Answer:
2 sides and angle between them are congruent to the same 2 sides and angle on the other triangle
Step-by-step explanation:
Given that the production of n stalks of corn planted has been modeled by (2n^2-2n), then the approximate ears of corn produced by 3 stalks will be given by:
2n^2-2n
plugging in n=3 in the formula we get:
2(3)^2-2(3)
simplifying we get:
2(9)-6
=18-6
=12
the answer is: 12 ears
Answer:
0.394 = 39.4% probability that a randomly chosen light bulb will last less than 1380 hours
Step-by-step explanation:
Problems of normally distributed samples are solved using the z-score formula.
In a set with mean
and standard deviation
, the zscore of a measure X is given by:

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.
In this question, we have that:

What is the probability that a randomly chosen light bulb will last less than 1380 hours, to the nearest thousandth?
This is the pvalue of Z when X = 1380. So



has a pvalue of 0.394
0.394 = 39.4% probability that a randomly chosen light bulb will last less than 1380 hours
Answer:
f^-1 = 4(x-3)
Step-by-step explanation:
If f(x) = 1/4(x) + 3 we ned to find f^-1.
To find the inverse function, we need to solve the equation for "x", as follows:
f(x) = 1/4(x) + 3
y = 1/4(x) + 3
y-3 = 1/4(x)
4(y-3) = x
Now, change the "x" for an "y". And change the "y" for an "x":
4(x-3) = y
The solution is the last one.
Answer:
12 yes 21 yes 23 no 30 yes 33 no 45 no
Step-by-step explanation: