Friend: 18; You: 18
Friend: 54; You: 18
Friend: 18; You: 54
Answer:
Friend: 18; You: 54
Step-by-step explanation:
You and your friend are rolling number cubes.
Each cube has 6 sides with the numbers 1 to 6.
Total Outcomes=36
{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}
If a sum of 7 is rolled, your friend gets 1 point.
Favorable outcomes for friend = {1,6};{2,5};{3,4};{4,3};{5,2};{6,1}=6
Total outcomes = 36
So, probability of getting a sum of 7 =
Since there are 108 rolls
So, expected score of friend =
If a 2, 3, or 4 is rolled, you get 1 point.
So, probability of getting 2 =
So, probability of getting 3 =
So, probability of getting 4 =
So, So, probability of getting 2,3 or 4 =
So, your expected score =
So, option D is correct.
Hence expected score of friend is 18 and yours expected score is 54
B. Commutative Property of Multiplication
C. Zero Property of Multiplication
D. Identity Property of Multiplication
The equation 27a•0=0 holds good the zero property of multiplication. Therefore, option C is the correct answer.
The given equation is 27a•0=0.
We need to find which of the given option is correct for the given equation.
The zero property of multiplication states that when we multiply a number by zero, the product is always zero. It should be noted that this zero can come before or after the number. In other words, the position of zero does not affect the property. This property applies to all types of numbers, whether they are integers, fractions, decimals, or evenalgebraic terms.
So, the equation 27a•0=0 which holds good the zero property of multiplication.
Therefore, option C is the correct answer.
To learn more about the zero property of multiplication visit:
brainly.com/question/13050443.
#SPJ2
B. Steve is 5∕6 slower than Paul
C. Steve is 1∕2 as fast as Paul
D. Steve is 1∕2 slower than Paul
a survey in which 400 people were asked to identify the TV channel on which they preferred to watch the evening news.
How many more people preferred WWCN with 41% than WANR with 22%?
A. 164
B. 76
C. 236
D. 68
Answer:
Q-1 The correct option is A) Steve is 5∕6 as fast as Paul
Q-2 The correct option is 76.
Step-by-step explanation:
Consider the provided information.
Q-1
Steve can complete the 100m dash in 10 seconds while Paul can run it in 12 seconds.
Since, the distance for both are same,
Hence, Steve's time is 5⁄6 of the time taken by Paul.
Therefore, the correct option is A) Steve is 5∕6 as fast as Paul
Q-2 a survey in which 400 people were asked to identify the TV channel on which they preferred to watch the evening news.
WWCN got 41% and WANR got 22%
For WWCN
41% of 400 is:
That means 164 people preferred WWCN.
For WANR
22% of 400 is:
That means 88 people preferred WANR.
We need to find how many more people preferred WWCN
For this subtract both the values: 164-88=76
Thus, 76 more people preferred WWCN
Hence, the correct option is 76.
Answer: x=4
Step-by-step explanation:
tangent lines from the same point to a circle are congruent in length, so we can say that
5x+8 = 8x-4
5x -5x +8 = 8x - 5x -4
8 = 3x - 4
8+4 = 3x -4 + 4
3x = 12
3x/3 = 12/3
x=4
Tangent Meaning in Trigonometry
In trigonometry, the tangent of an angle is the ratio of the length of the opposite side to the length of the adjacent side. In other words, it is the ratio of sine and cosine function of an acute angle such that the value of cosine function should not equal zero.
Learn more about Tangent at brainly.com/question/17040970
#SPJ2
Answer:
x=4
Step-by-step explanation:
tangent lines from the same point to a circle are congruent in length, so we can say that
5x+8 = 8x-4
5x -5x +8 = 8x - 5x -4
8 = 3x - 4
8+4 = 3x -4 + 4
3x = 12
3x/3 = 12/3
x=4