Answer:
bearing of B from A is 245°
Step-by-step explanation:
the bearing of B from A is the measure of the clockwise angle from the northline N to B , that is
360° - 115° = 245°
Answer:
Account 1 yields greater return.
Step-by-step explanation:
Lets solve for the first formula:

First, change 6.5% into a decimal:
6.5% ->
-> 0.065
Now, plug in the values for Account 1:


<u>Now solve for Account 2:</u>
Change 6% into a decimal:
6% ->
-> 0.06
Now plug in the values:


Account 1 yields better money after 10 years.
Answer:
Since the computed value of t= 0.833 does not fall in the critical region we therefore do not reject H0 and may conclude that population mean is greater than 160. Or the sample comes from population with mean of 165.
Step-by-step explanation:
- State the null and alternative hypothesis as
H0: μ= 160 against the claim Ha :μ ≠160
Sample mean = x`= 165
Sample standard deviation= Sd= 12
2. The test statistic to use is
t= x`-μ/sd/√n
which if H0 is true , has t distribution with n-1 = 36-1= 35 degrees of freedom
3. The critical region is t< t (0.025(35)= 2.0306
t= x`-μ/sd/√n
4. t = (165-160)/[12/√(36)] = 5/[6] = 0.833
5. Since the computed value of t= 0.833 does not fall in the critical region we therefore do not reject H0 and may conclude that population mean is greater than 160. Or the sample comes from population with mean of 165.
Now
6. The p-value is 0 .410326 for t= 0.8333 with 35 degrees of freedom.
Answer: 126.76056338%
Step-by-step explanation: To answer the question what percent of 71 is 90, we translate the question into an equation.
We have <em>"what percent" </em>which we can represent by the variable X. Next we have <em>"of 71"</em> which means "times 71" and <em>"is 90" </em>means "equals 90."
Now to solve for <em>x</em>, since <em>x</em> is being multiplied by 71, we need to divide by 71 on both sides of the equation.
<em />
On the left side of the equation the 71's cancel and we have <em>x</em>.<em> </em>On the right side of the equation we have 90 divided by 71 which is 1.2676056338.
Now, remember that we want to write our answer as a percent. To write 1.2676056338 as a percent, we move the decimal point two places to the right and we get 126.76056338%.
Answer:
95°
Step-by-step explanation:
- <em>Sum of 3 angles of a triangle equals to 180°</em>
<u>Here we have angles of 30° and 55°, so the remaining angle is:</u>