C the gragh shows how much more they need and its perfect for them.
There are 12 months in a year, and 15 years to pay the mortgage.
Therefore you are simply doing 12 multiplied by 15.
12 × 15
= 180
So your answer is C. 180
Answer:
The 99% confidence interval would be given by (0.172;0.228)
Step-by-step explanation:
Previous concepts
A confidence interval is "a range of values that’s likely to include a population value with a certain degree of confidence. It is often expressed a % whereby a population means lies between an upper and lower interval".
The margin of error is the range of values below and above the sample statistic in a confidence interval.
Normal distribution, is a "probability distribution that is symmetric about the mean, showing that data near the mean are more frequent in occurrence than data far from the mean".
The population proportion have the following distribution
Solution to the problem
In order to find the critical value we need to take in count that we are finding the interval for a proportion, so on this case we need to use the z distribution. Since our interval is at 99% of confidence, our significance level would be given by
and
. And the critical value would be given by:
The confidence interval for the mean is given by the following formula:
If we replace the values given we got:
The 99% confidence interval would be given by (0.172;0.228)
Answer:
3¾
Step-by-step explanation:
Geometric sequence also known as geometric progression, can be said to be a sequence with a constant ratio between the terms.
Formula for geometric sequence:
Given:
First term, a1 = 30
ratio, r = ½
Required:
Find the fourth term
Where, the first term, a¹ = 30
Second term: a² = 30 * ½ = 15
Third term: a³ = 15 * ½ = 7.5
Fourth term: a⁴ = 7.5 * ½ = 3.75 = 3¾
Therfore the fourth term of the geometric sequence is 3¾
Answer:
The measure of angle G is 
Step-by-step explanation:
Let
F ----> the measure of interior angle F of the triangle FGH
G ---> the measure of interior angle G of the triangle FGH
H ---> the measure of interior angle H of the triangle FGH
we know that
The sum of the interior angles in a triangle must be equal to 180 degrees
so
----> equation A
----> equation B
----> equation C
Solve the system of equations by substitution
substitute equation B and equation C in equation A

Solve for F



Find the measure of angle G

substitute the value of F
