F(x)= 10x-4
G(x)= x/2
What is the value of f(g(-4))?

The score separating the bottom 36% from the top 64%. p36 = 97.43

To find the score that separates the bottom 36% from the top 64%, we need to find the z-score corresponding to the 36th percentile and then use it to calculate the corresponding raw score.

First, we find the z-score using a standard normal table or calculator:

z = invNorm(0.36) = -0.379

Next, we use the formula:

z = (x - mu) / sigma

where x is the raw score, mu is the mean, and sigma is the standard deviation.

Plugging in the given values, we get:

-0.379 = (x - 128.3) / 80.9

Solving for x,

x = -0.379 * 80.9 + 128.3 = 97.43

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The snow that will be gotten daily of the line plot is redistributed equally will be 1/2.

A line plot, also known as a line graph, is a type of graph that displays information as a series of data points connected by straight lines. Line plots are often used to show how a particular variable changes over time or to compare two or more variables.

To create a line plot, you typically need to have a set of data points that represent the variable you want to graph. You then plot each data point on a graph, with the x-axis representing time or some other variable, and the y-axis representing the value of the variable you're graphing.

The snow that will be gotten daily of the line plot is redistributed equally will be:

= (1/8 + 2/8 + 3/8 + 4/8 + 5/8 + 6/8 + 7/8 + 8/8) / 9

= 36/8 / 9

= 1/2

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The graph represents B) y = [x] - 1.

In algebra, an equatiοn is defined as a mathematical assertiοn that shοws the equality οf twο mathematical expressiοns. Fοr example, the equatiοn 3x + 5 = 14 is made up οf the twο equatiοns 3x + 5 and 14, which are divided by the wοrd "equal."

The Greatest Integer Functiοn is denοted by y = [x].

Fοr all real numbers, x, the greatest integer functiοn returns the largest integer  less than οr equal tο x. In essence, it rοunds dοwn a real number tο the nearest lοwest integer.

In the plοt οf y = [x], the plοt starts frοm οrigin because

y = [0] = 0.

But, in the questiοn, all the line are shifted 1 units dοwnward, as it starts frοm (0, -1).

i.e fοr every values οf x, y decreases 1 units. Hence, 1 must be subtracted.

Therefοre, this graph represents B) y = [x] - 1.

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Answer:

27 duh lord help them please and me

Answer:

perimeter=68cm

area=289cm^2

Step-by-step explanation:

the perimeter is 17+17+17+17=68cm

the area is 17×17=289cm^2

The value of the variable x for the similar triangle ∆MST is 9 which makes option D correct.

The triangles MLK and MST are similar, this implies that the length MS of the smaller triangle is similar to the length MK of the larger triangle

and the length MT of the smaller triangle is similar to the length ML of the larger triangle

so;

14/21 = (x + 5)/21

by comparison of both sides of the equation, we have that;

14 = x + 5

x = 14 - 5 {subtract 5 from both sides}

x = 9

Therefore, the value of the variable x for the similar triangle ∆MST is 9.

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Answer:

A fancy way of saying "solutions" of the equation

Answer:

B: (k circle h)(x) = StartFraction 1 Over (5 + x) EndFraction

Step-by-step explanation:

To find the expression that is equivalent to (k circle h)(x), we first need to find k(h(x)).

k(h(x)) = k(5 + x) = 1/(5 + x)

Therefore, the expression that is equivalent to (k circle h)(x) is 1/(5 + x), which is option B:

(k circle h)(x) = StartFraction 1 Over (5 + x) EndFraction

Answer:

Let's call the three-digit number whose digits are all the same "n". We know that n must be between 111 and 999, inclusive.

Now let's consider a three-digit number x. We can write x as:

makefile

Copy code

x = 100a + 10b + c

where a, b, and c are the hundreds, tens, and one's digits of x, respectively. The sum of the digits of x is:

CSS

Copy code

a + b + c

If we subtract this sum from x, we get:

CSS

Copy code

100a + 10b + c - (a + b + c) = 99a + 9b

We want this to be equal to n, which means:

Copy code

99a + 9b = n

We know that n has three identical digits, so we can write:

makefile

Copy code

n = 111p

where p is a digit between 1 and 9. Substituting this into the equation above, we get:

CSS

Copy code

99a + 9b = 111p

11a + b = 37p

Since a and b are digits between 0 and 9, we can see that 37p must be between 0 and 99. The possible values of p are therefore 1, 2, and 3.

If p = 1, then 37p = 37, and we need to find two digits a and b such that 11a + b = 37. This gives us the solutions (a, b) = (3, 4) and (a, b) = (4, 3), which correspond to the numbers 343 and 434.

If p = 2, then 37p = 74, and we need to find two digits a and b such that 11a + b = 74. There are no such solutions since the largest possible value of 11a + b is 99.

If p = 3, then 37p = 111, and we need to find two digits a and b such that 11a + b = 111. This gives us the solution (a, b) = (10, 1), which corresponds to the number 1001. However, 1001 is not a three-digit number, so it does not count.

Therefore, the only two three-digit numbers that satisfy the conditions of the problem are 343 and 434. There are 2 such numbers.

Step-by-step explanation:

The independent events are given below:

Rolling a dice and flipping a coin:

Spinning two spinners each round:

Grabbing an S out of the scrabble bag and then grabbing an M:

These are dependent events because the outcome of the first event affects the outcome of the second event. The number of possible outcomes for the second event depends on the outcome of the first event.

For example, if the S is not replaced in the bag after it is picked, then the probability of picking an M on the second draw will be different if an S was picked on the first draw.

Pulling a candy, eating it, and pulling another out of a bag:

These are dependent events because the outcome of the first event affects the outcome of the second event. After one candy is removed from the bag, the total number of candies in the bag decreases, which affects the probability of selecting a certain type of candy on the second draw.

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Answer: 4.2

Step-by-step explanation:

The volume of the square based cuboid is 160 cm³.

A rectangular prism is simply a three-dimensional solid shape which has six faces that are rectangles.

The volume of a rectangular prism is expressed as;

V = w × h × l

Since the cuboid has a squared base.

Plug in the given values and solve for the volume.

Volume = w × h × l

Volume = 4cm × 10cm × 4cm

Volume = 160 cm³

Therefore, the volume is 160 cubic centimeters.

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Answer:

The answer I got was 23x +3 because I multiplied the two fives together and that gives you 25x then I subtracted the 2x from the 25x and I got 23x and then I just added the +3 to the end of the 23x and that is how I got 23x +3.

Answer:

k∈(-∞;22]

Step-by-step explanation:

I added a photo of my solution

Answer:

Step-by-step explanation:

The sum of the measures of angles DAC and CAB must equal the measure of angle DAB, since they are adjacent angles that share a common vertex, A. Therefore, we have:

(DAC) + (CAB) = (DAB)

Substituting the given values, we get:

(2y - 7) + (3y + 2) = (DAB)

Simplifying and solving for y, we get:

5y - 5 = (DAB)

y = (DAB + 5) / 5

Now we can find the measure of angle CAB by substituting y back into the given expression for CAB:

<CAB = (3y + 2) = 3[(DAB + 5)/5] + 2 = (3DAB + 17)/5

Therefore, the measure of angle CAB is (3DAB + 17)/5 degrees.

Answer:

225955.2

Step-by-step explanation:

Cost of Raw Materials for 4 years is  =  $ 297,000 $ 459,000  $ 630,000  $ 423,000

Budgeted production refers to the expected level of production that a company plans to achieve during a specific period of time, typically a year. It is a key component of the budgeting process and involves estimating the amount of goods or services that a company will produce and sell in the upcoming period, based on various factors such as market demand, production capacity, and available resources.

                    Direct Materials Budget in Bottles & Grams  

                                                Year 2                                        

                                       First        Second       Third         Fourth      Total

Budgeted production,   60,000     90,000    150,000    100,000    450,000

Add Desired Ending Inventory

20 % 0f the Production   18,000   30,000    20,000      14,000     82,000

Less Beginning Inventory  

36,000/ 3                 12,000     18,000   30,000    20,000      80,000          

D.

Materials         66,000    102,000   140,000    94,000   452,000

Grams in a Bottle       3              3               3                3                 3              

Raw Materials      198,000     306,000   420,000  282,000   1356,000

Costs                      $1.50           $1.50        $1.50          $1.50        1.50          

Costs Raw Materials   $ 297,000 $ 459,000  $ 630,000  $ 423,000

    Total Raw Material Cost is $2,034,000.

