Answer:
d) x = 2
Step-by-step explanation:
3(x - 6) + 3 = -9
<em>open the parenthesis</em>
3x - 18 + 3 = -9
3x - 15 = -9
<em>add 15 to both sides of the equation</em>
3x - 15 + 15 = - 9 + 15
3x = -9 + 15
3x = 6
<em>divide both sides by 3</em>
3x/3 = 6/3
x = 6/3
x = 2
Answer:
$329.44
Step-by-step explanation:
$50-25= 25
25.00-2.45=22.55
299.89+22.55=322.44
322.44+7.00= 329.44
I didnt see april 15 if its supposed to be added i there just add 299.89 to the total.
Answer:
18
Step-by-step explanation:
.5 is 5 4 and below round down 5 and up round up
Answer:
a) 20.16; b) 20.49 and 21.51
Step-by-step explanation:
We use z scores for each of these. The formula for a z score is
.
For part a, we want the 20th percentile; this means we want 20% of the data to be lower than this. We find the value in the cells of the z table that are the closest to 0.20 as we can get; this is 0.2005, which corresponds with a z score of -0.84.
Using this, 21 as the mean and 1 as the standard deviation,
-0.84 = (X-21)/1
-0.84 = X-21
Add 21 to each side:
-0.84+21 = X-21+21
20.16 = X
For part b, we want the middle 39%. This means we want 39/2 = 19.5% above the mean and 19.5% below the mean; this means we want
50-19.5 = 30.5% = 0.305 and
50+19.5 = 69.5% = 0.695.
Looking these values up in the cells of the z table, we find those exact values; 0.305 corresponds with z = -0.51 and 0.695 corresponds with z = 0.51:
-0.51 = (X-21)/1
-0.51 = X-21
Add 21 to each side:
-0.51+21 = X-21+21
20.49 = X
0.51 = (X-21)/1
0.51 = X-21
Add 21 to each side:
0.51+21 = X-21+21
21.51 = X
The value of the angle m∠4 is 105 degrees.
<h3>How to find angles in a quadrilateral?</h3>
The sum of angles in a quadrilateral is 360 degrees.
Therefore,
m∠1 + m∠2 + m∠3 + m∠4 = 360°
Hence,
x + x + 10 + x + 20 + x + 30 = 360
4x + 60 = 360
4x = 360 - 60
4x = 300
x = 360 / 4
x = 75
Therefore,
m∠4 = 75 + 30 = 105°
learn more on quadrilaterals here: brainly.com/question/17178852
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