Natalie has 2 number pyramids each labeled 1 to 4. Natalie is going to conduct an experiment by tossing both pyramids a total of 96 times. She will find the difference of each pair of numbers rolled by subtracting the lesser number from the greater number. How many times should Natalie toss a difference of 0?

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Answer:

  A.  6

Step-by-step explanation:

The wording "set A and set B" means you're interested in elements that belong only to both. In your diagram, that is Region II. There are 6 elements that belong to A and B.

  AB = 6

_____

Additional comment

"A and B" is also called the "intersection" of the two sets: A ∩ B.

The number you have chosen is the number in Regions I, II, and III. That is the set of elements that belong to A or B. You have identified the "union" of the two sets: A ∪ B. (It might also be represented as A+B.)

Answer:

4/52 or 1/13 (simplified)

Step-by-step explanation:

There are 4 "10's" in a pack.

This means you have the chance to pick 4 10's.

So out of 52 cards, you can get 4.

4/52 -> Which can be simplified to 1/13.

This is the probability of getting a 10 (once) in a standard deck of cards.

The probability of drawing a 10 from a standard deck of 52 cards is 1/13.

Number of 10's in a standard deck of 52 cards  =4

Total cards =52

Probability is the measurement of the possibilities of events.

P(event) =Favorable outcomes/ Total possible outcomes

Here, Favorable outcomes =4

Total possible outcomes =52

P(10) =4/52

P(10) =1/13

So, the probability of drawing a 10 from a standard deck of 52 cards =1/13

Thus, the probability of drawing a 10 from a standard deck of 52 cards is 1/13

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Answer:

5

Step-by-step explanation:

Answer:

Isoceles

Step-by-step explanation:

Isoceles triangles have 2 sides that are the same length.

Answer: 95

Step-by-step explanation:

The easiest way to solve this problem is to solve for each of the triangles:

(formula: B*H/2) 10*3/2 + 10*16/2

15+80

95

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Answer:

y = 9√2

Step-by-step explanation:

By applying Pythagoras theorem in the given right triangle,

(Hypotenuse)² = (leg 1)² + (leg 2)²

y² = 9² + x²

By the property of isosceles triangle,

Two angles of the right triangle are equal in measure, opposite sides of these equal angles will be equal in measure.

Therefore, x = 9

y² = 9² + 9²

y² = 81 + 81

y² = 162

y = √162

y = 9√2

Answer:

9-8 = 1  and 7 times 2 = 14

Step-by-step explanation:

The volume of a right circular cone has a height of 5.4 m and a base with a diameter of 5.1 m is 90.07 cubic meter.

Suppose that the radius of the considered right circular cone is 'r' units.

And let its height be 'h' units.

Then, its volume is given as:

[tex]V = \dfrac{1}{3} \pi r^3 h \: \rm unit^3[/tex]

The right circular cone is the cone in which the line joining the peak of the cone to the center of the base of the circle is perpendicular to the surface of its base.

The volume of a right circular cone has a height of 5.4 m and a base with a diameter of 5.1 m.

[tex]V = \dfrac{1}{3} \pi r^3 h \: \rm unit^3[/tex]

[tex]V = \dfrac{1}{3} \times 3.14 \times 2.5^3 \times 5.4 \: \rm unit^3\\\\= 270.23 / 3\\\\= 90.07[/tex]

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Answer:

C. No, because the subjects are randomly assigned to treatment groups

Step-by-step explanation:

We are told that 80 people are selected at random and are given the drug gabapentin.

Also that the remaining people are given the placebo.

This means that they are randomly assigned treatment groups and so it is a completely randomized block design and as such the use of volunteers doesn't make it invalid.

Answer:

add all the numbers and divide by 4

Step-by-step explanation:

Answer:

D

Step-by-step explanation:

F(0)= 0^2+7(0)+10/ 0^2 - 7(0)+6 = 1.67

F(0.5)= 0.5^2+7(0.5)+10/ 0.5^2 - 7(0.5)+6 = 5

[tex]RateofChange = \frac{F(0.5) - F(0)}{0.5 - 0} = 6.667[/tex]

Answer:

20 becuase thats how many shells are in the table

Step-by-step explanation:

Answer:

It would cost $16.66

Step-by-step explanation:

To find the individual cost of one song you would divide $5.95 by 5 since that's what it costs for 5 songs. Each individual song costs $1.19. So then you multiply $1.19 by the 14 songs and get the answer of $16.66

Answer:

10) x = 8.12

12) x = 5.5

Step-by-step explanation:

10) tan 32° = x/13

x = 8.12

12) cos 60° = x/11

x = 5.5

Answer:

C

Step-by-step explanation:

1. The third term has an exponent of 1.

2. A constant is the number with no variable.

I hope this helps ^-^

your answer would be 96

Answer:

60 yd

Step-by-step explanation:

Volume is length x width x height. Therefore in this case, we do 4x3x5 which turns out to be 60. Also don't forget to add yd after your answer because this is measured in yards.

