Answer:
x = 4 sqrt(5)
Step-by-step explanation:
Since this is a right triangle, we can use the Pythagorean theorem
a^2 + b^2 = c^2 where a and b are the legs and c is the hypotenuse
8^2 + x^2 = 12^2
64+ x^2 =144
Subtract 64 from each side
x^2 = 144-64
x^2 =80
Take the square root of each side
sqrt(x^2) = sqrt(80)
x = sqrt(16*5)
x = 4 sqrt(5)
Answer:
x=1/2, y=4
Step-by-step explanation:
Double both sides of the top equation:
4x+6y=26
Now subtract boths sides of the second one from the first one:
(4x+6y) - (4x-y) = 26 - (-2)
7y = 28
so y = 4
4x-y=-2 so 4x-4=-2
4x=2
x=1/2
The total space the water dispenser will take is equal to their volume.
Volume of one water dispenser = Length x Width x Height
So,
Volume = 4 x 8 x 14 = 448 in³
This is the volume on 1 dispenser. The volume of 3 dispensers will be = 3 x 448 = 1344 in³
This means, the 3 water dispensers will take 1344 cubic inches of space in Sid's refrigerator. So the correct answer is Fourth option
Answer:
95% Confidence interval for y
= (-9.804, -5.979)
Lower limit = -9.804
Upper limit = -5.979
Step-by-step explanation:
^y= 2.097x - 0.552
x = -3.5
Standard error = 0.976
Mathematically,
Confidence Interval = (Mean) ± (Margin of error)
Mean = 2.097x - 0.552 = (2.097×-3.5) - 0.552 = - 7.8915
(note that x=-3.5)
Margin of Error is the width of the confidence interval about the mean.
It is given mathematically as,
Margin of Error = (Critical value) × (standard Error of the mean)
Critical value for 95% confidence interval = 1.960
Standard Error of the mean = 0.976
95% Confidence Interval = (Mean) ± [(Critical value) × (standard Error of the mean)]
CI = -7.8915 ± (1.960 × 0.976)
CI = -7.8915 ± 1.91296
95% CI = (-9.80446, -5.97854)
95% Confidence interval for y
= (-9.804, -5.979)
Hope this Helps!!!
Two or more than a number is 2>_x or x<_2.
