Answer:
x < -4.5
Step-by-step explanation:
<u>Step 1: Solve for x</u>
-10x / -10 > 45 / -10
When dividing or multiplying by a negative, the sign flips.
x < -4.5
Answer: x < -4.5
Answer:
0.06
Step-by-step explanation:
Answer:
The domain is all real numbers
Triangle ABC:
m∠A = x° (m∠A is represented by x°)
m∠B = (4x)° (m∠B is 4 times greater than m∠A, you know m∠A is x°, so it is (4x)°)
m∠C = (5x - 30)° (m∠C is 30° less than five times m∠A, so it is (5x - 30)°)
A triangle is 180°, so the angles in the triangle should add up to 180°
The second option is FALSE, so everything else is true
Answer:
A.0.4477
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 problem, we have that:

What is the probability that a randomly selected exam will require between 14 and 19 minutes to grade?
This probability is the pvalue of Z when X = 19 subtracted by the pvalue of Z when X = 14. So
X = 19



has a pvalue of 0.7389.
X = 14



has a pvalue of 0.2912
0.7389 - 0.2912 = 0.4477
So the correct answer is:
A.0.4477