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3 years ago

Clayton is solving the equation 5x^2 = 20 – 12x with the quadratic formula.

Mathematics

1 answer:

Stolb23 [73]3 years ago

4 0

Answer:

$a=5, b=20, c= -12$

Step-by-step explanation:

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A professor has 24 pairs of socks in his drawer. 18 pairs are black and the rest are brown. He always wears black pants. He does

lesya692 [45]

Answer:

The likelihood that the professor's socks matched his pants on both days is 0.5625

Step-by-step explanation:

Total no. of pair of socks = 24

No. of black pairs = 18

We are given that he selects one pair of socks on Monday and one on Tuesday. Since he has lots of clean socks in the drawer he does not do laundry.

So, It is a case of replacement

He always wears black pants.

We are supposed to find he likelihood that the professor's socks matched his pants on both days i.e. Black socks both days.

So ,Probability of wearing black socks on Monday = $\frac{18}{24}$

So ,Probability of wearing black socks on Tuesday = $\frac{18}{24}$

So,the likelihood that the professor's socks matched his pants on both days = $\frac{18}{24} \times \frac{18}{24}=0.5625$

Hence the likelihood that the professor's socks matched his pants on both days is 0.5625

4 0

3 years ago

Dr. Clarence invested $5000 in an account that draws 3.2% interest, compounded annually. What is the total value of the account

castortr0y [4]

It's simple, you just have to times everything. 5000 x 3.2% x 5 years. After calculating these, 3.2 is as 0.032 so there would be three decimal places. So then it will e 5000 x 0.032 x 5

5 0

3 years ago

What is the area of the figure?

bija089 [108]

Answer:

B)48

Step-by-step explanation:

Cut the figure to get 2 rectangles. 9x4=36 And then 6x2=12. Add the two numbers 36+12 to get 48.

8 0

3 years ago

Read 2 more answers

17. MODELING WITH MATHEMATICS Explain how to find<br> the distance across the canyon

kotykmax [81]

Answer:

jhhhhbbbnnnnbbbbbnnnnn

5 0

3 years ago

Trains headed for destination A arrive at the train station at 15-minute intervals tarting at 7am, where as trains headed for de

grandymaker [24]

Answer: a.) 2/3 ; b.) 7/12

Step-by-step explanation:

Given the following details :

Destination A trains arrives at station at 15 minutes interval starting from 7am

Destination B trains arrives at station at 15 minutes interval starting from 7.05am

A.) if a passenger arrives at station uniformly between 7am and 8am and gets on first train. What proportion of time does the passenger leave from destination A?

To leave for destination A. The passenger has to arrive before train to A departs and after train to B leaves.

Train to B leaves, starting at at 7.05 a.m and at interval of 15 minutes

Train to A leaves at 7.00 am and at interval of 15 minutes.

Therefore,

(Train B departs - train A arrives) (between 7 to 8am)

(7.05 - 7.15) + (7.20 - 7.30) + (7.35 - 7.45) + (7.50 - 8.00) = 40 minutes

Total time = 7.00 - 8.00 = 60 minutes

(40 ÷ 60) = 2/3 or 0.667

B.) If passenger arrives uniformly between 7.10am - 8:10am

(7.10 - 7.15) + (7.20 - 7.30) + (7.35 - 7.45) + (7.50 - 8)

5 + 10 + 10 + 10 = 35

35/60 = 7/12 or 0.583

8 0

3 years ago