An experiment consists of three steps. There are four possible results on the first step, three possible results on the second step, and two possible results on the third step. The total number of experimental outcomes is

Answer:

100 in 10 theaters. 100÷10=10 44÷4=11

Answer:

Since there are 2 sides, a front & back, and a top & bottom, you must find the surface area of each of those 3 surfaces and multiply by 2.

Step-by-step explanation:

The formula would be:

Top & Bottom - 5 × 4 (multiply by 2 for top AND bottom)

Front & Back - 5 × 7 (multiply by 2 for front AND back)

Sides - 4 × 7 (multiply by 2 for BOTH sides)

___________________________________________________

Once you find the 3 surface areas, add the areas all together for the total. (I did not show the answer because that is for you to do on your own.)

Ex. Top & Bottom + Front & Back + Sides

Answer:

166 is the answer.

Answer:

You don't have your options listed but if one of them is Point L is the midpoint of the segment, that would be your answer.

Step-by-step explanation:

Answer:

4.54 x 1010

Hope this helps!

Answer:

A) 1.7 inches of lumber is left.

9514 1404 393

Answer:

 5

Step-by-step explanation:

Put the numbers where the letters are and do the arithmetic.

  5(3) -2(5) = 15 -10 = 5

Answer:

5

Step-by-step explanation:

5m - 2n

Where, we have given ; m = 3 & n = 5

plug the value in the equation

Answer:

The last one, (1/2)^2 < 2/3 < 0.75

Step-by-step explanation:

So lets try to put each number in the same form, and see what their values are.

Lets start with (1/2)^2

This is squaring the 1 and 2 in 1/2. 1^2 is 1. 2^2 is 4. So its now:

1/4

Lets look at the others:

2/3

Lets just give it a common denominator. To do this, lets find the lowest number that both 3(from 2/3) and 4(from 1/4) go into. This is also known as the LCM.

This will be 12.

Since 3(from 2/3) goes into 12 4 times, we multipy both numerator and denominator of 2/3 by 4:

4*2=8, 3*4=12:

8/12

Since 4(from 1/4) goes into 12 3 times, we multiply both the numerator and denominator by 3:

1*3=3, 4*3=12:

3/12

So lets just go over what we know so far:

(1/2)^2 = 3/12

2/3 = 8/12

Now lets find our last value:

0.75

When converted into fraction form, we will get:

3/4

We already have a LCM, which is 12, that goes into this.

The denominator goes into 12 3 times, so again, we multiply numerator and denominator in this:

3*3=9, 4*3=12:

9/12

So:

(1/2)^2 = 3/12, 2/3 = 8/12, and 0.75 = 9/12

3/12 is smaller than 8/12, and 8/12 is smaller than 9/12. This can be written as:

3/12 < 8/12 < 9/12

And this basically means that:

(1/2)^2 < 2/3 < 0.75

This is the last answer in your answer list.

Hope this helps!

Answer:

82/55

Step-by-step explanation:

11/12 * 12/121 - -6/5 * 70/60 = 1/11 + 14/10 = 1/11 + 7/5 = 5/55 + 77/55 = 82/55

The required solution of the given expression is 82/55.

Simplification involves applying rules of arithmetic and algebra to remove unnecessary terms, factors, or operations from an expression. The goal is to obtain an expression that is easier to work with, manipulate, or solve, For example, simplifying an algebraic expression might involve combining like terms, factoring, or using the distributive property

The given expression is,

= 11/12*12/121- -6/5*70/60

Simplify the above expression,
= 11/121+ 70/50

= 1/11 + 7/5

The common denominator between the two fractions is 55, so

= 5 + 77 / 55
= 82 / 55

Thus, the required solution of the given expression is 82/55.

Learn more about simplification here:

https://brainly.com/question/12501526

#SPJ2

Answer:

I'm not sure if you have the question quite right.  Whenever you multiply x and y by something, it is a dilation.  So 3 of those are dilations.  If you add or subtract something from x, it is a translation.

Hope that helps.

