Answer:
The answer is: C. $1407.50
Step-by-step explanation:
Buying:
30 * $20.95 + 20 * $25.50 =
$628.50 + $510 = $1138.
Selling:
50 * $28.75 = $1437.50
Remaining Cash:
$1437.50 - $30 = $1407.50
(This answer assumes Jen paid the other $30 per transaction when she bought the original shares, but had to pay $30 when she sold the shares.)
Answer:
The standard deviation of that data set is 3.8
Step-by-step explanation:
The Empirical Rule states that, for a normally distributed random variable:
68% of the measures are within 1 standard deviation of the mean.
95% of the measures are within 2 standard deviation of the mean.
99.7% of the measures are within 3 standard deviations of the mean.
In this problem, we have that:
Mean = 55
95% of the data fall between 47.4 and 62.6. This means that 47.4 is 2 standard deviations below the mean and 62.6 is two standard deviations above the mean.
Using one of these points.
55 + 2sd = 62.6
2sd = 7.6
sd = 7.6/2
sd = 3.8
The standard deviation of that data set is 3.8
Answer:
Step-by-step explanation:
It is given that:
And we have to find the value of 
As per trigonometric identities, the relation between 
can represented as:
Putting 
in place of 
Because we are given
Putting value of cosine:
It is given that is in 2nd quadrant and value of sine is always positive in 2nd quadrant. So, the answer is.
Answer: a) Length of wire to replace old one=9ft
b) Length of wire=3.09ft
Leftover wire=0.91ft
Step-by-step explanation: from the right angle triangle, Tan&=20/15
&=53.13°
Length of wire,x=cos 31.13=x/15
15cos31.13
X=9
b) Tan&=10/6
Tan^-110/6
&=59.05
Length= 6cos59.04
X=3.09
4-3.09=.91= leftover wire
Answer: <span>w = [ y + 1] / [a + 2]
Solution step by step:
</span>
1) given <span>formula: y-aw=2w-1
2) transpose aw and - 1
2w + aw = y + 1
3) common factor w:
w (a + 2) = y + 1
4) divide both sides by (a + 2):
w = [ y + 1] / [a + 2]
</span>
