Evaluate the function h(x) =13-x when x=-3,0, and 8

The five-number summary of the given data is: Minimum: 45, Q1: 66.5, Median: 85, Q3: 108.5, Maximum: 125. The boxplot shows the range of values, the median, and any potential outliers.

To compute the five-number summary and draw a boxplot, we need to first sort the data in ascending order

45, 46, 47, 56, 63, 70, 71, 73, 73, 78, 85, 89, 91, 93, 99, 108, 109, 110, 111, 118, 125

The five-number summary consists of the following values

Minimum: 45

First Quartile (Q1): The median of the lower half of the data: (63 + 70) / 2 = 66.5

Median (Q2): The middle value of the data: 85

Third Quartile (Q3): The median of the upper half of the data: (108 + 109) / 2 = 108.5

Maximum: 125

Now, we can draw the boxplot using these values

In the boxplot, the line inside the box represents the median (Q2), and the box represents the interquartile range (IQR) between Q1 and Q3. The whiskers extend from the box to the minimum and maximum values. Any data points outside the whiskers are considered outliers, which are shown as individual points in the plot.

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Answer:

B

Step-by-step explanation:

The annual change of protection will at some point exceed annual change in average salary. Therefore, the correct option is option B.

The ratio of the sum of the values in a particular set to all the values in the set is the mean value, which is the definition of the average. The average formula has several practical uses.

If we were asked to determine the average male height in India or the average age of the men and women in a group, we would add up all the data and divide it by the total number of data points. The annual change of protection will at some point exceed annual change in average salary.

Therefore, the correct option is option B.

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Answer:

0.67

Step-by-step explanation:

z = (x-μ)/σ, where

x is the raw score = 5.6 seconds

μ is the population mean = 5.2 seconds

σ is the population standard deviation = 0.3 seconds

z = 5.6 - 5.2/0.3

z = 0.66667

z score is approximately 0.67

The z-score for a player who runs a time of 5.6 seconds is 0.67

The z-score for a player who runs a time of 5.6 seconds will be approximately 1.33.

The z-score is a numerical measurement used in statistics of the value's relationship to the mean of a group of values, measured in terms of standards from the mean.

The 40 yards sprint times for a soccer team are found to be normally distributed with a mean of 5.2 seconds and a standard deviation of 0.3 seconds.

Then the z-score for a player who runs a time of 5.6 seconds will be

\(z = \dfrac{x-\mu}{\sigma }\\\\\\z = \dfrac{5.6 - 5.2}{0.3}\\\\\\z = \dfrac{0.4}{0.3}\\\\\\z = 1.3333\)

Then the value of the z-score approximately is 1.33.

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Circumference of a circle with equation \((x+2)^{2}+(y-3)^{2}\) = 9 is 6pi.

To find the circumference of a circle with equation  \((x+2)^{2}+(y-3)^{2}\) = 9, we first need to identify its radius, which is the square root of the constant term 9. The radius is therefore 3 units.

The formula for the circumference of a circle is C = 2πr, where C is the circumference, r is the radius, and π is a mathematical constant approximately equal to 3.14159.

Using this formula, we can calculate the circumference of the given circle as:

C = 2πr = 2π(3) = 6π

Therefore, the circumference of the circle with equation  \((x+2)^{2}+(y-3)^{2}\) = 9 is 6π units.

It's important to note that the circumference of a circle is the distance around the edge of the circle. It is an important parameter for many applications in geometry, physics, and engineering, among others. Being able to calculate the circumference of a circle given its equation is a fundamental skill in mathematics and is essential for solving many problems in different fields.

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The assumptions in each case of this statistics problem is given as follows:

ts < tc Do not reject H0

P value > α Do not reject H0

There is insufficient data to determine that the mean scores of the two groups of pupils differ.

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• We are required to find Z so that the area is to the right, this means that the area is to be positive .

• 88 % can be converted to 88/100 = 0.88

• z = 1-0.88 = 0.12

The value tha corresponds with 0.12 = 0.04775

= 0.048

using the cumulative standard normal z score of 0.12 = 0.5478

To rotate a point 180° clockwise about the origin, we essentially need to flip the point across the x-axis and then across the y-axis. So the x-coordinate of point A' is -3.

This means that the x-coordinate of the point will become its opposite (negation) and the y-coordinate of the point will also become its opposite.

So, in this problem, we have the point A with coordinates (3, 2). To rotate this point 180° clockwise about the origin, we will negate both the x and y coordinates of the point:

The negation of 3 is -3, so the new x-coordinate of the point will be -3.

The negation of 2 is -2, so the new y-coordinate of the point will be -2.

Putting these together, we get the new coordinate of the point A' as (-3, -2).

So the x-coordinate of point A' is -3.

