Leslie is running for a political office. She wants to poll adults in her district to understand their stances on various issues

Answer:

w/2 = 7.5/5

3kg

Here's the detailed explanation:

Remaining question below:

Which proportion could Maddy utilize to solve this issue?

a. w/2 = 7.5/5

b. w/7.5 = 5/2

Solve the proportion to determine the weight of a 2 liter jug.

_____kg

A 5-liter container of sports drink weighs 7.5kg

A 2-liter jug of this drink will weigh x kg

Finding w

Ratio of weight to volume

7.5kg: 5liters translates to 7.5/5

wkg: 2 liters means w/2

Establishing equivalent ratios

7.5 / 5 = w / 2

Cross-multiplying gives

7.5*2=5*w

15=5w

Dividing both sides by 5 results in

w=3

w=3kg

Thus, the weight of the 2-liter sports drink jug is 3kg

Answer:

(a) What will his age be after 5 years?

"5 + y" years old

(b) What was his age 6 years ago?

"y - 6" years old

(c) If his grandfather’s age is five times his, how old is his grandfather?

"5y" years old

(d) His father is 6 years older than three times his age. How old is his father?

"6 + 3y" years old

Note: Disregard the quotation marks, ""

Answer:

Step-by-step explanation:

Notation

is the sample mean

indicates the population mean (the variable of interest)

s signifies the sample standard deviation

n denotes the sample size

Solution to the problem

The mean's confidence interval is derived from the following formula:

  (1)

In this instance, the 9% confidence interval corresponds to:

We can determine the mean using the following:

Additionally, the margin of error can be calculated as:

The margin of error for this situation is expressed as:

Next, we find the standard error:

The critical value for a 95% confidence interval using a normal standard distribution is roughly 1.96, and substituting gives us:

For the 98% confidence interval, the significance corresponds to and with a critical value of 2.326, yielding a confidence interval of: