A country has a nominal Gross Domestic Product (GDP) of $240 billion. If the GDP deflator is 80, what would be the real GDP of the country? Use this formula to calculate the real GDP:\( \frac{nominal \: gdp}{gdp \: deflator} \times 100\)The real GDP of the country is ____ billion.a. 300 billionb. 192 billionc. 350 billion

Answer:

Step-by-step explanation:

\(y=(\frac{1}{g} )x\)

Constant up a proportionally is  \(\frac{1}{g}\).

Answer:8

Step-by-step explanation:

The graph of the function y = 5|x - 4| is added as an attachment

From the question, we have the following parameters that can be used in our computation:

y = 5|x - 4|

The above function is an absolute value function that has been transformed as follows

Next, we plot the graph using a graphing tool by taking not of the above transformations rules

The graph of the function is added as an attachment

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Answer:

i m not sure... whether it's correct or not......

bt I tried my best

When rolling a pair of dice, there are 36 possible outcomes, each representing a unique combination of the numbers on the two dice.

Event A: "at least one die is a 3" is not mutually exclusive with Event B: "at least one die is a 6" or Event C: "the sum is 11"

Event A and Event B are mutually exclusive because when one of the die is a 6, the other die cannot be a 3 and vice versa.

Event A and Event C are not mutually exclusive because there are some outcomes where at least one die is a 3 and the sum is 11. For example (3,8), (4,7) and (6,5) are all outcomes where at least one die is 3 and the sum is 11.

Event B and Event C are not mutually exclusive because there are outcomes where at least one die is a 6 and the sum is 11. For example (5,6) and (6,5) are both outcomes where at least one die is a 6 and the sum is 11.

So, in conclusion, Event A and Event B are mutually exclusive, but Event A and Event C and Event B and Event C are not mutually exclusive.

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Answer:

30% increase

Step-by-step explanation:

percentage increase is calculated as

\(\frac{increase}{original}\) × 100%

increase = $35.10 - $27 = $8.10 , then

percentage increase = \(\frac{8.10}{27}\) × 100% = 0.3 × 100% = 30%

Answer:

Step-by-step explanation:

step 1:       35.10-27 =8.1

step 2:       8.1/27 x 100 = 30%

so therefore = 30% increase

The statement about the unit prices which is true is Kitty Kibbles has a lower unit price of $1.30/pound.

The correct answer choice is option D.

Cost of 16-pound bag of Kitty Kibbles = $20.80

Unit price of kitty kibbles = Price / number of pounds

= $20.80 / 16

= $1.30 per pound.

Cost of 8-pound bag of Feline flavor = $11.20

Unit price of feline flavor = Price / number of pounds

= $11.20 / 8

= $1.40 per pound

Ultimately, the unit price of kitty kibbles and feline flavor is $1.30 and $1.40 respectively.

Complete question:

A 16-pound bag of Kitty Kibbles is $20.80. An 8-pound bag of Feline Flavor is $11.20. Which statement about the unit prices is true?

A. Feline Flavor has a lower unit price of $1.40/pound.

B. Feline Flavor has a lower unit price of $1.30/pound.

C. Kitty Kibbles has a lower unit price of $1.40/pound.

D. Kitty Kibbles has a lower unit price of $1.30/pound.

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Answer:

c

Step-by-step explanation:

because root -1,-4,-5 it can not irrantional

Answer:

ther answer is c :)

Step-by-step explanation:

learning :)

Answer:

11/(x + 1) thus d: is the answer

Step-by-step explanation:

Simplify the following:

(11 (x + 8))/((x + 1) (x + 8))

(11 (x + 8))/((x + 1) (x + 8)) = (x + 8)/(x + 8)×11/(x + 1) = 11/(x + 1):

Answer: 11/(x + 1)

Answer:1244

Step-by-step explanation:

Answer:

Step-by-step explanation:

Use the formula for calculating compound interest PN=P0(1+rk)Nk where N is the unknown, PN=2250, k=1, N=15, and r=0.028. Substitute the values into the formula and simplify.

