First integer = x
Second integer = x + 2
Third integer = x + 4
Since four times the first integer equals six more than the product of two and the third integer.
=> 4x = 6 + 2(x + 4)
=> 4x = 6 + 2x + 8
=> 2x = 14
=> x = 7.
Hence,
First integer = x = 7
Second integer = x + 2 = 7 + 2 = 9
<span>Third integer = x + 4 = 7 + 4 = 11.</span>
Answer:
a) 
And we can find this probabiliy using the normal standard table or excel and we got:
So then we expect about 4%
b) 
And we can find this probabiliy using the complement rule and the normal standard table or excel and we got:
So then we expect about 8.5%
Step-by-step explanation:
Part a
Let X the random variable that represent the speeds of vehicles, and for this case we know the distribution for X is given by:
Where 
and 
We want to find this probability (legal speed)
We can use the z score given by:
If we apply this formula to our probability we got this:
And we can find this probabiliy using the normal standard table or excel and we got:
So then we expect about 4%
Part b
And we can find this probabiliy using the complement rule and the normal standard table or excel and we got:
So then we expect about 8.50%
You need to break this into smaller shapes. This shape consists of 4 smaller shapes: 3 triangles and 1 rectangle.
Formulas:
Triangle: A = 1/2 bh
Rectangle: A= bh
Let's start with the triangle on top with the points B, C and D.
Base = 6
Height = 3
A = 1/2 (6)(3)
Multiply base by height
A = 1/2 (18)
Multiply.
A= 9
The triangle on the left:
Base= 4
Height = 4
A= 1/2 (4)(4)
A= 1/2 (16)
A= 8
The triangle on the right:
Base= 2
Height= 4
A= 1/2 (2)(4)
A= 1/2 (8)
A= 4
The rectangle in the middle:
Base= 6
Height=4
A= (6)(4)
A= 24
Now add all the areas together:
9 + 8 + 4 + 24 = 45 cm²
Hope this helps! :)
Answer:
I think the answer is C but I'm not too sure so if it doesn't sound right don't click it cuz I don't want you get the answer wrong
Answer:
The answer could be 0,3 but i do not know for sure sorry if its wrong.
