Answer:
Yes it is
Step-by-step explanation:
when you add up all parts of a triangle they are equal to 180
Answers:
A: 11(2x-1)
B: 121 cupcakes
Step-by-step explanation:
<u>Part A: </u>
We have the following expression that models the quantity of cupcakes Mrs. Jones baked last week:

Applying distributive property:

Grouping similar terms:

Applying common factor
:
This is the simplified expression
<u>Part B:</u>
Now that we have the simplified expresion, we have to evaluate how many cupcakes did Mrs. Jones bake if
:

Hence, Mrs. Jones baked 121 cupcakes last week
Answer:
H0 : P ≤ 0.12
H1 : P > 0.12
Step-by-step explanation:
12% = 12/ 100 = 0.12
Given the population proportion, P = 0.12
The claim is the alternative hypothesis, H1 ; which is to test if more than 12% of trees have been infested.
Hence, the alternative hypothesis will be ;
H1 : P > 0.12
The null hypothesis which is the initial truth is always the opposite of the alternative hypothesis, Therefore, we write our null as ;
The null hypothesis ; H0 : P ≤ 0.12
Therefore, we have :
H0 : P ≤ 0.12
H1 : P > 0.12
Step-by-step explanation:
recommended is to convert to decimal
1/5 is 0.2
1/2 is 0.5
1/3 is 0.33
Order is 1/5, 1/3, 1/2
Answer:
See below for answers and explanations
Step-by-step explanation:
<u>Part A</u>
The average rate of change of a function over the interval
is equal to
, hence:

Therefore, the average rate of change of
over the interval
is
.
<u>Part B</u>
Do the same thing as in Part A:

Therefore, the average rate of change of
over the interval
is
.
<u>Part C</u>
To interpret our answer from Part B in terms of the real world it represents, we say that between 0.25 seconds and 1 second, the ball falls at a rate of 4 feet per second (since our average rate of change is negative).