461 because you take 506-45 to find x(the unknown number)
The change that Angie will receive from an $100 bill is $38.944.
<h3>How to calculate the value?</h3>
Angie went to the store and bought 3 pairs of tennis shoes that each cost $24. The total cost will be:
= 3 × $24 = $72
Sales tax was then calculated at 6%. This will be:
= 6% × $72
= $4.32
Total cost = Cost + Tax
= $72 + $4.32
= $76.32
Coupon off = 20% × $76.32 = $15.264
Total amount paid = Cost - Coupon
= $76.32 - $15.264
= $61.056
The change gotten will be:
= $100 - $61.056
= $38.944
Learn more about money on:
brainly.com/question/24373500
#SPJ1
Answer:0.849185
Step-by-step explanation:
Binomial probability formula we will use:
where,
The computation of the probability will be :
![$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
<span>It depends what the numbers are. If it is two positive integers then the sum will be positive. But if it is two negative integers then the sum will be negative.
</span>
(3x +4) + (6x + 5) = 90*
*note that complementary = 90, supplementary = 180
9x + 9 = 90
9x = 90 - 9
9x/9 = 81/9
x = 9
hope this helps