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Answer: your discount is 25%

Step-by-step explanation: basically if your original price was $88 and  if you discount at 25% which is $22 u get $66 as final price

Answer:

0

Step-by-step explanation:

All the numbers equal each other out.

for example:

-6+6=0

so if you have -6+-5+-4+-3+-2+-1+0+1+2+3+4+5+6, all of the numbers equal each other out.

Hope this helps!

Answer:

15

Step-by-step explanation:

let total num of boys be X.

then,2/5 of X = 8

2 ×x = 40

X = 20

Now, let the total num of students be y,then we get,

4/7 of y = 20

4 × y = 140

y = 35

similarly, total num of girls = total num of students - total num of boys

= 35 - 20

= 15 ans

The coordinates of A' and C' will not be the same. The perimeter and area of ΔA'B'C' will be the same. The measure of ∠B' and the slope of A'C' will be the same.

Transformation is rearranging a graph by a given rule it could be either increment of coordinate or decrement or reflection.

If we reflect any graph about y = x then the coordinate will interchange it that (x,y) → (y,x).

As per the given translation,

2 units down and 3 units right

The coordinate will change as,(x,y) → (x+3,y-2) so it will change.

The transformation consists only of linear transformation no rotation exists thus area and perimeter will remain the same.

The slope and angle are unchanged irrespective of any transformation.

Hence "A' and C' will not have the same coordinates. The boundaries and surface area of ΔA'B'C' will be identical. The slope of A'C' and the measure of ∠B will be equal.".

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Prem purchased a plot for ₹1.1 lakh and its price increased at an annual rate of 5%.Ram's flat had a higher value than Prem's plot, Prem paid Ram the difference, which was ₹0.118 lakh or ₹11,800. Ram's flat is more valuable than Prem's plot of land

After two years, the value of Ram's flat would be ₹1.1 lakh + (10% of ₹1.1 lakh × 2 years) = ₹1.43 lakh.

Similarly, the value of Prem's plot of land would be ₹1.1 lakh + (5% of ₹1.1 lakh × 2 years) = ₹1.21 lakh.

Therefore, the difference in value between Ram's flat and Prem's plot of land is ₹1.43 lakh - ₹1.21 lakh = ₹22,000.

Ram would have to pay ₹22,000 to Prem as Ram's flat is more valuable than Prem's plot of land.

Ram purchased a flat for ₹1.1 lakh and its price increased at an annual rate of 10%. After two years, the flat's value would be:

1.1 lakh * (1 + 0.1)^2 = 1.1 lakh * 1.21 = ₹1.331 lakh

Prem purchased a plot for ₹1.1 lakh and its price increased at an annual rate of 5%. After two years, the plot's value would be:

1.1 lakh * (1 + 0.05)^2 = 1.1 lakh * 1.1025 = ₹1.213 lakh

After exchanging their properties, the difference in value is:

₹1.331 lakh (flat) - ₹1.213 lakh (plot) = ₹0.118 lakh

Since Ram's flat had a higher value than Prem's plot, Prem paid Ram the difference, which was ₹0.118 lakh or ₹11,800.

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The logic gates diagram representing the given expression Y = (A AND B)' NAND (C AND B')' is as follows:

    ----       ----       ----

A --|    |     |    |     |    |

   | AND|-----| NAND|-----|    |

B --|    |     |    |     | Y  |

    ----       ----       ----

     |

C --|          ----

   |         |    |

B' -| NOT   --| AND|

             |    |

              ----

The given expression involves the logical operators AND, NAND, and NOT. We can represent these operators using logic gates. The AND gate takes two inputs, A and B, and produces an output that is true (1) only when both inputs are true. The NAND gate is a combination of an AND gate followed by a NOT gate. It produces an output that is the complement of the AND gate output. The NOT gate takes a single input and produces the complement of that input.

In the diagram, the AND gate represents the expression (A AND B). The NOT gate represents the complement of that expression, which is (A AND B)'. The AND gate, followed by the NOT gate, represents (C AND B'). Finally, the NAND gate combines the outputs of the two sub-expressions, resulting in the output Y.

By connecting the appropriate inputs to the gates as shown in the diagram, we can implement the given logic expression using logic gates.

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Answer:

See table below

Explanaton:

Given

Total people = 1432 people

Number of people tthat eat breakfast and take daily vitamins = 384

percentage = 384/1432 * 100%

Percentage = 38400/1432

Percentage = 21.82%

Number of people that eat breakfast with no daily vitamins = 476

percentage = 476/1432 * 100%

Percentage = 47600/1432

Percentage = 33.24%

Number of peoplewith no breakfast and take daily vitamins = 268

percentage = 268/1432 * 100%

Percentage = 26800/1432

Percentage = 18.72%

Number of peoplewith no breakfast and no daily vitamins = 304

percentage = 304/1432 * 100%

Percentage = 30400/1432

Percentage = 21.23%

Find the table below;

Answer:

Answers below

Step-by-step explanation:

1. The first expression tells the total number of students as well as the male students.  This means you only have to subtract to find the female number

7x^2+8x-16-(3x^2+14); Simplify

4x^2+8x-30, if you wanted it factored then if would be this;

2(2x^2+4x-15).

