Hi,
Concept: The given problem is based on 3 Dimensional Geometry.
Consider three axes in defined space be x, y & z in their positive directions then - x , -y & -z be their negative axes.
The coordinate of given point A(x1, y1, z1) = (1, -3, 4)
If we take the reflection of point A about xz - plane x and z coordinates will remain same and y-coordinate will give its reflection. It means the value of y-coordinate will be changed which will be +ve 3.
Hence, the reflection of A(1, -3, 4) will be A'(x2, y2,z2= (1, 3, 4).
Answer:
Kindly check explanation
Step-by-step explanation:
Given the following :
Equation of regression line :
Yˆ = −114.05+2.17X
X = Temperature in degrees Fahrenheit (°F)
Y = Number of bags of ice sold
On one of the observed days, the temperature was 82 °F and 66 bags of ice were sold.
X = 82°F ; Y = 66 bags of ice sold
1. Determine the number of bags of ice predicted to be sold by the LSR line, Yˆ, when the temperature is 82 °F.
X = 82°F
Yˆ = −114.05+2.17(82)
Y = - 114.05 + 177.94
Y = 63.89
Y = 64 bags
2. Compute the residual at this temperature.
Residual = Actual value - predicted value
Residual = 66 - 64 = 2 bags of ice
It would be in a state of loss because the units manufactured neither reaches nor exceeds the break even point.
Answer:
a) cluster sampling
Step-by-step explanation:
In cluster sampling method, each member of a population is assigned to one and only one group.This means clusters are formed through probability method usually a simple random sampling.The participants in the clusters are the only one to be surveyed.
In this example, simple random sampling is used to identify 12 home rooms(cluster) where a group of 20 students (participants) in each room is given the survey.
Answer:
51.26 ft
Step-by-step explanation:
First find the area of the triangle:
a=1/2 base times height
a=(1/2)(6)(4)
a=12 ft
Now find the area of the circles:
a= pi times radius squared
a= pi times 2.5 squared
a=19.63 ft
19.63 + 12 = 31.63 ft