Natalie has two 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.
a. How many possible outcomes are there? _________________
b. How many times should Natalie toss a difference of 1? ______________
c. How many times should Natalie toss a difference of 0?

Answer:

I think it might be A, B, and E but I am not 100% sure.

Step-by-step explanation:

The figures are rectangular prism, cylinder, and square pyramid.

A three-dimensional solid object called a prism has two identical ends. It consists of equal cross-sections, flat faces, and identical bases. Without bases, the prism's faces are parallelograms or rectangles.

The volume of a prism is the product of its base area and height

Volume of Prism = B x h

where B = base area of prism

h = height of prism

Given data ,

The rectangular prism, cylinder, and square pyramid have rectangular cross sections when they are cut perpendicular to the base.

A rectangular prism has a rectangular cross section no matter where it is cut perpendicular to the base.

A cylinder has a circular base, but when it is cut perpendicular to the base, the cross section is a rectangle.

A square pyramid has a square base, and when it is cut perpendicular to the base, the cross section is also a rectangle.

A triangular prism has a triangular base, and when it is cut perpendicular to the base, the cross section is a triangle, not a rectangle.

A cone has a circular base, and when it is cut perpendicular to the base, the cross section is a circle, not a rectangle.

A triangular pyramid has a triangular base, and when it is cut perpendicular to the base, the cross section is a triangle, not a rectangle.

Hence , the three options that have rectangular cross sections when cut perpendicular to the base are: rectangular prism, cylinder, and square pyramid.

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y = v₀t - gt²/2

For y=0 (back to where we started),

0 = t(v₀ - gt/2)

t=0 (which we knew) or v₀ - gt/2 = 0

v₀ = gt/2

2v₀ = gt

t = 2v₀/g

t = 2 (35.7 m/s) / (9.8 m/s/s) = 7.3 seconds

Answer: 7.3 seconds

The number of degrees between 0 and -5 C

Step-by-step explanation:

Hi! It is not 1-5 is is the absolute value of -5. This would be 5 which is the number of degrees between 0 and -5.

Step-by-step explanation:

|-5| who’s absolute value is 5 is representing temp form 0 to -5

Temperature is the measure of hotness or coldness expressed in terms of any of several scales, including Fahrenheit and Celsius

The absolute value (or modulus) | x | of a real number x is the non-negative value of x without regard to its sign. For example, the absolute value of 5 is 5, and the absolute value of −5 is also 5.

According to question

At 7pm, the temperature outside was -5

And |-5| = 5 (which is absolute value)

And represent count of temp from 0 to -5 .

Hence, |-5| who’s absolute value is 5 is representing temp form 0 to -5

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Answer:

(x - 2)^2 + (y + 1)^2 =  26

Step-by-step explanation:

A circle with center O(2, -1) that passes through the point A(3, 4).

=> The radius of this circle is OA which could be calculated by:

OA = sqrt[(3 - 2)^2 + (4 - (-1))^2] = sqrt[1^2 + 5^2] = sqrt[26]

The equation of a circle with center O(a, b) and radius r could be written as:

(x - a)^2 + (y - b)^2 = r^2

=> The equation of circle O above with center O(2, -1) and radius = sqrt(26) is shown as:

    (x - 2)^2 + (y - (-1))^2 = (sqrt(26))^2

<=>(x - 2)^2 + (y + 1)^2 = 26

Hope this helps!

Answer:

(x-2)²+(y+1)²=26

Step-by-step explanation:

(x-2)²+(y+1)²=26

distance formula for radius

√(3-2)²+(4--1)² = √26

(x-h)²+(y-k)²=r²

Answer:

Step-by-step explanation:

height

Answer with a Step-by-step explanation: We are given the table as:

x    f(x)

0     6

2      7

4      0

7      5

i.e. corresponding to different values of x we are given the values of f(x)

we have to find the value of f(0)

i.e. we have to find the value of f(x) when x=0

As we can see from the table the value of f(x) at x=0 is 6

Hence, Correct option is:

C) 6

Answer:

C.

Step-by-step explanation:

6

Answer:

Perimeter = 28 yards

Area = 49 square yards.

Step-by-step explanation:

Distance formula:

[tex]d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]

Let as consider the vertices of the floor are A(-2,-3), B(-2,4), C(5,4) and D(5,-3).

Using distance formula, we get

[tex]AB=\sqrt{(-2-(-2))^2+(4-(-3))^2}=\sqrt{(-2+2)^2+(4+3)^2}=\sqrt{0+7}^2=7[/tex]

Similarly,

[tex]BC=\sqrt{(5-(-2))^2+(4-4)^2}=7[/tex]

[tex]CD=\sqrt{(5-5)^2+(4-(-3))^2}=7[/tex]

[tex]AD=\sqrt{(5-(-2))^2+(-3-(-3))^2}=7[/tex]

It is conclude that, [tex]AB=BC=CD=AD[/tex].

From the given points it is clear that all sides lie on either vertical or horizontal lines.

Since all sides are equal, and adjacent sides are perpendicular, therefore, the base is a square with edge 7 yards.

Perimeter of square floor is

[tex]P=4a=4(7)=28\text{ yards}[/tex]

Area of square floor is

[tex]A=a^2=7^2=49\text{ sq. yards}[/tex]

Therefore, the perimeter is 28 yards and the area is 49 square yards.

Answer:

4. 30m; the coefficient is 30.

Step-by-step explanation:

According to wiki, a coefficient is a multiplicative factor in some term of a polynomial, a series, or any expression; it is usually a number. For example, 4x +7 has a coefficient of 4 and a variable of 'x'. The product of 6 and 5 is thirty and the product of 30 and 'm' is 30m.

Answer:

3/4

Step-by-step explanation:

There are 8 outcomes and 6 of them are odd.

