A discrete random variable is a variable that is randomly chosen and can take
on an infinite number of values over a specific range.

a. true
o
b. false

Answer: B) 16 cubic meters

Step-by-step explanation:

To find the volume of a rectangular prism like this sandbox, multiply the length, height, and width together. 2*2*4 = 16.

Answer:

the answer would be 16 cubic meter because l*w*t which is because l*w*t which is 4*2*2

Answer:

This might not be the best answer but here goes:

A perfect square has to be a number that is expressed by 2 of the same integer multiplied by each other.

To check if a number is a perfect square, you find the square root of it. 64006 does not have a whole square root, meaning it is not a perfect square number. Its square root is:

252.9940711... (very close but not quite whole)

1. A perfect square number always has its square root to be a whole number. But, the square root of 64006 is is 252.99407... (not whole), so it is not a perfect square.

2. A perfect square number can only be written as the product of 2 odd numbers or 2 even numbers. But, 64006 can be written as 32003 x 2 -> NOT a perfect square.

Answer:

The age group that recorded the highest number of children is 7.

Step-by-step explanation:

We can clearly can see from the graph, that the 7 year old age group has 5 children, which is more than the rest of the age groups.

Hope this helps:) Goodluck!

Answer:

125.1 cm^2  to 1 D.P.

Step-by-step explanation:

We could use Heron's formula to do this

Area = √(s(s-a)(s-b)(s-c) )  where s is the  semi-perimeter and a b and c are the lengths of the 3 sides

So we have:

s = (17+17+17) / 2 = 25.5

and Area = √(25.5)(25.5 - 17)^3)

= √15660.1875

= 125.14 cm^2

Answer:

B.3x+8=66

Step-by-step explanation:

i think ito po Ang answer hehehe

Part A

x = some unknown number

x+8 = add on 8 to the number

3(x+8) = triple the previous result

Therefore, one equation to set up is 3(x+8) = 66

This is the same as 3x+24 = 66 because 3(x+8) = 3x+3*8 = 3x+24. Use the distributive property to multiply that outer 3 to each term inside.

C)  3x+24 = 66

D)   3(x+8) = 66

============================================================

Part B

Let's solve for x. I'll show the steps for each equation mentioned. When you write out the steps, you probably only need to pick one equation to solve.

3(x+8) = 66

x+8 = 66/3

x+8 = 22

x = 22-8

x = 14

Or

3x+24 = 66

3x = 66-24

3x = 42

x = 42/3

x = 14

Either way, we get the same x value. To confirm this answer, replace x with 14 in either equation and simplify fully. You should get 66 on both sides.

Answer:

Step-by-step explanation:

30 square unit is the area of the triangle DEF.

The properties of the triangle are:

We can use the coordinates of the three vertices of the triangle to find the length of its base and height, and then use the formula for the area of a triangle.

The base of the triangle is the line segment from point E to point F, which has a length:

|EF| = √[(4-4)^2 + (7-(-5))^2] = √(0^2 + 12^2) = 12

The height of the triangle is the perpendicular distance from point D to the line containing the base, which is the horizontal line y = -5.

Therefore, the height of the triangle is the vertical distance from point D to the line y = -5, which is 5 units.

The area of the triangle is then:

Area = (1/2) x (base) x (height)

= (1/2) x 12 x 5

= 30 square units.

Therefore, the area of triangle DEF is 30 square units.

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Answer:

15037

Step-by-step explanation:

37 are in the covered, while 15000 were in the open area. So, to find the total, all we have to do is add these two figures together:

15000 + 37 = 15037

Hope this helps. Feel free to ask any more questions and I will try my best to help you.

- profparis

Answer:

15,037 spectators

Step-by-step explanation:

Total number of spectators :

⇒ Spectators in covered area + Spectators in the open

⇒ 15000 + 37

⇒ 15,037 spectators

We will see that there are 156,000 different combinations, so the correct option is C.

First, we need to find the selections, here we have:

Now we need to find the number of options for each of these selections.

We assumed that the number can be any integer from 0 to 9.

The total number of possibilities is equal to the product between the numbers of options, we will have:

P = 26*25*24*10 = 156,000

So, the correct option is C.

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Answer:

198

Step-by-step explanation:

45% of 440

= [tex]\frac{45}{100}[/tex] × 440

= 0.45 × 440

= 198

Answer:

3.2

Step-by-step explanation:

Formula to find the simple interest rate :

S.I. = [tex]\frac{PRT}{100}[/tex]

Formula to find R (simple interest rate) :

R = [tex]\frac{100*S.I.}{P*T}[/tex]

Since you have I (interest amount), we can use this formula instead :

R = [tex]\frac{I}{PT}[/tex]

R = [tex]\frac{320}{4,000*2}[/tex] = 4%/year or 0.04

Now plug this into the first formula

S.I. = [tex]\frac{4,000*0.04*2}{100}[/tex] = 3.2

i haven't done this in a while so hope this helps !!

Answer:

27

Step-by-step explanation:

what I did is used a calculator and did 108 x 0.25 (25% as a decimal)

Answer:

There are several different ways to get the x-intercept and y-intercept of an equation.  The way that I usually do it is setting one of the variables to zero and finding what the other variable is equal to.  For example, if we set x to 0 that means that we are finding the y-intercept as the value of x is 0 which is the y-axis.  This is also how it works when setting y to 0.  First lets find the x intercept by setting y to 0.

[tex]3x - 2y = 6[/tex]

[tex]3x - 2(0) = 6[/tex]

[tex]\frac{3x}{3} = \frac{6}{3}[/tex]

[tex]x = 2[/tex]

We now know that the x-intercept is 2 and now we need to determine what the y-intercept is.  Now we can just set the x to 0 and find the y-intercept.

