Suppose that an examination consists of 10 questions with the choice A, B, C, and D. Assume that a student has no knowledge of the subject matter. Then what is the probability that: Guessing at most two correct answers? Guessing at least seven correct answers? Which type of probability distribution it has? Why? average five smokers pass a crain traat B. C. Suppose that an examination consists of 10 questions with the choice A , B , C , and D. Assume that a student has no knowledge of the subject matter . Then what is the probability that : Guessing at most two correct answers ? Guessing at least seven correct answers ? Which type of probability distribution it has ? Why ? ​

The height of water increases by 2 inches per minute option first "The height of the water increases 2 inches per minute" is correct.

The ratio that y increase as x increases is the slope of a line. The slope of a line reflects how steep it is, but how much y increases as x increases. Anywhere on the line, the slope stays unchanged (the same).

[tex]\rm m =\dfrac{y_2-y_1}{x_2-x_1}[/tex]

We have given a table:

Time     height

2                8

4               12

6                16

8               20

10              24

The slope of the line = (12-8)/(4-2) = 4/2 = 2

The value of the slope is positive we can say,  the height of water increases as time passes.

Thus, the height of water increases by 2 inches per minute option first "The height of the water increases 2 inches per minute" is correct.

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the answer is A: The height of the water increases 2 inches per minute.

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The length of the side EF will be 1 unit, approximately.

The complete figure is attached below.

It deals with the size of geometry, region, and density of the different forms both 2D and 3D.

The figure is given below.

The length of EF will be

EF = CF – CE

Then the value of CF will be

CF = BC × cos 30

CF = 2 × 0.866

CF = 1.732

Then the value of CE will be

CE = BC × cos 42

CE = 1 × 0.743

CE = 0.743

Then we have

EF = 1.732 – 0.743

EF = 0.989 ≈ 1

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Answer:

Step-by-step explanation:

Comment

This can be done as a proportion. A proportion is 2 equal ratios. If you know three parts of the proportion then you can solve for the 4th.

Proportion

31 wrecks/1085 cars = 7 wrecks / x cars

Solution

31 wrecks/1085 cars = 7 wrecks / x cars        Cross Multiply

31 * x = 1085 * 7                                                Simplify the right

31 * x = 7595                                                     Divide both sides by 31

31 * x/31 = 7595/31

x = 245

Answer 7 wrecks means 245 cars have passed the intersection

A balanced and proportionate likeness observed in two sides of an item is characterized as symmetry. The shape can be completed as shown below.

A balanced and proportionate likeness observed in two sides of an item is characterized as symmetry. It signifies that one side is a mirror image of the other. The line of symmetry is the imaginary line or axis along which you can fold a figure to produce the symmetrical halves.

The shape can be completed as shown below, so that the complete shape is symmetrical about the given axis.

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An opportunity cost of 9 percent, is $42.

We have given that,

The present value of $100 is to be received 10 years from today,

assuming an opportunity cost of 9 percent,

present value =$100

N=10 years

I/y=9

PV= FV/(1+r)^n

Where FV is the future value.

Use the given values in the formula we get,

Therefore the correct answer is 42.

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[tex]\sqrt{64(6z-7)^2}=\sqrt{64}\cdot\sqrt{(6z-7)^2}=8\cdot |6z-7|=8|6z-7|[/tex]

A percentage is a way to describe a part of a whole. Jim's Height is 47.37% of Jack's height.

A percentage is a way to describe a part of a whole. such as the fraction ¼ can be described as 0.25 which is equal to 25%.

To convert a fraction to a percentage, convert the fraction to decimal form and then multiply by 100 with the '%' symbol.

Giraffe Jack is 19 feet tall, and Ostrich Jim is 9 feet tall.

A.) The percent of Jack's height is Jim's height,

Percentage = (Height of Jack/Height of Jim) × 100%

                   = 19/9 × 100%

                   = 211.11%

Hence, Jack's Height is 211.11% of Jim's height.

B.) The percent of Jim's height is Jack's height,

Percentage = (Height of Jim/Height of Jack) × 100%

                   = 9/19 × 100%

                   = 47.37%

Hence, Jim's Height is 47.37% of Jack's height.

