According to a study done by a university student, the probability a randomly selected individual will not cover his or her mouth when sneezing is 0.267. Suppose you sit on a bench in a mall and observe people's habits as they sneeze. (a) What is the probability that among 18 randomly observed individuals exactly 8 do not cover their mouth when sneezing? (b) What is the probability that among 18 randomly observed individuals fewer than 3 do not cover their mouth when sneezing? (c) Would you be surprised if, after observing 18 individuals, fewer than half covered their mouth when sneezing? Why? CAD 0 (a) The probability that exactly 8 individuals do not cover their mouth is (Round to four decimal places as needed.)

Fred owes $14,250 in credit card debt.

We must total up all of Fred's assets and liabilities, then subtract them to arrive at the amount he owes on his credit cards.

Let's figure it out:

Total Assets:

House (current value) = $105,900

Checking Account = $375

Vehicle (current value) = $13,500

Savings Account Value = $1,275

Total Liabilities:

Credit Card Debt = ?

Student Loans = $32,000

Personal Loans = $800

Total Assets - Total Liabilities = Net Worth

105,900 + 375 + 13,500 + 1,275 - (Credit Card Debt + 32,000 + 800) = 74,000

Solving for Credit card debt =

Credit Card Debt = 74,000 - 88,250

Credit Card Debt = -14,250 [The negative sign identifies it as a liability, as you can see.]

Therefore, Fred owes $14,250 in credit card debt.

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Answer:

Resultant is 50 mi/hr in the north east direction

Step-by-step explanation:

Plane is traveling north east at 150 mi/hr.

Now a wind is blowing from the south west at 100 mi/hr.

Now, north east and south west are directly opposite directions and such the angle between the resultant speed of the plane in flight and the wind will be;

150 - 100 = 50 mi/hr

Since the north east speed is greater than the south east speed, then the direction will be north east.

Thus, resultant is 50 mi/hr in the north east direction

Answer:

11 = 132, 5 = 60

Step-by-step explanation:

First, you have to divide 4 by 4 and 48 by 4 to get 1 and 12 then times both by 5 to see how much it would cost for 5 tickets and by 11 to see how much money for 11 tickets.

Answer:

6

Step-by-step explanation:

Answer:

6.38 in 12 months

Step-by-step explanation:

Answer:

The formula for area of a parallelogram is A=bh

x=10.3

Step-by-step explanation:

We don't have the base but we have the height.

the base is x and the height is 5

if the area is 51.5

we should divide the height to find the base.

51.5÷5=10.3

so the base is 10.3

Check if answer is correct:

b=10.3

h=5

a= 51.5

10.3(5)=51.5

a= 51.5cm²

I hope this helps as long as you know the formula it's easy :D

The measures that will form right angles are 14, 48 and 50 AND 35, 120 and 125

For the sides of a triangle to be right-angled, the sum of the square of the longest side must be equal to the measure of the sum of the square of the other two sides

According to the question, we are to select the sides of the triangle that will form a right angle.

The measures that will form right angles are 14, 48 and 50 AND 35, 120 and 125

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Answer:

Student B is incorrect

Step-by-step explanation:

They added terms with variables of different powers.

Step-by-step explanation:

Area of circle= Πr²

Πr² = 132² m

r²=132²/Π m

=5546.23m

r =√5546.23

=74.473 m

Answer:

289

Step-by-step explanation:

using the method of completing the square

add ( half the coefficient of the u- term )² to u² + 34u

u² + 2(17)u + 17²

= u² + 34u + 289

= (u + 17)² ← a perfect square

When you are doing calculations, you can usually tell when you need to change base by looking at the problem. If the problem includes fractions, a base other than 10 may be more efficient. If the problem includes exponents, a base other than 10 may be necessary.

When working with numbers, it is important to know what base the numbers are in in order to correctly perform calculations. The base of a number is the number of digits used to express it, meaning that the base of a number can range from base 2 (binary) to base 36 (base 36 uses the numbers 0-9 and the letters A-Z).

Changing the base of a number can be helpful when dealing with fractions, exponents, and other complex calculations. To change the base of a number, divide the number by the base and then divide the remainder by the base, continuing to divide until the remainder equals 0.

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Answer:

f(8) = 38

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Algebra I

Step-by-step explanation:

Step 1: Define

f(x) = 5x - 2

f(8) is x = 8

Step 2: Evaluate

The area of the polygon is solved to be  1044 squared cm

The area of the composite polygon is solved by dividing the object into two sections. Then adding up the areas

Section 1 has dimensions:

length * width = 46 * 14 = 644

section 2 has dimensions:

length = 46 - 21 = 25

width = 30 - 14 = 16

Area = 25 * 16 = 400

Area of the composite figure

section 1  + section 2

= 644 + 400

= 1044 squared cm

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Answer:

7 × 10⁴ (option D.)

Step-by-step explanation:

Take the missing value as 'x'.

5 × 10³ + x = 7.5 × 10⁴

x = (7.5 × 10⁴) - (5 × 10³)

x = (7.5 × 10000) - (5 × 1000)

x = 75000 - 5000

x = 70000

x = 7 × 10⁴ (option D.)

______

Hope it helps ⚜

\(5 \times {10}^{3} + ....... = 7.5 \times {10}^{4} \)

the true equation

let the unknown be y

\(y = (7.5 \times {10}^{4} ) - (5 \times {10}^{3} )\)

\(y = (7.5 \times 10000) - (5 \times 1000)\)

\(y = 75000 - 5000\)

\(y = 70000\)

\(y = 7 \times {10}^{4} \)

therefore, the correct answer is option D

The definition of slope-intercept form y=mx+b is given below.

A line has length but no breadth, making it a one-dimensional figure. A line is made up of a collection of points that may be stretched indefinitely in opposing directions. Two points in a two-dimensional plane determine it. Collinear points are two points that are located on the same line.

In geometry, there are two types of lines: straight and curved. Vertical and horizontal straight lines are further divided into categories. Parallel, intersecting, and perpendicular lines are further types of lines.

In the given question:-

The value of the steepness or the direction of a line in a coordinate plane is referred to as the slope of a line, also known as the gradient. Given the equation of a line or the coordinates of points situated on the straight line, slope may be determined using a variety of approaches.

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Using the central limit theorem, the conditions are:

The population should be symmetrical. If the population is skewed sample size should be sufficiently large at least 30.

Samples should be drawn strictly at random.

The sample observations should be independent.

The central limit theorem states that, under certain circumstances, the sampling distribution of the sample mean is roughly normal.

The circumstances are

I) The population ought to be balanced. If the population is skewed, the sample size should be at least 30.

ii) Samples must be chosen completely at random.

iii) Independent observations for the sample should be used.

The sample size must be large (e.g., at least 30) as the necessary condition.

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Answer:A=452.16

Step-by-step explanation:

A=π·r²

A=3.14·12²

A=3.14·144

A=452.16

Answer:

15. (8x^3 + 27)(x + 1)

17. (x^2 + 3)(x + 2)

Step-by-step explanation:

8x^3(x + 1) + 27(x + 1)

x^2(x + 2) + 3(x + 2)

Answer:

Shirts are 6

Hats are 5

Step-by-step explanation:

This is a system of equations. Set up the equations first.

7s + h = 47

5s + h = 35    

-----------------------      Subtract the equations to eliminate the h variable

2s = 12                      Divide by 2 to solve

s = 6                          Each hat is 6

Plug the 6 in for s in either of the original equations

7(6) + h = 47

42 + h = 47          Subtract 42 from both sides

h = 5

The equation of the graphed function is given as follows:

f(x) = x³ + 2x² - 5x - 6.

The equation of the function is obtained considering the Factor Theorem, as a product of the linear factors of the function.

From the graph, the zeros of the function are:

Hence the function is:

f(x) = a(x + 3)(x + 1)(x - 2).

In which a is the leading coefficient.

Expanding the product, we have that:

f(x) = a(x² + 4x + 3)(x - 2)

f(x) = a(x³ + 2x² - 5x - 6).

When x = 0, y = -6, hence the leading coefficient a is obtained as follows:

-6a = -6

a = 1.

Hence the function is:

f(x) = x³ + 2x² - 5x - 6.

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Sara owed $200 with terms of 2/10, n/60. She made a payment of $80 within ten days. The answer is: Sara paid $80 within ten days.

The terms "2/10, n/60" refer to a discount and a credit period. The first number, 2, represents the discount percentage that Sara can take if she pays within 10 days. The second number, 10, indicates the number of days within which she can take the discount. The letter "n" represents the net amount, which is the total amount owed without any discount. The last number, 60, represents the credit period, which is the maximum number of days Sara has to make the payment without incurring any penalty.

Since Sara paid $80 within ten days, she was eligible for the discount. To calculate the discount, we multiply the discount percentage (2%) by the net amount ($200), which gives us $4. Therefore, the discount Sara received is $4. Subtracting the discount from the net amount, Sara's remaining balance is $200 - $4 = $196.

In conclusion, Sara made a payment of $80 within ten days, received a discount of $4, and still has a remaining balance of $196.

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Maximum number of bracelets Tara can make is 6.

Number line is a horizontal line where numbers are marked at equal intervals one after another form smaller to greater.

Given that;

Tara has a plastic string that is 3 3/4 feet.

And, She will cut the string to make bracelets that are each 5/8 feet long.

Now,

To find maximum number of bracelets Tara can make, we can draw the point at equal distance 5/8 feet to reach 15/4 feet.

Then, Calculate the number of points to draw which is equal to the maximum number of bracelets Tara can make.

