Answer:
Take x = 10.2 in. or x = 10 in.
Step-by-step explanation:
Given :
Length = (2x+3) in.
Breadth = x in.
Also, the Area of Rectangle = 240 sq in.
We know that,
Area of Rectangle = length x breadth
240 = (2x+3) x
2x² + 3x = 240
2x² + 3x - 240 = 0
Solving 2x²+3x-240 = 0 by the Quadratic Formula .
According to the Quadratic Formula, x , the solution for Ax2+Bx+C = 0 , where A, B and C are numbers, often called coefficients, is given by :
- B ± √ B²-4AC
x = ————————
2A
In our case, A = 2
B = 3
C = -240
Accordingly, B² - 4AC = 9 - (-1920) = 1929
Applying the quadratic formula :
-3 ± √ 1929
x = ——————
4
√ 1929 , rounded to 4 decimal digits, is 43.9204
So now we are looking at:
x = ( -3 ± 43.920 ) / 4
Two real solutions:
x =(-3+√1929)/4=10.230 ≈ 10
or
x =(-3-√1929)/4=-11.730
We'll take x = +ve value for calculation of length and breadth.
Therefore,
Length = [2(10.2) + 3 ]
L = 23.4 in.
Breadth = 10.2 in.
OR
Length = [2(10) + 3]
L = 23 in.
Breadth = 10 in.
Answer:
1. 0.472
2. 0.25
Step-by-step explanation:
1. reduce the fraction with 3 = 1\4 + 2\9
write all numerators above the Least common denominator 36 =9 + 8\36
Add numbers = 17\36 and the alternate form is 0.472
2. Divide the numerator and denominator by three = 3 ÷ 3\12 ÷ 3 = 0.25
I can't do the others now I have an exam(sorry)
The student wrote the wrong operation. "The sum of 5y and 3" translates to 5y+3. And here means addition.
Answer:
There is evidence to support the claim that there is a linear correlation between the heights and pulse rates of women
Step-by-step explanation:
given that the heights (in inches) and pulse rates (in beats per minute) for a sample of 11 women were measured.
correlation coefficient r = 0.7200
(two tailed test at 5% significance level)
r difference = 0.7200
Std error of r = 
Test statistic t = r difference/std error = 3.1128
df =9
p value=0.012458
since p <alpha, we reject H0
There is evidence to support the claim that there is a linear correlation between the heights and pulse rates of women
Answer:
Step-by-step explanation:
The first step is to multiply the numbers of the numerator. Thus:
Writing the answer above as the product of a whole number and unit fraction (that is, mixed number), 5 goes in 8 1 time remainder 3. Therefore:
