8. A whale watching cruise claims to have an 80% chance of seeing whales on any given day. A tourist takes the cruise on consecutive days. Assume that seeing whales on any given day are independent events.
(a) Find the probability the cruise sees whales on both days.
(b) Find the probability that the tourist seas whales on at least one of the days.

The following form has two parallel sides, and, in accordance with the provided assertion, its area is 21 cm².

Area is the entire amount of space occupied by a flattened (2-D) surface or form of an item. The area of a planar figure is the space that its perimeter encloses. The quantity of unit rectangles that completely encircle a closed figure's surface is its area. Square units such as cm² and m² are used to measure area.

The ratio will also be 1/2 * (bases 1 + base 2) * length since it is a trapezium.

So, 1/2 * ( 9+5) * 3

   = 1/2 * 14 * 3

   =  1/2 * 42

   =  21 cm²

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One of the Possible values of length and width of the prism are 15 cm and 0.5 cm

In geometry, a prism is a polyhedron comprising an n-sided polygon base, a second base which is a translated copy of the first, and n other faces, necessarily all parallelograms, joining corresponding sides of the two bases.

Given here: The volume of the prism is 2¹/₂=2.5 cm³

And the height is 1/3 cm

let the length and breadth of the prism is x and y respectively.

We know the volume of the prism as

1/3 × x×y=2.5

x×y=7.5

Thus possible values of length and breadth are the factors of 7.5

out of which one of the pair whose length is 15 cm and width 0.5 cm

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Answer:

Step-by-step explanation:

11

Work Shown:

\(C = \text{circumference} = \text{perimeter of the circle}\\\\C = 2*\pi*r\\\\C \approx 2*3.14*2\\\\C \approx 12.56\\\\\)

Note: If you were given the diameter, then divide by 2 to find the radius, so you can use it in the formula above. Or you could use this formula \(C = \pi*d\)

Yes, there is an analogous ratio between 2:1 and 20:10.

We just cancel by a common factor. So 4:2=2:1 . The simplest representation of the ratio 4 to 2 is the ratio 2 to 1. Also, since each pair of numbers has the same relationship to one another, the ratios are equivalent.

By dividing the terms of each ratio by their greatest common factor, we may simplify both ratios to explain why.

As the greatest common factor for the ratio 2:1 is 1, additional simplification is not necessary.

The greatest common factor for the ratio 20:10 is 10. When we multiply both terms by 10, we get:

20 ÷ 10 : 10 ÷ 10

= 2 : 1

As a result, both ratios have the same reduced form, 2:1, making them equal.

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Answer:

the third one

Step-by-step explanation:

Answer:

200 miles

Step-by-step explanation:

63.96+(.08x)=55.96+(.12x). x=200. 63.96+(.08x200)=79.96. 55.96+(.12x200)= 79.96

Answer:

your the one

Step-by-step explanation:

ajhayajsjsusudhdhdhxdhfd

A polar graph that is a limacon has a formula similar to \(r=a+bcos\theta\)

Option B is correct.

A  limacon has a formula similar to \(r=a+bcos\theta\)

Case 1 .  If  a < b  or  \(\frac{b}{a}>1\)

Then the curve is limacon with an inner loop.

Case 2.  If  a>b   or   \(\frac{b}{a}<1\)

Then the limacon does not have an inner loop.

Here, given that,  \(r=3+4cos\theta\)

It is observed that,  a < b  or \(\frac{b}{a}>1\)

Therefore, the curve is limacon with an inner loop.

Hence, option B is correct.

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The figure attached is composed of a cylinder and an sphere. Then:

Surface Area = Total Area of the Sphere + Side Area of the Cylinder.

Hence:

Now, the side area of the cylinder:

Finally:

ANSWER

The surface area is 1432.6 cm²

Now, to find the volume:

Total Volume = Volume of the Sphere + Volume of the Cylinder

Volume of the Sphere:

Volume of the Cylinder:

Finally:

ANSWER

The volume is 4657.9cm³

The volume of the sphere is approximately 3431.82 cubic miles.

To find the volume of a sphere, we need the radius of the sphere. The length of a great circle is the circumference of the sphere, which is related to the radius by the formula C = 2πr, where C is the circumference and r is the radius.

In this case, we are given that the length of the great circle is 60 miles. We can use this information to find the radius of the sphere.

