Answer:
Use khan academy for the graph.
Step-by-step explanation:
A. 1/5k - 2/3j and -2/3j + 1/5k
Step-by-step explanation:
Equivalent expressions are expressions that are the same even though they may appear different.When you plug in a value to represent a variable in these expression, they will give same answer when simplified.
In
1/5k - 2/3j and -2/3j + 1/5k you notice the operation signs in the terms has been maintained though the position of the terms shifted.
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Answer:
The p value for this case would be given by:
For this case since the p value is higher than the significance level we have enough evidence to FAIL to reject the null hypothesis and we can conclude that the true mean is not significantly different from 31.3 MPG
Step-by-step explanation:
Information given
represent the sample mean
represent the population standard deviation
sample size
represent the value that we want to test
represent the significance level for the hypothesis test.
z would represent the statistic
represent the p value
Hypothesis to test
We want to test if the true mean is equal to 31.3 MPG, the system of hypothesis would be:
Null hypothesis:
Alternative hypothesis:
Since we know the population deviation, the statistic is given by
(1)
Replacing we got:
The p value for this case would be given by:
For this case since the p value is higher than the significance level we have enough evidence to FAIL to reject the null hypothesis and we can conclude that the true mean is not significantly different from 31.3 MPG
Answer:
118 ounces
Step-by-step explanation:
1 pound = 16 ounces
7 pounds = 112 ounces
112 + 6 = 118 ounces
Answer:the height of the flagpole is 27.12 ft
Step-by-step explanation:
The wire makes an angle with the ground and forms a right angle triangle with the flag pole. The length of the wire represents the hypotenuse of the right angle triangle. The height of the flag pole and the ground distance from the wire represents the adjacent and opposite sides respectively.
To determine the height of the flagpole, x we would apply Pythagoras theorem which is expressed as
Hypotenuse² = opposite side² + adjacent side²
31² = x² + 15²
x² = 961 - 225 = 736
x = √736. = 27.12 ft