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rewona [7]
2 years ago
6

a six sided number cube has faces with the numbers 1 through 6 marked on them. what is the probability that a number less than 2

will occur on one toss of the number cube
Mathematics
2 answers:
Yuri [45]2 years ago
6 0
Less than two would be one.  Since there is only one of that, it would be 1/6th or 0.6666
iris [78.8K]2 years ago
5 0

Solution:

we are given that

A six sided number cube has faces with the numbers 1 through 6 marked on them.

we have been asked to find the probability that a number less than 2 will occur on one toss of the number cube.

Since a number less than 2 is only one and that is "1" and total number of possible outcome is 6.

and as we know that probability is given using the formula

P(E)= \frac{n(E)}{n(S)}\\ \\

Substitute the values we get

P(E)= \frac{1}{6}

Hence the required probability is 1/6.

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The scatter plot shows the number of text messages sent per day versus age (in years) of the smartphone user.
Ghella [55]

Answer: find the answers in the explanation.

Step-by-step explanation:

Given that the predicted Number of Text Messages Sent = 60 – 0.8 • Age

Where the slope = - 0.8

The intercept = 60

1) the slope of the least regression line is -0.8

2.) The unit of the slope of the line is text per year

3.) Therefore, the slope of the line tells you that for every year older the smart phone user is, you can expect a typical average in text messages sent of - 0.8

4.) The y - intercept of the least square regression line is 60

5.) The unit of the y - intercept of the line are text sent

6.) The y - intercept of the line tells you the starting point. The first number of text messages sent.

4 0
2 years ago
X=a-2by(2) make y the subject
sladkih [1.3K]

Answer:

y = √{(a - x)/2b}

Step-by-step explanation:

x=a-2by²

2by² = a - x

divide through by 2b

y² = (a - x)/2b

y = √{(a - x)/2b}

3 0
2 years ago
Walter is making a 300-mile trip from Wichita Falls, Texas to Austin, Texas. After the first 120 miles, he continues driving at
kkurt [141]

Answer:

about 135 more miles to go

Step-by-step explanation:

4 0
2 years ago
Read 2 more answers
Last Sunday, the average temperature was 8\%8%8, percent higher than the average temperature two Sundays ago. The average temper
SVETLANKA909090 [29]

Answer: The two answers are 1.08<em>T</em> and (1 + \frac{8}{100} )<em>T</em>.

Step-by-step explanation:

Try multiplying 1.08 times any random number. If you use 5,  1.08 times 5 gives you 5.4.  This makes sense. Solve the other other expression as well and substitute <em>T</em><em> </em> with the SAME number that you used before (5). Hope that helps!

5 0
2 years ago
A group of college DJs surveyed students to find out what music to plan for their upcoming parties. Thirty percent of the studen
Sindrei [870]

Answer:

A - The proportion of students that like trance music but not dubstep is 10%

B - The proportion of students that like either dubstep or trance is 40%

C - The proportion of students that like neither trance music nor dubstep is 60%

D - The proportion of students that didn’t select any of the music options available on the survey was 40%

E - The proportion of students that preferred either dubstep or trance is calculated by: P(D) + P(T) - P(D and T)

F - The conditional probability that a student likes dubstep, given that he or she likes trance music, is 60%

Step-by-step explanation:

P(D)=the students preferred dubstep=30%

P(T)=the students selected trance music=25%

P(H)=the students selected house music=20%

P(D and T)=the students liked both dubstep and trance=15%

<em><u>A - The proportion of students that like trance music but not dubstep is:</u></em>

P(T) - P(D and T)=25%-15%=10%

<u><em>B - The proportion of students that like either dubstep or trance is:</em></u>

P(D) + P(T) - P(D and T) =30%+25%-15% = 40%

<u><em>C - The proportion of students that like neither trance music nor dubstep is</em></u>

100% - (P(D) + P(T) - P(D and T) ) =60%

<u><em>D - The proportion of students that didn’t select any of the music options available on the survey was:</em></u>

100% - (P(H)+P(D) + P(T) - P(D and T) ) =40%

<u><em>F - The conditional probability that a student likes dubstep, given that he or she likes trance music, is:</em></u>

\frac{P(D and T)}{P(T)} =\frac{0.15}{0.25} =0.60

<u><em /></u>

6 0
2 years ago
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