If the year is 52 weeks long (the average amount of weeks in a year).
$350.00*52= $18,200.00
$1200.00*12= $14,400.00
2.5% of 1,000,000=25,000
2% of 1,000,000=20,000
$18,200.00+20,000= $38,200.00
$14,400.00+25,000= $39,400.00
The second (2nd) job pays better.
Answer:
The probability is
Step-by-step explanation:
From the question we are told that
The probability of the television passing the test is p = 0.95
The sample size is n = 10
Generally the comprehensive testing process for all essential functions follows a binomial distribution
i.e
and the probability distribution function for binomial distribution is
Here C stands for combination hence we are going to be making use of the combination function in our calculators
Generally the probability that at least 9 pass the test is mathematically represented as
=>
=>
=>
Width = x
Length = x+18
Assuming the table is rectangular:
Area = x(x + 18)
Therefore:
x(x + 18) <span>≤ 175
x^2 + 18x </span><span>≤ 175
Using completing the square method:
x^2 + 18x + 81 </span><span>≤ 175 + 81
(x + 9)^2 </span><span>≤ 256
|x + 9| </span><span>≤ sqrt(256)
|x + 9| </span><span>≤ +-16
-16 </span>≤ x + 9 <span>≤ 16
</span>-16 - 9 ≤ x <span>≤ 16 - 9
</span>-25 ≤ x <span>≤ 7
</span><span>
But x > 0 (there are no negative measurements):
</span><span>
Therefore, the interval 0 < x </span><span>≤ 7 represents the possible widths.</span><span>
</span>
Step-by-step explanation:
to write a line equation we need minimum of two points. basicaly a line is written in the form y=mx+c where, m is the slope of the line and c is the intercept made by the line on x-axis (OR) or if two points (x1,y1) and (x2,y2) are given then we can form a line equation as (y-y1)= (y2-y1)*1/(x2-x1) *x-x1 (OR) (y-y2)= (y2-y1)*1/(x2-x1) *x-x2
Answer:
<ACB is supplementary to the < ECD by the definition of supplementary angles. Therefore the first part of your answer is <ACB = <ECD
We know that similar triangles have the same corresponding angle measurements for their angles and therefore one of the triangles is just a scaled up or down version of the original. Triangle EDC is a scaled down version of ABC. Therefore, the corresponding sides of triangle ECD have the same ratio to the corresponding sides of ABC. For example line segment EC and BC are corresponding line segment and lets find the ratio: 14/21 = 2/3
THe ratio of EC to BC is 2/3 and the ratio of CD to AC is also 2/3 (18 / 27=2/3)
Therefore, CE / BC is equal to DC / AC
Your full answer is
<ACB = <ECD, CE / BC = DC / AC
So triangle ABC ~ triangle CDE
Step-by-step explanation: