Answer:
H 0 : p ≤ 0.4 H a : p > 0.4
And based on the alternative hypothesis we can conclude that we have a right tailed test
Step-by-step explanation:
Data given
n=300 represent the random sample size
estimated proportion of people with cats
is the value that we want to test
represent the significance level
z would represent the statistic
represent the p value
Null and alternative hypothesis
We want to test if the true proportion of people with cats is higher than 0.4, so then the best alternative is:
Null hypothesis:
Alternative hypothesis:
H 0 : p ≤ 0.4 H a : p > 0.4
And based on the alternative hypothesis we can conclude that we have a right tailed test
The statistic is given by:
(1)
Replacing we got:
Answer:
The right answer is approximately 210.031 cubic inches. (Answer: E)
Step-by-step explanation:
First, we need to convert the diameter (
), in inches, of the round balloon to an entirely decimal mode:




The volume of the balloon is modelled after the volume function of a sphere (
), in cubic inches:
(1)
If we know that
, then the volume of the round balloon is:



Hence, the right answer is approximately 210.031 cubic inches.
Resolving horizontally . Make forces to the right positive
resultant force = 70cos30-60cos60 = 60.62-60 = 0.62 lbs
resolve vertically
resultant force = 120 sin60 - 70 sin30 = 103.92 - 35 = 68.92 lbs in downward direction
magnitude of the ressultant forsse = sqrt(68.92^2 + 0.62^2) = 68.92 lbs
direction of the force = tan-1 (0.62 / 68.82) = 0.52 degrees east of south or
a bearing of
90 - 0.52 = 89.48 degrees
The <em><u>correct answer</u></em> is:
15 blocks.
Explanation:
"As the crow flies" means in a straight line. This will be a diagonal line connecting the two locations.
Elizabeth's house can be represented by the ordered pair (1, 4), where the x-coordinate represents the street number and the y-coordinate represents the avenue number. Using this same system, the restaurant is represented by the ordered pair (10, 16). To find the length of the line segment that would connect the we use the distance formula:
