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3 years ago

Make x the subject 4x=y

Mathematics

1 answer:

Mandarinka [93]3 years ago

3 0

Answer:

x=y/4

Step-by-step explanation:

Simply divide by 4 to get x by itself

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The numbers 1, 2, 3, 4, and 5 are written on slips of paper, and 2 slips are drawn at random one at a time without replacemen

mamaluj [8]

<h2>Answer:</h2>

(a)

The probability is : 1/2

(b)

The probability is : 1/2

<h2>Step-by-step explanation:</h2>

The numbers 1, 2, 3, 4, and 5 are written on slips of paper, and 2 slips are drawn at random one at a time without replacement.

The total combinations that are possible are:

(1,2) (1,3) (1,4) (1,5)

(2,1) (2,3) (2,4) (2,5)

(3,1) (3,2) (3,4) (3,5)

(4,1) (4,2) (4,3) (4,5)

(5,1) (5,2) (5,3) (5,4)

i.e. the total outcomes are : 20

(a)

Let A denote the event that the first number is 4.

and B denote the event that the sum is: 9.

Let P denote the probability of an event.

We are asked to find:

P(A|B)

We know that it could be calculated by using the formula:

$P(A|B)=\dfrac{P(A\bigcap B)}{P(B)}$

Hence, based on the data we have:

$P(A\bigcap B)=\dfrac{1}{20}$

( Since, out of a total of 20 outcomes there is just one outcome which comes in A∩B and it is: (4,5) )

and

$P(B)=\dfrac{2}{20}$

( since, there are just two outcomes such that the sum is: 9

(4,5) and (5,4) )

Hence, we have:

$P(A|B)=\dfrac{\dfrac{1}{20}}{\dfrac{2}{20}}\\\\i.e.\\\\P(A|B)=\dfrac{1}{2}$

(b)

Let A denote the event that the first number is 3.

and B denote the event that the sum is: 8.

Let P denote the probability of an event.

We are asked to find:

P(A|B)

Hence, based on the data we have:

$P(A\bigcap B)=\dfrac{1}{20}$

( since, the only outcome out of 20 outcomes is: (3,5) )

and

$P(B)=\dfrac{2}{20}$

( since, there are just two outcomes such that the sum is: 8

(3,5) and (5,3) )

Hence, we have:

$P(A|B)=\dfrac{\dfrac{1}{20}}{\dfrac{2}{20}}\\\\i.e.\\\\P(A|B)=\dfrac{1}{2}$

7 0

3 years ago

Solve the Inequality: m+16>8m+2

Setler [38]

Answer:

m<2

Step-by-step explanation:

To get to this, you first need to move the variable to one side, so you could subtract m from both sides to make the equation 16>7m+2. Next, you subtract 2 from both sides to make the equation into 14>7m. Finally, you would divide 7 from both sides to get 2>m, or m<2.

Hope this helps!

5 0

3 years ago

some of the steps in the derivation of the quadratic formula are shown. step 3: –c b^2/4a=a(x^2 b/ax b^2/4a62) step 4a: –c b^2/4

wel

-converting to a common denominator

The terms -c of the left side was converted to -4ac/4a to have the same denominator of b^2/4a.

3 0

3 years ago

Read 2 more answers

3) A school's enrollment in 2019 was 692 students. In 2020 they enrolled 852 students. What was the % increase in students from

elena55 [62]

Answer:

D. 23.1%

Step-by-step explanation:

852-692=160 160/692=0.231213873 rounds to 0.231 move decimal over two places to the right to make it percent which is 23.1%

5 0

3 years ago

Which statements correctly describe the cosine and sine functions? Check all that apply.

VMariaS [17]

Answers:

B: <em>The sine function increases on (0°, 90°) and (270°, 360°).</em>

C: <em>The cosine function decreases on (0°, 180°).</em>

E: <em>Both the cosine and sine functions have a maximum value of 1.</em>

F: <em>Both the cosine and sine functions are periodic.</em>

4 0

3 years ago