Answer:
Step-by-step explanation:
hello :
note : the vertex form is :
ax²+bx+c = a(x+(b)/(2a))²- delta/4a² and delta = b²- 4ac
in this exercice you have : a =1 b = -1 and c= 3
continu ..........
It would be 10 inches. The length of WZ would usually be stated as the diameter in these cases. As you can see in the picture, 5 inches is our radius and the diameter equals the radius times two (2r or the radius doubled) to give the diameter. 5 x 2 = 10, and 10 would be the answer.
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Answer:
160
Step-by-step explanation:
Plug in 6 for r, and 8 for s in the expression:
(r)(s) + (14)(s) = (6)(8) + (14)(8)
Remember to follow PEMDAS. First, multiply, then add:
(6 * 8) + (14 * 8)
48 + 112
112 + 48 = 160
160 is your answer.
~
20/5 and -20/-5 are equivalent
<h2>
Answer with explanation:</h2>
As per given , we have

Since , alternative hypothesis is right tailed, so the test is a right tailed test.
n= 1987
Proportion of adults believe that rudeness is a worsening problem : 
Test statistic : 

(since , the normal curve takes values of z from -7 to 7, so we use critical value to draw conclusion.)
The critical value for a significance level of 0.005= 1.645
Since , absolute test statistic value (12.09) is greater than the critical value (1.645), it means there is statistical significance and so we reject the null hypothesis.