Answer:19
Step-by-step explanation:
Because there is 5 stripped shirts +8 solid shirts +6 polka dot shirts=19 shirts in total.
Answer:
x ≥ 21.5/19
Step-by-step explanation:
-1.5(4x + 1) ≥ 45 - 25(x + 1)
-6x - 1.5 ≥ 45 - 25x - 25
-6x + 25x ≥ 45 - 25 + 1.5
19x ≥ 21.5
x ≥ 21.5/19
For a population with mean (μ) = 100 and standard deviation (σ) = 20, the X value corresponding to z = 1.50 is 130.
<h3>What is a z-score?</h3>
A z-score is also referred to as a standard score and it's a measure of the distance between a raw score and the mean, when standard deviation units are used.
<h3>How to determine the value of x?</h3>
In Statistics, the standardized z-score is giving by this formula:
Making x the subject of formula, we have:
x = Zσ + μ
Substituting the given parameters into the formula, we have;
x = 1.50(20) + 100
x = 30 + 100
x = 130.
Read more on z-scores here: brainly.com/question/4302527
#SPJ4
Complete Question:
For a population with μ= 100 and σ = 20, what is the X value corresponding to z = 1.50?
30
101.5
115
130
It cannot simplified further as 17 is a prime number
Answer:
FG = 39
Step-by-step explanation:
From the question given:
FH = 9x + 15
GH = 5x + 4
FG = ?
From the question given above, we can say that G is the midpoint of FH. This implies that:
FH = FG + GH
With the above idea in mind, we can obtain FG as follow:
FH = 9x + 15
GH = 5x + 4
FG = ?
FH = FG + GH
9x + 15 = FG + 5x + 4
Rearrange
FG = 9x + 15 - 5x - 4
FG = 9x - 5x + 15 - 4
FG = 4x + 11
Next, we shall determine the value of x. This can be obtained as follow:
Since G is the midpoint of FH, it therefore means that FG and GH are equal i.e
FG = GH
With the above idea in mind, we can obtain the value of x as follow:
FG = 4x + 11
GH = 5x + 4
FG = GH
4x + 11 = 5x + 4
Collect like terms
11 - 4 = 5x - 4
7 = x
x = 7
Thus, we can obtain the value of FG as follow:
FG = 4x + 11
x = 7
FG = 4x + 11
FG = 4(7) + 11
FG = 28 + 11
FG = 39
***Check ***
FH = 9x + 15
x = 7
FH = 9(7) + 15 = 63 + 15 = 78
GH = 5x + 4
x = 7
GH = 5(7) + 4 = 35 + 4 = 39
FG = 4x + 11
x = 7
FG = 4(7) + 11 = 28 + 11 = 39
FH = FG + GH
FH = 78
FG = 39
GH = 39
FH = FG + GH
78 = 39 + 39
78 = 78
