Answer:
AC = 52
Step-by-step explanation:
the diagonals of a square are congruent and bisect each other, hence
AC = BD
2(3x - 4) = 10x - 48
6x - 8 = 10x - 48 ( subtract 10x from both sides )
- 4x - 8 = - 48 ( add 8 to both sides )
- 4x = - 40 ( divide both sides by - 4 )
x = 10
⇒ AC = 2(3 × 10 - 4) = 2 × 26 = 52
Answer:
20% of 30 is 6 which would leave 24 dollars left to pay
Step-by-step explanation:
30 x 0.2= 6
30-6=24
Answer:
The speed of 65 mph is an outlier in the distribution of the player's serve speeds
Step-by-step explanation:
We are given the following information in the question:
Mean, μ = 100 mph
Standard Deviation, σ = 10 mph
Formula:
Outlier on basis of z-score:
- Any z-score greater than 3 or less than -3 is considered to be an outlier.
- This rule of thumb is based on the empirical rule.
Calculation of z-score:
![x = 65\Rightarrow z = \dfrac{65-100}{10} = -3.5\\\\x = 110\Rightarrow z = \dfrac{110-100}{10} = 1\\\\x = 120\Rightarrow z = \dfrac{120-100}{10} = 2](https://tex.z-dn.net/?f=x%20%3D%2065%5CRightarrow%20z%20%3D%20%5Cdfrac%7B65-100%7D%7B10%7D%20%3D%20-3.5%5C%5C%5C%5Cx%20%3D%20110%5CRightarrow%20z%20%3D%20%5Cdfrac%7B110-100%7D%7B10%7D%20%3D%201%5C%5C%5C%5Cx%20%3D%20120%5CRightarrow%20z%20%3D%20%5Cdfrac%7B120-100%7D%7B10%7D%20%3D%202)
Thus, the speed of 65 mph is an outlier in the distribution of the player's serve speeds as the corresponding z-score is less than -3.
Answer:
Your equation would be
y=4x-12
Step-by-step explanation:
So an easy way to figure this out is graph the points and look at the distance the points are away from each other. In this case it was 12 up and 3 right. This is your slope. Simplify the fraction to 4/1. Then from (2,-4) use the given slope to work back to a point that is on the y axis, which is (0,12). Plug all of the given information you found into y=mx+b and you get the given formula.
Answer:
7.5 cm
Step-by-step explanation:
it is a right triangle, b=10, hypotenuse c=12.5
a^2+b^=c^2 the Pythagorean theorm
a^=c^2-b^2
a^2= 12.5^2-10^2
= 56.25
a=√56.25=7.5 cm