Michelle is interested in knowing how often girls in her class at school use their cell phones to instant message their friends.
Which of the following methods could Michelle use to conduct a simple random sample to answer her question?

A. Give the survey to the first fifty girls on a list of all the students in her class.
B. Post her survey on the Internet and ask only girls to respond.
C. Write the name of each girl in her class on a card and then draw 10 cards from a hat.
D. Identify which homeroom each girl in her class is in and then choosing a sample from each homeroom based on the number of girls in the homeroom.

[tex]x_{1} = \frac{1+\sqrt{3}}{2}[/tex] or [tex]x_{1} = \frac{1-\sqrt{3}}{2}[/tex]

Answer:

1/45

Step-by-step explanation:

Total = 10

Probaility of getting yellow: 2/10

Probbaility of getting yellow again: 1/9

2/10 * 1/9= 2/90 or 1/45

Answer:

Step-by-step explanation:

4x + 9y = 5

-4x + 7y = 11

Isolate y for 4x + 9y = 5

9y = 5-4x

y = (5-4x) / 9

Now plug it in this equation: -4x + 7y = 11

-4x + 7[(5-4x)/9] = 11

now just solve it.

-4x + (35 - 28x / 9) = 11

multiply both sides by 9

-36x + 35 - 28x = 99

-64x = 64

divide both sides by -64

x = 1

Christopher is solving a system of equations that has one solution and can be seen in Option C.

A system of equations is more than one equation that can be solved together to get a unique solution. In this situation, the power of the equation must be in one degree.

A quadratic equation is an algebraic equation whose power is raised to the second degree.

However, if their power is not in one degree, they are regarded as a quadratic equation and it usually produces two solutions.

From the given options, we can see that only option c is not a quadratic equation, Hence, it is the right answer.

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Answer:

I'm pretty sure it's C.

Step-by-step explanation:

Step-by-step explanation:

[tex]y = (2x + 10)(x - 2)[/tex]

[tex]y = 2x(x - 2) + 10(x - 2)[/tex]

[tex]y = 2x ^{2} - 4x + 10x - 20[/tex]

[tex]y = 2x ^{2} + 6x - 20[/tex]

[tex]to \: find \: x \: intercept \: y = 0[/tex]

[tex]0 = 2x ^{2} + 6x - 20[/tex]

[tex]x = 2 \: or \: - 5[/tex]

[tex]to \: find \: y \: intercept \: x = 0[/tex]

[tex]y = 2(0)^{2} + 6(0) - 20[/tex]

[tex]y = - 20[/tex]

Answer:

y = -20

x- 2, -5

Step-by-step explanation:

Answer:

It is 6.38 units!

Step-by-step explanation:

I took the test and it was correct.

The measure of the side length DE is 6.38 units after applying the tan ratio in the right-angle triangle option (C) 6.38 units is correct.

It is a triangle in which one of the angles is 90 degrees and the other two are sharp angles. The sides of a right-angled triangle are known as the hypotenuse, perpendicular, and base.

We have a right-angle triangle given:

Triangle DEF contains right angle E. If angle D measures 50° and its opposite side measures 7.6 units,

After drawing the triangle:

Applying the tan ratio in the right-angle triangle:

tan50 = EF/DE

tan50 = 7.6/DE

DE = 7.6/tan50

DE = 6.377 ≈ 6.38 units

Thus, the measure of the side length DE is 6.38 units after applying the tan ratio in the right-angle triangle option (C) 6.38 units is correct.

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Using the Fundamental Counting Theorem, it is found that there are 90 ways to choose the three side dishes.

It is a theorem that states that if there are n things, each with [tex]n_1, n_2, \cdots, n_n[/tex] ways to be done, each thing independent of the other, the number of ways they can be done is:

[tex]N = n_1 \times n_2 \times \cdots \times n_n[/tex]

In this problem:

Then:

N = 5 x 3 x 6 = 90.

There are 90 ways to choose the three side dishes.

More can be learned about the Fundamental Counting Theorem at https://brainly.com/question/24314866

Answer:

Step-by-step explanation:

C=2πr

r=10in

C=2*π*10

C=20*3.14

62.8 in

Each cross section has a diameter equal the horizontal distance between the two "halves" of the parabola. We have

y = 4x²   ⇒   x = ±√y/2

so the diameter for some given y would be √y/2 - (-√y/2) = √y.

The volume of a cross section with thickness ∆y is then

π/2 (√y/2)² ∆y = π/8 y ∆y

The total volume of the solid would then be

[tex]\displaystyle \int_0^4 \frac\pi8 y \, dy = \frac\pi8 \times \frac12 y^2 \bigg|_{y=0}^{y=4} = \boxed{\pi}[/tex]

Answer:

D

Step-by-step explanation:

secΘ > 0 in 1st and 4th quadrants

cscΘ < 0 in 2nd and 4th quadrants

then

secΘ > 0 and cscΘ < 0 in the 4th quadrant

Answer:

x = 3 ± [tex]\sqrt{5}[/tex]

Step-by-step explanation:

(x - 3)² = 5 ( take square root of both sides )

x - 3 = ± [tex]\sqrt{5}[/tex] ( add 3 to both sides )

x = 3 ± [tex]\sqrt{5}[/tex]

Answer:

×=5.5

Step-by-step explanation:

exact form would be 11/5

and mixed form is 5 1/2

Answer:

(x, y ) → (x + 5, y - 3 )

Step-by-step explanation:

5 units right means add 5 to the x- coordinate

3 units down means subtract 3 from the y- coordinate

the translation rule is

(x, y ) → (x + 5, y - 3 )

Answer:

a

Step-by-step explanation:

pigs are 75 bpm more than elephants

so elephants are x + 75

and pigs are 100 bpm

so this means your answer is a

Answer:

11. 4

12. 2

13. 2

14. 2

15. 3

Step-by-step explanation:

Now that you already know how to find the degree of a monomial, we move to the degree of a polynomial. A polynomial is a sum of monomials. Each monomial that is part of a polynomial is called a term of the polynomial.

