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3 years ago

If you roll a single six-sided die, what s the probability of rolling an odd number

Mathematics

2 answers:

Over [174]3 years ago

8 0

50%. half of the numbers are even and half are odd

Hatshy [7]3 years ago

7 0

All possible outcomes - 6
odd number - 3

probability - $\dfrac{3}{6}=\dfrac{1}{2}$

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HELP ME PLEASE

solmaris [256]

Answer:

The initial mass of the sample was 16 mg.

The mass after 5 weeks will be about 0.0372 mg.

Step-by-step explanation:

We can write an exponential function to model the situation.

Let the initial amount be A. The standard exponential function is given by:

$P(t)=A(r)^t$

Where r is the rate of growth/decay.

Since the half-life of Palladium-100 is four days, r = 1/2. We will also substitute t/4 for t to to represent one cycle every four days. Therefore:

$\displaystyle P(t)=A\Big(\frac{1}{2}\Big)^{t/4}$

After 12 days, a sample of Palladium-100 has been reduced to a mass of two milligrams.

Therefore, when x = 12, P(x) = 2. By substitution:

$\displaystyle 2=A\Big(\frac{1}{2}\Big)^{12/4}$

Solve for A. Simplify:

$\displaystyle 2=A\Big(\frac{1}{2}\Big)^3$

Simplify:

$\displaystyle 2=A\Big(\frac{1}{8}\Big)$

Thus, the initial mass of the sample was:

$A=16\text{ mg}$

5 weeks is equivalent to 35 days. Therefore, we can find P(35):

$\displaystyle P(35)=16\Big(\frac{1}{2}\Big)^{35/4}\approx0.0372\text{ mg}$

About 0.0372 mg will be left of the original 16 mg sample after 5 weeks.

5 0

3 years ago

How to prove a quadrilateral is a trapezoid but not a parrallelogram

elena55 [62]

To prove a quadrilateral is a parallelogram, you must use one of these five ways. Prove that both pairs of opposite sides are parallel. Prove that both pairs of opposite sides are congruent.Prove that one pair of opposite sides is both congruent and parallel. Prove that the diagonals bisect each other.

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3 years ago

A reason not to end it all (:

mixer [17]

You are everything, you are loved :)

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3 years ago

Pipe A can fill 3 tanks in 8 minutes. Pipe B can fill 5 tanks in 10 minutes. How long will it take for them to fill a single tan

weqwewe [10]

Answer:

8/7 min = $1 \frac{1}{7} minutes$

Step-by-step explanation:

A rate 2 2/3 = 8/3 min per tank

B rate 2 min per tank

thus:

A rate = 3/8 tank per min

B rate = 1/2 tank per min

A+ B = 3/8 + 4/8 = 7/8 tank per min

7/8 x = 1

x = 8/7 min

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3 years ago

Solve the given system, using the substitution method. y = 3x – 4 9x – 3y = 14

bulgar [2K]

$y=3x-4 \\
9x-3y=14 \\ \\
\hbox{substitute 3x-4 for y in the 2nd equation:} \\
9x-3(3x-4)=14 \\
9x-9x+12=14 \\
12=14 \\
not \ true \\ \\
\boxed{\hbox{no solution}}$

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3 years ago