A sample of 14 joint specimens of a particular type gave a sample mean proportional limit stress of 8.48 MPa and a sample standa

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)

Since this parabola intersects the center, its formula is:

y = ax². Given that it opens downward, the coefficient a must be negative.

Thus, the equation can be expressed as:

y = - ax², with the axis of symmetry located at x = 0.

The height measures 84 ft when the parabola's opening is 42 ft wide.
This indicates that for the height y, the corresponding x-values are +21 and -21 (due to symmetry).
To find a, let's substitute y and x with their respective values:

y = - ax²

84 = - a(21)²

84 = - a(441), leading to a = - 84/441 ↔ a = - 4/21.

Therefore, the final equation is: y = -4/21 x².

Answer:

Katherine will create at least 8 playlists. Each of these will feature 4 pop songs and 9 rock songs.

Detailed Explanation:

Katherine has a library of 32 pop songs and 72 rock songs on her mp3 player. She intends to distribute these into playlists, ensuring an equal count of pop and rock songs in each.

To determine the minimum number of playlists, we find the GCF of the two numbers provided.

For 32, we can express it as 2^5, and 72 can be described as 2^3*3^2

Thus, the GCF for the two figures is 2^3, equaling 8.

Consequently, she will generate 8 playlists, with each containing 4 pop songs and 9 rock songs.

Answer:

refer to the method

Step-by-step explanation:

Keep in mind that

To change feet to inches, multiply by 12

To convert minutes into seconds, multiply by 60

we have

Answer:

$786

Step-by-step explanation:

50, 60, 72

calculate the variance between the earnings from the first and second hours to obtain 10.

determine the difference between the second and third hours, resulting in 12.

it becomes clear that these differences are consistently increasing in even numbers starting from 10, such as 10, 12, 14, 16, 18, 20, 22, 24, 26, 28....etc

to compute the total income over the 24 hours, continue adding the next even number until the 24th hour

the total will be $786.