5 is the answer because it is a full number
Answer:
The probability that a radio selected at random will last from 600 to 700 hours is 0.3413
Step-by-step explanation:
The playing life of a Sunshine radio is normally distributed
Mean =
Standard deviation =
We are supposed to find the probability that a radio selected at random will last from 600 to 700 hours i.e.P(600<x<700)
Formula:
At x = 600

Z=0

At x = 700

Z=1


Hence the probability that a radio selected at random will last from 600 to 700 hours is 0.3413
Answer:
Number of small candles = 12
Number of large candles = 16
Step-by-step explanation:
Total candles = 28
x + y = 28 ---------------(I)
Cost of 'x' small candles = 4 *x = 4x
Cost of 'y' large candles = 6 *y = 6y
Total amount = $144
4x + 6y = 144 -------------(II)
Multiply equation (I) by (-4) and then add the equation. So, x will be eliminated and we can find the value of 'y'
(I) * (-4) -4x - 4y = -112
(II) <u> 4x + 6y = 144</u> {Now, add}
2y = 32
y = 32/2
y = 16
Plug in y = 16 in equation (I)
x + 16 = 28
x = 28 - 16
x = 12
Answer:
B: (2, -1)
Step-by-step explanation:
1) First isolate the y in both equations
2) Set the equations equal to each other
3) Solve for x (you should get 2 and 5)
4) Insert the x values back in to get your y values
5) You should have gotten (2, -1) and (5, 2)
These are your two answers, but the question is only asking for one solution and (5,2) isn't one of the options, so it has to be (2,-1).
9514 1404 393
Answer:
y = -3/8x -23/8
Step-by-step explanation:
The slope is found using the slope formula:
m = (y2 -y1)/(x2 -x1)
m = (-4 -(-1))/(3 -(-5)) = -3/8
Then the point-slope equation of the line is ...
y -k = m(x -h) . . . . line with slope m through point (h, k)
For m = -3/8 and (h, k) = (-5, -1), the line is ...
y +1 = -3/8(x +5)
In slope-intercept form, this is ...
y = -3/8x -23/8