Find the value of x (8x-1) (4x+7)
1 answer:
Answer:
The value of x = 7
Step-by-step explanation:
Given the right triangle
- Right angle = 90°
- α = (4x+7)°
- β = (8x-1)°
- We know that the sum of angles of a triangle is 180°.
so
Right angle + α + β = 180°
90° + 4x+7 + 8x-1 = 180
Group like terms
Add similar elements: :4x+8x=12x
Divide both sides by 12
Therefore, the value of x = 7
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Danielle earned $969 last week if she sold $4,400 in electronics merchandise
<h3><u><em>Solution:</em></u></h3>Given that, Danielle earns a 7.25% commission on everything she sells at the electronics store where she works.
She also earns a base salary of $650 per week.
We have to find how much did she earn last week if she sold $4,400 in electronics merchandise?
Now, we know that, earned amount = base salary + commission
Given that she earns a 7.25% commission on everything she sells
<em><u>So commission earned for selling $ 4400 is given as:</u></em>
commission earned = 7.25 % of 4400
Earned amount = base salary + commission = 650 + 319 = 969
Hence, she earned $969 last week
Answer:
4.4722
Step-by-step explanation:
The following table shows the 36 elements of the sample space of the experiment
From this table we can compute the probabilities :
P(X = 1) = 1/36
P(X = 2) = 3/36
P(X = 3) = 5/36
P(X = 4) = 7/36
P(X = 5) = 9/36
P(X = 6) = 11/36
So the expected value equals
1P(X=1)+2P(X=2)+3P(X=3)+4P(X=4)+5P(X=5)+6P(X=6) =
= 1/36 + 6/36 + 15/36 + 28/36 + 45/36 + 66/36 = 161/36 =
4.4722