Answer:
8 oranges
Step-by-step explanation:
2.10/7=0.3
0.3*8=2.40
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The probability of drawing a heart from the standard deck of cards and then drawing a 5 is 1/52
<h3>How to determine the probability?</h3>
In a standard deck of cards, we have:
Total = 52
Heart = 13
5's = 4
Since the cards are replaced, the probability is calculated as:
P(Heart and 5) = Heart/Total * 5s/Total
This gives
P(Heart and 5) = 13/52* 4/52
Evaluate
P(Heart and 5) = 1/52
Hence, the probability of drawing a heart from the standard deck of cards and then drawing a 5 is 1/52
Read more about probability at:
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Using the sine rule:
sinx/37 = sin42/31
sinx = 37 x sin42/31
x = (i dont have a calulator but use inverse sign to get this answer)
Answer:
The 80% confidence interval for the mean per capita income in thousands of dollars is between $21.3 and $21.9.
Step-by-step explanation:
We have that to find our
level, that is the subtraction of 1 by the confidence interval divided by 2. So:

Now, we have to find z in the Ztable as such z has a pvalue of
.
So it is z with a pvalue of
, so 
Now, find the margin of error M as such

In which
is the standard deviation of the population and n is the size of the sample.

The lower end of the interval is the sample mean subtracted by M. So it is 21.6 - 0.3 = $21.3.
The upper end of the interval is the sample mean added to M. So it is 21.6 + 0.3 = $21.9.
The 80% confidence interval for the mean per capita income in thousands of dollars is between $21.3 and $21.9.