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4 years ago

Will give brainliest!

Mathematics

2 answers:

andrew11 [14]4 years ago

7 0

The first step to solving a system of equations using substitution is to substitute an equation equal to one variable in for that variable in the other equation.
2x+3(x+1.5)=12

Tanzania [10]4 years ago

6 0

Answer:2x+3(x+1.5)=12

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Ramon has applied to MBA programs at both Harvard and Stanford. He thinks the probability that Harvard will admit him is 0.5, th

ivolga24 [154]

Answer:

(a) The Venn diagram is attached below.

(b) The probability that neither university admits Ramon is 0.20.

Step-by-step explanation:

Let's denote the events as follows:

H = Ramon gets admitted to Harvard

S = Ramon gets admitted to Stanford.

The information provided is:

P (H) = 0.50

P (S) = 0.50

P (H ∩ S) = 0.20

(a)

The Venn diagram is attached below.

(b)

Compute the probability that Ramon gets admitted in neither Harvard nor Stanford as follows:

$P(H^{c}\cup S^{c})=1-P(H\cup S) \\= 1 - [P(H)+P(S)-P(H\cap S)]\\=1-[0.50+0.50-0.20]\\=1-0.80\\=0.20$

Thus, the probability that neither university admits Ramon is 0.20.

(c)

Compute the probability that Ramon gets admitted in Stanford but not in Harvard as follows:

$P(H^{c}\cup S)=P(S)-P(H\cap S) \\= 0.50-0.20\\=0.30$

Thus, the probability that Ramon gets into Stanford but not Harvard 0.30.

7 0

3 years ago

If I have a line that starts at the origin (0,0), and goes 13 meters at an angle of π/6 in the standard position (ie. 30° north

Klio2033 [76]

Line goes 11.2583303 meters in the x direction (east) and 7.5 meters in the y direction (north) .

Step-by-step explanation:

Here we have , If I have a line that starts at the origin (0,0), and goes 13 meters at an angle of π/6 in the standard position (i.e. 30° north of east) . We need yo find how far does it go in the y direction (north), and how far does it go in the x direction (east). Let's find out:

According to question we have a right angle triangle as :

$Hypotenuse =13m\\x=\frac{\pi}{6} =30$

x direction (east)

We know that ,

⇒ $cosx = \frac{Base}{Hypotenuse}$

⇒ $cos30 = \frac{Base}{13}$

⇒ $\frac{\sqrt{3} }{2} = \frac{Base}{13}$

⇒ $Base=\frac{\sqrt{3}(13) }{2} m$

⇒ $Base=11.2583303m$

y direction (North )

We know that ,

⇒ $sinx = \frac{Perpendicular}{Hypotenuse}$

⇒ $sin30 = \frac{Perpendicular}{13}$

⇒ $\frac{1}{2} = \frac{Perpendicular}{13}$

⇒ $Perpendicular=7.5m$

Therefore , Line goes 11.2583303 meters in the x direction (east) and 7.5 meters in the y direction (north) .

8 0

4 years ago

At green deli employees earn double time for any hours worked in addition to their usual 40-hour week. Ester Klein worked 43 hou

topjm [15]

For the 40 hour week, they would be paid 40 multiplied by 9 which is 360. For the additional 3 hours they would be paid 18 dollars an hour, because its double.18 multiplied by 3 is 54. 360 + 54= 414. The answer is $414

7 0

4 years ago

Read 2 more answers

Describe the steps you would follow to write a two-step inequality you can use to solve a real-world problem. & Write a situ

sveticcg [70]

Add 20 both sides
15x<150
divide bothsides by 15
x<10

ok
hmm

bob puts out 15lb of trash per day
he lost 20lbs of it
right now, he has less than 130 lb of trash
find how many days it has been

5 0

3 years ago

Nancy is taking inventory in the pharmacy to make sure there is enough eye medication in the pharmacy. She counts 10 boxes of tr

DanielleElmas [232]

Answer:

Nancy needs to order 5 boxes of travoprost and 9 boxes of latanoprost for her pharmacy.

Step-by-step explanation:

Nancy counts 10 boxes of travoprost and the pharmacy needs 15 boxes to maintain a minimal level in the stock.

So, there is a need to order (15 - 10) = 5 boxes of travoprost.

Again, Nancy counts 3 boxes of latanoprost and the pharmacy needs to 12 boxes.

So, there is a need to order (12 - 3) = 9 boxes of latanoprost.

Therefore, Nancy needs to order 5 boxes of travoprost and 9 boxes of latanoprost for her pharmacy. (Answer)

5 0

3 years ago