Explain the steps for dividing decimals. Write three or four sentences.

Answer:

a) 1.92

b) 3.25

c) 1.5

d) -5.23

Step-by-step explanation:

We are provided with the following in the question:

4, 7, -1, 1, 0, 5, -2, 2, -1, 6, 5, -3

a) mean change score

b) standard deviation for the population

where represents data points, is the average, and n denotes the count of observations.

Sum of squared deviations = 126.92

c) median change score

Arranged data: -3, -2, -1, -1, 0, 1, 2, 4, 5, 5, 6, 7

Median equal to

d) change score that is 2.2 standard deviations lower than the mean.

Answer:

Step-by-step explanation:

Given:

In ΔLMN and ΔXYZ,

To find: criteria that needs to be shown to prove ΔLMN ΔXYZ using SAS similarity theorem

Solution:

According to SAS Similarity Theorem, if two sides in one triangle are proportional to two sides in another triangle and the included angle between the sides are congruent, then the two triangles are said to be similar.

In ΔLMN and ΔXYZ,

So, ΔLMN ΔXYZ by SAS similarity theorem if

-1, 1, 5
-1, -1, -5
1, 1, -5

Let P(3) denote the probability of landing on 3 in a spin, and P(5) denote the probability of landing on 5. In probability terms, "AND" signifies multiplication while "OR" indicates addition. We aim to find the probability that the first number is "3" AND the second number is "5." Thus, we identify the individual probabilities and MULTIPLY them. The spinner has numbers ranging from 1 to 8, each appearing once. Therefore, since there is one instance of "3," we have P(3) = 1/8 and similarly P(5) = 1/8. Consequently, the overall probability of P(3 and 5) is 1/8 multiplied by 1/8, which equals 1/64.

La proporción de ambas velas es 20/60, que simplificada es 1/3, por lo que debes tomar la cantidad de onzas que tiene la vela y dividirla por 1/3. Dicho de otra manera: 9 / 1/3 => 9 * 3 = 18