Nope. Your problem is not irrational
Answer:
Length: 11 meters
Width: 8 meters
Step-by-step explanation:
11 + 11 + 8 + 8 = 38
8 + 8 = 16
16 - 11 = 5
Answer:
H0: μd=0 Ha: μd≠0
t= 0.07607
On the basis of this we conclude that the mean weight differs between the two balances.
Step-by-step explanation:
The null and alternative hypotheses as
H0: μd=0 Ha: μd≠0
Significance level is set at ∝= 0.05
The critical region is t ( base alpha by 2 with df=5) ≥ ± 2.571
The test statistic under H0 is
t = d/ sd/ √n
Which has t distribution with n-1 degrees of freedom
Specimen A B d = a - b d²
1 13.76 13.74 0.02 0.004
2 12.47 12.45 0.02 0.004
3 10.09 10.08 0.01 0.001
4 8.91 8.92 -0.01 0.001
5 13.57 13.54 0.03 0.009
<u>6 12.74 12.75 -0.01 0.001</u>
<u>∑ 0.06 0.0173</u>
d`= ∑d/n= 0.006/6= 0.001
sd²= 1/6( 0.0173- 0.006²/6) = 1/6 ( 0.017294) = 0.002882
sd= 0.05368
t= 0.001/ 0.05368/ √6
t= 0.18629/2.449
t= 0.07607
Since the calculated value of t= 0.07607 does not falls in the rejection region we therefore accept the null hypothesis at 5 % significance level . On the basis of this we conclude that the mean weight differs between the two balances.
Answer:
Purchase rate = 553.18 U.S dollar
Selling rate = 547.90 U.S dollars
Step-by-step explanation:
Purchase rate
1 U.S. dollar = NRs.103.72
Selling rate
1 U.S. dollar = NRs.104.32
How many American dollar can be exchanged withNRs.57, 376
Purchase rate
1 U.S. dollar = NRs.103.72
Amount of U.S. dollar = NRs.57, 376 / NRs.103.72
= 553.18164288468
Approximately
553.18 U.S dollar
Purchase rate = 553.18 U.S dollar
Selling rate
1 U.S. dollar = NRs.104.32
Amount of U.S. dollar = NRs.57, 376 / NRs. 104.32
= 547.89915966386
Approximately,
547.90 U.S dollars
Selling rate = 547.90 U.S dollars
You know that the sum of the interior angles in a triangle is 180
we will add all the angles,
(x+8)+(2x-8)+(3x-12)=180
x+8+2x-8+3x-12=180 8 and -8 cancel out
6x-12=180
6x=180+12
6x=192
x=192/6=32
x=32
