Answer:
0.0869
Step-by-step explanation:
The arc electronic company had an income of 90 million dollars last year.
Mean(μ) = 75 million dollars
Standard deviation (σ) = 11 million dollars
Probability that the randomly selected will earn more than arc did last year = Pr(x>90)
Using normal distribution,
Z = (x - μ) / σ
Z = (90 - 75) / 11
Z = 15/11
Z = 1.36
From the normal distribution table, 1.36 = 0.4131
Φ(z) = 0.4131
Recall that when Z is positive, Pr(x>a) = 0.5 - Φ(z)
= 0.5 - 0.4131
= 0.0869
Answer:
First find the sum of 3/8 and -5/12
That is
3/8 - 5/12
First find the common denominator
The common denominator is 24
We get
3/8 - 5/12 = 3(3) - 5(2) / 24
= 9 - 10 / 24
= - 1 / 24
Next find the product of 16/27 x(-15)/8
That's
16/27 × -15/8
= -10/9
Next reverse -10/9
Which is -9/10
Next we divide it by = -1 /24
so we get
-1/24 ÷ -9/10
Change the sign to (×) and reverse the second fraction
We get
-1/24 × -10/9
= 5 / 108
Hope this helps
Answer:
31, 32, 33
Step-by-step explanation:
x + x + 1 +x + 2 = 96
3x + 3 = 96
-3 -3
3x = 93
/3 /3
x = 31
31 is the first number, so since they’re consecutive, the second two numbers are 32 and 33.
The length is 7 with a width of 5, so the area is 35
<h2>
Answer:</h2>
The ratio of the area of region R to the area of region S is:
<h2>
Step-by-step explanation:</h2>
The sides of R are in the ratio : 2:3
Let the length of R be: 2x
and the width of R be: 3x
i.e. The perimeter of R is given by:
( Since, the perimeter of a rectangle with length L and breadth or width B is given by:
)
Hence, we get:
i.e.
Also, let " s " denote the side of the square region.
We know that the perimeter of a square with side " s " is given by:
Now, it is given that:
The perimeters of square region S and rectangular region R are equal.
i.e.
Now, we know that the area of a square is given by:
and
Hence, we get:
and
i.e.
Hence,
Ratio of the area of region R to the area of region S is: