The equation of a line is 4x−3y=−24. What is the x-intercept of the line?
1 answer:
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These are 16 questions and 16 answers
Answer:
- See below and the attachment.
Explanation:
From 1 to 10, find the sale price to the nearest cent:
1. $239 television; 10% discount
2. $72 game; 20% discount
You can also multiply by the factor (1 - % discount);
For instance for 20% discount, the factor is 1 - 20% = 1 -0.20 = 0.80. Which means that you can multiply the original price by the factor 0.80 to get the sale price:
3. $18.95 football; 15% discount
4. $10.99 CD; 25% discount
5. $149 MP3 player; 40% discount
6. $213 ski jacket; 30% discount
7. $595 refrigerator; 20% discount
8. $64 video game; 25% discount
9. $119 croquet set; 50% discount
You should not have problems with this: 50% discount means that you will pay half the price.
Hence, the sale price is:
10. $14.99 clock; 10% discount
11. A radio is on sale for $50. If this price represents a 10% discount from the original price, what is the original price to the nearest nickel? Hint: need to use a proportion to find the whole.
First note that if the discount is 10%, the sale price is 100% - 10% = 90% of the original price.
Let's set the proportion that represents the proportionality between the two ratios, starting with the fact that $ is the 90% and original price is the 100% (the whole part):
- First ratio: $50/90
- Second ratio: x /100
- Proportion: first ratio = second ratio
- Solve for x:
Hence, the original price is $55.55
12. A box of laundry detergent is on sale for $6.50. If this price represents a 40% discount from the original price, what is the original price to the nearest cent?
Use the same hint used in the question above: set a proportion.
Remember a 40% discount means that the sale price is 60% of the original price:
13. Determine the price of a $35 basketball that is on sale for 50% off the regular price.
Again, 50% discount means that the sale price will be half of the original price, or the original price will be double of the sale price.
Here, the original price is $35, hence the sale price is $35/2 = $17.50
14. Dominic bought a new alarm clock that was on sale for $18.75. If this price represents a 30% discount from the original price, what is the original price to the nearest cent?
Since the price is after a 30% discount, the sale price is a 70% of the original price, and you set the proportion:
Solve for x:
15. Michael bought a new fishing rod. The regular price of the fishing rod was $125.99. He bought it on sale with a 15% discount. Sales tax of 3% is applied to the discounted total. What was the sale price with tax of Michael’s fishing rod to the nearest cent?
- First find the the sale price after the 15% discount:
- Now add the 3% tax:
Hence, the sale price with tax is $110.30
The last answer (# 16) is in the attached file, since this already exceeds the number of characters allowed.
Answer:
The 90% confidence interval to estimate the average difference in scores between the two courses is (-1.088, 20.252).
Step-by-step explanation:
We have the standard deviation for the differences, which means that the t-distribution is used to solve this question.
The first step to solve this problem is finding how many degrees of freedom, we have. This is the sample size subtracted by 1. So
df = 8 - 1 = 7
90% confidence interval
Now, we have to find a value of T, which is found looking at the t table, with 7 degrees of freedom(y-axis) and a confidence level of . So we have T = 1.8946
The margin of error is:
In which s is the standard deviation of the sample and n is the size of the sample.
The lower end of the interval is the sample mean subtracted by M. So it is 9.582 - 10.67 = -1.088
The upper end of the interval is the sample mean added to M. So it is 9.582 + 10.67 = 20.252
The 90% confidence interval to estimate the average difference in scores between the two courses is (-1.088, 20.252).