Step-by-step explanation:
0-6
O 4
х
-2
-1
0
1
2
у
8
2
-4
-10
-16
04
O 6
Answer:
The expected number of graphing calculators that malfunctions within 3 months and need to be replaced is 915,000.
Step-by-step explanation:
Let <em>X</em> represents the number of graphing calculator that starts malfunctioning within 36 months of the purchase and needs to be replaced by a new one.
It is provided that <em>X</em> follows a normal distribution with a mean of 54 months and a standard deviation of 8 months.
Also, using the normal model it was determined that 1.22% of graphing calculator manufactured by Texas Instruments malfunctions and needs replacement.
That is,
P (<em>X</em>) = 0.0122
Texas Instruments has sold 75 million graphing calculators world- wide.
Compute the expected number of graphing calculators that malfunctions within 3 months and need to be replaced as follows:
E (<em>X</em>) = n × P (<em>X</em>)
= 75 × 10⁶ × 0.0122
= 915000
Thus, the expected number of graphing calculators that malfunctions within 3 months and need to be replaced is 915,000.
Answer:
22-5= L
L = 17
Step-by-step explanation:
Answer:
a)
<u>Verify is the corresponding sides have same ratio:</u>
- AB / DE = 50/60 = 5/6
- BC / EF = 20/24 = 5/6
Since the ratios are same, the triangles are similar
b)
<u>If one dimension is same, the base areas will make difference by the square of the scale factor:</u>
Answer:
12
Step-by-step explanation:
Given two fractions:
One - fourth and Five - Sixths.
To find:
The common denominator that can be used for the given fractions.
Solution:
First of all, let us have a look at the given fractions:
First fraction is:
Second fraction is:
The denominators of the fractions are 4 and 6.
To find a common denominator, we need to take LCM (Least Common Multiple) of the two denominators.
LCM is the least number which is divisible by the two numbers.
Let us find the LCM by factorization method.
4 = <em><u>2</u></em> 
2
6 = <em><u>2</u></em> 3
The common number are taken once and other number which are not common are taken as it is.
So, the LCM is <em><u>2</u></em> 2 3 = <em>12</em>
The numbers can be written as:
Therefore, <em>12</em> can be used as the common denominator.
