There are 8 oranges, 5 apples, and 6 bananas In the fruit basket.
-Bob says the ratios of apples to bananas is 5:6
-Rob says the ratios of bananas to apples is 6:5
-Thob says thats the ratios of apples and bananas to all the fruit is 11:19
Who is correct? Explain your answer.
I need the answer by Sunday!!

After the second stop, there are 10 fewer people on the bus compared to the number of people on the bus before the 2:30 stop.

Before the 2:30 stop, the bus let off 15 people and let on 9 people. The total change in the number of people at that stop is -15 (let off) + 9 (let on) = -6.

Therefore, there are 6 fewer people on the bus after the 2:30 stop compared to before that stop.

Ten minutes later, the bus makes another stop and lets off 4 more people. This additional change needs to be considered.

Since the previous calculation only accounted for the changes up until the 2:30 stop, we need to adjust the total change by including the subsequent stop.

Adding the change of -4 (let off) to the previous total change of -6, we get a new total change of -10.

Therefore, after the second stop, there are 10 fewer people on the bus compared to the number of people on the bus before the 2:30 stop.

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Answer:

The 99% confidence level (-0.741, -0.659).

Step-by-step explanation:

The average body mass index (BMI) in a sample of 1559 men was 30.4, with a standard deviation of 0.6.

The average BMI in a sample of 1924 women was 31.1 with a standard deviation of 0.2.

Find a 99% confidence interval for the difference between the mean weights..

The formula for 99% Confidence Interval for difference between the mean weights =

μ is the population mean, and σ is the population standard deviation.

μ1 - μ2 ± z × √σ²1/n1 + σ²2/n2

The z score for 99% confidence interval = 2.576

30.4 - 31.1 ± 2.576 × √0.6²/1559 + 0.2²/1924

-0.7 ± 2.576 × √0.36/1559 + 0.04/1924

-0.7 ± 2.576 × √0.0002309173 + 0.00002079

-0.7 ± 2.576 ×√0.0002517073

-0.7 ± 2.576 × 0.015865286

-0.7 ± 0.04086897674

Hence, the 99% Confidence Interval is

-0.7 - 0.04086897674

= -0.74086897674

≈ -0.741

-0.7 + 0.04086897674

=-0.65913102326

≈ -0.659

Therefore, the 99% confidence level (-0.741, -0.659).

The value of n can be determined by finding the number of visible arcs in the pattern, which is 30 in this case.

To determine the value of n, we need to find the relationship between the total length of visible areas and the number of circles (n).

In the given pattern, each circle contributes to the visible area twice: once as its circumference and once as the overlapping part with the adjacent circles. Since the circumference of each circle is 1 unit, the visible area contributed by each circle is 2 units.

Therefore, the total length of visible areas can be expressed as 2n. Given that the total length is 60 units, we can set up the equation:

2n = 60

Solving this equation, we find:

n = 60/2 = 30

Thus, the value of n is 30.

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The areas of the systems formed by rectangles are listed below:

Case T: A = 88 cm²

Case M: A = 72 cm² + 6 · x cm², where x is a non-negative real number.

Case 1: A = 132 cm² (Correct choice: B)

Case 2: A = 250 m² (Correct choice: C)

Case 3: A = 36 m² (Correct choice: A)

In this problem we need to determine the area of rectangles and combinations of rectangles, whose formula is shown below:

A = ∑ (b · h)

Where:

Now we proceed on each case:

Case T

A = (4 cm)² + (12 cm) · (6 cm)

A = 16 cm² + 72 cm²

A = 88 cm²

Case M

A = (18 cm) · (4 cm) + (6 cm) · (x cm)

A = 72 cm² + 6 · x cm²

Case 1

A = (6 cm)² + (12 cm) · (8 cm)

A = 36 cm² + 96 cm²

A = 132 cm² (Correct choice: B)

Case 2

A = (15 m)² + (5 m)²

A = 250 m² (Correct choice: C)

Case 3

A = (3 m) · (12 m)

A = 36 m² (Correct choice: A)

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Statement b is not true about y = x² + 9x - 22.

To find the x-intercepts of a function, we set y = 0 and solve for x. For y = x² + 9x - 22, we have:

x² + 9x - 22 = 0

In the quadratic equation ax² + bx + c = 0, where a, b, and c are constants, the quadratic formula provides the solutions. The equation is:

x = √(b² - 4ac) - (-b) / 2a

Any quadratic equation of the type ax²+ bx + c = 0 can be resolved using this formula. The discriminant of the quadratic equation is denoted by the expression b²- 4ac. There are two valid solutions to the equation if the discriminant is positive. There is just one true solution to the equation if the discriminant is 0. There are no actual solutions to the equation if the discriminant is negative.