[tex]3x - 2y = 6[/tex]

[tex]3(0) - 2y = 6[/tex]

[tex]\frac{-2y}{-2} = \frac{6}{-2}[/tex]

[tex]y =- 3[/tex]

Therefore, we know that our x-intercept is (2, 0) and our y-intercept is (0, -3) because the first spot in the coordinate pair is the x-value and the second one is the y-value.

Hope this helps

Answer:

Increasing then decresing

Step-by-step explanation:

the graph is going up then down so therefore it is increasing then decresing.

Answer:

The left side of the parabola is increasing to the maximum, shown on the graph to be (3,6). Then, the right side is decreasing from the max point. The parabola opens down, which means it increases, then decreases.

Step-by-step explanation:

Always decreasing would mean it took a more linear shape, which this parabola is not doing. It is also not always increasing, because some x,y points are graphed on that curve which go from the center (0,0) to (3,6) back down to (6,0).

Answer:

use ali result to estimate the probability of him winning the next solitaire game

It should be noted that in the equation y = -3x² + x + 12, there are two real solutions.

It should be noted that the number of real solutions of a quadratic equation is represented by y = ax² + bx - c.

In the equation, equation y = -3x² + x + 12, the coefficients are a = -3, b = 1 and c = 12. The discriminant will be:

= 1² - 4(-4)(12)

= 145

It is positive, therefore, it has two solutions.

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Answer:

D.

Step-by-step explanation:

sin 67 = b / 2.4

b = 2.4 sin 67

= 2.2

cos 67 = a / 2.4

a = 2.4 cos 67

= 0.9

M < A = 90-67 = 23 degrees.

To solve a simple probability maze calculate the probability in each situation and move through the maze based on these answers.

This refers to the chances an event happens out of the total outcomes or number of favorable events/ total events.

In this type of maze, you are requested to find the probability of different events and based on this, you can follow a specific pattern to get out of the maze. Due to this, to solve the maze:

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Answer: Y= 1/3x - 2

Step-by-step explanation:

Answer:

40/36 simplified is 10/9

Step-by-step explanation:

40 ÷ 4

36 ÷ 4

Reduced fraction:

10/9

Therefore, 40/36 simplified to lowest terms is 10/9.

Answer:

10/9

Step-by-step explanation:

i hope this helps you good luck on your quiz or lesson! :)

also thanks for the points and not to boher you but can i please have brainlliest thanks

Any other question tell me in the comments!

Answer:

See below ~

Step-by-step explanation:

Subpart (a) :

⇒ Surface area = 2(3 × 4 + 4 × 5 + 3 × 5)

⇒ Surface area = 2(12 + 20 + 15)

⇒ Surface area = 2(47)

⇒ Surface area = 94 in²

===============================================================

Subpart (b) :

⇒ Volume = 3 × 4 × 5

⇒ Volume = 12 × 5

⇒ Volume = 60 in³

=============================================================

Subpart (c) :

⇒ New surface area = 2 x 94

⇒ New surface area = 188 in²

=============================================================

Subpart (d) :

⇒ New : Original

⇒ 188 : 94

⇒ 2 : 1

Answer:

T': (9,8)

U': (0,8)

V': (8,4)

Step-by-step explanation:

Assuming that all the grapes have the same probability of being randomly picked:

We know that there are 8 green grapes and 15 red grapes on the bowl, so there is a total of 23 grapes.

a) Here we need to find the probability that both grapes are green. Remember that the probability of getting a green grape is equal to the quotient between the number of green grapes and the total number of grapes, this is:

P = 8/23

But then he must take another, because he already took one, the number of green grapes is 7, and the total number of grapes is 22, so for the second grape the probability is:

P' = 7/22.

The joint probability is the product of the two individual probabilities:

prob = (8/23)*(7/22) = 0.11

b) For the first green grape we know that the probability is:

P = 8/23

Then he must get a red grape. There are 15 red grapes and 22 grapes in total, so the probability is:

P' = 15/22

Then the joint probability is:

prob = (8/23)*(15/22) = 0.24

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The provided log can be written as sum of (1/5)log₃(x) + log₃(y) after using the log property.

It is another way to represent the power of numbers, and we say that 'b' is the logarithm of 'c' with base 'a' if and only if 'a' to the power 'b' equals 'c'.

[tex]\rm a^b = c\\log_ac =b[/tex]

We have:

[tex]= \rm log_3(\sqrt[5]{x} . y)[/tex]

As we know:

log(mn) = logm + logn

logmⁿ = nlogm

[tex]= \rm log_3({x^{\dfrac{1}{5}}} . y)\\\\= \rm log_3({x^{\dfrac{1}{5}}} )+log_3 (y)\\\\= \rm \dfrac{1}{5}log_3({x^{}} )+log_3 (y)\\\\[/tex]

Thus, the provided log can be written as sum of (1/5)log₃(x) + log₃(y) after using the log property.

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Apply Pythagorean theorem

The periods of the functions such sine, cosine, secant and cosecant is 2π; while for tangent and cotangent, the period is π.

A function is an expression that show the relationship between two or more numbers and variables.

Periodic functions are functions that repeat themselves over regular intervals. That is they have periods.

The periods of the functions such sine, cosine, secant and cosecant is 2π; while for tangent and cotangent, the period is π.

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Answer: D

Step-by-step explanation:

A function is an expression that show the relationship between two or more numbers and variables.

Periodic functions are functions that repeat themselves over regular intervals. That is they have periods.

The periods of the functions such sine, cosine, secant and cosecant is 2π; while for tangent and cotangent, the period is π.

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Answer:

i believe the answer is 41312432