7 cars full and 5 people on the next car
Answer:
x=12
Step-by-step explanation:
tangent forms 90° with the touch point at circle
(x+8)^2 = 256+x^2
x^2 + 16x + 64 = 256 + x^2
16x = 192
x= 12
Answer:
The expected total amount of time the operator will spend on the calls each day is of 210 minutes.
Step-by-step explanation:
Normal Probability Distribution:
Problems of normal distributions can be solved using the z-score formula.
In a set with mean
and standard deviation
, the z-score of a measure X is given by:

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the p-value, we get the probability that the value of the measure is greater than X.
n-values of normal variable:
Suppose we have n values from a normally distributed variable. The mean of the sum of all the instances is
and the standard deviation is 
Calls to a customer service center last on average 2.8 minutes.
This means that 
75 calls each day.
This means that 
What is the expected total amount of time in minutes the operator will spend on the calls each day
This is M, so:

The expected total amount of time the operator will spend on the calls each day is of 210 minutes.
The numbers 7, 11, 12, 13, 14, 18, 21, 23, 27, and 29 are written on separate cards, and the cards are placed on a table with th
SCORPION-xisa [38]
The probability of picking a card with an even number is
.
<h3>
What is probability?</h3>
- Probability is an area of mathematics that deals with numerical descriptions of how probable an event is to occur or how likely a statement is to be true.
- The probability of an event is a number between 0 and 1, where 0 denotes the event's impossibility and 1 represents certainty.
To find the probability of picking a card with an even number:
- There are 10 cards on which numbers are written 7, 11, 12, 13, 14, 18, 21, 23, 27, and 29.
- These cards are placed on a table with the numbers facing down.
- To find the probability of picking a card with an even number, first, we count all the even numbers written on the cards.
- 12, 14, and 18 out of 10 cards there are 3 even numbers written on the cards.
- So, the probability of picking a card with an even number is
.
Therefore, the probability of picking a card with an even number is
.
Know more about probability here:
brainly.com/question/24756209
#SPJ4
COMPLETE QUESTION:
The numbers 7, 11, 12, 13, 14, 18, 21, 23, 27, and 29 are written on separate cards, and the cards are placed on a table with the numbers facing down. The probability of picking a card with an even number is _____.
Answer:
Step-by-step explanation:
6). Equation of the line has been given as,
4x + 9y = -9
By converting this equation into y-intercept form,
9y = -4x - 9


By comparing this equation with y = mx + b
Here, m = Slope of the line
b = y-intercept
Slope of the equation (m) = 
y-intercept (b) = -1
8). Equation of the line is,
5x + 3y = 12
3y = -5x + 12


Slope of the line = 
y-intercept = 4