Answer:
<u>The length of the rectangle is 14.5√6/29 or 6.6 meters and the width is 10√6/29 or 4.55 meters.</u>
Step-by-step explanation:
1. Let's review the information given to us to answer the question correctly:
Area of a rectangle = 30 square meters
2. Find the length and width if the length is 1.45 times the width.
Width of the rectangle = x
Length of the rectangle = 1.45x
Now substituting in the formula of the area of a rectangle, this way:
30 = x * 1.45x
30 = 1.45x²
x² = 30/1.45
x = √30/1.45
x = 10 √6/29 or 4.55 (Rounding to two decimal places)
1.45 x = 14.5 √6/29 or 6.6
<u>The length of the rectangle is 14.5√6/29 or 6.6 meters and the width is 10√6/29 or 4.55 meters.</u>
Answer:
B
Step-by-step explanation:
1. A reflection across the origin has a rule

2. A translation 9 units to the left and 7 units down has a rule

Then the rule for a reflection across the origin followed by a translation 9 units to the left and 7 units down is

This means that the point with coordinates (x,y) has the image with coordinates (x',y')=(-x-9,-y-7).
Answer:
Step-by-step explanation:
Given that an investigator measuring various characteristics of a large group of athletes found that the correlation between the weight of an athlete and the amount of weight that athlete could lift was 0.60.
Correlation coefficient is the measure of association and a positive value implies that increase in one value causes increase in the other.
Hence out of the given options correct ones are
c) The more an athlete weights, on the average the more he weights.
d) The more an athlete can lift, on the average the more he weighs.
e) 60% of athlete's lifting ability can be attributed to his weight alone.
Answer:
Option 1 and 3 are correct which indicate that fifty percent of the data values lie between 34 and 46, and it is unlikely there are any outliers.
Step-by-step explanation:
As the plot is not given, by an online search, same question is found online for which the plot is given as attached herewith.
From the box plot:
median=46
Q1=42
Q3=70
Q3-Q1= IQR=70-42=28
max=76
min=34
Range=max-min=76-34=42
no outliers seen from boxplot
only (1)and (3)are correct.
It shows the distance between him and the coach getting the “motion” of his running time. It’s like the circle with the line in the middle...