(5y + 2) + 14x = 5y + (2 + 14x)

Answer:

6

Step-by-step explanation:

The final amount Alfredo paid for the fishing pole is $40.4. Step-by-step explanation: The original price of the fishing rod is $97, which has a 60% discount. The discount amount equals 60% of $97, calculated as 0.60 × $97, totalling $58.2. To find the price before tax, subtract the discount from the original price: $97 - $58.2 = $38.8. Now, applying the sales tax of 4%: 4% of $38.8 is calculated as 0.04 × $38.8, equalling $1.552. Adding this tax to the price before tax gives us the total price of $38.8 + $1.552, which rounds up to $40.4.

Response: (0.8115, 0.8645)

Step-by-step outline:

Define p as the proportion of individuals who leave one space after a sentence.

Provided: Sample size: n= 525

Number of respondents indicating they leave one space: 440

Thus, the sample proportion is:

The z-score for a 90% confidence interval is: 1.645

The formula for determining the confidence interval:

Consequently, a 90% confidence interval for the proportion of people who leave one space after a period is: (0.8115, 0.8645)

Option b) 1960 is the total hours worked by the electrician.

Step-by-step explanation:

It is stated that a full-time electrician will put in 40 hours weekly.

Hence, we should determine the total hours he could work in a year, which consists of twelve months.

Thus, a year consists of 365 days.

To find the number of weeks in these twelve months:

Number of weeks = Total days in a year / 7 days of the week

⇒ 365 / 7

⇒ 52.14 (approximately 52 weeks)

It translates to 52 weeks within twelve months.

Out of these 52 weeks, three weeks are designated for vacation.

The total weeks the electrician will work = 52 weeks - 3 weeks

⇒ 49 weeks.

Thus, the electrician worked for 49 weeks.

To find his total worked hours = 49 weeks × 40 hours

⇒ 1960 hours.

So, the total hours the electrician worked amounts to 1960 hours, which corresponds to option b).

Answer:

8$

Step-by-step explanation:

Since the initial car wash price remains unchanged, but subsequent washes see a reduction, you only subtract 7 dollars from the total since the discount applies 7 times. Hence, 15-7=8 so 8 dollars is the final amount.