Answer:
A) Irrational, because it is not a terminating or repeating decimal.
Step-by-step explanation:
Every time a square root results in a decimal, it will always never end, and never repeat. The square root of 35 qualifies for both of these qualities, therefore, making the answer (A). Hope this helps!
Since the figures are similar, we can establish a rule of three as follows.
We know that the area of the smaller figure is

, and its volume is

. We also know that the area of the larger figure is

; since we don't now its volume, lets represent it with

:



We can conclude that the volume of the larger figure is

; therefore, the correct answer is
a.
Answer:
The minimum score required for admission is 21.9.
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:

A university plans to admit students whose scores are in the top 40%. What is the minimum score required for admission?
Top 40%, so at least 100-40 = 60th percentile. The 60th percentile is the value of X when Z has a pvalue of 0.6. So it is X when Z = 0.255. So




The minimum score required for admission is 21.9.
Answer:
b
Step-by-step explanation:
Answer:
$25.25-lasagna, $12.25-garlic bread
Step-by-step explanation:
5L+3G=163
- 4L+4G=150
______________
4(5L+3G=163)
-5(4L+4G=150)
_____________
20L+12G=652
-20L-20G=-750
_____________
-8G=-98
-8G/-8 = -98/-8
G=$12.25
now plug that into G in any of the 2 equations at the top and you can solve for L(price of lasagna)