2250=P(1+0.0281)1⋅15

2250=P(1.028)15

2250=P(1.5132...)

1486.91=P

Rounded to the nearest dollar, Lucy's initial deposit was $1487.

Answer:

It is the distance that –5 is from 5 on the number line.

Step-by-step explanation:

It is the distance that –5 is from 5 on the number line.

Answer:

5 to 5 on the number line!

Step-by-step explanation:

Have a jolly weekend!^_^

Setting x = 0, we get the y-intercept: y = 31/5. So, the equation of the line is y = 6/5x + 31/5.

In geometry, a line intersect is a point where two or more lines cross or meet. When two lines intersect, they share a single point in common, which is called the point of intersection. This point of intersection is the solution to the system of equations formed by the two lines.

by the question.

To find different y-intercepts using the given slopes, we need to use the point-slope form of the equation of a line, which is y - y1 = m(x - x1), where m is the slope and (x1, y1) is a point on the line. To find the y-intercept, we can set x = 0 and solve for y.

For slope 1/5, let's choose the point (2, 3) on the line. Using the point-slope form, we get:

y - 3 = 1/5(x - 2)

y - 3 = 1/5x - 2/5

y = 1/5x + 13/5

Setting x = 0, we get the y-intercept: y = 13/5. So, the equation of the line is y = 1/5x + 13/5.

For slope 3/5, let's choose the point (4, 2) on the line. Using the point-slope form, we get:

y - 2 = 3/5(x - 4)

y - 2 = 3/5x - 12/5

y = 3/5x + 8/5

Setting x = 0, we get the y-intercept: y = 8/5. So, the equation of the line is y = 3/5x + 8/5.

For slope 6/5, let's choose the point (-1, 5) on the line. Using the point-slope form, we get:

y - 5 = 6/5(x + 1)

y - 5 = 6/5x + 6/5

y = 6/5x + 31/5

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Answer:

18 m^2

Step-by-step explanation:

Answer:

\(y < -\frac{2}{9}x-\frac{13}{9}\)

Step-by-step explanation:

\(2x+9y < -13\\9y < -13-2x\\y < -\frac{13}{9}-\frac{2}{9}x\\y < -\frac{2}{9}x-\frac{13}{9}\)

Answer:

The slope intercept form of the given inequality would be \(y < -\frac{2}{9}x-\frac{13}{9}\).

What is "Slope Intercept Form"?

The slope-intercept form, (aka. y = mx + b) of linear equations helps to show us the slope and the y-intercept of the line on a XY plane.

Hope this sort of helps!

The value of diameter and radius of circle is 7 cm and 3.5cm.

According to the statement

we have given that the a figure of circle and we have to find the radius and the diameter of the circle.

So, We know that the

The radius of a circle runs from its center to its edge, the diameter runs from edge to edge and cuts through the center.

Here from the figure it is clear that the

Diameter of circle = 7cm

and the radius of circle we have to find

So,

Radius of circle = Diameter /2

Substitute the values in it then

Radius of circle = 7cm /2

Radius of circle = 3.5 cm.

So, The value of diameter and radius of circle is 7 cm and 3.5cm.

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Answer:

18

Step-by-step explanation:

Answer:

4:5

Step-by-step explanation:

8/10 divided by 2/2 is 4/5

Answer: 375

Step-by-step explanation:

Ruling out each number:

6: In the first two rows, the 6's placement did not change but the clue did, meaning that it is talking about a different number. Otherwise, it would say it's in the right place twice or in the wrong place twice.

3 & 5: Since we know 6 is already ruled out, both 5 & 3 would have to be correct.

2 & 4 & 8: Is proven wrong in the 4th clue.

7: 7 would have to be in the middle since the second clue says it's in the wrong place. If it was 1, it would say it's in the right space.

1: Is proven wrong after 7 is proven true.

Figuring out placement:

5: For the first clue, it says that it's in the correct place meaning that 5 is the last digit.

3: For both of the times 3 appears, it is in the wrong spot, revealing that it's the first digit.

