Answer:
59.0
Step-by-step explanation:
Given a right angled triangle, ∆XYZ, to know which trigonometric ratio formula to apply in finding the measure of angle X, note the following:
Opposite side to angle X = 6
Hypotenuse = 7
Therefore, we would apply the following trigonometric ratio formula to solve for m<X:




(rounded to nearest tenth)
If you are going from a larger unit to a smaller unit, you multiply. If you are going from a smaller unit, you divide
Answer:
The number is 12.
Step-by-step explanation:
Given: 
We need to find a number multiply to each term to get rid of fraction.
We will find LCD of denominator.
First we see the numbers at denominator
Denominators are 4,3,2
Now, we will find the LCD of 2,3, and 4
Factor of 2: 2x1
Factor of 3: 3x1
Factor of 4: 2x2x1
LCD = 2x2x3 = 12
If we multiply by 12 to each term to eliminate the fraction.
Simplest equation:


Hence, The number is 12.
Answer:
0.9797
Step-by-step explanation:
We have X = number of insects in the 25bgrams of butter
Then the legal limit of concentration in peanut butter = 30 fragments/ 100 grams
Then insect amount in 25 grams =
E(X) = 30/100 x 25
= 0.3 x 25
= 7.5 fragments of insects
Using the poisson function in Excel, the probability of at least 3 crunchy critters
1 - p(X<=2)
p(X<=2) = POISSON (2, 7.5, TRUE) = 0.020156715
1 - 0.020156715
= 0.9797