What is the standard form of 3x+(2-4x)

There are 92 students in a chemistry class. The instructor must choose two students at random. Students in a Chemistry Class Aca

Sergio039 [100]

Answer:

0.0108 = 1.08% probability that a sophomore non-Chemistry major and then a junior non-Chemistry major are chosen at random.

Step-by-step explanation:

A probability is the number of desired outcomes divided by the number of total outcomes.

Probability that a sophomore non-Chemistry major

Out of 92 students, 9 are non-chemistry major sophomores. So

$P(A) = \frac{9}{92}$

Then a junior non-Chemistry major are chosen at random.

Now, there are 91 students(1 has been chosen), of which 10 are non-chemistry major juniors. So

$P(B) = \frac{10}{91}$

What is the probability that a sophomore non-Chemistry major and then a junior non-Chemistry major are chosen at random

$P = P(A)*P(B) = \frac{9}{92}*\frac{10}{91} = \frac{9*10}{92*91} = 0.0108$

0.0108 = 1.08% probability that a sophomore non-Chemistry major and then a junior non-Chemistry major are chosen at random.

8 0

3 years ago

What is the value of 5 2/3(−3.6)?

Anestetic [448]

Answer:

Hello, Your answer will be -20 2/4.

Step-by-step explanation:

Conversion a mixed number 5 2

3

to a improper fraction: 5 2/3 = 5 2

3

= 5 · 3 + 2

3

= 15 + 2

3

= 17

3

To find new numerator:

a) Multiply the whole number 5 by the denominator 3. Whole number 5 equally 5 * 3

3

= 15

3

b) Add the answer from previous step 15 to the numerator 2. New numerator is 15 + 2 = 17

c) Write previous answer (new numerator 17) over the denominator 3.

Five and two thirds is seventeen thirds

Conversion a decimal number to a fraction: -3.6 = -36

10

= -18

5

a) Write down the decimal -3.6 divided by 1: -3.6 = -3.6

1

b) Multiply both top and bottom by 10 for every number after the decimal point. (For example, if there are two numbers after the decimal point, then use 100, if there are three then use 1000, etc.)

-3.6

1

= -36

10

Note: -36

10

is called a decimal fraction.

c) Simplify and reduce the fraction

-36

10

= -18 * 2

5 * 2

= -18 * 2

5 * 2

= -18

5

Multiple: 17

3

* (-3.6) = 17 · (-18)

3 · 5

= -306

15

= -102 · 3

5 · 3

= -102

5

Multiply both numerators and denominators. Result fraction keep to lowest possible denominator GCD(-306, 15) = 3. In the next intermediate step the fraction result cannot be further simplified by cancelling.

In words - seventeen thirds multiplied by minus eighteen fifths = minus one hundred two fifths. Hope That Helps!

4 0

3 years ago

What is the range of the given set of ordered pairs? (9,-2) (4,3) ( 8, 10) (-4, 8)

otez555 [7]

Answer:

(-2,3,10,8)

Step-by-step explanation:

eg

(x,y)=(domain,range)

x components are domain and y components are range in the given set of ordered pairs

8 0

3 years ago

Find the equation of the line.

mario62 [17]

Answer:

y = 2/3x - 7

Explanation:

First we must turn 3x + 2y = 6 to slope intercept form. In order to do this first subtract 3x on both sides of the equal sign, so we can get 2y by its self. Now we're left with 2y = -3x + 6 .

Next divide 2 from both sides to get y by its self. Now you got y = -3/2x + 3 (since 6 can be divided by 2 it's a 3 now) Look above to see y= -3/2x +3 graphed. ⤴⤴⤴

To find out the other equation we first need to know what its y-intercept is, and luckily for us we've already been given -3.

Look above to see (6,-3) graphed. ⤴⤴⤴

Look above to see both y = -3/2x + 3 and

y = 2/3x -7 graphed. ⤴⤴⤴

This is a bit lengthy, but I hope you get it :)

5 0

3 years ago

Cole had 3/4 hour of free time before dinner. He spent 2/3 of the time playing guitar. How long did he spend playing guitar? Ple

Kryger [21]

He spent 30 minutes playing the guitar

6 0

3 years ago

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