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Alex17521 [72]
3 years ago
8

According to a company's website, the top 15% of the candidates who take the entrance test will be called for an interview. You

have just been called for an interview. The reported mean and standard deviation of the test scores are 70 and 7, respectively. If test scores are normally distributed, what is the minimum score required for an interview?
Mathematics
1 answer:
galben [10]3 years ago
6 0

Answer:

The minimum score required for an interview is 77.252

Step-by-step explanation:

We solve this using z score formula

z = (x-μ)/σ, where x is the raw score, μ is the population mean, and σ is the population standard deviation.

Top 15% of the candidates is a ranking that is equivalent to = 100 - 15% = 85th percentile.

The z score of 85th percentile = 1.036

Mean = 70

Standard Deviation = 7

Minimum score = raw score = ???

Hence:

1.036 = x - 70/7

Cross Multiply

1.036 × 7 = x - 70

7.252 = x - 70

x = 70 + 7.252

x = 77.252

The minimum score required for an interview is 77.252

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lutik1710 [3]

b - is a part of segment = 9.

We can see that

9 =b + x

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b +x=9 /*(-2) ------> -2b - 2x = -18

2b+x=12


-2b - 2x = -18

<u> 2b + x = 12</u>

-x = -6

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8 0
4 years ago
A local company had revenues of $2,800 last year. They spent 1/4 of their revenues on marketing and 1/7 of the remaining money o
WARRIOR [948]

Answer:

$1,800

Step-by-step explanation:

Given

Total revenue last year = $2,800

If they spent 1/4 of their revenues on marketing;

Amount spent on marketing = 1/4 * 2800

Amount spent on marketing = $700

Remaining money = 2800 - 700

Remaining money = $2100

If 1/7 of the remaining money is spent on upgrading their facilities, then;

Amount spent on upgrading facilities = 1/7 * 2100

Amount spent on upgrading facilities = $300

Total amount spent on marketing and facilities  = $700 + $300

Total amount spent on marketing and facilities  = $1000

Amount left = $2,800 - $1,000

Amount left = $1,800

7 0
3 years ago
The following data represent the chemistry grades for a random sample of 12 freshmen at a certain college along with their score
Katyanochek1 [597]

Answer:

R = 0.862

Strong positive relationship

Step-by-step explanation:

Given the data:

Test Chemistry Student Score,

x Grade, y

1 2 3 4 5 6 7 8 9 10 11 12

Score,x = 65 50 55 65 55 70 65 70 55 70 50 55

Grade, y = 85 74 76 90 85 87 94 98 81 91 76 74

Using technology :

The CORREL function in excel, calculators will give accurate value of the correlation Coefficient between two variables, x and y. The correlation Coefficient obtained using technology is : 0.862

The correlation Coefficient value ranges between (-1 and 1) with values closer to either - 1 or 1 reflecting stronger relationship. A value of 0 means there is no relationship between the variables. Negative values indicate negative relationships while positive indicates positive association between the variables.

Therefore. With a correlation Coefficient of 0.862, the correlation Coefficient can be interpreted as meaning that ; there is a strong positive relationship between score and grade.

6 0
3 years ago
What is 6 over 23 minus 2 over 2
Studentka2010 [4]
It’s 23over 2
Over 6
6 0
3 years ago
What is the slope of this line?<br> y = 7x - 5<br> Slope = [?]<br> Enter
weqwewe [10]

Answer:

the slope of this line is 7.

Step-by-step explanation:

I hope this helps

6 0
3 years ago
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