Answer:
2/7(x-2)=4x
(2×x-2×2)/7 = 4x
(2x-4)/7 = 4x
2x-4×(1) = 4x × 7 ( Cross multiply)
2x-4 = 28
2x = 32
2x÷2 = 32÷2
x=16
Y=3/4x-2
the y intercept is -2
and the slope is 3/4
slope= change in y/change in x
Hey there!
Let's first define what area means. Area is for two-dimensional shapes, and expressions how big something is and to what extent. There are formulas that can measure area because these shapes are totally flat, and there's nothing more to measure.
However, when we have three-dimensional figures such as rectangular prisms, we use surface area. Surface area measures the total area that the object takes up, and is a sum of the areas of all the faces. The formula for surface area of a rectangular prism is:
2(lw + wh + lh)
So if we had:
L = 5
W = 6
H = 3
We would have:
A = 2(5×6 + 6 × 3 + 5×3) =
2(30 + 18 + 15) =
2(48 + 15) =
2(63) =
A = 126 units cubed
Notice how it's units cubed because there's 3 dimensions.
Hope this helps!
Answer:
d. ( 63.9, 66.7)
Therefore at 90% confidence interval (a,b) = ( 63.9, 66.7)
Step-by-step explanation:
Confidence interval can be defined as a range of values so defined that there is a specified probability that the value of a parameter lies within it.
The confidence interval of a statistical data can be written as.
x+/-zr/√n
Given that;
Mean x = 65.3
Standard deviation r = 5.2
Number of samples n = 36
Confidence interval = 90%
z(at 90% confidence) = 1.645
Substituting the values we have;
65.3+/-1.645(5.2/√36)
65.3+/-1.645(0.866667)
65.3+/-1.42567
65.3+/-1.4
= ( 63.9, 66.7)
Therefore at 90% confidence interval (a,b) = ( 63.9, 66.7)
