Answer:
1/2 or 0.5
Step-by-step explanation:
Within 1 to 6,
Even numbers are 2, 4, 6
While odd numbers are 1, 3, 5
Assuming cards are mixed up properly and the probabilities of drawing a card with any number from 1 to 6 is constant,
Probability of drawing even number cards = number of units of even number cards ÷ total number of units of cards from 1 to 6 aka total number of cards
= 3 / 6
= 1 / 2
Answer:
Step-by-step explanation:
7y+5+3y+5=70
10y+10=70
10y=60
y=6
7(6)+5= 42+5= 47
3(6)+5= 18 + 5 =23
47+23= 70
(3,2) is the answer of the system of equations.
For the most part, the cross-section formed is a <em>trapezoid</em>, but if the slice passes through the apex of the pyramid, that shape is a <em>triangle</em>.
(Image source: MathCaptain.com)
Answer:
<em>The mass of the steel ball is 4,235.9 gr</em>
Step-by-step explanation:
<u>Density</u>
The density ρ of a substance is a measure of its mass per unit volume:

If the density and the volume are given, the mass can be calculated by solving the above formula for m:

We know the density of pure steel ρ=8.09 gr/cm3 and the diameter of a solid steel ball d=10 cm.
We need to calculate the volume of the sphere:
The volume of a sphere of radius r is given by:

The radius is half the diameter: r= 10/2 = 5 cm. Thus:

Calculating:

The mass is:

m=4,235.9 gr
The mass of the steel ball is 4,235.9 gr