Answer:
407
there wont be any left overs
How can I solve this? Thank you
1 answer:
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Answer:
There are 685464 ways of selecting the 5-card hand
Step-by-step explanation:
Since the hand has 5 cards and there should be at least 1 card for each suit, then there should be 3 suits that appear once in the hand, and one suit that apperas twice.
In order to create a possible hand, first we select the suit that will appear twice. There are 4 possibilities for this. For that suit, we select the 2 cards that appear with the respective suit. Since there are 13 cards for each suit, then we have possibilities. Then we pick one card of all remaining 3 suits. We have 13 ways to pick a card in each case.
This gives us a total of 4*78*13³ = 685464 possibilities to select the hand.
Answer:
There is sufficient evidence to conclude that child booster seats meet the specific requirement.
Step-by-step explanation:
Sample: 697, 759, 1266, 621, 569, 432
Formula:
where are data points,
is the mean and n is the number of observations.
Sum of squares of differences = 415616
We are given the following in the question:
Population mean, μ = 1000 hic
Sample mean, = 724
Sample size, n = 16
Alpha, α = 0.05
Sample standard deviation, s = 288.31
First, we design the null and the alternate hypothesis
We use one-tailed(left) t test to perform this hypothesis.
Formula:
Putting all the values, we have
Now,
Calculation the p-value from table,
P-value = 0.033
Since,
Since, the p value is lower than the significance level, we fail to accept the null hypothesis and reject it. We accept the alternate hypothesis.
We conclude that the measurement is less than 1000 hic.
Thus, there is sufficient evidence to conclude that child booster seats meet the specific requirement.