Using the drawing tools to form the correct answer on the provided graph

Answer:

B. Kilograms

Step-by-step explanation:

The score that separates the top 20% of the population from the bottom 80% is = (-0.84 * 95) + 500 = 417.8, which is rounded to the nearest whole number to be 418.

Answer:

696, 550, 418

As the scores of the College Boards are close to being normally distributed and are scored so as to yield a mean of 500 and a standard deviation of 95. Round your answers to the nearest whole numbers.5(a). An exclusive club wishes to invite those scoring in the top 1% on the College Boards to join.

What score is required to be invited to join the club?The area under the normal curve to the left of the top 1% (i.e., the area between the mean and the top 1%) is 0.01. The z-score that corresponds to an area of 0.01 is found to be 2.33 from the normal distribution table.Therefore, the score required to be invited to join the club is = (2.33 * 95) + 500 = 696.35, which is rounded to the nearest whole number to be 696.5(b).

What score separates the top 70% of the population from the bottom 30%?

The area under the normal curve to the left of the score that separates the top 70% from the bottom 30% (i.e., the area between the mean and that score) is 0.70. By using the normal distribution table, we can find that the z-score that corresponds to an area of 0.70 is 0.52.

Therefore, the score that separates the top 70% of the population from the bottom 30% is = (0.52 * 95) + 500 = 550.4, which is rounded to the nearest whole number to be 550.5(c).

The area under the normal curve to the left of the score that separates the top 20% from the bottom 80% (i.e., the area between the mean and that score) is 0.20. By using the normal distribution table, we can find that the z-score that corresponds to an area of 0.20 is -0.84.

Therefore, the score that separates the top 20% of the population from the bottom 80% is = (-0.84 * 95) + 500 = 417.8, which is rounded to the nearest whole number to be 418.

Answer:

696, 550, 418

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Answer:

B)  Yes, because the slope is \(-\frac{25}{3}\) and the zero is (12, 0)

Step-by-step explanation:

From inspection of the graph:

\(\sf slope\:(m)=\dfrac{change\:in\:y}{change\:in\:x}=\dfrac{50-75}{6-3}=-\dfrac{25}{3}\)

Therefore, the equation of the line in slope-intercept form y = mx + b

(where m is the slope and b is the y-intercept) is:

\(y=-\dfrac{25}{3}x+100\)

To find the zero (when y = 0), set the equation to zero and solve for x:

\(\implies -\dfrac{25}{3}x+100=0\)

\(\implies \dfrac{25}{3}x=100\)

\(\implies 25x=300\)

\(\implies x=12\)

Therefore, the zero is at (12, 0)

Therefore, the graph does represent the function because the slope is \(-\frac{25}{3}\) and the zero is at (12, 0)

Answer:

-2

Step-by-step explanation:

Let's solve your equation step-by-step.

−(3v+1)+7(6v+6)=−37

Step 1: Simplify both sides of the equation.

−(3v+1)+7(6v+6)=−37

−3v+−1+(7)(6v)+(7)(6)=−37(Distribute)

−3v+−1+42v+42=−37

(−3v+42v)+(−1+42)=−37(Combine Like Terms)

39v+41=−37

39v+41=−37

Step 2: Subtract 41 from both sides.

39v+41−41=−37−41

39v=−78

Step 3: Divide both sides by 39.

39v

39

=

−78

39

v=−2

Answer:

v=−2

Answer:-2

Step-by-step explanation:

The fractional equivalent of the repeating decimal 0.2 is 2/9

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

Repeating decimal = 0.2

Represent properly

So, we have

Repeating decimal = 0.2222

Express as fraction

So, we have

Fraction = 2/(10 - n)

In this case

n = 1

So, we have

Fraction = 2/(10 - 1)

Evaluate

Fraction = 2/9

Hence, the fractional equivalent is 2/9

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There are 5 nodes in the fourth mode of a standing wave on a string fixed at both ends, including the endpoints.

The number of nodes, including the endpoints, in the fourth mode of a standing wave on a string fixed at both ends can be determined using the formula for the number of nodes in a standing wave mode:

N = n + 1

where N is the number of nodes and n is the mode number.

For the fourth mode, the mode number n = 4. Substituting this into the formula, we get:

N = 4 + 1 = 5

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Answer:

\(8v^{3} +27=(2v)^{3} +3^{3}=(2v+3)(4v^{2} -6v+9)\\\)

Step-by-step explanation:

from  formula a³ – b³ = (a – b) (a² + ab + b² )

Answer:

18%

Step-by-step explanation:

Express the ending population as a percentage of the starting population:

270000 divided by 330000=0.82

0.82 *100=82

subtract from the 100% we started with to get the percent decrease:

100% - 82% = 18

:)

Therefore, the height of the shorter building is \(233.32\) feet, rounded to the nearest foot.

The height of the shorter building can be found using trigonometry. Using the angle of depression of\(36.7°,\) the height of the building can be calculated as:

h = \(180/tan(36.7°) = 180/0.7744 = 233.32 feet\)

Using the angle of depression of 71.1°, the height of the building can be calculated as:

h =\(180/tan(71.1°) = 180/2.5092 = 71.76 feet\)

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Step-by-step explanation:

you can find the factors of it then see which two numbers multiply together to form the integer.

Answer:the graph is not linear

Step-by-step explanation:

To enhance the tour booking process, a concierge fee structure is proposed. For tours costing over $2,500, a $150 fee will be added, while tours surpassing $3,500 will incur a $300 fee. Additionally, the traveler's first and last names will be concatenated. In the case of more than eight attendees, a discount will be applied.

In order to provide an improved booking experience, a concierge fee structure is implemented. For tours that cost more than $2,500, a concierge fee of $150 will be added to the total cost. This fee acknowledges the additional services and personalized assistance required for higher-value tours. For tours exceeding $3,500, the concierge fee will be increased to $300, reflecting the increased complexity and demands associated with these premium experiences.

Furthermore, as part of the booking process, the traveler's first and last names will be concatenated. This concatenation enables the creation of a unique identifier for each traveler and helps streamline administrative processes. By combining the first and last names, the booking system can efficiently manage traveler information and ensure accurate record-keeping.

In addition, a discount will be applied to tours if there are more than eight people attending. The specific discount rate will depend on various factors, such as the tour's base price, duration, and availability. The discount encourages group bookings and makes the tour more affordable for larger parties. By accommodating larger groups, the tour operator can maximize occupancy and create a more enjoyable and social experience for participants.

Overall, the proposed concierge fee structure, name concatenation, and group booking discount aim to improve the tour booking process, provide personalized assistance, and make tours more accessible for different group sizes. These enhancements will contribute to a smoother and more enjoyable experience for travelers, while also benefiting the tour operator by streamlining administrative tasks and increasing customer satisfaction.

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Answer:

Youth tickets = $4

Step-by-step explanation:

Let x and y represent the price of adults and youth tickets respectively;

Given;

A youth ticket is half the price of an adult ticket

y = 0.5x ......1

They paid $24 for 2 adult tickets and 2 youth tickets.

2y + 2x = 24 ......2

Substituting equation 1 into 2;

2(0.5x) + 2x = 24

x + 2x = 24

3x = 25

x = 24/3 = 8

Since, y = 0.5x

y = 0.5(8) = 4

Adult tickets = $8

Youth tickets = $4

75% of the beads are green in color.

percentage, a relative value indicating hundredth parts of any quantity.

Given that Chase ordered a set of beads

He received 4,000 beads in all.

3,000 of the beads were green.

We need to find the  percentage of the beads were green of 4000.

x/100×4000=3000

40x=3000

Divide both sides by 40

x=75%

Hence, 75% of the beads are green in color.

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Answer:

12

Step-by-step explanation:

She spent $8 on a sketchpad and $17 in total.

Amount of money she spent on drawing pencils = \(17-8=9\)

A drawing pencil cost $0.75 and she spent $9.

Thus, she bought \(9\div0.75=12\) drawing pencils.

Answer:

12

Step-by-step explanation:

First I subtracted 8 from 17 and I got 9. Then I divided 9 by .75 and got 12. Then to check I substituted 12 into the equation which is 12(.75) + 8 and I get 17.

