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2 years ago

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Mathematics

1 answer:

ra1l [238]2 years ago

4 0

For the first pattern, the pattern is add 2, then 3, 4, 5, and so on.
1+2=3, 3+3=6, 6+4=10, 10+5= 15
For the second pattern, you multiply by 3 each time.
1*3=3, 3*3=9, 9*3=27, 27*3= 81
Final answers: 15 for first sequence, 81 for second sequence

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If $1600 earned simple interest of $56.24 in 2 months, what was the simple interest rate? The simple interest rate is % (Do not

Fiesta28 [93]

Answer:

$\$21.1$

Step-by-step explanation:

We know that for principal amount P , time period T and rate of interest $R\%$ , simple interest is given by $S.I. = \frac{P\times R\times T}{100}$ .

Here ,

$P=\$1600\\T=2\,\,months=\frac{2}{12}\,\,years=\frac{1}{6}\,\,years\\S.I=\$56.24$

To find : simple interest rate i.e., $R\%$

On putting values of $P\,,\,T\,,\,S.I$ in formula , we get $S.I. = \frac{P\times R\times T}{100}$

$56.24 = \frac{1600\times R\times 1}{600}\\R=\frac{56.24\times 600 }{1600}=\frac{703\times 3}{100}=\$21.09$

Now we need to round off the answer to the nearest tenth .

So, simple interest rate is % = $\$21.09$ = $\$21.1$

8 0

2 years ago

Each pound of fruit costs $4. Write an expression that shows the total cost of the fruit. Use the variable you identified in que

vovangra [49]

Answer:

$ $4f$

Step-by-step explanation:

Let's assume $f$ represents the number of pounds of fruit.

We need to multiply the number of pounds of fruit by the cost per pound.

This is $ $f * 4$ , or in a simpler form, $ $4f$ .

6 0

2 years ago

PLEASE HELP WILL MARK BRAINLIEST

Romashka [77]

Answer:

A.The mean would increase.

Step-by-step explanation:

Outliers are numerical values in a data set that are very different from the other values. These values are either too large or too small compared to the others.

Presence of outliers effect the measures of central tendency.

The measures of central tendency are mean, median and mode.

The mean of a data set is a a single numerical value that describes the data set. The median is a numerical values that is the mid-value of the data set. The mode of a data set is the value with the highest frequency.

Effect of outliers on mean, median and mode:

Mean: If the outlier is a very large value then the mean of the data increases and if it is a small value then the mean decreases.
Median: The presence of outliers in a data set has a very mild effect on the median of the data.
Mode: The presence of outliers does not have any effect on the mode.

The mean of the test scores without the outlier is:

$\bar{x}=\frac{Total of the observations-Outlier value}{n-1} \\=\frac{(86*16)-72}{15} \\=\frac{1304}{15}\\ =86.9333$

*Here <em>n</em> is the number of observations.

So, with the outlier the mean is 86 and without the outlier the mean is 86.9333.

The mean increased.

Since the median cannot be computed without the actual data, no conclusion can be drawn about the median.

Conclusion:

After removing the outlier value of 72 the mean of the test scores increased from 86 to 86.9333.

Thus, the the truer statement will be that when the outlier is removed the mean of the data set increases.

4 0

2 years ago

In the XY-plane, the X-axis contains all ordered pairs such that:

Fiesta28 [93]

Answer:

Option B

y coordinate is 0

Step-by-step explanation:

We have in two dimension rectangular system of coordinates with two mutually perpendicular lines called x and y axis.

X axis is the horizontal line and y the vertical line, the point of intersection of these two lines is called origin with x=0: y=0

To the right of origin, positive values are marked and left negative. Similarly for y axis, above origin positive values and below negative values.

Thus we have along x axis, y values to be 0

Hence any point on x coordinate will be of the form (a,0) where a can be any real number

So option B is right

3 0

2 years ago

Read 2 more answers

What is the area for this?

mote1985 [20]

12.5 (area of triangle) +40 (area of rectangle)=52.5

7 0

1 year ago