Answer:

-1 is the correct answer

Step-by-step explanation:

Move that many points on the number line

The position of B on number line is at - 1.

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

Given that;

Point A is shown on the the number line below.

And, Another point, B , is to be placed on the number line and will be 2 1/2 unit from point A.

Now,

Since, The position of Point A = 1 1/2

And, Another point, B , is to be placed on the number line and will be 2 1/2 unit from point A.

So, The point B = 1 1/2 + (-2 1/2)

                        = 3/2 - 5/2

                        = - 2/2

                        = - 1

Thus, The position of point B = - 1

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Answer:

None, this is an isosceles triangle.

Answer:

C. The random variable is discrete. The possible values are x= 0, 1, 2... 100

C. The random variable is continuous. The possible values are a > 0.

Step-by-step explanation:

Here is the complete question :

Determine whether the random, variable is discrete or continuous.

In each case, state the possible values of the random variable.

(a) The number of people in a restaurant that has a capacity of 100

(b) The square footage of a house.

(a) Is the number of people in a restaurant that has a capacity of 100 discrete or continuous?

A. The random variable is discrete. The possible values are 0≤x≤ 100.

B. The random variable is continuous. The possible values are 0≤x≤ 100.  

C. The random variable is discrete. The possible values are x= 0, 1, 2... 100

D. The random variable is continuous. The possible values are x= 0, 1, 2... 100

b) Is the square footage of a house discrete or continuous?

A. The random variable is discrete. the possible values are a > 0  

B. The random variable is discrete. The possible values are a = 1, 2, 3...

C. The random variable is continuous. The possible values are a > 0.

D. The random variable is continuous. The possible values are a = 1,2, 3,

A discrete variable is a variable that can be counted. It has a finite amount of values. The number of people in the restaurant is finite. It cannot exceed 100. At any point in time when you count the number of people in the restaurant and it would be between 0 - 100

A continuous variable has an infinite amount of values it can take on. The square footage of a house can be of any size. there is no limit to the size of a house. it can be as small or big as the architect's imagination allows.

your answer is 1st quadrant!

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Have a good day <3

Answer:

12350

Step-by-step explanation:

I had the same question on a math test

Answer:

30 inches

Step-by-step explanation:

If there are 12 inches in one foot, then that means that 2 feet is double 12, or 24. Plus, we have the 6 inches added, so we must add 24 + 6, which is 30 inches in total. Hope this helps!

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Answer:

  12.5 cm

Step-by-step explanation:

Triangle IDA is a 3-4-5 right triangle with a scale factor of 5. That is, segment AI is 25 cm long. Since IS is half the length of the diagonal, it is ...

  IS = (25 cm)/2

  IS = 12.5 cm

__

If you like, you can work out the length of AI using the Pythagorean theorem:

  AI² = DI² +DA²

  AI = √(15² +20²) = √(225 +400) = √625 = 25

Answer:

654 ft

Step-by-step explanation:

in this case you have a SOH-CAH-TOA problem.

we need Adjacent and opposite so we use tan

tan (17) = O/A

tan (17) = 200ft / x

x = 654.17 ft

to the nearest foot = 654 ft

Leave a like and mark brainliest if this helped

Leave a like and mark brainliest if this helped

The distance that represent the ship from the base of the cliff should be considered as the 654 ft.

Since

A ship’s captain sights the top of a 200 foot cliff at a 17° angle of elevation.

So the following formula should be applied

[tex]tan (17) = O/A\\\\tan (17) = 200ft / x[/tex]

x = 654.17 ft

= 654 ft

hence, The distance that represent the ship from the base of the cliff should be considered as the 654 ft.

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9514 1404 393

Answer:

  x = 74°

Step-by-step explanation:

The measure of inscribed angle x is half the measure of the arc it intercepts.

  x = 148°/2 = 74°

__

Likewise for y:

  y = 180°/2 = 90°

Answer:

1024

Step-by-step explanation:

1 x 4 = 4 x 4 = 16 x 4 = 64 x 4 = 256 x 4 = 1024

Feel free to mark it as brainliest :D

Answer:

1024

Step-by-step explanation:

you multiply by 4 to get the next number in the sequence.

64*4 = 256

256*4 = 1024

Answer: X=-4

Step-by-step explanation:

Should be B on Edge.

Answer: X = -4

Step-by-step explanation: