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Rus_ich [418]
3 years ago
9

A container has 1 pink block and 3 green blocks. Juan wants to make the probability of randomly selecting a black block equal to

50%. How many black blocks should he add?
Mathematics
1 answer:
alex41 [277]3 years ago
8 0

Answer:

4

Step-by-step explanation:

He should add 4 black blocks because there are a total of 4 other blocks, and in order to have a probability of 50%, the number of black blocks needs to be equal to the total number of the other colored blocks.

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Jack is playing a game. When a player wins 3 consecutive games, the player receives 10 bonus points and then the player’s total
Paladinen [302]
<span>The function can be described as

b(p)= player receives 10 bonus points 
</span>b(p)= p+10<span>

s(p)= increases 5% of the player’s current points 
</span>s(p)= <span>p*(100%+5%)= p*1.05

then </span><span> (s ∘ b)(p) would be
</span><span>s(p)= p*1.05
(s ∘ b)(p)= (p+10)*1.05
</span>(s ∘ b)(p)= 1.05p+10.5
4 0
3 years ago
When Vivian was born, her grandparents decided to help save for her college education. They put $2000 in an account that pays 1.
melomori [17]

Answer:

P = 2000 * (1.00325)^(t*4)

(With t in years)

Step-by-step explanation:

The formula that can be used to calculated a compounded interest is:

P = Po * (1 + r/n) ^ (t*n)

Where P is the final value after t years, Po is the inicial value (Po = 2000), r is the annual interest (r = 1.3% = 0.013) and n is a value adjusted with the compound rate (in this case, it is compounded quarterly, so n = 4)

Then, we can write the equation:

P = 2000 * (1 + 0.013/4)^(t*4)

P = 2000 * (1.00325)^(t*4)

4 0
3 years ago
What is the slope of the graph?
VMariaS [17]

<u>Given</u>:

Given that an aquarium is being filled with water.

The given graph shows the height of the water over time as the aquarium is being filled.

We need to determine the slope of the graph.

<u>Slope</u>:

The slope of the given graph can be determined using the formula,

m=\frac{y_2-y_1}{x_2-x_1}

Since, the slope is same for all the points on the straight line, then let us consider the points (2,5) and (4,10)

Substituting these points in the above formula, we get;

m=\frac{10-5}{4-2}

Simplifying, we get;

m=\frac{5}{2}

m=2.5

Thus, the slope of the given graph is 2.5

8 0
3 years ago
Finding the GCF of Three
Len [333]

Answer:

The answer is 4

Step-by-step explanation:

8 0
3 years ago
The function f(x)=125(0.9)x models the population of a species of fly in millions after x years.
deff fn [24]

Answer: (B) 3 times as fast

<u>Step-by-step explanation:</u>

rate of change is the "slope" between the given interval.

f(x) = 125(.9)ˣ

f(1) = 125(.9)¹

    = 112.5

f(5) = 125(.9)⁵

     = 73.8

\dfrac{f(5) - f(1)}{5 - 1} = \dfrac{73.8-112.5}{5-1} = -\dfrac{38.7}{4} = -9.675

********************

f(11) = 125(.9)¹¹

       = 39.2

f(15) = 125(.9)¹⁵

       = 25.7

\dfrac{f(15) - f(11)}{15 - 11} = \dfrac{39.2-25.7}{15-11} = -\dfrac{13.5}{4} = -3.375

********************

The rate of change from years 1 to 5 is approximately 3 times the rate of change from years 11 to 15.

7 0
3 years ago
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