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3 years ago

11

You have 16 socks in your drawer. 4 are black, 6 are white, 4 are blue, and 2 are gray. Suppose you randomly choose a sock, repl

ace it, and randomly choose another. What is the probability that either the first sock is blue or the second sock is gray?

1 answer:

Alinara [238K]3 years ago

4 0

Answer:

11/32

Step-by-step explanation:

4/16 + 2/16 - 1/32

simplify and solve

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PLEASE HELP TEST DUE IN 10 MINUTES WILL GIVE BRAINLIEST AND GOOD REVIW!

Eva8 [605]

Answer:

y=3/2(x)+4

Step-by-step explanation:

Because line AB is perpendicular to line BC, the slope of AB is equal to 3/2. Substituting (-2,1) into the new equation gives us "1=3/2(-2)+b" which simplifies to 1=-3+b. This means that b=4.

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3 years ago

simplify the expression. write the answer using scientific notation. (9x10^7)(7x10^9) 1.6x10^17 1.6x10^64 6.3x10^64 6.3x10^17

Daniel [21]

$The\ scientific\ notation:a\cdot10^n\ where\ 1\leq a \ \textless \ 10\ and\ n\in\mathbb{Z}\\----------------------------\\\\(9\cdot10^7)(7\cdot10^9)=(9\cdot7)(10^7\cdot10^9)=63\cdot10^{7+9}\\\\=63\cdot10^{16}=6.3\cdot10^{16+1}=6.3\cdot10^{17}$

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4 years ago

Read 2 more answers

Which expression can be used to convert 22 Australian dollars to US dollars?

mash [69]

Just lol, it up and the you will be fine.

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3 years ago

A motorboat travels 165 kilometers in 3 hours going upstream and 510 kilometers in 6 hours going downstream. What is the rate of

nikitadnepr [17]

<h3>Rate of the boat in still water is 70 km/hr and rate of the current is 15 km/hr</h3><h3><u>Solution:</u></h3>

Given that,

A motorboat travels 165 kilometers in 3 hours going upstream and 510 kilometers in 6 hours going downstream

Therefore,

Upstream distance = 165 km

Upstream time = 3 hours

<h3><u>Find upstream speed:</u></h3>

$speed = \frac{distance}{time}\\\\speed = \frac{165}{3}\\\\speed = 55$

Thus upstream speed is 55 km per hour

Downstream distance = 510 km

Downstream time = 6 hours

<h3><u>Find downstream speed:</u></h3>

$speed = \frac{510}{6}\\\\speed = 85$

Thus downstream speed is 85 km per hour

<em><u>If the speed of a boat in still water is u km/hr and the speed of the stream is v km/hr, then</u></em>

Speed downstream = u + v km/hr

Speed upstream = u - v km/hr

Therefore,

u + v = 85 ----- eqn 1

u - v = 55 ----- eqn 2

Solve both

Add them

u + v + u - v = 85 + 55

2u = 140

u = 70

<em><u>Substitute u = 70 in eqn 1</u></em>

70 + v = 85

v = 85 - 70

v = 15

Thus rate of the boat in still water is 70 km/hr and rate of the current is 15 km/hr

3 0

4 years ago

The sum of three consecutive even integers is 108. What is the largest number?

horrorfan [7]

Answer:

The largest of three numbers is 38.

Step-by-step explanation:

Given : The sum of three consecutive even integers is 108.

We have to find the largest of three consecutive even integer.

Consecutive integers are integer having a difference of one between each term . example 14 , 15, 16 ..

consecutive even integers are integers having a difference of two between them such that first term is in the form of 2n , where n is integers.

Consider the three consecutive even integers are 2n , 2n + 2 , 2n + 4

Also, given The sum of three consecutive even integers is 108.

that is 2n + 2n + 2 + 2n + 4 = 108

Simplify, we get,

6n + 6 = 108

Subtract 6 both side, we get,

6n = 102

Divide by 6 both side, we get,

n = 17

Thus, numbers are 2n = 2 × 17 = 34

2n + 2 = 34 + 2 = 36

2n + 4 = 34 + 4 = 38

Thus, The sum of three consecutive even integers is 108 then integers are 34, 36, 38 .

Thus, The largest of three numbers is 38.

3 0

3 years ago