<em>Answer:</em>
<em>7/78 - 35/78i</em>
<em>Step-by-step explanation:</em>
<em>A complex number is a real number, an imaginary number or a number with both real and imaginary number. Its standard form is:
</em>
<em>a + bi
</em>
<em>
</em>
<em>For the expression, 7/ 3-15i
</em>
<em>
</em>
<em>(7/ 3-15i) (3+15i)
</em>
<em>21 - 105i / (234)
</em>
<em>7/78 - 35/78i
</em>
The perimeter "P" is equal to the length of the base of one triangle multiplied by the "n" number of triangles in the figure plus two times the length of another side. The equation for the perimeter is P = 5n + 14.
We are given triangles. The triangles are arranged in a certain pattern. The length of the base of each triangle is equal to 5 units. The length of the other two sides is 7 units each. We conclude that all the triangles are isosceles. We need to find the relationship between the number of triangles and the perimeter of the figure. Let the perimeter of the figure having "n" number of triangles be represented by the variable "P".
P(1) = 14 + 5(1)
P(2) = 14 + 5(2)
P(3) = 14 + 5(3)
We can see and continue the pattern. The relationship between the perimeter and the number of triangles is given below.
P(n) = 14 + 5n
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Answer:
See explanation
Step-by-step explanation:
Solution:-
- The researcher claims :
" the average annual salary of part-time community college instructors is at least $45,000 "
- We will extract the claim made by the researcher to be the Null hypothesis:
Null Hypothesis : μ ≥ $45,000
- Any statement otherwise, or point of rejection criteria will denote the Alternate hypothesis that disbands the claim that:
" the average annual salary of part-time community college instructors is less than $45,000 " :
Alternate Hypothesis : μ < $45,000
- This type of test with a sample size of n = 25 < 30 and population standard deviation is also not given hints the use t-test statistics and t-critical value reject the claim.
Lower tail - one sample - T-test.
Answer:
11 pages with picture to every nine pages without pictures. or 11 per every 9
Step-by-step explanation:
divide each number by a common denominator, in this case 5, to get a change from 55 per every 45 to 11 per every 9.
Answer:
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