That is,

Maximum number of bracelets Tara can make = 15/4 ÷ 5/8

                                                                        = 15/4 × 8/5

                                                                        = 6

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The purpose of stories "Here at the given any rate is said the bachelor, and then collecting his belongings preparatory to leaving the carriage, then he kept them quiet for ten minutes, which was more than you were able to do."

Here we need to excerpt from the storyteller best supports the theme that the purpose of stories.

While we look the bachelor says at the end they said that he kept them quiet for ten minutes, which was more than you were able to do and then he is implying that no matter what she thought of his story and how much "better" she thought she could've done it, and then his was able to capture the attention of these kids and that is the matter of the issue because, therefore for a story and then entertaining is more important than proper form

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An output of given code is,

Type-Error: 'float' object cannot be interpreted as an integer

In Python, range() can only work with integers.

The range() function returns a sequence of numbers, starting from 0 by default, and increments by 1 (by default), and stops before a specified number.

It has parameters, range(start, stop, step)

1) start

It is an integer number specifying at which position to start.

It is an optional parameter of range().

The default value is 0

2) stop

It is an integer number specifying at which position to stop.

It is required parameter of range().

3) step

It is an integer number specifying the incrementation.

It is an optional parameter of range().

The default value is 1.

In this question,

We have been given a code,

for x in range(0.5, 5.5, 0.5):

    print(x)

The output of the above code would be an error.

An output of given code is,

Type-Error: 'float' object cannot be interpreted as an integer

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The statement "The two-second rule is the accepted method of computing the following distance" is true.

The two-second rule is a widely recognized guideline used to determine a safe distance to maintain between vehicles while driving. It suggests that drivers should keep a time gap of at least two seconds between their vehicle and the vehicle in front of them.

The two-second rule is based on the principle that it takes about two seconds for a driver to perceive a hazard, react to it, and begin to apply the brakes. By maintaining this time gap, drivers allow themselves enough space to react to sudden changes in the traffic situation or unexpected maneuvers by the vehicle ahead.

Thus, the given statement is true.

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well, since the y-intercept is at -5, or namely when the line hits the y-axis is at -5, that's when x = 0, so the point is really (0 , -5), and we also know another point on the line, that is (-1 ,6), to get the equation of any straight line, we simply need two points off of it, so let's use those two

\(\stackrel{y-intercept}{(\stackrel{x_1}{0}~,~\stackrel{y_1}{-5})}\qquad (\stackrel{x_2}{-1}~,~\stackrel{y_2}{6}) \\\\\\ \stackrel{slope}{m}\implies \cfrac{\stackrel{rise} {\stackrel{y_2}{6}-\stackrel{y1}{(-5)}}}{\underset{run} {\underset{x_2}{-1}-\underset{x_1}{0}}} \implies \cfrac{6 +5}{-1} \implies \cfrac{ 11 }{ -1 } \implies - 11\)

\(\begin{array}{|c|ll} \cline{1-1} \textit{point-slope form}\\ \cline{1-1} \\ y-y_1=m(x-x_1) \\\\ \cline{1-1} \end{array}\implies y-\stackrel{y_1}{(-5)}=\stackrel{m}{- 11}(x-\stackrel{x_1}{0}) \implies y +5 = - 11 ( x -0) \\\\\\ y+5=-11x\implies {\Large \begin{array}{llll} y=-11x-5 \end{array}}\)

The number of days spent or taken by assistant with work efficiency of 2 units per day to do the work alone is equals to the 7.5 days.

We have provide that there is a carpenter and his assistant can do a piece of work.

Number of days taken by both carpenter and his assistant to do a piece of work = 3 days.

Number of days taken by carpenter and to do the same piece of work alone = 5 days.

We have to determine number of taken by assistant and to do the same piece of work alone.

Let the required number of days that the assistant take to do the work alone be 'x days'. As we know, total available work units = LCM (3,5) = 15 units

Ability or efficiency of a person or man is calculated by dividing the total work units to the number of working days spent to do the work.

Now, Ability or efficiency of both carpenter and his assistant work together = 15/5

= 3 units/day

Similarly, Ability or efficiency of carpenter = 15/3

= 5 units/day

So, Ability or efficiency of assistant= 5 - 3 = 2 -(1)

Using efficiency formula, efficiency of assistant

= 15/x --(2)

from (1) and(2), 15/x = 2

=> 2x = 15

=> x = 7.5

Hence, required number of days are 7.5 days.

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Answer:

75/200

Step-by-step explanation:

You can also simplify this.

Answer: 225 (passengers and drivers)

Step-by-step explanation:

I'm not sure what people you're talking about or the purpose but I'll assume you mean the bus drivers and passengers.

211/16 = 13.1875 buses, of course we can't have 0.1875 buses so we round up, 14 buses

each bus need 1 driver so 14 drivers

drivers: 14

passengers: 211

total amount of people: 225