Answer:
Step-by-step explanation:
The question above is answered below.
Take the LCM of the denominators and simplify. The LCM is 12.
To get 6 + 2 above, we divide 12 by 4 which equals 3 then multiply 3 by 2, total 6. Similarly to get 2, we say 13 divided by 2, equals 2; 2 times 1 equals 2.
The fraction above has to be simplified to reduced form. Thus the answer below.
Therefore, the total amount of walnuts and pecans needed for the recipe is 2/3.
Answer:
Probability that at most 50 seals were observed during a randomly chosen survey is 0.0516.
Step-by-step explanation:
We are given that Scientists conducted aerial surveys of a seal sanctuary and recorded the number x of seals they observed during each survey.
The numbers of seals observed were normally distributed with a mean of 73 seals and a standard deviation of 14.1 seals.
Let X = <u><em>numbers of seals observed</em></u>
The z score probability distribution for normal distribution is given by;
Z = ~ N(0,1)
where, = population mean numbers of seals = 73
= standard deviation = 14.1
Now, the probability that at most 50 seals were observed during a randomly chosen survey is given by = P(X 50 seals)
P(X 50) = P(
) = P(Z
-1.63) = 1 - P(Z < 1.63)
= 1 - 0.94845 = <u>0.0516</u>
The above probability is calculated by looking at the value of x = 1.63 in the z table which has an area of 0.94845.
Answer:
Step-by-step explanation:
For those 2 lines to parallel to each other, then the 2 angles have to be alternate interior and have to be congruent. The value of x that makes them congruent is found by setting the 2 expressions equal to each other and solving for x:
and
so
x = 4.5
Answer:
The answer is A. y = arcsinx and y = arccosx
Step-by-step explanation:
Answer:
r ≈ 22.44 ft
Step-by-step explanation:
The circumference (C) of a circle is calculated as
C = 2πr ( r is the radius ), then
141 = 2πr ( divide both sides by 2π )
= r , that is
r ≈ 22.44 ft ( to the nearest hundredth )