Domain are the x values
It would be d) -6, -4, -1, 4
<4 and <2 corresponding angles
<6 and <3 alternate interior angles
<4 and <5 alternate exterior angles
<6 and <7 interior angles on the same side of transversal
Answer:
d. 15
Step-by-step explanation:
List the exponents of each of the prime factors. Here, they are 3, 1, 1.
Add 1 to each of these values and form the product of these sums:
(4)(2)(2) = 16
This is the number of divisors of the number. Since 1 is included in this count, 15 of the divisors are greater than 1.
Answer:
11 1/4- pounds hamburgers can be made from 2 and 3/4 pounds of ground beef.
Step-by-step explanation:
Here, the amount of beef uses in 1 hamburger = 1/4 pound = 0.25 pounds
Total amount of beef available = 2 3/4 pounds
Now, solving the mixed fraction,we get
So, the total available beef = 2.75 pounds
Now, 
= 
So, <u>the total number of hamburgers made = 11 </u>
Hence, 11 1/4- pounds hamburgers can be made from 2 and 3/4 pounds of ground beef.
Answer:
82.88%
Step-by-step explanation:
Given that:
Mean (μ) = 16.7 pounds
Standard deviation (σ) = 3.8 pounds
Number of pounds eaten = 11.5 = x
P(11.5 ≥ x ≤11.5)
P(x ≤ 11.5) :
Zscore = (x - μ) / σ
Zscore = (11.5 - 16.7) / 3.8
Zscore = - 5. 2 / 3.8
Zscore = −1.368421
P(Z ≤ - 1.3684) = 0.085593 (Z probability calculator)
P(x ≥ 11.5) ;
Zscore = (x - μ) / σ
Zscore = (11.5 - 16.7) / 3.8
Zscore = - 5. 2 / 3.8
Zscore = −1.368421
P(Z ≥ - 1.3684) = 0.91441 (Z probability calculator)
P(Z ≥ - 1.3684) - P(Z ≤ - 1.3684)
0.91441 - 0.085593 = 0.828817
0.828817 * 100% = 82.88%
