1st pic
Triangle
prism
a triangular end with a base of 27 mm and a height of 23 mm.
the length of each side is 56 mm and the width of each side
is 27 mm
SA=bh+(s1+s2+s3)H
SA=(27)(23)+(27+27+27)(56)
SA= 621 + 4536
SA=5157 mm^2
V = ½ blh
V = ½ (27)(23)(56)
<span>V = 17388 mm^3</span>
2nd pic
Cone
SA = πr(r + √(h^2 + r^2) (r = 4, h = 7)
SA = 4π (4 + √(7^2 + 4^2))
SA = 4π (4 + √(49 + 16))
SA = 4π (4 + √65 )
SA = 16π + 4√65
V = 1/3 πr^2h (r = 4, h = 7)
V = 1/3 π (4^2)(7)
V = 112/3 π
V = 37 1/3 π
3rd pic
sphere:
SA = 4 <span>π r^2 as you know r = 14/2 = 7
SA = 4</span>π(7^2) = 4π(49) = 196<span>π m^2
V = 4/3</span><span>πr^3
V = 4/3</span><span>π(7^3)
V = 4/3</span><span>π(343)
V = 1372/3 </span><span>π
V = 457 1/3 </span><span>π m^3
</span><span>
</span>
Answer:
(A) T-stat = 1.82
(B) Critical value is 1.645
(C) Yes, there is sufficient evidence to reject the null hypothesis using a 0.05 significance level.
Step-by-step explanation:
(A) T-stat (z) = (sample mean - population mean) ÷ sd/√n
sample mean = 3850 bus miles
population mean = 3800 bus miles
sd = 275 bus miles
n = 100
z = (3850 - 3800) ÷ 275/√100 = 50 ÷ 275/10 = 50 ÷ 27.5 = 1.82
(B) The test is a one-tailed test. The critical value is obtained from the standard normal distribution table. The critical value using a 0.05 significance level is 1.645
(C) Null hypothesis: The bus mechanical reliability is 3850 bus miles.
Alternate hypothesis: The bus mechanical reliability is less than 3850 bus miles.
Conclusion:
There is sufficient evidence to reject the null hypothesis because the test statistic (1.82) is greater than the critical value (1.645)
Answer:
A lengthy is 89yards and the width is 45yards
Answer:
x = -201/80
Mixed form: x = -2 41/80
Step-by-step explanation: