A square has a side length of 6 inches. Which of the following is the length of its diagonal in inches?

(1.) 12

(2.) 6/3

(3.) 20

(4.) 10/2

Answer: 35

Step-by-step explanation: 41 - 6 = 35

The probability that engineer Jane or manager Mary is on the committee will be 1/11 formed with 4 managers and 4 engineers selected randomly without replacement from 11 managers and 16 engineers.

The probability of an event is a number that indicates how likely the event is to occur. It is expressed as a number in the range from 0 and 1, or, using percentage notation, in the range from 0% to 100%.

Probability = Expected/Total outcome

If 4 managers were randomly selected from 11 managers, the probability will be 4/11.

If 4 engineers were randomly selected from 16 engineers, the probability will be 4/16.

The probability that engineer Jane or manager Mary is on the committee will be -

= 4/11 * 4/16

= 1/11

Therefore, the probability is 1/11.

The given question is incomplete, the given question is given below :

A committee will be formed with 4 managers and 4 engineers selected randomly without replacement from 11 managers and 16 engineers. What is the probability that engineer Jane or manager Mary is on the committee?

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Answer:

The answer should be $3.125 or $3.13 rounded.

Step-by-step explanation:

First I divided 1.25 by 100 because 1 meter equals 100 centimeters.

1.25 ÷ 100 = 0.0125

Now that we know that it costs 0.0125 for 1 centimeter we multiply it by 250.

0.0125 * 250 = 3.125

Since it says to round to the nearest cent, the answer should be 3.13

Hope this helps! :)

Answer:

Step-by-step explanation:

Answer:

(a) 1, 2, 3, 6, 8

Step-by-step explanation:

Given

\(Median = 3\)

\(Mean = 4\)

Required

The sequence of hours worked each day

See attachment for options

From the question, we understand that:

\(Median = 3\)

This means that, the middle number is 3 (when sorted)

So, we can conclude that (b) and (c) cannot be true because their middle numbers are 6 and 5 respectively

Next, is to determine the mean of (a) and (d)

The mean of a data is calculated as:

\(\bar x = \frac{\sum x}{n}\)

So, we have:

(a)

\(\bar x = \frac{1+ 2+ 3+ 6+ 8}{5}\)

\(\bar x = \frac{20}{5}\)

\(\bar x = 4\)

(d)

\(\bar x = \frac{1+ 2+ 3+ 4+ 5}{5}\)

\(\bar x = \frac{15}{5}\)

\(\bar x = 3\)

Option (a) is true, because it has:

\(Median = 3\)

\(Mean = 4\)

Answer:

12.43

Step-by-step explanation:

Hi There Answer 12.43

Step-by-step explanation:

Answer:

>

Step-by-step explanation:

The bars around the numbers symbolize absolute value. The absolute value of a number is its distance from 0. Since distance is always positive the absolute value is that number but positive. In this case, 7 is greater than 2. So, the answer is 7>2.

As per the given information, we can conclude that the average distribution of colors in a bag of Skittles is:

- 20% of bags have an equal number of candies of each color. So, each color will have 100/6 = 16.67 (approx. 17) pieces of candy.

- 40% of bags have a 2-1-1-3-1-1 ratio of colors. Using this ratio, we can find out the number of pieces for each color:

- Red: 2/8 * 100 = 25

- Orange: 1/8 * 100 = 12.5 (approx. 13)

- Yellow: 1/8 * 100 = 12.5 (approx. 13)

- Green: 3/8 * 100 = 37.5 (approx. 38)

- Blue: 1/8 * 100 = 12.5 (approx. 13)

- Purple: 1/8 * 100 = 12.5 (approx. 13)

- 40% of bags have only red candies, which means the remaining colors have 0 pieces.

Therefore, the average distribution of colors in a bag of Skittles can be calculated as:

- Red: 40% * 100 = 40 pieces

- Orange: (20% * 17) + (40% * 13) = 4.4 + 5.2 = 9.6 (approx. 10)

- Yellow: (20% * 17) + (40% * 13) = 4.4 + 5.2 = 9.6 (approx. 10)

- Green: (20% * 17) + (40% * 38) = 4.4 + 15.2 = 19.6 (approx. 20)

- Blue: (20% * 17) + (40% * 13) = 4.4 + 5.2 = 9.6 (approx. 10)

- Purple: (20% * 17) + (40% * 13) = 4.4 + 5.2 = 9.6 (approx. 10)

Thus, the average distribution of colors in a bag of Skittles is 40 pieces of red, 10 pieces each of orange, yellow, blue, and purple, and 20 pieces of green.

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Answer:2350 million

Step-by-step explanation:

hope this helps

Answer:

C. -a+3/4b+4/3c

Step-by-step explanation:

It's right!

Step-by-step explanation:

If you use long division to divide y² - 49 by y - 7, you get the other factor y + 7

                   y   +   7

           ____________

  y - 7 ║    y²  -  0 y  -  49

             - (y²   -   7y)     ↓

             ______________

                    + 7y  -  49

                    - (7y  -  49)

                    ___________

⇒  y² - 49  = (y - 7) (y + 7)

The correct answer is option C. No, because the sample is not large enough to satisfy the normality conditions.

The conditions for creating a confidence interval for the population proportion have not been met because the sample is not large enough to satisfy the normality conditions. The assumption of normality in the sampling distribution of population proportions is crucial for constructing confidence intervals. When the sample size is small, the distribution may not be perfectly normal, and this can lead to inaccurate results.

In this case, the marketing representative interviewed 100 people at a specific supermarket. While the sample size of 100 may seem substantial, it might not be large enough to satisfy the normality conditions. A common guideline is to have a sample size of at least 30 for the normality assumption to hold.

Having a larger sample size helps ensure that the sampling distribution of the population proportion is approximately normal. A larger sample provides more data points, which can lead to a better representation of the population. It reduces the variability and potential bias in the estimates.

Additionally, it's important to consider the potential for non-response bias or selection bias. The sample obtained at a certain supermarket may not be representative of the entire state population. Different supermarkets may attract different demographics or preferences, which could affect the generalizability of the results.

Therefore, based on the given information, the conditions for creating a confidence interval for the population proportion have not been met due to the small sample size and potential lack of representativeness.

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The total number of penguins living in the building is: 4000.

The equation is:

p = (4 penguins/home on the first floor) + (333 penguins/home on the second floor) + (333 penguins/home on the third floor)

Here, we have,

given that,

A building has 6 homes per floor and 333 floors.

On the first floor, there are 4 penguins per home.

On the second and third floor, there are 333 penguins per home.

We can use the equation:

p = (4 penguins/home on the first floor) + (333 penguins/home on the second floor) + (333 penguins/home on the third floor)

Therefore, the equation we can use to find the total number of penguins living in the building is:

p = 4 + (333 * 6) + (333 * 6)

  = 4 + 1998 + 1998

  = 4000.

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Answer:

Step-by-step explanation:

The graph shows the value of an investment after x years.

The initial amount of the investment is $500, the investment grows at the rate of 6% each year, and the value of the investment after 10 years is $895.42

The pair of equations whose lines are perpendicular is (d) y = 1/6x + 3; y = -6x - 3

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

The pair of equations

By definition;

The slopes of perpendicular lines are opposite reciporcals

So, we have

(a) -1/3 and -3 false

(b) -3 and -6 false

(c) 3 and 3 false

(d) 1/6 and -6 true

Hence, the equations are (d) y = 1/6x + 3; y = -6x - 3

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Answer:

The 2nd one

Step-by-step explanation:

Did the test

Answer:

Y = 3/4X - 3/2

Step-by-step explanation:

3X - 4y =6

3X - 6 =4Y

Y = 3/4X - 3/2

The value of Y for the expression 3x - 4y = 6 will be Y = 3/4X - 3/2.

The mathematical expression combines numerical variables and operations denoted by addition, subtraction, multiplication, and division signs.

Mathematical symbols can be used to represent numbers (constants), variables, operations, functions, brackets, punctuation, and grouping. They can also denote the logical syntax's operation order and other properties.

