Answer:
The inverse is ±sqrt((x-1))/ 4
Step-by-step explanation:
y = 16x^2 + 1
To find the inverse, exchange x and y
x = 16 y^2 +1
Then solve for y
Subtract 1
x-1 = 16 y^2
Divide by 16
(x-1)/16 = y^2
Take the square root of each side
±sqrt((x-1)/16) = sqrt(y^2)
±sqrt((x-1))/ sqrt(16) = y
±sqrt((x-1))/ 4 = y
The inverse is ±sqrt((x-1))/ 4
To find the mean you must add up all the numbers you have together and then divide the buy the amount of numbers you added. When you add these numbers up you get 30, and we have 5 numbers here, when we divide 30 by 5 we get 6. So, Tara is correct in saying that the mean is 6.
Answer:
y=5x
Step-by-step explanation:
Given no of bags is x
No of apples in each bag is 5
Thus no of apples in x bags can be obtained by multiplying no of bags(x in this case) with No of apples in each bag (5 in this case).
Total no of apples in x bag = 5*x = 5x
As y represent relationship between number of apples and bag. 5x will be equal to y.
it can be represented as y = 5x
Thus equation A y=5x shows the relationship between the number of apples, y, and the number of bags, x
Answer:
The approximate probability that the mean of the rounded ages within 0.25 years of the mean of the true ages is P=0.766.
Step-by-step explanation:
We have a uniform distribution from which we are taking a sample of size n=48. We have to determine the sampling distribution and calculate the probability of getting a sample within 0.25 years of the mean of the true ages.
The mean of the uniform distribution is:
The standard deviation of the uniform distribution is:
The sampling distribution can be approximated as a normal distribution with the following parameters:
We can now calculate the probability that the sample mean falls within 0.25 from the mean of the true ages using the z-score:
Given the the two angles find the missing angle of P which is 30 degrees.
Since angle P and C are identical their sides are congruent.
The hypotenuse, the largest side is PC because it corresponds to angle T
Using Pythagorean Theorem
a^2 + b^2 = c^2
(PT)^2 + (CT)^2 = (PC)^2
Given that PT is 4 and knowing PT and CT are congruent we can rewrite this
(4)^2 + (4)^2 = (PC)^2
PC = rad(32)
Someone fact check plz
