Answer:
Option a - 8
Step-by-step explanation:
Given : A scatter plot with the least squares regression line is shown.
To find : What is the predicted value for x=5?
Solution :
Refer the attached scatter plot below with the least squares regression line,
We have seen that at the value of x=5
The line intersect at the point where response variable is 8.
So, The predicted value for x=5 is 8.
Therefore, Option a is correct.
Answer:
Number of special bagel sandwiches = 37
Step-by-step explanation:
Let denote number of special bagel sandwiches and plain bagels respectively.
The bagel shop sold 100 items.
Also, The bagel shop made $385.
Put in
So,
Number of special bagel sandwiches = 37
It has not been indicated whether the figure in the questions is a triangle or a quadrilateral. Irrespective of the shape, this can be solved. The two possible shapes and angles have been indicated in the attached image.
Now, from the information given we can infer that there is a line BD that cuts angle ABC in two parts: angle ABD and angle DBC
⇒ Angle ABC = Angle ABD + Angle DBC
Also, we know that angle ABC is 1 degree less than 3 times the angle ABD, and that angle DBC is 47 degree
Let angle ABD be x
⇒ Angle ABC = 3x-1
Also, Angle ABC = Angle ABD + Angle DBC
Substituting the values in the above equations
⇒ 3x-1 = x+47
⇒ 2x = 48
⇒ x = 24
So angle ABD = 24 degree, and angle ABC = 3(24)-1 = 71-1 = 71 degree
Answer:
15 feet.
Step-by-step explanation:
A bulletin board has been shown in the figure below.
Where the width of the board AB = DC = = 4.5 feet
and the length of the board AD = BC = 6 feet
As Ms. Berkin is dividing the board by stretching the ribbons to the opposite corners so the length of ribbons will be AC and BD.
In right angle triangle <em>ADC</em>, using Pythagorean Theorem,
=
feet
Similarly in triangle <em>BDC</em>,
feet
Thus, total length of the ribbon used = AC + BD = 7.5 + 7.5 = 15 feet
