In the Republic of Yemen, real per capita gross domestic product (GDP) in 2004 was $709.97. By 2005, it had increased to $832.84. At what rate did Yemen's economy grow in that time?

Answer:

15, 22, 88

Step-by-step explanation:

I assume you mean the second number is 7 more than the first.  Write the system of equations:

x + y + z = 125

y = x + 7

z = 4y

Substitute the third equation into the first.

x + y + 4y = 125

x + 5y = 125

Substitute the second equation.

x + 5(x + 7) = 125

6x + 35 = 125

6x = 90

x = 15

Solve for the other variables.

y = 22

z = 88

Answer:

Danielle score must be 18

Answer:

  (d)  19

Step-by-step explanation:

The average of a set of numbers is their sum, divided by the number of numbers in the set.

Let s represent the score Danielle must get on her sixth test. Then her average will be ...

  average = (17 +19 +20 +14 +16 +s)/6

Danielle wants that to be 17.5, so we have ...

  17.5 = (86 +s)/6

Multiplying by 6, we get ...

  105 = 86 +s

  19 = s . . . . . . . . subtract 86

Danielle must score 19 on her 6th test to have a mean of 17.5.

__

Additional comment

We can also figure this by considering the deviations from the average Danielle wants. They must total zero. The sum of deviations of the given scores is ...

  (17 -17.5) +(19 -17.5) +(20 -17.5) +(14 -17.5) +(16 -17.5)

  = -0.5 +1.5 +2.5 -3.5 -1.5 = -1.5

To bring the total to zero, Danielle must score 17.5 +1.5 = 19.

The new coordinate for the hole in building 2 with coordinate (0, 3) after reflection across y-axis would be (0, 3)

Reflection over the y-axis is a transformation in which each point in a given shape or graph is reflected across the y-axis.

This transformation involves taking every point (x, y) in the original shape and mapping it to a new point (-x, y) that is the same distance from the y-axis but on the opposite side.

We can therefore say that the transformation rule for this case is

(x, y) → (-x, y)

Using the given coordinate we have that

(0, 3) → (-0, 3)

since -0 = 0 the transformation will result to same coordinates

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Answer:

x=6

Step-by-step explanation:

collect like terms

7x-3x=20+4

4x=24

x=

Answer:

\(x=6\)

Step-by-step explanation:

\(7x-4=20+3x\)

Add 4 to both sides.

Subtract 3x from both sides.

Divide both sides by 4.

-Hope this helps!

The biconditional for the conditional statement is : Two line intersect each other at right angles . The two lines are perpendicular.

A conditional statements are part of mathematical reasoning, a fundamental ability that enables students to evaluate a given hypothesis without reference to a particular context or meaning.

The truth value for the conditional statement is true as we know that when two lines intersect at 90° then they are said to be perpendicular.

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Answer:

8

Step-by-step explanation:

180=90+40+6x+2

180=132+6x

48=6x

x=8

Answer:

x=4 i think havent done this in a long time

Step-by-step explanation:

Answer:

Step-by-step explanation:

Step-by-step explanation:

a= c-b pls let me know if it is correct or not

(-3, 3) and (4, -1) are the points that can be used to form a right triangle to derive the distance formula to find the length of the line segment

Given the line on the xy-plane, we are to determine the points on the line that can be used to determine the distance between the two points.

The required points on the line will be the two endpoints on the line. The end points are (-3, 3) and (4, -1). The distance between this points is expressed as:

D = √(-1-3)²+(4+3)²
D = √14 + 49
D = √63

Hence the points that can be used to form a right triangle to derive the distance formula are (-3, 3) and (4, -1)

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Answer: It’s -1,-3

Step-by-step explanation:

got 100 on the test

Answer:

y = (1/4)x + 5/2

Step-by-step explanation:

The lines slope needs to be opposite of the equation's so its positive (1/4)

This is the only slope listed that is that number so no need to calculate for the y value!

Answer: Sam was 2.5 Km far from his house

Step-by-step explanation:

Sam's parents gave him a map to reach his house.

As per Map Sam was =1.5cm from his home.

To find actual distance from house

If we consider actual distance  of sam house =X

We have,

If each 3 cm on scale drawing equals 5 km

We know on map 3cm  = 5Km

If 1.5 cm = X Km

We need to cross multiple

 3X =1.5 × 5

 3X = 7.5

X= 7.5÷3

X= 2.5 Km

Sam was 2.5 Km far from his house.

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Answer:

7y-10y ≤ 9+3

-3y ≤ 12

y ≤ 12/-3

y ≤ -4

Answer:

{-3, -1, 1}

Step-by-step explanation:

Zeros refer to x-intercepts. X-intercepts are x values when y = 0. You can tell where they are by looking at where the line passes the x-axis.

Therefore, {-3, -1, 1} are the zeros.

For the fractions, the calculation of 3/5 of 2/3 of 3/4 of 560 is equal to 168.

To calculate 3/5 of 2/3 of 3/4 of 560, break it down step by step:

Step 1: Calculate 3/4 of 560:

3/4 × 560 = (3 × 560) / 4 = 1680 / 4 = 420

Step 2: Calculate 2/3 of the result from Step 1:

2/3 × 420 = (2 × 420) / 3 = 840 / 3 = 280

Step 3: Calculate 3/5 of the result from Step 2:

3/5 × 280 = (3 × 280) / 5 = 840 / 5 = 168

Therefore, 3/5 of 2/3 of 3/4 of 560 is equal to 168.

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Answer:

a

it's so easy why ask this question?

Answer: 24.45 miles apart

Step-by-step explanation:

because if its 1.5 inches apart so we already know 1 inch is 16.3 then half and inch is 8.15 so 16.3+8.15 is 24.45

1.) The probability that the sample mean will be greater than 48 minutes is 0.9332.

2.) The probability of the sample mean being between 44 and 49 minutes is 0.6687.

3.) The z-score of 10 indicates that the sample mean of 65 minutes is 10 standard deviations above the population mean.

To solve this problem, we can use the Central Limit Theorem (CLT), which states that the distribution of sample means tends to be approximately normally distributed, regardless of the shape of the original population, when the sample size is large enough.

1.) Probability of sample mean > 48 minutes:

To calculate this probability, we need to standardize the sample mean using the formula: z = (x - μ) / (σ / √n), where x is the sample mean, μ is the population mean, σ is the population standard deviation, and n is the sample size.

In this case, the population mean (μ) is 45 minutes, the population standard deviation (σ) is 12 minutes, and the sample size (n) is 36. We want to find the probability of the sample mean being greater than 48 minutes.

Calculating the z-score:

z = (48 - 45) / (12 / √36) = 3 / 2 = 1.5

Using a standard normal distribution table or calculator, we find that the probability corresponding to a z-score of 1.5 is approximately 0.9332. Therefore, the probability that the sample mean will be greater than 48 minutes is approximately 0.9332.

2.) Probability of sample mean between 44 and 49 minutes:

To calculate this probability, we need to find the z-scores for both 44 and 49 minutes and then calculate the area between those z-scores.

Calculating the z-scores:

For 44 minutes:

z1 = (44 - 45) / (12 / √36) = -1 / 2 = -0.5

For 49 minutes:

z2 = (49 - 45) / (12 / √36) = 4 / 2 = 2

Using the standard normal distribution table or calculator, we find the probabilities corresponding to z1 and z2:

P(z < -0.5) ≈ 0.3085

P(z < 2) ≈ 0.9772

The probability of the sample mean being between 44 and 49 minutes is approximately P(-0.5 < z < 2) = P(z < 2) - P(z < -0.5) ≈ 0.9772 - 0.3085 = 0.6687.

3.)Conclusion from 100 samples with a mean of 65 minutes:

If 100 samples were collected, and the sample mean was 65 minutes, we would need to assess whether this value is significantly different from the population mean of 45 minutes.

To make this assessment, we can calculate the z-score for the sample mean of 65 minutes:

z = (65 - 45) / (12 / √36) = 20 / 2 = 10

The z-score of 10 indicates that the sample mean of 65 minutes is 10 standard deviations above the population mean. This is an extremely large deviation, suggesting that the sample mean of 65 minutes is highly unlikely to occur by chance.

Given this, we can conclude that the sample mean of 65 minutes is significantly different from the population mean. It may indicate that there is a systematic difference in the delivery times between the sample and the population, possibly due to factors such as increased demand, traffic, or other external variables

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Answer:

Three

Step-by-step explanation:

Assuming the grade score from 70 to 100 is A; for grade score from 60 to 69 is B and grade score from 50 to 59 is C. Well it is certain there are three peaks in the distribution of scores

Answer:

6 hundred

Step-by-step explanation:

the value of 6 in 2693 is 6 hundred as :-

TH. H. T. O

2. 6. 9. 3

6 comes under the hundred's value

plzzz mark me as brainliest

Answer:

6 hundred

Step-by-step explanation:

tama po yan im suree lab yow

Answer:

$ 7770.81

Step-by-step explanation:

2.5 % each year means the car retains  97.5 % ( or .975 in decimal)  of its value per year

    8599 ( .975) ^4  = $ 7770.81

The area of the circle having a radius of 10 ft will be 100π.

