Answer: c
<u>Step-by-step explanation:</u>
When multiplying matrices, multiply ACROSS with the left matrix and DOWN with the right matrix.
![\text{Example}:\left[\begin{array}{cc}a&b\\c&d\end{array}\right] \times \left[\begin{array}{c}x\\y\end{array}\right] =\left[\begin{array}{c}ax+by\\cx+dy\\\end{array}\right]](https://tex.z-dn.net/?f=%5Ctext%7BExample%7D%3A%5Cleft%5B%5Cbegin%7Barray%7D%7Bcc%7Da%26b%5C%5Cc%26d%5Cend%7Barray%7D%5Cright%5D%20%5Ctimes%20%5Cleft%5B%5Cbegin%7Barray%7D%7Bc%7Dx%5C%5Cy%5Cend%7Barray%7D%5Cright%5D%20%3D%5Cleft%5B%5Cbegin%7Barray%7D%7Bc%7Dax%2Bby%5C%5Ccx%2Bdy%5C%5C%5Cend%7Barray%7D%5Cright%5D)
![\left[\begin{array}{cc}5&2\\3&-1\end{array}\right] \times \left[\begin{array}{c}2\\3\end{array}\right] =\left[\begin{array}{c}5(2)+2(3)\\3(2)-1(3)\\\end{array}\right] = \left[\begin{array}{c}16\\3\end{array}\right]](https://tex.z-dn.net/?f=%5Cleft%5B%5Cbegin%7Barray%7D%7Bcc%7D5%262%5C%5C3%26-1%5Cend%7Barray%7D%5Cright%5D%20%5Ctimes%20%5Cleft%5B%5Cbegin%7Barray%7D%7Bc%7D2%5C%5C3%5Cend%7Barray%7D%5Cright%5D%20%3D%5Cleft%5B%5Cbegin%7Barray%7D%7Bc%7D5%282%29%2B2%283%29%5C%5C3%282%29-1%283%29%5C%5C%5Cend%7Barray%7D%5Cright%5D%20%3D%20%5Cleft%5B%5Cbegin%7Barray%7D%7Bc%7D16%5C%5C3%5Cend%7Barray%7D%5Cright%5D)
Answer:
135 minutes
Explanation:
36 cupcakes in 45 minutes can be written as

, so to find how long 108 will take, you can find it by equating these two fractions:

=
Simplify by cross division:
divide 45 and 108 by 3 to simplify into this:

=

x = 15
The rate is 3, so 45 • 3 = 135 minutes.
Another way of looking at it is this:
108 ÷ 36 = 3 this is the rate that you need to multiply the amount of time that it takes to make the cupcakes, so:
45 • 3 = 135 minutes.
Answer:
inverse operations (KristaKingMath)
Answer:
Y=- 6
3(y-5)+2=5
multiply
3y-15+2=5
add
3y-13=5
add pos 13 to the neg 13 to
cancel it out and add +13 to 5
3y=18
divide -3 to pos 3 and 18 to cancel it out
y= -6
Answer:
C) Sample: the 120 students surveyed. Population: the 1200 students at the high school. Parameter of interest: the average number of hours a student at this high school sleeps per night.
Step-by-step explanation:
- Population is the total units of study for the research.
- Sample is the selected units, chosen for conducting the research study.
- Parameter of interest is the characteristic or variable, that is studied related to the population or sample
Research of average hours of sleep in a school; on the basis of 120 students selected for the study; are :-
- Population is the total number of students in the school, i.e = 1200 students
- Sample is the selected number of students, chosen (enquired) for the study, i.e = 120 students
- The parameter of interest is the variable of students, that needs to be studied, i.e average sleep hours.