Answer:
Step-by-step explanation:
(x – 4)(x – 4) = 0.
So factor are x-4=0
X=4 (D) is the answer
Answer:
And if we solve for a we got
Step-by-step explanation:
Previous concepts
Normal distribution, is a "probability distribution that is symmetric about the mean, showing that data near the mean are more frequent in occurrence than data far from the mean".
The Z-score is "a numerical measurement used in statistics of a value's relationship to the mean (average) of a group of values, measured in terms of standard deviations from the mean".
Solution to the problem
Let X the random variable that represent the hourly rates of a population, and for this case we know the distribution for X is given by:
For this part we want to find a value a, such that we satisfy this condition:
(a)
(b)
Both conditions are equivalent on this case. We can use the z score again in order to find the value a.
As we can see on the figure attached the z value that satisfy the condition with 0.80 of the area on the left and 0.20 of the area on the right it's z=0.842. On this case P(Z<0.842)=0.8 and P(z>0.842)=0.20
If we use condition (b) from previous we have this:
But we know which value of z satisfy the previous equation so then we can do this:
And if we solve for a we got
Answer:y=4x+2
Step-by-step explanation:
-4x+y=2
−4x+y+4x=2+4x
y=4x+2
y=4x+2
Answer:
y - 6 = -4(x+1) is equivalent to equation C: y = -4x + 2
Step-by-step explanation:
Solve the given y - 6 = -4(x+1) for y and remove the parentheses shown:
y - 6 = -4(x+1) becomes
y = -4(x + 1) + 6, or
y = -4x - 4 + 6, or
y = -4x + 2 This is equivalent to equation C.
Answer:
3 / 8
Step-by-step explanation:
From the tree diagram provided :
Required outcome = atleast two consecutive tails :
(HTT) ; (TTH) ; (TTT) = 3
TOTAL POSSIBLE OUTCOMES = 8
PROBABILITY = REQUIRED OUTCOME / TOTAL POSSIBLE OUTCOMES
HENCE ;
P(ATLEAST TWO TAILS IN A ROW) = 3 / 8