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Ronch [10]
3 years ago
8

There are 12 girls and 8 boys in Ms. Sander’s class. Each day, she randomly asks one student to take attendance. In 180 school d

ays, which is the best prediction for the number of times that the student will be a girl?
Mathematics
1 answer:
Assoli18 [71]3 years ago
3 0
If there are 30 students then each student would probably get called up 6 times. I did this by dividing 180 by 30 that got me so each student will go up at least 6 times if there are 30 students
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How to solve this problem step by step. Make brainliest answer if its done. Please
sladkih [1.3K]

D is halfway between A and B

so the coordinates of D are (2,2)

E is halfway between A and C so the coordinates of E are (-1,1)

now you need to find the gradient/slope of DE and BC using the formula:

\frac{y2 - y1}{x2 - x1}

<h3><u>G</u><u>r</u><u>a</u><u>d</u><u>i</u><u>e</u><u>n</u><u>t</u><u> </u><u>o</u><u>f</u><u> </u><u>D</u><u>E</u><u>:</u><u> </u></h3>

SUB IN COORDINATES OF D AND E

\frac{1 - 2}{ - 1 - 2}

therefore the gradient of DE is 1/3.

<h3><u>G</u><u>r</u><u>a</u><u>d</u><u>i</u><u>e</u><u>n</u><u>t</u><u> </u><u>o</u><u>f</u><u> </u><u>B</u><u>C</u><u>:</u></h3>

<em>S</em><em>U</em><em>B</em><em> </em><em>I</em><em>N</em><em> </em><em>C</em><em>O</em><em>O</em><em>R</em><em>D</em><em>I</em><em>N</em><em>A</em><em>T</em><em>E</em><em>S</em><em> </em><em>O</em><em>F</em><em> </em><em>B</em><em> </em><em>A</em><em>N</em><em>D</em><em> </em><em>C</em>

<em>\frac{ - 2 - 0}{ - 3 - 3}</em>

therefore the gradient of BC is -2/-6 which simplifies to 1/3.

<h3>therefore, BC and DE are parallel as they both have a gradient/slope of 1/3 and parallel lines have the same gradient</h3>

6 0
3 years ago
Simplify
scZoUnD [109]
The answer for your question is a
7 0
3 years ago
Read 2 more answers
What is  5.63×10−6in decimal form?a. 0.00000563 b. 0.000000563 c.5,630,000d. 56,300,000
Lelu [443]

5.63 \times  {10}^{ - 6}

To convert into decimal, move the decimal to the left by 6 positions.

It will be 0.00000563

Answer is A.
3 0
3 years ago
3 times a number is 54 less than the square of that number. Find the negative solution.
Pavel [41]

Answer:

x=-6

Step-by-step explanation:

Let x be the number

3x = x^2 -54

Subtract 3x

3x-3x = x^2 -3x-54

0 = x^2 -3x-54

Factor

What 2 numbers multiply to -54 and add to -3

-9*6 = -54

-9+6 = -3

0=(x-9) (x+6)

Using the zero product property

x-9=0    x+6=0

x=9  x=-6

The questions asks for the negative solution

x=-6

3 0
3 years ago
Use complete sentences to describe the process in proving that the solution of an inequality is valid.
saul85 [17]
≥The solution of an inequality is an interval, i.e. a range.

To prove that the interval found as solution, you must consider several cases.

1) In the case that the ineguailty is ≥ or ≤, first use the limits of the interval to prove they are valid solutions. This is, replace the limit values, one at a time, and verifiy the inequality.

2) If the sign is ≥ or > use a value to the right of the limit value to show that the values to the right are solution, and use a value to the left to show that they are not solution.

3) If the sign is ≤ or <, use a value to the left of the limit value to show that it is a solution and a value to the right of the limit value to show that it is not a solution. 
7 0
3 years ago
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