Hi there!
To subtract this, we can only subtract like terms. That means we only subtract 7x^2 and 5x^2, 4x and 10x, and -9 and -5. It might make more sense after the work below:
7x^2 - 5x^2 = 2x^2
4x - 10x = -6x
-9 - -5 = -4
So, the answer is 2x^2 - 6x - 4
Hope this helps!
Answer:
10.3
Step-by-step explanation:
![\sqrt{ { ( 8 - ( - 1))}^{2} + {( - 2 - 3)}^{2} } = \sqrt{ {9}^{2} + {( - 5)}^{2} } = \sqrt{81 + 25} = \sqrt{106} = 10.3](https://tex.z-dn.net/?f=%20%5Csqrt%7B%20%7B%20%28%20%208%20-%20%28%20-%201%29%29%7D%5E%7B2%7D%20%2B%20%20%7B%28%20-%202%20-%203%29%7D%5E%7B2%7D%20%20%7D%20%20%3D%20%20%5Csqrt%7B%20%7B9%7D%5E%7B2%7D%20%20%2B%20%20%7B%28%20-%205%29%7D%5E%7B2%7D%20%7D%20%20%3D%20%20%5Csqrt%7B81%20%2B%2025%7D%20%20%3D%20%20%5Csqrt%7B106%7D%20%20%3D%2010.3)
(Army?
Answer:
x = 4 and y = 8
Step-by-step explanation:
Using the tangent and cosine ratios in the right triangle and the exact values
tan30° =
, cos30° = ![\frac{\sqrt{3} }{2}](https://tex.z-dn.net/?f=%5Cfrac%7B%5Csqrt%7B3%7D%20%7D%7B2%7D)
tan30° =
=
=
( cross- multiply )
x = 4
( divide both sides by
)
x = 4
-------------------------------------------------------------------
cos30° =
=
=
( cross- multiply )
y = 8
( divide both sides by
)
y = 8
Answer:
b. We are 95% confident that the proportion of coworkers who went on a vacation last year away from home for at least a week is between 50% and 66%.
Step-by-step explanation:
A confidence interval at the level of x% for a proportion being between a and b means that we are x% sure that the true proportion of the population is between a and b.
In this problem, we have that:
95% C.I is (0.5, 0.66)
Interpretation: 95% confident that the true proportion is between 0.5 and 0.66.
The correct answer is:
b. We are 95% confident that the proportion of coworkers who went on a vacation last year away from home for at least a week is between 50% and 66%.