Answer: $64.20
Step-by-step explanation:
Cost of shoe = $60
Sales tax rate = 7%
Sale tax = 7% × $60 = 7/100 × 60 = $4.20
The total price paid by Mary
= Cost of shoe + Sales tax
= $60 + $4.20
= $64.20
Answer: NO.
Step-by-step explanation:
As per given , we have to test the hypothesis.

∵
is two-tailed , so our test is a two-tailed test.
Also, the standard deviation is known to be 0.8 , so we use z-test.
Test statistic:
, where
= Sample mean
= population mean
= Population standard deviation
n= Sample size
Put
n= 110 , we get

P-value for two tailed test = 2P(Z>|z|)
= 2P(Z>|1.31|) = 2(1-P(Z<1.31)) [∵ P(Z>z)=1-P(Z<z)]
=2(1- 0.9049) [By z-table]
=0.1902
Decision : ∵ P-value (0.1902) > Significance level (0.02).
It means we do not reject the null hypothesis.
[When P-values < Significance level then we reject the null hypothesis.]
Conclusion : We do not have sufficient evidence at the 0.02 level that the valve does not perform to the specifications.
Answer:
Step-by-step explanation:
l = 34 cm
height = 30 cm
radius = 16 cm
surface area of cone = πr (l +r)
=3.14 *16 (34 + 16)
=50.24*50
=2512 cm^2
volume of a cone =
πr^2h
=
*3.14*16^2 *30
=1.0466*256*30
=8037.888
=8037.89 cm^3
1 and 5 are corresponding angles (need to be on same side of the transversal)