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katrin [286]
3 years ago
6

Your friend says that 14.5% is equivalent to the decimal 14.5. explain why your friend is incorrect by comparing the fractional

equivalents of 14.5% and 14.5.
?????
Mathematics
1 answer:
adoni [48]3 years ago
7 0
14.5% = 0.145 = 145/1000

14.5 = 14500/1000

So 14.5% is a hundredth the size of 14.5, so they are not equal and the friend is incorrect.
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Data was collected for 300 fish from the North Atlantic. The length of the fish (in mm) is summarized in the GFDT below.
agasfer [191]

Answer:

Class Boundary = 1 between the sixth and seventh classes.

Step-by-step explanation:

              Lengths (mm)                   Frequency

1.                  140 - 143                                  1

2.                 144 - 147                                 16

3.                 148 - 151                                 71

4.                 152 - 155                              108

5.                 156 - 159                               83

6.                 160 - 163                                18

7.                  164 - 167                                 3

The class boundary between two classes is the numerical value between the starting value of the higher class, which is 164 for the 7th class in this case, and the ending value of the class of the lower class, which is 163 for the 6th class in this case.

Therefore the class boundary between the sixth and seventh classes

= 164 - 163  = 1

Therefore Class Boundary = 1.

It can be seen that class boundary for the frequency distribution is 1.

If we take the difference between the lower limits of one class and the lower limit of the next class then we will get the class width value.

Therefore, Class width,

w = lower limit of second class - lower limit of first class

   = 144 - 140

   = 4

7 0
3 years ago
if £2000 is placed into a bank account the pays 3percent compound interest per year, how much will be in the account after 2 yea
Nastasia [14]

Answer:

£2,120.00

Step-by-step explanation:

First, converting R percent to r a decimal

r = R/100 = 3%/100 = 0.03 per year.

Solving our equation:

A = 2000(1 + (0.03 × 2)) = 2120

A = $2,120.00

The total amount accrued, principal plus interest, from simple interest on a principal of £2,000.00 at a rate of 3% per year for 2 years is £2,120.00.

8 0
3 years ago
Six plus four fifths A equals nine tenths A
Drupady [299]
6+4/5a=9/10a
make bottom numbers same
into 10
60/10+8/10a=9/10a
minus 8/10a from both sides
60/10=1/10a
multiply both sides by 10
60=a
8 0
3 years ago
Sydney read 50 pages in 40 minutes. She reads at a constant rate.How many pages can Sydney read per minute?
7nadin3 [17]

Here we are given how much work is done in a fix time interval

then they ask to find the rate of doing the work .

in such problem we can find the rate of doing a work by using the formula :

amount of work done

--------------------------------------------------- = work done in unit time

Time taken to do that amount of work

In 40 minutes number of pages she reads = 50

In 1 minutes number of pages she would be reading = 50 /40

= 5/4 page

Answer 5/4 page .

3 0
3 years ago
Please help! Correct answer only, please!
sukhopar [10]

Answer: A. \left[\begin{array}{ccc}29&13\\13&10\\\end{array}\right]

Step-by-step explanation:

The question is asking us to find the product of the matrices. The key difference is the second A has a little <em>T</em> in the exponent. This <em>T</em> means transpose. You multiply A by the transpose of A. To find the transpose, you turn the rows into columns.

A^T=\left[\begin{array}{ccc}5&3\\2&-1\\\end{array}\right]

Now that we have our transpose, we can multiply the matrices.

\left[\begin{array}{ccc}5&2\\3&-1\\\end{array}\right] \left[\begin{array}{ccc}5&3\\2&-1\\\end{array}\right] =\left[\begin{array}{ccc}5*5+2*2&5*3+2(-1)\\3*5+2(-1)&3*3+(-1)(-1)\\\end{array}\right] =\left[\begin{array}{ccc}29&13\\13&10\\\end{array}\right]

4 0
3 years ago
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