Answer:
x ≈ 11.09
Step-by-step explanation:
Using the rule of logarithms
x = n ⇒ x = 
Given
ln(x + 9) = 3 , that is
(x + 9) = 3 , then
x + 9 = e³ ( subtract 9 from both sides )
x = e³ - 9 ≈ 11.09 ( to the nearest hundredth )
Answer:
Boxplot is constructed using quartiles and 5 No. summary means including minimum value of data, 1st quartile, 2nd quartile, 3rd quartile and maximum value of data.
As data already in increasing order, we find quartiles using the following formula,

where n = No. of Observations.
∴, 1st Quartile,

2nd Quartile,

3rd Quartile,

Minimum value of data = 32 & Maximum value of data = 99
So, Values of 5 no. that are to ne include in Boxplot are 32, 55.5, 69.5, 80.5, 99.
BoxPlot is attached with this ans.
Answer:
E'F' and EF are equal in length
Step-by-step explanation:
we have
The coordinates of point E(-3,2) and F(-1,2)
we know that
The rule of the reflection across the x-axis is
(x,y) ------> (x,-y)
so
Applying the rule of reflection across the x-axis
E(-3,2) -------> E'(-3,-2)
F(-1,2) --------> F'(-1,-2)
using a graphing tool
see the attached figure to better understand the problem
therefore
E'F' and EF are equal in length
Answer:
97.2 m
Step-by-step explanation:
=
= 19.4 m/s
Distance = speed x time = 19.4 m/s x 5 s = 97.2 m