Answer: The value of z is -1.75.
Step-by-step explanation:
Given: P(Z<z)=0.04
To find the value of z such that 0.04 of the area lies to the left of z.
We will use z-score table to get the value of z here.
IN z-score table, we have
For P(Z<-1.7507)=0.04
Hence, the value of z is -1.7507.
Its approximate value is -1.75
So the final answer is z=-1.75.
Answer:
1059 computers
Step-by-step explanation:
Using the slope line formula,
The slope of line y = mx is 1.0315.
We have given that,
parabola equation is y = 5x - 3x²
line passing through origin is in the form of y = mx
==> mx = 5x - 3x²
==> 3x²+ mx - 5x = 0
==> 3x² + x(m -5) = 0
==> x(3x + (m -5)) = 0
==> x = 0 , x = (5 -m)/3
The total area of the bounded region is then the integral of 5x - 3x² from x = 0 to x = (5-m)/3
Area under y = 5x - 3x2 and y = mx is (125/54)/2 = 125/108
==> [0 to (5 -m)/3] ∫(5x - 3x²-mx )dx = 125/108
==> [0 to (5 -m)/3]∫( (5 - m)x - 3x2 )dx = 125/108
==> [0 to (5 -m)/3] ((5 - m)x²/2 - x³ )= 125/108
==> (5 - m)[(5 -m)/3]²/2 - ((5 -m)/3)³ = 125/108
==> (5 -m)³/18 - (5 -m)³/27 = 125/108
==> (5 -m)³/54 = 125/108
==> (5 -m)³ = 125/2
==> (5 -m) = 3.9685
==> m = 5 - 3.9685
==> m = 1.0315
Hence slope of line = 1.0315
To learn more about slope of line , refer:
brainly.com/question/29044610
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8^2 = 64 since 8*8 = 64
Squaring a number is the same as multiplying it by itself.
Since 8^2 = 64, this means
1/64 = 1/(8^2) = 8^(-2)
So, 1/64 = 8^(-2)
where the exponent is negative 2
Answer:7 Feet below ground
Step-by-step explanation:
1st: Since it says our hole is dug down 8ft to begin with we can start with x=-8
2nd: After a short break, it says we dug down another 3 feet which is -8-3=-11 which shows we are 11 feet below ground where the negative number showcases we are below ground level.
3rd:
After this we are shown a tractor accidentally fills in the hole with 4ft of dirt which signifies that we lose some of our holes height below ground so we would add four: -11+4=-7 this shows that we are finally seven feet below ground.
