Answer:
The probability that a performance evaluation will include at least one plant outside the United States is 0.836.
Step-by-step explanation:
Total plants = 11
Domestic plants = 7
Outside the US plants = 4
Suppose X is the number of plants outside the US which are selected for the performance evaluation. We need to compute the probability that at least 1 out of the 4 plants selected are outside the United States i.e. P(X≥1). To compute this, we will use the binomial distribution formula:
P(X=x) = ⁿCₓ pˣ qⁿ⁻ˣ
where n = total no. of trials
x = no. of successful trials
p = probability of success
q = probability of failure
Here we have n=4, p=4/11 and q=7/11
P(X≥1) = 1 - P(X<1)
= 1 - P(X=0)
= 1 - ⁴C₀ * (4/11)⁰ * (7/11)⁴⁻⁰
= 1 - 0.16399
P(X≥1) = 0.836
The probability that a performance evaluation will include at least one plant outside the United States is 0.836.
Jocelyn borrowed 3.75kg which is equivalent to 3750grams
Assuming a batch is one cookie recipe then:
3 batches * 225 grams = 675grams
Jocelyn will use 675 grams of flour to bake 3 batches of cookies.
A cake recipe requires 1.2kg (equivalent to 1200grams).
She wants to bake 2 cakes
2 cakes *1200grams = 2400 grams
Jocelyn will use <span>2400 grams of flour to bake 2 cakes.
</span>
Add the total amount of flour she is going to use
2400 (for the cake) + <span>675grams (cookies) = 3075
She will use 3075 grams of flour in total.
Now take original borrowed amount from the amount she will use
3750-3075= 675
Therefore, Jocelyn will return 675 grams of flour back to her grandmother
But obviously we must assume she doesn't spill any flour when she makes the cake but in this situation it doesn't ask for assumptions. So the answer should be 675 grams of flour.</span>
Answer:
The angle measure for angle c is 138 degrees
The product is less than if it has two mixed numbers i hoped this helped
Answer:
27
Let's call the number of students taking chemistry x which makes the biology students 3x. Since the overlap is 4 the amount of students who take chemistry only or biology only is x - 4 and 3x - 4 respectively therefore we can write:
x - 4 + 3x - 4 + 4 = 32
4x - 4 = 32
4x = 36
x = 9
Since x = 9, the amount of biology students is 3x which is 3 * 9 = 27.