you are asked to determine if the two events "a randomly selected student has asthma" and "a randomly selected student has a household member who smokes" are independent. what probabilities could you calculate to answer this question?

To find the number of feet in 7/11 of a mile, you multiply 5280 (the number of feet in a mile) by 7/11. The answer is 3360 feet.

To calculate how many feet are in 7/11 of a mile, you first have to understand that there are 5280 feet in one mile. If you need to find out the feet in a fraction of a mile, you can multiply this number of feet in one mile by that fraction. In this case, the fraction is 7/11. So, the calculation would go as follows:

5280 feet/mile * 7/11 mile = 3360 feet.

Therefore, 7/11 of a mile is equivalent to 3360 feet.

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Answer:

0.24w+0.5y

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The volume of the recycling bin will be 429 m³.

What is mean by Rectangle?

A rectangle is a two dimension figure with 4 sides, 4 corners and 4 right angles. The opposite sides of the rectangle are equal and parallel to each other.

Given that;

The bin is 12 meters long, 5 1/2 meters wide, and 6 1/2 meters tall.

Now,

Since, We know that;

The volume of right rectangular = Length x Width x Height

Hence, The volume of right rectangular prism = 12 x 5 1/2 x 6 1/2

                                                                       = 12 x 11/2 x 13/2

                                                                       = 3 x 11 x 13

                                                                       = 429 m³

Thus, The volume of the recycling bin will be 429 m³.

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Broderick initially has $420, adds $213 from deposits, and needs $1,243 for checks, resulting in him needing to add $610 to cover his checks.

To calculate how much money Broderick needs to add to his account to cover his checks, we must first figure out his total deposits and then subtract the total amount he needs for the checks.

Broderick starts with $420 in his account and makes 6 deposits of $35.50 each. To find the total amount deposited, we multiply the number of deposits by the amount of each deposit:

Adding this total to his initial amount gives us:

Next, Broderick needs to write 4 checks for $310.75 each. The total amount for the checks is:

To determine how much additional money is needed, we subtract Broderick's available money from the total amount needed for the checks:

Therefore, Broderick needs to add $610 to his account to cover the checks.

It would take 1.8 years to to get $992 with a 6% simple interest annually.

Simple interest is a method of calculating the interest charge. Simple interest can be calculated as the product of principal amount, rate and time peroid.

Simple Interest = (Principal × Rate × Time) / 100

Given that man deposited $800 in his account at a bank which offers 6% simple interest per annum.

Principal =  $800

Rate = 6%

Time = 9

Simple Interest = (Principal × Rate × Time) / 100

Simple Interest = (800× 6× 9) / 100

Simple Interest = 432 dollar

Also, Simple Interest = (Principal × Rate × Time) / 100

$992 = (800 × 6× Time) / 100

992 = 48× Time

Time= 20.6

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If you take a 10-minute shower each day, you would use approximately 25 gallons of water.

The average person in the U.S. uses approximately 100 gallons of water per day, which includes daily activities such as cooking, washing dishes and clothes, flushing the toilet, and bathing. If you take a 10-minute shower each day, you would use a certain amount of water.

To calculate the amount of water used during a 10-minute shower, you would need to know the flow rate of your showerhead. On average, a showerhead has a flow rate of 2.5 gallons per minute. So, multiplying the flow rate by the duration of the shower gives us:

2.5 gallons/minute * 10 minutes = 25 gallons

Therefore, if you take one 10-minute shower a day, you would use approximately 25 gallons of water.

From the pythagoras theorem AB² = AX² + BX²

14² = 13² + BX²

196 = 169 + BX²

27 = BX²-----  > BX=√27

BX  = 5.20

The four triangles formed by construction of the diagonals are all congruent since the diagonals are perpendicular bisectors.

Total area of the rhombus is 4 times of ABX  triangle

0.21 as a fraction in simplest form is 21/100.

In Mathematics and Geometry, a fraction simply refers to a numerical quantity (numeral) which is not expressed as a whole number. This ultimately implies that, a fraction is simply a part of a whole number.

In this exercise and scenario, we would convert the given decimal number 0.21 into a fraction by converting it into a percentage as follows;

0.21 = 21/100

Fraction: 21/100 = 0.21.

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Answer:

its 2 and 5

Step-by-step explanation:

The required negative numbers are -5 and -7.

The quadratic equation is defined as a function containing the highest power of a variable is two.

Let the required negative numbers be x and y.

The sum of the square of two negative numbers is 74.

(x)² + (y )² = 74

x² + y² = 74

(x)² - (y)² = 24

y² - x² = 24

y² = x² + 24

Substitute the value of y² = x² + 24 in the equation x² + y² = 74,

x² + 24 + x² = 74

2x² = 74 - 24

2x² = 50

x² = 25

x = √25

x = ±5

x = 5, -5

Take the negative value as per the question.

Substitute the value of x = -5 in the equation y² = x² + 24,

y² = (-5)² + 24

y² = 25 + 24

y² = 49

y = √49

y = ±7

y = - 7

Therefore, the required negative numbers are -5 and -7.

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Final answer:

The problem is solved by converting the given conditions into a system of equations, which is then solved to find the two negative numbers. The numbers obtained, -3 and -27, satisfy both given conditions.

Explanation:

The question provided is a mathematical problem involving the determination of two negative numbers given that their squares sum to 74 and their difference is 24. Let's denote the smaller number as x and the larger number as y. The given conditions can be represented by two equations: [tex]x^2 + y^2 = 74[/tex] and y - x = 24.

To find the values of x and y, we solve these equations simultaneously. First, use the second equation to express y in terms of x:

y = x + 24

Then, substitute this expression for y into the first equation:

[tex]x^2 + (x + 24)^2 = 74[/tex]

This simplifies to a quadratic equation in x, which can be solved to find the value of x, and subsequently, y can be determined using the expression

y = x + 24.

After solving the quadratic equation, you find that the two negative numbers are -3 and -27, satisfying both the sum of their squares equaling 74 and their difference being 24.

Answer:

√(100² + 60²) = √(10,000 + 3,600) = √13,600 = 20√34 = about 116.6 m

116.6 goes into the box.

Final answer:

The approximate monthly percent decrease in value is 0.67%.

Explanation:

To find the approximate monthly percent decrease in value, we need to first calculate the annual percent decrease. We know that the boat loses 8% of its value every year. So, the annual percent decrease is 8%.

To find the monthly percent decrease, we need to divide the annual percent decrease by 12 (since there are 12 months in a year).

Therefore, the approximate monthly percent decrease in value is 0.67%.

Final answer:

The approximate monthly percent decrease in value of the boat that depreciates at 8% annually is 0.65% when rounded to the nearest hundredth of a percent.

Explanation:

To find the monthly percent decrease in value of a boat that costs $23,400 and depreciates 8% annually, we need to calculate the equivalent monthly rate. The formula for monthly depreciation is (1 - (1 - annual depreciation rate)^(1/12)). In this case, the annual depreciation rate is 0.08 for 8%. Applying the formula, we get:

Monthly depreciation = 1 - (1 - 0.08)^(1/12) = 1 - (0.92)^(1/12)
= 1 - (0.92)^(0.08333...)
= 1 - 0.99347... (value calculated using a calculator)
= 0.00653... or 0.653% (after converting to a percentage).

To round to the nearest hundredth of a percent, we get approximately 0.65% monthly depreciation. This is the approximate monthly percent decrease in the boat's value.

Answer:

21

Step-by-step explanation:

Answer:(-4,-2)

Step-by-step explanation:

The smallest number is 90.63

We have three different two digit numbers total is 286.

We have to determine the smallest of the three numbers.

The two digit numbers can be in only in range of 1 to 99.

While a three digit number can be in range from 100 to 1000.

Hence, the two-digit number is smallest.

According to the question -

Let's assume that the three numbers are -   x, y and z.

Now -

x + y + z = 286

If we assume three equal two digit numbers will together make 286, than each two digit number will be = [tex]\frac{286}{3}[/tex] = 95.33.

In this case -   x = 95.33     y = 95.33       z = 95.33

Now, subtract 95.33 from 100 = 100 - 95.33 = 4.7

Assume, that we take 4.7 out from x, then x will be equal to -

x = 95.33 - 4.70 = 90.63

And divide 4.7 equally to both y and z -

y = z = 97.6

However, you can divide the 4.7 in any ratio among the numbers y and z for getting different numbers. Since we are focused on finding the smallest number of three we will not do it here.

Hence, the smallest number is x = 90.63

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When counting $5 bills, the values are $5, $10, $15, $20, $25, $30 with a pattern in the one digits of 5, 0, 5, 0, 5, 0. This demonstrates the pattern of addition with multiples of five.

Marvin is counting $5 bills, hence each time he counts a bill the total value increases by $5. The values Marvin counts are $5, $10, $15, $20, $25, $30.

The one digits in these values form a pattern, specifically, they are 5, 0, 5, 0, 5, 0.

This pattern repeats every two counts: a 5 followed by a 0. This is because adding 5 to a multiple of 10 results in a number ending in 5, and adding another 5 results in another multiple of 10, which always ends in 0.

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The value of expression at m=-1 is 100, so there were 100 visitors 1 months before the number of visitors was measured

The given equation can be solved in terms of E as E = V + F - 2.

A linear equation can be solved by equating the LHS and RHS of the equation following some basic rules such as by adding or subtracting the same numbers on both sides and similarly, doing division and multiplication with the same numbers.

The given equation is V - E + F = 2.

It can be solved as,

⇒ V - E + F = 2

⇒ V + F = 2 + E

⇒ E = V + F - 2

Hence, the solution for E can be obtained as E = V + F - 2.

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Final answer:

The equation V - E + F = 2 is solved for E by simple algebraic manipulation, resulting in the solved equation E = V + F - 2.

Explanation:

To solve the equation V - E + F = 2 for E, we need to isolate E on one side of the equation. This can be done through simple algebraic manipulation as follows:

The solved equation for E is thus E = V + F - 2.

This equation shows the relationship between the vertices (V), edges (E), and faces (F) in a polyhedron, known as Euler's formula in the context of geometry.

Answer:

D

Step-by-step explanation:

The student's question pertains to the mathematical analysis of motion, specifically through the interpretation of velocity versus time and position versus time graphs related to cycling activities and races.

The question involves interpreting graphs that represent the velocity versus time and position versus time of two individuals riding bicycles and a race between friends. Students in middle school are often introduced to concepts of speed, velocity, and displacement and are tasked with analyzing graphs to understand these concepts in a practical scenario. The problem sets mentioned, including the velocity-time graphs, position-time graphs, and measurements of motion through various activities such as biking or collision events, are all connected to the mathematical analysis of motion in physics. By understanding how to read these graphs, students can determine factors such as constant velocity, average speeds, displacement, and the outcomes of simple collisions. These skills are essential in developing an understanding of kinematics, which is a branch of classical mechanics that describes the motion of points, objects, and systems of bodies without considering the causes of motion.

The range of boys and girls is 12 hours.

The median for boys is 12.5 hours

The median for girls is 6.5 hours.

The range is the difference between the highest value and the lowest value of a given set of data.

We have,

From the line plot,

Boys:

Hours      Number of boys      

1

2

3

4

5

6

7

8        x

9

10        x x x

11

12     x
13     x

14     x

15      xx

16

17

18

19

20     x

Girls:

Hours      Number of girls

1

2
3   x

4    xxx

5

6    x

7    x

8    x

9

10  xx

11

12

13

14

15   x

Now,

Range:

Boys:

= Longest time - Shortest time

= 20 - 8

= 12 hours

Girls:

= 15 - 3

= 12 hours

Median:

Boys:

= 8, 10, 10, 10, 12, 13, 14, 15, 15, 20

= 12.5

Girls:

= 3, 4, 4, 4, 6, 7, 8, 10, 10, 15

= 6.5

Thus,

The range is the same for both boys and girls.

The median for boys is 12.5.

The median for girls is 6.5.

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The complete question:

Find the range and median for both boys and girls.