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3 years ago

2) Find the value of two numbers if their sum is (14 and their difference is 2.

Mathematics

1 answer:

Alchen [17]3 years ago

7 0

Answer:

8 and 6

Step-by-step explanation:

Because 8 plus 6 equals 14 and the difference between the two numbers is 2

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The arrival time of a professor to her office is uniformly distributed in the interval between 8 and 9 A.M. Find the probability

NeTakaya

Answer:

0.025

Step-by-step explanation:

Given that the arrival time of a professor to her office is uniformly distributed in the interval between 8 and 9 A.M.

If the professor did not arrive till 8.20 he will arrive between 8.21 and 8.40

Hence probability for arriving after 8.20 is 1/40

Prob he arrives at exactly 8.21 is 1/60

To find the probability that professor will arrive in the next minute given that she has not arrived by 8: 20.

= Prob that the professor arrives at 8.21/Prob he has not arrived by 8.20

This is conditional probability and hence

= $P(professor arrives at 8.21)/P(professor arrives after 8.20)\\= \frac{\frac{1}{60} }{\frac{40}{60} } \\=\frac{1}{40} \\=0.025$

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4 years ago

] Monica Geller, head chef at Allesandro's and is looking to update the commercial equipment in her kitchen and bar that will al

liubo4ka [24]

Answer:

The maximum amount that should be spent on the upgrade is $38,298,000.

Step-by-step explanation:

Let the initial purchase be x.

The ROI = 15% of x = 0.15x

At the end of 4 years, salvage value = 10% of x = 0.1x

Current income per day = $16 × 230 = $3680

Expected income per day = $21 × 245 = $5145

Increase in income per day = $5145 - $3680 = $1465

For 4 years (assuming a year is 365 days),

Increase in income = $1465 × 365 × 4 = $2138900

Maintenance and utility cost for 4 years = 4 × $56000 = $224000

At the end of 4 years,

ROI = $2138900 + salvage value = $2138900 + 0.1x - $224000

0.15x = $1914900 + 0.1x

0.05x = $1914900

x = $38298000

5 0

3 years ago

Read 2 more answers

What should the following equation be multiplied by in order to eliminate the fractions? x/2 + x/3 = 25/3

tatuchka [14]

Answer:

Step-by-step explanation:

4 0

3 years ago

Pls help asap, find the height of the cylinder and round to the nearest tenth

Elena L [17]

Answer:

h = 2.4

Step-by-step explanation:

The volume of a cylinder is given by

V = pi r^2 h where r is the radius and h is the height

271.4 = pi ( 6)^2 *h

271.4 = 36* pi* h

Letting 3.14 = pi

271.4 = 113.04 h

Divide each side by 113.04

271.4 /113.04 = 113.04h/113.04

2.424805379 = h

Rounding to the nearest tenth

2.4 = h

OR if we use the pi button

271.4 = 36 * pi *h

Divide each side by 36 pi

271.4/36pi = h

h=2.3997

Rounding to the nearest tenth

h =2.4

3 0

2 years ago

The pH level of a solution measures how acidic or basic the solution is. Values between 0 and 7 are considered acidic while valu

Furkat [3]

Answer:

about 2.47

Step-by-step explanation:

Your calculator will tell you ...

$-\log{(3.4\times 10^{-3})}\approx 2.4685\approx\bf{2.47}$

4 0

3 years ago