Answer:
0.3891 = 38.91% probability that only one is a second
Step-by-step explanation:
For each globet, there are only two possible outcoes. Either they have cosmetic flaws, or they do not. The probability of a goblet having a cosmetic flaw is independent of other globets. So we use the binomial probability distribution to solve this question.
Binomial probability distribution
The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.
In which 
is the number of different combinations of x objects from a set of n elements, given by the following formula.
And p is the probability of X happening.
17% of its goblets have cosmetic flaws and must be classified as "seconds."
This means that 
Among seven randomly selected goblets, how likely is it that only one is a second
This is P(X = 1) when n = 7. So
0.3891 = 38.91% probability that only one is a second
Answer:
C (1,2)
Step-by-step explanation:
Answer:
f(x) = -(x-3)^2 + 4
Step-by-step explanation:
(h; k) are the coordinates of the vertex.
On the graph are (3, 4), therefore we have:
f(x) = a(x-3)^2 + 4
We have the x- intercept (1,0) -> x=1; y=0.
Substitute them into the equation:
0 = a(1 - 3)^2 + 4
0 = a(-2)^2 + 4
4a + 4 = 0 | -4
4a = -4 |-4
a = -1
So, we have the answer:
f(x) = -(x-3)^2 + 4
Answer:
icecream = $2.99
donut = $1.19
creamcake = $4.99
Step-by-step explanation:
The picture shows $7.17 for 2 x ice-cream and 1 donut
We are given 3 cream cakes that total 14.97 we divide by 3 = 4.99
9.17- 4.99=4.18
=5.37-4.18 =1.19
we can then fill out the boxes.
1.19 +1.19 = 2.38 = 5.37-2.38= £2.99
2.99 +2.99 +1.19 = $7.17
We can see total first two rows = $12.56
2.99+2.99+2.99 +1.19 +1.19+1.19 = $12.56
Answer:
7 seconds
Step-by-step explanation:
Distance of the coin above the water is modeled by the equation
where 
is time taken to cover the distance
Now equating with zero.
So, time taken by the coin to hit the water is 7 seconds.
