Answer: a. 0.6759 b. 0.3752 c. 0.1480
Step-by-step explanation:
Given : The long-distance calls made by the employees of a company are normally distributed with a mean of 6.3 minutes and a standard deviation of 2.2 minutes
i.e. 
minutes
minutes
Let x be the long-distance call length.
a. The probability that a call lasts between 5 and 10 minutes will be :-
b. The probability that a call lasts more than 7 minutes. :
![P(X>7)=P(\dfrac{X-\mu}{\sigma}>\dfrac{7-6.3}{2.2})\\\\=P(Z>0.318)\ \ \ \ [z=\dfrac{X-\mu}{\sigma}]\\\\=1-P(Z](https://tex.z-dn.net/?f=P%28X%3E7%29%3DP%28%5Cdfrac%7BX-%5Cmu%7D%7B%5Csigma%7D%3E%5Cdfrac%7B7-6.3%7D%7B2.2%7D%29%5C%5C%5C%5C%3DP%28Z%3E0.318%29%5C%20%5C%20%5C%20%5C%20%5Bz%3D%5Cdfrac%7BX-%5Cmu%7D%7B%5Csigma%7D%5D%5C%5C%5C%5C%3D1-P%28Z%3C0.318%29%5C%5C%5C%5C%3D1-0.6248%5C%20%5C%20%5C%20%5C%20%5B%5Ctext%7Bby%20z-table%7D%5D%5C%5C%5C%5C%3D0.3752)
c. The probability that a call lasts more than 4 minutes. :
1/10 currant
2/5 is cherry × 2 to get it out of 10
so 4/10 (cherry) + 1/10 (currant) = 5/10 so 5 raisins
Answer:
Domain → (-∞, ∞)
Range → (-∞, ∞)
Step-by-step explanation:
Domain of a function is defined by the x-values or input values of the graph.
Similarly, Range of the function is defined by the y-values or output values from the graph.
From the picture attached,
x - values for the line shown in the graph vary from negative infinity to positive infinity.
Therefore, Domain of the function will be → (-∞, ∞)
And for every x-value there is a y-value, so Range of the function will be same as domain (varying from negative infinity to positive infinity) → (-∞, ∞)
Answer:
5/36 or approximately 13.88...%
Step-by-step explanation:
First, we need to know the probability of rolling a 2 or 3. Because there are 6 sides, the probability is 2/6
Next, we have to find the probability of rolling an even number. With the numbers:
1, 2, 3, 4, 5, 6
1, 3, 5 are odd 2, 4, 6 are even
so, the probability of rolling an even number is 3/6
Finally, multiply the probabilities:
3/6*2/6=5/36
Answer:
5/36 or about 13.88%
Answer:
x=1/4
y = -2
(1/4, -2)
b
Step-by-step explanation:
4x -y =3
y =-8x
substitute y =-8x into the first equation. Everywhere you see y put 8x
4x -y =3
4x - (-8x) =3
4x+8x=3
combine like terms
12x = 3
divide by 12
12x/12x = 3 /12
x = 1/4
now we need to find y
y = -8x
y = -8 * 1/4
y = -2
