All categories

3 years ago

-36 times a number minus 75 is equal to 65 less than the number. What is the number?

1 answer:

8 0

−36n−75=n−65−36n−75−n=n−65−n
−37n−75=−65−37n−75+75=−65+75−37n=10−37n−37=10−37

n= −10/37 <--------- answer

You might be interested in

Suppose that the data for analysis includes the attributeage. Theagevalues for the datatuples are (in increasing order) 13, 15,

Bas_tet [7]

Answer:

a) $\bar X = \frac{\sum_{i=1}^{27} X_i }{27}= \frac{809}{27}=29.96$

$Median = 25$

b) $Mode = 25, 35$

Since 25 and 35 are repeated 4 times, so then the distribution would be bimodal.

c) $Midrange = \frac{70+13}{3}=41.5$

d) $Q_1 = \frac{20+21}{2} =20.5$

$Q_3 =\frac{35+35}{2}=35$

e) Min = 13 , Q1 = 20.5, Median=25, Q3= 35, Max = 70

f) Figura attached.

g) When we use a quantile plot is because we want to show the percentage or the fraction of values below or equal to an specified value for the distribution of the data.

By the other hand the quantile-quantile plot shows the quantiles of the distribution values against other selected distribution (specified, for example the normal distribution). If the points are on a straight line we assume that the data values fit very well to the hypothetical distribution selected.

Step-by-step explanation:

For this case w ehave the following dataset given:

13, 15, 16, 16, 19, 20, 20, 21, 22, 22, 25, 25, 25, 25, 30,33, 33, 35, 35, 35, 35, 36, 40, 45, 46, 52, 70.

Part a

The mean is calculated with the following formula:

$\bar X = \frac{\sum_{i=1}^{27} X_i }{27}= \frac{809}{27}=29.96$

The median on this case since we have 27 observations and that represent an even number would be the 14 position in the dataset ordered and we got:

$Median = 25$

Part b

The mode is the most repeated value on the dataset on this case would be:

$Mode = 25, 35$

Since 25 and 35 are repeated 4 times, so then the distribution would be bimodal.

Part c

The midrange is defined as:

$Midrange = \frac{Max+Min}{2}$

And if we replace we got:

$Midrange = \frac{70+13}{3}=41.5$

Part d

For the first quartile we need to work with the first 14 observations

13, 15, 16, 16, 19, 20, 20, 21, 22, 22, 25, 25, 25, 25

And the Q1 would be the average between the position 7 and 8 from these values, and we got:

$Q_1 = \frac{20+21}{2} =20.5$

And for the third quartile Q3 we need to use the last 14 observations:

25, 30,33, 33, 35, 35, 35, 35, 36, 40, 45, 46, 52, 70

And the Q3 would be the average between the position 7 and 8 from these values, and we got:

$Q_3 =\frac{35+35}{2}=35$

Part e

The five number summary for this case are:

Min = 13 , Q1 = 20.5, Median=25, Q3= 35, Max = 70

Part f

For this case we can use the following R code:

> x<-c(13, 15, 16, 16, 19, 20, 20, 21, 22, 22, 25, 25, 25, 25, 30,33, 33, 35, 35, 35, 35, 36, 40, 45, 46, 52, 70)

> boxplot(x,main="boxplot for the Data")

And the result is on the figure attached. We see that the dsitribution seems to be assymetric. Right skewed with the Median<Mean

Part g

When we use a quantile plot is because we want to show the percentage or the fraction of values below or equal to an specified value for the distribution of the data.

6 0

4 years ago

Michael is making a card for his dad's birthday. He's shaded a triangular section on the card where he wants to write his dad a

artcher [175]

Answer:

Option C (72)

Step-by-step explanation:

In the figure attached we can see a rectangle ABCD with length 12 cm and width 9 cm.

A triangle PEF with height BE and base EF.

Since side AE = 3 cm, so side EB = EC = 9 - 3 = 6cm

and EF = AD = 12 cm

Now we will find the area of of the parts of the card that are not shaded.

Area of parts that are not shaded = Area of rectangle - area of shaded triangle

= (12×9) -

= 108 -

Option c) 72 cm² is the area of non shaded part.

Hope this helps!! -Mina

7 0

2 years ago

Read 2 more answers

What is 100(0.99988) rounded to the nearest tenth

Deffense [45]

Multiply first then round

3 0

3 years ago

Side = 40 side = 49 angle = 53°

Studentka2010 [4]

Whats your question?

8 0

3 years ago

Convert 8 miles into feet and then into inches.

Orlov [11]

Answer:

5,280 * 8 = 42,240

42,240 feet

42,240 * 12 = 506,880

506,880 inches

Step-by-step explanation:

5 0

3 years ago