Answer:
58.1 and 17
Step-by-step explanation:
For the first triangles the similarity ratio is 1:7 so x is 8.3 × 7 = 58.1
For the second triangles the similarity ratio is 1:5 so x is 3.4 × 5 = 17
Answer:
78.81%
Step-by-step explanation:
We are given;
Population mean; μ = 149
Sample mean; x¯ = 147.8
Sample size; n = 88
standard deviation; σ = 14
Z-score is;
z = (x¯ - μ)/(σ/√n)
Plugging in the relevant values;
z = (147.8 - 149)/(14/√88)
z = -0.804
From z-distribution table attached, we have; p = 0.21186
P(X > 147.8) = 1 - 0.21186 = 0.78814
In percentage gives; p = 78.81%
Turn y - 4 = -2/3(x - 6) into a linear equation.
y - 4 = -2/3(x - 6)
y - 4 = -2/3x + 4
+4 +4
y = -2/3x + 8
The equation that is perpendicular to y = -2/3x + 8 is y = 3x + 4 as shown in the image below using a graph.
Answer:
f(x)=-3(x-8)(x+2)
Step-by-step explanation:
f(8)=-3(8-8)(8+2)=-3×0×10=0
f(-2)=-3(-2-8)(-2+2)=-3×(-10)×0=0
f(0)=-3×(0+8)×(0+2)=-3×8×2=-48
Answer: 30 percent of 20 is 6.
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Step-by-step explanation:
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(n/100) * 20 = 6 ?
Solve for "n" .
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Divide each side of the equation by "20" :
{ (n/100) * 20 } / 20 = 6 / 20 ;
to get:
n/100 = 6/20 ;
↔ 6/20 = n/100 ; solve for "n" ;
Look at the denominators:
20 * ? = 100 ?
100/ 20 = ? ;
100/20 = 5 ;
So, 20 * " 5" = 100 ;
Then 6* 5 = "n" (for the numerator, "n"; in : "n /100" ) ;
→ 6 * 5 = 30 ;
→ n = 30 .
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Answer: 30 percent of 20 is 6.
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