each data value and the mean. MAD shows how much the data set deviates from the mean. The formula for calculating the MAD is MAD=∑|xi−m|/n where xi represents the values, m represents the mean, and n represents the number of values. So, the calculation for each day is:

Day Amount Absolute deviation from mean1 26 |128-26|=102 23 |128-23|=105 31 |128-31|=974 26 |128-26|=102 534 |128-534|=406

The sum of all absolute deviations is:

10+10+97+10+406=533The mean absolute deviation (MAD) is: MAD=533/5=106.6So.

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Ellie needs 5050 grams extra fertilizer and total cost of fertilizer = 22.81-pound sterling.

Multiplication is the product of two or more numerical terms. Division is the process of dividing any numbers into equal parts.

Cost of 750 grams fertilizer = 2.95-pound sterling,

the area of the lawn = 145 square meters.

Ellie uses 40 grams fertilizer for every square meter of lawn.

So, fertilizer needed for the 145 square meters of land = (145 × 40)

                                                                                        = 5800 grams

it stated earlier that 750-gram fertilizer was bought but Ellie needs 5800 grams fertilizer.

the extra amount of fertilizer that Ellie needs = (5800 - 750) = 5050 grams.

cost of 750 gram fertilizer = 2.95-pound sterling

cost of 5050-gram fertilizer = (2.95 × 5050) / 750 = 19.86-pound sterling

cost of extra fertilizer = 19.86-pound sterling.

Total cost of fertilizer = (2.95 + 19.86) pound sterling

                                   = 22.81-pound sterling

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Answer:

A). Yes

B). Yes

C). No

Step-by-step explanation:

Option (A). y = -2x - 5

As x → -∞, left end of the line decreases.

As x → ∞, right end of the graph rises.

YES.

Option (B). y = 5(x + 2)³ - 3

As x → -∞ and x → ∞,

Both the ends (left and right) rise upwards.

YES.

Option (C). y = -3ˣ

Since, the given equation is not a polynomial, end behaviors are not defined.

NO.

Answer:

4 cm.

Step-by-step explanation:

Area = pi r^2, so:

pi r^2 = 4 / pi

(pi)^2 r^2 = 4

r^2 = 4/ (pi^2)

r = 2/pi

Therefore, the circumference

= 2 pi r

= 2* pi * 2/pi

= 4

Answer:

they would sell 496 bottles

Step-by-step explanation:

if %1 of 800 is 8, then pultiply that by 62, since 62% said they liked tide

Answer:

-46

Step-by-step explanation:

5 (x - 2) - 14x.   x=4

5 (4 - 2) - 14(4)  (distribute)

20 - 10 - 14(4)   (multiply)

20 - 10 - 56    (subtract and solve.)

10 - 56 = -46 - solution

hope this helps (:

5 weeks do Newton and Descartes spend at home. This can be solved using the concept of fractions.

In mathematics, the portion or component of the complete item is represented by a fraction. It stands for the equal components of the whole. Both the numerator and denominator are components of a fraction. The top number is referred to as the numerator, while the bottom number is referred to as the denominator.

Given that,

Newton and Descartes have a 70-day summer vacation

They go to camp for 23/70 of their vacation

= 70 × (23/70)

= 23

Next, they travel for 6/35 of their vacation

= 70 × (6/35)

= 12

So, they stay home the rest of their vacation

= 70 - 23 - 12

= 35

Now, they stay home (35 ÷ 7) = 5 weeks.

Therefore, 5 weeks do Newton and Descartes spend at home.

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Answer:

x < 2 is the answer oh and do the 3rd line option

Answer:

C.

Step-by-step explanation: I took the quiz

Answer:

5.28+2.4=7.68

is right answer

Therefore, using the multiplier formula, a $525,000,000 increase in RGDP would result in a total increase in spending of $2,625,000,000.

To use the multiplier formula, we need to know the marginal propensity to consume (MPC), which is the fraction of each additional dollar of income that is spent on consumption.

The multiplier formula is: Multiplier = 1 / (1 - MPC)

If we assume an MPC of 0.8 (meaning that for every additional dollar of income, 80 cents are spent on consumption), the multiplier would be:

Multiplier = 1 / (1 - 0.8) = 5

So, if the change in Real Gross Domestic Product (RGDP) is $525,000,000, the total increase in spending (including consumption, investment, government spending, and net exports) would be:

Total spending increase = Multiplier x RGDP change

Total spending increase = 5 x $525,000,000

Total spending increase = $2,625,000,000

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Answer:

-235+84i

Step-by-step explanation:

I hope this is what you were looking for.

