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natka813 [3]
2 years ago
11

2 1 MLD

Mathematics
1 answer:
mash [69]2 years ago
4 0
Profits = 3.009(number of pizzas) - 77.131
Profits = 3.009(275) - 77.131 = 750.344
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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

<em>Also, let D = event that television is defective</em>

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

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

<em>Probability of a defective television is given by;</em>

   =  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, <em><u>probability of finding a non-defective television</u></em> = 1 - Pro<em>bability of a defective television</em>

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

                                                                                   = 0.9815

<em>Therefore, the probability of finding a non-defective television is 98.15%.</em>

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!<br><br> Find the area of the shaded region.
hodyreva [135]

Answer: 9mm

Step-by-step explanation:

5 0
2 years ago
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