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1 year ago

Linda tossed a fair coin 6 times, and the result was heads each time. Which statement

Mathematics

1 answer:

Ivanshal [37]1 year ago

6 0

Answer:

Step-by-step explanation:

Each toss is independent so the probability of getting a tail is the same thE OF GETTING A HEAD - 50%^.

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Solve : Show all world

dem82 [27]

Answer:

Step-by-step explanation:

3y+21+hy+20 = 90

the sum of two complimentary angles = 90

m+n=90

then solve for y ( i think it is not letter H it has to be a number).

5 0

2 years ago

the sum of four times the first number and three times the second number is 15. the difference of three times the first number a

Nana76 [90]

Hey there!

Let's create a systems of equations using x and y.

4x+3y=15

3x-2y=7

We need to solve this using elimination. First, we need to multiply the first equation by 2/3 so that we can cancel out the y's when combining our equations.

2 2/3x+2y=10

3x-2y=7

Now we combine the equations...

5 2/3x=17

x=3

Now we can plug our x into the first equation to find y.

12+3y=15

y=1

Our numbers are 3 and 1.

I hope this helps!

3 0

2 years ago

Because of the commutative property of multiplication, it is true that

rewona [7]

Answer:

It is Commutative

Step-by-step explanation:

An operation ∆ is said to be Commutative if a∆b=b∆a ∀ a,b ∈ ℝ.

Given the operation ∆ defined by:

a∆b=a X b

$a=\frac{3}{4}, b=4$

a∆b= $\frac{3}{4}X4$

$=\frac{3X4}{4}$ =3

Similarly, for the right hand side.

$(\frac{4}{3})^{-1}=\frac{3}{4}$

Therefore:

b∆a= $4X \frac{3}{4}$

$=\frac{4X3}{4}$ =3

These are the two ways of solving this problem and we have in fact shown that the operation is commutative as:

a∆b=b∆a=3

3 0

3 years ago

Find the volume of the solid formed by revolving the region bounded by the graphs of y = x^3, x = 2, and y = 1 about the y-axis.

andrezito [222]

Since the rotation is about the y-axis, I'll integrate by dy.

$\displaystyle y=x^3\\x=\sqrt[3]y\\\\V=\pi \int \limits_1^8(2^2-(\sqrt[3]y)^2)\, dy\\V=\pi \Big[4x-\dfrac{3}{5}x^{\tfrac{5}{3}}\Big]_1^8\\V=\pi \left(4\cdot8-\dfrac{3}{5}\cdot8^{\tfrac{5}{3}\right-\left(4\cdot1-\dfrac{3}{5}\cdot1^{\tfrac{5}{3}\right)\right)\\V=\pi \left(32-\dfrac{96}{5}-\left(4-\dfrac{3}{5}\right)\right)\\V=\pi \left(\dfrac{64}{5}-\dfrac{17}{5}\right)\\V=\dfrac{47\pi}{5}$

3 0

3 years ago

Select the correct answer.

gizmo_the_mogwai [7]

Answer:

Factors are (x-1), (x+1), and (x+2).

Step-by-step explanation:

$g(x)=x^{3}+2x^{2} -x-2\\g(x)=(x - 1) (x + 1) (x + 2)$

7 0

2 years ago