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2 years ago

WORTH 100 POINTS

Mathematics

2 answers:

Elanso [62]2 years ago

3 0

Answer:

If Lucas reaches into the refrigerator to get a yogurt without looking, there is a 3/5 probability that Lucas will choose a raspberry yogurt.

There is a 3/5 probability that he will choose a red apple if it is the first item he selects.

There is a 9/25 probability that Lucas will eat a raspberry yogurt and a red apple.

Step-by-step explanation:

3/5 x 3/5 = 9/25

Kisachek [45]2 years ago

3 0

Answer:

Probability of yogurt being raspberry = 3/5 = 0.6
Probability of choosing a red apple = 3/10 = 0.3
Probability of raspberry yogurt AND red apple = 9/50 = 0.18

Step-by-step explanation:

Total of 5 yogurts: 3 raspberry + 1 vanilla + 1 peach

Probability of yogurt being raspberry = 3/5 = 0.6

Total of 5 apples: 2 green + 3 red

Total number of snacks = 10

Probability of choosing a red apple = 3/10 = 0.3

Probability of raspberry yogurt AND red apple = 0.6 x 0.3 = 9/50 = 0.18

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Yolanda owns 4 rabbits. She expects the number of rabbits to double every year.

klasskru [66]

It is geometric sequence.
Therefore:
$a_1=4\\
q=2\\
S=a_1*\frac{1-q^n}{1-q}\\
64=4*\frac{1-2^n}{1-2}\\
16=\frac{1-2^n}{-1}\\
-16=1-2^n\\
16+1=2^n\\
2^4+1=2^n\\
n>4$

After 4 yours she will have over 64 rabbits.

8 0

3 years ago

Read 2 more answers

How long is line UW?

Neko [114]

Answer: UW= 9√3

Step-by-step explanation:

This right triangle is a 30-60-90 triangle. This is a special triangle. Since this is a special triangle, the hypotenuse is 2x.

The hypotenuse is 18. We can figure out the length of x.

2x=18

x=9

Since we got 9, you would think it is the answer, but it's not. The length across the 60° angle is x√3. Now that we know the length across from 60°, we can plug in x.

9√3

We can check our answer by using Pythagorean Theorem.

9²+(9√3)²=18²

81+243=18²

324=324

Since they are equal, we know we have the right answer.

5 0

3 years ago

Modeling Radioactive Decay In Exercise, complete the table for each radioactive isotope.

Travka [436]

Answer :

The amount after 1000 years will be, 5.19 grams.

The amount after 10000 years will be, 0.105 grams.

Step-by-step explanation :

Half-life = 1599 years

First we have to calculate the rate constant, we use the formula :

$k=\frac{0.693}{t_{1/2}}$

$k=\frac{0.693}{1599\text{ years}}$

$k=4.33\times 10^{-4}\text{ years}^{-1}$

Now we have to calculate the amount after 1000 years.

Expression for rate law for first order kinetics is given by:

$t=\frac{2.303}{k}\log\frac{a}{a-x}$

where,

k = rate constant = $4.33\times 10^{-4}\text{ years}^{-1}$

t = time passed by the sample = 1000 years

a = initial amount of the reactant = 8 g

a - x = amount left after decay process = ?

Now put all the given values in above equation, we get

$1000=\frac{2.303}{4.33\times 10^{-4}}\log\frac{8}{a-x}$

$a-x=5.19g$

Thus, the amount after 1000 years will be, 5.19 grams.

Now we have to calculate the amount after 10000 years.

Expression for rate law for first order kinetics is given by:

$t=\frac{2.303}{k}\log\frac{a}{a-x}$

where,

k = rate constant = $4.33\times 10^{-4}\text{ years}^{-1}$

t = time passed by the sample = 10000 years

a = initial amount of the reactant = 8 g

a - x = amount left after decay process = ?

Now put all the given values in above equation, we get

$10000=\frac{2.303}{4.33\times 10^{-4}}\log\frac{8}{a-x}$

$a-x=0.105g$

Thus, the amount after 10000 years will be, 0.105 grams.

4 0

3 years ago

Hannah is asked to convert the number 0.00000305 to scientific notation. Her answer is 3.05 × 106. Which statement best describe

Sophie [7]

Answer: if u mean 3.05 x 10^6 then Hannah is correct.

Step-by-step explanation:

With scientific notations you should have one number on the left side of the decimal so 3.05 is correct and since you move the decimal to the right six times you would get 3.05 * 10^6

6 0

3 years ago

A^2 + 3b ÷ c - 2d A = 3 , B = 8 , C = 2, D = 5 please help me!

s2008m [1.1K]

Answer:

Step-by-step explanation:

Substitute the given values into the expression

3² + 3(8) ÷ 2 - 2(5)

= 9 + 24 ÷ 2 - 10 ← evaluate division before addition/ subtraction

= 9 + 12 - 10

= 21 - 10

= 11

6 0

2 years ago