C = 2πr

60 = 2πr

Divide both sides of the equation by 2π:

r = 60 / (2π)

r = 30 / π

Now that we have the radius, we can use the formula for the volume of a sphere:

V = (4/3)πr³

V = (4/3)π(30/π)³

V = (4/3)π(27000/π³)

V = (4/3)π(27000/π³)

V = (4/3)π(27000/π³)

V = (4/3)(27000/π²)

V = (4/3)(27000/9.87) (approximating π to 3.14)

V ≈ 3431.82 cubic miles

Therefore, the volume of the sphere is approximately 3431.82 cubic miles.

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Question

You are given the great circle of a sphere is a length of 60 miles. What is the volume of the sphere?

no entendí bien puedes explicar mejor la pregunta si la entendí pero el contenido si

The research explores the various factors that may influence the learning choices of first-year undergraduates, such as the family and educational background of the student, their socioeconomic status and the availability of resources, among others.

Factor is a mathematical quantity which is multiplied with another quantity to give a product. Factors can also be defined as the numbers that divide a given number exactly. Factors are used in everyday life to calculate many different types of problems, such as compound interest, speed, distance and time, and more. Factors are also used in statistics and probability to determine the likelihood of certain events occurring.

The paper will also examine the various types of postgraduate courses that are available to undergraduates, including those offered by universities and other institutions, such as professional courses or distance learning programmes.

The research adopts a qualitative approach, and will use semi-structured interviews with first-year undergraduates to gain an understanding of their learning choices, and the factors that influence them. Interviews will be conducted with students in different disciplines, in order to gain an insight into how the different disciplines shape students' learning preferences. The research will also use questionnaires to obtain data on the socioeconomic background, family background and educational background of students.

In addition, the research will use documentary analysis of university prospectuses and websites, and information from other sources, such as employers and professional bodies, to gain an understanding of the various postgraduate courses that are available to undergraduates. This data will be used to compare and contrast the learning choices of undergraduates from different disciplines and economic backgrounds.

Finally, the research will use an interpretive approach to analyse the data collected and develop a theory of the factors that influence the learning choices of first-year undergraduates. The theory will be used to inform the design of initiatives to help undergraduates make informed decisions about their learning choices.

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Answer:

0.1981

Step-by-step explanation:

See attachment for calculation

Answer:

(a)Slope: 4, y-intercept: (0, 8).

(b)Slope: 1/4, y-intercept: (0, 10).

(c)Neither

(d)D. The slopes are neither equal nor opposite reciprocals.

Explanation:

Given the equations for two lines.

We want to find the slopes and the y-intercept in coordinate form.

In order to do this, we compare the given lines with the slope-intercept form:

Part A

• The slope of the line, m = 4

• The y-intercept, (x, y) = (0, 8).

Part B

• The slope of the line, m = 1/4

• The y-intercept, (x, y) = (0, 10).

Part C

• Two lines are said to be ,parallel, if they have the ,same slope,.

• Two lines are said to be ,perpendicular, if the ,product of their slopes is -1,.

From parts (a) and (b) above:

• The slope of the first line = 4

• The slope of the second line = 1/4

Therefore, the lines are neither.

The reason for this is that the slopes are neither equal nor opposite reciprocals. (Option D).

Answer:

To find the volume of the shipping box in cubic feet, we need to convert the dimensions from inches to feet and then calculate the volume.

Given:

Length = 36 inches

Width = 24 inches

Height = 18 inches

Converting the dimensions to feet:

Length = 36 inches / 12 inches/foot = 3 feet

Width = 24 inches / 12 inches/foot = 2 feet

Height = 18 inches / 12 inches/foot = 1.5 feet

Now, we can calculate the volume of the box by multiplying the length, width, and height:

Volume = Length * Width * Height

Volume = 3 feet * 2 feet * 1.5 feet

Volume = 9 cubic feet

Therefore, the shipping box can hold 9 cubic feet.

Step-by-step explanation:

First convert the units because it's asking for the cubic feet but they give us the measurements in inches.

To convert inches to feet we divide the number by 12.

36 ÷  12 = 3

24 ÷  12 = 2

18 ÷ 12 = 1.5

Now to find the volume, we multiply it all together.

3 × 2 × 1.5 = 9

It can hold 9 cubic feet.

Hope this helped!

The dollar amount the club would contain if half of the students at the school each provided 50 cents T - 0.5n.

A number, a variable, or a mix of numbers, variables, and operation symbols make up an expression. Two expressions joined by an equal sign form an equation.

The dollar amount the club would contain if they reached half of their goal T + 50.

The dollar amount the club would contain if every student at the school donated 50 cents to the cause 0,5T.

The dollar amount the club could donate if they earned $50 more than their goal of 0.25n.

The dollar amount the club would still require to expand to achieve its goal after every student at the school donated 50 cents 0.5n.

