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dimaraw [331]
3 years ago
14

If Aaron tunes into his favorite radio station at a randomly selected time, there is a 0.20 probability that a commercial will b

e playing.
b. If Aaron tunes into this station at 5 randomly selected times, will there be exactly one time when a commercial is playing?
Mathematics
1 answer:
Gennadij [26K]3 years ago
7 0

Answer:

Yes, there will be with a probability of 0.4096

Step-by-step explanation:

Given,

p = 0.2

1 - p = 0.8

Number of trials, n = 5

P(x = 1)

Using the binomial probability formula :

P(x =x) = nCx * p^x * (1 - p)^(n - x)

P(x = 1) = 5C1 * 0.2^1 * 0.8^4

P(x = 1) = 5 * 0.2^1 * 0.8^4

P(x = 1) = 0.4096

Yes, there will be with a probability of 0.4096

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Answer:

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Step-by-step explanation:

8 0
2 years ago
Solve.<br> 9x + 4 = 3x + 9<br> What would the answer be?
Evgen [1.6K]

Answer:

x = 5/6

Step-by-step explanation:

First, you would take 9x+4=3x+9 and cross out "3x" and change 9x to "6x". Now you have something like this: 6x+4=9. 9 minus 4 equals 5. So, 6x=5. To figure out x, we have to take 5 and divide by 6, to get x=5/6.

3 0
3 years ago
I need urgent help with this. please write out the working and the answer thank you
Lelechka [254]
1.         C = ⁵/₉F - 32
          9C = 9(⁵/₉F - 32)
          9C = 9(⁵/₉F) - 9(32)
          9C = 5F - 288
        - 5F  - 5F
  9C - 5F = -288
- 9C           - 9C
         -5F = -9C - 288
          -5           -5
            F = 1⁴/₅C + 57.6

2. H = w + \frac{50}{m^{2}}
    m^{2}(H) = m^{2}(\frac{50}{m^{2}})
    Hm^{2} = 50
    \frac{Hm^{2}}{H} = \frac{50}{H}
    m^{2} = \frac{50}{H}
    \sqrt{m^{2}} = \sqrt{\frac{50}{H}}
    m = \frac{\sqrt{50}}{\sqrt{H}}
    m = \frac{5\sqrt{2}}{\sqrt{H}}
    m = \frac{5\sqrt{2}}{\sqrt{H}} * \frac{\sqrt{H}}{\sqrt{H}}
    m = \frac{5\sqrt{2H}}{H}

3.                    A = 5 + 4√x
                     - 5  - 5
                  A - 5 = 4√x
              (A - 5)² = (4√x)²
    A² - 10A + 25 = 16x
             16             16
¹/₆A² - ⁵/₈A + 1⁹/₁₆ = x

4. A = \frac{b + c}{b}
    Ab = b(\frac{b + c}{b})
    Ab = b + c
    Ab - b = c
    b(A) - b(1) = c
    b(A - 1) = c
    \frac{b(A - 1)}{A - 1} = \frac{c}{A - 1}
    b = \frac{c}{A - 1}
3 0
3 years ago
50 points!!!!!!!
storchak [24]

Answer:1 and 1/3

Step-by-step explanation:

5 0
3 years ago
An archaeological team is excavating artifacts from a sunken merchant ship on the sea floor. To help with the exploration, the t
denis-greek [22]

Answer:

1) 1500 meters.

2)  3600 meters.

Step-by-step explanation:

Firstly we need to find the value of angle x in the given figure attached to the answer and then use the trignometric identity to calculate the value for 1) and 2) part.

as we know that the triangle is a right angled triangle also second angle is given so we can find the value of the third triangle using the sum of all the angles of a triangle is 180°.

x+67.4°+90°=180°

x=22.6

1)

Now we know that:

\sin x=\dfrac{a}{3900}\\\\\sin 22.6=\dfrac{a}{3900}\\\\0.3843=\dfrac{a}{3900}\\\\a=3900\times 0.3843\\\\a=1498.77

Hence to the nearest meter the value of a will be: a=1500 meter.

Hence, When the probe reaches the ocean floor, the probe will be approximately 1500 meters below the surface, measured vertically from the surface

2)

We are asked to find the value of 'b'.

As \cos x=\dfrac{b}{3900}\\\\\cos 22.6=\dfrac{b}{3900}\\\\0.9232=\dfrac{b}{3900}\\\\b=3900\times 0.9232\\\\b=3600.48

Hence to the nearest meter the value of b is 3600.

When the probe reaches the ocean floor, the horizontal distance of the probe from the team’s ship on the ocean surface will be approximately  3600 meters.

3 0
3 years ago
Read 2 more answers
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