Write each repeating decimal using bar notation. 2.034034 0.9222 0.7777

Response:

Detailed explanation:

a) this situation has a two-tailed test

The critical value is found using the t distribution table.

α = 1 - 0.95 = 0.05

1 - α/2 = 1 - 0.05/2 = 1 - 0.025 = 0.975

Consulting 0.975 with df 10

The critical value obtained is 2.228

b) α = 1 - 0.95 = 0.05

1 - α/2 = 1 - 0.05/2 = 1 - 0.025 = 0.975

Consulting 0.975 with df 20

The critical value obtained is 2.086

c) α = 1 - 0.99 = 0.01

1 - α/2 = 1 - 0.01/2 = 1 - 0.005 = 0.995

Consulting 0.995 with df 20

The critical value obtained is 2.845

d) α = 1 - 0.99 = 0.01

1 - α/2 = 1 - 0.01/2 = 1 - 0.005 = 0.995

Consulting 0.995 with df 60

The critical value obtained is 2.660

e) 1 - α = 1 - 0.01 = 0.99

Consulting 0.99 with df 10

The critical value obtained is 2.764

f) 1 - α = 1 - 0.025 = 0.975

Consulting 0.975 with df 5

The critical value obtained is 2.571

3 distinct arrangements - 1 x 9 (or 9 x 1) and 3 x 3

Thus, the total number of arrangements = 2 x 2 = 4 = an even count

Initially, we identify pairs of different factors of 9.

The pairs of factors for 9 are:

(1, 9) and (3, 3)

For each of these pairs, Mr. Deets can create 2 arrangements.

This means the total arrangements Mr. Deets can construct = 2 x 2 = 4, confirming that the overall number is even.

$29,580. Breaking it down: 29000/4 equals 7250. So, 7250 plus 2% of 7250 calculates as follows: 7250 + (2/100) * 7250 gives us 7250 + 145, totaling $7395 with four payments resulting in $29,580.

Answer:

tan−1(StartFraction 6.9 Over 9.8 EndFraction)

Step-by-step explanation:

tan−1(StartFraction 6.9 Over 9.8 EndFraction)

The tangent is defined as opposite over adjacent, thus 9.8/6.9

The inverse tangent operates as 1 / tan and equals 1 / (9.8 / 6.9) = 6.9 / 9.8

Since there is no accompanying figure, we assume points L, M, and N lie on the same line, with point L between M and N.

The total length of segment MN equals the sum of segments LN and LM, expressed as:
             LN + LM = MN

Substituting the given lengths:
             MN = 54 + 31
             MN = 85

ANSWER: MN = 85