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Ray Of Light [21]
3 years ago
15

Aaron surveyed a group of students about the number of pets they own. He recorded the data in the dot plot below.

Mathematics
1 answer:
photoshop1234 [79]3 years ago
7 0

Answer:

Step-by-step explanation:

18,  count the dots. The number line aka 0-7 is just showing the number of possible pets a person could have

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Which of the following graphs represents the function f(x) = x2 + x − 6?
Darya [45]

The answer is: D


Step-by-step explanation:

Direction: Opens Up

Vertex: ( −1/2, −25/4)

Focus: (−1/2, −6)

Axis of Symmetry: x = -12

Directrix:    y = -132                        


3 0
3 years ago
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There are 81 members in the marching band. The director wants to arrange the band members in rows and columns so that there are
OLga [1]
9 rows and 9 columns
3 0
2 years ago
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A research firm tests the miles-per-gallon characteristics of three brands of gasoline. Because of different gasoline performanc
Anni [7]

Answer:

A.) At α = 0.05, is there a significant difference in the mean miles-per-gallon characteristics of the three brands of gasoline.

B.)<u><em>The advantage of attempting to remove the block effect is</em></u>

The completely randomized designs does not prove that H0 is incorrect only that it cannot be rejected.

Step-by-step explanation:

<em><u /></em>

<em><u>Using Two-way ANOVA method</u></em>

Given problem

<em><u>Observation              I          II       III          Row total (xr)</u></em>

A                              18 21 20            59

B                            24 26 27             77

C                            30 29 34             93

D                            22 25 24            71

<u>E                            20 23 24           63                      </u>

Col total (xc)             114 124 129        367

∑x²=9233→(A)

∑x²c/r

=1/5(114²+124²+129²)

=1/5(12996+15376+16641)

=1/5(45013)

=9002.6→(B)

∑x²r/c

=1/3(59²+77²+93²+71²+67²)

=1/3(3481+5929+8649+5041+4489)

=1/3(27589)

=9196.3333→(C)

(∑x)²/n

=(367)²/15

=134689/15

=8979.2667→(D)

Sum of squares total

SST=∑x²-(∑x)²/n

=(A)-(D)

=9233-8979.2667

=253.7333

Sum of squares between rows

SSR=∑x²r/c-(∑x)²/n

=(C)-(D)

=9196.3333-8979.2667

=217.0667

Sum of squares between columns

SSC=∑x²c/r-(∑x)²/n

=(B)-(D)

=9002.6-8979.2667

=23.3333

Sum of squares Error (residual)

SSE=SST-SSR-SSC

=253.7333-217.0667-23.3333

=13.3333

<u>ANOVA table</u>

Source                 Sums         Degrees      Mean Squares

of Variation       of Squares   of freedom

<u>                               SS                 DF              MS       F p-value</u>

B/ w     SSR=217.0667              4 MSR=54.2667    32.56 0.0001

rows

B/w     SSC=23.3333         c-1=2 MSC=11.6667        7 0.01

columns

<u>Error (residual)SSE=13.3333 (r-1)(c-1)=8 MSE=1.6667                  </u>

<u>Total SST=253.7333 rc-1=14                                                        </u>

Conclusion:

<u> 1. F for between Rows</u>

The critical region for F(4,8) at 0.05 level of significance=3.8379

The calculated F for Rows=32.56>3.8379

Therefore H0 is rejected

<u>2. F for between Columns</u>

The critical region for F(2,8) at 0.05 level of significance=4.459

We see that the calculated F for Colums=7>4.459

therefore H0 is rejected,and concluded that there is significant differentiating between columns

<u><em>Part B:</em></u>

To analyze the data for completely  randomized designs click on anova two factor without replication  in the data analysis dialog box of the excel spreadsheet.

The following table is obtained

Source DF             Sum                  Mean           F Statistic

<u>                 (df1,df2)    of Square (SS) Square (MS)                    P-value</u>

Factor A       1 1496.5444 1496.5444 769.6514          0.001297

Rows

Factor B -     2 19.4444           9.7222               5                  0.1667

Columns

Interaction

AB               2    3.8889   1.9444        0.1013         0.9045

<u> Error     12   230.4            19.2                                           </u>

<u>Total 17 1750.2778 102.9575                                                         </u>

<u />

<u>Factor - A- Rows</u>

Since p-value < α, H0 is rejected.

<u>Factor - B- Columns</u>

Since p-value > α, H0 can not be rejected.

The averages of all groups assume to be equal.

<u>Interaction AB</u>

Since p-value > α, H0 can not be rejected.

<u><em>The advantage of attempting to remove the block effect is</em></u>

The completely randomized designs does not prove that H0 is incorrect only that it cannot be rejected.

3 0
2 years ago
A.B,and C are collinear. AB=5x-19,and BC= 3x+4. Find an expression for AC if B is between A and C.
uysha [10]
Find A <span>if B is between A and C.
</span><span>A.B,and C are collinear so A, B and C are line up in a line</span>

AC = AB + BC

AB=5x-19,and BC= 3x+4 given;

So

AC = 5x-19 + 3x+4

Simplify

AC = 8x -15

4 0
3 years ago
Need help on numbers 1 and 2 ill mark brainliest if they are right
geniusboy [140]

Question author, it's spelled pi not pie, and we use just use the Greek letter π.  Students, demand better from your teachers.

1. Rectangular prism, aka a box. Volume is length times width times height.

V = 5×7×9 = 315 cubic feet

That's cubic feet of course, the product of three lengths.  We didn't even need to do the problem, just look for the common answer and pick the one with the right units.  I just saw that same pattern in a volume problem yesterday.

Answer: 315 cubic feet, first choice

2. Cylinder, volume is base area times height, πr²h.   We have a radius of r=14/2=7 yd and h=8 yd.  We're using π=3.14.

V = πr²h = 3.14(7²)(8) = 1230.88 cubic yds

Answer: 1230.9 cubic yards, last choice

5 0
3 years ago
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