Given:
In triangle XYZ, x = 27 cm, y = 79 cm and 
.
To find:
The length of z.
Solution:
In triangle XYZ, using the Law of cosine, we get
Putting the given values in the above formula, we get
Taking square root on both sides.
Approx the above value to the nearest number and side length cannot be negative. So,
Therefore, the length of z is about 102 cm.
The value of P(G<2.5) is 14.23%.
What is observation?
The active gathering of data from a primary source is observation. Observation of living things makes use of the senses. Using scientific tools to perceive and record data is another way that observation may be used in science.
The 
-score for this observation of 2.30 is:
Z= (2.3-2.8)/0.7=-1.71
The table shows a value of 0.8577 , and because this z-score is negative, this is the proportion greater than a GPA of 2.30. So the proportion less than 2.30 is 1-0.8577 =0.1423 . Expressing it mathematically we have:
To learn more about proportion visit:brainly.com/question/28041973
#SPJ1
Answer: He made $90 last week.
Assumption :
Let, Luis made $X last week.
He made $72 this week which is 80% of $X that he made last week
⇒ X * 80% = 72
⇒ X * 80/100 = 72
⇒ X = (72 * 100)/80
⇒ X = 90
Therefore, he made $90 last week.
To remember :
While solving this type of problems, be careful to understand which one of last time and current time is not given; just assume that one and input other conditions, the problem will be solved.
The answer is <span>25; it represents the hourly wage for the worker
</span>
<span> y = 8x + 25
x is hours
y depends on x hours so y-intercept represent the hourly wage.
The y-intercept is y when x = 0:
y = 8x + 25
x = 0
____
y = 8 * 0 + 25
y = 0 + 25
y = 25</span>
Answer:
Basicallly, if the machine packs 2/3 of a box every 1/2 min, then the machine will pack twice as many boxes for 1 min, since 1/2 multiplied with 2 is 1.
2/3 multiplied with 2 is 4/3.
Therefore, the machine can pack 4/3 boxes per minute.
(what my research says)
