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Georgia [21]
3 years ago
11

I'll mark brainliest and thank profile, just need help.

Mathematics
2 answers:
RideAnS [48]3 years ago
8 0

Answer:

The equation of the regression line for the following data is:

y=2.4x+120.1

Step-by-step explanation:

We are given a set of data values in table form as:

           Day(x)                  Number of visitors(y)

               1                              120

               2                             124

               3                             130

               4                              131

               5                              135

               6                              132

               7                              135

Hence, when we draw a scatter plot with the help of these data points using the linear regression calculator we see that the regression line is a line with y-intercept as (0,120.1) and x-intercept as  (-50.04,0)

Hence, the regression line for the following data is:

                   y=2.4x+120.1

Tom [10]3 years ago
3 0

Answer:

y = 2.4x + 120.1

Step-by-step explanation:

Given table,

x              1             2              3              4             5               6          7

f(x)         120        124           130         131          135          132       135

Let the linear equation that shows the given table is,

y=mx + b

Where,

m =\frac{\sum xy - \sum x \sum y}{n\sum x - (\sum x)^2}

b=\frac{\sum y - m\sum x}{n}

Here, n = 7

Using graphing calculator,

m = 2.35714 ≈ 2.4,

b = 120.143 ≈ 120.1

Hence, the required equation would be,

y = 2.4x + 120.1

i.e. LAST option is correct.

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Trava [24]
A pair of pants cost 30 and a shirt cost 40
5 0
3 years ago
Solve for x. (TYPE ONLY THE NUMBER FOR YOUR ANSWER).
scoray [572]

9514 1404 393

Answer:

  x = 7

Step-by-step explanation:

The sum of angle measures in a quadrilateral is 360°.

  (8x-5)° +107° +83° +119° = 360°

  8x = 56 . . . . . . . divide by °, subtract 304

  x = 7 . . . . . . . . . . divide by 8

3 0
3 years ago
Just number 3 is fine please but if you could also 4​
PIT_PIT [208]

Answer:

3. r = -8

4. x = -5

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>

2(-5r + 2) = 84

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

  1. Divide 2 on both sides:                    -5r + 2 = 42
  2. Subtract 2 on both sides:                 -5r = 40
  3. Divide -5 on both sides:                    r = -8

<u>Step 3: Check</u>

<em>Plug in r into the original equation to verify it's a solution.</em>

  1. Substitute in <em>r</em>:                   2(-5(-8) + 2) = 84
  2. Multiply:                             2(40 + 2) = 84
  3. Add:                                   2(42) = 84
  4. Multiply:                             84 = 84

Here we see that 84 does indeed equal 84.

∴ r = -8 is a solution of the equation.

<u>Step 4: Define equation</u>

264 = -8(-8 + 5x)

<u>Step 5: Solve for </u><em><u>x</u></em>

  1. Divide both sides by -8:                    -33 = -8 + 5x
  2. Add 8 to both sides:                          -25 = 5x
  3. Divide 5 on both sides:                      -5 = x
  4. Rewrite:                                               x = -5

<u>Step 6: Check</u>

<em>Plug in x into the original equation to verify it's a solution.</em>

  1. Substitute in<em> x</em>:                    264 = -8(-8 + 5(-5))
  2. Multiply:                               264 = -8(-8 - 25)
  3. Subtract:                              264 = -8(-33)
  4. Multiply:                               264 = 264

Here we see that 264 does indeed equal 264.

∴ x = -5 is a solution of the equation.

8 0
3 years ago
A chord of a circular clock is 48 inches long, and its midpoint is 7 inches from the center of the circle. What is the radius of
Sphinxa [80]

ANSWER

The radius is 25 inches

EXPLANATION

From the diagram, the radius of the circle is AC.

From the Pythagoras Theorem,

{r}^{2}  =  {7}^{2}  +  {24}^{2}

r^{2}  =  49 +  576

Simplify

r^{2}  = 625

Take positive square root,

r =  \sqrt{625}

r = 25

Hence the radius is 25 inches

8 0
3 years ago
Bob wants to plant a 7 foot by 10 foot garden with a uniform border of petunias around the outside and still have 28 square feet
skelet666 [1.2K]

Answer:

1.5 feet

Step-by-step explanation:

Bob wants to plant a 7 foot by 10 foot garden.

Area = 7\times10=70 square feet

He wants to make a uniform border of petunias around the outside and still have 28 square feet to plant tomatoes and roses in the middle.

Means we have to factor 28 in a way that the length and width is less than 10 and 7.

28 = 2 x 2 x 7

Means 4 feet can be width and 7 feet the length of the area where tomatoes need to be planted.

So, we have 10-7=3 feet less than outer garden means at each side 3/2=1.5 feet decreases.

Similarly, we have 7-4=3 feet less width and at each side it is 1.5 feet.

Therefore, the border of petunias will be 1.5 feet wide on all sides.

4 0
4 years ago
Read 2 more answers
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