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KengaRu [80]
3 years ago
11

Give a rule for finding the first of four consecutive odd integers if you know the sum of the four integers.

Mathematics
2 answers:
Len [333]3 years ago
8 0

Answer:

I'm answering again so that Potato can get Brainliest!

Artemon [7]3 years ago
6 0

This ones a bit of a trick question, since whether the integers are even or odd doesn't really matter. What does matter, is that consecutive odd integers are 2 numbers apart (as are consecutive even integers).

So again, if the first of the odd integers is the variable n

the consecutive odd integers after it can be written as:

n+2 , n+4, etc...

So the sum of four consecutive odd integers can be written as:

sum = n + (n+2) + (n+4) + (n+6)

Simplify:

sum = 4n + 12

And finally rearrange to solve for n:

\frac{sum-12}{4} = n

This can also be written as:

\frac{sum}{4} - 3 = n

Whichever way you prefer.

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Solve the system of equations.
nikdorinn [45]

Answer:

Step-by-step explanation:

x - y = 34

x + y = 212

-------------------add

2x = 246

x = 246/2

x = 123 <=== 123 domestic

x + y = 212

123 + y = 212

y = 212 - 123

y = 89 <===== 89 foreign

8 0
3 years ago
Read 2 more answers
a rectangular prism has a volume of 1374.28 cubic inches.The prism is 9.4 inches wide and 17.2 inches long.What is the height of
NISA [10]
The volume V of a prism can be found by:
The volume of a rectangular prism can be found through:
V=lwh
Where l is the length, w is the width, and h is the height.

The height can be found by rearranging the equation to:
h= \frac{V}{wl}

Take the volume (1374.28) and divide it by the length times the width (9.4*17.2=161.68).
1374.28/161.68= 8.5 inches is the height of the prism.
6 0
3 years ago
A simple random sample of 50 items from a population with 7 resulted in a sample mean of 35.
Vilka [71]

The 90% , 99% confidence interval for the population mean is 32.145 < \rm \mu < 35.855 and 31.093 <  \rm \mu < 36.907

<h3>What is Probability ?</h3>

Probability is the study of likeliness of an event to happen.

It is given that

Total Population = 50

Mean = 35

The confidence interval is given by

\rm CI = \mu + z \dfrac{s}{\sqrt n}

\rm \mu is the mean

z is the confidence level value

s is the standard deviation

n is the population width

(a) The 90% confidence interval for the population mean

90% \rm \alpha / 2  = 0.05

Z = 1.64

34 \rm \pm 1.64 * 8 / √50

34 \rm \pm  1.855

32.145 < \rm \mu < 35.855

(b)  The 99% confidence interval for the population mean

99% \rm \alpha / 2  = 0.005

Z=2.57

34  \rm \pm 2.57 * 8 / √50

34 \rm \pm  2.907

31.093 <  \rm \mu < 36.907

Therefore the confidence interval for population mean has been determined.

The complete question is

A simple random sample of 50 items from a population width =7  resulted in a sample mean of 35. If required, round your answers to two decimal places.

a. Provide a 90% confidence interval for the population mean

b. Provide a 99% confidence interval for the population mean

To know more about Probability

brainly.com/question/11234923

#SPJ1

8 0
2 years ago
Please help as soon as possible
hammer [34]

Answer:

a that the right answer because 25+10+20=55 that rights

6 0
3 years ago
Answer for x -4x-1=3
nordsb [41]

Answer:

4 x 1 = 4 x 3 = 12 = 4 x 3

Step-by-step explanation:

sorry I'm having trouble with this too

7 0
3 years ago
Read 2 more answers
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