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vodka [1.7K]
3 years ago
13

Solve the inequality for x. x-c/d > y (for d > 0)

Mathematics
1 answer:
babymother [125]3 years ago
6 0

Answer:

x>y+\dfrac{c}{d}

Step-by-step explanation:

The given inequality is :

x-\dfrac{c}{d}>y

We need to solve the inequality for x.

Adding \dfrac{c}{d} to the both sides of the inequality.

x-\dfrac{c}{d}+\dfrac{c}{d}>y+\dfrac{c}{d}\\\\x>y+\dfrac{c}{d}

Hence, the solution the inequality is x>y+\dfrac{c}{d}.

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A train travels 51 kilometers in 4 hours, and then 69 kilometers in 5 hours. What is its average speed?
nata0808 [166]

add the mileage 51+69 = 120 km

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 now divide the two

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4 years ago
If you are given the surface area of a square pyramid and the area of the base, how could you calculate the area of each side of
stiv31 [10]

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Step-by-step explanation:

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8 0
3 years ago
A scientist listed the volumes, in milliliters, of some liquids used in an experiment.
Aloiza [94]

Answer:

B) 1.078 < 1.23  (T)

Step-by-step explanation:

A) 1.23 < 1.203  (F)

B) 1.078 < 1.23  (T)

C) 1.17 > 1.203  (F)

D) 1.078 > 1.17 (F)

4 0
3 years ago
Read 2 more answers
Calculate the sample standard deviation and sample variance for the following frequency distribution of heart rates for a sample
adelina 88 [10]

Answer:

\sigma = 12.5 ---- sample standard deviation

\sigma^2 = 157.2 ---- sample variance

Step-by-step explanation:

Solving (a): The sample variance

First, we calculate the midpoint of each class (this is the average of the limits)

So, we have:

x_1 = \frac{56 + 64}{2} = 60

x_2 = \frac{65 + 73}{2} = 69

And so on

So, the table becomes:

\begin{array}{cc}{x} & {f} & {60} & {11} & {69} & {15} & {78} & {14} & {87} & {4} & {96} & 11 \ \end{array}

Calculate the mean

\bar x = \frac{\sum fx}{\sum f}

\bar x = \frac{60*11+69*15+78*14+87*4+96*11}{11+15+14+4+11}

\bar x = \frac{4191}{55}

\bar x = 76.2

The variance is:

\sigma^2 = \frac{\sum f(x - \bar x)^2}{\sum f - 1}

So, we have:

\sigma^2 = \frac{(60 - 76.2)^2*11+(69 - 76.2)^2*15+(78 - 76.2)^2 *14+(87 - 76.2)^2*4+(96 - 76.2)^2*11}{11+15+14+4+11-1}

\sigma^2 = \frac{8488.8}{54}

\sigma^2 = 157.2

The sample standard deviation is:

\sigma = \sqrt{\sigma^2

\sigma = \sqrt{157.2

\sigma = 12.5

Solving (b): The sample variance

In (a), we calculate the sample variance to be:

\sigma^2 = 157.2

6 0
3 years ago
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