The solution of the given equation is (3,6). The correct option is B.(3,6)
<h3>Given equations,</h3>
<h3>How to solve the equations?</h3>
putting the value of y from equation (1) in equation (2) , we get
substitute the value of x=3 in equation (1) we get,
Hence, the solution of given equation is (3,6).
So, the correct option is B.
For more details about the system of equations, follow the link:
brainly.com/question/12895249
Number of cards of John: J
Number of cards of Alan: A
<span>John and Alan have a collection of x baseball cards:
J+A=x (1)
</span>John has x/4 cards:
J=x/4
<span>What fraction of the cards does Alan have?
</span>
Replacing J by x/4 in the equation (1)
(1) J+A=x
x/4+A=x
Solving for A:
x/4+A-x/4=x-x/4
A=4x/4-x/4
A=(4x-x)/4
A=3x/4
Answer: Alan has 3/4 of the cards
Answer:
English and French:40 and English:10
Step-by-step explanation:
English and French:4÷5×50
=40
English:1÷10×50
=10
Answer:
Standard error = 0.4
Step-by-step explanation:
Step 1
We find the Standard Deviation
The formula = √(x - mean)/n - 1
n = 15
Mean = 1.93 hours
= √(0- 1.93)² + (0-1.93)² +(0- 1.93)²+( 0- 1.93)²+ (1- 1.93)² + (1- 1.93)² +(1 - 1.93)² +(2 - 1.93)² + (2 - 1.93)² + (2 - 1.93)² + (2 - 1.93)² + ( 2 - 1.93)² +(4 - 1.93)² +(4 - 1.93)² + (5 - 1.93)²/15 - 1
= √(3.737777776 + 3.737777776 + 3.737777776 + 0.871111111 +0.871111111 + 0.871111111 + 0.004444444445+ 0.004444444445 + 0.004444444445 + 0.004444444445 + 0.004444444445 + 1.137777778 + 4.271111112 + 4.271111112 + 9.404444446)/15 - 1
= √2.352380952
= 1.533747356
Step 2
We find the standard error
The formula = Standard Deviation/√n
Standard deviation = 1.533747356
n = 15
= 1.533747356/√15
= 1.533747356 /3.87298334621
= 0.39601186447
Approximately = 0.4
Therefore, the standard error is 0.4
The third choice is the correct one.
draw a line from the starting point on the hill to the finishing point, suppose the angel formed by this new line and the slope of the hill is x
sinx/150=sin27.4/200
sinx=(150*sin27.4)/200
x=sin-1[(150*sin27.4)/200]
the angle formed by the slope of the hill and the horizontal line is the sum of x and 27.4