"Unit cost of raw materials"

Direct Materials Budget in Bottles & Grams

                                                Year 2                                          Year 3

                                             First        Second       Third         Fourth      First

Budgeted production

Production                       = 60,000     90,000    150,000    100,000    70,000

Desired Ending Inventory  

20 % of the Production =      18,000   30,000    20,000      14,000

Less Beginning Inventory  

36,000/3   =   12,000/18,000  30,000  20,000  14,000  for musk oil.

D.

Materials Budget    =                 66,000    102,000   140,000    94,000

Grams in a Bottle    =                       3              3               3                3          

gms = 198,000 306,000 420,000 282,000 for raw materials

Costs(given)            =               $1.50           $1.50        $1.50          $1.50      

Costs of Raw Materials are $ 297,000, $ 459,000, $ 630,000, and $ 423,000 for 4 years.

Therefore, the correct answer are :

Total Raw Material Cost is $2,034,000.

Cost of Raw Materials for 4 years is  =  $ 297,000 $ 459,000  $ 630,000  $ 423,000

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The complete question is:

Three grams of musk oil are required for each bottle of Mink Caress, a very popular perfume made by a small company in western Siberia. The cost of the musk oil is $1.50 per gram. Budgeted production of Mink Caress is given below by quarters for Year 2 and for the first quarter of Year 3:

Year 2 Year 3

First Second Third Fourth First

Budgeted production, in bottles 60,000 90,000 150,000 100,000 70,000

Musk oil has become so popular as a perfume ingredient that it has become necessary to carry large inventories as a precaution against stock-outs. For this reason, the inventory of musk oil at the end of a quarter must be equal to 20% of the following quarters production needs. Some 36,000 grams of musk oil will be on hand to start the first quarter of Year 2.

Required:

Prepare a direct materials budget for musk oil, by quarter and in total, for Year 2. (Round "Unit cost of raw materials" answers to 2 decimal places.)

Answer: the length of an arc intercepted by an angle in a circle is L = rθ, where L is the length of the arc, r is the radius of the circle, and θ is the central angle in radians.

Using this formula, we can find the length of the arc intercepted by an angle of π radians in a circle with radius 7:

L = rθ = 7π/1 = 7π

Therefore, the length of the arc is 7π units. This is already in its simplest form since π is a constant that cannot be simplified further.

Step-by-step explanation:

The transformation of the function G(x) in the form of y = +A| x - C| + D is -

y = 0.5| x + 1| + 0.5

What is a function?

In mathematics, a function is a unique arrangement of the inputs (also referred to as the domain) and their outputs (sometimes referred to as the codomain), where each input has exactly one output and the output can be linked to its input.

To write the transformation of the function G(x) = 0.5|x+1| in the form y = +A |x - C| + D, we need to find the values of A, C, and D.

First, let's rewrite the given function in the form of |x - C| -

G(x) = 0.5 | x + 1| = 0.5| x - (-1)|

Comparing with the standard form y = A | x - C| + D, we have -

A = 0.5, C = -1

To find the value of D, we need to substitute a point on the graph of G(x) into the function and solve for D.

Let's use the point (-2, 1) -

G(-2) = 0.5|-2+1| = 0.5

So, we get D = 0.5.

Therefore, the transformation of the function is y = 0.5| x + 1| + 0.5.

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Answer:

The formula

Step-by-step explanation:

just do pi times the circle's radius squared.

(pi x r squared)

The minimum time that Melissa will need to accomplish the task are 15 minutes.

To start let's calculate the time she needs to count the sheets Melissa will transfer:

Sheets to be counted: 18 (Melissa can just count 18 sheets rather than 82 as there are 100 sheets in a pack) 100 - 82 = 18.

Time to count 3 sheets: 1 second

1 second = 3 sheets

    x         =  18 sheets

x = 18 x 1  / 3 = 6 seconds

6 seconds + 3 seconds to transfer the package =  9 seconds

Finally, let's calculate the total time by multiplying by the number of packs.

9 x 100 = 900 seconds / 60 =  15 minutes.

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Kimmy went around the track 6 times.

Track practice typically refers to a training session or practice session for athletes who participate in track and field events such as running, jumping and hurdling.

Kimmy's total distance covered during her warm-up, run, and cool-down is:

0.25 km + 2 km + 0.15 km = 2.4 km

To find how many times Kimmy went around the track, we need to convert the total distance to laps.

Since the track is 400 m long, we can divide 2.4 km by 0.4 km to get:

2.4 km ÷ 0.4 km/lap = 6 laps

Therefore, Kimmy went around the track 6 times.

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Answer : 04:48 AM

:)

Answer:

4:58

Step-by-step explanation:

10+18 = 28

28/12 = 2 r4

41+17 = 58

the total area under the normal distribution curve is 0.9632.

How to find  total area under the normal distribution curve?

To find the total area under the normal distribution curve, we can use the standard normal distribution table or a calculator with a normal distribution function. We need to find the areas to the left and right of the given z-scores and add them together.

First, we can find the area to the left of z = -2.15 using the standard normal distribution table or a calculator with a normal distribution function. The area to the left of z = -2.15 is the same as the cumulative probability of a standard normal distribution with a z-score of -2.15. Using a standard normal distribution table or a calculator, we find this area to be 0.0158.

Next, we can find the area to the right of z = 1.62 using the standard normal distribution table or a calculator with a normal distribution function. The area to the right of z = 1.62 is the same as the complement of the cumulative probability of a standard normal distribution with a z-score of 1.62. Using a standard normal distribution table or a calculator, we find the complement to be 0.0526. Therefore, the area to the right of z = 1.62 is 1 - 0.0526 = 0.9474.

Finally, we can add the area to the left of z = -2.15 and the area to the right of z = 1.62 to find the total area under the normal distribution curve:

S = area to the left of z = -2.15 + area to the right of z = 1.62

S = 0.0158 + 0.9474

S = 0.9632

Therefore, the total area under the normal distribution curve is 0.9632.

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In given Histogram, The fraction of shows that was more than half full was 2/3 i.e. C.

What exactly is a histogram?

A histogram is a graphical depiction of numerical data distribution. It entails splitting the data range into intervals or bins and counting how many data points fall into each bin. Bins are often stated as non-overlapping, sequential intervals of a variable. The count or frequency of data points in the respective bin is represented by the height of each bar on the graph. Histograms are often used in statistics to illustrate data distribution and to find trends, outliers, and other data properties.

Now,

Given that

Total shows shown were=3+0+7+10+7+3=30

Show which has more than 150 viewers=1+7+3=20

then,

The fraction of shows that was more than half full =20/30⇒2/3.

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Answer:

Jane is 57  9/20 inches tall.

Step-by-step explanation:

The value of 2 miles = 3520 yards and 3 miles = 5280 yards. 2 yards = 6 feet and 3 yards = 9 feet. 2 feet = 2 x 12 inches = 24 inches and 3 feet = 36 inches.

The International System of Units (SI) units may be used in trade and commerce, grants and other business-related activities, educational information, and as guidelines in publications to improve understanding of the metric system. The SI units may be interpreted or modified for use in the United States by the Secretary of Commerce through the National Institute of Standards and Technology.

Multiply the number of miles by 1760:

1 mile = 1760 yards

2 miles = 2 x 1760 yards = 3520 yards

3 miles = 3 x 1760 yards = 5280 yards

Multiply the number of yards by 3, since there are 3 feet in a yard.

1 yard = 3 feet

2 yards = 2 x 3 feet = 6 feet

3 yards = 3 x 3 feet = 9 feet

Multiply the number of feet by 12, since there are 12 inches in a foot.

1 foot = 12 inches

2 feet = 2 x 12 inches = 24 inches

3 feet = 3 x 12 inches = 36 inches

Hence, the value of 2 miles = 3520 yards and 3 miles = 5280 yards. 2 yards = 6 feet and 3 yards = 9 feet. 2 feet = 2 x 12 inches = 24 inches and 3 feet = 36 inches.

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Answer:

Step-by-step explanation:

Option B is the most expensive, with a total cost of $240 per month if the patient fills 7 prescriptions per month.

To determine which option is the most expensive, we need to calculate the total cost for each option if the patient fills 7 prescriptions per month.

For Option A, the total cost would be:

(7 x $15) + $105 = $210

For Option B, the total cost would be:

(7 x $20) + $100 = $240

For Option C, the total cost would be:

(7 x $10) + $115 = $185

For Option D, the total cost would be:

(7 x $12) + $110 = $194

Therefore, Option B is the most expensive, with a total cost of $240 per month if the patient fills 7 prescriptions per month. The other options are cheaper, with Option C being the least expensive at $185 per month.

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