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4 years ago

What is the probability of rolling a multiple of 3 and flipping heads?

Mathematics

1 answer:

Ipatiy [6.2K]4 years ago

3 0

Answer: the chance is 50/50 it's it may but it may not

Step-by-step explanation: if you decide 1/2 is a half you have one coin the 1 on the top and 2 side the 2 on the bottom

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Eva is 29 years old and has 2 children, ages 3 and 5. She makes $48,500 a year. Eva decides to buy a $400,000 10-year term polic

miv72 [106K]

Answer:

B, Even with the extra charge for renewal, Eva’s plan is the least expensive.

Step-by-step explanation:

3 0

3 years ago

Read 2 more answers

L :V --> W is a linear transformation. Prove each of the following (a) ker L is a subspace of V. (b) range L is a subspace of

iragen [17]

Answer:

a) Assume that $x,y\in\ker L$ , and $\alpha$ is a scalar (a real or complex number).

First. Let us prove that $\ker L$ is not empty. This is easy because $L(0_V)=0_W$ , by linearity. Here, $0_V$ stands for the zero vector of V, and $0_W$ stands for the zero vector of W.

Second. Let us prove that $\alpha x\in\ker L$ . By linearity

$L(\alpha x) = \alpha L(x)=\alpha 0_W=0_W$ .

Then, $\alpha x\in\ker L$ .

Third. Let us prove that $y+ x\in\ker L$ . Again, by linearity

$L(x+y)=L(x)+L(y) = 0_W + 0_W=0_W$ .

And the statement readily follows.

b) Assume that $u$ and $v$ are in range of $L$ . Then, there exist $x,y\in V$ such that $L(x)=u$ and $L(y)=v$ .

First. Let us prove that range of $L$ is not empty. This is easy because $L(0_V)=0_W$ , by linearity.

Second. Let us prove that $\alpha u$ is on the range of $L$ .

$\alpha u = \alpha L(x) = L(\alpha x) = L(z)$ .

Then, there exist an element $z\in V$ such that $L(z)=\alpha u$ . Thus $\alpha u$ is in the range of $L$ .

Third. Let us prove that $u+v$ is in the range of $L$ .

$u+v = L(x)+L(y) = L(x+y)=L(z)$ .

Then, there exist an element $z\in V$ such that $L(z)= u +v$ . Thus $u +v$ is in the range of $L$ .

Notice that in this second part of the problem we used the linearity in the reverse order, compared with the first part of the exercise.

Step-by-step explanation:

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3 years ago

In triangle ABC, AX = XY = YB = BC and the measure of angle ABC is 120 degrees. What is the number of degrees in the measure of

astra-53 [7]

Answer:

the number of degrees=2

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4 years ago

Let f(x) = 5x + 12. Find f^−1(x).

Ira Lisetskai [31]

Answer:

$\huge\boxed{f^{-1}(x)=\dfrac{1}{5}x-3}$

Step-by-step explanation:

$f(x)=5x+15\to y=5x+15\\\\\text{exchange x to y and vice versa}\\\\x=5y+15\\\\\text{solve for}\ y\\\\5y+15=x\qquad|\text{subtract 15 from both sides}\\\\5y=x-15\qquad|\text{divide both sides by 5}\\\\y=\dfrac{1}{5}x-3$

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3 years ago

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Enter an equation in point-slope form for the line.

Klio2033 [76]

Answer:

y + 1 = 8 (x + 7)

Step-by-step explanation:

point slope form is

y - y1 = m (x - x1)

So replace the y1 with the y point, and the x1 with the x point

y - (-1) = m (x - (-7) )

then replace the m with the slope

y - (-1) = 8 (x - (-7) )

now solve

y + 1 = 8 (x + 7)

5 0

3 years ago