Answer:
Alternative hypothesis:
Or in the alternative way would be:
Alternative hypothesis:
Step-by-step explanation:
A hypothesis is defined as "a speculation or theory based on insufficient evidence that lends itself to further testing and experimentation. With further testing, a hypothesis can usually be proven true or false".
The null hypothesis is defined as "a hypothesis that says there is no statistical significance between the two variables in the hypothesis. It is the hypothesis that the researcher is trying to disprove".
The alternative hypothesis is "just the inverse, or opposite, of the null hypothesis. It is the hypothesis that researcher is trying to prove".
On this case the claim that they want to test is: "The means for the two groups (American Idol and 60 Minutes) is the same". So we want to check if we have significant differences between the two means, so this needs to be on the alternative hypothesis and on the null hypothesis we need to have the complement of the alternative hypothesis.
Null hypothesis:
This null hypothesis can be expressed like this:
Null hypothesis:
Alternative hypothesis:
Or in the alternative way would be:
Alternative hypothesis:
Answer:The distance from a point to a line is
distance(ax+by+c=0,(x0,y0)) = abs(ax0+by0+c)/sqrt(a^2+b^2)
So first convert the formula for the line to standard form
5x+2y=4
5x+2y-4=0
a=5, b=2, c=-4, x0=15, y0=-21
Step-by-step explanation:
Answer:
Options (1) and (5) are the correct options.
Step-by-step explanation:
See attachment for the complete question.
Simon's work,
Area of the base = B =
=32.5 m²
Volume = Bh = 32.5(12) = 390 m³
Let's check the error's he made.
Area of the base of the triangular prism
B =
B = 30 m²
Volume of the prism = (Area of the triangular base)×(Height)
V = 30 × 4
V = 120 m³
Therefore, Options (1) and (5) are the correct options.
<u>Answer:</u>
The average daily balance for the month of June is 55.16
Solution:
Given, June 1st = 1223 starting balance
June 10th = 615 deposit
So these will add in the account
June 15th = withdrawal of -63
June 22nd = withdrawal of -120
These will be subtracted from the account.
We have to add the deposits and subtract the withdrawals from the starting balance to obtain the total amount.
So, the total amount deposited in June is (1223 +615-63-120) = 1655
The total days in June is 30. In 30 days, the total deposit is 1655. To calculate the average balance, we have to divide the total amount by the total number of days in the month.
So, in 1 day the deposit is 
Hence, the average daily balance for June is = 55.16
