the percent of decrease from 12 to 9.

Answer:

D. 52

Step-by-step explanation:

105/2=52

The middle of 110 and 100 is 105. When you divide that by 2 you get 52.5 or 52. The answer is D

Answer:

D 52 is the answer

Answer:

Hope the picture will help you.....

Carman buy the video game in the cost of $45.

A number or ratio that can be expressed as a fraction of 100 or a relative value indicating hundredth part of any quantity is called percentage.

We have to given that;

Carman has saved 80% of the money she needs to buy a new video game.

And, she saved the cost $36.

Let total cost of the video game = x

So, We can formulate;

⇒ 80% of x = $36

⇒ 80/100 × x = 36

⇒ 8x = 360

⇒ x = $45

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When swerving, there are a number of factors that come into play, including traction, lean, load triangle, and being upright. Swerving in a straight line can be relatively easy, as the rider only needs to make minor adjustments to maintain balance.

When comparing swerving in a straight line to swerving in a curve, the key differences involve traction and maintaining an appropriate lean angle.
Swerving in a curve requires more traction than swerving in a straight line. Traction is essential for maintaining control of your vehicle, especially when navigating curves. As you swerve in a curve, your tires need to have a good grip on the road surface to prevent skidding or losing control.
Additionally, managing lean angles is more critical when swerving in a curve. To maintain balance and control, you must avoid leaning too much, as it can cause the vehicle to tip over or slide out. In a curve, the lean angle needs to be adjusted appropriately to match the curve's radius, while also considering your speed and road conditions.
In summary, swerving in a curve requires more traction and careful management of lean angles compared to swerving in a straight line. The load triangle and keeping the vehicle upright are important, but they are not the primary factors that make swerving in a curve more challenging than swerving in a straight line.

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Richard earned a cumulative GPA of 2.5 in all four semesters.

Here, we know that the cumulative GPA for the first 3 semesters is 2.0

He had earned 42 credits in total in all three semesters.

Cumulative GPA = Total points earned/credits rewarded

Hence,

Total points earned in 3 semestes= 2 X 42

= 84 points

In the fourth semester,

he had earned 14 credits with a GPA of 4.0

Hence total points earned = 4 X 14

= 56 points

Therefore, total points earned in all four semesters = 84 + 56 points

140 points

Total credits = 14 + 42

= 56

Hence, the cumulative GPA of all 4 semesters

= 140/56

= 2.5 points.

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The median number of hours spent on homework each week is 10 hours.

The maximum time spent on homework is 18 hours.

The percentage of students spending between 8 and 13. 5 hours on homework is 50 %.

The interquartile range is 5. 5 hours.

The line inside the box in the box plot on hours spent doing homework is the median which is 10 hours.

The maximum time would be the point where the line ends to the right which is 18 hours.

The box shows 50 % of the data set so the percentage of students spending between 8 and 13. 5 hours on homework is 50 %. The interquartile range is :

= Q3 ( where box ends ) - Q 1 ( where box begins )

= 13.5 - 8

= 5. 5 hours

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Answer:

\(\bold{y=1.5\times 2^x+4}\)

Step-by-step explanation:

Given:

Exponential function with common ratio 2.

Horizontal asymptote at y = 4

Passes through point (2, 10)

To find:

Equation of the exponential function ?

Solution:

Equation for an exponential function may be given as:

\(y=ab^x+c\)

Where b is the common ratio and

c is the y value of horizontal asymptote.

\((x, y)\) are the points on the function.

We are given that:

b = 2

c = 4

Let us put all the given values and find equation.

\(y=a\times 2^x+4\)

Now, let us put \(x = 2, y = 10\) to find the value of a.

\(10=a\times 2^2+4\\\Rightarrow a\times 2^2=10-4\\\Rightarrow a\times 4=6\\\Rightarrow a =1.5\)

\(\therefore\) the equation of exponential function is:

\(\bold{y=1.5\times 2^x+4}\)

The vertex of the translated quadratic equation is:

(6, -4)

We know that we have a quadratic function f(x), such that the vertex is at (4, -4).

Here we have the translated function:

g(x) = f(x - 2)

Notice that this is a translation of 2 units to the right

Now, remember that the vertex of f(x) is at f(4), then the vertex of g(x) is at the value of x such that:

x - 2 = 4

x = 4 + 2

x = 6

So the vertex of g(x) is (6, -4)

(the y-value of the vertex does not change).

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Answer: Polynomials are algebraic expressions that consist of variables and coefficients.

Step-by-step explanation:

Answer:

an expression of more than two algebraic terms, especially the sum of several terms that contain different powers of the same variable(s).

The percentage mark-up of the goods is 69 percent.

The mark-up percentage is calculated by subtracting the unit cost from the selling price, dividing by the unit cost and multiplying times 100.

Therefore, the buyer for a chain of stores purchased tables in bulk, paying $200 each. The stores will sell each table for $338.

Hence, the percentage mark-up can be calculated as follows:

percentage mark-up = 338 - 200 / 200 × 100

percentage mark-up = 138 × 100 / 200

percentage mark-up = 13800 / 200

percentage mark-up = 138 / 2

percentage mark-up = 69 %

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Answer:

we cannot answer your question because there is not enough information, please repost the question with more information, correctly this time.

Step-by-step explanation:

the pic is not clear do you mind making it clear

Phyllis invested $7000 at a rate of 7 (1)/(2)% per year, and the remaining amount of $2500 at a rate of 7% per year.

Let the amount invested by Phyllis be = x dollars

Rate = 7 (1)/(2)% per year,

Let the amount invested at 7% be = (9500 - x) dollars

Calculating the interest earned on each investment -

Interest = Principal x Rate x Time

Calculating the first investment -

First interest = x x (7.5/100) x 1

Calculating the second investment:

Second interest = (9500 - x) x (7/100) x 1

Framing the equations to calculate total amount as per given rates -

First interest + Second interest = 700

= x x (7.5/100) + (9500 - x) x (7/100) = 700

= 0.075x + 0.07(9500 - x) = 700

= 0.075x + 665 - 0.07x = 700

= 0.005x = 35

= x = 35 / 0.005

x = 7000

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To solve this equation, we need to distribute the 5/8 to the terms inside the parentheses. The solution to the equation is d = -5.

5/8(16d+24) = (5/8)(16d) + (5/8)(24)

Simplifying this expression, we get:

10d + 15 = 6d - 5

Now we can solve for d by isolating the variable on one side of the equation. First, we'll subtract 6d from both sides:

4d + 15 = -5

Next, we'll subtract 15 from both sides:

4d = -20

Finally, we'll divide both sides by 4:

d = -5

Therefore, the solution to the equation 5/8(16d+24)=6(d-1)+1 is d = -5.

5/8(16d+24)=6(d-1)+1. Here's a step-by-step explanation:

1. First, distribute 5/8 to both terms inside the parentheses on the left side:
  (5/8 * 16d) + (5/8 * 24) = 6(d - 1) + 1

2. Simplify the terms on the left side:
  (10d) + (15) = 6(d - 1) + 1

3. Next, distribute 6 to both terms inside the parentheses on the right side:
  10d + 15 = 6d - 6 + 1

4. Simplify the terms on the right side:
  10d + 15 = 6d - 5

5. Now, move all terms with 'd' to the left side and constants to the right side by subtracting 6d from both sides and subtracting 15 from both sides:
  10d - 6d = -5 - 15

6. Simplify both sides of the equation:
  4d = -20

7. Finally, solve for 'd' by dividing both sides by 4:
  d = -5

So, the solution to the equation is d = -5.

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It is given that the point G lies on the line segment FH and divides it in the ration 5:2.

So we will use the section formula to obtain the coordinates of the point G.

Now the x-coordinate of the point G will be:-

Now the y-ccordinate of the point G will be:-

So the coordinates of the point G are (-6, 14).

Hence the correct option is (D).

The mean score is approximately 69.21.

To find the mean score, we need to follow these steps:

We start by adding up all the scores given:

71 + 67 + 67 + 72 + 76 + 72 + 73 + 68 + 72 + 72 + 72 + 67 + 71 + 68

We have a total of 14 scores in the given list.

Next, we divide the sum obtained in Step 1 by the total number of scores (Step 2):

(71 + 67 + 67 + 72 + 76 + 72 + 73 + 68 + 72 + 72 + 72 + 67 + 71 + 68) / 14

Now we perform the addition in the numerator:

= 969 / 14

Finally, we divide the numerator (969) by the denominator (14):

Mean score = 969 / 14 ≈ 69.21

Therefore, the mean score of the top ten finishers in the golf tournament is approximately 69.21.

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Complete Question:

The scores of the top ten finishers in a recent golf tournament are listed below. Find the mean score.

