May I please get help with answering this. I need to select all that must be true

Answer:

I think it is 0.08

Step-by-step explanation:

Answer:

Period=pi amplitud=1

Step-by-step explanation:

The expected length of the piece that we are left with after breaking twice is L/4 and the variance Var(X) is 7L^2/144.

In the given question, consider a stick of length 1.

We break it at a point which is chosen randomly and uniformly over its length and keep the piece that contains the left end of the stick.

We then repeat the same process on the piece that we were left with.

We have to find expected length of the piece that we are left with after breaking twice.

In the same setting as Q7, suppose the length of the piece that we are left with after breaking twice is Y.

We also have to calculate the variance Var(Y).

Following Laws are used in the solution

Law of Iterated Expectations: E[X] = E[ E[X|Y] ]

& Law of total variance: Var(X) = E[Var(X|Y)]+Var(E[X|Y])

Now, Y = Length of the stick after we break it the first time

and X = length of the stick after we break it the second time

As both the distribution is uniformly distributed.

Now, E[Y] = L/2 and Var(Y)= l^2/12

E(x|y)[X|Y=y] = y/2 and Var(x|y)[X|Y=y] = y^2/12

As the expectation of uniform distribution over {a,b} is (b-a)/2 and variance is (b-a)^2/12

Using Law of Iterated Expectations

E[X] = E[ E[X|Y] ]

E[X] = E[ y/2 ]

E[X] = \int_{L}^{0}

E[X] = L/4

Now using Law of Total Variance

Var(X) = E[Var(X|Y)]+Var( E[X|Y] )

Var(X) = E[y^2/12]+Var(y/2)

Var(X) = (1/12)*E[Y^2]+(1/4)*Var(Y)

Var(X) = (1*12)*(Var[Y] + (E[Y])^2) + (1/4)*Var(Y)

Var(X) = (1/12)*(L^2/12+L^2/4) + (1/4)*(L^2/12)

Var(X) = 7L^2/144

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Answer:

6

Step-by-step explanation:

The two triangles are similar which means the the two length is parallel

.°., the Length of the smaller triangle=6

The profit is the amount left from you net income after your fixed expenses have been paid.

The amount earned by an individual or corporation after costs, allowances, and taxes is referred to as net income. Net income in company is what remains after all costs, such as salaries and wages, the cost of goods or raw materials, and taxes, have been paid.

Profit is a financial gain, specifically the sum obtained over that which was used to acquire, maintain, or produce the good or service.

Profit is the term used to describe the financial gain experienced when the revenue from a commercial activity exceeds the costs, costs, and taxes associated with maintaining that activity.

Hence the profit is the amount left from you net income after your fixed expenses have been paid.

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Step-by-step explanation:

the area of a parallelogram is

baseline × height = 5 × 3.2 = 16 m²

The store owner null hypothesis is μ ≤ $2,700.

Null hypothesis in one of statistic type for hypothesis. This mean the hypothesis for the opposite from the actual hypothesis such as is not statistically significance evidence for the relationship from two variable.

Null hypothesis can be written as "no difference", "no significance relationship", or anything that implies there is no relationship. Mathematically it can be written with "=", "≤", "≥"

In question, the alternative hypothesis is ads have positive relationship with daily average sales. So, the null hypothesis is the opposite which is ads doesn't have relationship or have negative relationship with daily average sales. Mathematically can be written as "≤".

Next since the alternative hypothesis use $2,700 to calculate the increased daily average sales. Then, the null hypothesis will use $2,700 too.

Thus, the null hypothesis is ≤ $2,700.

You question is incomplete, but most probably your full question was

(image attached)

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Answer:

3

Step-by-step explanation:

parallel lines have the same gradient

Answer:

Sean sorts at a faster rate.

Step-by-step explanation:

Kent sorts 480 envelopes in 1 hour

1 hour equals 60 minutes

480/60=8

Kent=8x envelopes

Sean=11x envelopes

Rollaway Skates is cheaper when the number of people is less than or equal to 4. For example, the cost for 2 people at Rollaway Skates is $10, while the cost for 2 people at Wheelie's Skates and Stuff is $106.

Wheelie's Skates and Stuff is cheaper when the number of people is greater than or equal to 5. For example, the cost for 6 people at Rollaway Skates is $30, while the cost for 6 people at Wheelie's Skates and Stuff is $118.

I hope this helps! Do you have any other questions?

Answer: yes a number is less than 13

Step-by-step explanation:

Answer:

A.  4

Step-by-step explanation:

Given inequality:

\(x+9 < 4x\)

Rearrange the inequality to isolate x.

Subtract x from both sides of the inequality:

\(\begin{aligned}x+9-x & < 4x-x\\9& < 3x\end{aligned}\)

Divide both sides of the inequality by 3:

\(\begin{aligned}\dfrac{9}{3}& < \dfrac{3x}{3}\\\\3& < x\\\\x& > 3\end{aligned}\)

So the values of x that make the inequality true are:

Therefore, from the given answer options, the value of x that makes the inequality true is x = 4.

To check this, substitute x = 4 into the inequality:

\(\begin{aligned}x+9& < 4x\\x=4\implies 4+9& < 4(4)\\13& < 16\end{aligned}\)

As 13 is less than 16, the inequality is true when x = 4.

The graph of the new function would be less steep than the original one but would not be shifted up or down or left or right.

Thus, the correct option is: It would be less steep.

In mathematics, a graph is a visual representation of a set of objects where some pairs of the objects are connected by links. The objects, which are usually represented by points, are called vertices or nodes, and the links, which are usually represented by lines or arcs, are called edges.

The original function y = 5x + 1 has a slope of 5, which means that for every 1 unit increase in x, y increases by 5 units.

The new function y = 2x + 1 has a slope of 2, which is less steep than the slope of the original function.

However, the y-intercept of both functions is the same, which is 1.Therefore, the graph of the new function would be less steep than the original one but would not be shifted up or down or left or right.

Thus, the correct option is: It would be less steep.

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Answer: B

Step-by-step explanation: the pic shows this

Answer:

The least three-digit number which leaves a remainder of 1 when divided by 5 or 6 is 101.

Step-by-step explanation:

This is because 101 is the smallest three-digit number which is not a multiple of either 5 or 6. To see that 101 is the smallest such number, you can check that 100 and 99 are both multiples of both 5 and 6, and 98 is a multiple of 6.

Answer:

29+31+24+30+20+18+16= 168

how many numbers there are= 7

168/7= 1,176

The mean is= 1,176

Hope this helped

Answer:

24

Step-by-step explanation:

Add up all the numbers

16+18+20+24+29+30+31=168

Divide the sum by how many numbers there are

Hope it is helpful

Answer:

Your answer is 8

Step-by-step explanation:

You can just count the cubes or multiply 2 by 4

The value of s is 17.

What is the Pythagorean theorem?

The Pythagorean theorem, sometimes known as Pythagoras' theorem, is a basic relationship between a right triangle's three sides in Euclidean geometry. According to this statement, the areas of the squares on the other two sides add up to the size of the square whose side is the hypotenuse.

Here, we have

Given

AB = 5, BD = 15

We have to find AD.

By applying the Pythagorean Theorem, we get

AB² + BD² = AD²

5² +15² = AD²

AD² = 289

AD = 17

Hence, the value of s is 17.

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Answer:

x=14

Step-by-step explanation:

According to Thales' theorem, the triangle inside 6,7,8 is similar to the triangle 12,x,16:

\(\frac{12}{6}= \frac{16}{8} =\frac{x}{7} =2\)

\(x=7(2)=14\)

Hope this helps

Yes, because for each input there is exactly one output. Therefore, the relation represented by the mapping diagram is a function.

To determine if the relation represented by the given mapping diagram is a function, we need to check if each input (x value) has exactly one output (y value) associated with it.

From the given mapping diagram, we can see that:

The input value -3 is associated with the output value 0.

The input value -1 is associated with the output value 2.

The input value 1 is associated with the output value 0.

The input value 3 is associated with the output value 2.

The input value 5 is associated with the output value 5.

As we can see, each input value has exactly one output value associated with it. Therefore, the relation represented by the mapping diagram is a function.

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Answer:

15 inches

Step-by-step explanation:

The space diagonal of a rectangular prism is the root of the sum of the squares of the edge lengths. The longest straight part that will fit in the box will be at most ...

l = √(4² +4² +14²) = √228 ≈ 15.10 . . . . inches

If im wrong just tell me im sorry if it is

Ally~

Answer:

x is equal to 2.5 and -4.5

Step-by-step explanation:

-4(x + 1)² - 3 = -51

-4(x² + 2x + 1) - 3 = -51

-4x² - 8x -3 - 3 = -51

-4x² - 8x - 6 = -51

-4x² - 8x = -45

-4(x^2 + 2x) = -45

-4(x^2 + 2x + 1) = -49

-4(x + 1)² = -49

(x + 1)² = 49/4

x + 1 = ± √(49/4)

x + 1 = ± 7/2

x = -1 ± 3.5

x = 2.5, -4.5

Answer:

x = 2

Step-by-step explanation:

the area (A) of a rectangle is calculated as

A = length × breadth

given the rectangles have equal areas then equating the two areas gives

4x × 9 = 4(6x + 6) , that is

36x = 24x + 24 ( subtract 24x from both sides )

12x = 24 ( divide both sides by 12 )

x = 2

Answer:

it is d

Step-by-step explanation:

Answer:

  1/60 gallon

Step-by-step explanation:

You want to know what is left of 4/5 gallon of paint if 3/4 gallon was used to paint a doghouse, and 2/3 of the remaining amount was used to paint a door.

To find the amount remaining we subtract the amount used for the doghouse from the original amount:

  4/5 -3/4 = (16 -15)/20 = 1/20 . . . . . gallon

2/3 of that was used, so 1/3 of it remains:

  (1/3)(1/20 gallon) = 1/60 gallon

There is 1/60 of a gallon of paint left in the can.

__

Additional comment

In a standard size gallon paint can, that's about 0.11 inches of paint in the bottom.

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Answer:

6.67%

Step-by-step explanation:

5 / 75 = 0.066667

(0.066667)(100) = 6.67%

Answer:

1 : 3 = 2 : 6 = 3 : 9 = 4 : 12 = 5 : 15 = 6 : 18 = 7 : 21

Step-by-step explanation:

1 : 3 = 2 : 6 = 3 : 9 = 4 : 12 = 5 : 15 = 6 : 18 = 7 : 21.... All of these ratios show the same relationship. Simplifying ratios to the simplest form can be helpful when solving problems that deal with ratios.

The equivalent ratio 9:3 by multiplying both sides by 3.

As an illustration, if we multiply both sides of the ratio 3:1 by 2,

we obtain the equal ratio 6:2,

since 3x2=6 and 1x2=2.

We obtain the equivalent ratio 9:3 by multiplying both sides by 3.

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Answer:

P(A)=0.25

P(B)=0.077

P(AB)=0.192

P(BA)=0.083

Check below for the full numbers, I rounded it for you.

Step-by-step explanation:

What is P(A), the probability that the card is a club?

So whenever you get a deck of cards you'll have 52 which have 4 suits, think of it like UNO, and club is one of the suit's name! This mean all this question is asking you is the probability of getting a club out of the 52 cards which is

52/4=13

So we know that there is 13 club cards.

Meaning the probability is a 25% since you can only get it 1/4 of the time.

P(A)=0.25

What is P(B), the probability that the card is a 5?

Same as what I stated earlier but this time you only have 4 cards that can be a "5" out of the 52 cards.

4/52=0.076923

P(B)=0.077

What is P(A and B), the probability that the card is a club and a 5?

Keep a eye on the working "and" this means it's referring to the possibility of getting a club and a 5 and since this can only happen once the chances are extremely slim.

1/52=0.1923076

P(AB)=0.192

What is P(BA), the conditional probability that the card is a 5 given that it is a club?

This assumes that you're only drawing from a deck of ONLY clubs so the chances of getting a 5 in that stack.

1/12=0.08333 (3 keeps going)

P(BA)=0.083

(This one might be wrong since I haven't done conditional probability in a long time but I feel somewhat confident, I do feel confident about the rest so no worries.)

Is P(BA) = P(B)? Are the events A and B independent?

No, P(BA) = P(B) is not true since A and B do influence one another since what if I get a 5 without replacement this results in change of chances of A.

Answer:

1.1/4

2.1/13

3.1/52

4.1/13

5. Yes p(B/A)=P(B) and Yes, events A and B are independent events.

Step-by-step explanation:

khan academy walk through

The value of x is approximately 49.4 units.

What is volume ?

Volume is a measure of the amount of space occupied by a three-dimensional object. It is typically expressed in cubic units such as cubic meters, cubic centimeters, or cubic feet. Volume is a fundamental concept in mathematics and physics, and it is an important property for describing the size, capacity, or amount of material contained within an object.

Let's start by defining some variables:

r: radius of the cone

h: height of the cone

V: volume of the cone

A right cone has a circular base, and its volume can be calculated as follows:

V = (1/3) * π * r² * h

If the diameter of the base is 12 units, then the radius is half of that:

r = 6 units

We also know that the volume is 2767 units³, so we can write:

2767 = (1/3) * π * 6² * h

Simplifying:

h = (2767 * 3) / (π * 6²)

h ≈ 49.15 units

Now, we need to find the value of x. We can use the Pythagorean theorem to relate x, r, and h:

x² = r² + h²

Substituting the values we have:

x² = 6² + 49.15²

x ≈ 49.4 units

Therefore, the value of x is approximately 49.4 units.

In summary, we used the formula for the volume of a cone to relate the radius and height of the cone to its volume. Then, we used the Pythagorean theorem to relate the unknown value of x to the known values of r and h. Finally, we substituted the known values to find the approximate value of x.

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Your complete question is :-The volume of the right cone below is 2767 units³. Find the value of x if it's diameter is 12

Answer:

\(W=\frac{V}{UV+1}\)

Step-by-step explanation:

\(V-W=UVW\\\\V-W+W=UVW+W\\\\V=UVW+W\\\\V=UVW+W\\\\V=W(UV+1)\\\\\frac{1}{UV+1}(V)= \frac{1}{UV+1}(W)(UV+1) \\\\W=\frac{V}{UV+1}\)