Answer:m(.70)+80(.25)=.6(m+80)
.7m+20=.6m+48
.1m=28
m=28/.1=280 gallons of 25% antifreeze needed
Step-by-step explanation:
Answer:
The perimeter is 66.9 units
Step-by-step explanation:
See the attached figure with letters to better understand the problem
step 1
In the right triangle ABD
<em>Find the length side AD</em>
----> by TOA (opposite side divided by the adjacent side)

Find the length side BD
---> by SOH (opposite side divided by the hypotenuse)

step 2
In the right triangle CDE
Find the length side CE
--> by CAH (adjacent side divided by the hypotenuse)
we have

substitute

Find the length side DE
--> by TOA (opposite side divided by the adjacent side)

step 3
Find the perimeter of the figure
The perimeter is equal to

substitute the values

Y-intercept happens when the x-coordinate equals zero
Subtitute x with 0 from the equation
<span>3x - 2y = 6
3(0) - 2y = 6
0 - 2y = 6
-2y = 6
y = 6/-2
y = -3
The y-intercept is -3</span>
Answer:
x=37 CD=20
Step-by-step explanation:
We know this becuase the two triangles are congruent.
Answer:
The value is c = 21.1445.
Step-by-step explanation:
Normal Probability Distribution:
Problems of normal distributions can be solved using the z-score formula.
In a set with mean
and standard deviation
, the z-score 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 p-value, we get the probability that the value of the measure is greater than X.
The weight distribution of parcels sent in a certain manner is normal with mean value 12lb and standard deviation 3.5 lb.
This means that 
What value of c is such that 99% of all parcels are at least 1 lb under the surcharge weight?
This 1 added to the value of X for the 99th percentile, which is X when Z has a p-value of 0.99, so X when Z = 2.327.




1 + 20.1445 = 21.1445
The value is c = 21.1445.