Simplify 3x - 5 + 12x - 4x + 14 to 11x + 9
11x + 9 = 86
Subtract 9 from both sides
11x = 86 - 9
Simplify 86 - 9 to 77
11x = 77
Divide both sides by 11
x = 77/11
Simplify 77/11 to 7
<u>x = 7</u>
Answer:
Test statistic = -2.44
There is enough evidence to support the strategist's claim.
Step-by-step explanation:
H0 : p = 0.41
H1 : p < 0.41
pˆ = 0.38
Test statistic :
z=pˆ−p/√p(1−p)/n
Z = (0.38 - 0.41) / √(0.41(1 - 0.41) / 1600
Z = - 0.03 / √0.0001511875
Z = - 0.03 / 0.0122958
Z = - 2.4399
Test statistic = -2.44
The Pvalue :
P(Z < -2.44) = 0.0073436
α - level = 0.02
If Pvalue < α ; Reject H0
0.0073436 < 0.02 ; We reject H0
Since Pvalue < α ; Hence, There is enough evidence to support the strategist's claim.
Answer:
John I did my phone in a while and my mom did it I was so
Step-by-step explanation:
Answer:
$46.72
Step-by-step explanation:
The first step is to find the price of 1 gallon
5 gallons= 14.46
1 gallon= x
5x= 14.46
x= 14.46/5
1 gallon= $2.92
Therefore the cost of 16 gallons of gasoline can be calculated as follows
1 gallon= 2.92
16= x
x= 2.92 × 16
= $46.72
Answer:
A: 779 cm²
B: 1837 cm²
Step-by-step explanation:
For both problems, use the formula for surface area of a cylinder:
SA = 2πr² + 2πrh
2πr² is the two bases.
2πrh is the curved surface.
<u>PROBLEM A</u>
"the cylinder is 60 cm long" is h = 60.
If given diameter, you can find "r" by dividing it by 2. d = 2r
Given d = 4, then r = 2.
SA = 2πr² + 2πrh
SA = 2π2² + 2π2(60)
SA = 8π + 240π Add
SA = 248π Exact answer
SA ≈ 779.114978 Answer on calculator
SA ≈ 779 Rounded answer
Remember to include the units.
The surface area is about 779 cm².
<u>PROBLEM B</u>
"80 cm long" h = 80.
"circumference of 22 cm". C = 22. Remember C = 2πr. Find "r".
C = 2πr
22 = 2πr
11 = πr
r ≈ 11/π
SA = 2πr² + 2πrh
SA = 2π(11/π)² + 22(80) Substitute 2πr with the circumference.
SA ≈ 1837.030992 Answer on calculator
SA ≈ 1837 Rounded answer
Remember to include the units.
The surface area is about 1837 cm².
