y = –A system of equations. y equals negative StartFraction one-half EndFraction x plus 4. x plus 2 y equals negative 8.x + 4 x

Answer:

A - For every 100 customers, a cashier should anticipate 26 who do not make a purchase before encountering a buyer.

B - The probability of a purchase is 1/4

Step-by-step explanation:

There's a 74% estimated likelihood that a customer will buy something

If a total of 100 individuals enter the grocery store on any given day,

then 74 % of the visitors

= 74% of 100

= 74 people are likely to make a purchase.

⇒ This means out of 100 visitors, 74 will buy something.

Consequently, the number of individuals NOT buying anything = 100 - 74 = 26

⇒ Thus, 26 people among 100 will NOT make a purchase.

Additionally, 26 equates to 26% of 100

Part A:

So, the cashier can expect 26% of the customers won't buy anything as the percentage of individuals not purchasing stands at 26%.

Thus, in a group of 100 individuals, the cashier can anticipate 26 before finding a buyer.

Part B:

The percentage of customers buying = 74%

The percentage of individuals NOT buying = 26%

Therefore, for every 3 customers making a purchase, there will be 1 who does not buy. Thus, the probability is 1/4

1 1
2 3
3 6
4 10
5 15
6 21
7 28
8 36
9 45
10 55
11 66
12 78
13 91
14 105
15 120
16 136
17 153
18 171
19 190
20 210
21 231
22 253
23 276
24 300

Here’s a chart to aid in understanding the staircase issue. Observe that for 1 step, there is 1 block; for 2 steps, 3 blocks; for 3 steps, 6 blocks, and so forth. Note that the blocks corresponding to each step are a combination of that step and all the blocks used in the steps beneath it. For instance, constructing 14 steps requires 105 blocks.
If you’re familiar with summation, you would sum the blocks for each step with all the steps below it. For example, 5 steps would require 5 + 4 + 3 + 2 + 1, resulting in a total of 15 blocks. I hope this helps you begin. As for the second part, I'm confused by the problems since they don't represent equations. NO equal signs


glad if it helps

Thus, the average is 72.97

We must deduct the mean from each number and square the result.
(65-72.97)^2= 63.5209
(68-72.97)^2=24.7009
(69-72.97)^2=15.7609
(70-72.97)^2=8.8209
(71-72.97)^2= 3.8809
(72-72.97)^2=0.9409
(90-72.97)^2=290.0209
(95-72.97)^2=485.3209

Next, we sum these new values (also taking their frequencies into account) and compute their average.
Sum the figures
63.5209+(2 •24.7009=49.4018)+(5•15.7609=78.8045)+(8•8.8209=70.5672)+(7•3.8809=27.1663)+(3•0.9409=2.8227)+(2•290.0209=580.0418)+(2•485.3209=970.6418)= 1,842.967
Then divide by the total number to determine the mean
1,842.967/ 30=61.43223333

The standard deviation is the square root of the average which equals
Square root of 61.43223333=7.837871735
Round it to the nearest tenth
The Standard Deviation is 7.8

Ken experienced a growth of 17/40 of an inch.

Refer to the diagram displayed below.

Assuming that nearly all data is under the curve of the probability distribution within three standard deviations of the mean, the actual percentage is 99.7%.
Consequently,
bin #1 corresponds to μ-3σ,
bin #11 aligns with μ,
and bin #21 relates to μ + 3σ.

Let x represent the random variable for bin 17.
Using interpolation,


The z-score for x can be calculated as


According to standard tables, the probability for bin #17 is
P(z≤1.8) = 0.964
Thus, if there are 1000 balls, the total in bins 1 through 17 is
0.964 * 1000 = 96.4 ≠ 96 balls.

Answer: 96 balls