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2 years ago

There are 42 students 21 are in 7th grade 14 are in 8th 7 are in ninth whats the probability of an eighth grader winning

Mathematics

1 answer:

Varvara68 [4.7K]2 years ago

3 0

Answer:

The probability of an eighth grader winning is 1/3

Step-by-step explanation:

Total no. of students = 42

Number of students in 7th grade = 21

Number of students in 8th grade = 14

Number of students in 9th grade = 7

Probability of event = $\frac{\text{Favorable outcomes}}{\text{Total outcomes}}$

So,the probability of an eighth grader winning= $\frac{14}{42}=\frac{2}{6}=\frac{1}{3}$

Hence The probability of an eighth grader winning is 1/3

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A distribution has a mean of 16 and a standard deviation of 6. What is the Z score that corresponds with 34?

Brrunno [24]

Answer:

Z = 3

Step-by-step explanation:

In a normal distribution, the Z score that corresponds with a data point x is calculated using the formula;

$Z=\frac{x-mean}{standard deviation}$

For the case given, the z score will be;

$Z=\frac{34-16}{6}=3$

7 0

3 years ago

What is the quotient 2y^-6y-20/4y+12 ÷ y+5y+6/3y^2+28y+27

malfutka [58]

Answer with explanation:

$\rightarrow \frac{\frac{2y^2-6 y-20}{4 y+12}}{\frac{y^2+5 y+6}{3 y^2+28 y+27}}\\\\\rightarrow \frac{\frac{y^2-3y-10}{2 y+6}}{\frac{(y+2)(y+3)}{3 y^2+28 y+27}}\\\\\rightarrow \frac{\frac{(y-5)(y+2)}{2 (y+3)}}{\frac{(y+2)(y+3)}{3 y^2+28 y+27}}\\\\\rightarrow \frac{(y-5)(y+2)}{2 (y+3)}} \times {\frac{3 y^2+28 y+27}{(y+2)(y+3)}}\\\\ \rightarrow\frac{(y-5)\times(3 y^2+28 y+27)}{2 (y+3)^2}}$

→y²+5y+6

=y²+3 y+2 y+6

=y×(y+3)+2×(y+3)

=(y+2)(y+3)

→y² -3 y-10

=y² -5 y+2 y -10

=y×(y-5)+2×(y-5)

=(y+2)(y-5)

6 0

3 years ago

Read 2 more answers

A furniture company has 480 board ft of teak wood and can sustain up to 450 hours of labor each week. Each chair produced requir

miskamm [114]

The numbers of chairs and tables that should be produced each week in order to maximize the company's profit is 15 chairs and 18 tables.

Since a furniture company has 480 board ft of teak wood and can sustain up to 450 hours of labor each week, and each chair produced requires 8 ft of wood and 12 hours of labor, and each table requires 20 ft of wood and 15 hours of labor, to determine, if a chair yields a profit of $ 65 and a table yields a profit of $ 90, what are the numbers of chairs and tables that should be produced each week in order to maximize the company's profit, the following calculation should be done:

16 chairs; 24 tables
Time used = 16 x 12 + 24 x 15 = 192 + 360 = 552
Wood used = 16 x 8 + 24 x 20 = 128 + 480 = 608
15 chairs; 18 tables
Time used = 15 x 12 + 18 x 15 = 180 + 270 = 450
Wood used = 15 x 8 + 18 x 20 = 120 + 360 = 480
12 chairs; 28 tables
Time used = 12 x 12 + 28 x 15 = 144 + 420 = 564
Wood used = 12 x 8 + 28 x 20 = 96 + 540 = 636
18 chairs; 20 tables
Time used = 18 x 12 + 20 x 15 = 216 + 300 = 516
Wood used = 18 x 8 + 20 x 20 = 144 + 400 = 544

Therefore, the only option that meets the requirements of time and wood used is that of 15 chairs and 18 tables, whose economic benefit will be the following:

15 x 65 + 18 x 90 = X
975 + 1,620 = X
2,595 = X

Therefore, the numbers of chairs and tables that should be produced each week in order to maximize the company's profit is 15 chairs and 18 tables.

Learn more in brainly.com/question/14728529

8 0

1 year ago

X2 - 5x + 4<br> What is equivalent to this expression?

drek231 [11]

Answer

(x-1) (x-4)

Step-by-step explanation:

I did this not long ago in class so that's the answer

6 0

2 years ago

Read 2 more answers