Answer:
Length of the Rectangle = 10 inches
and Width = 25 inches
Step-by-step explanation:
Let the width of the rectangle = k inches
So, the Length of the rectangle = (3k - 5) inches
Perimeter = 70 inches
Now, Perimeter of the Rectangle = 2(Length + Width)
= 2 (k + (3k-5))
⇒ 2 (k + (3k-5)) = 70
or, 2(k + 3k -5) = 70 ⇒ 2(4k - 5) = 70
⇒ 8k - 10 = 70
or, 8k = 70+ 10 = 80
or, k = 80/8 = 10
So, the Length = 10 inches
Hence, Width = 3k - 5 = 3(10) - 5 = 30 - 5 = 25 inches
So, Length of the Rectangle = 10 inches
and Width = 25 inches
A ratio equivalent to 3:11 will be multiplying each term by a common term. Eg 3 x 2 : 11 x 2 = 6:22
Answer:
y = 9,958(0.972)^t
Step-by-step explanation:
From point to point, the difference in days is always constant (10 days), but the difference between estimated number of bees is not constant.
10000 - 7500 = 2500
7500 - 5600 = 1900
5600 - 4200 = 1600
4200 - 3200 = 1000
3200 - 2400 = 800
Therefore, the data don't fit a line.
From the other two options:
y = 9,958(0.972)^t
y = 0.972(9,958)^t
only the first one has sense, because its initial amount of bees is 9,958 (near to 10,000) and in the second option is 0.972.
Answer: (47.51, 54.49)
Step-by-step explanation:
Confidence interval for population mean is given by :-

, where n= sample size .
= population standard deviation.
= sample mean
= Two -tailed z-value for
(significance level)
As per given , we have

n= 44
Significance level for 95% confidence = 
Using z-value table ,
Two-tailed Critical z-value : 
Now, the 95% confidence interval for the true population mean textbook weight will be :-

Hence, the 95% confidence interval for the true population mean textbook weight. : (47.51, 54.49)
Answer:
The food will last for 25 days with 72 boys
Step-by-step explanation:
Proportions can be used to find the number of days the food will last for 72 boys.
60 boys in a hostel have food for 30 days.
Let x be the number of days for which the food will last
The proportion or product of both scenarios has to be same as the number of days and number of boys are proportional
Which means

Hence,
The food will last for 25 days with 72 boys