Answer:
Step-by-step explanation:
<em>Note: 3x + 8 is incorrect as leads to negative value for the length. Therefore changed to 3x - 8</em>
<em>------------------------------------------------</em>
- DE is midsegment
- Midsegment = 1/2 Base as per definition, DE = 1/2AC
<u>Substitute values</u>
- 3x - 8 = 1/2(4x + 10)
- 3x - 8 = 2x + 5
- 3x - 2x = 5 + 8
- x = 13
DE = 3*13 - 8 = 31
You can either graph the two lines on an online graphing website and find where they intersect.
If you aren't allowed to do so, just plug in one equation into the other.
y=3x+12, so plug in y into 2y= -x-11.
Then you get 2(3x+12)=-x-11.
Distribute to get 6x+24= -x-11
At this point I hope you can solve for x by yourself, but if you can't, here's how:
7x+24=-11
7x=-25
x=
To find y, plug in x into either equations: <span>2y= -x -11 and y=3x + 12.
</span>You get about -3.714
So coordinate of interesection=
, -3.714
165 / 11 = 15 22/11= 2 so 11 is the least common multiple
Answer:
The probability is
Step-by-step explanation:
From the question we are told
The population proportion is
The sample size is
The number of graduate who had job is k = 209
Generally given that the sample size is large enough (i.e n > 30) then the mean of this sampling distribution is
Generally the standard deviation of this sampling distribution is
=>
=>
Generally the sample proportion is mathematically represented as
=>
=>
Generally probability of obtaining a sample proportion as low as or lower than this, if the university’s claim is true, is mathematically represented as
From the z table the area under the normal curve to the left corresponding to -3.022 is
=>
Answer:
The answer is 25
Step-by-step explanation: