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1 year ago

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Question 8 A water tank initially contained 51 liters of water. It is then drained at a constant rate of 2.5 liters per minute.

How many minutes have passed, m, when the tank contains 42 liters? Round to the nearest tenth.

1 answer:

Annette [7]1 year ago

6 0

Do 51 and 2.5 then when you get that add 42 to your answer

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Which of these tables is a ratio table? A 2-column table has 3 rows. Column 1 is labeled A with entries 2, 4, 5. Column 2 is lab

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Answer:

its b

Step-by-step explanation:

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1 year ago

Convert these unlike fractions to equivalent like fractions and add them. You must use the LCD to get the answer correct. If pos

Gnoma [55]

The converted fractions are 3/12 and 5/12 and the sum is 2/3

<h3>How to convert the fractions?</h3>

From the question, the fractions are given as

1/4 and 5/12

The denominators of these fractions are

4 and 12

So. we start by calculating the LCD of the denominators

So, we have

4 = 2* 2

12 = 2 * 2 * 3

This gives

LCD = 2 * 2 * 3

Evaluate

LCD = 12

This means that the common denominator must be 12

So, we have

1/4 and 5/12

Multiply 1/4 by 3/3

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When the fractions are added, we have

3/12 + 5/12 = (3 + 5)/12

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3/12 + 5/12 = 2/3

Hence, the sum of the fractions is 2/3

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7 months ago

A researcher compares differences in positivity between participants in a low-, middle-, or upper-middle-class family. If she ob

777dan777 [17]

Answer:

(2, 12)

Step-by-step explanation:

Analysis of variance (ANOVA) "is used to analyze the differences among group means in a sample".

The sum of squares "is the sum of the square of variation, where variation is defined as the spread between each individual value and the grand mean"

If we assume that we have $3$ groups and on each group from $j=1,\dots,n_j$ we have $n_j$ individuals on each group we can define the following formulas of variation:

$SS_{total}=\sum_{j=1}^p \sum_{i=1}^{n_j} (x_{ij}-\bar x)^2$

$SS_{between=Treatment}=SS_{model}=\sum_{j=1}^p n_j (\bar x_{j}-\bar x)^2$

$SS_{within}=SS_{error}=\sum_{j=1}^p \sum_{i=1}^{n_j} (x_{ij}-\bar x_j)^2$

And we have this property

$SST=SS_{between}+SS_{within}$

The degrees of freedom for the numerator on this case is given by $df_{num}=k-1=3-1=2$ where k =3 represent the number of groups.

The degrees of freedom for the denominator on this case is given by $df_{den}=df_{between}=N-K=15-3=12$ .

And the total degrees of freedom would be $df=N-1=15 -1 =14$

And the correct answer would be 2 degrees of freedom for the numerator and 12 for the denominator

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2 years ago

2x - 7y = 13<br> 3x + y = 8

Rufina [12.5K]

<span>A) 2x - 7y = 13
B) 3x + y = 8
Multiplying equation B by 7
B) 21x + 7y = 56 then adding it to A
</span><span>A) 2x - 7y = 13
23x = 69
x = 3
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2 years ago

Consider the line =+3x6y−8 . what is the slope of a line parallel to this line? what is the slope of a line perpendicular to thi

Reil [10]

<span>Two lines are parallel if their slope is the same.
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y = (-8x +5)/4
y = -2x + 5/4
The slope of the line we want is -2.
Two lines are perpendicular if the slope of the first line times the slope of the second line produces a product of negative one.
Since our slope is -2, we know that -2 times 1/2 yields -1.
The slope of the line perpendicular is 1/2. </span>

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2 years ago