Answer:
Z = 6
Step-by-step explanation:
Z/12 = Cos(60°)
Z/12 = 1/2
Answer:
Range = 13
Mean = 8.4
Variance= 21.24
Standard deviation= 4.61
Step-by-step explanation:
2, 10, 15, 3, 13, 9, 14, 7, 2, 9
For the range
Let the set of data be arranged inn ascending order
Range= higehest value- lowest value
Range = 15-2
Range= 13
For the mean
Mean = (2+2+3+7+9+9+10+13+14+15)/10
Mean = 84/10
Mean = 8.4
For variance
Variance=((2-8.4)²+(2-8.4)²+(3-8.4)²+(7-8.4)²+(9-8.4)²+(9-8.4)²+(10-8.4)²+(13-8.4)²+(14-8.4)²+(15-8.4)²)/10
Variance= (40.96+40.96+29.16+1.96+0.36+0.36+2.56+21.16+31.36+43.56)/10
Variance= 212.4/10
Variance= 21.24
Standard deviation= √variance
Standard deviation= √21.24
Standard deviation= 4.609
Approximately = 4.61
i need the terms and definitions to answer this-
Answer:
Because the p-value of 0.0828 is greater than the significance level of 0.05, we fail to reject the null hypothesis. We conclude the data provide convincing evidence that the mean amount of soda in all the bottles filled that day does not differ from the target value of 300 milliliters.
Step-by-step explanation:
The null hypothesis is that the sample mean does not differ from the population mean.
If p < α, we reject the null hypothesis.
If p > α, we do not reject the null hypothesis.
p values are between 0 and 1.
Step-by-step explanation:
the second and the 6th options keep the same graph but shift it to the left.
the other options :
the first option changes the graph (the factor -2 stretched and flips the graph).
the third and the 5th options shift the graph up and down. but not to the left.
the 4th option shifts it to the right.
when you add a constant inside the x terms, you shift to the left.
when you subtract a constant inside the x terms, you shift to the right.
e.g. when having f(x+2), then everything, that should happen at x+2 happens already at x. 2 units earlier, and therefore a shift to the left.
in the other direction, f(x-2) makes everything that should have happened at x-2 happen finally at x. so, everything shifts 2 units to the right.
