Answer:
A
Step-by-step explanation:
Here, we want to write the final formula for the equation after performing the given transformations
Reflection on the y-axis means the x-axis value will change sign
that will give:
y = -x^1/3
Transition of 3 units in the positive x axis
mathematically, we are adding 3 to x
so we have
y = -(x+3)^1/3
4 units in the negative y direction means we are subtracting 4 from the whole equation
That means;
y = -(x + 3)^1/3 - 4
This shows that the first option is right
Answer:
(a) 0.119
(b) 0.1699
Solution:
As per the question:
Mean of the emission,
million ponds/day
Standard deviation,
million ponds/day
Now,
(a) The probability for the water pollution to be at least 15 million pounds/day:


= 1 - P(Z < 1.178)
Using the Z score table:
= 1 - 0.881 = 0.119
The required probability is 0.119
(b) The probability when the water pollution is in between 6.2 and 9.3 million pounds/day:



P(Z < - 0.86) - P(Z < - 1.96)
Now, using teh Z score table:
0.1949 - 0.025 = 0.1699
AG and GB must be congruent and CG and GD must be congruent as well
Answer:
0.9 for the top box and 1.68 for the bottom box
Step-by-step explanation:
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The area is 3/8 yd².
Area = length x width
Given:
length = 3/4 yard
width = 1/2 yard
Area = 3/4 yd * 1/2 yd
Area = 3*1/4*2
Area = 3/8 yd²
In multiplying fractions, multiply the numerators, then, multiply the denominators. lastly, simplify the fraction. 3/8 yd² is already in its simplest form.