Answer:

Step-by-step explanation:
we know that
The <u>distance formula</u> is derived by creating a triangle and using the Pythagorean theorem to find the length of the hypotenuse. The hypotenuse of the triangle is the distance between the two points
The formula to calculate the distance between two points is equal to

we have
A(1, 1) and B(7, −7)
Let
(x1,y1)=A(1, 1)
(x2,y2)=B(7, −7)
substitute the given values in the formula





We need to FOIL that out and then get it into standard form to see what our A, B, and C are. FOILing gives us

. If we move the 7 over by subtraction and set it equal to 0, we have

. In order to avoid a negative leading coefficient, we can change all the signs to get

so A = 1, B = 0, C = -18, first choice above.
We get tne n-th term with: tn=1/3tn-1
We know that the first term is t1=81, so 81=1/3t*1-1
81=1/3t-1
82=1/3t
82*3t=1
3t=1/82
t=1/82*3=1/246
The second term is: 1/
2*(1/246)*2)-1
We get the third term by replacing n with 3 and so on...
<span>You are given
35/8. You are asked to reduce it into the simplest form. You have to find the
greatest common factor of 35 and 8. First, divide 35 by 5 we get 7. Divide 8 by
5 gives a fraction. If we try to divide it by a larger number such as 35
divided by 35 equals one. And 8 by 35 gives a fraction. If we would not try to
divide each of them, 35 and 8, to any number, the number stays the same. Therefore
the simplest form of 35/8 is 35/8.</span>
Answer:
Todd's Z-score is - 0.27
Step-by-step explanation:
<u><em>Explanation</em></u>:-
<u><em>Step(i)</em></u>:-
Given data A test is normally distributed with a mean of 70 and a standard deviation of 10.
<em>Mean of the population 'μ' = 70 </em>
<em>Standard deviation of the Population ' σ ' = 10</em>
<em>let 'x' be the random variable in normally distributed</em>
<u><em>Step(ii)</em></u>:-
<em>Given raw score 'x' = 55</em>
Todd's Z-score


Z = -0.27
<u><em>Final answer</em></u>:-
<em>Todd's Z-score is - 0.27 </em>