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Answer: B and D

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Two events are independent if the occurrence of one event does not affect the probability of the other event occurring.

A probability of an event is a number in science that indicates how likely the event is to occur.

It is expressed as a number between 0 and 1, or as a percentage between 0% and 100% in percentage notation. The higher the probability, the more likely the event will occur.

Two events are considered independent if the occurrence of one event has no effect on the likelihood of the other event occurring.

We can see that events A and B are independent in this case because the type of meat in the burrito has no effect on the likelihood of the customer requesting a specific type of beans.

Similarly, events C and D are independent because the type of beans requested does not depend on the type of meat in the burrito.

Thus, events A and B are independent and events C and D are independent.

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Answer:

The house value increase by $17,040 in dollar terms

The current value of the house $ 230,040

Step-by-step explanation:

The increase in value of the house can be determined as the difference between the value of the house now after 8% increase in value and the earlier value of $213,000

new value=earlier value *(1+% increase in value)

% increase in value is 8%

new value=$213,000*(1+8%)

                 =$213,000*1.08=$230,040.00  

increase in value= $230,040-$213,000=$17,040

The increase in value of the house of 8% translated into a dollar value of $17,040

Answer:

6 apples and 5 bananas

Step-by-step explanation:

x + y = 11

x = 11 - y

1.75x + 0.70y = 14

1.75(11 - y) + 0.7y = 14

19.25 - 1.75y + 0.7y = 14

5.25 = 1.05y

y = 5

x = 11 - 5 = 6

Answer:

3 apples and 7 bananas

Step-by-step explanation:

sry thats 1

Answer: The point estimate for this population proportion is 0.2

Step-by-step explanation:

The point estimate for this population proportion is also referred to as the sample proportion. This is also known as the probability of success, p. The formula for determining p is expressed as

p = x/n

Where

n represents the number of samples

x represents the number of success

From the information given,

n = 200

x = 40

p = 40/200 = 0.2

Answer:

$165

Step-by-step explanation:

Answer:

156$

Step-by-step explanation:

Answer:

22

Step-by-step explanation:

it is epuivalet

Answer:

its y = 3x + 4

Step-by-step explanation:

it is because the y intercept is 4 and the slope is 3/1

Answer:

Area≈153.94in²

Answer:

2

Step-by-step explanation:

2+2 = 4

4/2 = 2

Answer:

its 2

Step-by-step explanation:

Answer:

[tex]y-3=\frac{1}{5} (x-2)[/tex]

Step-by-step explanation:

First you need to find the slope by using this formula: [tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex]

[tex]m=\frac{(4)-(3)}{(7)-(2)}\\m=\frac{1}{5}[/tex]

Now you can put it in point slope form which is: [tex]y-y_1=m(x-x_1)[/tex]

[tex]y-3=\frac{1}{5} (x-2)[/tex] is your answer.

Answer:

25 inches

Step-by-step explanation:

Using the Pythagorean theorem;

20^2 + 15^2 = C^2

C= 25

Answer:

its 25

Step-by-step explanation:

there right

Answer:

the answer is [tex]\sqrt{53}[/tex]

Step-by-step explanation:

Answer:

Second option

Step-by-step explanation:

Diagonal² = 6² + 4²

Diagonal² = 52

AB² = diagonal² + 1²

AB² = 52 + 1

AB² = 53

AB = sqrt(53)

Answer:

y= ax^2 + bx + c although this is the quadratic form in standard form

Answer:

450 m²

Step-by-step explanation:

Let x = length of rectangle and y = width of the rectangle.

