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3 years ago

Are the expressions -0.5(3x + 5) and -1.5x + 2.5 equivalent? Explain why or why not.

Mathematics

1 answer:

Sedbober [7]3 years ago

7 0

Answer:

No, because the first equation equals -1.5x + 2.5 when simplified, but when the second equation is simplified it equals 1

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The following table shows the number of hours some high school students in two towns spend riding the bus each week:

katen-ka-za [31]

Hey there again,

The first step is to put the data in order, as shown in the diagram below

Five summaries of Town A

Lowest Value = 10

Lower Quartile, = 16.5 (The value falls between 16 and 17)

Median, = 25

Upper Quartile, = 40 (The middle value between 38 and 42)

Highest value = 42

Five summaries of Town B

Lowest value = 0

Lower Quartile, = 4 (The middle value between 0 and 8)

Median, = 9

Upper Quartile, = 20 (The middle value between 19 and 21)

Highest Value = 30

Hoped I Helped

8 0

3 years ago

Determine whether the following statements are true and give an explanation or a counter example. a. The Trapezoid Rule is exact

Norma-Jean [14]

Answer:

statement is TRUE

statement is FALSE

statement is TRUE

Step-by-step explanation:

(a)

By using the Trapezoidal Rule, the definite integral can be computed by applying linear interpolating formula on each sub interval, and then sum-up them, to get the value of the integral

So, in computing a definite integral of a linear function, the approximated value occurred by using Trapezoidal Rule is same as the area of the region. Thus, the value of the definite integral of a linear function is exact, by using the Trapezoidal Rule.

Therefore, the statement is TRUE

(b) Recollect that for each rule of both the midpoint and trapezoidal rules, the number of sub-internals, n increases by a factor of a. then the error decreases by a factor of a^2.

So, for the midpoint rule, the number of sub-intervals, n is increased by a factor of 3, then the error is decreased by a factor of 32 = 9, not 8. Therefore, the statement is FALSE

(c) Recollect that for each rule of both the midpoint and trapezoidal rules, the number of sub-internals, n increases by a factor of a. then the error decreases by a factor of a^2.

So, for the trapezoidal rule, the number of sub-internals, n is increased by a factor of 4. then the error is decreased by a factor of 42 = 16

Therefore, the statement is TRUE

3 0

2 years ago

What is the domain of the function y=sqrt x?

vova2212 [387]

Square root is not defined to for negative values. For negative values, the answer of square root is a complex number which is not in Real Domain.

So any such values, for which the expression is not defined are not in the Domian. So the domian of square root of x will be All real numbers greater than or equal to 0.

This can be expressed as:

[0 , ∞)
or
x ≥ 0

8 0

2 years ago

Read 2 more answers

Asap math. .........

Mademuasel [1]

Answer: 15

Step by step explanation:

4 0

3 years ago

In Applied Life Data Analysis (Wiley, 1982), Wayne Nelson presents the breakdown time of an insulating fluid between electrodes

Ede4ka [16]

Answer:

xbar=14.3421

s=18.7920

Step-by-step explanation:

sample mean

xbar = ∑x/n = (0.20 + 0.73 + 0.99 +1.29 + 2.84 + 3.34 + 4.07 + 4.69 + 4.86 + 6.53 + 7.45 + 8.07 + 8.21 + 12.39 + 31.67 + 32.53 + 33.92 + 36.00 +72.72)/19=14.3421

where n stands for the size of the sample

sample deviation

s= $\sqrt{}$ (∑ $(x_i - x bar )^2$ /(n-1)) = $\sqrt{}$ (∑ $x_i^2$ - $n*xbar^2$ )/(n-1)) = $\sqrt{}$ (0.20^2 + 0.73^2 + 0.99^2 +1.29^2 + 2.84^2 + 3.34^2 + 4.07^2 + 4.69^2 + 4.86^2 + 6.53^2 + 7.45^2 + 8.07^2 + 8.21^2 + 12.39^2 + 31.67 ^2+ 32.53^2 + 33.92^2 + 36.00^2 +72.72^2-19*14.3421^2)/(19-1)) = 18.7920

3 0

3 years ago