To find the degree of a polynomial, find the degree of each term of the polynomial. Then the highest degree of all the monomials is the degree of the polynomial.

11.

4x³y has degree 4

3x²y² has degree 4

-y³ has degree 3

The highets degree of all terms is 4, so the degree of the polynomial is 4.

12.

a has degree 1

b has degree 1

-c² has degree 2

The degree of the polynomial is 2.

13.

The degrees of the terms are, in order, 2, 2, 2.

The degree of the polynomial is 2.

14.

The degrees of the terms are, in order, 1, 2, 1.

The degree of the polynomial is 2.

15.

The degrees of the terms are, in order, 3, 2, 1.

The degree of the polynomial is 3.

The shapes in the composite figures are a triangle and a trapezoid

The area of the figure is about 24 square units

The dimensions of the figure are given as:

Triangle

Trapezoid

The longer base of the trapezoid and the base of the triangle are aligned.

So, the area is:

Area = Area of triangle + Area of trapezoid

This gives

Area = 0.5 * base * height + 0.5 * (sum of bases) * height

So, we have:

Area = 0.5 * 6 * 3  + 0.5 * (4 + 6) * 3

Evaluate

Area = 24

The figure is needed to determine the perimeter

Hence, the area of the figure is about 24 square units

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Answer:

47.3

Step-by-step explanation:

yes

Answer:

B

Step-by-step explanation:

For percentage, you take the percent symbol and move it two spaces to the left and make it a decimal, hence the .32 and then you multiply it by the integer you want to find the percent of, 130.

Answer:

0.32 x 130

Step-by-step explanation:

A percentage is out of 100;

32% = 32/100

32/100 = 0.32

32% of 130 is a multiplication problem (of : multiplication).

0.32 x 130 = 41.6

Answer:1/2 problability for both odd and same for evens.1/8 chance of spinning a 3 .25% chance of a 4 or 6.one eight of a chance of spinning a 7 or 1.part 2. a is false because the chance of spinning and odd is 50% and their is 3 numbers less than 4 .4 numbers would be a 50% chance to buts its not.b is true because he has a chance of spinning any number i think.c is true because there are 4 odd numers and 2 and 4 is half of 4

Step-by-step explanation:

Answer:

B

Step-by-step explanation:

The two smallest sides of a triangle must be greater than the third, larger one.

A: 6 + 2 > 9

   8 > 9

   False

B: 5 + 7 > 8

   12 > 8

   True

C: 2 + 4 > 6

   6 > 6

   False

Answer:

D

-by-step explanation:

all other is incorrect

Answer:

  (a)  Inconsistent

Step-by-step explanation:

Two linear equations can be compared by putting both of them in standard form. Here, that means removing a common factor from the coefficients of the first equation.

  3x -6y = -12 . . . . given first equation

  x -2y = -4 . . . . . . divide by 3

Compare this to the second equation:

  x -2y = -8

The constants (-4, -8) are different, so there are no values of x and y that can satisfy both equations. The equations are described as inconsistent.

Answer:

Step-by-step explanation:

Equation 1

Equation 2

On comparison, it is seen that the slopes are same, but the y-intercepts are different.

This means this has no solution, or the graph is inconsistent.

Answer: C

Steps:

39+17+17=73

73x0.06=4.38

4.38+73=77.38

Add the sales tax to price without tax

Answer:

C. $77.38

Step-by-step explanation:

Items + tax = total

Items × .06 = tax

OR

Items × 1.06 = total

39 + 17 + 17 = 73

73 × .06 = 4.38

73 + 4.38 = 77.38

OR

73 × 1.06 = 77.38

Answer:

C.5, Because when you you add the line of best fit on the graph it goes through the 5 point right over 4 wins won last year.

Answer:

the answer is 51.315

Step-by-step explanation:

hope i was able to help you out

Answer:

y = 4

Step-by-step explanation:

2(4y - 9) = 14

8y - 18 = 14

8y = 32

y = 4

Answer:

y = 4

Step-by-step explanation:

Simplifying

2[4y + -9] = 14

Reorder the terms:

2[-9 + 4y] = 14

[-9 * 2 + 4y * 2] = 14

[-18 + 8y] = 14

Solving

-18 + 8y = 14

Solving for variable 'y'.

Move all terms containing y to the left, all other terms to the right.

Add '18' to each side of the equation.

-18 + 18 + 8y = 14 + 18

Combine like terms: -18 + 18 = 0

0 + 8y = 14 + 18

8y = 14 + 18

Combine like terms: 14 + 18 = 32

8y = 32

Divide each side by '8'.

y = 4

Answer: 1.2

Step-by-step explanation:

Answer:

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