Answer:
the answer is, {x,y} ={2,1}
Step-by-step explanation:
1) 4x - 3y = 5 2) x + 2y = 4 3) 4•(-2y+4) - 3y = 5 4) - 11y = -11 5) 11y = 11 y = 1 6) x = -2y+4 y = 1 7) x = -2(1)+4 = 2 = {x,y} = {2,1} !!!
You first wanna find <BAD, because if AB is perpendicular to AC, then it has to form a 90 degree angle. So 90-56=34 degrees. So now you have a 34 & 63 degrees in the ABD triangle. In a triangle, all angles add up to equal 180 degrees. So 34+63+x=180...and x=83. So <ADB= 83 degrees. Now you want to find angle ADC...which you can just subtract 83 from 180 (because <ADB & <ADC forms 180 degree angle). You will then get 97 as angle ADC. So, the same thing as before, add up 56+97+x=180, because all angles (in the triangle ADC) add up to be 180 degrees. X will then equal 27 degrees. Angle ACB= 27 degrees.
The answer is 7 remainder 2.
Answer:
a) Sample correlation coefficient, r = 0.7411
bi) test statistic, t = 4.102
bii) P-value = 0.000736
Step-by-step explanation:
a) The formula for the sample correlation coefficient is given by the formula:



r = 0.7511
b)
i) formula for the test statistic is given by the formula:

sample size, n = 4

t = 4.102
ii) Degree of freedom, df = n -2
df = 14 -2
df = 12
The P-value is calculate from the degree of freedom and the test statistic using excel
P-value =(=TDIST(t,df,tail))
P-value = (=TDIST(4.1,12,1)
P-value = 0.000736
The correct value of this equation is <u>m = </u><u>24</u>
<h3>Resolution method</h3>
This equation contains a fractional term. We note that the denominator of this equation is the <u>term 4</u>. Therefore, we will multiply the sides by <u>4</u>:
13 = m/4 + 7
13 . 4 = 4(m/4) + 7 . 4
52 = m + 28
Now, let's isolate the variable "as negative" and after the equality - we'll be subtracting the terms:
52 = m + 28
-m = 28 - 58
-m = -24
<u>m = 24</u>
Therefore, the correct value of this equation will be <u>m = 24</u>