1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
musickatia [10]
3 years ago
14

Calculate the data value that corresponds to each of the following z-scores.

Mathematics
1 answer:
Fynjy0 [20]3 years ago
6 0

Answer:

a) 90.1

b) $35.6

c) 3.0915 hours

Step-by-step explanation:

The z-score measures how many standard deviations a score X is above or below the mean.

It is given by the following formula:

Z = \frac{X - \mu}{\sigma}

In which \mu is the mean and \sigma is the standard deviaition.

In all three cases, we have to find X

a. Final exam scores: Allison’s z-score = 2.30, μ = 74, σ = 7.

Z = \frac{X - \mu}{\sigma}

2.30 = \frac{X - 74}{7}

X - 74 = 7*2.3

X = 90.1

b. Weekly grocery bill: James’ z-score = –1.45, μ = $53, σ = $12.

Z = \frac{X - \mu}{\sigma}

-1.45 = \frac{X - 53}{12}

X - 53 = -1.45*12

X = 35.6

Mean and standard deviation in dollars, so the answer also in dollars.

c. Daily video game play time: Eric’s z-score = –0.79, μ = 4.00 hours, σ = 1.15 hours.

Z = \frac{X - \mu}{\sigma}

-0.79 = \frac{X - 4}{1.15}

X - 4 = -0.79*1.15

X = 3.0915

Mean and standard deviation in hours, answer in hours.

You might be interested in
HELPPPPPP this is due tonight!!!!
laiz [17]

Answer:

(1) Commutative property

(2) Distributive property/Definition of addition

(3) Compatibility with addition/Existence of additive inverse/Modulative property

(4) Compatibility with multiplication/Associative property/Definition of division/Existence of additive inverse/Commutative and modulative properties/Result

Step-by-step explanation:

We proceed to solve algebraically and explain each step:

1) 4\cdot x +1 +x + 3 = -11 GIven

2) 4\cdot x +x +1 + 3 = -11 Commutative property

3) (4+1)\cdot x +4 = -11 Distributive property/Definition of addition

4) 5\cdot x +4 = -11 Definition of addition

5) 5\cdot x +4 -4 = -11-4 Compatibility with addition

6) 5\cdot x = -15 Existence of additive inverse/Modulative property

7) \frac{1}{5}\cdot (5\cdot x)= \frac{1}{5}\cdot (-15) Compatibility with multiplication

8) x = - 3 Associative property/Definition of division/Existence of additive inverse/Commutative and modulative properties/Result

Hence, we have the following answers:

(1) Commutative property

(2) Distributive property/Definition of addition

(3) Compatibility with addition/Existence of additive inverse/Modulative property

(4) Compatibility with multiplication/Associative property/Definition of division/Existence of additive inverse/Commutative and modulative properties/Result

6 0
3 years ago
sue has a monthly budget of 4300 after she gets done paying bills she usually has about 3% of the money left for random items ho
LuckyWell [14K]
You have to take 3% of 4300 which is $129.
6 0
3 years ago
The first rule is subtract 6 starting from 48. The second rule is subtract 3 starting from 30. What is the second ordered pair u
Natasha2012 [34]

Answer:

(42,48)?

Step-by-step explanation:

6 0
3 years ago
Read 2 more answers
PLEASE HELP which number line represents the solution to |x-21|<3
9966 [12]

Answer:solutions, search about Complex Numbers

Step-by-step explanation:−2||=−6

−

2

|

x

|

=

−

6

||=−6−2=3

|

x

|

=

−

6

−

2

=

3

The value inside the absolute value brackets could be positive or negative and give a positive result.

()=3

(

x

)

=

3

 OR  −()=3

−

(

x

)

=

3

=3

x

=

3

 OR  =−3

x

=

−

3

On a number line, that would translate to a number line with two dots on it, one at -3 and one at +3.

7 0
3 years ago
Read 2 more answers
Lucy fills a bathroom sink with water. Is the amount of water more than one liter, about one liter, or less than one liter . Exp
seropon [69]
More than one liter because it only depends how bog your sink is...I believe it is more than one liter
6 0
3 years ago
Other questions:
  • What is the rational number between -1/6 and -2/6
    14·1 answer
  • Solve each polynomial equation by factoring 4x^3+7x^2-5x=6
    11·1 answer
  • What is the value of X? Make sure to show all of your work!
    7·1 answer
  • Factor this polynomial. -3x^2-5x-2
    6·1 answer
  • Determine whether the given vectors are orthogonal, parallel or neither. (a) u=[-3,9,6], v=[4,-12,-8,], (b) u=[1,-1,2] v=[2,-1,1
    10·2 answers
  • What's the measure of Z1 if Z CBD = 75° and ZABC = 135°?
    10·2 answers
  • David says that he can apply the commutative and
    7·1 answer
  • Pleaseeee answer quickly i need it
    13·1 answer
  • PLZ HELP ME WITH THIS, IT COMES WITH AN EXAMPLE AND A QUESTION!?!!?
    10·2 answers
  • The triangles shown below must be congruent<br> A. True<br> B. False
    10·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!