Answer:
Step-by-step explanation: write the equation in the form of a proportion
2 1/2 is to 4 as something is to 3
2 1/2 / 4 = x/3
Then, cross multiply 2 1/2 x 3 or
5/2 x 3/1 = 15/2
Next cross multiply 4•X= 4X
Write as 4X = 15/2
Divide both sides by 4.
4X/ 4 = 15/2 /4
x = 15/2÷ 4/1
Divide by changing the sign to multiplication and inverting 4/1 to 1/4 like this:. 15/2. × 1/4= 15/8
Finally, 15/8 simplifies to 1 7/8 cups
Answer: The area is 268 cm squared (approximately)
Step-by-step explanation: The area of a parallelogram is given as ;
Area = b x h
Where b is the base and h is the vertical height. However the vertical height is not given, so we shall apply the trigonometric ratio to determine the vertical height. If we draw a straight line from the the top right vertex down to the base, we would have constructed a right angled triangle with hypotenuse 13cm, and reference angle 79 degrees. We can now calculate the vertical height as follows;
Sin 79 = opposite/hypotenuse
Sin 79 = h/13
By cross multiplication we now have
Sin 79 x 13 = h
0.9816 x 13 = h
12.76 = h
With the vertical height now known, we can calculate the area as follows
Area = b x h
Area = 21 x 12.76
Area = 267.96 cm squared
The correct answer is the first choice, ($1818.30, $5077.70.)
To find this, we first find the z-score based on the confidence level:
Convert 95% to a decimal: 95%=95/100 = 0.95
Subtract from 1: 1-0.95 = 0.05
Divide by 2: 0.05/2 = 0.025
Subtract from 1: 1-0.025 = 0.975
Using a z-table (http://www.z-table.com) we see that this value is associated with a z-score of 1.96.
Next, we identify

Next we find

Next we find

Next, we multiply this value by z:
1.96(831.479) = 1629.70
The confidence interval is given by
Answer:
o sry I don't no iamm really sry for that
2 × 4 is a way to use multipacation