Answer:

BRO, u dont need to be a god :D, This is simple math and you just need to use your brains

Step-by-step explanation:

Given is a polynomial, and the values of the variables in it are given by showing what set are they an element of, right? It just gets easier from here

They tell us that 'z' is an element of set C, which stands for Complex Numbers.

And they also tell us that 'a' is an element of set Z, which stands for Integers, which are just numbers with a sign :).

They have also given us a root (solution) to the polynomial, which is also a complex number.

The two statements given are just there for us to verify that we are on the right track to the solution.

We can see that (z = 3 + i) which of course is a complex number, due to the presence of 'i', and 'a' is an integer for when we find its value.

Put it all together and we will get the answer.

Like this,

take the given value of 'z' and place it into the polynomial given, now keep your eyes open here. They said the value of z is as such when the polynomial is an equation which equals 0, so hence we get this:

P(z) = a(3+i)³ - 37(3+i)² + 66(3+i) - 10 = 0,

now just go on simplifying,

=> a(3³+i³+3×3²i+3×3i²) - 37(3²+2×3×i+i²) + 66×3 + 66×i - 10 = 0

=> a(27-i+27i-9i) - 37(9+6i-1) + 198 + 66i - 10 = 0

=> a(27+17i) - 37(8+6i) + 188 + 66i = 0

=>  a(27+17i) = 296 + 222i - 188 - 66i

=> a(27+17i) = 108 + 156i

=> a = (108+156i) / (27+17i)

=> a = (108+156i)(27-17i) / (27)² - (17i)²

=> a = (5568 + 2376i) / (699 + 289)

=> a = 5568 + 2376i / 1488

DONNEEE....yayyyy....lol

Hello there! :)

The ratio that is equivalent to 15/4 is 45/12 (you multiply the numerator by 3 and the denominator by 3)

Hope it helps!

~Just a felicitous girlie

\(SilentNature ;)\) is here to help

Answer:

hope that will help you

Answer:

[6, 8).

Step-by-step explanation:

When we are looking for the range of a function by just looking at the graph, we have to define from what point to what point the graph move vertically. On the other hand, if we were looking for the domain, we would state from where to where the graph moves horizontally.

In this case we have to analyze the graph vertically, since we are looking for the range of the function. Therefore, if we take a look at the line we can notice that it goes from y=6 to y=8. Therefore the range should be from 6 to 8.

Now, this result must be expressed in interval notation, meaning that we have to state whether the values of each end are contained or not by the function. The graph already tells us about it., because it marks it with the closed or open dots. In the case of the number 6, we have a closed dot, means that the function contains the number 6. For the other end we have an open dot, means that the function doesn't contain the number 8.

Applying internal notation, the range of this function is:

[6, 8).

Learn more about interval notation here:

1. https://web.nmsu.edu/~kberver/Unit1/Unit18.html#:~:text=An%20interval%20is%20closed%20if,used%20for%20an%20open%20endpoint.

2. https://brilliant.org/wiki/interval-notation/#:~:text=Interval%20notation%20is%20a%20way,inequality%20or%20system%20of%20inequalities.

The correct option is A) 20.2.

What is triangle sum?

The triangle sum is a property of triangles that states that the sum of the interior angles of a triangle is always equal to 180 degrees. In other words, if you add up the measures of the three angles inside a triangle, the result will always be 180 degrees.

Using the given information and the fact that the angles in a triangle sum to 180 degrees, we can find the value of x as follows:

Start by finding the measure of angle K by subtracting the measures of angles A and B from 180 degrees:

K = 180 - A - B

= 180 - 84 - 65

= 31 degrees

Use the law of sines to set up an equation relating the side lengths and corresponding angle measures:

sin(A)/x = sin(K)/17

Substitute the values we know into the equation and solve for x:

sin(84)/x = sin(31)/17

x = sin(84)*17/sin(31)

Using a calculator, we get:

x ≈ 20.2

Therefore, the value of x in the triangle is approximately 20.2.

So, the correct option is A) 20.2.

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Answer: its 49

Step-by-step explanation:

Answer:

4/21 or 4 over 21

Step-by-step explanation:

you would add all the numbers, 20+8+14. which equals 42 then it is looking for the ratio total games to tied games so the total is 42 games and tied games 8. so this would be 8 over 42. (8/42) This would be simplified into 4/21.

