Least to greatest ordering integers

Mathematics

1 answer:

andriy [413]3 years ago

5 0

Answer:

5, 19, 24, 46, 77, 98

Step-by-step explanation:

Just write the numbers in order (I am assuming from least to greatest). You can use a number line if necessary.

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A red die is tossed and then a green dieis tossed. What is the probability thatthe red die shows a six or the green dieshows a s

mr_godi [17]

Let's call the event of the red die to show a six as event A, and the event of the green die to show a six as event B.

The theoretical probability is defined as the ratio of the number of favourable outcomes to the number of possible outcomes. On both dices, we have 6 possible outcomes(the numbers from 1 to 6), with one favourable outcome(the number 6), therefore, the probabilities of those events are:

$P(A)=P(B)=\frac{1}{6}$

Each roll is independent from each other, then, the probability of both events happening simultaneously is given by their product:

$P(A\:and\:B)=P(A)P(B)$

Using the additive rule of probability, we have the following equation for our problem:

$\begin{gathered} P(A\:or\:B)=P(A)+P(B)-P(A\:and\:B) \\ =P(A)+P(B)-P(A)P(B) \\ =\frac{1}{6}+\frac{1}{6}-\frac{1}{6^2} \\ =\frac{2}{6}-\frac{1}{36} \\ =\frac{12}{36}-\frac{1}{36} \\ =\frac{12-1}{36} \\ =\frac{11}{36} \end{gathered}$

the probability that the red die shows a six or the green die shows a six is 11/36.

7 0

1 year ago

Are rectangles ABCD and WXYZ congruent? Why or why not? Yes, all right angles were preserved. Yes, both rectangles have an area

Setler79 [48]

Answer:

D. No, there is not a rigid transformation or a combination of rigid transformations that will map ABCD to WXYZ.

Step-by-step explanation:

Two figures are congruent if their vertices can be mapped into one another by appropriate rigid transformation or combination of rigid transformations. Examples of the transformation are; reflection, dilation, rotation and translation.

Comparing the two figures, it would be observed that they are not congruent. Since there is not a rigid transformation or a combination of rigid transformations that will map ABCD to WXYZ.

3 0

3 years ago

Read 2 more answers

Rewrite 5-6 using the additive inverse and display the help this are the answers

NNADVOKAT [17]

Answer:

Additive inverse of (5-6) is (6-5),

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So:

(5-6)+(6-5)=0

5-6+6-5=0

5-6=-6+5