Step-by-step explanation:

Answer:

C the one with the 12

so the 3 turn into 1/3 now 1/3 times 1/4 = 1/12

now turn the 1/12 into the outside of the sign

Step-by-step explanation:

Answer:

The answer is "[tex]0.99999340657 \sim 1[/tex]".

Step-by-step explanation:

[tex]Sucess \ probability \ (p) = 94\% \ or\ 0.94\\\\Sample\ numbers\ n = 14\\[/tex]  

Using formula:

[tex]P(X=r)= ^n C_r \times p^r \times (1-p)^{n-r}[/tex]

 Let

[tex]\to r=8,9,10,11,12,13 \ or\ 14\\\\[/tex]

Substituting the value for all r:

 [tex]P(X=8)= 0.00008540547\\\\P(X=9)= 0.00089201264\\\\P(X=10)= 0.00698743233\\\\P(X=11)= 0.03980719025\\\\P(X=12)= 0.15591149513\\\\P(X=13)= 0.37578668058\\\\P(X=14)= 0.42052319017\\[/tex]

Therefore,

[tex]P(X>7)= P(X=8)+P(X=9)+....P(X=14)\\\\= 0.99999340657 \sim 1.[/tex]

Answer:

0.8665 = 86.65% probability that the sample proportion of Democrats will be greater than 52%.

Step-by-step explanation:

To solve this question, we need to understand the normal probability distribution and the central limit theorem.

Normal Probability Distribution:

Problems of normal distributions can be solved using the z-score formula.

In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the z-score of a measure X is given by:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the p-value, we get the probability that the value of the measure is greater than X.

Central Limit Theorem

The Central Limit Theorem establishes that, for a normally distributed random variable X, with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean [tex]\mu[/tex] and standard deviation [tex]s = \frac{\sigma}{\sqrt{n}}[/tex].

For a skewed variable, the Central Limit Theorem can also be applied, as long as n is at least 30.

For a proportion p in a sample of size n, the sampling distribution of the sample proportion will be approximately normal with mean [tex]\mu = p[/tex] and standard deviation [tex]s = \sqrt{\frac{p(1-p)}{n}}[/tex]

Suppose 54% of the registered voters in a country are Democrats. Sample of 770.

This means that:

[tex]p = 0.54, s = \sqrt{\frac{0.54*0.46}{770}} = 0.01796[/tex]

What is the probability that the sample proportion of Democrats will be greater than 52%?

This is 1 subtracted by the p-value of Z when X = 0.52. So

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

By the Central Limit Theorem

[tex]Z = \frac{X - \mu}{s}[/tex]

[tex]Z = \frac{0.52 - 0.54}{0.01796}[/tex]

[tex]Z = -1.11[/tex]

[tex]Z = -1.11[/tex] has a p-value of 0.1335

1 - 0.1335 = 0.8665

0.8665 = 86.65% probability that the sample proportion of Democrats will be greater than 52%.

Answer:

I think it's a square or maybe a rhombus?

Step-by-step explanation:

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

Explanation:

When you list out the perfect squares, notice that 49 and 64 are on that list.

These are values we focus on because 49 < 52 < 64

We'll apply the square root to all three sides

[tex]49 < 52 < 64\\\\\sqrt{49} < \sqrt{52} < \sqrt{64}\\\\7 < \sqrt{52} < 8\\\\[/tex]

This shows that [tex]\sqrt{52}[/tex] is between 7 and 8

A calculator helps confirm this

[tex]\sqrt{52} \approx 7.2111\\\\[/tex]

Answer and Step-by-step explanation:

8 + 4x -- Distributed the 4 to the 2 and x.

2(4 + 2x)  -- Taking out the 2 from the 8 and 4x, instead of the 4.

These are the answers.

#teamtrees #PAW (Plant And Water)

Answer:

[22 x 21] / 2=231 or "c"

Step-by-step explanation:

9514 1404 393

Answer:

  (30, 72, 78)

Step-by-step explanation:

When testing a number of triples to see if they are Pythagorean triples, it can be convenient to let a spreadsheet do the math. The attachment shows us the triple at lower left (30, 72, 78) is a Pythagorean triple. That is, the sum of the squares of the smaller two numbers is the square of the larger, so they can form a right triangle.

