The function g(x) shown in the table below is a linear function. Identify the slope.

Answer:

  6.9%

Step-by-step explanation:

The amount of the discount was ...

  18.99 -17.68 = 1.31

As a percentage of the original price, that is ...

  1.31/18.99 × 100% ≈ 0.06898 × 100% ≈ 6.9%

The discount was about 6.9%.

Answer:

what are the answers

Step-by-step explanation:

9514 1404 393

Answer:

  (b)  x = -2

Step-by-step explanation:

The graph shows the lines intersect at (x, y) = (-2, 3).

The x-coordinate of the solution is x = -2.

Answer:

2 Gallons of Soda

Step-by-step explanation:

that is the answer above

Answer: [tex]Rs.3,69,000[/tex]

Step-by-step explanation:

Given

average monthly salary of a worker is [tex]Rs.8200[/tex]

If there are 45 workers in a factory

Total expenditure is calculated by taking the product of Average monthly salary and no of workers in the factory

[tex]\Rightarrow 8200\times 45\\\Rightarrow Rs.3,69,000[/tex]

Answer:

1. 7:20hrs round to 7 hours (1 hour =60 minuite, and 20 is less than half of 60)

2. All numbers when divide by 1 is equal to itself (you can try with any number)

3. 9365<9635

the the second digit of 9635 is 6

the the second digit of 9365 is 3

Thus 9635 is greater

Brainliest please~

9514 1404 393

Answer:

  (d)   f(x) = 2x^2 - 16x + 35

Step-by-step explanation:

The x-coordinate of the extreme will be found at ...

  x = -b/(2a)

where the function is f(x) = ax²+bx+c.

The extreme will be a minimum when a > 0. (eliminates choices A and B)

The x-coordinates of the extremes are ...

  C: -(-4)/(2(4)) = 1/2

  D: -(-16)/(2(2)) = 4 . . . . . matches the requirement

The appropriate choice is ...

  f(x) = 2x^2 - 16x + 35

Answer:

21

Step-by-step explanation:

Since this is a right triangle, we can use trig functions

tan theta = opp/ adj

tan 60 = x / 7 sqrt(3)

7 sqrt(3)  tan 60 = x

7 sqrt(3) sqrt(3) = x

7*3 = x

21 = x

Answer:

217 is the perfect swuare i think

Answer:

5.503484≤x≤9.116516

Step-by-step explanation:

The formula for calculating the CI is expressed as;

CI = x±z*s/√n

x is the mean= 7.31

z is the 99% z-score = 2.58

s is the standard deviation = 6.26

n is the sample size = 80

Substitute into the formula

CI = 7.31± 2.58*6.26/√80

CI = 7.31± 2.58*6.26/8.94

CI = 7.31± (2.58*0.7002)

CI = 7.31±1.806516

CI = (7.31-1.806516, 7.31+1.806516)

CI = (5.503484, 9.116516)

Hence the 99% confidence interval for the population mean is

5.503484≤x≤9.116516

Answer:

(x, y) = (4,-3)

Step-by-step explanation:

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

.

.

.

.

Answer:

Reject H0 and conclude that adults sway more than the mean forward sway for younger people.

Step-by-step explanation:

H0 : μ = 18.125

H0 : μ > 18.125

Sample data: 19 30 20 19 29 25 21 24 50

Sample size, n = 9

Sample mean, xbar = Σx / n = 237 / 9 = 26.333

Sample standard deviation, s = 9.772 (calculator)

The test statistic :

(xbar - μ) ÷ (s/√(n))

T = (26.333 - 18.125) ÷ (9.772/√(9))

T = 8.208 / 3.2573333

T = 2.519 = 2.520

Decison :

Reject H0 ; If Pvalue < α

The Pvalue :

Degree of freedom, df = n - 1 ; df = 9 - 1 = 8

Pvalue(2.520; 8) = 0.0179

Since 0.0179 < 0.05 ; WE reject H0 and conclude that adults sway more than the mean forward sway for younger people.

