1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
netineya [11]
2 years ago
8

Which is a unit rate? 15 miles per gallon

Mathematics
1 answer:
Over [174]2 years ago
6 0

Step-by-step explanation:

Step:1

          From given, the rate is

                          = 15 miles per gallon

                          = \frac{15}{1}115 = 15 miles.........................(1)

Step:2

         Check for Option A,

                           = 30 miles per 3 gallons

                           = \frac{30}{3}330 = 10 miles.....................(2)

         From the eqn (1) and (2),

                                 Eqn (1) ≠ Eqn (2)

Step:3

           Check for Option B and C are not match with given because, Miles provided first or top then the gallons provided the last or bottom.

Step:4

         Check for Option  D,

                           = 60 miles per 4 gallons

                           = \frac{60}{4}460 = 15 miles.........................(3)

           From the eqn (1) and (3),

                              Eqn (1) ≠ Eqn (3)

Result:

         The equivalent unit rate for 15 miles per gallon is 60 miles per 4 gallons (\frac{60 miles}{4 gallons}4gallons60miles ) .

                         

You might be interested in
Write a polynomial function with zeros -3,5,8​
klemol [59]

Answer:

x^3-10x^2+x+120

Step-by-step explanation:

Assuming you mean roots -3, 5, 8

These happen when we have (x+3)(x-5)(x-8)=0

Expand this

(x^2-2x-15)(x-8)=0

=x^3-2x^2-15x-8x^2+16x+120

=x^3-10x^2+x+120

3 0
3 years ago
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
3 years ago
The Harper family drove 510 miles on their vacation. Mr. Harper and Mrs. Harper took turns driving. Mr. Harper drove 4 times as
Korvikt [17]
Mrs. Harper drove 102 miles and Mr. Harper drove 408. Am I right?
6 0
3 years ago
Read 2 more answers
What is the best estimate of the area of the figure if each square has a side length of 1 mm?
Tanya [424]

29 square inches

Step-by-step explanation:

5 x 5 = 25

Triangles = 0.5

25 + 2 = 27

27 + (4 x 0.5)

27 + 2 =29

6 0
3 years ago
Item 13<br> Factor out the coefficient of the variable.<br><br> The expression 14y+38 factored is
klemol [59]

Answer:

2(7y+19)

Step-by-step explanation:

14y+38=2(7y+19)

8 0
3 years ago
Other questions:
  • 600 pages in 5 days. On the first day 148 pages read and each day after that he read the same number of pages p write an equatio
    12·2 answers
  • Solve the equation below<br><br> 3h - 2( 4h - 5 ) = 10 - 5h
    14·2 answers
  • if it takes 30 steps to walk from the front of the store to the back and 40 steps to walk from the left of the store to the righ
    10·2 answers
  • Plsss help me!! I’ll make you Brainly
    5·1 answer
  • Does anyone know the answer help pls?
    5·2 answers
  • Please help urgently extra points and mark brainlist
    8·1 answer
  • Which is the graph of the system x + 3y &gt; –3 and y &lt; One-halfx + 1?
    12·2 answers
  • Pls help ASAP. Help pls
    12·2 answers
  • A triangle is shown on the right. What is the measure of the missing angle of the triangle? (Please leave a small explanation)
    9·1 answer
  • Segment AB is tangent to T at B. What is the radius of T?
    10·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!