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ZanzabumX [31]
3 years ago
7

75 students at MS 577 play soccer. 25% of MS 577 students play soccer. How many students attend MS 577 in total?

Mathematics
1 answer:
mart [117]3 years ago
5 0
300 students
75 x 4 = 300
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Evaluate the expression 24x - 13y for x = 3 and y = 2 i need help
Vesna [10]

Answer:

46

Step-by-step explanation:

You need just substitute values of x and y, and calculate.

24x - 13y = 24*3 - 13*2 = 72 - 26 = 46

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A rectangular stained glass window is made up of identical triangular parts as pictured below.
Pachacha [2.7K]
36/4=9 48/3=16 so 9*16=144/2=72 so it is 72 square inches
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How to find out L C M of common division method ​
stealth61 [152]

\huge\bigstar\:\Huge\tt\underline\blue{ANSWER}

To find Least Common Multiple by using Division Method we need to follow the following steps.

Step 1: Write the given numbers in a horizontal line, separating them by commas.

Step 2: Divide them by a suitable prime number, which exactly divides at least two of the given numbers.

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3 years ago
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Find the point, M, that divides segment AB into a ratio of 2:3 if A is at (0.15) and B is at (20.0)
timama [110]

Answer:

M = (8,9)

Step-by-step explanation:

Notice that the points (0,15), and (20,0) form with the origin of coordinates (0,0),  a right angle triangle (please see attached image). This triangle has twon perpendicular sides of length 15 and 20 respectively. Therefore, we can find the length of the segment that joins points A (0,15) and B (20,0) by finding the length of the hypotenuse in a right angle triangle (with the Pythagorean Theorem):

AB=\sqrt{15^2+20^2} =\sqrt{625} =25

Now, to get a 2:3 proportion on Segment AB which is of length 25, we need to divide it in five equal parts (see the picture on the right of the attached image), and place point M at two of these divisions from point A (0,15) and along segment AB.

In order to find the appropriate location in (x,y) coordinates, we consider a smaller triangle (pictured in orange in the image) that is similar to the first larger triangle (pictured in blue). Notice that if the length of AB is 25,  each of its five equal divisions would be of length "5", and therefore two of them will render a length of "10" (which is the hypotenuse of this smaller right angle triangle.

Now, in order to find the sides of this smaller triangle (which can give us the clues on the horizontal and vertical coordinates of point M), we can use proportions.

To find the length "x" of the horizontal side , we do:

\frac{x}{10} =\frac{20}{25} \\x=\frac{10*20}{25} \\x=8

To find the length "y" of the vertical side , we do:

\frac{y}{10} =\frac{15}{25} \\y=\frac{10*15}{25} \\y=6

Then, the coordinate "x" of point M will be "8", while we can calculate the y position of point M subtracting "6" from 15 (the length of the vertical side in the original triangle). This gives us the coordinates (8,9) for point M as marked in orange in the picture.

7 0
3 years ago
A publisher reports that 76v% of their readers own a personal computer. A marketing executive wants to test the claim that the p
lawyer [7]

Answer:

Null Hypothesis: 'The proportion of readers who own a personal computer is not 76%'

Alternative hypothesis: 'The proportion of readers who own a personal computer is not 76%', or it could also be stated as 'The proportion of readers who own a personal computer is less than 76%'

Step-by-step explanation:

A null hypothesis is an experimental statement that negates the existence of a relationship between two phenomena that are measured, or it is a statement that tells of no association between two experimental groups. The experimenter sets out to test the null hypothesis with a bid to disprove or accept the null hypothesis after subjecting experimental results through various confidence tests.

The null hypothesis is generally accepted to be true, unless it is proven otherwise, and it always comes from the point of negation between the associated phenomena. It is denoted commonly by the symbol 'H₀'.

The null hypothesis is analogous to the statement that ' a person is assumed to be innocent,  (null hypothesis is assumed to be true) unless proven guilty beyond all reasonable doubt ' (and it is rejected only if the results show a statistically significant difference between what is measured and what is stated in the null hypothesis).

When the null hypothesis is rejected, it is replaced by the alternative hypothesis, a statement that holds true to the observed result and rejects the null hypothesis.

In this example, the proposition on ground was that 76% of readers of a publication, has a personal computer, the null hypothesis comes to negate this association/claim, that it is not a 76% proportion, but it could be more or less than 76%, hence the statement 'The proportion of readers who own a personal computer is not 76%'. Upon carrying out the research, it was found that the actual value was 70%, hence the null hypothesis is not rejected, and the null hypothesis is still the alternative hypothesis which can also be stated as 'The proportion of readers who own a personal computer is less than 76%', or in the exact words of the null hypothesis.

7 0
3 years ago
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