8). x=(-1+√22)/2 , x=(-1-√22)/3
9). x=(1+√5)/2 , x=(1-√5)/2
10). x=3 , 1/4
11). x=1/3 , -1
12). x=2+2√3 , 2-2√3
10=2×5 and 14=2×7 so least common denominator will be 2×5×7=70
9/10=63/70
3/14=15/70
So 63/70-15/70=48/70=24/35
If the animal does not have 4 paws, then it is not a cat
Answer:
When we have a number like:
1.0x10^n
To rewrite this in standard form, we need to:
if n is positive, we move the decimal point n times to the right, adding zeros when necessary.
1.0x10^3
n = 3. then we add 3 zeros between the one and the decimal point, this is:
1.0x10^3 = 1000
if n< 0, then we move the decimal point n times to the left.
If we had:
1.0x10^-3
We move the decimal point 3 times to the left, adding zeros as this is needed.
1.0x10^-3 = 0.001
if n = 0, we have:
1.0x10^0 = 1.0
Now let's rewrite all the given numbers:
A) 3.4x10^-1 = 0.34
B) 1.36x10^6 = 1360000
C) 7.9x10^0 = 7.9
D) 2.4x10^5 = 240000
E) 5.21x10^-3 = 0.00521
F) 4.3x10^-2 = 0.043
Answer:
1.
A. H0 : μ1 = μ2 = μ3
Ha : μ1 ≠ 2μ ≠ μ3
2. Test Statistics = 95%
3. Critical F-Value = 3.76
4. P-Value = 2.32
5. Conclusion : Reject the null hypothesis
6. Type of vehicle does effect the amount of green house gas emissions.
Step-by-step explanation:
The correct order of the steps of a hypothesis test is given following
1. Determine the null and alternative hypothesis.
2. Select a sample and compute the critical value F-test for the sample mean.
3. Determine the probability at which you will conclude that the sample outcome is very unlikely.
4. Make a decision about the unknown population.
These steps are performed in the given sequence to test a hypothesis.
The null hypothesis is rejected or accepted on the basis of level of significance. When the p-value is greater than level of significance we fail to reject the null hypothesis and null hypothesis is then accepted. It is not necessary that all null hypothesis will be rejected at 95% level of significance. To determine the criteria for accepting or rejecting a null hypothesis we should also consider p-value.
