<u><em>Answer:</em></u>
70
<u><em>Explanation:</em></u>
Assume that the number we are looking for is x
one tenth is interpreted into 
Now, we know that one tenth of the number is 7, this means that:
* x = 7
Solve for x by multiplying both sides of the equation by 10, we get:
* x * 10 = 7 * 10
x = 70
Hope this helps :)
O is the midpoint so both sides FO and OG need to equal each other.
3x + 17 = 7x - 15
Subtract 3x from both sides:
17 = 4x -15
Add 15 to both sides:
32 = 4x
Divide both sides by 4:
x = 32/4
X = 8
Now you have the value of X, solve for the lengths:
FO = 3x +17 = 3(8) +17 = 24 +17 = 41
OG = 7x -15 = 7(8) -15 = 56-15 = 41
Total length would be 41 + 41 = 82
Answer:
1. Option A
2. Option B
Step-by-step explanation:
I would like to elaborate on the answer to the second question, since the first answer is actually option a. Why? The question asks for a parametric equation, not set, so it would be choice a.
2. x=3t + 5 - isolate t
t=(x-5)/3 - substitute into the second equation
y = [(x-5)/3]^2 - 1
your solution is option b
Answer:
$26,096
Step-by-step explanation:
property taxes = 31 January + 28 February + 31 March + 30 April + 31 May + 4 June = 155 days
property taxes = (155 days/365 days) x $5,309 = $2,254
agent's commission = 7% x $547,000 = $38,290
seller's net = $547,000 - $480,000 (mortgage) - $38,290 (agent's commission) - $360 (home warranty) - $2,254 (property taxes) = $26,096
Answer:
And we can calculate the p value with the following probability taking in count the alternative hypothesis:
And for this case using a significance level of 
we see that the p value is larger than the significance level so then we can conclude that we FAIL to reject the null hypothesis and we don't have enough evidence to conclude that the true proportion is less than 0.02
Step-by-step explanation:
For this case we want to test the following system of hypothesis:
Null hypothesis: 
Alternative hypothesis: 
The statistic for this case is given by:
(1)
And for this case we know that the statistic is given by:
And we can calculate the p value with the following probability taking in count the alternative hypothesis:
And for this case using a significance level of we see that the p value is larger than the significance level so then we can conclude that we FAIL to reject the null hypothesis and we don't have enough evidence to conclude that the true proportion is less than 0.02
