80 feet; (use Pythagorean Theorem: leg^2 + leg^2 = hyp^2 )
Answer:
The correct answer: 0.05404
Step-by-step explanation:
Given:
Binomial distribution = x
n = 10
and p = 0.09
solution:
P(X=x) =1 0Cx*(0.09^x)*((1-0.09)^(10-x)) for x=0,1,2,...,10
So the probability is calculated by the Formula:
P(X>=3) = 1-P(X=0)-P(X=1)-P(X=2)
putting the given values in the formula
= 1-10C0*(0.09^0)*((1-0.09)^(10-0))-...-10C2*(0.09^2)*((1-0.09)^(10-2))
= 0.0540400
Thus, the correct answer: 0.05404
Answer:
Option C -M'K' is the same length as MK
Step-by-step explanation:
Given : Line segment MK has endpoints at (2, 3) and (5,4)
M'K' is the reflection of MK over the y-axis
By definition of reflection: reflection of point (x,y) across the the y-axis is the point (-x,y)
which implies M'K' has end points (-2,3) and (-5,4)
Now, we find the length of MK
let 

⇒ 
⇒
⇒
....(1)
Now, we find the length of M'K'
let 

⇒ 
⇒
⇒
.....(2)
from (1) and (2) we simply show that the length of MK and M'K' is equal
we can also refer the figure attached for reflection of MK and M'K'
therefore, Option C is correct
The function j(x)=39x is the number of jumping jacks you can do in x minutes how many can you do in 5 minutes'?
This is asking you to evaluate the function when x is 5...so all you do here is substitute 5 for x and simplify.. since the question defines "x" as the number of minutes...and j(x) represents the number of jumping jacks.
j(x) = 39x
j(5) = 39(5)
j(5) = 195 <--- answer...
So you do 195 jumping jacks in 5 minutes
I really hope this helps :)
Answer and Step-by-step explanation: Area of a right triangle, (as any other triangle), is calculated as: 
Area of a rectangle is calculated as: 
Area of a right trapezoid is:
, where:
a is short base
b is long base
h is height
1) Expressing areas in terms of x:
Area of triangle S1:


Area of rectangle S2:


Area of trapezoid S3:



2) a) 


Which is the same as S = (2x-3)(5x-9)
b) For the areas to be the same:




Using Bhaskara to solve the second degree equation:

= 1.8
= 1.5
For the areas of AFGC and ADEB to be equal, x has to be 1.5 or 1.8.
c) <u>Expand</u> <u>a</u> <u>polynomial</u> (or equation) is to multiply all the terms, remiving the parenthesis. <u>Reduce</u> <u>a</u> <u>polynomial</u> (or equation) is to combine terms alike,e.g.:

(expand)
(reduce)
d) For area of AFCG to be bigger than area of ADEB by 27:



Solving:


2.82
= 0.48
According to the enunciation, x cannot be less than 1.5, then, the value of x so that area AFGC exceeds the area ADEB by 27 is 2.82