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tangare [24]
2 years ago
5

An experienced computer technician can set up a network in 12 hours. It would take an intern 20 hours to set up the same network

. If they work together, how long will it take to set up the network?
Mathematics
2 answers:
mezya [45]2 years ago
6 0

Answer:

ANSWER IS TIME

Step-by-step explanation:

time

yKpoI14uk [10]2 years ago
5 0

Answer:

X

Step-by-step explanation:

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Find the exact value for cos π 12 applying sum and difference formulas involving π 3 and π 4 .
nadya68 [22]

First, split the angle into two angles where the values of the six trigonometric functions are known. In this case, π/12 can be split into π/3−π/4.

cos(π/3−π/4)

Use the difference formula for cosine to simplify the expression. The formula states that cos(A−B)=cos(A)cos(B)+sin(A)sin(B)

cos(π/3)⋅cos(π/4)+sin(π/3)⋅sin(π/4)

The exact value of cos(π/3) is 12, so:

(12)⋅cos(π/4)+sin(π/3)⋅sin(π/4)

The exact value of cos(π/4) is √22.

(12)⋅(√22)+sin(π/3)⋅sin(π/4)

The exact value of sin(π/3) is √32.

(12)⋅(√22)+(√32)⋅sin(π/4)

The exact value of sin(π/4) is √22.

(12)⋅(√22)+(√32)⋅(√22)

Simplify each term:

√24+√64

Combine the numerators over the common denominator.

<span>(√2+√6) / 4</span>

8 0
2 years ago
What is the relationship between the unfinished puzzle and the missing piece
Mrac [35]
I would say that the unfinished puzzle has more than one piece and the missing piece is only one, itself.
7 0
2 years ago
Pat's Pizza made 21 cheese pizzas, 14 veggie pizzas, 23 pepperoni pizzas, and 14 sausage pizzas yesterday. Based on this data, w
Charra [1.4K]

Answer:

I think it is maybe 19% but Idk.

Because 14 would seem to low without work and the other are pretty high so im just guessing.

3 0
2 years ago
Suppose the time a child spends waiting at for the bus as a school bus stop is exponentially distributed with mean 7 minutes. De
Gala2k [10]

Answer:

The probability that the child must wait between 6 and 9 minutes on the bus stop on a given morning is 0.148.

Step-by-step explanation:

Let the random variable <em>X</em> represent the time a child spends waiting at for the bus as a school bus stop.

The random variable <em>X</em> is exponentially distributed with mean 7 minutes.

Then the parameter of the distribution is,\lambda=\frac{1}{\mu}=\frac{1}{7}.

The probability density function of <em>X</em> is:

f_{X}(x)=\lambda\cdot e^{-\lambda x};\ x>0,\ \lambda>0

Compute the probability that the child must wait between 6 and 9 minutes on the bus stop on a given morning as follows:

P(6\leq X\leq 9)=\int\limits^{9}_{6} {\lambda\cdot e^{-\lambda x}} \, dx

                      =\int\limits^{9}_{6} {\frac{1}{7}\cdot e^{-\frac{1}{7} \cdot x}} \, dx \\\\=\frac{1}{7}\cdot \int\limits^{9}_{6} {e^{-\frac{1}{7} \cdot x}} \, dx \\\\=[-e^{-\frac{1}{7} \cdot x}]^{9}_{6}\\\\=e^{-\frac{1}{7} \cdot 6}-e^{-\frac{1}{7} \cdot 9}\\\\=0.424373-0.276453\\\\=0.14792\\\\\approx 0.148

Thus, the probability that the child must wait between 6 and 9 minutes on the bus stop on a given morning is 0.148.

6 0
2 years ago
Spin the spinner 90 times to simulate the 90-day weather forecast. Which type of weather has the lowest observed frequency?
tensa zangetsu [6.8K]

Complete Question:

The weather forecast for next season calls for a 10% chance of wind, a 20% chance of rain, a 30% chance of clouds, and a 40% chance of sunshine. If there are 90 days in the season,spin the spinner 90 times to simulate the 90-day weather forecast. Which type of weather has the lowest observed frequency?

Answer:

 Wind Weather

Step-by-step explanation

From the question above

The sample space(which means the total number of events that we are considering ) = 90 times of spinning which represents the 90 days  weather forecast

The chance of wind weather occurring is 10% and its observed  frequency of occurrence within the 90 days is  =  (10÷100) × 90 =  9 days

The chance of rain weather occurring is 20% and its observed  frequency of occurrence within the 90 days is  =  (20÷100) × 90 =  18 days

The chance of cloud weather occurring is 30% and its observed frequency of occurrence  within the 90 days is  =  (30÷100) × 90 =  27 days

The chance of sunshine weather occurring is 40% and its observed frequency of occurrence within the 90 days is  =  (40÷100) × 90 =  36 days

We see from the above calculation that the weather with the lowest observed frequency is Wind weather

 

8 0
2 years ago
Read 2 more answers
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