Answer:
The probability is 9.80%.
Step-by-step explanation:
The u.s. senate consists of 100 members, 2 from each state.
A committee of five senators is formed.
P(at least one from Your state) = 1- 
= 1- 
= 
= 0.098
That is, 9.80%.
Convert the mixed number to inches. 3 feet 8 inches = 44 inches (12 inches per foot x 3 feet= 36 inches + 8 inches= 44 inches). 44 inches (length each section needs to be) x 4 (number of sections needed)=176 inches (total molding needed). To determine the amount of molding needed in feet, convert 176 inches into feet by dividing 176 inches by 12 inches. You get 14 2/3 feet, so the shortest board length is 15 feet.
Answer:
Step-by-step explanation:
We first need to define a couple of variables. Let s = the cost of 1 squash and z = the cost of 1 zucchini.
Now lets translate the words into algebra:
"The cost of 5 squash and 2 zucchini is $1.32" ===> 5s + 2z = 1.32
"Three squash and 1 zucchini cost $0.75" ===> 3s + z = 0.75
There are several ways to solve systems of equations. Let's use substitution. We can find what z equals in terms of s by manipulating the second equation:
3s + z = 0.75
-3s -3s
------------ -------------
z = -3s +0.75
Now lets substitute (-3s + 0.75) into the first equation for z, then solve for s:
5s + 2(-3s + 0.75) = 1.32
Can you handle it from here?
(Hint: Once you have solved for s, you can substitute that value back into either of the equations and solve for z.)
Answer:
<h3>
HJ = 15</h3>
Step-by-step explanation:
To get the length of segment HJ if H lies at (-1,7) and J lies at (8,-5), we will use the formula for calculating the distance between two points as shown;
D = √(x₂-x₁)²+(y₂-y₁)²
From the coordinates x₁ = -1, y₁ = 7, x₂ = 8, y₂ = -5
HJ = √(8-(-1))²+(-5-7)²
HJ = √(8+1)²+(-12)²
HJ = √81+144
HJ = √225
HJ = 15
<em>Hence the length of segment HJ is 15 units</em>
