Answer:
40 bottles of juice
60 bottles of water
Step-by-step explanation:
let w represent water, let j represent juice. set up a system of equations:
w+2j=140
w+j=100
isolate the w by itself on the bottom equation:
w=100-j
solve the top equation by substitution, substituting 100-j for w:
w+2j=140
100-j+2j=140
100+j=140
j=40
this means that they bought 40 bottles of juice.
to find the amount of bottles of water the bought, substitute 40 for j in either of the equations (i did it in the bottom one, because it's easier):
w=100-j
w=100-40
w=60
so, they bought 60 bottles of water.
Answer:
there are 48 blue cards
Step-by-step explanation:
4+4+4+4+4+4+4+4+4+4+4+4+3+3+3+3+3+3+3+3+3+3+3+3=84
4×12 =48
Ignore the fraction bar. The plus and minus sign is a plus over a minus. It means that the 5 is either added or subtracted from 350 for the actual temperature
Answer:
The probability is 0.8704
Step-by-step explanation:
A Binomial distribution apply when we have n identical and independent events with two possible results, success or fail, and a probability p of success and 1-p of fail. Then, the probability that from the n events, x are success is:
![P(x)=\frac{n!}{x!(n-x)!}*p^{x}*(1-p)^{n-x}](https://tex.z-dn.net/?f=P%28x%29%3D%5Cfrac%7Bn%21%7D%7Bx%21%28n-x%29%21%7D%2Ap%5E%7Bx%7D%2A%281-p%29%5E%7Bn-x%7D)
Then, the number of motorist driving more than 5 miles per hour over the speed limit follow a Binomial Distributions, because we have 4 randomly selected motorists with two possible options: they are driving more than 5 miles per hour over the speed limit or they aren't, and the probability that they are driving more that 5 miles per hour over the speed is 0.4.
Finally, the probability P that among 4 randomly selected motorists, the officer will find at least 1 motorist driving more than 5 miles per hour over the speed limit is:
P = P(1) + P(2) + P(3) + P(4)
Where n is equal to 4 and p is equal to 0.4. Replacing the values for every x, we get:
![P(1)=\frac{4!}{1!(4-1)!}*0.4^{1}*(1-0.4)^{4-1}=0.3456](https://tex.z-dn.net/?f=P%281%29%3D%5Cfrac%7B4%21%7D%7B1%21%284-1%29%21%7D%2A0.4%5E%7B1%7D%2A%281-0.4%29%5E%7B4-1%7D%3D0.3456)
![P(2)=\frac{4!}{2!(4-2)!}*0.4^{2}*(1-0.4)^{4-2}=0.3456](https://tex.z-dn.net/?f=P%282%29%3D%5Cfrac%7B4%21%7D%7B2%21%284-2%29%21%7D%2A0.4%5E%7B2%7D%2A%281-0.4%29%5E%7B4-2%7D%3D0.3456)
![P(3)=\frac{4!}{3!(4-3)!}*0.4^{3}*(1-0.4)^{4-3}=0.1536](https://tex.z-dn.net/?f=P%283%29%3D%5Cfrac%7B4%21%7D%7B3%21%284-3%29%21%7D%2A0.4%5E%7B3%7D%2A%281-0.4%29%5E%7B4-3%7D%3D0.1536)
![P(4)=\frac{4!}{4!(4-4)!}*0.4^{4}*(1-0.4)^{4-4}=0.0256](https://tex.z-dn.net/?f=P%284%29%3D%5Cfrac%7B4%21%7D%7B4%21%284-4%29%21%7D%2A0.4%5E%7B4%7D%2A%281-0.4%29%5E%7B4-4%7D%3D0.0256)
Finally, P is equal to:
P = 0.3456 + 0.3456 + 0.1536 + 0.0256
P = 0.8704
Answer:
19.5 (Rounded: 20)
Step-by-step explanation:
In math, the mean is every number added together, then divided by the amount of numbers. For example, 1,2,5,4,8 would have a median of 4.
<em>(1 + 2 + 4 + 5 + 8 = 20 ÷ 5 = 4)</em>
Your dot plot has 14 total numbers, meaning that you add up all the numbers and divide by 14.
16 + 17 + 17 + 17 + 17 + 19 + 19 + 19 + 19 + 21 + 22 + 22 + 23 + 25 = 273
273 ÷ 14 = 19.5
If you don't need to round, 19.5 is correct. However, if you need to round my best guess is 20. Good luck!