2 1 MLD

A sink has two faucets: one for hot water and one for cold water. The sink can be filled by a cold water faucet in 3 minutes. If

iragen [17]

Answer: $6\ minutes$

Step-by-step explanation:

You can use the following formula:

$\frac{T}{A}+\frac{T}{B}=1$

You can say that "T" is the time (in minutes) for both faucets working together, "A" is the time (in minutes) for cold water faucet working alone and "B" is the time (in minutes) for hot water faucet working alone.

Based on the data given in the exercise, you can identify that:

$T=2\\A=3$

Therefore, substituting these values into the formula and solving for "B", you get that this is:

$\frac{2}{3}+\frac{2}{B}=1\\\\\frac{2}{B}=1-\frac{2}{3}\\\\\frac{2}{B}=\frac{1}{3}\\\\2=\frac{1}{3}B\\\\2*3=B\\\\B=6$

3 0

3 years ago

Use the following problem to answer questions 8 and 9. A television manufacturer has three locations where it is finally assembl

Nonamiya [84]

Answer:

The probability of finding a non-defective television is 0.9815.

Step-by-step explanation:

We are given that a television manufacturer has three locations where it is finally assembled. Plants A, B, and C supply 65%, 15%, and 20% respectively of the televisions used by the manufacture.

Quality control has determined that 1.5% produced by Plant A are defective, while plants B and C have 2.5% defective products.

Let Probability that Plant A supply televisions = P(A) = 0.65

Probability that Plant B supply televisions = P(B) = 0.15

Probability that Plant C supply televisions = P(C) = 0.20

Also, let D = event that television is defective

Probability that television is defective given that it is supplied by Plant A = P(D/A) = 0.015

Probability that television is defective given that it is supplied by Plant B = P(D/B) = 0.025

Probability that television is defective given that it is supplied by Plant C = P(D/C) = 0.025

Now, to find the probability of finding a non-defective television firstly we will find the probability of a defective television.

Probability of a defective television is given by;

= P(A) $\times$ P(D/A) + P(B) $\times$ P(D/B) + P(C) $\times$ P(D/C)

= 0.65 $\times$ 0.015 + 0.15 $\times$ 0.025 + 0.20 $\times$ 0.025

= 0.00975 + 0.00375 + 0.005

= 0.0185

Now, probability of finding a non-defective television = 1 - Probability of a defective television

Probability of finding a non-defective television = 1 - 0.0185

= 0.9815

Therefore, the probability of finding a non-defective television is 98.15%.

8 0

3 years ago

Each month, Miss Patrick spends $60 on transportation to work, and earns $24.50 per hour.Each month, Mr. Shah spends $150 on lab

Semmy [17]

Answer:

3 hours for miss patrick 5 hours for mr shah

Step-by-step explanation:

5 0

3 years ago

Read 2 more answers

Consider a geometric sequence with a first term of 4 and a fourth term of -2.916.

Orlov [11]

Answer:

a) Find the common ratio of this sequence.

Answer: -0.82

b) Find the sum to infinity of this sequence.

Answer: 2.2

Step-by-step explanation:

nth term in geometric series is given by $4\ th \ term = ar^n-1\\-2.196 = 4r^{4-1} \\-2.196/4 = r^{3} \\r = \sqrt[3]{0.549} \\r = 0.82$

where

a is the first term

r is the common ratio and

n is the nth term

_________________________________

given

a = 4

4th term = -2.196

let

common ratio of this sequence. be r

$4\ th \ term = ar^n-1\\-2.196 = 4r^{4-1} \\-2.196/4 = r^{3} \\r = \sqrt[3]{-0.549} \\r = -0.82$

a) Find the common ratio of this sequence.

answer: -0.82

sum of infinity of geometric sequence is given by = a/(1-r)

thus,

sum to infinity of this sequence = 4/(1-(-0.82) = 4/1.82 = 2.2

4 0

2 years ago

Please Help! Find the area of the shaded region.

hodyreva [135]

Answer: 9mm

Step-by-step explanation:

5 0

2 years ago