Alice is building a caterpillar habitat for some caterpillars she found in her back yard. She plans to cover all sides of the habitat with screen so the caterpillars get plenty of fresh air. What is the total amount of screen that Alice will need for her habitat? Give an exact answer (do not round).

Answer:

1/4

Step-by-step explanation:

there are 12 options, and only three are correct.  3/12 simplifies to 1/4

Answer:

1/4

Step-by-step explanation:

There are 12 possible outcomes

The ones that have a head and an even number are H2  H4   H6

P( head and even number) = head and even number/ total outcomes

                                             = 3/ 12

                                              =1/4

Answer:

2560

Step-by-step explanation:

Answer:

2,560

Step-by-step explanation:

To find the total, we need to use the number of options for all 4 of the categories. Once we have those number, we just need to multiply them to find the total number of possibilities. This is called the Fundamental Counting Principle.

8 x 8 x 8 x 5 = 2560

Hope this helps!! ;)

[tex]\mathfrak{\huge{\pink{\underline{\underline{AnSwEr:-}}}}}[/tex]

Actually Welcome to the Concept of the Probability.

Basically we have to know that, when there is a specific event for which a probability has to be done, there are always two possibilities that is,

Event favourable and Not Favourable.

the Sum of both always end up as 1.

thus sum of the probability distribution is 1.

The sum of the probabilities in a uniform probability distribution is 1.

Hence, option C is the right choice.

A uniform distribution is a probability distribution in which all events have the same probability.

Because the chances of drawing a heart, a club, a diamond, or a spade are equal, a deck of cards has uniform distributions.

The general formula for the probability density function (pdf) for the uniform distribution is: f(x) = 1/ (b - a) for a ≤ x  ≤ b.

To find the sum of all the probabilities in a uniform probability distribution, we do the integral over f(x).

[tex]\therefore SUM = \int_{a}^{b}f(x)dx\\or, SUM = \int_{a}^{b}\frac{1}{b-a}dx\\or, SUM = \frac{1}{b-a}\int_{a}^{b}dx\\or, SUM = \frac{1}{b-a}[x]_{a}^{b}\\or, SUM = \frac{1}{b-a}(b-a)\\or, SUM = 1[/tex]

The sum can also be found using the graph attached, calculating the area of the red rectangle.

∴ The sum of the probabilities in a uniform probability distribution is 1.

Hence, option C is the right choice.

Learn more about uniform probability distribution at

https://brainly.com/question/20411994

#SPJ2

Answer:

Step-by-step explanation:

There are 360 different orders or permutations in which 4 pens can be chosen from the box of 6 different colored pens.

To find the number of permutations of picking 4 pens from a box of 6 different colored pens, we can use the formula for permutations. The formula for permutations is given by:

P(n, r) = n! / (n - r)!

Where n is the total number of items and r is the number of items to be chosen.

In this case, we have 6 different colored pens in the box and we want to choose 4 pens. Plugging these values into the formula, we get:

P(6, 4) = 6! / (6 - 4)!

= 6! / 2!

= (6 × 5 × 4 × 3 × 2 × 1) / (2 × 1)

= 720 / 2

= 360

Therefore, there are 360 different orders or permutations in which 4 pens can be chosen from the box of 6 different colored pens.

Learn more about permutations here: brainly.com/question/3867157

#SPJ2

Answer:

D. 57

Step-by-step explanation:

Q2=42

Q3=57

Answer:what!?

Step-by-step explanation:

Answer:

c but no step by step sorry

Answer: B and D

Step-by-step explanation:

Answer:

Answer:

[tex]g(x) = (x-6)(2x-1)[/tex]

Step-by-step explanation:

[tex]g(x)[/tex] intercepts the x-axis at these 2 points:

[tex](6,0) ;(1/2,0)[/tex]

⇒ 6 and 1/2 are roots ie; if you insert [tex]x=6[/tex] or [tex]x=1/2[/tex] into the equation of g(x) you will obtain a 0.

