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PilotLPTM [1.2K]

3 years ago

12

Katherine conducts a survey at her school to determine the student's favorite sport. Which sampling method would best produce a

representative sample of the population?
a Katherine surveys seventh-grade students
b Katherine surveys the football team
c Katherine surveys every 5th student entering the school
d Katherine surveys every 6th student from the roster of band members

2 answers:

Tamiku [17]3 years ago

8 0

The answer is letter A

Neporo4naja [7]3 years ago

4 0

Answer:

A( i believe

hope this helps

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A small ferryboat transports vehicles from one island to another, and the order the vehicles arrive will lead to slightly differ

katen-ka-za [31]

Answer:

{PP, PR, RP, RR}

Step-by-step explanation:

Given that:

Passenger vehicle = P

Recreational vehicle = R

For each of the next two vehicles :

Sample space :

_____ P ______ R

P ___ PP _____ PR

R ___ RP _____ RR

{PP, PR, RP, RR}

B.) Tree diagram can be found in attached picture

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3 years ago

Find the Tangent of Angle C<br> Find the tangent of ZC.<br> C<br> 8<br> A<br> 15<br> 17

iren [92.7K]

Answer:

15/8

Step-by-step explanation:

tanC = opposite/adjacent = 15/8

4 0

2 years ago

If a boy 5 feet tall casts a shadow 14 feet long, what will be the length of the shadow of a tree that is 25 feet high?

klemol [59]

Answer:

70 feet

Step-by-step explanation:

This problem can be answered by using proportions based on similar triangles.

Notice that a person and its shadow on the ground form a right angle (therefore they can be considered the two "legs" of a right angle triangle)

The same runs for the tree and its shadow.

Since the inclination of the rays of the sun are the same at the same time for both objects (the boy and the tree), their hypothenuses form the same angles with the ground and therefore belong to similar triangles.

We can create the following proportion to solve for the shadow of the tree (ST) using the information provided: the height of the boy (HB), the shadow of the boy (SB), and the height of the tree (HT)

$\frac{SB}{HB} =\frac{ST}{HT}\\\frac{14}{5} =\frac{ST}{25}\\\frac{ST}{25}=\frac{14}{5} \\ST=\frac{14*25}{5}\\ST=70\,\,ft$

6 0

4 years ago

How do you find x ????

NeTakaya

The angle for x is 180 degrees because it is at the part of the circle that is straight up and down

6 0

4 years ago

Read 2 more answers

Solve this system by elimination : -5x + 3z =8 x- 4y = 7 5y - 4z = -14 find the x , y and z using elimination

Mnenie [13.5K]

Answer

• x = –1

• y = –2

• z = 1

Explanation

Given the system:

$\begin{gathered} -5x+3z=8\text{, equation 1} \\ 5y-4z=-14,\text{ equation 2} \\ x-4y=7,\text{ equation 3} \end{gathered}$

We have to divide equation 1 over 5 and add it to equation 2:

$\begin{gathered} -(5x)+0y+3z=8 \\ x-4y+0z=7 \\ 0x+5y-4z=-14 \end{gathered}$ $\begin{gathered} \frac{-(5x)+0y+3z=8}{5} \\ x-4y+0z=7 \\ 0x+5y-4z=-14 \end{gathered}$ $\begin{gathered} -x+0y+\frac{3}{5}z=\frac{8}{5} \\ x-4y+0z=7 \\ 0x+5y-4z=-14 \end{gathered}$

Now, we have to add 1/5(equation 1) to equation 2:

$\begin{gathered} -x+0y+\frac{3}{5}z=\frac{8}{5} \\ x-4y+0z=7 \\ --------- \\ 0x-4y+\frac{3}{5}z=\frac{43}{5} \end{gathered}$

Next, we multiply the equation 2 obtained previously times 5:

$\begin{gathered} (0x-4y+\frac{3}{5}z=\frac{43}{5})\cdot5 \\ -20y+3z=43 \end{gathered}$

Then, we divide equation 2 over 4:

$\begin{gathered} \frac{-20y+3z=43}{4} \\ -5y+\frac{3}{4}z=\frac{43}{4} \end{gathered}$

We add it to equation 3:

$\begin{gathered} -5y+\frac{3}{4}z=\frac{43}{4} \\ 5y-4z=-14 \\ ------- \\ 0y-\frac{13}{4}z=-\frac{13}{4} \end{gathered}$

Then, we are left with:

$\begin{equation*} -\frac{13}{4}z=-\frac{13}{4} \end{equation*}$

Simplifying:

$-13z=-13$ $z=\frac{-13}{-13}=1$ $z=1$

Now that we have the value of z (z = 1), we can replace it in the modified equation 2 and solve for y:

$-20y+3z=43$ $-20y+3(1)=43$ $-20y+3=43$ $-20y=43-3$ $-20y=40$ $y=\frac{40}{-20}$ $y=-2$

Finally, calculating the value of x with any of the equations (as we already have the other two values):

$x-4(-2)=7$ $x+8=7$ $x=7-8$ $x=-1$

5 0

2 years ago