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4 years ago

What should be the sum of all the relative frequency values?

Mathematics

1 answer:

baherus [9]4 years ago

7 0

Answer:

The sum of relative frequencies is equal to one, since the sum of all fractional parts must equal the whole.

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jason mixed 8ml of a salt solution with 11ml of a 47% salt solution to make a 43%salt solution. find the percent salt concentrat

choli [55]

Let x% be the salt concentration of first solution.

Then in 8ml, amount of salt = $\frac{8x}{100}$

Given that to this 8ml solution, 11ml solution of a 47% salt solution is mixed.

amount of salt in 11ml of 47% salt solution is $\frac{11*47}{100}$ = $\frac{517}{100}$

So, total amount of salt in new mixture = $\frac{8x}{100} +\frac{517}{100} = \frac{8x+517}{100}$

But given that this new solution is a 43% salt solution.

Hence amount of salt in new mixture of (8+11)=19ml solution of 43% salt solution is $\frac{19*43}{100} = \frac{817}{100}$

Hence $\frac{8x+517}{100} = \frac{817}{100}$

8x+517 = 817

8x=817-517 = 300

x= 300/8 = 37.5

Hence the salt concentration in the first solution is 37.5%

8 0

3 years ago

A box contains three plain pencils and 5 pens. A second box contains three colored pencils and three crayons. One item from each

worty [1.4K]

Answer:

Therefore the probability that a pen from the first box and a crayon from the second box are selected is $\frac5{16}$

Step-by-step explanation:

Probability:

The ratio of the number of favorable outcomes to the number all possible outcomes of the event.

$Probability=\frac{\textrm{The number favorable outcomes}}{\textrm{The number all possible}}$

Given that,

Three plain pencils and 5 pens are contained by the first box.

Total number of pens and pencils is =(3+5)=8

The probability that a pen is selected from the first box is

=P(A)

$=\frac{\textrm{The number pens}}{\textrm{Total number of pens and pencils}}$

$=\frac{5}{8}$

A second box contains three colored pencils and three crayons.

Total number of pencils and crayons is =(3+3)=6

The probability that a crayon is selected from the second box is

=P(B)

$=\frac{\textrm{The number of crayon}}{\textrm{Total number of crayons and pencils}}$

$=\frac{3}{6}$

Since both events are mutually independent.

The required probability is multiple of the events

Therefore the required probability is

$=\frac58\times \frac36$

$=\frac5{16}$

4 0

3 years ago

ASAP! GIVING BRAINLIEST! Please read question 10 THEN answer correctly! No guessing.

o-na [289]

Answer:

x=35

Step-by-step explanation:

62+2x+(x+13)=180

62+2x+x+13=180

3x+75=180

3x=180-75

3x=105

x=35

5 0

3 years ago

A trout lurking 32 cm below the surface of a lake spies an insect flying 17cm above the lake. How many centimeters would the tro

Bumek [7]

Answer:

The Trout will have to jump 49 cm in order to catch the insect

Step-by-step explanation:

Here, we want to calculate the distance the Trout has to jump in order to catch the Insect

To calculate this, we need to know the difference in the distances

From what we have, the Trout is 32 cm below the surface while the Insect is 17 cm above the surface of the lake

The difference in height which will represent the distance that the Trout has to jump to catch the insect will be ;

17 + 32 = 49 cm

3 0

3 years ago

Laura is baking a cake. The recipe says that she has to mix 64 grams of chocolate powder to the flour. Laura knows that 1 cup of

pickupchik [31]

The answer is She went over by one over six of a cup

1 cup of that particular chocolate powder has a mass of 128 grams: 1c = 128g

64 grams of chocolate powder is x cups.
1c = 128g
x = 64g

1c : 128 g = x : 64g
x = 1c : 128 g * 64 g
x = 0.5 c
64 grams of chocolate powder is 0.5 cups = 1/2 cups

She added two over three of a cup of chocolate powder: 2/3 cups

She need to add 1/2 cups: 1/2 = 3/6 cups
She added 2/3 cups: 2/3 = 4/6 cups

So she added 4/6 - 3/6 = 1/6 cups more.

5 0

3 years ago