Answer:
see explanation
Step-by-step explanation:
(1)
The sum of the 3 angles in a triangle = 180° , thus
a + b + c = 180
(2)
adjacent angles are supplementary, thus
b + d = 180
(3)
From (1) and (2)
b + d = a + b + c ( subtract b from both sides )
d = a + c
Answer:
- 0: 0.7056
- 1: 0.2688
- 2: 0.0256
Step-by-step explanation:
When events are independent, the probability of some sequence of them is the product of the probabilities of the individual events in that sequence.
The probability of a child having spina bifida is 16% = 0.16, so the probability that the child will not have the condition is 1 - 0.16 = 0.84. The probability that 0 of 2 children will have spina bifida is ...
p(0 for 2) = p(0 for 1)×p(0 for 1) = 0.84×0.84 = 0.7056
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There are two ways that 1 of 2 children can have spina bifida: either the first one does, or the second one does. These are mutually exclusive conditions, so their probabilities add:
p(1 for 2) = p(1 for 1)×p(0 for 1) +p(0 for 1)×p(1 for 1) = 0.16×0.84 +0.84×0.16
p(1 for 2) = 0.2688
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There is one way both children can have spina bifida:
p(2 for 2) = p(1 for 1)×p(1 for 1) = 0.16×0.16 = 0.0256
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In summary, our probability distribution is ...
p(X=0) = 0.7056
p(X=1) = 0.2688
p(X=2) = 0.0256
Statements:
1. m<DHF = m<EHG
2. m<1 = m<1
3. m<2 + m<1 = m<DHE
m<3+ m<1 = m<EHG
4. m<2 + m<1 = m<3 + m<1
5. m<2 = m<3
Reasons:
1. Given
2. reflective property
3. Angle addition postulate
4. substitution
5. subtraction property of equality
Answer: Karen's weight = 125 pounds
Step-by-step explanation:
Let Karen's weight be x , this means that John's weight is 3x.
Two times John’s weight = 2(3x)
Two times John’s weight plus Karen’s weight is 875 pounds implies;
2(3x) + x = 875
6x + x = 875
7x = 875
divide through by 7
x = 125
Therefore Karen's weight = 125 pounds
John's weight = 3 x 125 = 375 pounds
For this case we must find the value of "x" of the following equation:
So:
We add 9 to both sides of the equation:
We apply square root on both sides of the equation to eliminate the exponent on the left side:
Thus, the solutions are:
ANswer:
Opcion C