An elementary school has the following students
• 240 students in 3rd grade
• 150 students in 4th grade
..100 students in 5th grade
The librarian wants to know which books are most popular among the school's 3rd-6th grade students. She decides to survey a group rather than all students.which of the following sampling methods will provide the most accurate representation of the populations preferences?
Which of the following sampling methods will provide the most accurate representation of the population's preferences?
select 15 third graders, 15 fourth graders, and 15 fifth graders at random
select 15 third graders, 25 fourth graders, and 40 fifth graders at random
select 40 third graders, 25 fourth graders, and 15 fifth graders at random
select 40 third graders, 40 fourth graders, and 40 fifth graders at random

Answer:

x=74

y=37

z=25

Step-by-step explanation:

First, we can find y.

106 and 2y are supplementary angles. That means that when added together, they equal 180.

106+2y=180

2y=74

y=37

We can use this information to help us find x.

x and 2y are corresponding angles, which means that they are congruent.

2y=x

2(37)=x

74=x

Now, let's find z.

4z+6 is corresponding to the angle right above angle x. This means that (4z+6)+x=180.

Let's solve.

(4z+6)+74=180

4z+80=180

4z=100

z=25

Hope this helped!

Answer:

5 units

Step-by-step explanation:

Diameter = two times the radius so the answer is 5 units.

Answer:

130 points

Step-by-step explanation:

Given

[tex]Scorers: Duane,\ LeBron\ \&\ Chris[/tex]

[tex]D=Dwayne[/tex]

[tex]C = Chris[/tex]

[tex]L = LeBron[/tex]

So, we have:

[tex]L = 15 + C[/tex] --- 15 more than Chris

[tex]L =D -10[/tex] --- Same as Dwayne previous personal best

[tex]D = 55[/tex] -- Dwayne's point

Required

Find the total points

We have:

[tex]L = 15 + C[/tex]

[tex]L =D -10[/tex]

[tex]D = 55[/tex]

Substitute [tex]D = 55[/tex] in [tex]L =D -10[/tex]

[tex]L = 55 - 10[/tex]

[tex]L = 45[/tex]

Substitute [tex]L = 45[/tex] in [tex]L = 15 + C[/tex]

[tex]45 = 15 + C[/tex]

[tex]C =45 -15[/tex]

[tex]C =30[/tex]

So, we have:

[tex]D = 55[/tex]

[tex]L = 45[/tex]

[tex]C =30[/tex]

The total points is calculated as:

[tex]Total = D + L + C[/tex]

[tex]Total = 55 + 45 + 30[/tex]

[tex]Total = 130[/tex]

Answer:

Step-by-step explanation:

#1

Substitute pairs of solutions and verify

(1, 7)

(2, -7)

Correct choice is D. Neither

#2

x- intercept: y = 0

y- intercept: x = 0

#3

x = -1 ⇒ find y:

Answer:

1. The answer is D , neither

Just insert 1&2 in the equation and then get -7 & -9 , which are wrong !

_____________

2. x-intercept : (-13/6 , 0)

y-intercept : (0,13)

_____________

Y=3

Just insert -1 as X in the equation & get the Y .

Step-by-step explanation:

Hope that was helpful .

Good luck .

Answer:

x = −2

Step-by-step explanation:

Step 1: Simplify both sides of the equation.

3(4x+6)=x−4

(3)(4x)+(3)(6)=x+−4(Distribute)

12x+18=x+−4

12x+18=x−4

Step 2: Subtract x from both sides.

12x+18−x=x−4−x

11x+18=−4

Step 3: Subtract 18 from both sides.

11x+18−18=−4−18

11x=−22

Step 4: Divide both sides by 11.

[tex]\frac{11x}{11}[/tex] = [tex]\frac{-22}{11}[/tex]

x = −2

Answer:

0.54m/s

Step-by-step explanation:

Speed = distance / time

5.4/10=0.54 m/s

The perimeter of the square is 70.8 meters.

To find the perimeter of a square, we need to know either the length of one side or the area of the square. In this case, we are given the area of the square as 313.29 m².

The formula for the area of a square is:

Area = side length²

We can rearrange this formula to solve for the side length:

Side length = √Area

Substituting the given area into the formula, we have:

Side length = √313.29 m²

Calculating the square root of 313.29, we find that the side length of the square is approximately 17.7 meters (rounded to one decimal place).

Since a square has four equal sides, the perimeter is simply four times the side length:

Perimeter = 4 * 17.7 m = 70.8 meters

As a result, the square's circumference is 70.8 metres.

for such more question on perimeter

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Answer: 152$

Step-by-step explanation:

255 x (1/3) = 85

85

110 of the coins are 50p

110 x .5 = 55

85 + 55 = 140

85 + 110 = 195 total coins

255 - 195 = 60

60 x .2 = 12$

140 + 12 = 152$

Answer:

c

Step-by-step explanation:

we add them which gets 440. afterwards we don't round since it's a profitable and stable amount

Answer:

You have a 2/3 chance

Answer:

2/3

Step-by-step explanation:

when you spin twice you either get a KK, KV, KH, VK, VV, VH, HK, HV, HH.

so the probability of getting a K and a K is 1/3 plus 1/3 to get your answer as 2/3.

Answer:

my answer is no because for a right angle triangle the sum of the squares of the other two sides is equal to the square of the longest side

3²+7²=9+49=58

(√57)²=57

57≠58 it's not a right angle triangle

assume the sides to be a,b and c

a=3 b=7 c=√57

by Pythagoras theorem

a²+b²=c²

3²+7²=√57²

but 58≠57

hope it's clear

Answer:

True

Step-by-step explanation:

The absolute value of any number will always be positive. Therefore the absolute value of a negative number is the opposite of the negative. Which is positive.

9514 1404 393

Answer:

Step-by-step explanation:

When Mai receives money, her account balance increases. The amount received can be represented by a positive number.

When Mai spends money, her account balance decreases. The amount spent can be represented by a negative number.

Answer:

It comes from correct solution steps and is not a valid solution of the equation.

Step-by-step explanation:

The true statement about extraneous solutions is:

(c) It comes from correct solution steps and is not a valid solution of the equation.

An extraneous solution is a solution when put in the original equation does not give the correct value

However, the step to get the solution is true

Hence, the true statement about extraneous solutions is (c)

Read more about extraneous solutions at

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Arlo has $25 to spend on a T-shirt and

shorts for gym class. The shorts cost $14.

Use the inequality 14 +1 < 25, where t

represents the cost of the T-shirt. What is

the most Arlo can spend on the T-shirt?

the answer is $11.

Answer:

The answer is True

The product is greater than  both factors but less than 1.

Answer:

a^11 b^5

Step-by-step explanation:

basically you combine like terms on both sides of the division problem separately

which now becomes a^6b^3/a^-5 b^-2

then you divide which is just subtracting the exponents of like terms

a^(6--5) b^(3--2)

and then solve and you get the answer a^11 b^5

Step-by-step explanation:

pentagonal pyramid

cone

7

Answer:

C. No Solutions

Step-by-step explanation:

Answer:

C) no solutions

Step-by-step explanation:

7a+5(a+3)=8a+4(a+2)

7a+5a+15=8a+4a+8

12a+15=12a+8

-8           -8

12a+7=12a

No solutions

Question 1

D) relative pronoun

Question 2

A) subject pronoun

Question 3

C) reflexive pronoun

Question 4

B) object pronoun

Hope this helps :)

Step-by-step explanation:

hope it is helpful

Answer:

[tex]a_{n}[/tex] = 60 - 15n

Step-by-step explanation:

The nth term of an arithmetic sequence is

[tex]a_{n}[/tex] = a₁ + (n - 1)d

where a₁ is the first term and d the common difference

Here a₁ = 45 and d = a₂ - a₁ = 30 - 45 = - 15 , then

[tex]a_{n}[/tex] = 45 - 15(n - 1) = 45 - 15n + 15 = 60 - 15n

An equation for the nth term of the arithmetic sequence is aₙ=60-15n.

An arithmetic sequence is a sequence of numbers where the differences between every two consecutive terms is the same. The general form an arithmetic sequence is aₙ=a+(n-1)d.

The given arithmetic sequence is 45, 30, 15, 0,.....

Here, a=45 and d=30-45 = -15

Now, aₙ=45+(n-1)(-15)

aₙ=45-15n+15

aₙ=60-15n

Therefore, an equation for the nth term of the arithmetic sequence is aₙ=60-15n.

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Answer:

1/14

Step-by-step explanation:

Answer:

2 yards

Step-by-step explanation:

1 yard = 3 feet

Answer:

2 yards

Step-by-step explanation: