Find three solutions for the linear equation 4x −3y = 1, and plot the solutions as points on a coordinate plane.

P(volleyball and baseball) = 4/200 x 100 = 2%
P(volleyball or baseball) = P(volleyball ∪ baseball) = P(volleyball) + P(baseball) - P(volleyball and baseball) = 12% + 15% - 2% = 25%.

Thus, 25% of students participate in either volleyball or baseball.

Starting with the equation Y - 4x = 7, we can express y as y = 4x + 7. Now, substitute this expression into the second equation 2y + 4x = 2: 2(4x + 7) + 4x = 2, which simplifies to 8x + 14 + 4x = 2. After that, we gather like terms: 12x = 2 - 14, yielding 12x = -12, hence x = -1. Plugging x into the equation y - 4(-1) = 7 also reveals: y + 4 = 7, which gives y = 3. Thus, the solution arrives at (-1, 3).

Answer:

At least 315

Step-by-step explanation:

A journalist intends to find the average annual salary of CEOs within the S&P 1,500. Due to time constraints, a sample is used.

Standard deviation of the sample (s) = 449300

Sample size = n

Permissible margin of error = 50000

Z critical value = 1.96

Thus, 1.96 times the standard error equals 50000.

Standard error equals 25510.20

Standard deviation divided by the square root of n = 25510.20

By simplifying, we can derive:

Thus, the minimum sample size required is 315.

The telescope’s cost is $91

4.55 divided by 5% (0.05) equals 91.

Answer:

box 1: monomial

box 2: binomial

Step-by-step explanation:

rationale: The volume of Box 1 is represented by a monomial multiplied by another monomial, resulting in a monomial.

Conversely, the volume of Box 2 is represented by a monomial multiplied by a binomial, producing a binomial.