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scoray [572]
3 years ago
15

A standardized variable always has a mean of​ _______ and a standard deviation of​ _______. b. The​ z-score corresponding to an

observed value of a variable tells you​ _______. c. A positive​ z-score indicates that the observation is​ ______ the​ mean, whereas a negative​ z-score indicates that the observation is​ _______ the mean
Mathematics
1 answer:
Feliz [49]3 years ago
6 0

Answer:

Step-by-step explanation:

We know that normal distribution as special characteristics such as symmetry, unimodal, no skewness, mean =median=mode, etc

A standardized variable for normal variable X is

Z = \frac{x-\mu}{\sigma} will be normal with mean =0 and sigma =1

The probability will be divided equally on either side of the mean =0 i.e. y axis

Hence the answers would be

A standardized variable always has a mean of​ __0_____ and a standard deviation of​ ___1____. b. The​ z-score corresponding to an observed value of a variable tells you​ ____the std normal score.___. c. A positive​ z-score indicates that the observation is​ __to the right ____ the​ mean, whereas a negative​ z-score indicates that the observation is​ __to the left_____ the mean

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A colony of 2^120 bacteria occupies a total volume of 1.3*10^15*m^3
finlep [7]
The complete question is 
A colony of  <span>2^120 bacteria occupies a total volume of </span><span>1.3 x 10^15 m^3. The surface area of a planet is approximately 5.42 x 10^14 m^2. </span>
<span>Complete parts​ (a) and​ (b) below. </span>

<span>a) Assume that the bacteria are distributed uniformly over the​ planet's surface. How deep would the bacterial layer​ be? (You can find the approximate depth by dividing the bacteria volume by the​ planet's surface​ area.) </span>
<span>____m </span>

<span>b) Would the bacteria be​ knee-deep, more than​ knee-deep, or less than​ knee-deep? </span>

<span>A. The bacteria would be less than​ knee-deep. </span>
<span>B. The bacteria would be more than​ knee-deep. </span>
<span>C. The bacteria would be​ knee-deep. </span>
<span>D. It depends on the height of the person
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Part a) 
Find the approximate depth 
<span>= (bacteria volume / planet surface area) </span>
<span>= (1.3 x 10^15 m³) / (5.42 x 10^14 m²) </span>
<span>= 2.4 m 
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the answer Part a) is 
2.4 m

Part b) 
No information is given about the height of the 'people' on this planet, and hence we cannot guess at their average knee height. 
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therefore

the answer part b) is the option
D. It depends on the height of the person
8 0
3 years ago
Janine worked 15 hours last week. One job as a clerk in a sporting goods store paid her ​$8.47 per​ hour, while her job giving p
lorasvet [3.4K]

Answer:

she worked 9 hours at sporting goods store and 6 hours on piano lessons.

Step-by-step explanation:

total hours=15

8.47x + 17(15-x) = 178.23

8.47x + 225 - 17x = 178.23

225 - 178.23 = 17x - 8.47x

76.77 = 8.53x

x = 76.77 / 8.53

x = 9

therefore she worked 9 hours at sporting goods centre and the remaining hours (15-9) giving piano lessons.

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3 years ago
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Replace b with 7 in the binomial and simplify.


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7 + 16 = 23


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