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2 years ago

20 POINTS

Mathematics

1 answer:

FromTheMoon [43]2 years ago

3 0

Answer:

$\large\boxed{72+28\sqrt[3]3}$

Step-by-step explanation:

$4\sqrt[3]3(7+6\sqrt[3]9)\qquad\text{use distributive property}\ a(b+c)=ab+ac\\\\=(4\sqrt[3]3)(7)+(4\sqrt[3]3)(6\sqrt[3]9)\qquad\text{use}\ \sqrt[3]{a}\cdot\sqrt[3]{b}=\sqrt[3]{ab}\\\\=(4\cdot7)(\sqrt[3]3)+(4\cdot6)(\sqrt[3]{(3)(9)})\\\\=28\sqrt[3]3+24\sqrt[3]{27}\qquad\sqrt[3]{27}=3\ \text{because}\ 3^3=27\\\\=28\sqrt[3]3+24(3)\\\\=28\sqrt[3]3+72$

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meriva

V={Vowels of English alphabets}

V={a,e,i,o,u,A,E,I,O,U}

C={cube numbers between 0 to 50}

C={0,1,8,27}

M={y:y is a multiple of 3 less than 20}

M={0,3,6,9,12,15,18}

6 0

1 year ago

A real estate agent has 12 properties that she shows. She feels that there is a 30% chance of selling any one property during a

Ronch [10]

Answer:

0.2528 = 25.28% probability of selling no more than 2 properties in one week.

Step-by-step explanation:

For each property, there are only two possible outcomes. Either they are sold, or they are not. The chance of selling any one property is independent of selling another property, which means that the binomial probability distribution is used to solve this question.

Binomial probability distribution

The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.

$P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}$

In which $C_{n,x}$ is the number of different combinations of x objects from a set of n elements, given by the following formula.

$C_{n,x} = \frac{n!}{x!(n-x)!}$

And p is the probability of X happening.

A real estate agent has 12 properties that she shows.

This means that $n = 12$

She feels that there is a 30% chance of selling any one property during a week.

This means that $p = 0.3$

Compute the probability of selling no more than 2 properties in one week.

2 or less sold, which is:

$P(X \leq 2) = P(X = 0) + P(X = 1) + P(X = 2)$

In which

$P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}$

$P(X = 0) = C_{12,0}.(0.3)^{0}.(0.7)^{12} = 0.0138$

$P(X = 1) = C_{12,1}.(0.3)^{1}.(0.7)^{11} = 0.0712$

$P(X = 2) = C_{12,2}.(0.3)^{2}.(0.7)^{10} = 0.1678$

Then

$P(X \leq 2) = P(X = 0) + P(X = 1) + P(X = 2) = 0.0138 + 0.0712 + 0.1678 = 0.2528$

0.2528 = 25.28% probability of selling no more than 2 properties in one week.

8 0

3 years ago

Please help me? _XYZ is translated 4 units up and 3 units left to yield _X_Y_Z_. What is the distance between any two correspond

natka813 [3]

Every point went up 4 units and left 3 units.
Point X on the triangle moved up 4 and left 3. That formed a right triangle with legs 4 and 3. The distance point X moved to point X', d, is the hypotenuse of the right triangle.
Using the Pythagoras Theorem
3^2+4^2=d^2
d = 5

7 0

3 years ago

Please help me please

dmitriy555 [2]

I think it is game engine developer or ui

6 0

3 years ago

Read 2 more answers

A circle is centered at N(-6, -2). The point E(-1,1) is on the circle.

galina1969 [7]

Answer:

Outside the circle

Step-by-step explanation:

Let's first write the equation of this circle: $(x-h)^2+(y-k)^2=r^2$ , where (h, k) is the center and r is the radius. Here, the center is (-6, -2). We need to find the radius, which will just be the distance from N to E: