"Bacteria in a culture can live for an average of two hours with a standard deviation of 15 minutes. How long can we expect at least 75% of the bacteria to live?"

1. What is the mean? x=___ hours = ___ minutes (Convert the number of hours to minutes.)

2. What is the standard deviation? s= ___ minutes

3. According to Chebyshev's Theorem, how many standard deviations contain at least 75% of the data? k= ___

4. We can expect the at least 75% of the bacteria to live between ___

and ___ minutes.

75

step-by-step explanation:

you do x-29=46 (the number of cantaloupes sold)

in order to find x, you have to find what minus 29 equals 46, meaning you'd have to add 29 to 46.

29+46=75

if you replace x with 75, the equation looks like:

75-29=46

x=75

x² + 3x + 7 = 0       [ax² + bx + c]

a = 1

b = 3

c = 7

quadratic formula:

    (+/- is this ±)

plug in the numbers into the variables

your answer is a

the number of possible outcomes that do not show a 1 on the first spinner and show the number 4 on the second spinner is 2.

spinner 1 spinner 2

1                     1

1                     2

1                     3

1                     4

2                   1

2                   2

2                   3

2                   4   = not 1, and 4

3                   1

3                   2

3                   3

3                   4 = not 1, and 4

only 2 outcomes have passed the given condition.

step-by-step explanation: