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4 years ago

Write the following expression with as few symbols as possible, using the notational conventions:

Mathematics

1 answer:

My name is Ann [436]4 years ago

6 0

Answer:

The simplified expressions are (x + y·z' + t) and x·(x + y' + z) respectively.

Step-by-step explanation:

The expressions provided are:

$(i)\ x+((y\times (z')) +t)\\\\(ii)\ x\times((x+(y'))+z)$

(i)

Simplify the first expression with as few symbols as possible:

$x+((y\times (z')) +t)=x+(yz'+t)$

$=x+yz'+t$

(ii)

Simplify the second expression with as few symbols as possible:

$x\times((x+(y'))+z)=x\times ((x+y')+z)$

$=x (x+y'+z)$

Thus, the simplified expressions are (x + y·z' + t) and x·(x + y' + z) respectively.

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What is 24 Divided by 24.5

Nadusha1986 [10]

0.97

Step-by-step explanation:

24 Divided by 24.5 is 0.97

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3 years ago

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Vhich of the following functions have graphs that oscillate? Select all that apply

gladu [14]

Answer:

Only options A and B are correct, i.e. y = sin∅ and y = cos∅.

Step-by-step explanation:

The graphs that oscillate, should be periodic in nature and continuous functions.

We know all trigonometric functions are periodic in nature. But not all trigonometric functions are continuous.

The function is continuous if its values are defined at all angles and it should not be undefined for any particular angle.

We know the following facts:-

tan(90°) = ∞

sec(90°) = ∞

csc(0°) = ∞

cot(0°) = ∞

Only sin and cos don't have values ∞ at any angle. It means only sin and cos are continuous functions.

Hence, only options A and B are correct, i.e. y = sin∅ and y = cos∅.

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3 years ago

The Wall Street Journal reported that Walmart Stores Inc. is planning to lay off employees at its Sam's Club warehouse unit. App

tatyana61 [14]

Answer:

a) $\bar X = 52$

$Median = 55$

b) $Q_1= \frac{44+44}{2}=44$

$Q_3= \frac{57+60}{2}=58.5$

c) $Range = Max -Min = 69-36=33$

d) $s^2 =100.1429$

$s= \sqrt{100.143}=10.0071$

e) $Lower = Q_1 -1.5 IQR = 44-1.5(58.5-44) = 22.25$

$Upper = Q_1 +1.5 IQR = 44+1.5(58.5-44) = 65.75$

A possible outlier would be the value of 69 since its above the upper limti for the boxplot.

Step-by-step explanation:

For this case we have the following dataset:

55 56 44 43 44 56 60 62 57 45 36 38 50 69 65

A total of 15 observations

Part a

We calculate the mean with the following formula:

$\bar X = \frac{\sum_{i=1}^{15} X_i}{15}$

And for this case we got $\bar X = 52$

For the median we ust need to order the data on increasing way like this:

36, 38,43,44,44,45,50,55,56,56,57,60,62,65,69

Since the number of observations is an odd number the median would be on the 8 position from the dataset ordered on this case:

$Median = 55$

Part b

In order to calculate the Q1 we need to select the following data:

36, 38,43,44,44,45,50,55

And the Q1 would be the average between the 4 and 5 positions like this:

$Q_1= \frac{44+44}{2}=44$

And for the Q3 we select these values:

55,56,56,57,60,62,65,69

And the Q3 would be the average between the 4 and 5 positions like this:

$Q_3= \frac{57+60}{2}=58.5$

Part c

The Range is defined as:

$Range = Max -Min = 69-36=33$

Part d

In order to calculate the sample variance we can use the following formula:

$s^2 = \frac{\sum_{i=1}^n (X_i -\bar X)^2}{n-1}$

And if we replace we got:

$s^2 =100.1429$

And the deviation is just the square root of the variance:

$s= \sqrt{100.143}=10.0071$

Part e

For this case we need to find the lower and upper limits for the boxplot given by:

$Lower = Q_1 -1.5 IQR = 44-1.5(58.5-44) = 22.25$

$Upper = Q_1 +1.5 IQR = 44+1.5(58.5-44) = 65.75$

A possible outlier would be the value of 69 since its above the upper limti for the boxplot.

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4 years ago

Please help asap!!!! Merry Christmas!!! <3

Tresset [83]

Answer: B) Life in the wilderness is a constant struggle against death.

We have evidence of this by the passage (third paragraph)

"On the sled, in the box, lay a third man whose toil was over, --a man whom the Wild had conquered and beaten down until he would never move nor struggle again. It is not the way of the Wild to like movement. Life is an offence to it, for life is movement; and the Wild aims always to destroy movement."

It basically says that the Wild aims to destroy life just due to its destructive, cruel, and cold nature. Unfortunately the man in the box is one example of this where it appears he is dead and his two other friends are possibly carrying his body back to town with the aid of the sled dogs.

The portion "It is not the way of the Wild to like movement" is basically the same as the author saying "It is not the way of the Wild to like life" since the author states that "life is movement". In my opinion, movement isn't just simple locomotion, but it could also apply to more general types of movements that all life possesses (so you could apply this logic to plants as well in some fashion).

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3 years ago

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Tabby sells clothing at a retail store, and she earns a commission of 6.25% on all items she sells. Last week she sold a pair of

vlada-n [284]

Answer:

$5.08

Step-by-step explanation:

<h2>you add up all costs, getting to $81.35 and then you multiply it by 0.0625 (6.25% divided by 100) to get $5.08</h2>

6 0

4 years ago