Answer:
30 pounds
Step-by-step explanation:
Amount of tin in first alloy + amount of tin in second alloy = amount of tin in mixture
0.15 (20) + 0.10 x = 0.12 (20 + x)
3 + 0.10 x = 2.4 + 0.12 x
0.6 = 0.02 x
x = 30
Answer:
Area = 23.12 cm²
perimeter = 24.28 cm
Step-by-step explanation:
top shaded region is circular arc with 90° sector angle
so perimeter of arc is 90 / 360 * 2πr
here radius of arc is half the length of square side
r = 6.8/2 = 3.4
top area shaded perimeter = 90/360 * 2 * 3.14 * 3.4
= 1/4 * 2 * 3.14 * 3.4
= 5.338
bottom region perimeter is also same
total perimeter of shaded region is = side + side + two arcs
= 6.8 + 6.8 + 2 * 5.338
= 13.6 + 10.676
= 24.276
= 24.28
Area of top shaded region is 90/360 * πr²
A = 1/4 * 3.14 * 3.4²
= 9.0746
bottom shaded region area is half of area of square - area of bottom arc
= 6.8 * 3.4 - 9.0746
= 23.12 - 9.0746
= 14.0454
so total area of shaded region is 9.0746 + 14.0454
= 23.12
or you can just calculate area as half of area of total square = 6.8² / 2
= 23.12
Answer:
a) P-value = 0.0968
b) P-value = 0.2207
c) P-value = 0.0239
d) P-value = 0.0040
e) P-value = 0.5636
Step-by-step explanation:
As the hypothesis are defined with a ">" sign, instead of an "≠", the test is right-tailed.
For this type of test, the P-value is defined as:
being z* the value for each test statistic.
The probability P is calculated from the standard normal distribution.
Then, we can calculate for each case:
(a) 1.30
(b) 0.77
(c) 1.98
(d) 2.65
(e) −0.16
Answer: 480
Step-by-step explanation: I want to say take 60 and 8 and times them together which will give you 480. but then again if you take 60 and divide it by 8 you get 7.5 so if the answer is not 480 then it has to be 7.5.
Hope this helps :)
Answer:
C. i am pretty sure it is C.
Step-by-step explanation:
and I hope this helps