[tex]g(6) = g(1/2) = 0[/tex]

now in order for 0 to appear we should have [tex]x-6[/tex]

now in order for 0 to appear we should have [tex]x-1/2[/tex]

but  [tex]x-1/2[/tex] doesn't appear in any of these, but its multiple of 2 is there:

[tex]2(x-1/2) = 2x-1[/tex]

Therefore the function;

[tex]g(x) = (x-6)(2x-1)[/tex]

Answer:

b

Step-by-step explanation:

Answer:

A - 8.1

Step-by-step explanation:

This is an example of similar shapes.

The length of MO is 18, and PO is 5.

So length of MP is 13. (18 - 5)

We need to separate this large triangle into 2 triangles:

In problems including similar shapes, our unknown needs to be on top of the fraction in an equation.

NP (h) /

[tex]{\frac{NP}{MP}[/tex]  = [tex]\frac{PO}{NP}[/tex]    

[tex]\frac{h}{13}[/tex] = [tex]\frac{5}{h}[/tex]

Cross multiply

h² = 65

h = √65

h = 8.06

h = 8.1 (rounded)

Drawn out explanation below.

Hope this has answered your question.

Answer:

1. 600 tiles

2. $120

3. 50.3cm2

Step-by-step explanation:

1. 520 x 140/ 13 x 7

600 tiles

2. Since length is 3 x width, length is 360.

20=5

360= 360/20= 18= 18 x 5= 90

20=5

120= 120/20= 6= 6 x 5= 30

90 + 30= 120= $120

3. 22/7 x 5 x 5= 78.5

   22/7 x 3 x 3= 28.2

   78.5-28.2= 50.3= 50.3cm2

Answer:

B. 6p/7

Step-by-step explanation:

6p = the total amount of pickles

The problem says that he distributes them evenly to 7 restaurants, so that's dividing.

So your answer is 6p/7

Answer: b 6p/7

Step-by-step explanation: 6p = the total amount of pickles. The problem says that he distributes them evenly to 7 restaurants, so that's dividing. So your answer is 6p/7.

━━━━━━━☆☆━━━━━━━

▹ Answer

2√15

▹ Step-by-Step Explanation

[tex]\sqrt{4} * \sqrt{3} * \sqrt{5}\\\\\\2\sqrt{3} \sqrt{5} \\\\2\sqrt{15}[/tex]

Hope this helps!

CloutAnswers ❁

Brainliest is greatly appreciated!

━━━━━━━☆☆━━━━━━━

Answer:

[tex]\mathrm{A.}[/tex] 2√15

Step-by-step explanation:

√4 × √3 × √5

Apply rule √a·√b·√c= √(abc)

√(4 × 3 × 5)

√60

The factors of 60 are 1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, 60.

The highest perfect square is 4.

One of the pair factors of 60 is 4 and 15.

60 can be written as a product of 4 and 15.

√(4 × 15)

√4 × √15

√4 = 2

2 × √15

Answer:

$112.50

Step-by-step explanation:

So first you will need to understand I=PRT, [tex]I[/tex] stands for the interest on the original investment, P stands for the amount of the original investment, R stands for the interest rate which is supposed to be in decimal form, and T is the time or the number of years you leave the money.

    So the equation if you plug in everything would be I= 1,250 times 0.03 times 3. So if you multiply all of the numbers together you would get $112.50. And that is the correct answer

Answer:

v=lwh

Step-by-step explanation:

which is length×width×height.

Answer:

angle 8 is the same as angle 1.

Step-by-step explanation:

opposite side exterior angles are congruent

Answer:

2=45, 3=45, 4=135, 5=135, 6=45, 7=135, 8=135

Step-by-step explanation:

Assuming that these lines are parallel, alternate interior angles are supplementary and alternate exterior angles are also supplementary. So, we know that 1=135 so that means we can do 180-135=45 so 2=45. 1 and 4 are equal to each other because of the vertical angle theorem. So every angle is either 45 degrees or 135 degrees. So:

2=3=6=7

1=4=5=8

You can use the theorems to figure out which angles are congruent and which angles are supplementary in a transversal.

I hope this makes sense

Answer:

30

Step-by-step explanation:

So to do this you would set up the equation [tex]3x-6=84[/tex] than you would add 6 to both sides so you would get [tex]3x=90[/tex] than you would divide 3 from both sides so [tex]x=30[/tex] and that is the final answer which is correct

Answer:

Answer b is correct!

Inequality Form: x <1 /2 or x > 1

Interval Notation: (-infinity, 1/2) U (1, infinity)

Step-by-step explanation:

Isolate the variable by dividing each side by factors that don't contain the variable.

Hope this helps :)

Answer:

Step-by-step explanation:

There is a 1/20 chance of getting a 1.

This is a 5% chance.

I would say it's highly unlikely.

If this helped, please mark brainliest :D

Answer:

highly unlikely

Step-by-step explanation:

It's certainly not impossible because there is a 1 on the board. However, the probability of landing on the 1 is 1/20 and since that number is really small, it is highly unlikely.

Answer:

-243

Step-by-step explanation:

To solve this problem you will need to know the difference between an arithmetic and a geometric.

    An arithmetic is a sequence where a person is adding the same number over and over again so lets say you start with 1 and the common difference (the number being added each time) is 2, the sequence will look something like this 1, 3, 5, 7, 9 and so on.

    A geometric sequence is when the same number is being multiplied over and over again. So lets say that the number we start with is 2 and you are multiplying by three every single time, so you would get a sequence looking like this 2, 6, 18, 54 and so on.

    We can see in the sequence that the number that is being multiplied over and over again is -3 so the answer is a geometric sequence.

    Now that we know that it is a geometric sequence we will multiply the last number which is 81 by -3 which will get us -243

Answer:

To solve this problem you will need to know the difference between an arithmetic and a geometric.

   An arithmetic is a sequence where a person is adding the same number over and over again so lets say you start with 1 and the common difference (the number being added each time) is 2, the sequence will look something like this 1, 3, 5, 7, 9 and so on.

   A geometric sequence is when the same number is being multiplied over and over again. So lets say that the number we start with is 2 and you are multiplying by three every single time, so you would get a sequence looking like this 2, 6, 18, 54 and so on.

   We can see in the sequence that the number that is being multiplied over and over again is -3 so the answer is a geometric sequence.

   Now that we know that it is a geometric sequence we will multiply the last number which is 81 by -3 which will get us -243

Step-by-step explanation:

Answer: either 5, 5, 14

First, we know the median is 5.  Thus, the middle value of the data is 5, so the set can now be read x, 5, y.  Then, because the mode is 5 and the set is not trimodal, either x or y must be 5.  Thus, the set could either be 5, 5, 14, or

-4, 5, 5.  However, because it must contain only positive number, the answer is 5, 5, 14

Hope it helps <3

The three positive numbers will be 5, 5 and 14.

In this case, we've been given 2 of the numbers to be 5.

Then, the last number will be:

x - 5 = 9

x = 9 + 5

x = 14

Therefore, the three positive numbers are 5, 5 and 14.

Read related link on:

https://brainly.com/question/24429956

Answer:

B:-1

Step-by-step explanation:

-3-(-2)=-3+2=-1

Answer:

Step-by-step explanation:

[tex] - 3 - ( - 2)[/tex]

When there is a (-) in front of an expression in parentheses, change the sign of each term in the expression

[tex] - 3 + 2[/tex]

Here, 3 > 2 , So, we have to enter the sign of 3 which is negative.

Calculate:

[tex] - 1[/tex]

Some rules:

[tex]( + ) \times ( + ) = ( + )[/tex]

[tex]( + ) \times ( - ) = ( - )[/tex]

[tex]( - ) \times ( - ) = ( + )[/tex]

[tex]( - ) \times ( + ) = ( - )[/tex]

Hope this helps..

Answer:

m<E = 45

Step-by-step explanation:

We are given a right angled triangle DEF, with 2 sides of equal length 11 units. We are required to find <E.

