Answer:
$15. 90
Step-by-step explanation:
3% of 530= 15.9
The answer to the first question of the attached document is option 1. We obtain the answer subtracting the term n from the series with the term n-1.For example:
-3 - (- 5) = 2
-1 - (- 3) = 2
1 - (- 1) = 2
So you can see that the common difference is the 2.
The answer to the second question is option 3:
y = | x + 7 |
We can confirm it by substituting values in the equation.
For example:
if we do y = 0 then x = -7
if we do x = 0 then y = 7.
As corresponds in the graph shown.
Remember also that as a general rule yes to the equationy = | x | whose vertex is in the point (0,0) we add a positive real number "a" of form y = | x + a | then the graph of y = | x | will move "to" units in the negative direction of x.
The answer to the third question is option 4.
The quotient of x and "and" is constant.
k = y / x
Rewriting:
y = kx
You can see that it corresponds to the equation of a line that passes through the origin, this means that and is proportional to x and both vary directly
Answer:
Step-by-step explanation:
Let the speed of plane is p and speed of the wind is w.
<u>Then we have:</u>
- 10*(p + w) = 1120 ⇒ p + w = 112
- 20*(p - w) = 1120 ⇒ p - w = 56
<u>Sum the two equations and solve for p:</u>
- p + w + p - w = 112 + 56
- 2p = 168
- p = 84
<u>Find w:</u>
- 84 + w = 112
- w = 112 - 84
- w = 28
Answer:
Nico
Step-by-step explanation:
In order to compare who had the best performance on the aptitude test, we can use Z score. Z score indicates how many standard deviation a result is over the mean. For this case the higher the result is, the best is the performance on the aptitude test.
Z score is expressed with the following formula:
Z=(X-μ)/σ
Where:
X is the test score
µ is the mean
σ is the standard deviation
Replacing in the formula we obtained
For Nico:
X = 88.3
µ = 66.2
σ = 13
Z=(88.3-66.2)/13=1.7
For Justin:
X = 226.2
µ = 216
σ = 17
Z=(226.2-216)/17=0.6
For Tera:
X = 7.97
µ = 7.2
σ = 0.7
Z=(7.97-7.2)/0.7=1.1
Nico had the higher Z score which means he had the better performance on the test and he should be offered the job.
Answer:
V = 549.5 ft³
Step-by-step explanation:
The formula for the volume, V, of a cylinder of radius r and length h is
V = πr²h.
Substituting 2.5 ft for r and 28 ft for h, we get the volume
V = 3.14(2.5 ft)²(28 ft), or
V = 549.5 ft³
