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3 years ago

Michael has 2 liters of a 10% solution. How much of a 17% solution would he need to add to get a 15% solution?

Mathematics

2 answers:

Nastasia [14]3 years ago

8 0

Answer:

5 liters

Step-by-step explanation:

Anton [14]3 years ago

4 0

Answer:

5 liters

Step-by-step explanation:

Let x represent the number of liters of the 17% solution, and represent the percentages as decimal values:

0.1(2) + (0.17)(x) = 0.15(x + 2)

Simplify:

0.2 + 0.17x = 0.15x + 0.3

Solve for x:

0.17x = 0.15x + 0.1

0.02x = 0.1

x = 5

So, you would need 5 liters of a 17% solution to get a 15% solution

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3 years ago

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3 years ago

According to the graph, what is the experimental probability of selecting the letter E?

Daniel [21]

The experimental probability of letter E is: 3/25

Step-by-step explanation:

The given diagram is the number of outcomes for each letter is given

We have to find the total number of outcomes for finding the experimental probability of letter E

So,

Total outcomes = n(S) = 5+12+8+10+6+9 = 50

Number of outcomes for Letter E = n(E) = 6

So the experimental probability will be:

$P(E) = \frac{n(E)}{n(S)}\\\\=\frac{6}{50}\\\\= \frac{3}{25}$

Hence,

The experimental probability of letter E is: 3/25

Keywords: Probability, experimental probability

Learn more about probability at:

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3 years ago

Based on the regression output, which of the following is the predicted time, in minutes, that it took to gather the items if th

devlian [24]

Answer:

The predicted time, in minutes, that it took to gather the items if the order has 22 items is 63.8905 minutes

Step-by-step explanation:

Regression Output :

Predictor Coefficient

Constant 3.0979

Square root of items 2.7633

R.sq.- 96.7%

So, with this data the regression equation is,

$\hat{y}=3.0979+2.7633x$

Now we are supposed to find the predicted time, in minutes, that it took to gather the items if the order has 22 items

Substitute x =22 in equation

$\hat{y}=3.0979+2.7633(22)$

$\hat{y}=63.8905$

Hence the predicted time, in minutes, that it took to gather the items if the order has 22 items is 63.8905 minutes

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3 years ago