The given expression is 3x - 4y = 6. The value for y will be calculated as,

3X - 4y =6

Rearrange the above equation and solve for Y,

3X - 6 =4Y

Y = 3/4X - 3/2

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Answer:

47.1 inches

Step-by-step explanation:

circumference is pi times diameter

3.14 times 15 is 47.1

Answer:

Step-by-step explanation:

47.1

Answer:

The value of k=13

Step-by-step explanation:

Given the equation

\(2\left(k\:-3\right)\:=\:k\:+7\)

\(2k-6=k+7\)

Add 6 to both sides

\(2k-6+6=k+7+6\)

\(2k=k+13\)

subtract k from both sides

\(2k-k=k+13-k\)

\(k=13\)

Therefore, the value of k=13

On a certain day, If 50 people enter the fair and $140 is collected, then there were 30 children and 20 adults attended the fair.

Let number of children be x

and let number of adult be y

Now, according to question

x+y = 50 …. ( equation 1)

and, according to cost of fair,

2x+4y= 140

x + 2y = 70 …. (equation 2)

solving equation 1 and equation 2 we get

y = 20

putting the value of y in equation 2 we get

x + 2y = 70

x + 2(20) = 70

x = 70-40

x = 30

Hence, there are 30 children and  20 adults in the fair.

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Answer:

They are equal

Step-by-step explanation:

7 * 10 = 70

7 * 10 = 70

They are equal because 70 = 70

Answer:

Step-by-step explanation:

Not for sure but what i know they would be even

Answer:

A, -92

Step-by-step explanation:

hope it helps

Answer:

Step-by-step explanation:

-92

The angles for the complementary angles are 42° and 48°.

Complementary angles are the angles that have a value equal to 90°.

Since one angle is 6 degress less than the other angle. This will be x and x + 6.

Therefore, we'll equate them to 90°.

x + x + 6 = 90°

2x + 6 = 90°

2x = 90 - 6

2x = 84

Divide

x = 84 / 2

x = 42

x + 6 = 42 + 6 = 48

The angle are 42 and 48°.

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Answer:   x < 5

We could further say 0 ≤ x < 5 to ensure x is never negative. Or we could stick with x < 5 and mention x is nonnegative.

Answer:

About 25.13

Step-by-step explanation:

circumference equation: 2pi(r)

2pi(4) = 25.13

Answer:

Step-by-step explanation:

∠ADB = ∠CDB = 90°  (equal angles on a straight line are complimentary)

BD=BD                          (common side)

AD = CD                         (D is midpoint of AC)

∴\(\triangle\)ABD ≡ \(\triangle\)CBD          (SAS)  

I hope this is useful.

The distribution of the given function is a uniform distribution.

A strictly increasing function is the one which increases continuously in a given interval. If f-1(u) is a strictly increasing function of u, then the distribution of f-1(u) is the same as that of u. This is because a strictly increasing function preserves the rank ordering of its input, so if u-1 and u-2 are two random variables with a uniform distribution on the interval (0,1), then the rank order of f-1(u-1) and f-1(u-2) will be the same as the rank order of u-1 and u-2. Since the uniform distribution is defined by the rank order of its values, this means that the distribution of f-1(u) is also uniform on the interval (0,1).

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It depends on the specific nonlinear system of equations. Generally speaking, there could be one or multiple solutions, or there could be no solutions.

A nonlinear system is a system of equations or functions which does not yield a linear relationship or linear solution when solved. A nonlinear system is often difficult to solve due to its inherently complex nature. Nonlinear systems can be found in multiple areas, such as engineering, economics, and mathematics.

If the equations are linear, then there will be exactly one solution. If the equations are nonlinear, then there could be no solutions, one solution, or multiple solutions (including infinitely many solutions). To find the exact number of solutions, you would need to solve the system of equations.

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Answer:  Point V's coordinates would be (9, -8)

Answer:

Step-by-step explanation:

r = 8 cm

Area of circle = πr²

                        = 3.14 * 8 * 8

                       = 200.96 cm²

Answer:

201.06

Step-by-step explanation:

π•8²