All categories

2 years ago

Find the 37th term of the arithmetic sequence: -38,-8,22,52

Mathematics

1 answer:

Leya [2.2K]2 years ago

3 0

Answer:

1042

Step-by-step explanation:

-38,-8,22,52

The common difference is 52 - 22 = 30

a_1 = -38

a_2 = -38 + 30

a_3 = -38 + 2 * 30

a_4 = -38 + 3 * 30 (notice that the common difference is multiplied by 1 less than the term number)

a_n = -38 + (n - 1)30 (since the term number is n, we multiply the common difference by n - 1)

a_n = -38 + 30(n - 1)

a_37 = -38 + 30(37 - 1)

a_37 = 1042

You might be interested in

0.5 is 30 minutes how do I work out more times e.g. How many minutes is 0.45 or 0.48 I don't know how to do it help

kompoz [17]

I dont know if this will help you, but a 15th (.15) of an hour is 9 minutes!
So it'd be
.15=9 minutes
.30=18 minutes
.45=27
.60=36
.75=45
.90=54
and obviously
1.0 is 60 minutes
(((EVERY .05 IS THREE MINUTES))))

3 0

3 years ago

What do you add to<br> 2 1/5 to make 5

Tcecarenko [31]

Answer:

Another 2 1/5

Step-by-step explanation:

2.5 + 2.5 = 5.0 (You don't have to put the .0)

Another example would be:

5.5 + 5.5 = 11.0 (Again, you do not have to put the .0)

- Hope this helps (:

3 0

3 years ago

Need help with This question no links or I will report you Thank you

meriva

Answer:

5.6 cm

Step-by-step explanation:

As you can see in the picture, there is a right triangle formed. The right angle is opposite the 6.5 cm side, so that is the hypotenuse, and the other sides are the two legs. The side we do not know in the right triangle is the height of the pyramid.

We know that a²+b²=c² for a hypotenuse c and two legs a and b in a right triangle.

height²+3.3²=6.5²

subtract 3.3² from both sides to isolate height²

31.36 = height²

square root both sides to isolate height

height = 5.6 cm

6 0

2 years ago

There are 10 employees in a particular division of a company. Their salaries have a mean of $70,000, a median of $55,000, and a

alekssr [168]

Answer:

A) $bar{x}_{new}=160,000$

B) Median remains the same.

C) $sigma_{new}=300998.34$

Step-by-step explanation:

Consider the complete question attached below.

No. of employees = n = 10

Given mean = $70,000

Median = $55,000

Standard deviation = $60,000

Largest number on the list = $100,000

Accidentally changed to = $1,000,000

Modified mean, media, SD =?

A) Modified Mean:

$\bar{x}=\frac{\sum x}{n} = 70,000\\\\\sum x=(\bar{x})(n) = (70,000)(10)\\\\\sum x=700,000\\\\\sum x_{new} =700,000 -100,000+1,000,000\\\\\sum x_{new}=1,600,000\\\\\bar{x}_{new}=\frac{1,600,000}{10}\\\\\bar{x}_{new}=160,000$

B) Modified Median:

Median remains same and is not affected by changing highest value.

C) Modified SD:

Standard deviation is given by formula:

$\sigma=\sqrt{\frac{\sum x^{2}-n\bar{x}}{N-1}}---(1)\\\\\sigma_{new}=\sqrt{\frac{\sum x_{new}^{2}-n\bar{x}_{new}}{N-1}}---(2)\\\\From\,\, (1)\\\\\sum x^{2}=(N-1)\sigma^{2}+n\bar{x}$

$\sum x^{2}=(10-1)(60,000)^{2}+(10)(70,000)^{2}\\\\\sum x^{2}=8.14\times 10^{10}\\\\\sum x_{new}^{2}= 8.14\times 10^{10}-(10,0000)^{2}+(1,000,000)^{2}\\\\\sum x_{new}^{2}=1.0714\times 10^{12}\\\\Using\,\, (2)\\\sigma_{new}=\sqrt{\frac{1}{9}(1.0714\times 10^{12}-(10)(1.6\times 10^{5})}\\\\\sigma_{new}=\sqrt{9.06\times 10^{11}}\\\\\sigma_{new}=300998.34$

7 0

3 years ago

The store owner converts the frequency table to a conditional relative frequency table by row.

PIT_PIT [208]

0.90 is the correct answer or B

5 0

3 years ago