Answer:
prime factorization of 28
28 = 2 × 2 × 7
prime factorization of 50
50 = 2 × 5 × 5
Step-by-step explanation:
GCF, multiply all the prime factors common to both numbers:
Therefore, GCF = 2
Answer:
3 oatmeal muffins
Step-by-step explanation:
First, subtract the 5 muffins she dropped from the total:
73 - 5
= 68
Then, divide this by 13:
68/13
= 5.23
We need a whole number of muffins in each container, so round this down to 5.
This means that there can be 5 muffins in each of the 13 containers.
Find how many will be leftover:
5(13)
= 65
68 - 65
= 3
So, there will be 3 oatmeal muffins left
Answer:
a) 48.21 %
b) 45.99 %
c) 20.88 %
d) 42.07 %
e) 50 %
Note: these values represent differences between z values and the mean
Step-by-step explanation:
The test to carry out is:
Null hypothesis H₀ is μ₀ = 30
The alternative hypothesis m ≠ 30
In which we already have the value of z for each case therefore we look directly the probability in z table and carefully take into account that we had been asked for differences from the mean (0.5)
a) z = 2.1 correspond to 0.9821 but mean value is ubicated at 0.5 then we subtract 0.9821 - 0.5 and get 0.4821 or 48.21 %
b) z = -1.75 P(m) = 0.0401 That implies the probability of m being from that point p to the end of the tail, the difference between this point and the mean so 0.5 - 0.0401 = 0.4599 or 45.99 %
c) z = -.55 P(m) = 0.2912 and this value for same reason as before is 0.5 - 0.2912 = 0.2088 or 20.88 %
d) z = 1.41 P(m) = 0.9207 0.9207 -0.5 0.4207 or 42.07 %
e) z = -5.3 P(m) = 0 meaning there is not such value in z table is too small to compute and difference to mean value will be 0.5
d) z= 1.41 P(m) =
Answer: Let F(x, y, z) = x 2y 3 i+x 3y 2 j+ 2zk and C the curve parameterized by x(t) = cost, y(t) = sin t, and z(t) = t 2π
Step-by-step explanation: