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Svetradugi [14.3K]

3 years ago

6

Consider the given statement. Determine whether its is equivalent to the given statement, a negation, or neither. Attached is th

e photo reference.

1 answer:

Yanka [14]3 years ago

3 0

Answer:

1. Negation

2. Equivalent

3. Neither

4. Neither

Step-by-step explanation:

p ^ ~q

~q → p~

~q ∨ p

~p ∨q

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3 1183 long division

Triss [41]

= 394 R 1

= 394 1/3

1183 divided by 3 equals
394 with a remainder of 1

3 0

3 years ago

What is the value of this expression 1/3-5

gregori [183]

The answer is 243 for the question above

5 0

3 years ago

Read 2 more answers

Answers should be exact decimals (please do not leave as fractions or unfinished calculations).

aksik [14]

Answer:

P(rolling the die results in a 3 or a 6)=0.3333

P(rolling the die results in not getting a 6)=0.8333

P(rolling the die results in the number being either greater than 2 or less than 5)=0.3333

P(rolling the die results in an even number or a 5)=0.6667

P( rolling the die twice results in a 6 followed by a 4)=0.0278

P(rolling the die three times results in all 6's)=0.0046

Step-by-step explanation:

a)

As the all outcomes are equally likely, so each number has equal probability of occurring.

For six sided die the sample space is {1,2,3,4,5,6} and each outcome has equal probability of 1/6.

1)

P(rolling the die results in a 3 or a 6)

P(rolling the die results in a 3 or a 6)=P(3)+P(6)=1/6+1/6=2/6=1/3

P(rolling the die results in a 3 or a 6)=0.3333

P(rolling the die results in not getting a 6)

P(rolling the die results in not getting a 6)=1-P(6)=1-1/6=5/6

P(rolling the die results in not getting a 6)=0.8333

P(rolling the die results in the number being either greater than 2 or less than 5)

number either greater than 2 or less than 5={3,4}

P(rolling the die results in the number being either greater than 2 or less than 5)=2/6=1/3

P(rolling the die results in the number being either greater than 2 or less than 5)=0.3333

P(rolling the die results in an even number or a 5)

number is an even number or a 5={2,4,5,6}

P(rolling the die results in an even number or a 5)=4/6=2/3

P(rolling the die results in an even number or a 5)=0.6667

P( rolling the die twice results in a 6 followed by a 4)

For six sided die rolled twice the sample space is

S={(1,1),(1,2),(1,3),(1,4),(1,5),(1,6),(2,1),(2,2),(2,3),(2,4),(2,5),(2,6),(3,1),(3,2),(3,3),(3,4),(3,5),(3,6),(4,1),(4,2),(4,3),(4,4),(4,5),(4,6),(5,1),(5,2),(5,3),(5,4),(5,5),(5,6),(6,1),(6,2),(6,3),(6,4),(6,5),(6,6)}.

n(S)=6²=36.

rolling the die twice results in a 6 followed by a 4={(6,4)}

P( rolling the die twice results in a 6 followed by a 4)=1/36.

P( rolling the die twice results in a 6 followed by a 4)=0.0278

P(rolling the die three times results in all 6's)

When three die are rolled the number of outcomes=n(S)=6³=216.

rolling the die three times results in all 6's={(6,6,6)}

P(rolling the die three times results in all 6's)=1/216

P(rolling the die three times results in all 6's)=0.0046

Note: All answers are rounded to four decimal places.

8 0

3 years ago

Suppose these show number of hours each student in a class slept last night:

Olin [163]

⊂ Hey, rosedalphinis ⊃

Answer:

Mean: 6.9 hours; Median 7 hours

Step-by-step explanation:

<u><em>⇒ Given:</em></u>

<em>-------------------------------------------------------------------------------------------------------------</em>

<em>Suppose these show number of hours each student in a class slept last night:</em>

<em>8, 4, 8, 7, 7, 9, 6, 5, 10, 7, 6, 6</em>

<em>What is the mean of these numbers (rounded to the nearest tenth)?</em>

<em>What is the median?</em>

<em>Mean: 6.9 hours; Median 7 hours</em>

<em>Mean: 6.9 hours; Median 7.5 hours</em>

<em>Mean: 7 hours; Median 6.9 hours</em>

<em>Mean: 7.2 hours; Median 7 hours</em>

<em>-------------------------------------------------------------------------------------------------------------</em>

<u><em>⇒ Solution~:</em></u>

<em>-------------------------------------------------------------------------------------------------------------</em>

<em>Let's first define "Median".</em>

<em>You may be wondering "What is median/What is mean?".</em>

<em>When it asking for "Mean" It asking for the average.</em>

<em>When it asking for "Median" It asking for the middle number.</em>

<em>The formula for "Mean" is : M = sum of the terms/number of terms</em>

<em />

<em>According to the given we have;</em>

<em>8, 4, 8, 7, 7, 9, 6, 5, 10, 7, 6, 6</em>

<em />

<em>Let's first find the "Mean":</em>

<em>First, add all the number together.</em>

<em>8 + 4 + 8 + 7 + 7 + 9 + 6 + 5 + 10 + 7 + 6 + 6</em>

<em>12 + 8 + 7 + 7 + 9 + 6 + 5 + 10 + 7 + 6 + 6</em>

<em>20 + 7 + 7 + 9 + 6 + 5 + 10 + 7 + 6 + 6</em>

<em>27 + 7 + 9 + 6 + 5 + 10 + 7 + 6 + 6</em>

<em>34 + 9 + 6 + 5 + 10 + 7 + 6 + 6</em>

<em>43+ 6 + 5 + 10 + 7 + 6 + 6</em>

<em>49+ 5 + 10 + 7 + 6 + 6</em>

<em>54+ 10 + 7 + 6 + 6</em>

<em>64 + 7 + 6 + 6</em>

<em>71+ 6 + 6</em>

<em>77 + 6</em>

<em>= 83</em>

<em>Now let's count how many numbers of hours each student in a class slept.</em>

<em>8, 4, 8, 7, 7, 9, 6, 5, 10, 7, 6, 6 = 12</em>

<em>Now 83 divide by 12:</em>

<em>83/12 = 6.9166666666667 {Round}</em>

<em>6.9166666666667 = 6.9</em>

<em>Therefore, Mean = 6.9</em>

<em>-------------------------------------------------------------------------------------------------------------</em>

<em>Next, Let's find the "Median":</em>

<em>To find the Median, place the numbers in value order and find the middle.</em>

<em>⇒ 8, 4, 8, 7, 7, 9, 6, 5, 10, 7, 6, 6</em>

<em>⇒ 4, 5, 6, 6, 6, 7, 7, 7, 8, 8, 9, 10</em>

<em>Now we have them in order:</em>

<em>4, 5, 6, 6, 6, 7, 7, 7, 8, 8, 9, 10</em>

<em>Then, we find the middle number:</em>

<u><em>4,</em></u><em> 5, 6, 6, 6, 7, 7, 7, 8, 8, 9, </em><u><em>10</em></u>

<u><em>4, 5,</em></u><em> 6, 6, 6, 7, 7, 7, 8, 8, </em><u><em>9, 10</em></u>

<u><em>4, 5, 6,</em></u><em> 6, 6, 7, 7, 7, 8, </em><u><em>8, 9, 10</em></u>

<u><em>4, 5, 6, 6, </em></u><em>6, 7, 7, 7, </em><u><em>8, 8, 9, 10</em></u>

<u><em>4, 5, 6, 6, 6, </em></u><em>7, 7,</em><u><em> 7, 8, 8, 9, 10</em></u>

<em />

<em>Now You see that there two's 7 left.</em>

<em> If there is an even number of numbers add the two middles and divide by 2</em>

<em>Thus,</em>

<em>7 + 7 = 14</em>

<em>14/2 = 7</em>

<em>Therefore, Median = 7.</em>

<em>-------------------------------------------------------------------------------------------------------------</em>

<em>According to the solving above we can conclude that:</em>

<em>Mean: 6.9 hours; Median 7 hours</em>

<em>-------------------------------------------------------------------------------------------------------------</em>

<em />

<u><em>xcookiex12</em></u>

<em>9/4/2022</em>

<em>#Learnwithxcookiex12</em>

4 0

1 year ago

Read 2 more answers

Which of the following is true given that 2.1 < 2.8?

sattari [20]

Answer:

$\large \boxed{\mathrm{2.1 \ is \ to \ the \ left \ of \ 2.8 \ on \ a \ horizontal \ number \ line}}$

Step-by-step explanation:

$2.1$

$\sf 2.1 \ is \ lesser \ than \ 2.8.$

$\sf A \ number \ that \ is \ lesser \ than \ another \ number \ is \ to \ the \ left \\ \ of \ that \ number \ on \ a \ horizontal \ number \ line.$

5 0

3 years ago

Read 2 more answers