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Answer:

211.11%

Step-by-step explanation:

Answer:

Liz

Step-by-step explanation:

if the chart is correct only 3 people spent more than 2 1/2 hours on homework when 9 people spent less than 2 1/2 hours on homework

Answer:

(1,4)

Step-by-step explanation:

Answer:

three

Step-by-step explanation:

60 - 39 = 21

21/7 = 3

Answer:

83.74

Step-by-step explanation:

First find the amount of the tax

79 * .06

4.74

Add this to the original price

79+4.74

83.74

The amount of pounds of his weight is made up of fat is 28.7lbs

Given the following parameters

Total weight of body = 164lbs

Percentage fat = 17.5%

Determine the amount made up of fat

Fat amount = 17.5% of 164

Fat amount = 0.175 * 164

Fat amount = 28.7lbs

Hence the amount of pounds of his weight is made up of fat is 28.7lbs

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the answer is 48

Step-by-step explanation:

since there are 4 egg options 4 meat options and 3 bread options. so u multiply this.

4×3×4=48

Inequalities help us to compare two unequal expressions. The inequalities that represent this graph are y<8/10x and y>-x. The correct option is C.

Inequalities help us to compare two unequal expressions. Also, it helps us to compare the non-equal expressions so that an equation can be formed.

It is mostly denoted by the symbol <, >, ≤, and ≥.

To find the inequality, we need to find the equation of the dashed line and then substitute the inequality as per the requirement. The dashed line is used instead of a solid line to show greater than or less than.

The inequality for the first graph can be written as,

[tex]y < \dfrac{8}{10}x[/tex]

The inequality for the second graph will be,

y>-x

Hence, the inequalities that represent this graph are y<8/10x and y>-x. Thus, the correct option is C.

The complete question is:

The graph below shows the solution to which system of inequalities?

A.) y>x , y ≥ (8/10)x

B.) y>-x, y ≤ (8/10)x

C.) y>-x, y < (8/10)x

D.) y>x, y > (8/10)x

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Answer: 0 ≤ y < ∞

Step-by-step explanation:

   First, let us graph the function. See attached.

-> If I graphed the formatting of the square root sign incorrectly, please let me know so I can fix the answer.

  The range of the function is all of the function's output values. In this case, all of the y values.

        0 ≤ y < ∞

Answer:

[tex]\boxed{\bf \angle \: C = 62^{o} }[/tex]

Step-by-step explanation:

The sum of the opposite angle of cyclic quadrilateral is 180°.

First, lets find x...

Now, let's find the measure of angle C....

________________________

Answer:

m=2 and b=8

Step-by-step explanation:

this is a linear equation, which takes on the formula of y=mx+b
therefore in the equation y=2x+8, 2 is the m, and 8 is the b

Answer: J. A translation of △XYZ to the right.

Step-by-step explanation:

I'll explain each bullet point one by one. A good hint is to pay attention to where the letters are.

-J is correct because the figure was shifted to the right.

-K is incorrect because if it was a reflection across the x-axis, the figure would be in Quadrant 3, or the bottom left.

-L is incorrect because if you pay attention to the letters, they are in the exact same place. If it was a reflection across the y-axis, the X' and Y' would switch places if you know what I mean.

-M is incorrect because if the figure was rotated 90°, point Z' would be furthest from the x-axis. In other words, the triangle would have been pointing up and not down.

-N is incorrect because if the figure was rotated 180° clockwise, the figure would have been in Quadrant 4, or the bottom right.

Given this information, the most appropriate answer is J.

I hope this helps! Pls give brainliest!! :)

Answer:

width=11/2

length=8

Step-by-step explanation:

44=(2w-3) x w area for a rectangle (44) = the length (2w-3) times the width (w)

44=2w^2 - 3w  distribute

2w^2-3w-44 = 0 subtract 44 from both sides

(w+4)(2w-11) factor

width=11/2

(11/2 x 2) - 3

length = 8

Answer:

C.  It is in Quadrant I

D.  It starts at the origin

Step-by-step explanation:

Parent function:  [tex]f(x)=\sqrt{x}[/tex]

Domain: set of all possible input values (x-values)

As the square root of a negative number does not exist in the set of Real Numbers, the domain for the parent function is:

Range: set of all possible output values (y-values)

As the domain of the parent function is x ≥ 0, the range will be:

As the range and domain both begin at zero, the graph of the parent function starts at the origin (0, 0).

Quadrant: a region of the Cartesian plane formed when the x-axis and y-axis intersect each other.

Quadrant I:  (x, y)

Quadrant II:  (-x, y)

Quadrant III: (-x, -y)

Quadrant IV:  (x, -y)

Therefore, as the range and domain of the parent function are positive, the graph is in Quadrant I.

Answer:

x

Step-by-step explanation:

[tex]f(g(x)) = 3(\frac{x+2}{3} )-2\\= x + 2 - 2\\= x[/tex]

Answer:

80 boys

Step-by-step explanation:

160 total players

50% are boys

50% of 160 is 80

The average rate of change (slope) is 579.875 if, in 2009, there were 12,078 Burger King restaurants; in 2017, there were 16,717 Burger King restaurants.

The ratio that y increase as x increases is the slope of a line. The slope of a line reflects how steep it is, but how much y increases as x increases. Anywhere on the line, the slope stays unchanged (the same).

[tex]\rm m =\dfrac{y_2-y_1}{x_2-x_1}[/tex]

We have:

In 2009, there were 12,078 Burger King restaurants; in 2017, there were 16,717 Burger King restaurants.

The slope:

[tex]\rm m =\dfrac{16717-12078}{2017-2009}[/tex]

m = 4639/8

m = 579.875

Thus, the average rate of change (slope) is 579.875 if, in 2009, there were 12,078 Burger King restaurants; in 2017, there were 16,717 Burger King restaurants.

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[tex]|\Omega|=10\cdot9=90\\|A|=3\cdot2=6\\\\P(A)=\dfrac{6}{90}=\dfrac{1}{15}\approx6.7\%[/tex]

The first option is correct and it best describes the constant difference for the function as a constant second difference of –6.

A function f(x) is the relation between a set of inputs resulting and producing the desired output value of y for each input.

From the given information:

x          f(x)           first difference        second difference   third difference

-2         0                    -                              -                              -

-1         -10            (-10-0)/-1--2 = -10           -                             -

0         -12            (-12 - 10)/0 -- 1= -2     (-2-10)/2 = -6              -

1          -12            (-12--12)/1-0 = 0         (0-2)/2 =  -1              (-1+6)/2 = 5/2

2         -16             (-16--12)/2-1 = -2       (-2-0)/2 = -1              (-1+1)/2 = 0

Therefore, we can conclude that the constant difference for the function is a constant second difference of –6.  

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Answer:

A

Step-by-step explanation:

Answer:

So generally, when you're trying to find the area under the curve, you want to integrate the function within the bounds in question, which in this case is 3 and 5. As a result, you get 4e^x - x^2/2. Then you want to subtract this when you put 3 in for x from when you put 5 in for x, such as the following:

(4e^5-25/2) - (4e^3 - 9/2)

When you combine like terms, you end up with the following answer:

4e^5 - 4e^3 - 8 square units

However, you can approximate the answer to 505.31 square units

Rewriting the equation of the given line in slope-intercept form,

[tex]2x-3y=13\\\\2x-13=3y\\\\y=\frac{2}{3}x-\frac{13}{3}[/tex]

Thus, the slope of the given line is 2/3. Since perpendicular lines have slopes that are negative reciprocals of each other, we want to find the line with a slope of -3/2.

Substituting into point-slope form,

[tex]y-5=-\frac{3}{2}(x+6)\\\\y-5=-\frac{3}{2}x-9\\\\\boxed{y=-\frac{3}{2}x-4}[/tex]

The reflection is

A reflection of a point, a line, or a figure in the X axis involved reflecting the image over the x axis to create a mirror image. In this case, the x axis would be called the axis of reflection.

For reflecting over the X axis is to negate the value of the y-coordinate of each point, but leave the x-value the same.

and, for reflecting over the Y axis is to negate the value of the x-coordinate of each point, but leave the y value the same.

So, by considering the above value rules the reflection of the given points as follows over respective axis.

E(7, 1) ⇒ (7, -1)

Here, the reflection is over x-axis because the y value is changing

F(-3, 5) ⇒ (-3, -5)

Here, the reflection is over x-axis because the y value is changing

G(6, -2) ⇒ (-6, -2)

Here, the reflection is over y-axis because the x value is changing.

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