7: In the second clue, it could either be 1 or 7. However, since 3 took the first spot and 5 took the last spot, 7 would have to be in the middle since the clue says it's in the wrong place. If it was 1, it would say it's in the right space.

Answer:

Craft paper = $1.75

Box of markers = $3.60

Glue Sticks = $0.95

Step-by-step explanation:

x = craft paper

y = box of markers

z = glue stick

Jesse's purchase = 3x + 4y + 5z = 24.40

Maria's purchase = 6x + 5y + 2z = 30.40

Charles' purchase = 3x + 2y + z = 13.40

Solve the system of equations:

(x, y, z) = (1.75, 3.6, 0.95)

The exponential function that models the population of tiger gar in the lake is given as follows:

\(y = 322.63(1.25)^x\)

An exponential function has the definition presented as follows:

\(y = ab^x\)

In which the parameters are given as follows:

Considering x as the number of years since 2016, the points are given as follows:

(0, 322), (1, 399), (2, 507), (3, 618), (4, 785), (5, 957).

Inserting these points into an exponential regression calculator, the equation is given as follows:

\(y = 322.63(1.25)^x\)

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Step-by-step explanation:

slope is the number before x so slope here is 3/1 always add the 1 if its a whole number if its a fraction leave it.

y=mx+b

the y-intercept is always be so graphing is now easy

put a dot on the y-intercept so in this case it is 3 on the y-axis. then use rise over run. rise being up and down and run being left and right. so go up 3 then right 1 and put a dot there and connect your 2 lines to make a graph. if the number was -3/1 you go down 3 and right one then but thats just hypothetical

now to make a equation for a point you put it in y=mx+b.

please mark me brainliest if this helped

Answer:

50

Step-by-step explanation:

7,750÷155=50

Answer:

see explanation

Step-by-step explanation:

using the tangent ratio in the right triangle

tan A = \(\frac{opposite}{adjacent}\) = \(\frac{BC}{AB}\) = \(\frac{5}{11}\) , then

∠ A = \(tan^{-1}\) ( \(\frac{5}{11}\) ) ≈ 24.4° ( to 1 decimal place )

tan C = \(\frac{opposite}{adjacent}\) = \(\frac{AB}{BC}\) = \(\frac{11}{5}\) , then

∠ C = \(tan^{-1}\) ( \(\frac{11}{5}\) ) ≈ 65.6° ( to 1 decimal place )

using Pythagoras' identity in the right triangle

the square on the hypotenuse is equal to the sum of the squares on the other two sides, that is

AC² = AB² + BC² = 11² + 5² = 121 + 25 = 146 ( take square root of both sides )

AC = \(\sqrt{146}\) ≈ 12.08 ( to 2 decimal places )

Answer: 0.16

Step-by-step explanation:

Let X be a random variable that represents the heights of women at a large university are approximately bell-shaped, with a mean of 66 inches and standard deviation of 3 inches.

According to the Empirical Rule, for bell-shaped distributions, about 68% of the values fall within 1 standard deviation of the mean.

About 68% woman have height between ( 66-3) inches and (66+3) inches.

i.e. About 68% woman have height between 63 inches and 69 inches.

The percentage of woman have height either less than 69 inches or greater than 69 inches =100% - 68%= 32% [both share equal area on curve.]

The percentage of woman have height  is 69 inches or taller = 32%÷2

= 16%

Hence, the probability that a randomly selected woman from this university is 69 inches or taller =16%=0.16

Answer:

37.17 grams

Step-by-step explanation:

59% of 63 grams = 0.59 × 63 grams = 37.17 grams

The pie chart for the data is given below.

