Answer:
x = 17
Step-by-step explanation:
3(x-12)=15
->
x-12+12=5+12
Answer:
90% confidence interval for the population mean is between a lower limit of $92.18 and an upper limit of $107.82.
Step-by-step explanation:
Confidence interval for a population mean is given as mean +/- margin of error (E)
mean = $100
sd = $25.20
n = 30
degree of freedom = n-1 = 30-1 = 29
confidence level (C) = 90% = 0.9
significance level = 1 - C = 1 - 0.9 = 0.1 = 10%
critical value (t) corresponding to 29 degrees of freedom and 10% significance level is 1.699
E = t×sd/√n = 1.699×25.20/√30 = $7.82
Lower limit of population mean = mean - E = 100 - 7.82 = $92.18
Upper limit of population mean = mean + E = 100 + 7.82 = $107.82
90% confidence interval is ($92.18, $107.82)
Missing part of question:
Draw a tape diagram to show how much cake each of the five children received.
Answer:
See attachment
Step-by-step explanation:
Given


Required
Tape diagram to represent the scenario
Because one child is not hungry, the number of children to share the cake becomes 6.
So, first we calculate the share of each child.



See attachment for tape diagram
The tape diagram implies that:

or

or

We can’t graph for you here, sorry
Answer:
D) 6
Step-by-step explanation:
set Q has 16 values which are all even values from 4 to 36
set Z has 11 values that are multiples of 3 from 4 to 36 (6,9,12,15,etc.) however, we have to eliminate the odd ones, leaving the following six:
6, 12, 18, 24, 30, 36