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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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It is given that AB is parallel to CD and points E, G, H, and F are collinear. The measure of ZEGF is 180°, by the definition of
alex41 [277]

The completed statement filled in with the correct option is presented as follows;

It is given that AB is parallel to CD and points, E, G, H, and F are collinear. The measure of ‹EGF is 180° by the definition of a straight angle. ‹AGE and ‹AGF are adjacent, so the measure of ‹AGE plus the measure of ‹AGF equals the measure of angle ‹EGF. It can be said that the measure of ‹AGE plus the measure of ‹AGF equals 180°. <u>‹CHE and ‹AG</u><u>F</u><u> are same side interior angles</u>, so the measure of angle ‹CHE plus the measure of angle ‹AGF equals 180°.

Substituting once again means that the measure of ‹AGE plus the measure of angle ‹AGF equals the measure of angle ‹CHE plus the measure of ‹AGF. The measure of angle ‹AGE is equal to the measure of ‹CHE <u>u</u><u>sing the </u><u>Subtraction</u><u> </u><u>P</u><u>roperty of </u><u>E</u><u>quality</u>. Finally, by the definition of congruency, ‹AGE is congruent to ‹CHE

The correct option is therefore;

  • ‹CHE and ‹AGE are same side interior angles; using the Subtraction Property of Equality

<h3>What relationships between angles formed by parallel lines can be used to complete the paragraph?</h3>

Angles, ‹CHE and ‹AGF are angles formed on the same side of the common transversal, EF, and are formed on the interior part of AB and CD.

Given that ‹CHE and ‹AGF are both on the line FGHE, and together with ‹CHF and ‹AGE form two linear pair angles, ‹CHE and ‹AGF are supplementary angles and add up to 180°.

According to the substitution property of equality, both sides of an equation remain equal following the subtraction of the same quantity from both sides.

Given that we have:

‹AGE + ‹AGF = ‹CHE + ‹AGF

Subtracting ‹AGF from both sides gives;

‹AGE = ‹CHE (subtraction property of equality)

Learn more about the angles formed by parallel lines here:

brainly.com/question/17430387

#SPJ1

3 0
1 year ago
PLEASE HELP! Will give brainliest! A bag contains 5 pink marbles and 6 green marbles. Two marbles will be selected one at a time
Karolina [17]

Answer:

The selection of the two marbles are <u>dependent</u> because the selection of the pink marble <u>changes</u> the probability that a green marble is drawn next.

If the pink marble had been put back into the bag, the selection of the two marbles would have been <u>independent</u>

======================================================

Explanation:

The key phrase to focus on here is "This marble is placed on a table". It implies that we do not put it back into the bag, and also implies we don't put in a replacement either. Hence we consider this scenario as "no replacement".

In no replacement situations, we always have dependent events. The second selection depends on the first one.

The probability of picking green is 6/11 because there are 6 green out of 5+6 = 11 total. But if we picked a pink one first and didn't put it back, then the 11 drops to 10 and we get 6/10 = 3/5 as the new probability.

In other words,

  • before the pink marble is selected, the chances of green are 6/11
  • after the pink marble is selected, and not put back, the chances of green are now 6/10 = 3/5

Because this probability changes, it's sufficient evidence to say the event of picking green on the second selection is dependent on the first selection of selecting pink.

If the marble had been put back, then we'd revert back to the original state of the bag. That would mean the chances of green would stay at 6/11. Therefore, situations with replacement lead to independent events.

5 0
2 years ago
12 one half times one nine
pshichka [43]

Answer:

1\frac{7}{18}  or one seven eighteenths

Step-by-step explanation:

we know that

12 one half times one nine is the same that multiply 12 one half by one nine

so

(12\frac{1}{2})(\frac{1}{9})

Convert mixed number to an improper fraction

12\frac{1}{2}=12+\frac{1}{2}=\frac{12*2+1}{2}=\frac{25}{2}

substitute

(\frac{25}{2})(\frac{1}{9})=\frac{25}{18}

Convert to mixed number

\frac{25}{18}=\frac{18}{18}+\frac{7}{18}=1\frac{7}{18}

therefore

12 one half times one nine is one seven eighteenths

6 0
3 years ago
Given: A(12,9), B(-2,-5) Find: M​
VARVARA [1.3K]

Answer:

<h2>M = ( 5 , 2)</h2>

Step-by-step explanation:

The midpoint M of two endpoints of a line segment can be found by using the formula

M = ( \frac{x1 + x2}{2}  , \:  \frac{y1 + y2}{2} )

where

(x1 , y1) and (x2 , y2) are the points

From the question the points are

A(12,9), B(-2,-5)

The midpoint M is

M  =  (\frac{12 - 2}{2} , \:  \frac{9 - 5}{2} ) \\  = ( \frac{10}{2} , \:  \frac{4}{2} )

We have the final answer as

<h3>M = ( 5 , 2)</h3>

Hope this helps you

4 0
3 years ago
Read 2 more answers
Determine if its possible to form a triangle using the set of segments with the given measurement. explain please! 12 m, 5 m, 18
IRINA_888 [86]

Adding together the shorter two sides results in 17 m.  If these two sides were laid end to end, the sum of their sides (17 m) would be less than the length of the third side.  Thus, NO triangle could be constructed with this set of line segments.

6 0
3 years ago
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