Answer:
<h2>
14.7 %</h2>
Step-by-step explanation:
let us total the amount in her portfolio
Company A was worth $2690
Company B was worth $2980.
Total = $5670
when The stock in Company A decreases by 20% she will have
$2690 *0.8= $2152
Company A will worth $2152
when The stock in Company B decreases by 10% she will have
$2980 *0.9= $2682
Company A will worth $2682
In all after the decline in are portfolio is $2152+$2682= $4834
the difference for the original amount in her investment is = $5670-$4834
= $836
The total percentage decrease in the investor's stock account
= (836/5670)*100= 0.147*100= 14.7 %
Answer:
40 bats sold for $42
26 bats sold for $30
Step-by-step explanation:
x + y = 66
42x + 30y = 2460
solve first equation for y and plug in for y in second equation
42x + 30 (66 - x) = 2460
x = 40
y = 66- 40 = 26
Answer:
a) 0.3277
b) 0.0128
Step-by-step explanation:
We are given the following information in the question:
N(2750, 560).
Mean, μ = 2750
Standard Deviation, σ = 560
We are given that the distribution of distribution of birth weights is a bell shaped distribution that is a normal distribution.
Formula:
a) P (less than 2500 grams)
P(x < 2500)
Calculation the value from standard normal z table, we have,
b) P ((less than 1500 grams)
P(x < 1500)
Calculation the value from standard normal z table, we have,
<u><em>Answer:</em></u>
SAS
<u><em>Explanation:</em></u>
<u>Before solving the problem, let's define each of the given theorems:</u>
<u>1- SSS (side-side-side):</u> This theorem is valid when the three sides of the first triangle are congruent to the corresponding three sides in the second triangle
<u>2- SAS (side-angle-side):</u> This theorem is valid when two sides and the included angle between them in the first triangle are congruent to the corresponding two sides and the included angle between them in the second triangle
<u>3- ASA (angle-side-angle):</u> This theorem is valid when two angles and the included side between them in the first triangle are congruent to the corresponding two angles and the included side between them in the second triangle
<u>4- AAS (angle-angle-side):</u> This theorem is valid when two angles and a side that is not included between them in the first triangle are congruent to the corresponding two angles and a side that is not included between them in the second triangle
<u>Now, let's check the given triangles:</u>
We can note that the two sides and the included angle between them in the first triangle are congruent to the corresponding two sides and the included angle between them in the second triangle
This means that the two triangles are congruent by <u>SAS</u> theorem
Hope this helps :)
Answer:
<u>(2) x </u><u> 4</u>
Step-by-step explanation:
Given the sqrt(x), x zero
So, given sqrt(x -4), x -4 0
Now solve for x
x - 4 0
x 4