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DerKrebs [107]
3 years ago
8

half of an integer exceeds one _ third of the next integer by unity .Find the integer. please ask fast​

Mathematics
1 answer:
gulaghasi [49]3 years ago
6 0

9514 1404 393

Answer:

  8

Step-by-step explanation:

If the integer is n, half of it is n/2. The next integer is (n+1) and 1/3 of it is (n+1)/3. You want ...

  n/2 - (n+1)/3 = 1

  n(1/2 -1/3) -1/3 = 1

  n/6 = 4/3 . . . . . . . . add 1/3, simplify

  n = 6(4/3) = 8

The integer is 8.

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Please help<br><br><br> AOB = ?<br><br> BOC = ?<br><br> BOD = ?
goldfiish [28.3K]
From the diagram, we know that it is an angle that adds up to 360

So

x+4x+2x+10+5x+50=360


Gather like terms

12x+60=360

Move sixty to the other side as a negative number

12x=300

Divide both sirs by twelve

x is equal to 25

AOB is 2x+10

Sub x in 2*25+10

AOB is 60

BOC is 5x+50

5*25+50, which is 175

BOD is x+2x+10

Which is 3x+10

Sub x

3*25+10 which is 85

:)
7 0
3 years ago
Read 2 more answers
N = 9
g100num [7]

Answer:

The <em>p</em>-value is 0.809.

Step-by-step explanation:

In this case we need to perform a significance test for the standard deviation.

The hypothesis is defined as follows:

<em>H</em>₀: <em>σ</em>₀ = 4 vs. <em>Hₐ</em>: <em>σ</em>₀ ≤ 4

The information provided is:

<em>n</em> = 9

<em>s</em> = 3

Compute the Chi-square test statistic as follows:

\chi^{2}=\frac{(n-1)s^{2}}{\sigma_{0}^{2}}

     =\frac{(9-1)\cdot (3)^{2}}{(4)^{2}}\\\\=\frac{8\times 9}{16}\\\\=4.5

The test statistic value is 4.5.

The degrees of freedom is:

df = n - 1

   = 9 - 1

   = 8

Compute the <em>p</em>-value as follows:

p-value=P(\chi^{2}_{9}>4.5)=0.809

*Use a Chi-square table.

Thus, the <em>p</em>-value is 0.809.

7 0
3 years ago
What is the Greatest Common Factor of x4 and x3? (1 point)
denis-greek [22]
The greatest common factor of both x^4 and x^3 would be x^3, since the largest number of X variables that you can evenly take out between both terms is x^3 or x cubed.
4 0
3 years ago
Read 2 more answers
What is the value of z if z/4 = 12
Digiron [165]

Answer:

z = 48 :)

Step-by-step explanation:

z ÷ 4 = 12

So, all you need to do is multiply 12 by four, to get z- 48

hope this helped!

5 0
3 years ago
Read 2 more answers
In the diagram below, trapezoid ABCD maps to trapezoid A’B’C’D’
snow_tiger [21]

Answer:

C'

Step-by-step explanation:

Given

ABCD to A'B'C'D'

Required

Corresponding angle of C

ABCD to A'B'C'D' means that the following angles are corresponding

A \to A'

B \to B'

C \to C'

D \to D'

Hence, C' corresponds to C

6 0
2 years ago
Read 2 more answers
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