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Nat2105 [25]
3 years ago
8

Police departments use exams as part of their promotion process and officers have to score higher than 80% of those taking the t

est to be considered for promotion. Officer #1 receives a raw score of 74 and Officer #2 receives a raw score of 68. The mean of all the exam scores is 65 with a standard deviation of 9. 1) Calculate the z score for Officer #1. Will he be promoted? 2) Calculate the z score for Officer #2. Will she be promoted? Please give the z score for each officer's exam and the result
Mathematics
1 answer:
Rashid [163]3 years ago
4 0

Answer:

z score for officer1 is 1, he will be promoted.

z score for officer2 is 0.33, she will not be promoted.

Step-by-step explanation:

Officer 1 get 74 points. O1=74

Officer 2 get 68 points. O2=68

Mean of the exam is 65 and standart deviation is 9 . M=65 and s=9

1) z-score for O1 can be found using the formula:

\frac{74-65}{9} =1

2) z-score of O2 is

\frac{68-65}{9} =0.33

Promotion is gained if an officer (O), scores higher than 80% of the officers taking the exam. This means they need to be at least in the top 20% of the exam. Therefore we look for the corresponding z score for the P(z)=0.2 which is 0.8416. Since z-score of O1 is bigger that 0.8416, he promotes. Officer2 who got 68 from the exam cannot promote since corresponding z-score is less than 0.8416

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Alishia rides her bike 45.3 km in 143 minutes. what is her average speed in kilometers per hour?
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Average speed of Alishia is 19 kilometers per hour

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1 year ago
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2 years ago
The quotient is 45 1/4 what is the divisor
vredina [299]
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4 0
3 years ago
Need help with this asap. This question confuses me​
Softa [21]

Answer:

<HKJ = 90

<FKG = 42

<FKJ = 138

<IKJ = 42

<FKH = 132

<GKI = 138

Step-by-Step :

<GKH , <HKI , and <IKJ all make up a line.  A line is 180 degrees.

90 + 48 = 138    180 - 138 = 42   <IKJ = 42

<FKG is a vertical angle to <IKJ.  Vertical angles are congruent.

<FKG = 42

<FKG and <FKJ make up a line.  A line is 180 degrees.

180 - 42 = 138    <FKJ = 138

Hope this helps.

7 0
3 years ago
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