Answer:
Width of the rectangular banner is 
ft.
Step-by-step explanation:
Area of the rectangular banner = 
square feet
= 
square feet
Area of rectangle is given by,
Area = Length × Width
Length of the banner = 
feet
From the formula,
W = 
= 
= 
= ft
Therefore, width of the rectangular banner is ft
Answer:
100
Step-by-step explanation:
First we find the mean of this set of data. We find the mean by finding the sum of data values and dividing it by the number of data values:
5+10+10+10+10+10+10+15 = 80
There are 8 data values; 80/8 = 10. The mean is 10.
To find the standard deviation, subtract the mean from each value; square the difference; add the squares; divide by the number of data values; and take the square root:
5-10 = -5; 10-10 = 0; 10-10 = 0; 10-10 = 0; 10-10 = 0; 10-10 = 0; 10-10 = 0; 15-10 = 5
(-5)^2 = 25; 0^2 = 0; 0^2 = 0; 0^2 = 0; 0^2 = 0; 0^2 = 0; 0^2 = 0; 5^2 = 25
25+0+0+0+0+0+0+25 = 50
50/8 = 6.25
√6.25 = 2.5
The standard deviation is 2.5.
This means two standard deviations, or 2σ, is 2(2.5) = 5.
This gives us μ-2σ = 10-5 = 5 and μ+2σ = 10+5 = 15.
Since all of our data is between 5 and 15, 100% is within two standard deviations of the mean.
Answer:
x=71
Step-by-step explanation:
(Base angle of an isosceles triangle)
Answer;
Mark traveled at the highest velocity to Charleston
Answer:
1, (-5)(8)=-40 2, (4)(-4)=-16. 3, (-1)(-9)=9. 4 , (5)(6)=30. 5, (12)(-2)=-24. 6, (‐15)(9) =-135. 7. (5)(‐6)= -30. 8. 6(‐6) = -36. 9. (‐27)(14) = - 378. 10.(‐32)(0) = 0. 11.(128)(‐3)= -384. 12.(‐54)(‐4) = 216. 13.(+21) ÷ (+7)= +3
Step-by-step explanation:
positive number multiplied by positive number gives positive number
negative number (-ve) times positive number (+ve) gives -ve
-ve times -ve gives +ve
+ve times -ve gives -ve
hope it helps
