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Free_Kalibri [48]
2 years ago
12

15 is ______% of 400 part, percent, whole?

Mathematics
1 answer:
Snezhnost [94]2 years ago
8 0

Answer:

15 is 3.75% of 400

Step-by-step explanation:

Hi there!

First we divide 15 by 400 to get 0.0375.

To find the percentage, more the decimal point two spaces to the right.

This would become 3.75

That’s your percentage!

Hope this helped!

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HELP ASAP 30 PTS<br> determine the range of the following graph:
Kisachek [45]

Answer:

-6\leq y∠ 4

Step-by-step explanation:

range is the values for y: y can be (including) -6 all the way up to (not including) 4

5 0
3 years ago
Write an equivalent expression for the expression shown below:<br><br> a/3 + a/3 + a/3
iris [78.8K]

Answer:

3 (a/3) = a

Step-by-step explanation:

a/3 + a/3 + a/3

3 times a/3

the 3's cancel each other out

A

Keep up the good work! =)

3 0
3 years ago
Which sampling method is MOST appropriate in estimating the average number of votes for each candidate in an election across a c
kaheart [24]

Answer:

B. Stratified sampling, because there are specific subgroups to investigate.

Step-by-step explanation:

Stratified Sampling is a sampling method and is used when the population has subgroups with different characteristics. Random sampling is applied in each of the sub-groups <em>proportional </em>to their size and then these samples <em>combined </em>together to create sample of the study.

Since there are three towns with people from different occupations ( retirees,business owners, office workers), it is better to use stratified sampling method.

4 0
3 years ago
Which is the simplified form of the expression 3(7/5x+4) - 2(3/2 - 5/4x)?
Kruka [31]

Answer:

B. \frac{67}{10} x + 9

Step-by-step explanation:

Simplify the expression. Remember to go by the order of operations, or PEMDAS.

1) First, distribute the numbers outside of the set of parentheses to the terms inside the set of parentheses next to them. Then, simplify the fractions.

3(\frac{7}{5} x + 4) -2 (\frac{3}{2} -\frac{5}{4} x)

\frac{21}{5}x + 12  - \frac{6}{2} + \frac{10}{4} x

\frac{21}{5} x + 12 - 3 + \frac{10}{4} x

2) Finally, combine like terms. (This means to add or subtract constants and to add or subtract terms with the same variables.) You may need to convert terms to the same denominator in order to do so easier. Then, reduce the fraction.

\frac{21}{5} x + 9 + \frac{10}{4}x \\\frac{84}{20}x + \frac{50}{20}x + 9 \\\frac{134}{20}x + 9 \\\frac{67}{10}x + 9

Thus, the answer is \frac{67}{10} x + 9.

8 0
3 years ago
Dada la ecuacion 25x2 + 4y2 = 100, determina las coordenadas de los vertices, focos, las longitudes de los respectivos ejes mayo
Likurg_2 [28]

Answer:

The given equation is

25x^{2} +4y^{2}=100

Which represents an elipse.

To find its elements, we need to divide the equation by 100

\frac{25x^{2} +4y^{2} }{100} =\frac{100}{100} \\\frac{x^{2} }{4} +\frac{y^{2} }{25} =1

Where a^{2} =25 and b^{2}=4. Remember that the greatest denominator is a, and the least is b. So, we extract the square root on each equation.

a=5 and b=2.

In a elipse, we have a major axis and a minor axis. In this case, the major axis is vertical and the minor axis is horizontal, that means this is a vertical elipse.

The length of the major axis is 2a=2(5)=10.

The length of the minor axis is 2b=2(2)=4.

The vertices are (0,5);(0,-5) and (2,0);(-2,0).

Now, the main parameters of an elipse are related by

a^{2}=b^{2} +c^{2}, which we are gonna use to find c, the parameter of the focus.

c=\sqrt{a^{2}-b^{2} }=\sqrt{25-4}=\sqrt{21}

So, the coordinates of each focus are (0,\sqrt{21}) and (0,-\sqrt{21})

The eccentricity of a elipse is defined

e=\frac{c}{a}=\frac{\sqrt{21} }{5}  \approx 0.92

The latus rectum is defined

L=\frac{2b^{2} }{a}=\frac{2(4)}{5} =\frac{8}{5} \approx 1.6

Finally, the graph of the elipse is attached.

7 0
3 years ago
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