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Gnesinka [82]
3 years ago
15

What is the range for this set of data? 7, 15, 12

Mathematics
2 answers:
BigorU [14]3 years ago
7 0

Answer:

8 is the range

Step-by-step explanation:

<u>Step 1:  Find the range </u>

To find the range, subtract the lowest number from the highest number.

<u>Example:</u>  5, 9, 15

What is the highest number → 15

What is the lowest number → 5

What is the range 15 - 5 = 10 is the range

<u>Problem:</u>  7, 15, 12

What is the highest number → 15

What is the lowest number → 7

What is the range 15 - 7 = 8 is the range

Answer:  8 is the range

Anika [276]3 years ago
6 0

Answer:

8.

Step-by-step explanation:

To find the range, take your largest number and subtract it to

your smallest number. 15-7 is 8. Therefore, your range is 8.

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Find the sum of the first 20 terms of an arithmetic progression of which the third term is 55 and the last term is -98
ryzh [129]

The sum of first 20 arithmetic series S_{20}=\frac{-3475}{16}

Given:

Arithmetic series for 3rd term is 55

Arithmetic series for 7th term is -98

To find:

The sum of first 20 Arithmetic series

<u>Step by Step Explanation: </u>

Solution:

Formula for calculating arithmetic series

Arithmetic series=a+(n-1) d

Arithmetic series for 3rd term a_{3}=a_{1}+(3-1) d

a_{1}+2 d=55

Arithmetic series for 19th term is

a_{19}=a_{1}+(19-1) d=-98

a_{19}+18 d=-98

Subtracting equation 2 from 1

\left[a_{19}+18 d=-98\right]+\left[a_{1}+2 d=55\right]

16d=-98-55

16d=-153

d=\frac{-153}{16}

Also we knowa_{1}+2 d=55

a_{1}+2(-153 / 16)=55

a_{1}+(-153 / 8)=55

a_{1}=55+(153 / 8)

a_{1}=440+153 / 8

a_{1}=553 / 8

First 20 terms of an AP  

a_{n=} a_{1}+(n-1) d

a_{20}=553 / 8+19(-153 / 16)

a_{20}=553 / 8+19(-153 / 16)

a_{20}=\{553 * 2 / 8 * 2\}-2907 / 16

a_{20}=[1106 / 16]-[2907 / 16]

a_{20}=-1801 / 16

Sum of 20 Arithmetic series is

S_{n}=n\left(a_{1}+a_{n}\right) / 2

Substitute the known values in the above equation we get

S_{20}=\left[\frac{20\left(\left(\frac{558}{8}\right)+\left(\frac{-1801}{16}\right)\right)}{2}\right]

S_{20}=\left[\frac{\left.20\left(\frac{1106}{16}\right)+\left(\frac{-1801}{16}\right)\right)}{2}\right]

S_{20}=10 \frac{(-695 / 16)}{2}

S_{20}=5\left[\frac{-695}{16}\right]

S_{20}=\frac{-3475}{16}

Result:

Thus the sum of first 20 terms in an arithmetic series is S_{20}=\frac{-3475}{16}

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Natasha_Volkova [10]

Answer:

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Step-by-step explanation:

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3 years ago
So easy read whats on the image
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Here are some numbers written in standard form. From these numbers write down/
ELEN [110]

Answer:

When we have a number like:

1.0x10^n

To rewrite this in standard form, we need to:

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1.0x10^3

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1.0x10^3 = 1000

if n< 0, then we move the decimal point n times to the left.

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1.0x10^-3 = 0.001

if n = 0, we have:

1.0x10^0 = 1.0

Now let's rewrite all the given numbers:

A) 3.4x10^-1  = 0.34

B) 1.36x10^6  = 1360000

C) 7.9x10^0  = 7.9

D) 2.4x10^5  = 240000

E) 5.21x10^-3  = 0.00521

F) 4.3x10^-2 = 0.043

6 0
3 years ago
How do I find the length of an acute triangle if I only know one angle measure and one side length.
baherus [9]
U have to measure what ever your measuring example

say your measuring a square measure  the sides like this --> |_|   <---

these sides

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