Find out what half of 39° (angle ABD) Then subtract that from 180° (angle ABE). When the plain flus faster angle (ABD) gets smaller and angle (ABE) gets bigger. Hope that helps.
2 1/4 miles => 1 week
1 mile => 1 ÷ 9/4
( 9/4 is an improper fraction of 2 1/4 )
12 1/2 miles => ( 1 ÷ 9/4 ) × 25/2
= 50/9
= 5 5/9 weeks
( 25/2 is an improper fraction of 12 1/2 )
Therefore, it will take 5 5/9 weeks for the company to replace the stretch of road.
( you can round it off to 6 weeks if the qn specify to give to the nearest whole number )
Answer:
$12.85
Step-by-step explanation:
First we need to find the sale price of the CD
Sale price = old price - old price * discount rate
= 17 - 17* .3
= 17 - 5.1
= 11.9
The sale price of the CD is 11.90
Now we need to find the tax
tax = sale price of cd * tax rate
= 11.9 * .08
= .95
The final cost of the CD is sale price of CD plus the tax
Total cost = sale price of CD + tax
= 11.90 + .95
=12.85
Plug in the points and see if y and x are equal to each other.
(2,3)
y= x-1
3= 2-1
3= 1 (not the solution)
y=3x
3=3*3
3=9 (not the solution)
y=x+1
3=2+1
3=3 (solution) We can check to make sure.
y=-3x
3=-3*3
3=-9 (not the solution)
y=x+1 <em>is the answer.
</em>
I hope this helps!
~kaikers
Answer:
b) 95%
Step-by-step explanation:
We have been given that scores on an approximately bell shaped distribution with a mean of 76.4 and a standard deviation of 6.1 points. We are asked to find the percentage of the data that is between 64.2 points and 88.6 points.
First of all, we will find z-scores of each data point as:




Let us find z-score corresponding to normal score 88.6.



To find the percentage of the data is between 64.2 points and 88.6 points, we need to find area under a normal distribution curve that lie within two standard deviation of mean.
The empirical rule of normal distribution states that approximately 95% of data points fall within two standard deviation of mean, therefore, option 'b' is the correct choice.