Therefore,

2x + y = 60...............(1)

Making y subject of the formula, we have:

y = 60 - 2x............... (2)

We know area of a rectangle is length * width i.e A = x*y

Let's substitute (60-2x) for y,

A = x * (60-2x)

= 60x - 2(x)²

= -2x² + 60x

[tex] \frac{dA}{dx} = -2x^2 + 60x = [/tex]

-4x + 60 = 0

-4x = -60

[tex] x = \frac{-60}{-4} = 15 [/tex]

Let's substitute 15 for x in equation 2, we have:

y = 60 - 2(15)

= 60 - 30

y = 30

Since x = 15 & y = 30, the area would be:

A = xy

A = 15 * 30

A = 450 m²

The maximum area of the dog pen is 450m²

Answer:

max buys 5 packs of 8 stickers for his class. Then he buys 6 additional stickers. How many stickers did he buy in total?

Step-by-step explanation:

Answer:

V = πr²h

To determine the volume of a cylinder you have to multiply the area of the base by the height of the cylinder.

Step-by-step explanation:

The base of a cylinder is a circle. So we must find the area of the circle first. (Which is πr²)

Then we multiply the height by the area of the circle.

V = π·r²·h

This can be used in different ways as well,

if we don't know the radius but know everything else we could use the formula:

[tex]r=\sqrt{\frac{V}{\pi*h} }[/tex] (r = √(V/πh))

If we don't know the height we use this formula:

(h = V/(πr²))

here your answer mate

3.25

hope it helps ☺️✌️

Answer:

3.25

Step-by-step explanation:

16/13 = 4/r

16 × r = 13 × 4

16r = 52

r = 52/16 = 3.25

Answer:

The first choice is correct

Answer:

A which is the top left answer

Step-by-step explanation:

Answer:

2003.85

Step-by-step explanation:

365/2 * (3 + 1095) = 200385.

1 Dollar = 100 pennies

200385 pennies/100 = 2003.85

so you have $2003.85 in your account on the 365th day.

hope this helps :-)

Answer:

36°.

Step-by-step explanation:

To find this, we will simply need to know that the sum of the angles of a triangle is 180°. This means that in order to find the measure of the third angle, we will need to subtract the others from 180°.

180 - 99 - 45 = 36°.

The measure of the third angle is 36°.

Answer:

Out side the circle

Step-by-step explanation:

This is because the center is 0 and if the point 6, square root seven is on the circle that mean that as far as the circle goes on each side.

The second ramp needs to have an angle of 20° from the ground to achieve the overall angle of 35° for the car to drive off smoothly and reach the desired height.

Here,

To find the angle measure the second ramp needs to have, we can use the concept of angles of elevation and depression.

When the car drives off the first ramp, it will be going at an angle of 15° from the ground, and the angle of elevation from the ground to the car will also be 15°.

This is because the angle of elevation is the angle between the horizontal line and the line of sight from the ground to an object above the ground.

Now, when the car reaches the top of the first ramp, it will be at the same level as the second ramp.

At this point, the car needs to continue its ascent with an additional angle of 20° (35° - 15°) to reach the desired angle of 35° from the ground.

So, the second ramp needs to have an angle of 20° from the ground to achieve the overall angle of 35° for the car to drive off smoothly and reach the desired height.

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Answer:

She would need 144 square feet of carpet.

Step-by-step explanation:

Since the pen is 12 feet by 12 feet you would multiply 12 by 12 for your answer of 144 square feet.

Answer:

D.6

Step-by-step explanation:

Answer:d)4

Step-by-step explanation:

Answer:

Step-by-step explanation:

B

Answer:

D: 132 ft

Step-by-step explanation:

C= π2r

So, take pi and multiply that by two..

π2= 6.28

Now, take your radius and multiply it by 6.28.

21 x 6.28= 131.88

Round it two the nearest whole number, which is 132!

Hope this helps!

Answer:

132

Step-by-step explanation:

Answer:

divide both sides by 2

Step-by-step explanation:

divide both sides by 2 then simplify and get x = 9 over 32

Answer:

Transposing square to rhs,it becomes root

Step-by-step explanation:

[tex]x^{2} =9/16[/tex]

[tex]x=[/tex][tex]\sqrt{9}/\sqrt{16\\[/tex] (transposing square to rhs,it becomes root)

[tex]x= 3/4[/tex]

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