Using the , we get: quadratic formula

x = (-9 ± √(9^2 - 4(1)(-22))) / (2(1))

x = (-9 ± √(193)) / 2

Therefore, the x-intercepts are approximately (-10.6, 0.0) and (1.6, 0.0), which means that statement **b** is not true.

To find the y-intercept of a function, we set x = 0 and solve for y. For y = x² + 9x - 22, we have:

y = (0)² + 9(0) - 22

y = -22

Therefore, the y-intercept is at -22, which means that statement **c** is true.

The function has linear factors of (x + 11) and (x - 2), which means that statement d is true.

The function has a zero at -11 because (-11 + 2)(-11) = 0, which means that statement a is true.

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where r = 19 feet, h = 40 feet, and θ varies from 0 to 8π (4 complete revolutions) as t varies from 0 to 4.

An equation is a mathematical statement that shows the equality of two expressions, which are separated by an equals sign (=). An equation can have variables, constants, coefficients, and operators. The variables are represented by letters, and their values can change depending on the context of the problem. The constants are fixed values, and the coefficients are the numbers that multiply the variables. The operators are mathematical symbols that indicate the operation to be performed, such as addition (+), subtraction (-), multiplication (*), division (/), and exponentiation (^). Solving an equation means finding the value(s) of the variable(s) that satisfy the equation.

Given by the question.

Let's start by defining the necessary parameters. The radius of the staircase is given as 19 feet, and the height is given as 40 feet. The staircase makes 4 complete revolutions, so the total height of the staircase is 4 times the height of one revolution, which is 40 feet.

To find a vector parametric equation for the helical path, we need to consider the circular motion around the center axis, as well as the motion along the axis. Let's define the following parameters:

r: radius of the staircase (19 feet)

h: height of one revolution (40 feet)

θ: angle of rotation around the center axis (in radians)

z: height along the center axis

The circular motion around the center axis can be described by the following parametric equation:

x = r cos(θ)

y = r sin(θ)

z =???

To find the equation for z, we need to consider the motion along the center axis. Since it takes one hour to stroll up one revolution, and there are 4 revolutions in total, the time it takes to stroll up the entire staircase is 4 hours. Therefore, we can use t as a parameter that varies from 0 to 4, and define z as:

z = (h/4) t

Note that we divide h by 4 to scale the parameter t to the interval [0,4].

Putting it all together, the vector parametric equation for the helical path is:

r(t) = <r cos(θ), r sin(θ), (h/4) t>

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Answer:

-∞

Step-by-step explanation:

So the question is asking as x is approaching 3 from the right what is f(x) doing. If you look at the graph, as the x is approaching the 3 from the right, the f(x) is approaching -∞

Answer:

a is ur answer

Step-by-step explanation:

Answer:

Step-by-step explanation:

11-20, as it is the same range as the first histogram bar (1-10), and doesn't include 10 because it would overlap data.

Answer:

- 6 + 24 i

Step-by-step explanation:

Use distributive property to remove parentheses and then combine like terms:

6 + 9i - 12 + 15 i = - 6 + 24 i

Answer:

2.4

Step-by-step explanation:

5/12 * _ = 1

0.41666666666 x 2.4 = 1

Answer:

52

Step-by-step explanation:

RTQ is 52 because if PTR is a right angle, right angles equal 90 degrees. So if PTQ is 38 degrees, we subtract 38 from 90 to get RTQ. 90-38 equals 52.

Answer:

52 degrees

Step-by-step explanation:

right angle = 90

90-38=52

So RTQ = 52 degrees

This is an unbiased sampling because there is not a systematically opinion that favors some outcomes over others. So the answer is B

Answer:

In a right triangle, the leg adjacent to an angle of 25° is 13 cm long. How long is the leg opposite the 25° angle, to the nearest tenth?

Step-by-step explanation:

Answer:

1. Is a continuous random variable

2. Is a discrete random variable

3. Is not a random variable

Step-by-step explanation:

1. The exact Weight of quarters in circulation in the united states is a continuous random variable. This is because a random variable such as this can take uncountable and infinite number of values.

2. The shoe sizes if humans is an example of discrete random variable. This is a discrete random variable because it has countable number of values.

3. Political party affiliation is not a random variable.

Thank you!

Answer:

\(Ratio = \frac{9}{4}\)

Step-by-step explanation:

Given

\(Small =4in\)

\(Large = 9in\)

Required

The scale ratio

From small to big, the scale ratio is:

\(Ratio = Big : Small\)

\(Ratio = 9in:4in\)

Cancel out the units

\(Ratio = 9:4\)

Express as fraction

\(Ratio = \frac{9}{4}\)

Answer:

b) -60

c) 98

d) -54

The mean monthly rainfall, Rounded to the nearest thousandth, is 2.520 inches.

