Answer
Find out the m∠p .
To prove
As in ΔDAB is a right triangle
Apply pythagorean theorem
Hypotenuse ² = Perpendicular ² + Base²
DB² = AB² + AD²
AB = 5 units
AD = 6 units
Put in the above formula
DB² = 5² + 6²
= 25 + 36
= 61
= 7.8 units (approx)
Now in ΔDCB is a right triangle .
By using the trignometric identity .
As DC = 4 units
DB = 7.8 units (approx)
Put all the values in the trignometric identity .
∠p = 59.15 ° (approx)
Just add the new paycheck to the old balance:
350.25 + 545.95 = $896.2
Answer:
The percentage increase in the cost of Boris car insurance cost is 249%
Step-by-step explanation:
In this question, we want to calculate the percentage increase in the cost of car insurance paid by Boris
Mathematically, to calculate this percentage increase, we shall need to make use of a mathematical formula.
Mathematically, the percentage increase would be;
{(new value paid-old value paid)/old value paid} * 100%
From the question, we can identify that the old value paid is £256 while the new value paid is £894
Thus, the percentage increase would be ;
(894-256)/256 * 100% = 638/256 * 100 = 2.4921875 * 100 = 249.21875 which is 249% increase to the nearest whole percentage
Answer:
Step-by-step explanation:
Information provided
n=100 represent the random sample taken
X=21 represent the number of bags overfilled
estimated proportion of overfilled bags
is the value that we want to test
z would represent the statistic
Hypothesis
We need to conduct a hypothesis in order to test if the true proportion of overfilled bags is higher than 0.15.:
Null hypothesis:
Alternative hypothesis:
The statistic for this case is:
(1)
And replacing the info given we got:
Adding a negative interference is the same as subtracting a positive integer