__

You may recognize these numbers have the ratios 5:12:13, the ratios of an often-used triple.

Answer:

if 25c + 15d = 0, then d = -25/15c

Step-by-step explan

just yes, that

Answer:

5.9 years.

Step-by-step explanation:

Central Limit Theorem

The Central Limit Theorem establishes that, for a normally distributed random variable X, with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean [tex]\mu[/tex] and standard deviation [tex]s = \frac{\sigma}{\sqrt{n}}[/tex].

For a skewed variable, the Central Limit Theorem can also be applied, as long as n is at least 30.

For a proportion p in a sample of size n, the sampling distribution of the sample proportion will be approximately normal with mean [tex]\mu = p[/tex] and standard deviation [tex]s = \sqrt{\frac{p(1-p)}{n}}[/tex]

In this question:

Mean of the population is [tex]\mu = 5.9[/tex]

If a sampling distribution is created using samples of the ages at which 69 children begin reading, what would be the mean of the sampling distribution of sample means?

By the Central Limit Theorem, the same population mean, of 5.9 years.

Answer:

[tex]A(2,4)<-3,-2)A'(-1,2)>A''(-4,8)[/tex]

[tex]B)(5,2)-> B'(2,0)->B''(8,0)[/tex]

[tex]C(3,1)->C'(0,-1)->C''(0,-4)[/tex]

[tex](x,y)->(x-3,y-2)->([(x-3)*4],[(y-2)*4])[/tex]

Answer:

85º and 95º

Step-by-step explanation:

supplementary angle total 180

(8x – 3) + (7x + 18)  = 180

Combine like terms

15x + 15 = 180

15x = 165

x = 11

---------------------

8x – 3

8(11) - 3

88 - 3

85º

7x + 18

7(11) + 18

77 + 18

95º

Answer:

What is the value of x?

Whenever we have a problem to solve we assume the unknown quantity(or value to be identified) as x. This is just a convention followed in algebra by using a variable to denote the unknown quantity and then arrive at the solution.

What is the value of X?

What's the value of X?

X + X = X, what is the value of X?

What is the value of x ? How can I find it?

Do you know the value of x?

Value of X can be any numerical value or anything but depends solely on your question .But I find no question ok lets take an example .

If an equation is given ,

X+2=4

=> X=4–2

=>X=2

We X's value as 2 .

Now another ,

X + Y = 5 , 2X + 5Y = 10

Now taking first equation

X = 5-Y ………………………..(1)

Now taking second equation

X= 10–5Y/2…………………(2)

Now,

2(5-Y) = 10–5Y

=> 10–2Y = 10–5Y

=> 2Y = 5Y

Y has no value here because this equation not correctly represented .

Hence ,

We conclude the value of X varies with equation .

Thank You ,

Answer:

28.61258...

Step-by-step explanation:

Don't really know how to explain this over a computer, but it is correct.

Hope that this helps!

Answer:

[tex] \cos(A + B) = \cos A \cos B - \sin A \sin \: B \\ but : \cos \: A = \sqrt{1 - ({ \frac{3}{5} })^{2} } = \frac{4}{5} \\ : \sin B = \sqrt{1 - {( \frac{ - 12}{13} })^{2} } = \frac{5}{13} \\ \therefore \cos(A + B) = ( \frac{4}{5} )( \frac{ - 21}{13} ) - ( \frac{3}{5} )( \frac{5}{13} ) \\ = \frac{ - 84}{65} - \frac{3}{13} \\ = \frac{ - 99}{65} \\ = - 1.52[/tex]

Answer:

C) 1/16

Step-by-step explanation:

2*2*2*2=16

Therefore, 2^(-4)=1/16.

Answer:

C) [tex]\frac{1}{16}[/tex]

Step-by-step explanation:

2⁻⁴

2⁴ = 2 × 2 × 2 × 2 = 16

[tex]\frac{1}{16}[/tex]

5.7

Step-by-step explanation:

Lean- 6x

Hayden- x

x+ 6x=40 Equation

7x=40 Added the x and 6x

x= 5.7 Divided from each side