To know which trigonometric ratio formula to apply, note the following:

Opposite side = adjacent side = 11 units.

Therefore, we use the following to find <E:

[tex] tan E = \frac{opposite}{adjacent} = \frac{11}{11} [/tex]

[tex] tan E = 1 [/tex]

[tex]E = tan^{-1}(1)[/tex]

[tex] E = 45 [/tex]

Answer:

I think the answer is C but I'm not 100% sure

Answer:

C.

Step-by-step explanation:

Follow this Phrase, Soh-Cah-Toa.

To find q we will be using Sin.

Sin uses the opposite leg and hypotenuse

the problem will be set up like this:

Sin(55)=r/q

Answer:

9 tomato and 23 radish

Step-by-step explanation:

r - number of radish seeds

t - number of tomato seeds

$1.75r + $2.50t = $62.75

1.75 (23) + 2.50 (9) = 62.75

40.25 + 22.5 = 62.75

$62.75 = $62.75

The answer checks out. Therefore, Roman bought 9 packets of tomato seeds and 23 packets of radish seeds.

Hope that helps.

Answer:

9 tomato and 23 radish

Step-by-step explanation:

Answer:

see below

Step-by-step explanation:

Part A

Since the lines goes through the point (0,0) the graph is proportional. We can find the rate of change by take the price of corn and dividing by the number of bushels

24/3 = 8 dollars/ bushel

Part B

Previous Year Number of Bushels Price of Corn (dollars)

                                                  3 21

                                                 6 42

                                                  9 63

                                                 12 84

We can find the rate of change for the previous year by using the slope formula

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

m = (84-63)/(12-9)

    =21 / 3  

    = 7

The previous year was 7 dollars per bushel

The increase was 8-7 = 1 dollar per bushel

Answer:

Part A: 8 dollars/brushel

Part B: 1 dollar/brushel

Step-by-step explanation:

Without reading the question you can already conclude that this is a linear equation. Also, we can easily get the linear function:

[tex]f(x)=8x[/tex]

Part A: Describe in words how you can find the rate of change of a bushel of corn in the current year, and find the value.

We know that a linear function has a constant rate of change, and that is called SLOPE.

In order to calculate the slope of the linear function:

[tex]$m=\frac{\Delta y}{\Delta x} = \frac{y_{2}- y_{1}}{x_{2}-x_{1}}= \frac{48-24}{6-3}= \frac{24}{3} = 8$[/tex]

Therefore, the rate of change of a bushel of corn in the current year is 8

Part B: How many dollars more is the price of a bushel of corn in the current year than the price of a bushel of corn in the previous year? Show your work.

Previous Year Number of Bushels Price of Corn (dollars)

Ordered pairs:

[tex](3, 21); (6, 42); (9, 63); (12, 84)[/tex]

Let's calculate the slope again.

[tex]$m=\frac{\Delta y}{\Delta x} = \frac{y_{2}- y_{1}}{x_{2}-x_{1}}= \frac{42-21}{6-3}= \frac{21}{3} = 7$[/tex]

The difference is  1 dollar/brushel.

Answer:

angle CBD=125

Step-by-step explanation:

(8x-41)+(9x+17)=180

17x -24 = 180

17x=204

x=12

9(12)+17=125

Answer:

125

Step-by-step explanation:

The two angles from a straight line so they add to 180

ABC + CBD = 180

8x -41+ 9x+17 = 180

Combine like terms

17x -24 = 180

Add 24 to each side

17x -24+24 = 180 +24

17x = 204

Divide by 17

17x/17 = 204/17

x =12

We want angle CBD

CBD = 9x+17

        = 9*12+17

       =108+17

        = 125

Answer:

24 kg

Step-by-step explanation:

40/5 = 8 and 3x8 = 24

Answer:

24 kg

Step-by-step explanation:

[tex]\frac{5}{40} =\frac{3}{w} \\5w=120\\w=\frac{120}{5}=24[/tex]