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umka2103 [35]
3 years ago
13

70% of the 100 students in a middle school cafeteria bought their lunch. Some of the students that bought there lunch leave the

cafeteria to attend a assembly. Now only 60% of the remaining students bought there lunch. How many students are remaining in the cafeteria? Explain.
Mathematics
2 answers:
Fittoniya [83]3 years ago
5 0
600 because 60 percent of 100 is 600
ale4655 [162]3 years ago
3 0
70% of 100 is 70and 60% of 100 is 60.
70% bought lunch and 30% didnt, so that means 79 bought lunch and 30 didn't. onky people who bought lunch left, so the 30% remained. but 60% of the students bought lunch stayed in the cafeteria. 30%+60%=90% . 90% is 90 students, so there are 90 students in the cafeteria
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Answer:

a percent is a variable of proportionality describing the part of the whole.

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2 years ago
Which equation is y = â€""6x2 3x 2 rewritten in vertex form?.
Ber [7]

The vertex form needed is :

-6(x-0.25)^2 +2.375

Given the equation:

-6x^2 + 3x + 2\\

The vertex form of f(x) = ax^2 + b(x) + c is given by:

f(x) = a(x-h)^2 + k

Here, (h,k) is the vertex of the parabola equation given.

Conversion will go like this:

-6x^2 + 3x + 2\\= -6(x^2 - 0.5x) + 2\\= -6(x^2 -0.5x + 0.0625 - 0.0625) + 2\\= -6(x^2 -0.5x + 0.0625) + 2 +0.375\\= -6(x-0.25)^2 + 2.375\\\\

This is the resultant vertex form.

Thus the vertex form needed is :

-6(x-0.25)^2 +2.375

Learn more here:

brainly.com/question/15165354

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2 years ago
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RoseWind [281]
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3 years ago
If p(x) = x^2 + 7x + 3 is divided by x + 4, the remainder is <br> a0
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Suppose a team of doctors wanted to study the effect of different types of exercise on reducing body fat percentage in adult men
Inessa05 [86]

Answer:

<em>A. The F statistic increases as the differences among the sample means for the exercise groups increase.</em>

<em>C. The F statistic has 3 degrees of freedom in the numerator and 35 degrees of freedom in the denominator.</em>

<em>F. The F statistic is 9.2242.</em>

Step-by-step explanation:

Given that

Observations                     Samples                             Total

40-49             10       11              9         9                        39

The degrees of freedom is given by

For numerator= k-1 = 4-1=3

For denominator= n-k= 39-4= 35

F statistic is given by

F= MS between/ MS within

=11.632991 / 1.261143 = 9.2242

Where

Mean Square Between = MS between = 11.632991

Mean Square Within = MS within = 1.261143

<u>Hence the correct choices are  A, C and F</u>

<em>A. The F statistic increases as the differences among the sample means for the exercise groups increase.</em>

<em>C. The F statistic has 3 degrees of freedom in the numerator and 35 degrees of freedom in the denominator.</em>

<em>F. The F statistic is 9.2242.</em>

<em></em>

Suppose we have

Mean Square Between = MS between = 18.632991

Mean Square Within = MS within = 1.261143

Then F statistic would be = 14.77468 > 9.2242

which tells that <em>The F statistic increases as the differences among the sample means for the exercise groups increase.</em>

3 0
3 years ago
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