Answer:
A
Step-by-step explanation:
Given the 2 equations
4x + 5y = - 12 → (1)
- 2x + 3y = - 16 → (2)
Eliminate the x- term by multiplying (2) by 2 and adding the result to (1)
- 4x + 6y = - 32 → (3)
Add (1) and (3) term by term
11y = - 44 ( divide both sides by 11 )
y = - 4
Answer:
a. The probability is not equal to 1
b. P (A') = 0.70
c. P ( A U B ) = 0.80
d. P ( A' ∩ B' ) = 0.20
Step-by-step explanation:
a. Because these A and B are disjoint
b. since the probability of A is 0.30 then the probability of A compliment is
P(A compliment ) = 1 - P (A)
P(A compliment ) = 1-0.30
P(A compliment ) = 0.70
c. Since event are disjoint then intersection of A and B is 0, so probability of A U B is;
P ( A U B ) = P (A) + P(B) - P(A∩ B)
P ( A U B ) = 0.30 + 0.50 - 0
P ( A U B ) = 0.80
d. The inetrsection of compilments of A and B are:
by using De Morgan's Law we have,
P ( A' ∩ B' ) = P [(A U B )']
P ( A' ∩ B' ) = 1 - P ( A U B )
P ( A' ∩ B' ) = 1 - 0.80
P ( A' ∩ B' ) = 0.20
Usually this is around 10 feet<span> (</span>3 m)
In a given radioactive nuclide, we can easily find the mass number, mass of proton and neutron by subtracting the mass of proton from the mass number. The mass number, mass of proton and mass of neutron of the radioactive nuclide are 131, 56 and 75 respectively.
<h3>Properties of an atom</h3>
Data;
- Mass Number = 131
- Atomic Number = 56
In a given atom, the mass number of an atom comprises of the mass of proton and mass of neutron. The atomic number of the element or atom is equal to the mass of the proton.
In this case,
mass number = mass of proton + mass of neutron.
From the calculation above, the mass number, mass of proton and mass of neutron of the radioactive nuclide are 131, 56 and 75 respectively.
Learn more on mass of an element here;
brainly.com/question/496676
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Answer:
see below
Step-by-step explanation:
Since this is a right triangle, we can use trig functions
cos ? = adj / hyp
cos ? = 30/48
Taking the inverse cos of each side
cos ^ -1 cos ? = cos ^ -1 ( 30/48)
? = 51.31781255
To the nearest degree
? = 51
Since this is a right triangle, we can use trig functions
cos ? = adj / hyp
cos ? = 40/53
Taking the inverse cos of each side
cos ^ -1 cos ? = cos ^ -1 ( 40/53)
? = 40.99935365
To the nearest degree
? = 41
Since this is a right triangle, we can use trig functions
tan ? = opp/adj
tan ? = 1/2
Taking the inverse tan of each side
tan ^ -1 tan ? = tan ^ -1 ( 1/2)
? = 26.56505118
To the nearest degree
? = 27
Since this is a right triangle, we can use trig functions
sin ? = opp / hyp
sin ? = 29/35
Taking the inverse sin of each side
sin ^ -1 sin ? = sin ^ -1 ( 29/35)
? = 55.95226763
To the nearest degree
? = 56