The space occupied by any two-dimensional figure in a plane is called the area. The space occupied by the circle in a two-dimensional plane is called the area of the circle.

Given that the radius of the circle is 10 ft. The area of the circle is calculated by the formula written as below,

Area of the circle = πr²

Substitute the value of the radius in the formula and calculate the area of the circle.

Area of the circle = πr²

Area of the circle = π x ( 10 ) ²

Area of the circle = 100π square ft

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Based on the information in the triangle, the measure of ZDEB is 54°.

A triangle is a polygon with three sides and three angles. It is one of the basic shapes in geometry. Triangles are commonly represented by drawing three line segments that connect three non-collinear points. The points where the line segments intersect are called the vertices of the triangle, and the line segments themselves are the sides of the triangle.

The sum of the measures of the angles of a triangle is 180 degrees. Therefore,

mZAEC + m/AED + mZDEB = 180

(2x+4) + (5x+1) + mZDEB = 180

7x+5 = 180

7x = 175

x = 25

mZDEB = 2x+4 = 2(25)+4 = 54 degrees

Hence, the answer is 54

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The measures of angle 4 (m<4) and angle 7 (m<7) are 42° and 96°, respectively.

To find the measures of angles 4 and 7, we need to apply some geometric principles. Since the top and bottom pieces of the crib are parallel to each other, we can use the property of alternate interior angles.

Angle 4 (m<4) is formed by a transversal (the line connecting the top and bottom pieces of the crib) intersecting two parallel lines. Given that angle m<2 is 42°, we know that angle 4 is congruent to angle 2. Therefore, m<4 = m<2 = 42°.

Angle 7 (m<7) is formed by a transversal intersecting two parallel lines as well. However, in this case, angle 7 is an exterior angle, which is equal to the sum of the two remote interior angles. The remote interior angles are angles 2 and 4. We know that m<2 = 42° (as given) and m<4 = m<2 = 42° (as explained above). Therefore, the sum of angles 2 and 4 is 42° + 42° = 84°. Since angle 7 is an exterior angle, it is equal to 180° minus the sum of the remote interior angles. Thus, m<7 = 180° - 84° = 96°.

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78

1) Since we have a Combination, we can write out the following formula:

Note that we canceled 11! on the numerator by the factorial of 11! on the denominator. And notice this is only possible when the order does not matter.

2) Hence, the answer is 78 because there are 78 combinations of 13 choosing 11.

Answer:

Elijah is 8.

Step-by-step explanation:

8 x 5 = 40 (Jackie is 40)

40 + 8 is 48!

Answer:

97.9% sure its 8

Step-by-step explanation:

The length of the segment is 2.4 centimeters.

The scale is 2.4 cm :24 mm.

How to change mm to cm?

One millimeter, or one-thousandth of a meter, is equal to one mm. One centimeter, also known as one hundredth of a meter, is equal to one centimeter.

Accordingly, 1 cm 10 mm. Divide the number of mm by 10 to get the number of cm when converting mm to cm.

Given that length of the segment is 24mm. now we know that,1 mm is equal to 0.1 cm,

So,

\(10 \: mm=1 \: cm \\ or, \: 1 \: mm = \frac{1}{10} \: cm \\ or, 24 \: mm × ( \frac{1}{10} ) = 2.4 \: cm.\)

The scale is 2.4 cm :24 mm.

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Based on these samples, a generalization which can be made include the following: A. the morning shift workers sold less units than the afternoon shift workers.

In Mathematics, a box plot is sometimes referred to as box-and-whisker plot and it can be defined as a type of chart that can be used to graphically or visually represent the five-number summary of a data set with respect to locality, skewness, and spread.

Based on the information provided about the samples, we can reasonably infer and logically deduce that the number of units that were sold by the morning shift workers is than those of the afternoon shift workers because in all of the measures of center (mean, median, mode, and range) the first row is smaller than the second.

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SOLUTIONS

Use composition to determine if G(x) or H(x) is the inverse of F(x) across the domain x≥-7

The inverse of the function of f(x) is

Hence the inverse of the function

Neither of the function of the f(x) is inverse

Option B