The graph below displays how many pieces of candy timmy and his five friends each received last halloween. within how many standard deviations of the mean do the values fall? a. 1 b. 4 c. 2 d. 3

(C)

Step-by-step explanation:

First, we calculate the mean of the candies.

16,19,25,32,38,40

Mean = Sum of the candies/number of persons

         = 170/6

         =28.34

Variance = ∑(value - mean)^2

               = (16-28.34)^2 + (19-28.34)^2+(25-28.34)^2+(32-28.34)^2+(38-28.34)^2+(40-28.34)^2/(n-1)

              =    98.66

Standard deviation = √variance = √98.66 = 9.93

Now to calculate the standard deviation of the mean, we will calculate the difference between maximum value and mean. Also difference between between minimum value and mean

Maximum value-mean = 40-28.34 = 11.66

                                     =11.66/9.93 = 1.17  towards the right of the mean

Minimum value-mean = -12.33

                                    -12.33/9.93 = 1.24 towards the left of the mean

Hence the standard deviation of the mean in which the values fall is approximately 2.

C.) 2

0.16 or 16%

step-by-step explanation:

lets take a coin for example.

if you toss it twice, it has a 1/4 chance of landing on heads both times because 1/2 * 1/2 is 1/4.

with the cards, the chance of picking dog is 0.4. having two people pick one is like picking a card twice in a row. so 0.4 * 0.4 is 0.16, or 16%

the largest number of the four options is 1.8 x 10-2

you have it in scientific notation.

1.80 x 10-6   = 0.00000180

1.80 x 10-4   = 0.000180 (bigger, or "less small", than the former one)

so

1.8 x 10-2       = 0.0180. as you see. the "less small", or the biggest one of them all.

as you have negative exponent, it means you are dividing 1.8 by 100 (i.e. moving the dot towards left, two times).

if you had positive exponent for the scientific notation, power of tenths, you would be multiplying times 100 (moving the dot towards right) as below:

1.8 x (10)2 = 180

so. if you have negative exponent in scientific notation, move the dot toward left. if it is positive, toward right as many times the exponent tells you.