MATHEMATICS
HIGH SCHOOL

Answer: Altitude is 3cm would be the long base

MIDDLE SCHOOL

There are 5 marbles in a bag. 3 are green, and 2 are yellow. You draw a marble, do not replace it, and then draw another. What is the probability of choosing green both times?

3/10 is the probability of getting green on the first selection since there are 3 green and 5+3+2 = 10 total.

Because the first marble is not replaced, this means there are 2 green left out of 9 overall. The probability of getting green again is 2/9

Multiply the two fractions mentioned:

(3/10)*(2/9) = (3*2)/(10*9) = 6/90 = 1/15

The probability of choosing green two times is 1/15 if you do not replace the first marble.

Using a calculator, 1/15 = 0.0667 approximately, which converts to 6.67% after moving the decimal point 2 spots to the right.

Answer as a fraction: 1/15Answer in decimal form: 0.0667Answer in percent form: 6.67%
COLLEGE

An instructor who taught two sections of engineering statistics last term, the first with 25 students and the second with 40, decided to assign a term project. After all projects had been turned in, the instructor randomly ordered them before grading. Consider the first 15 graded projects. (a) What is the probability that exactly 10 of these are from the second section

Answer:

The probability that exactly 10 of these are from the second section is 0.217.

Step-by-step explanation:

This is a problem of combinatorics, we have to count how many different ways of taking 15 projects out of 65 (total number of projects=25+40), which is going to be our total number of cases, and then we have to count how many different ways of taking 10 out of 40 (second section) and 5 (15 (number of graded projects)-10 (taken from second section) out of 25 (first section), which is the number of cases that fulfill our probability.

Doing the calculations:

MIDDLE SCHOOL

Blaire needs more than 616 total points on assignments in her math class to pass. She only has 224 points and needs to do some extra credit assignments that are worth 56 points each. 56x + 224 > 616

How many extra credit assignments does Blaire need to complete in order to pass?

A.

x > 56

B.

x > 7

C.

x > 392

D.

x > 224

Answer: The answer is x >7

Step-by-step explanation:

56⋅x>616−224

56⋅x>616-224

Simplify :

56⋅x>392

56⋅x>392

Dividing by the variable coefficient :

x>

392

56

x>39256

Simplify :

x>7

x>7

Inequality

56⋅x+224>616

56⋅x+224>616

is true for

x>7

x>7

MIDDLE SCHOOL

50th term:-9,2,13,24,35

It’s going up by 11’s so, -9, 2, 13, 24, 35, 46, 57, 68, 79, 90, 101, etc.... until you get to 50 which i believe is 450. :)

HIGH SCHOOL

A rectangular lot is 60 yards wide and 110 yards long. give the length and width of another rectangular lot that has the same perimeter but a smaller area.

P = 2(L + W)

P = 2(110 + 60)

P = 2(170)

P = 340

A = L * W

A = 110 * 60

A = 6600

so the perimeter is 340 and the area is 6600

same pyramid, smaller area..

L = 120

W = 50

P = 2(120 + 50)

P = 2(170)

P = 340....same perimeter

A = L * W

A = 120 * 50

A = 6000...smaller area

so the other rectangle can have a length of 120 yds and a width of 50 yds to have the same perimeter and a smaller area

P = 2(110 + 60)

P = 2(170)

P = 340

A = L * W

A = 110 * 60

A = 6600

so the perimeter is 340 and the area is 6600

same pyramid, smaller area..

L = 120

W = 50

P = 2(120 + 50)

P = 2(170)

P = 340....same perimeter

A = L * W

A = 120 * 50

A = 6000...smaller area

so the other rectangle can have a length of 120 yds and a width of 50 yds to have the same perimeter and a smaller area

MIDDLE SCHOOL

Fractions that have the same denominator such as 1/3 and 2/3 are

Answer:

Fractions with the same denominator are called like fractions.

plz give brainliest

HIGH SCHOOL

Write the following polar equation in Cartesian coordinates: r = sin (2θ) becomes

_______ = 0

(Write the equation so any square root has a positive coefficient.)

Remember that transformation between Cartesian and polar system are:

x=r*cos(α)

y=r*sin(α)

From this we can conclude that:

r=√(x^2 + y^2)

Using trigonometry transformations we can write:

r=sin(2α) = 2sin(α)cos(α)

Now we can multiply both sides with r^2:

r^3 = 2(r*sin(α))*(r*cos(α))

Now using some replacements we can write:

(x^2 + y^2)^(3/2) = 2*x*y

x=r*cos(α)

y=r*sin(α)

From this we can conclude that:

r=√(x^2 + y^2)

Using trigonometry transformations we can write:

r=sin(2α) = 2sin(α)cos(α)

Now we can multiply both sides with r^2:

r^3 = 2(r*sin(α))*(r*cos(α))

Now using some replacements we can write:

(x^2 + y^2)^(3/2) = 2*x*y

HIGH SCHOOL

Whats 6.3 x 10^-5 in standard notation

Hello There!

Simply move the decimal place back 5 spaces or divide by 100000:

0.000063 is your answer.

Hope This Helps You!

Good Luck :)

- Hannah ❤

Simply move the decimal place back 5 spaces or divide by 100000:

0.000063 is your answer.

Hope This Helps You!

Good Luck :)

- Hannah ❤

6.3 * 10^-5 is written in scientific notation, writing it in standard notation, it would be 0.000063.

Since the exponent of the scientific notation is -5, we have to move the decimal point 5 places to the left to get this answer.

Since the exponent of the scientific notation is -5, we have to move the decimal point 5 places to the left to get this answer.

HIGH SCHOOL

A recipe calls for 1/4 cup of flower.Carter only has a mesuring cup that holds 1/8 cup.How can carter mesure the flower that he needs for his recipe?

Answer: use his 1/8 cup two times

Step-by-step explanation:1/8 + 1/8

=2/8 =1/4

Hope this helps you...