Answer:
B. Start at -7 on the number line and move 11 to the right.
Step-by-step explanation:
<u>Given:</u>
We can add or remove only positive numbers on the number line to get it correct, so we need to open the parenthesis. When evaluated we get:
-7- (-11) = - 7 + 11 = 4
<u>Correct interpretation of of this expression is:</u>
- Start at -7 and add 11, thus move 11 points to the right, to get 4 as final point.
<u>Correct choice is:</u>
- B. Start at -7 on the number line and move 11 to the right.
Answer:
A
Step-by-step explanation:
We want to solve the equation:
To do so, we can rewrite the equation.
Recall the double-angle for sine:
By substitution:
Distribute:
We can subtract 3cos(x) from both sides:
And factor:
Hence, our answer is A.
*It is important to note that we should not divide both sides by cos(x) to acquire 10sin(x) = 3. This is because we need to find the values of x, and one or more may result in cos(x) = 0, and we cannot divide by 0. Hence, we should subtract and then factor.
Answer:
26.307 miles per gallon
Step-by-step explanation:
Divide the miles traveled by the number of gallons used.
In this case, divide 342 by 13 to get the answer of 26.307 miles per gallon.
Answer:
\left(ax^2\right)\left(-6x^b\right)=12x^5\\\\(-6a)x^{2+b}=12x^5\to -6a=12\ and\ 2+b=5\\\\-6a=12\ \ \ |:(-6)\\a=-2\\\\2+b=5\ \ \ |-2\\b=3
Answer:\ a=-2;\ b=3
Step-by-step explanation:
Answer:
1 and 3 are biased
Step-by-step explanation:
A biased sample is ond where all individuals were not given equal likelihood of being selected.
Number 1;
Picking students from the cafeteria would lead to sampling bias because not every student from the school eats from the cafeteria. Those she selected can not be used to account for the whole school. Those that use the cafeteria are only a representation of the whole school and not the entire school.
For number 3:
Paul is interested in finding the mean number of cloth shoppers In a mall and is only collecting data from one clothing store without considering other stores in the mall.
