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2 years ago

You randomly choose one marble from the jar. Find the theoretical probability of the event.

Mathematics

1 answer:

zysi [14]2 years ago

4 0

Answer:

1. 33%

2. 16%

3. 50%

Step-by-step explanation:

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In triangle GHI the measure of angle I = 90•, HI = 5.6, and IG = 2.8 feet. Find the measure of angle G to the nearest tenth of a

Irina-Kira [14]

Answer:

63.4

Step-by-step explanation:

3 0

2 years ago

The summer has ended and it’s time to drain the swimming pool. 20 minutes after pulling the plug, there is still 45 000L of wate

WITCHER [35]

Answer:

a) -900 L/min

b) 63000 L

c) v = -900t +63000

d) 7200 L

Step-by-step explanation:

a) You are given two points on the curve of volume vs. time:

(t, v) = (20, 45000) and (70, 0)

The rate of change is ...

Δv/Δt = (0 -45000)/(70 -20) = -45000/50 = -900 . . . . liters per minute

b) In the first 20 minutes, the change in volume was ...

(20 min)(-900 L/min) = -18000 L

So, the initial volume was ...

initial volume -18000 = 45000

initial volume = 63,000 . . . . liters

c) Since we have the slope and the intercept, we can write the equation in slope-intercept form:

v = -900t +63000

d) Put the number in the equation and do the arithmetic.

When t=62, the amount remaining is ...

v = -900(62) +63000 = -55800 +63000 = 7200

7200 L remain after 62 minutes.

6 0

2 years ago

Which ordered pair is the solution to the system of equations? {x+3y=-12, y= 1/3x-6?

Julli [10]

For this, I'll be using the substitution method. Since y = 1/3x - 6, replace the y variable in the first equation with 1/3x - 6 and solve for x:

$x+3(\frac{1}{3}x-6)=-12\\ x+x-18=-12\\ 2x-18=-12\\ 2x=6\\ x=3$

Now that we have the value of x, plug it into either equation to solve for y:

$3+3y=-12\\ 3y=-15\\ y=-5\\ \\ y=\frac{1}{3}*3-6\\ y=1-6\\ y=-5$

<h3><u>In short, the solution to this equation is (3,-5).</u></h3>

5 0

2 years ago

Farmer Jack needs 1,800 square feet of garden space to have enough corn for a year. His garden space is currently 10 5?6 feet by

sergey [27]

Answer:

$1,605\ ft^{2}$

Step-by-step explanation:

step 1

Find the area of the garden space

First convert mixed number to an improper fraction

$10\frac{5}{6}\ ft=\frac{10*6+5}{6}=\frac{65}{6}\ ft$

$A=\frac{65}{6}*18=195\ ft^{2}$

step 2

Find how much more land Farmer Jack needs to plant the rest of his corn

$1,800\ ft^{2}-195\ ft^{2}=1,605\ ft^{2}$

4 0

3 years ago

Solve the following 2 + 8 ÷ 2 x 3

mafiozo [28]

Answer:

Step-by-step explanation:

Solution,

Use the BODMAS Rule:

B = Bracket

O = Of

D = Division

M= Multiplication

A = Addition

S = Subtraction

Now,

Let's solve,

$2 + 8 \div 2 \times 3$

First we have to divide 8 by 2

$= 2 + 4 \times 3$

Calculate the product

$= 2 + 12$

Calculate the sum

$= 14$

Hope this helps...

Good luck on your assignment..

7 0

3 years ago

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