Answer:
Required probability is 0.9748
Step-by-step explanation:
given data
mean
= 117.7-cm
standard deviation
= 2.2-cm
sample size n = 29
solution
we consider here random variable which represents here length of rod= x
so get here first z that is express as
put here value with x value 118.5-cm

Z = 1.9582
p value is 0.9748
so required probability is 0.9748
Answer:

Step-by-step explanation:
The Pythagorean theorem is a theorem that can be applied to the sides of a right triangle. Please note that a right angle refers to an angle with a measure of (90) degrees. A box around an angle shows that the angle is a right angle, or has a measure of (90) degrees. The Pythagorean theorem states the following,

Where (a) and (b) are the legs of the triangle, or the side adjacent to the right angle in the right triangle. (c) is the side opposite the right angle, or the hypotenuse of the triangle. One can apply this theorem to the smallest triangle in the diagram to find (y),

Substitute,

Simplify,


Inverse operations,



Take a factor from out of the square root. Remember that a number times itself under the radical is equal to the number. This can be simply stated as the following: (
),





X - 2y = - 9
7x + 2y = 1
x - 2y = - 9
(+)
7x + 2y = 1
___________
8x = - 8
x = - 1
- 1 - 2y = - 9
2y = 8
y = 4
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Answer:
(7,4)
Step-by-step explanation:
Let
x be the price for a pound of ham
y the price for a pound of cheese
<span>1.3x +0.8y = 11.28 ....(1)
1.5x +1.2y = 14.76 ....(2)
Lets multiply (1) by -1.2
Lets multiply (2) by 0.8
-1.56x -0.96y = -13.536 .....(3)
</span> 1.2x + 0.96y = 11.808 .....(4)
If we add (3) and (4)
-0.36x = -1.728 ............> x = 4.8
We substitute in (1)
1.3(4.8) +0.8y = 11.28
y = 6.3
Price per pound of ham = x = 4.8
Price per pound of cheese = y = 6.3