Answer: 21/400
Step-by-step explanation:
Multivitamin:
8 cherry, 5 grape, and 7 orange
Total fruits in Multivitamin container :
(8 + 5 + 7) = 20
P(orange) = Total required outcome / Total possible outcomes)
P(orange) = 7/20
Calcium vitamin :
11 berry, 3 lemon, and 6 pineapple
Total fruits in calcium vitamin container:
(11 + 3 + 6) = 20
Probability of picking a lemon:
P(lemon) = Total required outcome / Total possible outcomes)
P(lemon) = 3/20
Therefore, probability of picking an orange and a lemon equals:
P(orange) × p(lemon) = (7/20) × (3/20) = 21/400
Answer:
Step-by-step explanation:
a) Sample statistics are used to estimate population value. Since 48% is a sample proportion, therefore, it is a sample statistic.
b) For 95% confidence level, z* = 1.96.
\hat{p}\pm z^* \sqrt{\frac{\hat{p}(1-\hat{p})}{n}}= 0.61\pm 0.61\sqrt{\frac{0.61(1-0.61)}{1578}}=0.61\pm 0.024 \ or (0.586, 0.634).
We are 95% confident that the true proportion of US residents who think marijuana should be made legal lies between 58.6% and 63.4%.
c)
\\np=1578(0.61)=962.58
\\n(1-p)=1578(1-0.61)=615.42
Since both np and n(1-p), are at least 10, the normal model is a good approximation for these data.
d) As the lower limit of confidence interval is less than 0.5, less than 50% population is also a plausible value of true proportion. This means the statement "Majority of Americans think marijuana should be legalized" is not justified.
C:t=2:3
t:h=2:1
multiply first equation by 2 and 2nd by 3
c:t=4:6
t:h=6:3
so
c:t:h=4:6:3
if t is 4 more than c
t is 6 units and c is 4
6-4=2
so 4=2 units
2=1 unit
hollly is 3 units
3*2=6
holly has 6 cards
Then make up a word problem that you can use decimals in.