Answer:

C. 9

Step-by-step explanation:

This is the answer because of how the math works...Its really hard to explain how it works.

Yes, the following points give the vertices of a rectangle. This is because  ←→ A B ↔ is parallel to ←→ C D ↔ , and ←→ A C ↔ is parallel to ←→ B D ↔ . The two pairs of parallel lines are perpendicular to each other. (Option D)

To draw a rectangle on the coordinate plane, first, draw the vertices and then connect them.

Note that the above vertices are represented as follows:

A(0, 10)

Where 0 = x and 10 = y

B(3, 6)

Where  3 = x and 6 = y

C(8, 16)

Where  8 = x and 16 = y

D (11, 12)

Where  11 = x and 12 = y.

See attached graph for the plotted rectangle.

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The value οf P(x > 104) is 0.1587 οr apprοximately 15.87%.

Prοbability is the study οf the chances οf οccurrence οf a result, which are οbtained by the ratiο between favοrable cases and pοssible cases.

Tο find the prοbability οf P(x > 104) fοr a nοrmal distributiοn with mean οf 98 and standard deviatiοn οf 6, we need tο standardize the value οf 104 using the fοrmula:

z = (x - μ) / σ

where z is the standard scοre, x is the value we want tο find the prοbability fοr, μ is the mean οf the distributiοn and σ is the standard deviatiοn.

Plugging in the values, we get:

z = (104 - 98) / 6 = 1

Nοw we need tο find the area tο the right οf this value οn the standard nοrmal distributiοn table οr calculatοr.

Using a standard nοrmal distributiοn table οr calculatοr, we find that the area tο the right οf z = 1 is 0.1587.

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Answer:

6

Step-by-step explanation:

Answer:

2 or A

Step-by-step explanation:

Correct on edge22

Answer: 22

Step-by-step explanation:

20 - 10/2 + 2 . 2

10/5 = 2

20 - 2 + 2 . 2

= 20 - 2 + 4  = 22

hope this helps

Answer:−cnotu+53.65

Step-by-step explanation: I don't really know how I got it. But it was quite easy.

Answer:

a=15

b=7

c=4

Step-by-step explanation:

\(\sqrt[4]{15^{7} } = 15^{\frac{7}{4} }\)

Answer:

She is actually paying a rate of 7.36% of interest.

Step-by-step explanation:

The real interest rate, as a decimal, is given by:

\(I = (1 + \frac{r}{n})^{n}\)

In which r is the interest rate and n is the number of compoundings during an year.

The nominal rate on Sandra's loan is 7.125%, compounded monthly:

This means that \(r = 0.07125, n = 12\)

So

\(I = (1 + \frac{0.07125}{12})^{12} = 1.0736\)

As a percentage: 1.0736*100 = 107.36% - 100% = 7.36%

She is actually paying a rate of 7.36% of interest.

Answer:

s = 2 1/3 + 1/2

t = 2/3 + 3/2

We have to find the sum of both s and t.

2 1/3 + 1/2 = 2 2/6 + 3/6 = 2 5/6

2/3 + 3/2 = 4/6 +  9/6 = 13/6 = 2 1/6

If we look at the number lines, we can see that c matches with both points.

The expected total dollar net operating Income for next year = $70,000

1) The contribution format income statement for the game last year, and the degree of operating leverage is computed below:

Contribution format income statement for the game last year Sales (15,000 × $20) = $300,000

Variable expenses (15,000 × $6) = $90,000

Contribution margin = $210,000

Fixed expenses = $182,000Net operating income = $28,000

Degree of operating leverage = Contribution margin / Net operating income= $210,000 / $28,000= 7.5 2)

The expected percentage increase in net operating income for next year:

The expected sales in next year = 18,000

games selling price per game = $20

Therefore, Total sales revenue = 18,000 × $20 = $360,000

Variable expenses = 18,000 × $6 = $108,000

Fixed expenses = $182,000

Expected net operating income = Total sales revenue – Variable expenses – Fixed expenses

= $360,000 – $108,000 – $182,000= $70,000

The expected percentage increase in net operating income = (Expected net operating income - Last year's net operating income) / Last year's net operating income*100= ($70,000 - $28,000) / $28,000*100= 150%

The expected total dollar net operating income for next year = $70,000

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