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Feliz [49]
3 years ago
9

There are 327 official ports of entry in the United States. The Department of Homeland Security selects 15 ports of entry at ran

dom to be audited for compliance with screening procedures of incoming travelers through the primary and secondary vehicle and pedestrian lanes. What kind of sample is this (simple random, systematic, stratified, cluster)?
Mathematics
1 answer:
lys-0071 [83]3 years ago
5 0

Answer:

RANDOM

Step-by-step explanation:

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Find the approximate distance between line –2x + 2y = 8 and the point P (4, −2).
nikklg [1K]
Hello,

-2x+2y=8==>y=x+4(1)
The perdicular passing trought (4,-2) is
y+2=-1(x-4)==>y=-x+2(2)
The intersection is
(1)-(2)==>2x+2=0==>x=-1 and y=-1+4=3
Q=(-1,3)
P=(4,-2)
Distance PQ= √(( -1-4)²+(3+2)²)=√50=7,0710678...


7 0
4 years ago
Carlota bought 5 slices of pizza and h hamburgers. The cost of a slice of pizza is $p and a hamburger is $3 more than a slice of
Charra [1.4K]

\text{The expression is representing the cost of a hamburger}\\\\\text{We know that from the question that the cost of a pizza slice}\\\text{is represented as "p", and the hamburger costs 3 more dollars}\\\text{than a pizza slice.}\\\\\text{So you're adding 3 dollars to the cost of the pizza to get the cost of a}\\ \text{hamburger}\\\\\text{Therefore, (p+3) = cost of hamburger}

4 0
3 years ago
Use the discriminant to determine the number and type of solutions for the following equation. 12x2 + 10x + 5 = 0
Paul [167]
Discriminant D is given by:
D=b²-4ac
Implication of discriminant is as follows:

D<0 two zeros that are complex conjugate
D=0 one real zero of multiplicity 2
D>0 two distinct real zers
D= (+ve perfet square)  two distinct rational zeros
From:
12x^2+10x+5=0
plugging in the equation we get:
10²-4×12×5
=100-240
=-140
thus
D<0

Answer is: 
<span>A two irrational solutions </span>
4 0
4 years ago
Read 2 more answers
Please Help!
svet-max [94.6K]
First car is x
second car is y
25x+30y=1550
x+y=55
Multiply the second equation by -25 for elimination method to cancel out x
-25x-25y=-1375
Add the two equations
5y=175
y=35
Plug this value into the second equation
x+35=55
x=20

Final answers:
First car=20 gallons
Second car=35 gallons
6 0
3 years ago
in one state 52% of the voters are republicans , and 48% are democrats. In a second state 47% of the voters republicans and 53%
soldi70 [24.7K]
Random in sample each state and 53% identify each contain the number
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4 years ago
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