Answer:
5:4
Step-by-step explanation:
separate katherine into consonants:
kthrn
and vowels:
aeie
there are 5 consonants and 4 vowels, so the ratio is 5:4.
Move constant to other side
add 1
4c^2-8c=1
divide by 4 to make leading coeficient 1
c^2-2c=1/4
take 1/2 of linear coeficient and square it
-2/2=-1, (-1)^2=1
add that to both sides
c^2-2c+1=1/4+1
factor perfect squaer and add
(c-1)^2=5/4
square root both sides
c-1=+/-(√5)/2
add 1
c=1+/-(√5)/2
c=2.12 or -0.12
Answer:
you can do 3 x 6 + 8 - 2
Step-by-step explanation:
3 × 6= 18
+8= 26
-2= 24
hope this Helps :)
Answer:
<h2>S.A. = 234 mm²</h2>
Step-by-step explanation:
The formula of a surface area of a rectangular prism:

l - length
w - width
h - height
We have l = 15 mm, w = 3 mm, h = 4 mm. Substitute:

Answer:
Weights of at least 340.1 are in the highest 20%.
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. Highest 20 percent
At least X
100-20 = 80
So X is the 80th percentile, which is X when Z has a pvalue of 0.8. So X when Z = 0.842.




Weights of at least 340.1 are in the highest 20%.