Answer: x = 121 degrees
Step-by-step explanation:
(n-2) x 180
(6-2) x 180
4 x 180=720
599 +x = 720
599 - 599 = x +x = 720 - 599 = 121
and then add up all the degrees
88 + 105 + 142 + 140 + 124 + 121 = 720
so there for you answer for x is 121 degrees
Answer:
10
Step-by-step explanation:
nCr = 5!/(3! × (5 - 3)!)
= 10
123/ 124/ 125/ 134/ 135/ 145/ 234/ 235/ 245/ 345
The formula for combinations is generally n! / (r! (n -- r)!), where n is the total number of possibilities to start and r is the number of selections made. In our example, we have 52 cards; therefore, n = 52.
9514 1404 393
Answer:
136.96754 shares, or maybe 136 shares
Step-by-step explanation:
At a cost of $146.02 per share, $20,000 will buy ...
$20,000 / (146.02/share) = 136.96754 shares
__
Some accounts will let you purchase partial shares; others require you purchase whole shares. $20,000 is enough to pay for 136.96754 shares, but you may be able to purchase only 136 shares. (You would have $141.28 in cash remaining after that transaction.)
Some accounts manage shares in multiples of 0.001 shares; others may use more decimal places. Above, we have shown the quantity that spends the entire $20,000. Using fewer decimal places will leave some cash remaining.
We have assumed you're not paying any brokerage fees or loads that would reduce the amount of money that actually purchases shares.
_____
<em>Additional comment</em>
Whenever you buy anything, the cost of more than one of it is the unit price times the number of units. (Quantity discounts may apply.) In like fashion, the cost of multiple shares of stock is the single-share cost multiplied by the number of shares. As with all multiplication relations, a corresponding division relation is <em>the number of shares is the total cost divided by the cost per share</em>.
Answer:
The conclusion is that the researcher was correct
Step-by-step explanation:
From the question we are told that
The sample size is 
The sample mean is 
The standard deviation is 
The significance level is 
The Null Hypothesis is 
The Alternative Hypothesis is 
The test statistic is mathematically represented as
Substituting values
Now the critical value for 
is
This obtained from the critical value table
So comparing the critical value of alpha and the test value we see that the test value is less than the critical value so the Null Hypothesis is rejected
The conclusion is that the researcher was correct
We know that
[area of triangle]=b*h/2
b=15 units
h=8 units
[area of triangle]=15*8/2---------> 60 units ²
see the attached figure
the answer is
60 units ²
