Answer:
Radius = 2 cm.
Step by step explanation:
By the Pythagoras theorem the third side of the triangle
= sqrt (6^2 + 8^2)cm = sqrt100 = 10cm.
The formula for the radius of the circle is
r = sqrt [ (s - a)(s-b)(s-c)/ s ] where a,b,c are side lengths and s = the semi perimeter.
Here s = ( 6+8+10) / 2 = 12
So the radius r
= sqrt [ (12-6)(12-8)(12-10)/ 12 ]
= sqrt 4
= 2 (answer).
<span>75 lbs of Earl Grey
225 lbs of Orange Pekoe
Some definitions.
E = number of pounds of Earl Grey
(300-E) = number of pounds of Orange Pekoe
Expression for selling price of new blend
P=300*4.5
"there is to be no difference in revenue from selling the new blend versus selling the other types." so
P = 6E + 4(300-E)
Set them equal to each other, then solve for E
300*4.5 = 6E + 4(300-E)
1350 = 6E + 1200 - 4E
150 = 6E - 4E
150 = 2E
75 = E
So 75 lbs of Earl Grey was used and 300-75 = 225 lbs of Orange Pekoe</span>
P(-2.57 ≤ Z ≤ 1.27) = P(Z ≤ 1.27) - P(Z ≤ -2.57)
P(Z ≤ 1.27) = 0.8980
P(Z ≤ -2.57) = 1 - P(Z ≤ 2.57) = 1 - 0.99488 = 0.00512
P(-2.57 ≤ Z ≤ 1.27) = 0.8980 - 0.00512 = 0.89288
0.8929 (4 d.p.)
Answer:
1. b. 14.6 ± 7.38
2. b. 3.43
3. b. 0.01 < P-value < 0.05
4. b. There is sufficient evidence to reject the null hypothesis.
Step-by-step explanation:
The hypothesis test is used to test the null hypothesis against the alternative hypothesis. The p value of the test determines whether to accept or reject the null hypothesis. In the given scenario the p value is less than 0.05 so there is sufficient evidence against the null hypothesis in favor of alternative hypothesis.