By taking the addition of the values in the table and overestimating a little bit, the correct option is B: $60.00

Here we have the following table of average costs:

Assuming you eat these 3 per day, the total cost in food per day is the sum of all the values in the table.

It gives:

Total cost: $12.98 + $18.95 + $26.58 = $48.51

Notice that these are average costs, so you should budget a little bit over that just in case, then the correct option is $60, which is the first option over the average total cost.

Learn more about additions:

https://brainly.com/question/25421984

#SPJ1

Answer:

45

Step-by-step explanation:

Answer:

Step-by-step explanation:

2.5 = 5 * .5

1 = 1

70 = 2 * 5 *  7

LCM = 2 * 5 * 7

If you include the 1/2, you will reduce the LCM to 35, but 70 will be left out of the LCM.

Answer:

0.5555 = 55.55% probability of rolling a sum that is a multiple of 3 or a multiple of 4.

Step-by-step explanation:

A probability is the number of desired outcomes divided by the number of total outcomes.

Possible outcomes:

For the pair of dice:

(1,1), (1,2), (1,3), (1,4), (1,5), (1,6)

(2,1), (2,2), (2,3), (2,4), (2,5), (2,6)

(3,1), (3,2), (3,3), (3,4), (3,5), (3,6)

(4,1), (4,2), (4,3), (4,4), (4,5), (4,6)

(5,1), (5,2), (5,3), (5,4), (5,5), (5,6)

(6,1), (6,2), (6,3), (6,4), (6,5), (6,6)

So 36 total outcomes.

Desired outcomes:

Sum being multiplies of 3 or multiples of 4, so:

(1,2), (1,3), (1,5)

(2,1), (2,2), (2,4), (2,6)

(3,1), (3,3), (3,5), (3,6)

(4,2), (4,4), (4,5)

(5,1), (5,3), (5,4)

(6,2), (6,3), (6,6)

3 + 4 + 4 + 3 + 3 + 3 = 20

Probability:

[tex]p = \frac{20}{36} = 0.5555[/tex]

0.5555 = 55.55% probability of rolling a sum that is a multiple of 3 or a multiple of 4.

Answer:

The slope is undefined.

Step-by-step explanation:

The line must pass through the points (10,-3) and (10,-8), meaning that it must be vertical. The slope of a line is undefined if the line is vertical.

Answer:

I'm sorry but I don't know this one

Answer:

[tex]3 \sqrt{2} [/tex]

Step-by-step explanation:

[tex] \sqrt{(9 \times 2)} [/tex]

Take the square root of 9 out of the square root and leave the 2 in.

Answer:

3[tex]\sqrt{2}[/tex]

Step-by-step explanation:

Using the rules of radicals

[tex]\sqrt{a}[/tex] × [tex]\sqrt{b}[/tex] ⇔ [tex]\sqrt{ab}[/tex] , then

[tex]\sqrt{3}[/tex] × [tex]\sqrt{6}[/tex]

= [tex]\sqrt{3(6)}[/tex]

= [tex]\sqrt{18}[/tex]

= [tex]\sqrt{9(2)}[/tex]

= [tex]\sqrt{9}[/tex] × [tex]\sqrt{2}[/tex]

= 3[tex]\sqrt{2}[/tex]

Answer:

Pick only one of these values. So if the first one doesn't work, then try the other one. Unfortunately, your teacher isn't clear on which value to go with.

===========================================================

Explanation:

Nice work on getting the mean so far.

To get the standard deviation, we'll use the value 236 in the table. This value is the sum of everything above it. So it's the sum of the [tex](x-\overline{x})^2[/tex] values. We call this the sum of the squared errors. The errors themselves being [tex]x-\overline{x}[/tex]

So we'll divide 236 over n = 4 to get 236/4 = 59

This will get us the population variance. Apply the square root to get [tex]\sqrt{59} \approx 7.68[/tex] which is the population standard deviation.

So if your teacher wants the population standard deviation, then the answer is 7.68

------------

If that answer doesn't work, then try this section.

