Answer:
Each check was $30.99
Step-by-step explanation:
Subtract:
$451.89 - $358.92 = $92.97
Divide:
$92.97 ÷ 3 = $30.99
This means each of the three checks were $30.99
Answer:
∠ 3 = 55°
Step-by-step explanation:
∠ 2 and ∠ 7 are corresponding angles and are congruent, then
5x - 60 = 3x + 14 ( subtract 3x from both sides )
2x - 60 = 14 ( add 60 to both sides )
2x = 74 ( divide both sides by 2 )
x = 37
∠ 2 = 3x + 14 = 3(37) + 14 = 111 + 14 = 125°
∠ 2 and ∠ 3 are adjacent angles on a straight line and sum to 180° , so
125° + ∠ 3 = 180° ( subtract 125° from both sides )
∠ 3 = 55°
I don’t know how to find unit rate I don’t even know what it means
Complete question :
a. Of less than$720?
b. Of more than $840?
c. Between $680 and $760?
Answer:
0.500 ; 0.0013 ; 0.6827
Step-by-step explanation:
Given that :
Mean, μ = 720
Standard deviation, σ = 40
P(Z < x)
x = (x < 720)
Obtain the standardized value of x
P(x < 720) = (x - μ) / σ
P(x < 720) = (720 - 720) / 40
P(x < 720) = 0
P(Z < 0) = 0.5
B.) More than $840
P(x > 840)
P(x > 840) = (x - μ) / σ
P(x > 840) = (840 - 720) / 40
P(x > 840) = 120 / 40 = 3
P(Z > 3) = 0.0013499 (Z probability calculator)
c. Between $680 and $760?
P(760 < x < 680)
P(760 < x < 680) = ((x - μ) / σ) - ((x - μ) / σ)
P(760 < x < 680) = ((760 - 720) / 40) - (680 - 720) / 40)) = P( Z < - 1) - P(Z < - 1)
P(680 < x < 760) = 0.84134 - 0.15866 = 0.68268
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Step-by-step explanation:
