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Elden [556K]
2 years ago
12

What is the value of the expression when y = 2?

Mathematics
1 answer:
mariarad [96]2 years ago
5 0

Answer:

6

Step-by-step explanation:

I use calculator to solve this so no steps

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Find all solutions in the interval [0,2π) of the equation.
Sauron [17]

Step-by-step explanation:

2sin(x)cos(x) - sin(x) + 2cos(x)-1= 0

<=> sinx( 2cosx -1) + ( 2cosx -1) =0

<=> (sinx +1) + ( 2cosx-1)=0

<=> sinx=-1 or cosx= 1/2

+) sinx=1 => x= pi/2 + k×2pi

+)cosx=1/2 => x= pi/3+ k×2pi or x=-pi/3 + k×2pi

x€ [0,2pi] => x= pi/2, pi/3.

3 0
3 years ago
Simulate the rolling of two dice 10,000 times. (b) Identify which rolls of the dice are in the event A, the dice add up to a per
dexar [7]

Answer:

Answer explained below

Step-by-step explanation:

(a)

Simulate the rolling of two dice 10,000 times D1 and D2 are the 10,000 results of roll of dice 1 and dice 2.

D1 = sample(c(1:6), 10000, replace = TRUE)

D2 = sample(c(1:6), 10000, replace = TRUE)

Sum = D1 + D2

(b)

The event A, the dice add up to a perfect square (4 or 9).

A = Sum[Sum == 4 | Sum ==9]

Proportion of A, P(A) = 0.189

length(A) / length(Sum)

(c)

The event B, the dice add up to an even number.

B = Sum[Sum %% 2 == 0]

Proportion of B, P(B) = 0.5049

length(B) / length(Sum)

(d)

The  rolls are in A ∩ B (common to both A and B)

> intersect(A,B)

[1] 4

The proportion that are in A ∩ B is 0.0792

length(Sum[Sum == 4]) / length(Sum)

P(A) * P(B) = 0.189 * 0.5049 = 0.0954

The proportion in A multiplied by the proportion that are in B is not equal to P(A ∩ B)

(e)

Of the rolls in which B occurs, the proportion of those rolls are also in A is 0.4190476

length(Sum[Sum == 4]) / length(A)

This proportion is greater than the P(A) calculated in part (b).

4 0
3 years ago
A.) 0.3<br> B.)0.4<br> C.)0.5<br> D.)0.6
love history [14]

Answer:

A) 0.3

Step-by-step explanation:

You need to add all of them together first,

126 + 201 + 107 + 120 + 46 = 600

Out of 600, 201 is e, so 201/600 = 0.335, which is also just 0.3

7 0
3 years ago
Simplify:
svetoff [14.1K]

Answer:

Uh I got 7x^2 + 16x +64. Idk if there are more options that aren't in the pic or if I did it wrong

6 0
3 years ago
Read 2 more answers
Pls answer this pls answer this pls answer this pls answer this pls answer this pls answer this
stepan [7]
Did you not learn to factor?
6 0
3 years ago
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