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3 years ago

15

the jars of paint in the art room have different amounts of paint the green paint jar is 4/8 School the purple paint jar is 4/6

full which paint jar is less full

1 answer:

s344n2d4d5 [400]3 years ago

4 0

4/8 is less than 4/6. therefore, the green jar is less full.

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Jake bought 3 drawing pens for $8.07. Each pen costs the same amount. About how much did he spend for one pen? * 2 points

Marina86 [1]

Given:

Jake bought 3 drawing pens for $8.07.

Each pen costs the same amount.

To find:

How much did he spend for one pen?

Solution:

Let x be the cost of each pen. Then

Cost of three pens = 3x

Jake bought 3 drawing pens for $8.07.

$3x=8.07$

Divide both sides by 3.

$x=\dfrac{8.07}{3}$

$x=2.69$

Therefore, he spend $2.69 for one pen.

3 0

3 years ago

A factory worker productivity is normally distributed. one worker produces an average of 75 units per day with a standard deviat

Angelina_Jolie [31]

Let Xi be the random variable representing the number of units the ﬁrst worker produces in day i.
Deﬁne X = X1 + X2 + X3 + X4 + X5 as the random variable representing the number of units the
ﬁrst worker produces during the entire week. It is easy to prove that X is normally distributed with mean µx = 5·75 = 375 and standard deviation σx = 20√5.
Similarly, deﬁne random variables Y1, Y2,...,Y5 representing the number of units produces by
the second worker during each of the ﬁve days and deﬁne Y = Y1 + Y2 + Y3 + Y4 + Y5. Again, Y is normally distributed with mean µy = 5·65 = 325 and standard deviation σy = 25√5. Of course, we assume that X and Y are independent. The problem asks for P(X > Y ) or in other words for P(X −Y > 0). It is a quite surprising fact that the random variable U = X−Y , the diﬀerence between X and Y , is also normally distributed with mean µU = µx−µy = 375−325 = 50 and standard deviation σU, where σ2 U = σ2 x+σ2 y = 400·5+625·5 = 1025·5 = 5125. It follows that σU = √5125. A reference to the above fact can be found online at http://mathworld.wolfram.com/NormalDiﬀerenceDistribution.html.
Now everything reduces to ﬁnding P(U > 0) P(U > 0) = P(U −50 √5125 > − 50 √5125)≈ P(Z > −0.69843) ≈ 0.757546 .

5 0

3 years ago

Rohan is 2 years elder than rohit. Five years ago , one third of his age was equal to three-sevenths of rohit's age. Clalculate

Oksana_A [137]

Answer:

I hope it will help you.

have a great day . ☺☺

8 0

3 years ago

Read 2 more answers

William is 3 years, older than Charmine. The sum of 3 times Charmaine's age and 2 times William's age is 76. How old are William

lana66690 [7]

William is 17 years old and Charmaine is 14 years old.

Step-by-step explanation:

Let x be the age of William and y be the age of Charmaine

Then

William is 3 years, older than Charmine.

x = y+3 Eqn 1

The sum of 3 times Charmaine's age and 2 times William's age is 76.

2x+3y = 76 Eqn 2

Putting x = y+3 in Eqn 2

$2(y+3)+3y=76\\2y+6+3y=76\\5y+6=76\\Subtracting\ 6\ from\ both\ sides\\5y+6-6=76-6\\5y=70\\Dividing\ both\ sides\ by\ 5\\\frac{5y}{5} = \frac{70}{5}\\y=14\\Putting\ the\ value\ of\ y\ in\ Eqn\ 1\\x=y+3\\x=14+3\\x=17$

Hence,

William is 17 years old and Charmaine is 14 years old.

Keywords: Linear equations, Variables

Learn more about linear equations at:

#LearnwithBrainly

5 0

3 years ago

In square ABCD, AC = 3(x+8) and BD = 7 +4x. Solve for X

svetoff [14.1K]

Answer:

x=17

Step-by-step explanation:

3(x+8) = 7+4x

3x+24 = 7+4x

24 = 7+x

17=x

7 0

3 years ago