The best and most correct answer among the choices provided by the question is the first choice. Move segment mus be done to draw the rectangle. I hope my answer has come to your help. God bless and have a nice day ahead!
Answer:
750 grams of 60% alloy
Step-by-step explanation:
Define x = amount of 60% alloy and y = amount of 20% alloy
Equating the amounts of gold:
0.6x+0.2y = 1000(0.5)
Since there must be 1000 grams total:
x+y = 1000
Writing the 2 resulting equations together:
0.6x + 0.2y = 500
x + y = 1000
Multiply the first equation by 5:
3x + y = 2500
x + y = 1000
Subtracting the 2nd equation from the 1st:
2x = 1500
x = 750
Answer: 750 grams of 60% alloy
sin(x) = 2cos(x)
tan(x) = 2
tan⁻¹[tan(x)] = tan⁻¹(2)
x ≈ 63.4
sin(2x) = sin[2(63.4)]
sin(2x) = sin(126.8)
sin(2x) ≈ 0.801
Answer:
Step-by-step explanation:
Given
See attachment for proper table
Required
Complete the table
Experimental probability is calculated as:
We use the above formula when the frequency is known.
For result of roll 2, 4 and 6
The frequencies are 13, 29 and 6, respectively
So, we have:
When the frequency is to be calculated, we use:
For result of roll 3 and 5
The probabilities are 0.144 and 0.296, respectively
So, we have:
For roll of 1 where the frequency and the probability are not known, we use:
So:
Frequency(1) added to others must equal 125
This gives:
Collect like terms
The probability is then calculated as:
So, the complete table is:
Answer:
The range of the graph is:
-3 ≤ y ≤ 3
Hence, option (B) is correct.
Step-by-step explanation:
We know that the range of a function is the set of values of the dependent variable 'y' for which a function is defined.
From the given graph, it is clear that the graph goes down at y=-3 and then goes up to y=3 and then goes down again.
In fact, this indicates that the range of the graph lies between y=-3 to y=3
Therefore, the range of the graph is:
-3 ≤ y ≤ 3
Hence, option (B) is correct.
