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elixir [45]
3 years ago
9

Suppose the interval ​[negative 3−3​,negative 1−1​] is partitioned into nequals=44 subintervals. What is the subinterval length

Upper Delta xΔx​? List the grid points x0​, x1​, x2​, x3​, x4. Which points are used for the​ left, right, and midpoint Riemann​ sums?
Mathematics
1 answer:
Kobotan [32]3 years ago
6 0

Answer: Δx​ = 0.5

Step-by-step explanation:

We have the interval:

​[−3​, −1​]

and we partition it into 4 equal intervals.

first, the range of our interval is equal to the difference between the extremes, this is:

-1 - (-3) = -1 + 3 = 2

Then, if we divide it into 4, we have 4 segments with a range of:

2/4 = 0.5

Then the subinterval delta is 0.5, and the 4 intervals are:

​[−3​, -2.5​],  ​[−2.5, −2​],  ​[−2​, −1.5​],  ​[−1.5, −1​]

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Lannister checks out 6 set of books from the library each set has the same number of books she reads 7 of the books and she has
fgiga [73]

Answer:

3

Step-by-step explanation:

Lannister checks out 6 sets of book

Each set had the same number of books

She reads 7 books and has 11 more to go

Therefore the number of books in each set can be calculated as follows

= 11+7

= 18

18/6

= 3

Hence there are 3 books in each set

6 0
3 years ago
does the amount of water you can fit in a aquarium relfect the volume or the surface area of an aquarium?​
scoundrel [369]

Answer:

<h2>Volume!</h2>

Step-by-step explanation:

it the amount of space that can be occupied

7 0
3 years ago
Suppose ACT Composite scores are normally distributed with a mean of 20.6 and a standard deviation of 5.2. A university plans to
zimovet [89]

Answer:

The minimum score required for admission is 21.9.

Step-by-step explanation:

Problems of normally distributed samples are solved using the z-score formula.

In a set with mean \mu and standard deviation \sigma, the zscore of a measure X is given by:

Z = \frac{X - \mu}{\sigma}

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.

In this problem, we have that:

\mu = 20.6, \sigma = 5.2

A university plans to admit students whose scores are in the top 40%. What is the minimum score required for admission?

Top 40%, so at least 100-40 = 60th percentile. The 60th percentile is the value of X when Z has a pvalue of 0.6. So it is X when Z = 0.255. So

Z = \frac{X - \mu}{\sigma}

0.255 = \frac{X - 20.6}{5.2}

X - 20.6 = 0.255*5.2

X = 21.9

The minimum score required for admission is 21.9.

8 0
3 years ago
PLEASE HELP!<br> 4x + 2y = 6<br> -2x + 2y = 18<br> There combined answer please!<br> SHOW YA WORK
Minchanka [31]
Your answer, in your set notation, is
{-2, 7}

5 0
3 years ago
Which expression is equivalent to the following complex fraction? StartFraction 1 Over x EndFraction minus StartFraction 1 Over
Darina [25.2K]

Answer:

\frac{y-x}{x+y}

Step-by-step explanation:

We are given that fraction

\frac{\frac{1}{x}-\frac{1}{y}}{\frac{1}{x}+\frac{1}{y}}

We have to find the expression which is equivalent to given  fraction .

\frac{1}{x}-\frac{1}{y}=\frac{y-x}{xy}

\frac{1}{x}+\frac{1}{y}=\frac{x+y}{xy}

Substitute the values  then, we get

\frac{\frac{y-x}{xy}}{\frac{y+x}{xy}}

We know that

\frac{\frac{a}{b}}{\frac{x}{y}}=\frac{a}{b}\times \frac{y}{x}

Using the property then, we get

\frac{y-x}{xy}\times \frac{xy}{x+y}

\frac{y-x}{x+y}

This is required expression which is equivalent to given expression.

6 0
3 years ago
Read 2 more answers
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