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2 years ago

Write an algebraic expression for the statement.The income earned at $ 10.91 per hour for w hours....

1 answer:

5 0

This is a "rate of pay" problem. The amount earned is equal to the (rate of pay) times the (number of hours worked).

Let the income be represented by "i". Then the formula is i = ($10.91/hour)*w, where w is the number of hours worked and has the unit of measurement "hours."

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Urgent. There are 12 coloured counters in a bag. The counters are black, white or grey A counter is chosen at random. The probab

Nastasia [14]

Answer:

1/12

Step-by-step explanation:

Needed information

$\sf Probability\:of\:an\:event\:occurring = \dfrac{Number\:of\:ways\:it\:can\:occur}{Total\:number\:of\:possible\:outcomes}$

The sum of the probabilities of all outcomes must equal 1

Solution

We are told that the probability that the counter is not black is 3/4.

As the sum of the probabilities of all outcomes must equal 1, we can work out the probability that the counter is black by subtracting 3/4 from 1:

$\sf P(counter\:not\:black)=\dfrac34$

$\implies \sf P(counter\:black)=1-\dfrac34=\dfrac14$

We are told that the probability that the counter is not white is 2/3.

As the sum of the probabilities of all outcomes must equal 1, we can work out the probability that the counter is white by subtracting 2/3 from 1:

$\sf P(counter\:not\:white)=\dfrac23$

$\implies \sf P(counter\:white)=1-\dfrac23=\dfrac13$

We are told that there are black, white and grey counters in the bag. We also know that the sum of the probabilities of all outcomes must equal 1. Therefore, we can work out the probability the counter is grey by subtracting the probability the counter is black and the probability the counter is white from 1:

$\begin{aligned}\sf P(counter\:grey) & = \sf1-P(counter\:black)-P(counter\:white)\\\\ & =\sf 1-\dfrac14-\dfrac13\\\\ & = \sf \dfrac{12}{12}-\dfrac{3}{12}-\dfrac{4}{12}\\\\ & = \sf \dfrac{12-3-4}{12}\\\\ & = \sf \dfrac{5}{12}\end{aligned}$

7 0

2 years ago

Find the volume of the following cylinder using its net.

lord [1]

Answer:

226.08 yd 3

Step-by-step explanation:

3 0

2 years ago

1/4x+17=x-4 help me and don't answer if you not gonna be serious

iogann1982 [59]

X = 28

1/4+17=x-4
Multiply both sides of the equation by 4
X+68=4z-16
Move variable to the left hand side and change its sign
X-4x+68=-16

X-4x=-16-68
Combine like terms
-3x=-16-68
-3x=-84
Divide both sides by -3
X=28

7 0

3 years ago

Read 2 more answers

A) NO CHANGE B) City in the 1860s, C) City, in the 1860s, D) City in the 1860s

Oliga [24]

The correct option is B. City in the 1860s.

Conference In Two Years is the full form of CITY, CITY stands for Conference In Two Years, or Conference In Two Years is the complete name of the given abbreviation.

Any person whose salary is payable, in whole or in part, from the City treasury is referred to as a "City Official," as is any employee, officer, or elected official of the City.

Life as it is lived in a city, especially when compared to that of a small town, hamlet, etc.; the way of life thought to be typical of city dwellers.

Disclaimer

City in the 1860s- stole more than $30 millions.

Choose the correct option

A) NO CHANGE

B) City in the 1860s,

C) City, in the 1860s,

D) City in the 1860s

Learn more about City here

brainly.com/question/237028

#SPJ4

4 0

1 year ago