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Scrat [10]
3 years ago
9

Every fifth driver that passes through a toll booth is asked whether they will be going

Mathematics
1 answer:
denis23 [38]3 years ago
4 0
<h3>Answer: B. Systematic sampling </h3>

Systematic sampling is where you basically just set a rule on how to select each person. In this case, the rule would be to select every 5th person that drives through the toll.

-----------------

Extra info:

Stratified random sampling is the idea of breaking people into different mutually exclusive homogenous groups (called strata). An example would be to have a group of all boys and another group of all girls.

Voluntary response sampling is exactly what it sounds like: it's whenever you have people who volunteer their responses. In other words, only those who choose to be in the sample will counted. This is more than often a very biased form of sampling.

Simple random sampling (SRS) would involve things like using a random number generator, picking names out of a hat, rolling a dice, etc etc.

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‼️‼️solve by substitution {2p-3r=6
Anestetic [448]

Answer:

#7: (p, r) = (0, -2) #8: (z,w) = z, \frac{8}{3} + \frac{4}{3}z), ∈R  #9: (c,d) = (3,3) #10: (u,x) ∈∅ #11: (a,b) = (-1, 2) #12:

Step-by-step explanation:

#7

Solve for 2p

2p - 3r = 6

2p = -6 -3r

substitute the given value of 2p into equation 2p - 3r = 6

-6 - 3r - 3r = 6

solve for r

r= -2

substitute value of r in equation

2p = -6 - 3x (-2)

solve for p

p=0

solution is ordered pair (p,r) = (0, -2)  

#8

Solve for w

w= \frac{8}{3} + \frac{4}{3}z

substitute the given value of w into equation

6 (\frac{8}{3} + \frac{4}{3}z) - 8z = 16

solve for z

z ∈ R

The statement is true for any value of z and w that satisfy both equations from the system. Therefore, the solution is in parametric form.

(z,w) = z, \frac{8}{3} + \frac{4}{3}z)

#9

Solve for c

c + d = 6

c = d

substitute the given value of c into equation c + d = 6

d + d = 6

solve for d

d=3

substitute value of d in equation

c=3

solution is ordered pair (c,d) = (3,3)

#10

Solve for u

u= 3-2x

substitute the given value of c into equation

2 (3-2x) +4x = -6

solve for x

x ∈∅

Since the system has no solution for x the answer is  

(u,x) ∈∅

#11

Solve for b

b= 5+3a

substitute the value of b into equation

3a + 5 + 3a+ b = -1

solve for a

a= -1

substitute the value of a into equation

b= 5 + 3x (-1)

solve for b

b=2

solution is ordered pair (a, b) = (-1, 2)

6 0
3 years ago
Write the equation in standard form. 0.5x = y - 4
Nadusha1986 [10]

Answer:

y = 0.5x + 4, or y = 1/2x + 4 (if you prefer fractions)

Step-by-step explanation:

y = mx + b (slope intercept form / standard form) ; m = 0.5 or 1/2, b = 4.

m = linear coefficient/slope(denoted by <u>a</u> in a 1 degree binomial)

b = constant coefficient / y-intercept (denoted by <u>b</u> in a 1 degree binomial)

to convert this equation into a standard form equation. You need to isolate y and leave the coefficients on the other side.

0.5x = y - 4

0.5x (+4) = y - 4 (+4)

0.5x + 4 = y

y = 0.5x + 4

5 0
3 years ago
Read 2 more answers
Show that the quadrilateral is a parallelogram.
Novosadov [1.4K]

9514 1404 393

Answer:

  opposite sides have the same slope, so it is a parallelogram

Step-by-step explanation:

A parallelogram has opposite sides that are parallel. Here, one pair of opposite sides consists of horizontal lines. Both have zero slope, so are parallel.

The other pair of lines each has a "rise" of 3 units for each "run" of 2 units, so the lines have a slope of 3/2. Both lines have the same slope, so are parallel.

Since opposite sides are parallel, the figure is a parallelogram.

6 0
3 years ago
What is the percent of decrease from 200 to 110? A. 45% B. 55% C. 82% D. 90%
strojnjashka [21]
A) 45%, (100-200)/200=0.45 which also equals 45% :) 
8 0
4 years ago
I need help with number 4
Veronika [31]

Answer:

21 girls

Step-by-step explanation:

Boys: girls

5:7

Multiply each number by 3

15: 21

There will be 15 boys and 21 girls

4 0
3 years ago
Read 2 more answers
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