Answer:
Step-by-step explanation:
3 1\3 = 1
1 2\5 = 2/5 ..........................
Answer:
![S(\infty)=\frac{40}{3}](https://tex.z-dn.net/?f=S%28%5Cinfty%29%3D%5Cfrac%7B40%7D%7B3%7D)
Step-by-step explanation:
we are given series as
S(infinity)=20-10+5-..
Firstly, we will check type of series
first term=20
second term=-10
third term =5
now, we can find common ratios
![r=\frac{-10}{20} =-0.5](https://tex.z-dn.net/?f=r%3D%5Cfrac%7B-10%7D%7B20%7D%20%3D-0.5)
![r=\frac{5}{-10} =-0.5](https://tex.z-dn.net/?f=r%3D%5Cfrac%7B5%7D%7B-10%7D%20%3D-0.5)
we can see that both ratios are equal
so, this is geometric series
we can use sum of infinite terms formula
![S(\infty)=\frac{a}{1-r}](https://tex.z-dn.net/?f=S%28%5Cinfty%29%3D%5Cfrac%7Ba%7D%7B1-r%7D)
where a is first term
a=20
r=-0.5
now, we can plug values
![S(\infty)=\frac{20}{1+0.5}](https://tex.z-dn.net/?f=S%28%5Cinfty%29%3D%5Cfrac%7B20%7D%7B1%2B0.5%7D)
![S(\infty)=\frac{40}{3}](https://tex.z-dn.net/?f=S%28%5Cinfty%29%3D%5Cfrac%7B40%7D%7B3%7D)
Answer:your answer would be C because if you are trying to find the amount of baking soda the Trisha used the problem would be 3 times 2 to figure out the answer
Step-by-step explanation:
Step-by-step explanation:
![number \: of \: ways \: to \: select \: 3 \: out \: of \: 9 = {C}^{9}_3 = 84](https://tex.z-dn.net/?f=number%20%5C%3A%20of%20%5C%3A%20ways%20%5C%3A%20to%20%5C%3A%20%20select%20%5C%3A%203%20%5C%3A%20out%20%5C%3A%20%20%20of%20%5C%3A%20%209%20%3D%20%20%7BC%7D%5E%7B9%7D_3%20%20%3D%2084)
![ways \: to \: select \: 1red \: and \: 2yellow \: apples \: = {C}^{3}_1 \times {C}^{6}_2 = 3 \times 15 = 45](https://tex.z-dn.net/?f=ways%20%5C%3A%20to%20%5C%3A%20select%20%5C%3A%201red%20%5C%3A%20and%20%5C%3A%202yellow%20%5C%3A%20apples%20%5C%3A%20%20%3D%20%20%7BC%7D%5E%7B3%7D_1%20%5Ctimes%20%20%7BC%7D%5E%7B6%7D_2%20%3D%203%20%5Ctimes%2015%20%3D%2045)
<u>Probability of selecting 1 red and 2 yellow apples</u> = 45 / 84 = 0.53
Answer:
y=3/2x-5
when finding the equation of a line, we use this formula
y=mx+b
where Y= a point on the y-axis
M= ∆y/∆x
x= a point on the x-axis
and b = intercept
Step-by-step explanation:
so to in this case, we are given y= 4, x=6 and y-int = -5
substitute the value in the given equation,
therefore, 4=6m-5
4+5=6m
9/6=M
3/2=m
Answer y=3/2x-5 that is the equation of the line