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3 years ago

10

Radium decays exponentially; it has a half-life of 1,600 years. find a formula for the amount, q(t), remaining from 70 mg of pur

e radium after t years.

1 answer:

RUDIKE [14]3 years ago

3 0

I think the answer is... 22.85 or 22.86

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I don't understand how to do this

just olya [345]

You cross multiple to get the same denominator so you can properly divide the fraction

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4 years ago

To win at LOTTO in one state, one must correctly select 7 numbers from a collection of 48 numbers (1 through 48). The order in w

sashaice [31]

Answer:

See below.

Step-by-step explanation:

This is the number of permutations of 7 from 48.

= 48! / (48-7)!

= 48! / 41!

= 3.71090523 * 10^11.

3 0

3 years ago

.<br> Write the ratio. Explain what the ratio means.<br> 1.golf balls to golf tees

Rainbow [258]

Answer: 5/1

Step-by-step explanation:

so their is 5 balls and 1 tee so put it into a fraction

Ratio means the quantitative between two amounts showing the number of times one value contains

5 0

4 years ago

Five cards are dealt from a standard 52-card deck. (a) What is the probability that we draw 1 ace, 1 two, 1 three, 1 four, and 1

labwork [276]

Answer:

Step-by-step explanation:

As there are total 52 cards in a deck and we have to draw a set of 5 cards, we can use the formula of combination to find the total number of possible ways of drawing 5 cards.

Number of ways to draw 5 cards = $N_T$

$N_T\;=\;({}^NC_k)\\\\N_T\;=\;({}^{52}C_5)\\\\N_T\;=\;2,598,960$

(a) Assuming the cards are drawn in order (would not affect the probability). The of getting Ace, 2, 3, 4 and 5 can be obtained by multiplying the probability of getting cards below 6 (20/52) with the probability of getting 5 different cards (4 choices for each card).

$P(a)\;=\;\frac{20}{52}*\frac{4}{52}*\frac{4}{51}*\frac{4}{50}*\frac{4}{49}*\frac{4}{48}\\\\P(a)\;=\; 1.3133*10^{-6}$

(b) For a straight we require our set to be in a sequence. The choices for lowest value card to produce a sequence are ace, 2, 3, 4, 5, 6, 7, 8, 9, or 10. Hence, the number of ways are $({}^{10}C_1)$ .

For each card we can draw from any of the 4 sets. It can be described mathematically as: $({}^{4}C_1)*({}^{4}C_1)*({}^{4}C_1)*({}^{4}C_1)*({}^{4}C_1)\;=\;[({}^{4}C_1)^5]$

Therefore, the total outcomes for drawing straight are:

$N_S\;=\;({}^{4}C_1)*({}^{4}C_1)^5\;=\;10240$

Thus, the probability of getting a straight hand is:

$P(b)\;=\;\frac{N_S}{N_T}\\\\P(b)\;=\;\frac{10240}{2598960}\\\\P(b)\;=\; 0.0039$

7 0

3 years ago

the cost of a gallon of orange juice is $3.50. What is the maximum number of containers you can buy for $15?

yuradex [85]

$15 divided by $3.50 = 4.28
So your answer would be 4 containers

3 0

3 years ago