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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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I can define continuous data as:
stira [4]

Answer:

Continuous data are data which can take any values. Examples include time, height and weight. Because continuous data can take any value, there are an infinite number of possible outcomes.

5 0
3 years ago
Three houses are mapped on a coordinate grid.
Licemer1 [7]

Step-by-step explanation:

Let us consider the task to find the angle between vectors ES and EJ (the first letters are taken to name the vectors).

\overrightarrow{ES} = (4;4) - (4; -3) = \overrightarrow{(0; 7)}

ES

=(4;4)−(4;−3)=

(0;7)

​

\overrightarrow{EJ} = (-5; -4) - (4; -3) = \overrightarrow{(-9; -1)}

EJ

=(−5;−4)−(4;−3)=

(−9;−1)

​

cos \alpha=\frac{\overrightarrow{ES}*\overrightarrow{EJ}}{|\overrightarrow{EJ}|*|\overrightarrow{ES}|}cosα=

∣

EJ

∣∗∣

ES

∣

ES

∗

EJ

​

cos(a) = (0*(-9)+7*(-1)) / (7*9.055) = -0.11043;

a = 96,34°

Solution: 96 degrees.

6 0
3 years ago
What is the percent of decrease from 6 to 5.4?
Helga [31]

Answer:

The percent decrease from 6 to 5.4 is 10%.

Step-by-step explanation:

5 0
3 years ago
Will adding a negative number to another integer always result in a negative sum? Why?
Ghella [55]

Answer:

  D  No, the integer with the larger absolute value always determines the sign of the sum.

Step-by-step explanation:

Suppose the integer you start with is +3. Adding -1 or -2 or -3 to that will result in 2, 1, or 0, none of which are negative. Only when you add a negative number with an absolute value greater than 3 will you get a sum that is negative. That is, <em>the number in the sum that has the largest absolute value determines the sign of the result</em>. (This is most important when the signs differ, but it is also true when the signs are the same.)

7 0
3 years ago
If r || s and M&lt;5 = 128, what’s is M&lt;1??<br><br> A. 128<br> B. 59<br> C. 62<br> D. 64
Fudgin [204]
We have been given that r is parallel to s. Now, if we look at angle 5 and angle 1, we can see that they are corresponding angles on parallel lines. Corresponding angles are ALWAYS equal, so therefore, your answer is 128 degrees; option A! :)

Hope this helped!
7 0
3 years ago
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