Containers A (6cm, 5cm, 4cm), B (5cm, 4cm, 3 cm) and C (3cm, 3cm, 2 cm) are three rectangular containers. At first, container A is filled with water to its brim while containers B and C are empty. Next, some water from container A is poured into containers B and C so that container B is completely full while container C is half full. Find the height of the water left in container A..

Answer:

approximately Normal with mean 0.35

Step-by-step explanation:

Central Limit Theorem

The Central Limit Theorem estabilishes 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]

A researcher reports that 80% of high school seniors would pass a driving test, but only 45% of high school freshmen would pass the same driving test.

This means that [tex]p_1 = 0.8, p_2 = 0.45[/tex]

Subtraction of Variable 1 by Variable 2:

By the Central Limit Theorem, the shape will be approximately normal.

The mean is the subtraction of the means of each proportion. So

[tex]p = p_1 - p_2 = 0.8 - 0.45 = 0.35[/tex]

So the correct answer is given by:

approximately Normal with mean 0.35

Step-by-step explanation:

it's slope intercept form

Answer:

slope (I think)

Step-by-step explanation:

Answer:

x co-ordinate and y co-ordinate

Charlie will receive the ring in 21 months.

It is a method of buying something in which a person can make a downpayment to buy something at a store and the store holds the item on their behalf until the last payment is done after which they gain possession of it.

Charlie has put in a ring on layaway. This means that he will only receive the ring in 21 months after he has finished paying all the installments. He will not gain possession of the ring right away after making the downpayment of $85.

Thus, we have found that Charlie will receive the ring in 21 months. The correct answer is option A.

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Answer:

C. -4x - 1

Step-by-step explanation:

[tex]-\frac{1}{2}(8x+2)[/tex]

Distribute the term outside of the parenthesis, Multiply each term in the parenthesis by the term outside (do not forget to include the negative sign when multiplying);

[tex](-\frac{1}{2}(8x))+(-\frac{1}{2}(2))[/tex]

Simplify,

[tex]-4x - 1[/tex]

Answer:

|–2| |5| |–8| |11| |–12|

Answer:

|-2|,|5|,|-8|,|11|,|-12|

Step-by-step explanation:

This is the order because |-2| in absolute value is positive 2 and |11| in absolute value is still positive because you don't change the sign unless the ll was negative in absolute value.

Answer:

y = 1/4 x + 1

The slope is 1/4, and the y intercept is 1.

Let me know if this helps!

Answer:

u dont have a question attached

Step-by-step explanation:

Answer:

Step-by-step explanation:

a 30-60-90 right triangle is a right triangle because of the 90

the 30 and the 60 have to make 90 too since traingles make 180

30 + 60 + 90 = 180

so 30-60-90 is a right triangle.

Right triangles also can use pythagoran theorem, so the angle ratio is

30-60-90

but the side ratio is

a² + b² = c²

Answer:         m               cm

                    112.00 11,200

Step-by-step explanation:

Answer: D all of the above

Step-by-step explanation:

A. you can see that the majoritie of the area is dessort becuase of the long expance of lack of vegitation and water

B. Because there is no other water sourses the cities would have to be along water

C. Along the nile river is vegitation

D. Must be D.

Option B is correct, f(x) = 2ˣ is an exponential parent function.

A relation is a function if it has only One y-value for each x-value.

The exponential parent function is of the form:

f(x) = aˣ

where a is a positive constant (the base of the exponential function).

Among the given options, the exponential parent function is,

⇒  f(x) = 2ˣ,

Because it has the form of an exponential function, where the base is 2.

f(x) = x is a linear function, not an exponential function.

f(x) = |x| is an absolute value function, not an exponential function.

f(x) = x² is a quadratic function, not an exponential function.

Hence,  f(x) = 2ˣ is an exponential parent function, Option B is correct.

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Step-by-step explanation:

the number of members in A municipal corporation depends upon the _______ city

Yes. In mathematics, a function is a binary relation between two sets that associates to each element of the first set exactly one element of the second set.

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hope it helps

Answer:

80+40+44-20÷24+32 ♡♡♡

Using set operations,

1.The number of students who study all the three subjects = 10

2.The number of students who study only mathematics and chemistry = 8

Set operations are the operations that are applied on two or more sets to develop a relationship between them. There are four main kinds of set operations which are as follows.

Let mathematics = M, physics = P, chemistry = C.

n(M∪P∪C) = 80

n(M) = 48

n(P) = 40

n(C) = 44

n(M∩P) = 20

n(M∩C) = ?

n(C∩P) = 24

n(M∩P) + n(M∩C) + n(C∩P) - 3n(C∩P∩M) = 32

20 + n(M∩C) + 24 - 3n(C∩P∩M) = 32

n(M∩C) = 3n(C∩P∩M) - 12 - *

We know,

n(M∪P∪C) = n(M) + n(P) + n(C) - n(M∩P) - n(M∩C) - n(C∩P) + n(C∩P∩M)

80 = 48 + 40 + 44 - 20 - n(M∩C) - 24 + n(C∩P∩M)

n(M∩C) = n(C∩P∩M) + 8 - **

Equating * and **,

n(C∩P∩M) + 8 = 3n(C∩P∩M) - 12

2n(C∩P∩M) = 20

n(C∩P∩M) = 10

putting the value of n(C∩P∩M) in *

n(M∩C) = 18

n(M∩C) - n(C∩P∩M) = 8

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9514 1404 393

Answer:

  ∠2 = 19°

Step-by-step explanation:

Angles that are equal to 161° are vertical and corresponding angles: 1, 4, 5.

Angles that are equal to the supplement of 161° are the remaining angles: 2, 3, 6, 7.

Angle 2 is the supplement of 161°:

  ∠2 = 180° -161°

  ∠2 = 19°

Answer:

4 cm

which is none of the listed answers

Step-by-step explanation:

∛64 = 4

proof:

4x4x4 = 64

Answer:

x² 15

Step-by-step explanation:

I'm not 100% sure.. sorry if I'm wrong..

Answer:

27. C

28. D

29. A

Answer:

12

Step-by-step explanation:

Answer:

They are less than 1/2

Step-by-step explanation:

Answer:

30

Step-by-step explanation:

is mrs. jones is 40, her son is 10, sum = 50.

ten years before son was 0, mrs. jones was 30

Answer:

right 6

down 3

Step-by-step explanation:

Take 1 point and make it go from red to blue. All the rest will do the same thing.

This is just an random choice. Choose the lowest point on the red. It is at

(-3, - 2)

Now to go to the lowest point on the blue, you start by going right from - 3 to + 3 That is 6 units to the right.

Now it also goes down. The red point is -2 for the y or down direction.

It goes down to - 5. So that's down 3 units.

Answer:

6x4=24 it's either this one or the one on top

Answer:

add me keegan#0839

Step-by-step explanation:

Answer:

h = 3100

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Equality Properties

Step-by-step explanation:

Step 1: Define

2h = 81² - 19²

Step 2: Solve for h

Answer:

2h = 81^2 - 19^2

2h = 6561 - 361

2h = 6200

h = 6200/2

h = 3100