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Anastasy [175]
3 years ago
5

A cooler contains 5 bottle of lemonade, 4 bottles of water, and 3 bottles of juice. Each type is equally likely to be chosen. Ba

sed on your simulation, how many times must a drink be chosen in order to get each type?
Mathematics
1 answer:
lord [1]3 years ago
5 0
I think the answer is 4

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In preparation to buy a new video game that cost $65, your friend plans on saving money each month for the purchase of the game.
andreev551 [17]

Answer:

After 20 months

Step-by-step explanation:

This is a compound growth problem which has the formula:

F=P(1+r)^t

Where

F is future value

P is present amount

r is the rate of growth

t is the time (in months)

Future amount is $65, what he needs at-least

P is the initial amount, that is $10

r is the rate of growth, which is 10% or 10/100 = 0.1

t is time in months, what we need to find

Substituting and solving we get:

F=P(1+r)^t\\65=10(1+0.1)^t\\65=10(1.1)^t\\6.5=1.1^t\\ln(6.5)=ln(1.1^t)\\ln(6.5)=t*ln(1.1)\\t=\frac{ln(6.5)}{ln(1.1)}\\t=19.64

<u>He would need 19.64 months to save up at-least 65. So, that means, he would need 20 months</u>

5 0
3 years ago
What is the midpoint between (1,5) and (7,-3)​
Leokris [45]

Answer:

(4,1)

Step-by-step explanation:

Midpoint=(\frac{x_{1}+x_{2}}{2},\frac{y_{1}+y_{2}}{2})\\

               =(\frac{1+7}{2},\frac{5-3}{2})\\\\=(\frac{8}{2},\frac{2}{2})\\\\=(4,1)

6 0
3 years ago
Read 2 more answers
What is the correct answer of evaluate the expression 2 to the fifth power​
ANEK [815]

2^5 = 2×2×2×2×2

= 4×2×2×2

=8×2×2

=16×2

=32

4 0
4 years ago
On a social studies test, James scored a 2025, Jules earned an 81%, and Scott scored a 0.815. Who earned the highest grade? Just
vlabodo [156]

Answer:

scott earned higher that jules because 81% is 0.81, but the 2025 makes no sense because it does not show a total.

Step-by-step explanation:

4 0
3 years ago
One more rectangular-shaped piece of metal siding needs to be cut to cover the exterior of a pole barn. The area of the piece is
xenn [34]

Answer:

Option A is correct

3.33 ft wide should the metal piece be.

Step-by-step explanation:

Area of rectangle(A) is given by:

A =lw              .....[1]

l is the length and w is the width of the rectangle respectively.

As per the statement:

One more rectangular-shaped piece of metal siding needs to be cut to cover the exterior of a pole barn. The area of the piece is 30 ft²

⇒A = 30 ft²

It is also given that the length is 1 less than 3 times the width

⇒l = 3w -1 ft

Substitute the given values in [1] we have;

30 = (3w-1) \cdot w

Using distributive property: a \cdot (b+c) = a\cdot b+ a\cdot c

then;

30 = 3w^2-w

We can write this as:

3w^2-w-30 = 0

Factorize this equation:

Split the middle term we have;

3w^2-10w+9w-30 = 0

⇒w(3w-10)+3(3w-10=0)

⇒(3w-10)(w+3)=0

By zero product property we have;

3w-10 = 0 and w+3 = 0

Since, w cannot be negative;

so,

w = \frac{10}{3} = 3.3333.. ft

Therefore, to the nearest hundredth of a foot, 3.33 ft wide should the metal piece be.

7 0
3 years ago
Read 2 more answers
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