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olasank [31]
4 years ago
13

I need help please???

Mathematics
1 answer:
Mademuasel [1]4 years ago
5 0

X > 6

→ 6X < 66

→ 6 x 7 < 66

→ 42 < 66 (Correct)

X > 11

→ 6X < 66

→ 6 x 12 < 66

→ 72 < 66 (Incorrect)

X = 11

→ 6X < 66

→ 6 x 11 < 66

→ 66 < 66 (Incorrect)

ANSWER:

X > 6

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Please help, math question.
Veseljchak [2.6K]
Part a) 
Identify the variable and categories


By reading the above statement, we can find that there are two variables and each variable has 2 categories. The variables and their categories are:
1) Class Number
This variable is further divided into 2 categories i.e. Class 9th and Class 10th.

2) Participation in Extracurricular activities
This variable is further divided into 2 categories based on if students participated or not.

Part b)
Set up and fill 2 way table.

Since, we have 2 variables and each variable has 2 categories the number of data cells will be 2 x 2 = 4 cells

There are total 100 students. 40 students are in class 10th. This means 60 students are in class 9th.Out of 40 students in class 10th, 18 students participate in at least one extracurricular activity. So remaining 22 students do not participate. 32 students from class 9th participate in extracurricular activities, this means the remaining 28 students do not participate. Based on this data, we can fill up the table as shown below
 

6 0
3 years ago
The probabilities that stock A will rise in price is 0.59 and that stock B will rise in price is 0.41. Further, if stock B rises
Reil [10]

Answer:

1) 0.75

2) No, the 2 events are not mutually exclusive because P(A&B) ≠ 0

3)The 2 events are not independent because P(A | B) ≠ P(A).

Step-by-step explanation:

1) P(A) = 0.59 and P(B) = 0.41

Thus; to find the probability that at least one of the stocks will rise in price;

P(A or B) = P(A) + P(B) - P(A&B)

Now, we know that if B rises in price, the probability that A will also rise is 0.61 i.e P(A|B) = 0.61

Hence;P(A & B) = P(A|B) x P(B) =0.61 x 0. 41 = 0.25

So P(A or B) = 0.59 + 0.41 - 0.25 = 0.75

B) we want to find out if events A and B are mutually exclusive ;

P(A|B) = P(A&B)/P(B), For the events to be mutually exclusive, P(A&B) has to be zero. Since P(A&B) ≠ 0,the 2 events are not mutually exclusive.

C) Since P(A|B) = 0.61 and P(A) is 0.59. Thus, P(A | B) ≠ P(A).

So, therefore the 2 events are not independent.

8 0
3 years ago
An enclosure at the zoo contains 16 meerkats.
Elena L [17]
Asleep. 6/16 Simplified would be 3/8

Awake. 10/16 Simplified would be 5/8

How I did it was by using the amount that was asleep and awake as numerators and the TOTAL is 16 so that is the denominator.

Hope this helps, let me know if you have any questions, have a good day!
3 0
4 years ago
Derive a formula to find the perimeter of an isosceles triangle in which one of the equal
Scorpion4ik [409]

Given :

Length of one of the equal sides of an isosceles triangle = 3x+2

Then, length of the other equal side will also be = 3x+2

Length of the unequal side of this isosceles triangle = 14

Formula for finding the perimeter of an isosceles triangle :

= \tt  side + side + side

A formula for finding the perimeter of this isosceles triangle :

= \tt3x + 2 + 3x + 2 + 14

Bringing all like terms together we get :

=\tt 3x + 3x + 2 + 2 + 14

= \tt6x + 4 + 14

\color{plum}\tt  = 6x + 18

Thus, the formula = 6x+18

Therefore, a formula to find the perimeter of this isosceles triangle = <u>6x+18</u>

7 0
3 years ago
4x -(9 - 3x) = 8x -1​
maks197457 [2]
4x -(9-3x) = 8x-1

4x -9 + 3x = 8x-1

7x-9 = 8x-1

-9 + 1 = 8x-7x

-8 = x

x = -8
6 0
3 years ago
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