A population of middle school students contains 160 sixth graders, 180 seventh graders, and 140 eighth graders. Nine seventh graders were part of a random sample of the population chosen to participate in a survey. For the sample to accurately represent the population, about how many sixth graders should be chosen? A.7 B.8 C.14 D.16

Answers

Answer 1

Answer:

About 8 sixth graders should be chosen.

What is direct proportion?

Direct proportion is a type of proportionality relationship. For direct proportion, as one value increases, so does the other value and conversely, as one value decreases, so does the other value.

Given that, A population of middle school students contains 160 sixth graders, 180 seventh graders, and 140 eighth graders. Nine seventh graders were part of a random sample of the population chosen to participate in a survey.

We know they are in direct proportion,

Number of sixth graders students = 160

Number of seventh graders students = 180

Number of eighth graders students = 140

If 9 seventh graders were part of a random sample of the population chosen to participate in a survey.

Let the number of sixth graders should be chosen to be 'x'.

Since, there will be direct proportion.

180/9 = 160/x

20 = 160/x

x = 160/20

x = 8

Hence, About 8 sixth graders should be chosen.

For more references on direct proportion, click;

brainly.com/question/28730073

#SPJ6

Answer 2

Answer:

Answer:B-8

Step-by-step explanation:BECAUSE it was for me

Related Questions

Find 2 numbers which multiply to give 45 and add up to 44
1)SURFACE AREA13 ft ▪️ squareWhat would be the surface area of a 13ft square SURFACE AREA:
Let set A = {odd numbers between 0 and 100} and set B = {numbers between 50 and 150 that are evenly divisible by 5}.What is A ∩ B? {50, 55, 60, 65, 70, 75, 70, 85, 90, 95} {55, 65, 75, 85, 95} {all odd numbers between 1 and 99} {numbers between 1 and 150 that are evenly divisible by 5}
A principal of $4900 is invested at 8.5% interest, compounded annually. how much will the investment be worth after 7 years? Round to the nearest dollar
If ∠BAE = 45° and ∠CED = 70° is ΔABE ~ ΔCDE? If so, by what criterion?A) yes, by AA criterion B) yes, by SAS criterion C) yes, by SSA criterion D) no, not possible to tell.

A circle is described by the equation x2 + y2 + 14x + 2y + 14 = 0. What are the coordinates for the center of the circle and the length of the radius?a. (-7, -1), 36 units
b. (7, 1), 36 units
c. (7, 1), 6 units
d. (-7, -1), 6 units

Answers

Answer:

option d is correct.

center = (-7, -1)

r = 6

Step-by-step explanation:

The general equation of the circle is given by;

$(x-h)^2+(y-k)^2 = r^2$

where;

(h, k) is the center of the circle

r is the radius of the circle respectively.

As per the statement:

A circle is described by the equation $x^2 + y^2 + 14x + 2y + 14 = 0$

then;

$(x^2+14x)+(y^2 + 2y) + 14 = 0$

Using the completing the square:

$(x^2+14x+7^2-7^2)+(y^2 + 2y+1^2-1^2) + 14 = 0$

⇒ $(x+7)^2 - 49 + (y+1)^2 - 1 + 14 = 0$

⇒ $(x+7)^2+(y+1)^2 -36 = 0$

Add 36 to both sides we have;

$(x+7)^2+(y+1)^2=36$

On comparing with the general equation of circle:

we get;

h = -7 , k = -1 and $r^2 = 36$

⇒ $r = 6$

Therefore, the coordinate of the center of the circle is (-7, -1) and length of the radius of the circle is 6

The equation of a circle:
$(x-h)^2+(y-k)^2=r^2$
(h,k) - the coordinates of the center
r - the radius

$x^2+y^2+14x+2y+14=0 \nx^2+14x+49+y^2+2y+1+14-49-1=0 \n(x+7)^2+(y+1)^2+14-49-1=0 \n(x+7)^2+(y+1)^2-36=0 \n(x+7)^2+(y+1)^2=36 \n(x-(-7))^2+(y-(-1))^2=6^2 \n \Downarrow \nh=-7 \nk=-1 \nr=6$

The center is (-7,-1), the length of the radius is 6 units.
The answer is D.

(17 PTS)
GEOMETRY QUESTIONS, PLEASE HELP!

Answers

14.
Angles 4 and 6 are supplementary, because they are on the same line. Supplementary angles add up to 180 degrees, and a line must be 180 degrees.

15.
Angles 1 and 8 are congruent, because they are alternate exterior angles

16.
m = y2 - y1 / x2 - x1
m = 7 - 2 / 4 - 5
m = 5 / -1
m = -5

17.
m = 3 - 3 / 7 - (-5)
m = 0 / 12
m = 0

18.
m = 1 - (-2) / 5 - (-4)
m = 3 / 9
m = 1/3

19.
A = (0, 3) - B = (3,0)
m = 0 - 3 / 3 - 0
m = -3 / 3
m = -1
C = (0, -2) - D = (4, 2)
m = 2 - (-2) / 4 - 0
m = 4 / 4
m = 1
Perpendicular, because the slopes are opposite reciprocals.

20.
E = (1, 2) - F = (0, 0)
m = 0 - 2 / 0 - 1
m = -2 / -1
m = 2
G = (1, -3) - H = (3, 0)
m = 0 - (-3) / 3 - 1
m = 3 / 2
Neither, because the slopes are different.

21.
I = (0, 1) - J = (2, -4)
m = -4 - 1 / 2 - 0
m = -5/2
K = (-1, -2) - L = (4, 0)
m = 0 - (-2) / 4 - (-1)
m = 2/5
Perpendicular, because the slopes are opposite reciprocals.

22.
M = (-2, 2) - N = (2, 2)
Horizontal line
m = 0
O = (3, 0) - P = (-3, 0)
Horizontal line
m = 0
Parallel, because the slopes are the same.

23.
Angle 2 is congruent to angle 1 because of the alternate exterior angle theorem.
Angle 1 is congruent to angle 3 because of the vertical angle theorem.
Angle 2 is congruent to angle 3 because of substitution.
Line l is parallel to line m because the corresponding angles are congruent.

14. Supplementary
15. Congruent

16. $m = (y_2 - y_1)/(x_2 - x_1) = (7 - 2)/(4 - 5) = (5)/(-1) = -5 \n\ny - y_1 = m(x - x_1) \ny - 2 = -5(x - 5) \ny - 2 = -5(x)+ 5(5) \ny - 2 = -5x + 25 \ny = -5x + 27$

17. $m = (y_2 - y_1)/(x_2 - x_1) = (3 - 3)/(-5 - 7) = (0)/(-12) = 0 \n\ny - y_1 = m(x - x_1) \ny - 3 = 0(x - 7) \ny - 3 = 0(x) - 0(7) \ny - 3 = 0x - 0 \ny = 0x + 3$

18. $m = (y_2 - y_1)/(x_2 - x_1) = (1 - (-2))/(5 - (-4)) = (1 + 2)/(5 + 4) = (3)/(9) = (1)/(3) \n\ny - y_1 = m(x - x_1) \ny - (-2) = (1)/(3)(x - (-4)) \ny + 2 = (1)/(3)(x + 4) \ny + 2 = (1)/(3)(x) + (1)/(3)(4) \ny + 2 = (1)/(3)x + 1(1)/(3) \ny = (1)/(3)x - (2)/(3)$

19. Perpendicular
20. Neither
21. Perpendicular
22. Parallel

23. Given: Transversal r cuts lines
   l and m: <2 = <1
      Prove: l || m

Statements | Reasons
1. <2 ≡ <1 | 1. They are congruent.
2. <1 ≡ <3 | 2. They are congruent.
3. <2 ≡ <3 | 3. They are parallel.
4. l || m    | 4. They are parallel.

Given Δ ABC ≅ Δ EFG, What is the value of x? A. x= 45 °
B. x= 50 °
C. x= 85 °
D. x= 135 °

Answers

Answer: The correct option is (A) 45.

Step-by-step explanation: We are given that triangles ABC and EFG are congruent to each other, where

$m\angle A=50^\circ,m\angle G=85^\circ,m\angle B=x^\circ.$

We are to find the value of x.

We know that the corresponding angles of congruent triangles have equal measures.

So, m∠A = m∠E, m∠B = m∠F and m∠C = m∠G.

Also, since the sum of three angles of a triangle is 180 degrees, so from triangle ABC, we get

$m\angle A+m\angle B+m\angle C=180^\circ\n\n\Rightarrow 50^\circ+85^\circ+x^\circ=180^\circ\n\n\Rightarrow 135^\circ+x^\circ=180^circ\n\n\Rightarrow x^\circ=180^\circ-135^\circ\n\n\Rightarrow x^\circ=45^\circ\n\n\Rightarrow x=45.$

Thus, the required value of x is 45.

Option (A) is CORRECT.

Answer:

A. x = 45

Step-by-step explanation:

m<C = m<G = 85°

m<A + m<B + m<C = 180°

50° + x° + 85° = 180°

x = 45

Round to the nearest tenth square root of 13

Answers

Square root of 13 rounded to the nearest tenth is 3.6

The square root of 13 is 3.60555, but rounding that to the nearest tenth would be 3.6.

Hope that helped :)

Final answer:

The square root of 13 is approximately 3.60555127546. When rounded to the nearest tenth, this value becomes 3.6.

Explanation:

To find the nearest tenth of the square root of 13, you first need to calculate the square root of 13 using a calculator. The calculator will show that the square root of 13 is approximately 3.60555127546.

To round this to the nearest tenth, look at the second digit after the decimal point which is 0. If this number is 5 or larger, we round up the first digit after the decimal point, if not, we keep it as it is. In this case, the value of the second digit after the decimal point is 0, which is less than 5. Therefore, the square root of 13 rounded to the nearest tenth is 3.6.

Learn more about Square Root Rounding here:

brainly.com/question/35946792

#SPJ2

How many days are in 3 2/7 weeks

Answers

Well, there are 7 days in a week, so we'll have to multiply that by 3, which would be 21, plus the other 2 days stated in da problem, so that would be a total of 23 days!
I hope I helped, and PLEASE choose my answer as the Brainliest!
Thank you! =D

7 × 3 = 21
21 + 2 = 23

So therefore, 23 days.

Write the explicit formula for the geometric sequence. Then find the fifth term in the sequence. a1 = –4, a2 = 8, a3 = –16

Answers

The sequence: a 1 = - 4, a 2 = 8, a 3 = -16,...
a 2 = a 1 * r
8 = - 4 * r
r = 8 : ( - 4 )
r = - 2
a n = a 1 * r^(n-1)
a 5 = - 4 * ( - 2 ) ^4 = - 4 * 16 = - 64
Answer:
The fifth term in the sequence is - 64.

Answer:

B. an = –4 · (–2)n–1; –64

Step-by-step explanation:

Other Questions

1. There is one-quarter pound of raspberry filled chocolates to divide equally into three bags. How much will be in each bag?

Sandy has 16 roses, 8 daisies, and 32 tulips. She wants to arrange all the flowers in bouquets. Each bouquet has the same number of flowers and the same type of flower. What is the greatest number of flowers that could be in a bouquet?

On a coordinate grid, point P is at (5, 8) and point R is at (−1, −3). Points Q and S are a reflection of both points across the x-axis.What are the coordinates of Q and S? Q(−5, 8), S(1, −3) Q(5, −8), S(−1, 3) Q(−5, −8), S(1, 3) Q(−5, 8), S(−1, 3)

What is the focal length of the parabola with equation shown below?