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jeka57 [31]
3 years ago
11

during a winter storm, the price of the road salt had a 230% increase write 230% as a mixed numberin simplest form

Mathematics
1 answer:
amid [387]3 years ago
8 0

Answer:

2.3

Step-by-step explanation:

move the decimal to the right two times

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Margo borrows $500, agreeing to pay it back with 3% annual interest after 14
Akimi4 [234]

Answer:

\$17.50

Step-by-step explanation:

we know that

The simple interest formula is equal to

I=P(rt)

where

I is the Final Interest to pay

P is the amount of money borrowed

r is the rate of interest  

t is Number of Time Periods

in this problem we have

t=\frac{14}{12}\ years\\ P=\$500\\r=3\%=3/100=0.03

substitute in the formula above

I=500(0.03)(\frac{14}{12})

I=\$17.50

4 0
3 years ago
Robs age is twice the sum of Julias age and 10. Rob is 24 years old. Write and solve an equation to determine Julia's age.
levacccp [35]

Answer:

yo momma

Step-by-step explanation:

4 0
3 years ago
The stem-and-leaf plot shows the number of digs for the top 15 players at a volleyball tournament.
NeX [460]

Answer:

Step-by-step explanation:

Hello!

(Data and full text attached)

The stem and leaf plot is a way to present quantitative data.  Considering two-digit numbers, for example 50, the tens digits are arranged in the stem and the units determine the leafs.

So for the stem and leaf showing the digs of the top players of the tournament, the observed data is:

41, 41, 43, 43, 45, 50, 52, 53, 54, 62, 63, 63, 67, 75, 97

n= 15

Note that in the stem it shows the number 8, but with no leaf in that row, that means that there were no "eighties" observed.

a) 6 Players had more than 60 digs.

b)

To calculate the mean you have to use the following formula:

X[bar]= ∑x/n= (41 + 41 + 43 + 43 + 45 + 50 + 42 + 53 + 54 + 62 + 63 + 63 + 67 + 75 + 97)/15= 849/15= 56.6 digs

To calculate the median you have to calculate its position and then identify its value out of the observed data arranged from least to greatest:

PosMe= (n+1)/2= (15+1)/2= 8 ⇒ The median is in the eight place:

41, 41, 43, 43, 45, 50, 42, 53, 54, 62, 63, 63, 67, 75, 97

The median is Me= 53

53 is the value that separates the data in exact halves.

The mode is the most observed value (with more absolute frequency).

Consider the values that were recorded more than once

41, 41

43, 43

63, 63

41, 43 and 63 are the values with most absolute frequency, which means that this distribution is multimodal and has three modes:

Md₁: 41

Md₂: 43

Md₃: 63

The Range is the difference between the maximum value and the minimum value of the data set:

R= max- min= 97 - 41= 56

c)

The distribution is asymmetrical, right skewed and tri-modal.

Md₁: 41 < Md₂: 43 < Me= 53 < X[bar]= 56.6 < Md₃: 63

Outlier: 97

d)

An outlier is an observation that is significantly distant from the rest of the data set. They usually represent experimental errors (such as a measurement) or atypical observations. Some statistical measurements, such as the sample mean, are severely affected by this type of values and their presence tends to cause misleading results on a statistical analysis.  

Considering the 1st quartile (Q₁), the 3rd quartile (Q₃) and the interquartile range IQR, any value X is considered an outlier if:

X < Q₁ - 1.5 IQR

X > Q₃ + 1.5 IQR

PosQ₁= 16/4= 4

Q₁= 43

PosQ₃= 16*3/4= 12

Q₃= 63

IQR= 63 - 43= 20

Q₁ - 1.5 IQR = 43 - 1.5*20= 13 ⇒ There are no values 13 and below, there are no lower outliers.

Q₃ + 1.5 IQR = 63 + 1.5*20= 93 ⇒ There is one value registered above the calculated limit, the last observation 97 is the only outlier of the sample.

The mean is highly affected by outliers, its value is always modified by the magnitude of the outliers and "moves" its position towards the direction of them.

Calculated mean with the outlier: X[bar]= 849/15= 56.6 digs

Calculated mean without the outlier: X[bar]= 752/14= 53.71 digs

I hope this helps.

7 0
3 years ago
Pls show work thank you!!!
Nastasia [14]

|-16-x|=0\\\\\implies -16-x = 0\\\\\implies x = -16

8 0
2 years ago
Use trigonometry to find the missing side. Round your answer to the nearest tenth (one decimal place)
Alchen [17]

Given:

A figure of a right triangle.

To find:

The missing side by using the trigonometric ratios.

Solution:

In a right angle triangle,

\cos \theta=\dfrac{Adjacent}{Hypotenuse}

In triangle ABC,

\cos A=\dfrac{AC}{AB}

\cos (31^\circ)=\dfrac{b}{270}

0.857=\dfrac{b}{270}

Multiply both sides by 270.

0.857\times 270=b

231.39=b

b\approx 231.4

Therefore, the missing side length is b=231.4 inches.

5 0
3 years ago
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