2. For this one you add the polynomials.

x^2-9x+11+2x^2+4x-5; Simplify

3x^2-5x+6

3. Ok, for this one you have the number of miles traveled on Monday and Tuesday ( x^2+8x-13+(x^2+10)) and the total numbers traveled from Mon.-Wed (2x^2+20x+19).  So, you first need to add Monday and Tuesday and then subtract that amount from the total of miles on Mon.-Wed.

( x^2+8x-13+(x^2+10))

=2x^2+8x-3

2x^2+20x+19-(2x^2+8x-3)

=12x+21, or if you wanted it factored;

3(4x+7)

The equation to represent the total amount she has saved each month is y = 1200 + 350x

Amount Brynn has in her savings = $1,200

Additional savings per month= $350

Number of months= x

Total amount Brynn saved = x

y = 1200 + 350x

Where,

the rate of change = 350

the initial value = 1200

the independent variable = x

the dependent variable y

Therefore, y = 1200 + 350x is the equation to represent Brynn savings.

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The solutions for the expressions are given as follows:

6. y = 12.

7. w = -20.

8. x = 30.

The expression is given by:

4/3y = 16.

Applying cross multiplication:

4y = 48

y = 48/4

y = 12.

The expression is given by:

w/(-2.5) = 8

Applying cross multiplication:

w = -2.5 x 8

w = -20.

The expression is given by:

(1/5)x - 2 = 4.

Isolating x:

(1/5)x = 6.

Applying cross multiplication:

x = 6 x 5

x = 30.

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Answer:

7/100

Step-by-step explanation:

7 yellow, 6 blue, 9 red, and 3 green ribbons in a drawer

Total ribbons = 25 ribbons

P( yellow) = yellow / total = 7/25

Then not replaced

6 yellow, 6 blue, 9 red, and 3 green ribbons in a drawer

Total ribbons = 24 ribbons

P( blue) = blue / total = 6/24 = 1/4

P(a yellow ribbon and then a blue ribbon) = 7/25 * 1/4 =7/100

Answer:

A: \(\frac{7}{100}\)

Step-by-step explanation:

There are 25 ribbons total. The probability would be out of the 25 ribbons.

(1):

Yellow: \(\frac{7}{25}\)

Blue:\(\frac{6}{25}\)

Red:\(\frac{9}{25\\}\)

Green:\(\frac{3}{25}\)

When removing a ribbon that can't be replace, it'll leave you with a total of 24 ribbons.

(2):

Yellow: \(\frac{6}{24}=\frac{1}{4}\)

Blue: \(\frac{5}{24}\)

Red:\(\frac{8}{24}=\frac{1}{3}\)

Green:\(\frac{2}{24}=\frac{1}{12}\)

Multiply {(1) × (2)}:

Yellow:\(\frac{7}{25}\) ×\(\frac{6}{24}\) = \(\frac{7}{100}\)

Blue:\(\frac{6}{25}\) × \(\frac{5}{24}\) = \(\frac{1}{20}\)

Answer:

excfvgbhnj

Step-by-step explanation:

D. y + 5 = - (x - 5 )

Answer:

8/35

Step-by-step explanation:

1/5 = 7/35

4/7= 20/35

7/35 + 20/35 = 27/35

35- 27= 8

8/35

fraction spent on garri = 8 /35

She spent 1 /5 of her money on sweet and 4 / 7 on provisions and the remainder on garri.

let

x = money she had

Therefore,

amount spent on sweet = 1 / 5 x

amount spent on provision = 4 / 7 x

Remainder on garri = x - 1 / 5x - 4 /7 x = 8 / 35 x

Therefore, the fraction of her money she spent on garri  = 8 /35

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Answer:

In the first data set, there is little variation in the prices. Half of the books cost between $3 and $7, with one-fourth of the books priced between $5.40 and $7. This is easy to read from the graph, since the medians divide the data into 4 equal groups.

In the second data set, there is a large range of prices. There is no simple description of the data. Looking at the graph, there are 3 "halves" of the data: $7 to $66 or $59, $26.80 to $81.40 or $54.50, and $66 to $99 or $33. This range of values does not give much information about general book prices.

Step-by-step explanation:

used this on my test and it was 100% correct.

The value of m in the slope - intercept line model represents ;

The value of m is known as the slope of the line. The slope of a line is defined as the ratio of the change in y (the rise) to the change in x (the run) between any two points on the line.

The concept of steepness refers to how quickly the line rises or falls with respect to the horizontal distance. The concept of slant refers to the angle at which the line is oriented with respect to the horizontal. The slope of a line is a quantitative measure of its steepness and slant.

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Answer:

Sample space: 6 Total options: 9

Step-by-step explanation:

The sample space is the amount of variables, this being 6 in total. The options are the total amount of configurations possible with the sample space, this being nine.

I haven't done this in a while so my answer may not be the most reliable, I would use another source if you are still unsure. Good luck!

Given the number 64,473

From the right:

• Unit digit = 3

• Tens digit = 7

• Hundred digit = 4

• Thousand digit =4

• Ten thousand digit =6

To round 64,473 to the nearest thousand, we first identify the thousand digit.

Thousand digit = 4

Next, identify the number after the thousand digit.

The number after the thousand digit = 4

When rounding numbers:

• If the number after the required number place is (0,1,2,3,4), we simply write the number.

• If the number after the required number place is (5,6,7,8,9), we round up.

Since the number after the thousand digit is 4. we therefore have that:

64,473 rounded to the nearest thousand = 64,000

Answer:

r=3/4

Step-by-step explanation:

(135/2) / 90 = 0.75

(405/8) / (135/2) = 0.75

0.75 = 3/4

Answer:

2

Step-by-step explanation:

a) Alan needs to invest $29,174.84 at the end of each of the next 15 years to be able to buy the property when he retires.

b) Alan should invest in NRL Bank as he only needs to save $17,040.07 per year to be able to buy the property when he retires.

c) Alan must earn a minimum of $97,249.47 each year if the savings equate to 30% of his pre-tax earnings.

a) Given, Future value of vineyard and surrounding land = $1,000,000,

Number of years until Alan retires = 15 years,

Interest rate offered by DMD Bank = 8%,

Rate at which the vineyard grows per annum = 6%.

Let the amount Alan needs to invest each year to be able to buy this property be x dollars.

Using the future value formula,

FV = PV(1 + r)n

FV = $1,000,000 (as this is the future value we want to reach)

PV = x (the amount we need to save each year)

n = 15

r = 8%

Now we can calculate x using the formula:

x = PV / [(1 + r)n - 1]

x = $29,174.84

Thus, Alan must invest $29,174.84 at the end of each of the next 15 years to be able to buy this property when he retires.

b) Interest rate offered by NRL Bank = 7.5%, compounded quarterly.

Using the formula for compound interest, we can calculate the future value at the end of 15 years:

FV = PV (1 + r/n)nt

Here, PV = $0,

n = 4 (compounded quarterly),

r = 7.5% per annum (which needs to be converted to quarterly rate),

t = 15 years.

Converting the annual rate to quarterly rate, we get,

i = r / n = 7.5% / 4 = 1.875% per quarter

Thus, FV = x (1 + i)4*15 = x (1.019526)60

Equating FV with $1,000,000, we get:

1,000,000 = x (1.019526)60

x = $17,040.07

Thus, Alan should invest in NRL Bank as he needs to save only $17,040.07 per year to be able to buy this property when he retires.

c) We found that Alan needs to save $29,174.84 each year to be able to buy the vineyard when he retires.

According to the question, the amount he needs to save is equal to 30% of his pre-tax earnings.

Let Alan's pre-tax earnings be E dollars.

So, 30% of his pre-tax earnings = 0.3E

If he saves $29,174.84, then

0.3E = $29,174.84

E = $97,249.47

Therefore, Alan must earn a minimum of $97,249.47 each year if the savings equates to 30% of his pre-tax earnings.

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Answer:

Its c

Step-by-step explanation:

Answer: Approximately 28 km

The more accurate, yet still approximate value, is roughly 27.995735464379

Round that however you need to.

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

Explanation:

As the diagram shows, the uppercase letters A,B,C represent the corner points of the triangle. They also represent the angles. The diagram says that:

The missing angle C is....

A+B+C = 180

C = 180-A-B

C = 180-59-91

C = 30

which we'll use later.

Convention usually has the side lengths be lowercase letters 'a', b, and c. Those lowercase letters are opposite their uppercase counterpart. We'll have side 'a' opposite angle A, then b is opposite B, and c is opposite C. This allows us to quickly label a triangle and find the missing sides and/or angles. The phrasing "solve the triangle" basically means "find all the missing sides and angles". For this problem, we're only concerned with one side.

The diagram says that side c = 14 due to it being opposite angle C.

The goal is to find side b, which is the shorter way of saying "find AC".

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

From here, we can use the law of sines to find side b

b/sin(B) = c/sin(C)

b/sin(91) = 14/sin(30)

b = sin(91)*14/sin(30)

b = 27.995735464379 which is approximate

b = 28

Side AC is roughly 28 km long.

I rounded to the nearest whole number since the "14 km" is also a whole number. Your teacher may want you to round differently.

Make sure your calculator is in degree mode.