6/8 = 3/4

Thus probability is 3/4

Answer:

3/4

Step-by-step explanation:

No. of sections = 8

No. of odd numbers = 6

Probability of getting an odd no. = 6÷8 = 3/4

Answer:

C. 1.5 ft

Step-by-step explanation:

Using the Pythagorean theorem:

[tex]x=\sqrt{3.9^2-3.6^2}=\sqrt{15.21-12.96}=\sqrt{2.25}=1.5[/tex]

Hope this helps!

I agree with the answer above it's 1.5 ft which is C.

:D

Answer:

49.28.

Step-by-step explanation:

11% = 10% + 1%

So 11% of 448 = 44.8 + 4.48

= 49.28.

The best estimate of 11% of 448 is 49.28.

A percentage is a number or ratio that can be expressed as a fraction of 100. If we have to calculate percent of a number, divide the number by the whole and multiply by 100. Hence, the percentage means, a part per hundred.

11% of 448 = 11 / 100 × 448 = 0.11 × 448

= 49.28

Hence, the best estimate of 11% of 448 is 49.28.

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Answer:

first is square and second in not rectangle I think it is trapezium

Answer:

Yes

Step-by-step explanation:

Statement                                         Reason

ab = bd                                               Given

ac=cd                                                  Given

bc = cb                                                definiton of reflex line

triangle abc is congruent to triangle dbc      side side side postulate

Answer: It has been very long since I did geometry but, the triangles are definitely congruent.

Step-by-step explanation:

I do not know the congruency statement but I can tell you why. First of all, those red lines on the triangles indicate that two sides of both triangles are congruent to each other. Lastly, both of them share one line which means, all lines are congruent to each other.

∠ABC=∠DBC

I hope this helps :)

Answer:

in thirds so Dena gets 1/3 and Sue gets 2/3 which is half

Step-by-step explanation:

Answer:

A) g(x)= -(x-6)^2

Step-by-step explanation:

The graph is of a parabola, so there must be a ^2

If you plug the equation into the graphing calculator it will graph it for you.

Answer:

3 feet

Step-by-step explanation:

2x +3y=3

7x-3y=24

solve the above equations

2x+3y=3

+7x-3y=24

9x=27

x=27/9

x=3

substitute the value of x in 2x+3y=3

2(3)+3y=3

6+3y=3

3y=3-6

3y=-3

y=-3/3

y=-1

so the solution is

{x=3,y=-1}

Answer:

C : (3, -1)

Step-by-step explanation:

Answer:

C = 12.6 inches

Step-by-step explanation:

The circumference of a circle is given by

C = 2* pi*r

Using 3.14 for pi and 2 for r

C = 2 * 3.14 *2

C =12.56

To the nearest tenth

C = 12.6 inches

Answer:

[tex] = 12.56 \: in[/tex]

Step-by-step explanation:

[tex]c = 2\pi \: r \\ = 2 \times \pi \times 2 \\ = 4 \times \pi \\ = 12.56 \: \: in[/tex]

hope this helps you

Answer:

B: 24 cm

Step-by-step explanation:

The triangle is ((4*3)/2). The squares are 12 (3*4) and 6 (1.5*4)

Answer:

24 cm^2

Step-by-step explanation:

We can find the area of the figure, surface area is for three dimensional figures

The area of the triangle is

A = 1/2 bh

A = 1/2 (3) *4 = 6

The area of the top rectangle is

A = l*w = 3 * (8-4) = 3* 4 = 12

And the area of the bottom rectangle

A = l*w = 1.5 ( 8-4) = 1.5*4 =6

The total area is the sum of the individual areas

6+12+6 = 24

24 cm^2

Answer:

135.2857142857143

Step-by-step explanation:

its right?

Answer:

7 x 1 = 1

9-7=2

7 x 3 = 21

24-21=3

7 x 5 = 35

37-35=2

135 remainder 2

Step-by-step explanation:

Answer:

411

Step-by-step explanation:

Take the total amount earned and divide by the price per piece to determine the number of pieces made

291.81/ .71 =411

He made 411 pieces

Answer:

3<x<52

Step-by-step explanation:

0<2x-6<52

6<2x<52

3<x<52

Answer:

3 x 9

Step-by-step explanation:

3<x<9 . Just did this. Acellus is lame but better than normal school. Good luck with the rest im only on lesson 84

Step-by-step explanation:

work is shown and pictured

Answer:

independent: riding the scooter

dependent: miles ridden

function: y=6x

Step-by-step explanation:

Answer:

independent: riding the scooter

dependent: miles ridden

function: y=6x

Step-by-step explanation:

Answer:

-47.45$

Step-by-step explanation:

B=132.55-15x

B=132.55-15*12

B=132.55-180

B=-47.45

Answer:

D. -3

Step-by-step explanation:

The table is:

x  |  y

-5 | 23

-2 | 14

 1 | 5

To find the slope, you need two points (x1, y1) and (x2, y2) and the next formula:

slope = (y2 - y1)/(x2 - x1)

Using (-2, 14) and (1, 5) (other combinations are also possible) the slope is:

slope = (5 - 14)/(1 - (-2)) = -3

Answer:

D 45 is 9 times as many as 5

Step-by-step explanation:

Answer:

D

Step-by-step explanation:

45 is 9 times as many as 5 is the answer because when you turn the equation 45=5*9 into words, it has three numbers 9, 5 and 45. 45 is the product of 9 and 5 and 9 and 5 are the numbers that must be multiplied to give the product 45.

Answer:

142 degrees

Explanation:

First, you are going to estimate. You can quickly see that the angle is more than 90 degrees. The only option more than 90 degrees os 142 degrees.

Answer:

142

Step-by-step explanation:

Then plug it in