Talia wants to write the equation of the graphed line in point-slope form. These are the steps she plans to use:

Answer: D. n + q = 20 5n + 25q = 300 Let n indicate the total number of nickels you own. Let q signify the quarters you possess. Given that you have 20 coins, this leads to the equation n + q = 20. The overall value of the coins equals $3. Since a quarter is worth $0.25 and a nickel is valued at $0.05, the following equation results: 0.05n + 0.25q = 3. After multiplying both sides by 100, you get 5n + 25q = 300. The right choice is D. n + q = 20 5n + 25q = 300

Answer:

214

Step-by-step explanation:

Answer:

(B) 0.2843

Step-by-step explanation:

Let d represent the difference in proportions between Country X and Country Y for adults who first married from ages 18 to 32.

The hypotheses can be stated as

: d=0.15

: d<0.15

The test statistic can be computed with the formula

where

• p1 corresponds to the sample proportion from Country X (0.36)

• p2 corresponds to the sample proportion from Country Y (0.26)

• p indicates the pooled proportion of p1 and p2 ()

• n1 is the sample size from Country X (60)

• n2 is the sample size from Country Y (50)

Thus, is approximately 0.5646

The p-value for this test statistic is approximately 0.2843

The p-value indicates the likelihood that the difference in proportions between a random sample of 60 adults from Country X and a sample of 50 adults from Country Y who were first married at ages 18 to 32 is at least 0.15.

The slope-intercept form is defined as: m for slope and b for y-intercept, which corresponds to the point (0, b). For the points (4, 3) and (0, 1), we find b = 1. Now let's calculate the slope.

Answer:

The 10th term in the geometric progression is 29.

Step-by-step explanation:

Given: In a geometric series, [T3 = 18] and [T6 = 486].

To find: The term [T10]?

Solution:

A geometric sequence takes the form [a, ar, ar^2,...]

Where, a represents the first term, and r denotes the common ratio.

The nth term is expressed as [Tn = a * r^(n-1)]

From the information provided: [T3 = a * r^2 = 18]

And [T6 = a * r^5 = 486]

By dividing the second equation by the first:

[(a * r^5) / (a * r^2)] = 486 / 18

[r^3 = 27]

Taking the cube root provides: r = 3.

Inserting r into one of the equations allows us to solve for a.

Substituting r gives: [T3 = a * r^2 = 18]

Thus, the first term is a = 2, and the common ratio is r = 3.

The 10th term in the geometric progression is computed as:

[T10 = a * r^(10-1)]

[Thus, T10 = 29.]