To determine the mean monthly rainfall, we need to calculate the average of the rainfall values provided in the table. Here is the table:

| Month | Rainfall (in inches) |

|-------|----------------|

| January   | 2.3                

| February  | 1.7                

| March     | 3.2                

| April     | 2.9                

| May       | 2.5                

To find the mean monthly rainfall, we add up the rainfall values for each month and divide the sum by the total number of months. In this case, we have five months:

Mean Monthly Rainfall = (2.3 + 1.7 + 3.2 + 2.9 + 2.5) / 5

Calculating the sum of the rainfall values:

Mean Monthly Rainfall = 12.6 / 5

Dividing the sum by the number of months:

Mean Monthly Rainfall = 2.52

Rounded the result to the nearest thousandth, the mean monthly rainfall is approximately 2.520 inches.

Therefore, the mean monthly rainfall, rounded to the nearest thousandth, is 2.520 inches.

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The signature of the Principal Investigator on the final proposal does not imply responsibility for the availability of funding or the financial aspects of the project.

The complete question should be What does the signature of the Principal Investigator on the final proposal NOT imply responsibility for?

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Answer:

2.4x - 4.4

Step-by-step explanation:

0.3(4x-8) - 0.5(-2.4x+4)

= 1.2x - 2.4 + 1.2x - 2

= 2.4x - 4.4

Answer:

2/1

Step-by-step explanation:

The left triangle is twice as large as the one on the right, so it would be 2/1.

Answer:

C

Step-by-step explanation:

For these types of problems, its important that we focus on the base as well as the lengths of the base and any other given lengths.

Here, the net has a base that forms a square with side lengths of 8mm.

So automatically, we can eliminate choices a and d as both have a base that is a triangle rather than a square.

We've also noticed that the base has a length of 8mm

If we look at B and C closely, we can tell that B has base lengths of 10mm while C has base lengths of 8mm.

So C is the correct answer choice.

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The 2 : 5 scaled version of the deck Sam plans to build and the dimensions of the original deck indicates;

Part A; Base length of the new deck = 7.2 feet

Height of the new deck = 2.8 feet

Part B; The area of the original deck is 63 square feet

The area of the new deck is 10.08 square feet

Part C; The ratio of the areas is the square of the scale factor

A scale factor is a number or factor that is used to enlarge or reduce the dimensions a shape or size of a figure.

The base length of the triangular deck = 18 feet

The height of the triangular deck = 7 feet

The scale factor for the scaled version Sam intends to build = 2 : 5

Part A; The dimensions of the new deck are;

Base length of the new deck using the the 2 : 5 ratio is; (2/5) × 18 = 7.2 feet

The height of the new deck = (2/5) × 7 = 2.8 feet

Part B; The area of the original deck = (1/2) × 18 × 7 = 63 square feet

Area of the new dec = (1/2) × 7.2 × 2.8 = 10.08 square feet

Part C; The ratio of the areas is; 10.08/63

Ratio of the area = 10.08/63 = 4/25 = 4 : 25

The scale factor is; 2 : 5

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Answer:

x= 7 ;

y+x=18

y=18-x

y=18-7

y=11

a home's loss of heat is equal to heat created in the home or when both sides of a seesaw are at an equal level.

Answer:

5.26 hours or 315.6 minutes

Step-by-step explanation:

If he travels 0.19 miles in 1 hour

Then 1 mile is traveled (1x1)/0.19

5.26 approx. hours or 5.26 x 60 mins = 315.6.

Answer:

P=34ft

Step-by-step explanation:

Solution

P=2(l+w)=2·(12+5)=34ft

Answer: The highest score is 66

Step-by-step explanation: First we need to set the problem up.

x - 39 = 27

Next solve the problem.

Get x by itself by getting rid of the negative 39

x - 39 + 39 = 27 + 39

Add/Subtract

x = 66

You don’t need to simplify anymore so leave the problem alone since you already have the answer.

Hope it helped you guys!

Answer:

65 mm²

Step-by-step explanation:

Total surface area of the prism = area of all parts of the prism's net

✔️Area of rectangle 1 with the following dimensions:

L = 5.2 mm

W = 2.1 mm

Area = 5.2*2.1 = 10.92 mm²

✔️Area of rectangle 1 with the following dimensions:

L = 5.2 mm

W = 4.5 mm

Area = 5.2*4.5 = 23.4 mm²

✔️Area of rectangle 3 with the following dimensions:

L = 5.2 mm

W = 5 mm

Area = 5.2*5 = 26 mm²

✔️Area of the 2 traingles with the following dimensions:

b = 4.5 mm

h = 2.1 mm

Area = ½*bh

= ½*4.5*2.1

= 4.725 mm²

Total surface area = 10.92 + 23.4 + 26 + 4.725 = 65.045 ≈ 65 mm² (nearesth while number)