Answer:
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The temperature at 10 pm is -3 degrees
The table is proportional and the constant of proportionality is 1.5
Step-by-step explanation:
Proportional relationships are relationships between two variables
where their ratios are equivalent
- One variable is always a constant value times the other
- The relation between the two variables represented graphically by a line passes through the origin point
The table:
→ x : 0 : 2 : 4 : 6
→ y : 0 : 3 : 6 : 9
To prove that y ∝ x find the ratio between each value of y with corresponding value of x
∵ 
∵ 
∵ 
∴ 
∴ k = 1.5
∵ The origin point is in the table
∴ y ∝ x
∴ The table is proportional
The table is proportional and the constant of proportionality is 1.5
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Answer:
Part (A)
and 
Part (B)
and 
Step-by-step explanation:
Consider the provided information.
Null hypothesis refers the population parameter is equal to the claimed value.
If there is no statistical significance in the test then it is know as the null which is denoted by
, otherwise it is known as alternative hypothesis denoted by
.
Part (A): The diameter of a spindle in a small motor is supposed to be 2.5 millimeters (mm) if the spindle is either too small or too large, the motor will not work properly.
Thus, the required null and alternative hypothesis are:
and 
Part (B) The nationwide average price of a certain brand of laundry detergent is $16.35 and Harry thinks that prices in Caldwell are lower than the rest of the country.
Thus, the required null and alternative hypothesis are:
and 
Answers: Choice A, Choice C
======================================================
Reason:
The distributive rule can be used in reverse to help factor.
One way to do this is to say the following steps
60 - 36w
6*10 - 6*6w
6(10-6w)
Which leads to choice A. To confirm, we can distribute the outer 6 into each term inside the parenthesis.
Similarly, choice C works because...
60 - 36w
12*5 - 12*3w
12(5 - 3w)
It can be confirmed by working the steps backwards.
There are many ways to factor this because we have multiple ways to factor 60 and to factor 36, such that we pull out a common factor each time.
Something like choice B doesn't work because 4(15-8w) = 60-32w. Close but not quite there.
Choice D doesn't work either since 3(20+12w) = 60+36w