Unfortunately, there are two flavors of standard deviation. The good news is that we don't have to do much work to find the sample standard deviation.

Instead of dividing by n = 4, we'll divide by n-1 = 4-1 = 3.

So 236/3 = 78.667

Since the value is approximate, I'll leave it as a fraction.

This represents the sample variance.

Apply the square root to get the sample standard deviation

[tex]\sqrt{\frac{236}{3}} \approx 8.87[/tex]

and that value is the sample standard deviation.

If the answer in the previous section doesn't work, then the answer must be 8.87

Answer:

8 x 9

Have a nice day!

Suppose :

2^x = t ..**&**.. 3^y = u

_____________________________

t + u = 9 × 3 3t + 3u = 27

=====》

2t - 3u = 8 2t - 3u = 8

+ __________

5t = 35

5 × t = 5 × 7

t = 7

&

u = 2

________________________________

Thus :

2^x = 7 ===》 x = Log _ 2 { 7 }

3^y = 2 ===》 y = Log _ 3 { 2 }

Answer:

E

Step-by-step explanation:

Since all the numbers are hundredths decimals, let multiply by the power of 2 of the base 10. So let multiply the equation by

[tex]10 {}^{2} [/tex]

So our new equation is

[tex]3 3{x}^{2} + 71x - 14 = 0[/tex]

Solve by AC method

[tex]ac = - 462[/tex]

[tex]b = 71[/tex]

We must think of two numbers that

Multiply to -462 and Add to 71. Set up equation

The numbers are 77 and -6.

So our new equation is

[tex] {33x}^{2} + 77x - 6x - 14 = 0[/tex]

Solve by factoring by grouping

[tex](33 {x}^{2} + 77x) - (6x - 14)[/tex]

Factor out 11 for the first equation

[tex]11x(3x + 7) - 2(3x + 7)[/tex]

So our factors are

[tex](11x - 2)(3x + 7)[/tex]

Set each equal to zero

[tex]11x - 2 = 0[/tex]

[tex]11x = 2[/tex]

[tex]x = \frac{2}{11} [/tex]

[tex]3x + 7 = [/tex]

[tex]3x = - 7[/tex]

[tex]x = \frac{ - 7}{3} [/tex]

Answer:

24

Step-by-step explanation:

The sample space is the total possible values of an experiment or research. Since the total number of hours is 24, then the total possible number (or the limit she can use have) is 24. This she cannot exceed this 24 hour limit. Then we call this the total possible outcome and thus the sample space.

==========================================================

Explanation:

The given function is f(x) = x^2 - 2x

Let's apply function composition like so

[tex]f(x) = x^2 - 2x\\\\f(f(x)) = (f(x))^2 - 2(f(x))\\\\f(f(x)) = (x^2-2x)^2 - 2(x^2-2x)\\\\[/tex]

In the second step, I replaced every x with f(x). Then in the third step, I replaced f(x) with x^2-2x on the right side.

Setting this equal to f(x) gets us

[tex]f(f(x)) = f(x)\\\\(x^2-2x)^2 - 2(x^2-2x) = x^2-2x\\\\[/tex]

which is a bit cluttered. However, we have "x^2-2x" show up three times. Let's say w = x^2-2x

If we replaced all those "x^2-2x" expressions with w, then we get,

[tex](x^2-2x)^2 - 2(x^2-2x) = x^2-2x\\\\w^2 - 2w = w\\\\[/tex]

Which looks more manageable

-----------------------------------------------

Let's solve for w

w^2 - 2w = w

w^2 - 2w-w = 0

w^2 - 3w = 0

w(w - 3) = 0

w = 0 or w-3 = 0

w = 0 or w = 3

----------------------------------------------

If w = 0, then,

w = x^2 - 2x

x^2 - 2x = w

x^2 - 2x = 0

x(x - 2) = 0

x = 0 or x-2 = 0

x = 0 or x = 2 are two solutions (out of four total)

