What is the solution to the inequality?

What is the surface area of a sphere with radius 2?

VladimirAG [237]

$\textit{surface area of a sphere}\\\\ SA=4\pi r^2~~ \begin{cases} r=radius\\[-0.5em] \hrulefill\\ r=2 \end{cases}\implies \begin{array}{llll} SA=4\pi (2)^2\implies SA=16\pi \\\\\\ SA\approx 50.27 \end{array}$

8 0

2 years ago

PLEASE HELP ME 30POINTS +BRAINLY

Serga [27]

1) If a die is rolled once, determine the probability of rolling a 4: Rolling a 4 is an event with 1 favorable outcome (a roll of 4) and the total number of possible outcomes is 6 (a roll of 1, 2, 3, 4, 5, or 6). Thus, the probability of rolling a 4 is $\frac{1}{6}$ .

If a die is rolled once, determine the probability of rolling at least a 4: Rolling at least 4 is an event with 3 favorable outcomes (a roll of 4, 5, or 6) and the total number of possible outcomes is again 6. Thus, the probability of rolling at least a 4 is $\frac{3}{6}$ = $\frac{1}{2}$ .

<h3>Here are two more examples: </h3>

If a coin is flipped twice, determine the probability that it will land heads both times:

Favorable outcomes: 1 -- HH

Possible outcomes: 4 -- HH, HT, TH, TT

Thus, the probability that the coin will land heads both times is $\frac{1}{4}$ .

If Dan grabs one sock from a drawer containing 3 white socks, 4 blue socks, and 5 yellow socks, what is the probability that he will grab a white sock?

Favorable outcomes: 3 (3 white socks)

Possible outcomes: 12 (3 white socks + 4 blue socks + 5 yellow socks)

Thus, the probability that Dan will grab a white sock is $\frac{3}{12}$ = $\frac{1}{4}$ .

6 0

3 years ago

What value of m makes the system of linear equations mx − y + 3 = 0, (2m − 1)x − y + 4 = 0 have no solution?

Morgarella [4.7K]

Answer:

m ≠1 ( all m in R except 1 )

Step-by-step explanation:

hello :

mx − y + 3 = 0.....(*)

(2m − 1)x − y + 4 = 0 ....(**)

multiply (*) by : -1 you have : -mx+y-3=0 ....(***)

(2m − 1)x − y + 4 = 0 ....(**)

add(***) and(**) : -mx+ (2m − 1)x+1 =0

(2m-m-1)x+1=0

(m-1)x = -1

this system have no solution if : m-1≠0 means : m ≠1

6 0

3 years ago

Help me solve the binary operations please

son4ous [18]

Answer:

3*2= $\sf{\pink{\dfrac{4}{5}}}$

Step-by-step explanation:

Given that,

x*y= $\dfrac{(2x-y)}{(x+y}$

3*2=

$\dfrac{2(3)-2}{3+2}\\\\\dfrac{6-2}{5}\\\\\dfrac{4}{5}$

Therefore:-

$\therefore {3*2}=\dfrac{4}{5}$

6 0

2 years ago

Find the area of circle with a radius of 2 in exact terms

ss7ja [257]

Answer:

12.56 (13 if rounded)

Step-by-step explanation:

A=pi x r squared

A=2 squared multiplied by pi

A=4 times pi

plug into calculator should be about 12.56

7 0

3 years ago