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alexira [117]
1 year ago
10

WHEN GIVEN A RAW SCORE, EXPLAIN HOW TO USE THE NORMAL CURVE TO COMPARE THAT SCORE TO THE POPULATION. WHAT IS A Z-SCORE?

Mathematics
1 answer:
valina [46]1 year ago
5 0

<span>1. </span>When given a raw score, it must be converted into a z-score (standard score). Raw scores cannot be placed on a normal distribution curve because they do not have the same means and standard deviations, but when it is converted into a z-score, the number of standard deviations above or below the population mean can be measured. The z-scores on the center are average, the scores on the left are lower than average and the scores on the right are higher than average.

<span>2. </span>A z-score is a standard score which can be placed on a normal distribution curve. A z-score indicates the distance of the standard deviations from the mean (center of the curve).

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Leticia charges $8 per hour to babysit. She babysat Friday night for 4 hours,
JulsSmile [24]

For this case we have that the variable "x" represents the number of hours that Leticia uses to take care of children on Saturday.

IF on Friday I use 4 hours ($ 8 each) and on Saturday "x" hours ($ 8 each) obtaining a profit of $ 72, we have the following equation:

8 (4 + x) = 72

We apply distributive property:

32 + 8x = 72\\8x = 72-32\\8x = 40\\x = \frac {40} {8}\\x = 5

So, on Saturday she spent 5 hours.

Answer:

8 (4 + x) = 72\\x = 5

6 0
1 year ago
Read 2 more answers
As part of a new advertising campaign, a beverage company wants to increase the dimensions of their cans by a multiple of 1.11.
Elis [28]

Answer:

124.67cm³

Step-by-step explanation:

==>Given:

Dimensions of current can:

Height (h) = 12cm

Diameter = 6cm (radius = 3cm)

Volume of current can (V1) = 339.12 cm³

Dimensions of future cans to be increased multiple of 1.11:

height = 12cm × 1.11 = 13.32 cm

radius = 3cm × 1.11 = 3.33 cm

Volume of future can (V2) = πr²h = 3.14*3.33²*13.32

= 3.14*11.0889*13.32 = 463.791025

V2 ≈ 463.79 cm³

==>Find how much more would new cans hold = Volume of new can - volume of current can

= 463.79 cm³ - 339.12 cm³

= 124.67cm³

5 0
2 years ago
A hardware store owner is replenishing his stock of base paint for an upcoming home improvement sale. He conducted a survey to d
antiseptic1488 [7]

Solution:

                       Matte Satin    Glossy Total

Homeowners 0.08 0.20 0.24 0.52

Contractors 0.04 0.26 0.18         0.48

Total         0.12         0.46 0.42   1

Approximately what percentage of contractors prefer the glossy finish?

Answer: Percentage of contractors who prefer the glossy finish is:

\frac{0.18}{0.48}=0.375&#10; or 37.5\%

Therefore, the option D. 37.5% is correct

6 0
1 year ago
Read 2 more answers
A manager states that his process is really working well. Out of 1,500 parts, 1,477 were produced free of a particular defect an
Nina [5.8K]

Answer:

The answer is explained below

Step-by-step explanation:

STEP 1

Out of 1500 units produced by a company 1,477 are found to be free of a particular type of defect. One needs to rate the performance based on Six Sigma Theory.

STEP 2

Manager can define the performance of a product using defects per million units DPMO metric

DPMO can be find by using

DPMO = Total number of defects in a sample/ No. of opportunities of per error per unit x No. of units * 1,000,000

          = 1500 - 1477/ 1 x 1500* 1,000,000

          = 23/1500

          = 15,333,33

The defect rate of the process can be find by

Defect rate = No. of defects/ No. of units * 100

                   = 1500 - 1477/1500 * 100

                   = 23/1500 * 100

                   = 1.53%

Six Sigma theory focuses on achieving 3.4 defects per million for a certain period of time. However in this, performance of the process is not as good as stated by the manager.

8 0
1 year ago
Read 2 more answers
Kennedy served 15 3 / 4 hours of volunteer service last month. She served 21 5 / 6 hours of volunteer service this month. How ma
Rasek [7]
73/12 or 6 1/12 hours more than before
5 0
1 year ago
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