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NikAS [45]
3 years ago
12

Classify the two given samples as independent or dependent. sample​ 1: the scores of 20 students who took the act sample​ 2: the

scores of 20 different students who took the sat dependent independent
Mathematics
1 answer:
topjm [15]3 years ago
3 0

Classify the two given samples as independent or dependent.

sample​ 1: the scores of 20 students who took the act

sample​ 2: the scores of 20 different students who took the sat

Solution: The two given samples are independent samples because in both the samples, the scores of one student will not affect the scores of other students.

Independent samples are samples that are selected randomly so that its observations do not depend on the values other observations.


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Write an equation in slope intercept form for the line that passes through 3,4 and is parallel to y=-2x-2
kow [346]
Y = -2x - 2. Slope here is -2. A parallel line will have the same slope.

y = mx + b
slope(m) = -2
(3,4)...x = 3 and y = 4
now we sub and find b, the y int
4 = -2(3) + b
4 = - 6 + b
4 + 6 = b
10 = b

so ur parallel equation is : y = -2x + 10
4 0
3 years ago
Consider the cubic function f(x) = x^3 + ax^2 + bx + 4 where (a) and (b) are constants. When f(x) is divided by x-3, the remaind
Debora [2.8K]

Answer:

see explanation

Step-by-step explanation:

Using the Remainder theorem

If f(x) is divided by (x - h) then f(h) = remainder, thus

f(3) = 3³ + a(3)² + b(3) + 4 = 10, that is

27 + 9a + 3b + 4 = 10

9a + 3b + 31 = 10 ( subtract 31 from both sides )

9a + 3b = - 21 → (1)

f(- 1) = (- 1)³ + a(- 1)² + b(- 1) + 4 = 6, that is

- 1 + a - b + 4 = 6

a - b + 3 = 6 ( subtract 3 from both sides )

a - b = 3 → (2)

Rearrange (2) expressing a in terms of b

a = 3 + b → (3)

Substitute a = 3 + b into (1)

9(3 + b) + 3b = - 21 ← distribute and simplify left side

27 + 9b + 3b = - 21

12b + 27 = - 21 ( subtract 27 from both sides )

12b = - 48 ( divide both sides by 12 )

b = - 4

Substitute b = - 4 into (3)

a = 3 - 4 = - 1

Hence a = - 1 and b = - 4

8 0
2 years ago
Plot point C(2,7). If M is the midpoint of CD , what are the coordinates of D?
Y_Kistochka [10]

Answer:

The coordinates of D is (-4,-9)

Step-by-step explanation:

Given

C = (2,7)

<em>M=(-1,-1)  ----- Missing part of question</em>

Required

Determine the coordinates of D

<em>Let the coordinates of D be (x₂,y₂)</em>

<em>We'll solve this question using mid point formula;</em>

<em></em>M(x,y) = (\frac{x_1+x_2}{2},\frac{y_1+y_2}{2})<em></em>

<em>Where</em>

C(x_1,y_1) = (2,7)    and     M(x,y) = (-1,-1)

Put these values in the formula

(-1,-1) = (\frac{2+x_2}{2},\frac{7+y_2}{2})

By comparison;

-1 = \frac{2+x_2}{2}  and -1 = \frac{7+y_2}{2}

-1 = \frac{2+x_2}{2}

Multiply both sides by 2

-2 = 2 + x_2

Subtract 2 from both sides

-2 -2 = x_2

x_2 = -4

-1 = \frac{7+y_2}{2}

Multiply both sides by 2

-2 = 7 + y_2

Subtract 7 from both sides

-2 - 7 = y_2

y_2 = -9

<em>Hence, the coordinates of D is (-4,-9)</em>

4 0
3 years ago
Twenty-five sixth-grade students were asked to estimate how many hours a week they spend talking on the phone. This dot plot rep
RUDIKE [14]

Answer:

where is the dot plot??

Step-by-step explanation:

7 0
2 years ago
What is 8(2x+5)=16x+40?
polet [3.4K]

Answer:

x = infinite amount of solutions

General Formulas and Concepts:

<u>Pre-Algebra</u>

Order of Operations: BPEMDAS

  1. Brackets
  2. Parenthesis
  3. Exponents
  4. Multiplication
  5. Division
  6. Addition
  7. Subtraction
  • Left to Right

Equality Properties

Step-by-step explanation:

<u>Step 1: Define Equation</u>

8(2x + 5) = 16x + 40

<u>Step 2: Solve for </u><em><u>x</u></em>

  1. Distribute 8:                                  16x + 40 = 16x + 40
  2. Subtract 40 on both sides:          16x = 16x
  3. Divide 16 on both sides:               x = x

Here we see that <em>x</em> does indeed equal <em>x</em>.

∴ <em>x</em> has an infinite amount of solutions.

3 0
2 years ago
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