Hopefully this helps you :)

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The estimated population is 114.74 microorganisms after three hours.

An exponential function's curve is created by a pattern of data called exponential growth, which exhibits higher increases with time.

a type of growth when the values' logarithms rise linearly with time. This indicates that the value increases faster than it would with linear development. A population that increases by 10% of its value each unit of time would be an example of exponential growth.

let A(f) = number of bacterial 'I' now. in

A(t) = Ao × e^kt

= 71 × e^(0.16XA)

For t = 3 hours

A(t) = 71 × e^(0.16×3)

= 114.74 bacteria

Complete question:

The number of bacteria in a certain population is predicted to increase according to a continuous exponential growth model, at a relative rate of 16% per hour. Suppose that a sample culture has an initial population of 71 bacteria. Find the predicted population after three hours Do not round any intermediate computations, and round your answer to the nearest tenth bacteria

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Answer:

400

Step-by-step explanation: 2x200=400

Approximately 35% of the ears of corn in the bin are white.

To find the percentage of white ears of corn, we need to determine the number of white ears and then calculate what proportion they make out of the total number of ears in the bin.

Given that there are 78 ears of yellow corn, we can subtract this number from the total number of ears to find the number of white ears:

Total ears - Yellow ears = White ears

120 - 78 = 42

There are 42 white ears of corn in the bin. To calculate the percentage of white ears, we divide the number of white ears by the total number of ears and multiply by 100:

(White ears / Total ears) x 100 = Percentage of white ears

\((42 / 120) \times 100 = 35%\)

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Mrs. Rose receives the greater pay rise of £660 per year compared to Mrs. Patel's pay rise of £645.

To compare the pay rise for Mrs Patel and Mrs Rose, we need to calculate the actual amount of the pay rise for each of them.

For Mrs Patel, her pay rise is 2.5% of her current salary of £25,800:

Pay rise for Mrs Patel = 2.5% of £25,800 = £645

For Mrs. Rose, her pay rise is £55 per month, which is:

Pay rise for Mrs. Rose = £55 x 12 = £660 per year

Comparing the two pay rises, we see that Mrs. Rose receives a greater pay rise of £660 per year, compared to Mrs. Patel's pay rise of £645. Therefore, Mrs. Rose receives the greater pay rise.

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The distance along the unit circle between any two successive 8th roots of 1 is c) π/4.

To find the distance along the unit circle between any two successive 8th roots of 1, we can consider the concept of angular displacement.

Each 8th root of 1 represents a point on the unit circle that is evenly spaced by an angle of 2π/8 = π/4 radians.

Starting from the point corresponding to 1 on the unit circle, we can move π/4 radians to reach the first 8th root of 1. Moving π/4 radians further will bring us to the second 8th root of 1, and so on.

Since we are moving by π/4 radians for each successive 8th root of 1, the distance between any two successive 8th roots of 1 is π/4 radians.

Therefore, the correct answer is option c. π/4.

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Answer:

The slope is −13.

Step-by-step explanation:

 The slope is m=y2−y1x2−x1=4−0−2−10=4−12

HOPE THIS IT::):):):)

Answer:

1

Step-by-step explanation:

Initial velocity=0

Height=45m

G=10m/s^2

By the 2 nd equation of motion …(Under free fall)-

H = ut + 1/2 g t^2

45 = 0 + {1/2 * 10 * (t^2)} •: [0*t=0]

45 = 5 t^2

45/5 = t^2

9 = t^2

√9=t

3=t

Answer-: The time taken would be 1.3 seconds to reach the ground.

Answer:

3x²

Step-by-step explanation:

In this question, you will plug in the expressions into the question and solve.

We know what f(x) and g(x) is, so plug in it and solve:

-x - (-3x² - x)

Distribute the negative to the variables inside the parenthesis.

-x + 3x² + x

Combine like terms.

3x²

Since this is what we're left with (we can't simplify further), 3x² would be your final answer.

Answer:

22.36

or 559/25

or 22 9/25

Step-by-step explanation:

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