71, 67, 67, 72, 76, 72, 73, 68, 72, 72, 72, 67, 71, and 68

Answer: C. Outside the circle.

Step-by-step explanation:

To find whether point M lies on the circle, first derive the equation of the circle from the radius and center given.

Equation of a circle:

\((x-h)^2 + (y-k)^2=r^2\)

Substitute the coordinates (0, 0) for h and k, and 2 times the square root of 3 for r:

\(x^2 + y^2 = 12\)

Now, substitute the points (-3, 2) for x and y:

\(9 + 4 = 12\)

This equation is incorrect, as the (x, y) coordinates produce a greater value than the radius of the circle squared. When this occurs, the point given is outside of the circle.

(A point like (1, 1), when substituted into the equation and solved to get 1 + 1 = 12, would be inside the circle, as its (x, y) coordinates produce a smaller value than the radius of the circle squared.)

As such, the correct answer is C.

Answer:

n^2 + 3.

Step-by-step explanation:

4 7 12 19

Differences are 3 5 7   so this a quadratic sequence.

2nd difference = 2 2

So the first part of the expression is n^2

Terms:  4  7  12  19

n^2       1    4   9  16

Difference = 3 3 3 3 3

So the answer is n^2 + 3.

The correct answer is that the probability of a cash flow being between $16,000 and $19,000 is approximately 18.59%.

To calculate the probability of a cash flow being between $16,000 and $19,000, we can use the standard deviation and assume a normal distribution.

We are given that the average cash flow is $14,000 with a standard deviation of $5,000. These values are necessary to calculate the probability.

The probability of a cash flow falling within a certain range can be determined by converting the values to z-scores, which represent the number of standard deviations away from the mean.

First, we calculate the z-score for $16,000 using the formula: z = (x - μ) / σ, where x is the cash flow value, μ is the mean, and σ is the standard deviation. Plugging in the values, we get z1 = (16,000 - 14,000) / 5,000.

z1 = 2,000 / 5,000 = 0.4.

Next, we calculate the z-score for $19,000: z2 = (19,000 - 14,000) / 5,000.

z2 = 5,000 / 5,000 = 1.

Now that we have the z-scores, we can use a standard normal distribution table or calculator to find the corresponding probabilities.

Subtracting the probability corresponding to the lower z-score from the probability corresponding to the higher z-score will give us the probability of the cash flow falling between $16,000 and $19,000.

Looking up the z-scores in a standard normal distribution table or using a calculator, we find the probability for z1 is 0.6554 and the probability for z2 is 0.8413.

Therefore, the probability of the cash flow being between $16,000 and $19,000 is 0.8413 - 0.6554 = 0.1859, which is approximately 18.59%.

So, the correct answer is that the probability of a cash flow being between $16,000 and $19,000 is approximately 18.59%.

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The probability of a cash flow between $16,000 and $19,000 is approximately 18.59%.

To calculate the probability of a cash flow being between $16,000 and $19,000, we can use the standard deviation and assume a normal distribution.

We are given that the average cash flow is $14,000 with a standard deviation of $5,000. These values are necessary to calculate the probability.

The probability of a cash flow falling within a certain range can be determined by converting the values to z-scores, which represent the number of standard deviations away from the mean.

First, we calculate the z-score for $16,000 using the formula: z = (x - μ) / σ, where x is the cash flow value, μ is the mean, and σ is the standard deviation. Plugging in the values, we get z1 = (16,000 - 14,000) / 5,000.

z1 = 2,000 / 5,000 = 0.4.

Next, we calculate the z-score for $19,000: z2 = (19,000 - 14,000) / 5,000.

z2 = 5,000 / 5,000 = 1.

Now that we have the z-scores, we can use a standard normal distribution table or calculator to find the corresponding probabilities.

Subtracting the probability corresponding to the lower z-score from the probability corresponding to the higher z-score will give us the probability of the cash flow falling between $16,000 and $19,000.

Looking up the z-scores in a standard normal distribution table or using a calculator, we find the probability for z1 is 0.6554 and the probability for z2 is 0.8413.

Therefore, the probability of the cash flow being between $16,000 and $19,000 is 0.8413 - 0.6554 = 0.1859, which is approximately 18.59%.

So, the correct answer is that the probability of a cash flow being between $16,000 and $19,000 is approximately 18.59%.

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Answer:

10.48 miles ran in one hour .

Answer:

Step-by-step explanation:

5x^5 - 2x - 4x^4 - 3x^2

5x^5 - 4x^4 - 3x^2 - 2x

Answer:

Step-by-step explanation:

C

The system of inequalities representing the given situation is x + y ≥ 14; 15x + 10y ≥ 125. which is the correct answer would be an option (C)

Inequality is defined as mathematical statements that have a minimum of two terms containing variables or numbers that are not equal.

To determine the number of hours should he spend on each job if he wants to earn at least $125 each week.

Let the hours of tutoring would be x

And y the hours of babysitting would be y

Given that He can work no more than 14 hours a week.

So inequality as per the above situation is: x + y ≥ 14

Since he charges $15 an hour for tutoring and $10 an hour for babysitting.

If he wants to earn at least $125 each week.

So inequality as per the above situation is: 15x + 10y ≥ 125

Therefore, the correct answer would be option (C).

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Answer:

C -3/2

Step-by-step explanation:

The slope is the change in y over the change in x.  You find the change by subtracting

The y's are -4 and 5 (-2,5) (4,-4)

The x's are 4 and -2 (-2,5) (4,-4)

\(\frac{-4 -5}{4 - -2}\) = \(\frac{-9}{4+2}\)  Subtracting a negative is the same as adding a positive

\(\frac{-9}{6}\)  Divide the numerator and denominator by 3

\(\frac{-3}{2}\)

Answer:

√6

Step-by-step explanation:

Rational numbers can be written as fractions. 1/3 is a fraction. 0.141414... can also be written as a fraction (not gonna do cuz it's kind of complicated) and √4 is 2 which is 2/1. that leave √6

I'm not 100% sure but I think it's the last two choices

sorry if its wrong

The 95% CI for proportion of driver that do not wear seat belt is 0.255 < p < 0.405.

What is Confidence interval?

A confidence interval (CI) is a range of estimates for an unknown parameter in frequentist statistics. The 95% confidence level is the most popular, however other levels, such 90% or 99%, are occasionally used when computing confidence intervals.

As given,

n = 150 = drivers

x = 100 = wear seat belts.

We have to find 95% confidence interval for proportion P that do not wear seat belt.

From 150 we have 100 wear seat belts

Not wear seat belt = 150 - 100

Not wear seat belt = 50

P = 50/150

P = 0.33

95% confidence interval for P is

CI = (P - zα/2√(P(1 - P)/n), P + zα/2√(P(1 - P)/n))

For 95% CI, zα/2 = 1.96

Substitute values,

CI = (0.33 - 1.96√(0.33(1 - 0.33)/150), 0.33 + 1.96√(0.33(1 - 0.33)/150))

CI = (0.33 - 0.075, 0.33 + 0.075)

CI = (0.255, 0.405)

Therefore 95% CI for proportion of driver that do not wear seat belt is 0.255 < p < 0.405.

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Answer: 200inches³

Step-by-step explanation:

The volume of a sphere can be gotten by using the formula:

V = 4/3 πr³

where,

π = 3.142

r = radius = 3.63 inches

Volume = 4/3πr³

= 4/3 × 3.142 × 3.63³

= 4/3 × 3.142 × 47.832147

= 200.38481

= 200inches³

A relative frequency table is a graph that depicts the popularity or pattern of a certain piece of data based on the population sampled. The value of x will be 85.

A relative frequency table is a graph that depicts the popularity or pattern of a certain piece of data based on the population sampled.

When we examine the relative frequency, we examine the number of times a certain event happens in comparison to the overall number of events.

We have the following equation for the adult column;

\(\rm x + 0.15 = 1\)

\(\rm x = 1-0.15\\\\\rm x = 0.85\)

Hence the value of x will be 85.

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Answer:

Step-by-step explanation:

Solving in steps

Using exponent rules: a^b·a^c = a^(b+c) and (a^b)^c = a^(bc)

Answer:

Step-by-step explanation:

the expression 4^−6⋅ 4^4⋅ (2^3⋅ 2^−4)^−1 can be solved using exponential rule:

= 4⁻⁶ * 4⁴ * (2³ * 2⁻⁴)⁻¹

= 4⁽⁻⁶ ⁺ ⁴⁾ * (2 ⁽³ ⁻ ⁴⁾ ) ⁻¹

= 4⁻² * (2⁻¹)⁻¹

= (2²) ⁻² * 2 ⁽⁻¹ ˣ ⁻¹⁾

= 2⁻⁴ * 2¹

= 2 ⁽⁻⁴ ⁺ ¹⁾

= 2 ⁻³