Factor x^2 + 4x - 21
2 answers:
Answer:
Step-by-step explanation:
So we want to factor the expression:
When factoring, we want to find two numbers that equals (a)(c) and add up to b. We can then substitute it for b.
So, we want two numbers that when multiplied equals (1)(-21)=-21 and adds up to 4.
We can use 7 and -3.
So:
Factor out an x from the first two terms, and a 7 from the third and fourth terms:
Grouping:
And we are done :)
You might be interested in
Y= -1/3x + 1
Please mark BRAINLEST!!
Please mark BRAINLEST!!
Answer:
Probability that their mean height is less than 68 inches is 0.0764.
Step-by-step explanation:
We are given that in the united states, the height of men are normally distributed with the mean 69 inches and standard deviation 2.8 inches.
Also, 16 men are randomly selected.
<em>Let </em><em> = sample mean height</em>
The z-score probability distribution for sample mean is given by;
Z = ~ N(0,1)
where, = population mean height = 69 inches
= population standard deviation = 2.8 inches
n = sample of men = 16
The Z-score measures how many standard deviations the measure is away from the mean. After finding the Z-score, we look at the z-score table and find the p-value (area) 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.
So, probability that the mean height of 16 randomly selected men is less than 68 inches is given by = P( < 68 inches)
P( < 68 inches) = P(
<
) = P(Z < -1.43) = 1 - P(Z
1.43)
= 1 - 0.9236 = 0.0764
<em>Now, in the z table the P(Z x) or P(Z < x) is given. So, the above probability is calculated by looking at the value of x = 1.43 in the z table which has an area of 0.92364.</em>
Therefore, probability that their mean height is less than 68 inches is 0.0764.