$25! :)
Good luck! I’d appreciate if you made this the brainliest answer! :)
Mass=Density*Volume
Density=1.1 g/cc
Volume of a cylinder: <span>π*r^2*h
</span>Radius of the top of the can: 3.57
Volume of this can: 480.47
480.47*1.1=528.517
If I'm correct the mass of this can should be 528.517
To round it with those numbers just round it to the nearest 1000, 10,000 and 100,000 and to know to round up or down is that if its 5 or up you round up and for down its 4 or less
Answer:0.849185
Step-by-step explanation:
Binomial probability formula we will use:
where,
The computation of the probability will be :
![$P(x \leq 2 ; 5,0.3)=P(x=0 ; 5,0.3)+P(x=1 ; 5,0.3)+P(x=2 ; 5,0.3)+P(x=3 ; 5,0.3)$\\$=\left[\frac{5 !}{5 !(5-0) !}(0.3)^{0}(1-0.3)^{5-0}\right]+\left[\frac{5 !}{5 !(5-1) !}(0.3)^{1}(1-0.3)^{5-1}\right]$$+\left[\frac{5 !}{5 !(5-2) !}(0.3)^{2}(1-0.3)^{5-2}\right]$$++\left[\frac{5 !}{5 !(5-3) !}(0.3)^{3}(1-0.3)^{5-3}\right]$$++\left[\frac{5 !}{5 !(5-4) !}(0.3)^{4}(1-0.3)^{5-4}\right]$\\$=0.1681+0.3601+0.3087+0.006615+0.00567$\\$\Rightarrow 0.849185$](https://tex.z-dn.net/?f=%24P%28x%20%5Cleq%202%20%3B%205%2C0.3%29%3DP%28x%3D0%20%3B%205%2C0.3%29%2BP%28x%3D1%20%3B%205%2C0.3%29%2BP%28x%3D2%20%3B%205%2C0.3%29%2BP%28x%3D3%20%3B%205%2C0.3%29%24%5C%5C%24%3D%5Cleft%5B%5Cfrac%7B5%20%21%7D%7B5%20%21%285-0%29%20%21%7D%280.3%29%5E%7B0%7D%281-0.3%29%5E%7B5-0%7D%5Cright%5D%2B%5Cleft%5B%5Cfrac%7B5%20%21%7D%7B5%20%21%285-1%29%20%21%7D%280.3%29%5E%7B1%7D%281-0.3%29%5E%7B5-1%7D%5Cright%5D%24%24%2B%5Cleft%5B%5Cfrac%7B5%20%21%7D%7B5%20%21%285-2%29%20%21%7D%280.3%29%5E%7B2%7D%281-0.3%29%5E%7B5-2%7D%5Cright%5D%24%24%2B%2B%5Cleft%5B%5Cfrac%7B5%20%21%7D%7B5%20%21%285-3%29%20%21%7D%280.3%29%5E%7B3%7D%281-0.3%29%5E%7B5-3%7D%5Cright%5D%24%24%2B%2B%5Cleft%5B%5Cfrac%7B5%20%21%7D%7B5%20%21%285-4%29%20%21%7D%280.3%29%5E%7B4%7D%281-0.3%29%5E%7B5-4%7D%5Cright%5D%24%5C%5C%24%3D0.1681%2B0.3601%2B0.3087%2B0.006615%2B0.00567%24%5C%5C%24%5CRightarrow%200.849185%24)
The probability that at most 4 are accepted = 0.849185
Answer:
(- 2, 0 ) and (- 4, - 2 )
Step-by-step explanation:
Given the 2 equations
y = x + 2 → (1)
y = x² + 7x + 10 → (2)
Since both equations express y in terms of x we can equate them, that is
x² + 7x + 10 = x + 2 ( subtract x + 2 from both sides )
x² + 6x + 8 = 0 ← in standard form
(x + 2)(x + 4) = 0 ← in factored form
Equate each factor to zero and solve for x
x + 2 = 0 ⇒ x = - 2
x + 4 = 0 ⇒ x = - 4
Substitute these values into (1) for corresponding values of y
x = - 2 : y = - 2 + 2 = 0 ⇒ (- 2, 0 )
x = - 4 : y = - 4 + 2 = - 2 ⇒ (- 4, - 2 )
Solutions are (- 2, 0 ) and (- 4, - 2 )
