Answer:
1: 5.83
2: 4.12
3: 3.61
4: 5
5: 6.32
6: 5.10
Step-by-step explanation:
The Pythagorean theorem is a^2 + b^2 = c^2
For all of these you can count the number of blocks over to find two sides of the triangle.
For example: the first one has two sides, one is 3 units, the other is 5. To find the missing angle you square 3 and 5, then add that together. That is equal to 34. 34 = c^2. To get the c by itself, you then take the square root of 34. So the missing side (c) is equal to 5.83.
Answer:
1,082
Step-by-step explanation:
The sample size n in Simple Random Sampling is given by

where
z = 1.645 is the critical value for a 90% confidence level (*)
s = 2 is the estimated population standard deviation
e = 0.1 mm points is the margin of error
so

rounded up to the nearest integer.
So the manufacturer should test 1,083 parts.
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(*)This is a point z such that the area under the Normal curve N(0,1) outside the interval [-z, z] equals 10% = 0.1
It can be obtained in Excel with
NORMINV(1-0.05,0,1)
and in OpenOffice Calc with
NORMINV(1-0.05;0;1)
Answer:
The point (2,12) is not a solution of the system
see the explanation
Step-by-step explanation:
we have
----> equation A
----> equation B
Solve the system by elimination
Adds equation A and equation B

Find the value of y
substitute the value of x in the equation A

The solution of the system is the point (-2,-8)
The system has only one solution, because the intersection point both lines is only one point
therefore
The point (2,12) is not a solution of the system
Answer:
x=3 and y=1
Step-by-step explanation:
First find the deteminant
That is ad-bc
ᵃ ᵇ
ᶜ ᵈ
Answer:
First one is d and second one is c
Step-by-step explanation:
(6x+7)(x-8)
(6x)(x) = 6x^2
(6x)(-8) = -48
(7)(x) = 7x
(7)(-8) = -56
Add all like terms together and you get choice d.
(w+3)(w-3)
(w)(w) = w^2
(w)(-3) = -3w
(3)(w) = 3w
(3)(-3) = -9
Add all like terms together and you get choice c