For Halloween, Gina received candies from her neighbor, aunt, and uncle. Her aunt gave four times as many candies as her uncle. Her uncle gave 10 less candies than her neighbor. Gina's aunt gave her 44 candies. How many candies did Gina's neighbor give her?

21 candies.

Step-by-step explanation:

44÷4=Uncle

Uncle+10=Neighbor

Aunt: 44 candies

Uncle: 11 candies

Neighbor: 21 candies

Her neighbor gave here 21 candies.

a = 0.0801

b = 0.1910

Step-by-step explanation:

a) probability of the event that numbers start with the digit 1 =P (1.5 < X <2)

=(2 - 1.5) / (4.8 - 1.5)=0.1515

mean =np

= 500 * 0.1515

= 75.76

std deviation =√(np (1 - p)) = 8.02)

probability of the event that less than 65 of the numbers start with the digit 1 = P(X < 65)

= P(Z < (64.5 - 75.76) / 8.02)

=P(Z < -1.4041)

= 0.0801

b) probability of the event of the numbers start with the digit 3 =P(3<X<4) =(4 - 3) / (4.8 - 1.5)

=0.3030

Here mean =np

= 500 * 0.3030

= 151.52

std deviation =√(np(1-p)) =10.28

probability of the event that more than 160 of the numbers start with the digit 3 = P(X > 160)

= 1 - P (Z < (160.5 - 151.52) / 10.28)

= 1 - P (Z < 0.8743)

= 1 - 0.8090

= 0.1910