The dollar amount the club would contain if half of the students at the school each provided 50 cents T - 0.5n.

The complete question is:

To support a local senior citizens center, a student club sent a flyer home to the n students in the school. The flyer said, "Please bring in money to support the senior citizens center. Paper money and coins accepted!" Their goal is to raise T dollars. Match each quantity to an expression, an equation, or an inequality that describes it. A: the dollar amount the club would have if they reached half of their goal 1: B: the dollar amount the club would have if every student at the school donated 50 cents to the cause 2: C: the dollar amount the club could donate if they made $50 more than their goal 3: D: the dollar amount the club would still need to raise to reach its goal after every student at the school donated 50 cents 4: E: the dollar amount the club would have if half of the students at the school each gave 50 cents 5: Which statement matches with T + 50?

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Answer:

true

Step-by-step explanation:

.

Responder:

$ 3,285

$ 7545

Explicación paso a paso:

Dado que:

Costo del vehículo = $ 23,970

Valor de rescate = $ 975

Vida útil = 7 años

Depreciación por año = (costo del vehículo - valor residual) / vida útil

Depreciación por año = (23970 - 975) / 7

Depreciación por año = 22995/7

Depreciación por año = $ 3285

Valor del vehículo después de 5 años:

23970 - (3285 * 5)

= $ 7545

Año _____ valor del vehículo

1 ________ 20685

2 ________ 17400

3 ________ 14115

4 ________ 10830

5 ________ 7545

6 ________ 4260

7 ________ 975

The LCM of A = 3² × 5⁴ × 7 and B = 3⁴ × 5³ × 7 × 11 is 3898125 using Prime factorization.

Given are two numbers which are showed in the prime factorized form.

A = 3² × 5⁴ × 7

B = 3⁴ × 5³ × 7 × 11

Prime factorization is the factorization of a number in terms of prime numbers.

In order to find the LCM of these two numbers, we have to first match the common primes and write down vertically when possible and then bring down the primes in each column.

A = 3² ×         5³ × 5 × 7

B = 3² × 3² × 5³ ×       7 × 11

Bring down the primes in each column.

LCM = 3² × 3² × 5³ × 5 × 7 × 11

        = 3898125

Hence the LCM is 3898125.

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Answer:

b

Step-by-step explanation:

Answer:Therefore, the equation of the line with a slope of 9/7 and containing the midpoint of the line segment with endpoints (2, -3) and (-6, 5) is:

y = (9/7)x + 25/7.

Step-by-step explanation:Step 1: Find the midpoint of the line segment.

The midpoint formula is given by:

Midpoint = ((x1 + x2) / 2, (y1 + y2) / 2)

Given the endpoints of the line segment as (2, -3) and (-6, 5), we can find the midpoint as follows:

Midpoint = ((2 + (-6)) / 2, (-3 + 5) / 2)

Midpoint = (-4 / 2, 2 / 2)

Midpoint = (-2, 1)

So, the midpoint of the line segment is (-2, 1).

Step 2: Write the equation of the line using the slope-intercept form.

The slope-intercept form of a line is given by:

y = mx + b

where m is the slope and b is the y-intercept.

Given the slope as 9/7, we have:

y = (9/7)x + b

Step 3: Substitute the coordinates of the midpoint to find the value of b.

Using the coordinates of the midpoint (-2, 1), we can substitute these values into the equation:

1 = (9/7)(-2) + b

1 = -18/7 + b

To find the value of b, we can solve this equation:

1 + 18/7 = b

25/7 = b

Step 4: Write the final equation of the line.

Using the value of b, the equation becomes:

y = (9/7)x + 25/7

The values of the complex expressions are ✓(x - iy) = a - ib and x² + y² =  (a + ib)²(a - ib)²

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

✓(x + iy) = a + ib

Changing the signs, we have

✓(x - iy) = a - ib

Multiply both expressions

This gives

✓(x + iy) * ✓(x - iy) =  (a + ib)(a - ib)

Square both sides

So, we have

(x + iy) * (x - iy) =  (a + ib)²(a - ib)²

This gives

x² + y² =  (a + ib)²(a - ib)²

Hence, the values of ✓(x - iy) is a - ib and x² + y² is  (a + ib)²(a - ib)²

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Value of base and hypotenuse of triangle are 9√3 and 18 respectively.

A right triangle is a triangle with one interior angle measuring 90 degrees, known as a right angle. The side opposite to the right angle is called the hypotenuse, and the other two sides are known as the legs of the right triangle. The length of the hypotenuse can be found using the Pythagorean theorem,  that the square of the length of the hypotenuse is equal to the sum of the squares of the lengths of the legs.

Height of triangle=9

Base of triangle=y

Hypotenuse of triangle=x

Using trigonometric ratio

Sin30°=Height/Hypotenuse

½=9/x

x=18

Cos30°=Base/hypotenuse

√3/2=y/18

y=9√3

Hence, value of base and hypotenuse of triangle are 9√3 and 18 respectively.

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Answer:

Yes, the magnitude of earthquake tends to increase with the increase in depth, and vice versa.

Step-by-step explanation:

Make a scatter plot from the values:

(Attachment)

Using calculator, first find

∑x= 2.5+4.1+3.3+4.5+2.6+3.2+3.4 = 23.6

∑y= 4.8+10.3+11.2+10.0+7.9+3.9+5.5 = 53.6

∑x²= (2.5)²+(4.1)²+(3.3)²+(4.5)²+(2.6)²+(3.2)²+(3.4)² = 82.76

∑y²=(4.8)²+(10.3)²+(11.2)²+(10.0)²+(7.9)²+(3.9)²+(5.5)² =462.44

∑xy = (2.5*4.8)+(4.1*10.3)+(3.3*11.2)+(4.5*10.0)+(2.6*7.9)+(3.2*3.9)+(3.4*5.5) = 187.91

n=7

Substitute all in the formula of Correlation Coefficient

r=0.5587

As the value is positive, it means that when x increase, y also tends to increase,and vice versa

All of the assertions are false. A statistically significant finding does not necessarily imply that the null hypothesis has been proven incorrect, nor does it indicate how likely it is to be true.

Generally speaking, the word "norm" describes something that is customary, typical, anticipated, or standard. Norms are established definitions of beneficial attitudes and actions that ought to be commonplace, or "the norm," whenever a group is working together. They apply to cooperation and collaboration.

When the variances are known and the sample size is large, a z-test is a statistical test that is used to assess whether two population means differ from one another.

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The statements supported by the data in the table are:

The mean number of cars sold in a month is the same at both dealerships.

The total number of cars sold is the same at both dealerships.

The data for Admiral Autos shows greater variability.

To determine which statements are supported by the data in the table, let's analyze the given information:

The mean number of cars sold in a month is the same at both dealerships.

To calculate the mean, we need to find the average number of cars sold each month at each dealership.

For Admiral Autos:

(4 + 19 + 15 + 10 + 17) / 5 = 65 / 5 = 13

For Countywide Cars:

(9 + 17 + 14 + 10 + 15) / 5 = 65 / 5 = 13

Since both dealerships have an average of 13 cars sold per month, the statement is supported.

The median number of cars sold in a month is the same at both dealerships.

To find the median, we arrange the numbers in ascending order and select the middle value.

For Admiral Autos: 4, 10, 15, 17, 19

Median = 15

For Countywide Cars: 9, 10, 14, 15, 17

Median = 14

Since the medians are different (15 for Admiral Autos and 14 for Countywide Cars), the statement is not supported.

The total number of cars sold is the same at both dealerships.

To find the total number of cars sold, we sum up the values for each dealership.

For Admiral Autos: 4 + 19 + 15 + 10 + 17 = 65

For Countywide Cars: 9 + 17 + 14 + 10 + 15 = 65

Since both dealerships sold a total of 65 cars, the statement is supported.

The range of the number of cars sold is the same for both dealerships.

The range is determined by subtracting the lowest value from the highest value.

For Admiral Autos: 19 - 4 = 15

For Countywide Cars: 17 - 9 = 8

Since the ranges are different (15 for Admiral Autos and 8 for Countywide Cars), the statement is not supported.

The data for Admiral Autos shows greater variability.

To determine the variability, we can look at the range or consider the differences between each data point and the mean.

As we saw earlier, the range for Admiral Autos is 15, while for Countywide Cars, it is 8. Additionally, the data points for Admiral Autos are more spread out, with larger differences from the mean compared to Countywide Cars. Therefore, the statement is supported.

Based on the analysis, the statements supported by the data are:

The mean number of cars sold in a month is the same at both dealerships.

The total number of cars sold is the same at both dealerships.

The data for Admiral Autos shows greater variability.

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Answer:

Answer:

\( \boxed{ \bold{ \huge{ \boxed{ \sf{7A - 42}}}}}\)

Step-by-step explanation:

\( \sf{7(A \: - 6)}\)

Distribute 7 through the parentheses

\( \longmapsto{ \sf{7 \: ∗ \: A \: - 7 \: ∗ \: 6}}\)

\( \longmapsto{ \sf{7A \: - 42}}\)

Hope I helped!

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