-------------------------------------------------

Or, if w = 3, then,

w = x^2 - 2x

x^2 - 2x = w

x^2 - 2x = 3

x^2 - 2x - 3 = 0

(x - 3)(x + 1) = 0

x-3 = 0 or x+1 = 0

x = 3 or x = -1 are the other two solutions

-----------------------------------------------

To summarize, the four solutions are:  x = -1, x = 0, x = 2, x = 3

Answer:

F. Obtuse isosceles

Step-by-step explanation:

Since we have an angle that is 100 degrees, we have an obtuse angle

We have two angles that are 40, which means we have two sides that are equal length, because two angles have the same measure.  That means it is isosceles

The triangle is an obtuse isosceles

Answer:

180000 people

1 : 2

$40

80 stores

Step-by-step explanation:

1.)

Population in 2020 are equal : Let population =

City A increased by 20% From 120,000 in 2015

(1 + 0.2) * 120,000 = (1.2 * 120,000) = 144,000

Hence, city A = 144,000.

Since, city A and B have equal population ; city B also has a population of 144000 in 2020.

Let population in 2015 = x

(1 - 0.2) * x = 144000

0.8x = 144000

x = 144000/0.8

x = 180,000

2.)

Let proportion of 20% butter = x and proportion of 50% butter = 1 - x

0.2x + 0.5(1 - x) = 0.4

0.2x + 0.5 - 0.5x = 0.4

-0.3x + 0.5 = 0.4

-0.3x = 0.4 - 0.5

-0.3x = - 0.1

x = 0.1/0.3

x = 0.3333

(1-x) = 1 - 0.33333 = 0.6666%

0.3333% of 20% butter

0.6666% of 50% butter

Hence ;

0.3333 : 0.6666

1 : 2

3.)

Let original price of book = x

Discount on sale = 30%

Sale price = $28

Sale price = original price * (1 - discount)

$28 = (1 - 0.3) * x

$28 = 0.7x

x = $28/0.7

x = $40

4.)

Let total number of stores = x

Store surveys needed = 32

40% of total stores = 32 stores

0.4x = 32

x = 32 / 0.4

x = 80

Answer:

(y, -x)

Step-by-step explanation:

Rotation of 90°

(Clockwise)

(x, y)  ---> (y, -x)

Rotation of 90°

(CounterClockwise)

(x, y) --> (-y, x)

Rotation of 180°

(Both Clockwise and Counterclockwise)

(x, y) ---> (-x, -y)

Rotation of 270°

(Clockwise)

(x, y) ---> (-y, x)

Rotation of 270°

(CounterClockwise)

(x, y) ---> (y, -x)

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Answer:

Step-by-step explanation:

A suitable statistics calculator can tell you the coefficients of the linear regression equation. In the attached, we put the given x- and y-values into a table and asked for the best fit equation. Rounded to tenths, the equation is ...

  y = 32.1x +779.9

The year 2010 is 12 years after 1998, so we can find the desired projection using x=12.

  y = 32.1×12 +779.9 = 385.2 +779.9 = 1165.1

The number of cases is projected to be 1165 in 2010.

_____

We wonder if using the button "Open Statistics Calculator" will let you solve this question yourself.

Answer:

6.2 hours

Step-by-step explanation:

d=rt  where d is distance, r = rate and t - time

12.1 = 1.96t

Divide each side by 1.96

12.1/1.96 = 1.96t/1.96

6.17346 = t

Answer: 6.2 hours

Step-by-step explanation: I divided 12.1 by 1.96

Answer:

B. √3 inches

Step-by-step explanation:

Apply trigonometry ratio to solve for AB

AB = DC (opposite sides of a rectangle are equal)

Given,

reference angle (θ) = 30°

Hypotenuse = BD = 2

Adjacent = DC = ?

Apply CAH, which is:

Cos θ = Adj/Hyp

Substitute

Cos 30° = DC/2

2*Cos 30° = DC

2*√3/2 = DC (Cos 30° = √3/2)

DC = √3 in.

AB = DC. Therefore,

AB = √3 inches