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marissa [1.9K]
1 year ago
5

Y_(1)=3(5x-9)-3,y_(2)=8(x-5)+15,y_(1)=y_(2)

Mathematics
1 answer:
sammy [17]1 year ago
6 0

Answer:

y2=8x−5y1=8x−25

Step-by-step explanation:

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Name the sampling method used in each of the following situations:
elixir [45]

Answer:

a) Convenient

b) Cluster

c) Stratified

d) Systematic

e) Random

Step-by-step explanation:

Samples may be classified as:

Convenient: Sample drawn from a conveniently available pool.

Random: Basically, put all the options into a hat and drawn some of them.

Systematic: Every kth element is taken. For example, you want to survey something on the street, you interview every 5th person, for example.

Cluster: Divides population into groups, called clusters, and each element in the cluster is surveyed.

Stratified: Also divides the population into groups. However, then only some elements of the group are surveyed.

Situation a:

Asks all from a single group(sitting passengers), that is, convenint sample.

Situation b:

First she separates the students by row, then from each row, she chooses all students. So this is Cluster sampling.

Situation c:

The manager separates the stores by location, and then in each location, random customers are chosen. This is an example of Stratified sampling.

Situation d:

Marks for every fourth patron, that is, every 4th element. So Systematic sampling.

Situation e:

People chosen at random, so Random sampling.

6 0
3 years ago
Mr. Charles gave both of his sons, Joe and Bill, $5,000. Joe deposited the money in an account that offered simple interest of 1
Maksim231197 [3]

Answer:

Bill by $85

Step-by-step explanation:

Bill :  Compound interest is calculated by multiplying the initial principal amount by one plus the annual interest rate raised to the number of compound periods minus one. The total initial amount of the money given  is then subtracted from the resulting value.

Compounded annually for 6 years at 9 % interest Bill would have $8385.50.

Joe : Simple interest at 11% a year The formula we'll use for this is the simple interest formula.

P is the principal amount, $5000.00.

r is the interest rate, 11% per year, or in decimal form, 11/100=0.11.

t is the time involved, 6year(s) time periods.

So, t is 6year time periods.

To find the simple interest, we multiply 5000 × 11 × 6  = 3300

Usually now, the interest is added onto the principal to figure some new amount after 6 year(s),

or 5000.00 + 3300.00 = 8300.00

As you can see Bill has more by $85.

^Check yourself

5 0
2 years ago
Ab + 2b²<br> where<br> a = 7 b=4
Veronika [31]

Answer:

60

Step-by-step explanation:

a=7\\b=4\\ab+2b^2\\(7)*(4)+2*(4)^2\\28+2*16\\28+32\\=\fbox{60}

7 0
1 year ago
Find the measurement indicated in the parallelogram​
Daniel [21]

Answer:

m(∠W) = 114°

Step-by-step explanation:

By the property of a parallelogram,

"Opposite angles of a parallelogram are equal in measure"

By this property,

m(∠W) = m(∠U)

9x + 15 = 4 + 10x

15 - 4 = 10x - 9x

x = 11

Therefore, m(∠W) = 9x + 15

                              = 9(11) + 15

                              = 99 + 15

                              = 114°

Measure of angle W is 114°.

7 0
2 years ago
what is the solution to set to the inequality (4x-3)(2x-1)_&gt;0 a) {x|x&lt;_3 or x_&gt;1} b) {x|x&lt;_2 or x_&gt; 4/3} c) {x|x&
Vinil7 [7]
       (4x - 3)(2x - 1) ≥ 0
4x - 3 ≥ 0    or    2x - 1 ≤ 0
    + 3  + 3                + 1 + 1
     4x ≥ 3                 2x ≤ 1
      4     4                  2    2
       x ≥ ³/₄                  x ≤ ¹/₂
        x ∈ [-∞, ¹/₂] ∧ [³/₄, ∞]

The answer is C.
6 0
2 years ago
Read 2 more answers
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