Answer:
204 cm
Step-by-step explanation:
Triangle area = base × height ÷ 2
6×4÷2=12
Rectangle area = side 1 × side 2
6×10=60
5×10=50
There are 2 triangles, so make 12×2=24, 24 is the surface area of the triangles.
There are 2 rectangles with 5 in one side, so make 50×2=100 of area of this 2 rectangles
Now just sum the areas:
100+24+60= 204
Its going to be (8/15) and (12/5)
I’m trying to find out what you need help with? Could you put the question?
Answer:
The probability that 5 chosen bagels of which exactly 3 are Asiago cheese = 0.3087 or 30.87%
Step-by-step explanation:
Given:
Total bagels brought to school = 10
Number of Asiago cheese bagels = 7
To find the probability of randomly choosing 5 Asiago cheese bagels of which exactly 3 are Asiago cheese.
Solution:
Let probability of choosing an Asiago cheese bagel be the successful event.
Probability of choosing one Asiago cheese bagels = ![\frac{7}{10}=0.7](https://tex.z-dn.net/?f=%5Cfrac%7B7%7D%7B10%7D%3D0.7)
Probability of success = 0.7
Probability of failure ( not choosing an Asiago cheese bagel) = 1 - Probability of success = ![1-0.7=0.3](https://tex.z-dn.net/?f=1-0.7%3D0.3)
Using Bernoulli Trials
To calculate the binomial probability of obtaining exactly
events in
trials the formula used is:
⇒ ![nCr.p^r.q^{(n-r)}](https://tex.z-dn.net/?f=nCr.p%5Er.q%5E%7B%28n-r%29%7D)
where
Probability of success
Probability of failure
Thus, probability of randomly choosing 5 Asiago cheese bagels of which exactly 3 are Asiago cheese can be calculated as :
⇒ ![5C3(0.7)^3(0.3)^2](https://tex.z-dn.net/?f=5C3%280.7%29%5E3%280.3%29%5E2)
⇒ ![\frac{5!}{(5-3)!3!}(0.343)(0.09)](https://tex.z-dn.net/?f=%5Cfrac%7B5%21%7D%7B%285-3%29%213%21%7D%280.343%29%280.09%29)
⇒ ![\frac{5!}{(2)!3!}(0.343)(0.09)](https://tex.z-dn.net/?f=%5Cfrac%7B5%21%7D%7B%282%29%213%21%7D%280.343%29%280.09%29)
⇒ ![10(0.343)(0.09)](https://tex.z-dn.net/?f=10%280.343%29%280.09%29)
⇒
(Answer)
Answer:
15 grams
Step-by-step explanation:
30% of 50 grams are cocoa.
Convert the % to a decimal and multiply by 50 grams.
(0.30)*(50 g) = 15 grams