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TiliK225 [7]
3 years ago
13

Solve the equation...

Mathematics
1 answer:
Cerrena [4.2K]3 years ago
5 0

Answer:

D) π/2 and 3π/2

Step-by-step explanation:

The equation can be factored:

(1 -sin(x))(1 +sin(x)) = 0

The factors will be zero when ...

sin(x) = 1 ⇒ x = π/2

sin(x) = -1 ⇒ x = 3π/2

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Customers arrive at a checkout counter in a department store according to a Poisson distribution at an average of seven per hour
yulyashka [42]

Answer:

Step-by-step explanation:

60 minutes = 1 hour

The statement would be

"Customers arrive at a checkout counter in a department store according to a Poisson distribution at an average of seven per 60 minutes

If it takes approximately ten minutes to serve each customer, then the mean service time for in minutes for customers arriving during a 1-hour period is

10/60 × 7 = 1.67

In Poisson distribution, variance = mean

Therefore,

Variance = 1.67

The probability that the total service time will exceed 2.5 hours is expressed as P(x > 2.5)

Converting 2.5 hours to minutes, it becomes 2.5 × 60 = 150 minutes

From the Poisson distribution calculator,

P(x > 150) = 0

6 0
4 years ago
Nicole used a total of 5 1/6 gallons of gas while driving her car. Each hour she was driving, she used 5/9 gallons of gas what w
Gennadij [26K]

Let's write the total of gallons in improper fraction:

Step 1: Multiply the denominator by the whole number

6 × 5 = 30

Step 2: Add the answer from Step 1 to the numerator

30 + 1 = 31

Step 3: Write answer from Step 2 over the denominator

5 1/6  = 31 / 6

Let's divide the total gallons by what she used each hour to get the number of hours:

\dfrac{31}{6} \ : \ \dfrac{5}{9} = \dfrac{31}{6}\  \cdot \ \dfrac{9}{5} =  \dfrac{31}{2}\  \cdot \ \dfrac{3}{5} = \dfrac{93}{10}

Let convert the improper fraction to mixed number:

93/10 = 9 3/10

<h2>She was driven a total of 9 3/10 hours</h2>
6 0
1 year ago
A circle has a radius of 3. An arc in this circle has a central angle of 60°.
MArishka [77]

Answer:

π

Step-by-step explanation:

s = (∅/360) * (2πr)

s = (60/360) * (2π*3)

s = (1/6) * (6π)

s = π

8 0
3 years ago
8 Math
MaRussiya [10]
His dilation are wrong
3 0
3 years ago
Read 2 more answers
Michael owns dogs, hamsters and fish in the ratio 2:3:6
Luba_88 [7]

Answer:

11

Step-by-step explanation:

I think you just add the ratios together.

7 0
3 years ago
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