Answer:
Step-by-step explanation:
Hello!
The variable of interest is
X: the amount a 10-11-year-old spends on a trip to the mall.
Assuming that the variable has a normal distribution, you have to construct a 98% CI for the average of the amount spent by the 10-11 year-olds on one trip to the mall.
For this you have to use a Student-t for one sample:
X[bar] ± *
n= 6
$18.31, $25.09, $26.96, $26.54, $21.84, $21.46
∑X= 140.20
∑X²= 3333.49
X[bar]= ∑X/n= 140.20/6= 23.37
S²= 1/(n-1)*[∑X²-(∑X)²/n]= 1/5[3333.49-(140.2)²/6]= 11.50
S= 3.39
X[bar] ± *
[23.37 ± 3.365 * ]
[18.66;29.98]
With a confidence level of 98%, you'd expect that the interval $[18.66;29.98] will include the population mean of the money spent by 10-11 year-olds in one trip to the mall.
I hope you have a SUPER day!
Triangle BRM = Triangle KYZ
CPCTC ( corresponding parts of congruent triangles are congruent)
if two triangles are congruent then all of their angles and sides are congruent
Make sense?
Answer:
B. 0 ≤ x ≤ 6
Step-by-step explanation:
The horizontal grid lines are 10 °C apart, so 45 °C corresponds to a vertical position halfway between the 4th grid line and the one marked 50.
The graph intersects that position at the 2nd vertical grid line. The vertical grid lines are 3 minutes apart, so the 2nd grid line represents 6 minutes.
If Peter conducted the experiment from its start until the temperature reached 45 °C, he conducted it over a period of 0 to 6 minutes, inclusive:
0 ≤ x ≤ 6
Answer:
There are 276 Children and 295 adults.
Step-by-step explanation:
Suppose x be the children and y be the adults as total people are 571 that have used the pool so we can write an equation as
x+y=571 (Equation 1)
and as per child $1.25 is the cost and $2.25 for every adult and collectively admissions totaled as $1008.75 so we can write the equation as
1.25x+2.25y=1008.75 (Equation 2)
Extracting the value of y from equation 1
y=571-x (Equation 3)
Putting the value of y from equation 3 into equation 2
1.25x+2.25(571-x)=1008.75
1.25x+1284.75-2.25x=1008.75
1.25x-2.25x=1008.75-1284.75
-x=-276
Cancellation of negative signs on both sides
x=276
Putting the value of x in equation 3 to get the value of y
y=571-276
y=295
[x,y]=[276,295]