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hodyreva [135]
2 years ago
9

Molly now blends 6 ml of blue paint with 5 ml of white paint. She decides that she likes this color and wants to make more. If s

he wants to keep this same ratio, how much blue paint will she need to add if she adds 40 ml of white paint? Guys this is do tonight at 11:59 i really need help
Mathematics
1 answer:
Stella [2.4K]2 years ago
6 0

9514 1404 393

Answer:

  48 mL

Step-by-step explanation:

The amount of white paint she added is 40/5 = 8 times the amount she already had. So, Molly needs to add 6·8 = 48 ml of blue paint to her mix.

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A game consists of tossing three coins. If all three coins land on heads, then the player wins $75. If all three coins land on t
emmainna [20.7K]

Answer:

On average, a player should expect to win $15.

Step-by-step explanation:

The expected value in an event with outcomes:

x₁, x₂, ..., xₙ

Each with probability:

p₁, ..., pₙ

is given by:

Ev = x₁*p₁ + ... +xₙ*pₙ

In this case we have 3 outcomes:

player wins $75 = x₁

player wins $45 = x₂

player does not win = x₃

Let's find the probabilities of these events.

player wins $75)

Here we must have the 3 coins landing on heads, so there is only one possible outcome to win $75

While the total number of outcomes for tossing 3 coins, is the product between the number of outcomes for each individual event (where the individual events are tossing each individual coin, each one with 2 outcomes)

Then the number total of outcomes is:

C = 2*2*2 = 8

Then the probability of winning $75 is the quotient between the number of outcomes to win (only one) and the total number of outcomes (8)

p₁ = 1/8

Win $45:

This happens if the 3 coins land on tails, so is exactly equal to the case above, and the probability is the same:

p₂ = 1/8

Not wining:

Remember that:

p₁ + p₂ + ... + pₙ = 1

Then for this case, we must have:

p₁ + p₂ + p₃ = 1

1/8 + 1/8 + p₃ = 1

p₃ = 1 - 1/8 - 1/8

p₃ = 6/8

Then the expected value will be:

Ev = $75*1/8 + $45*1/8 + $0*6/8 = $15

On average, a player should expect to win $15.

7 0
3 years ago
Gus has a lunch food budget of $190 per month. He spends an average of $5 per day on lunch. Which of the following equations rep
olganol [36]

Answer:

The answer is C.

Step-by-step explanation:

Each day (x) he loses 5 dollars from his total of 190. And C shows that because 190 - 5 x. 190 is his total, 5 is dollars lost a day, and x is days

3 0
3 years ago
The end points of diameter BD in a circle form an angle with point C. what is the measure of < BCD ?
Katarina [22]

Answer:

Step-by-step explanation:

Thank i

3 0
2 years ago
Read 2 more answers
Alex is trying to run a certain number of miles by the end of the month Alex is 40% of the way to achieving her goal and she alr
docker41 [41]

Answer:

30 miles

Step-by-step explanation:

Given that:

Alex has some target to run a certain number of miles by the end of the month.

Goal already achieved = 40% of the total goal

Number of miles already run by Alex = 12 miles

To find:

Number of miles that Alex is trying to run by the end of month?

Solution:

We have to find nothing but the goal of Alex here.

Let the number of miles that Alex is trying to run by the end of the month = x miles

As per question statement:

40% of total number of miles to be run = 12 miles

OR

\dfrac{40}{100}\times x = 12\\\Rightarrow 40x=12\times 100\\\Rightarrow x = \dfrac{1200}{40}\\\Rightarrow \bold{x = 30\ miles}

Total number of miles that Alex is trying to run by the end of the month = <em>30 miles</em>

4 0
3 years ago
Use the diagram to find the measure of the given angle.
Lyrx [107]

Answer:

50

Step-by-step explanation:

4 0
2 years ago
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