To create a pie chart from the given data, we first need to determine the percentage of each score in relation to the total frequency. Here's the calculation:

Score                    Frequency                        Percentage

60                           2 (2/24) x 100                    = 8.33%

63                            2 (2/24) x 100                     = 8.33%

65                            1 (1/24) x 100                     = 4.17%

67                            1 (1/24) x 100                     = 4.17%

71                            1 (1/24) x 100                     = 4.17%

72                            1 (1/24) x 100                     = 4.17%

73                            2 (2/24) x 100                     = 8.33%

74                            2 (2/24) x 100                     = 8.33%

75                            2 (2/24) x 100                     = 8.33%

76                            1 (1/24) x 100                     = 4.17%

78                            1 (1/24) x 100                     = 4.17%

79                            2 (2/24) x 100                     = 8.33%

80                            1 (1/24) x 100                     = 4.17%

81                            2 (2/24) x 100                     = 8.33%

82                            1 (1/24) x 100                     = 4.17%

84                            1 (1/24) x 100                     = 4.17%

85                            1 (1/24) x 100                     = 4.17%

87                            1 (1/24) x 100                     = 4.17%

88                            1 (1/24) x 100                     = 4.17%

89                            1 (1/24) x 100                     = 4.17%

90                            1 (1/24) x 100                     = 4.17%

92                            1 (1/24) x 100                     = 4.17%

94                            1 (1/24) x 100                     = 4.17%

Now, we can use this information to create a pie chart. The chart will have 24 segments, each representing one score. The size of each segment will correspond to the percentage calculated above.

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Considering the definition of distance between two points, the distance between the points (-2,1) and (5,-4) is √74= 8.6023.

The distance between two points is equal to the length of the segment that joins them. Therefore, to determine the distance between two different points, you must calculate the squares of the differences between their coordinates and then find the root of the sum of said squares.

In other words, the distance between two points in space is the magnitude of the vector formed by said points.

So, given the coordinates of two distinct points (x1, y1) and (x2, y2), the distance between two points is the square root of the sum of the squares of the difference of the coordinates of the points:

distance= \(\sqrt{(x2-x1)^{2} +(y2-y1)^{2} }\)

In this case, you know:

Replacing in the definition of distance:

distance= \(\sqrt{(5-(-2))^{2} +(-4-1)^{2} }\)

distance= \(\sqrt{(5+2)^{2} +(-5)^{2} }\)

distance= \(\sqrt{7^{2} +(-5)^{2} }\)

distance= \(\sqrt{49+25 }\)

distance= √74= 8.6023

Finally, the distance between the points (-2,1) and (5,-4) is √74= 8.6023.

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The required slope of WZ is 3/2 for the given situation.

Since WXYZ is a rectangle, WZ is perpendicular to XY, and the slope of WZ is the negative reciprocal of the slope of XY.

The slope of the line is defined as the angle of the line. It is denoted by m

Consider two points on a line—Point 1 and Point 2. Point 1 has coordinates (x₁,y₁) and Point 2 has coordinates (x₂, y₂)

The slope of XY is:

m = (y₂ - y₁)/(x₂ -x₁ ) = (-7 - (-5))/(-1 - (-4)) = -2/3

The negative reciprocal of -2/3 is:

-1/(-2/3) = 3/2

Therefore, the slope of WZ is 3/2.

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The probability of the baseball player getting exactly 4 hits out of 10 times at bat is approximately 0.161, or 16.1%.

To calculate the probability of a baseball player getting exactly 4 hits out of 10 times he was up at bat, we need to use the binomial probability formula.

The binomial probability formula is given by:P(X = k) = C(n, k) * p^k * (1 - p)^(n - k)

Where:

P(X = k) is the probability of getting exactly k hits

n is the total number of trials (in this case, the player's 10 times at bat)

k is the number of successful trials (in this case, 4 hits)

p is the probability of success in a single trial (in this case, the player's batting average, 0.298)

(1 - p) is the probability of failure in a single trial

Plugging in the values:

P(X = 4) = C(10, 4) * (0.298)^4 * (1 - 0.298)^(10 - 4)

Using the combination formula C(n, k) = n! / (k! * (n - k)!):

P(X = 4) = 10! / (4! * (10 - 4)!) * (0.298)^4 * (1 - 0.298)^(10 - 4)

Calculating the values:

P(X = 4) ≈ 0.161

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