Answer:
x = -7
Step-by-step explanation:
See the photo attached.
Answer:
2.4 days
Step-by-step explanation:
Time working together,t ,is
1/t = 1/a+ 1/b where a and b is the times working alone
1/t = 1/4 + 1/6
Multiply each side by 12t to clear the fractions
12t( 1/t )= 12t(1/4 + 1/6)
12 = 3t+2t
12 = 5t
Divide by 5
12/5 = 5t/5
2 2/5 =t
2.4 days
Answer:
23
Step-by-step explanation:
25.73−2.19
=25.73−2.19
=25.73+−2.19
=23.54
Answer:
Hi There the correct answer is {x,y} = {-1,-10}
System of Linear Equations entered :
[1] 3x - y = 7
[2] 4x - 2y = 16
Graphic Representation of the Equations :
y + 3x = 7 -2y + 4x = 16
Solve by Substitution :
// Solve equation [1] for the variable y
[1] y = 3x - 7
// Plug this in for variable y in equation [2]
[2] 4x - 2•(3x-7) = 16
[2] -2x = 2
// Solve equation [2] for the variable x
[2] 2x = - 2
[2] x = - 1
// By now we know this much :
x = -1
y = 3x-7
// Use the x value to solve for y
y = 3(-1)-7 = -10
Solution :
{x,y} = {-1,-10}
Hope it helps!
Answer:
The probability of flipping a coin 10 times and it landing on heads exactly seven times is about 0.1172 or 11.72%.
Step-by-step explanation:
We can use basic binomial distribution, which is given by the formula:

Where <em>n</em> represent the number of trials, <em>x</em> represent the number of successes desired, <em>p</em> represent the chance of success, and <em>q</em> represent the chance of failure.
Since we are flipping a coin 10 times, we are conducting 10 trials. So, <em>n</em> = 10.
We want to probability that it lands on heads exactly 7 out of 10 times. So, the number of desired successes <em>x</em> is 7.
The probability of success <em>p</em> is 1/2.
And the probability of failure <em>q</em> is also 1/2.
Substituting:

The probability of flipping a coin 10 times and it landing on heads exactly seven times is about 0.1172 or 11.72%.