The mean score of the maths test is 70 with a standard deviation if 12. Calculate the z-score of a student who got 55 marks. Interpret the result.

Answers

Answer 1

Answer:

Z = -1.2 ( It is below the group mean), The sudent performed less than average.

Step-by-step explanation:

From the question,

Applying

Z = (x-μ)/σ........................ Equation 1

Where Z = z-score,  x = observed score or raw score, μ = mean of the score, σ = standard deviation of the score

Given: x = 55 marks, μ = 70, σ = 12

Substitute these values into equation 1

Z = (55-70)/12

Z = -15/12

Z = -1.25

Hence the z- score is negative, meaning it is below the group mean, I.e the student who get 55 marks, performed less than average


Related Questions

HELP PLEASE DIJDIDJD IM NOT THAT SMART
here's the question

Mr. Aguirre rented an apartment, The security deposit was 40% of one month's rent. If the security deposit was $200, how much money does one month's rent cost?

I have to put the answer in a place value.​

Answers

Answer: 500

Step-by-step explanation:

200 is 40% of 500

The seventh grade class is putting on a variety show to raise
money. If they charge $15 for each ticket, how many tickets de
they need to sell in order to raise at least $1000?

Answers

at least 67 tickets I think

What is the area of this trapezoid? ​

Answers

Answer:

80

Step-by-step explanation:

A football team had a total of 33 players. One third of the players were seniors. How many players were underclassmen?

Answers

Answer:

22

Step-by-step explanation:

1/3 of 33=11

11=number of seniors

2/3 of 33=22

22+11=33

22=number of underclassmen

plz can i get brainliest:)

plz help i really ned help

Answers

Answer:yes

57

Step-by-step explanation:

3x+6=21 what is the value of x

Answers

Answer:

[tex]3x + 6 = 21 \\ 3x = 21 - 6 \\ 3x = 15 \\ x = \frac{15}{3} \\ x = 5[/tex]

Answer: x=5

Step-by-step explanation:

step 1:

put all the coefficients on one side and all the variables on the other, 3x=21-6

step 2:  solve the sides, 3x=15

step 3: divide, 3x/3= 15/3

step 4: simplify: x=5

hello please help thanks

Answers

Answer:

evaporation

Step-by-step explanation:

ur welcome

evaporation because that is also how it rains

Someone please help me ! Its past due and Ive been busy.. D:
( I didnt mean to click the first answer lol, sorry! <3 )

Answers

Answer:

It's okay the first answer is right, $0.15

The store makes $4.20 off the rope

Step-by-step explanation:

11.
Simplify the expression.
(10 - 4² - 4
Plz help

Answers


The equation simplified gives you the answer of -10

Brent runs around a football field ,14m long and 12m inside. How much metre does Brent need in two laps

Answers

Answer:

Distance cover by Brent in 2 Lap = 104 meter

Step-by-step explanation:

Given:

Length of football field = 14 m

Width of football field = 12 m

Find:

Distance cover by Brent in 2 Lap

Computation:

Distance cover by Brent in 2 Lap = 2 x Perimeter of rectangular field

Perimeter of rectangle = 2[l+b]

Perimeter of rectangular field = 2[14 + 12]

Perimeter of rectangular field = 2[26]

Perimeter of rectangular field = 52 m

Distance cover by Brent in 2 Lap = 2 x Perimeter of rectangular field

Distance cover by Brent in 2 Lap = 2 x 52

Distance cover by Brent in 2 Lap = 104 meter

Please answer correctly !!!!!!!!!!!!!! Will mark Brianliest !!!!!!!!!!!!!!!!!!!!

Answers

Answer:

1:3

Step-by-step explanation:

1 square is to three triangles

Answer:

4:1

Step-by-step explanation:

Simplify. 14 can go to 4, 4 can go to 1. Therefore: 4:1 ratio.

if i was nine years old an 2002 what age will i be and 2018

Answers

Answer:

25

Step-by-step explanation:

2018-2002 is 16 years.

Then add 16 to 9 to get 25!

Chloe has 3 red pencils, 5 blue pencils, and 1 yellow pencil in her backpack . She chooses one pencil at random, puts it back, and then chooses another pencil .

Answers

Answer:

then she only has eight pencils in the bag.

Step-by-step explanation:

Answer:

Eight

Step-by-step explanation:

The times to pop a regular bag of microwave popcorn without burning it are Normally distributed with a mean time
of 140 seconds and a standard deviation of 20 seconds. The times to pop a mini bag of microwave popcorn
without burning it are Normally distributed with a mean time of 90 seconds and a standard deviation of 15
seconds. Suppose two independent random samples, 25 of each, are taken and the mean popping times are
calculated. Let R = the popping time of a randomly selected regular-sized bag and M = the popping time of a mini-
sized bag. Which of the following best describes the standard deviation of the sampling distribution of 5-7 ?
1 second
5 seconds
25 seconds
35 seconds

Answers

Answer:

3

Step-by-step explanation:

Approximately normal with mean of 140 seconds and standard deviation of 10 seconds.

What is Central Limit Theorem:?

The Central Limit Theorem establishes that, for a normally distributed random variable X, with mean  and standard deviation , the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean.

here, we have,

Given,

In the question:

The times to pop a regular bag of microwave popcorn without burning it are Normally distributed with a mean time of 140 seconds and a standard deviation of 20 seconds. The times to pop a mini bag of microwave popcorn without burning it are Normally distributed with a mean time of 90 seconds and a standard deviation of 15 seconds.

For a skewed variable, the Central Limit Theorem can also be applied, as long as n is at least 30.

Mean of 140, standard deviation of 20, sample of 4:

By the Central Limit Theorem, the distribution is approximately normal.

Mean is the same, of 140.

n = 4 , σ = 20, thus:

s = σ /√n  

 = 20/√4

 = 10

Thus, the correct answer is:

Approximately normal with mean of 140 seconds and standard deviation of 10 seconds.

Learn more about Central limit theorem at:

brainly.com/question/18403552

#SPJ5

For the GJW Clean Up event, Ms. Baran spent $37.95 on 23 packets of hand wipes for
her team of volunteers. What was the price of each packet think unit rate/price)?
Pls I need help on this quick

Answers

1.65 dollars for each packet

Plzzzzzzzzzzz my marking period ends in 3 days, I’m crying plzzz help
No links please and thank you

Answers

Answer:

Step-by-step explanation:

(find the percent by multiplying the percentage, .45, by the total number of shoes = 18 shoes)

% = 45%

p = 18

w = 40

(i did 100/40 which equals to 2.5 then multiplied 2.5 by the numerator so the numerator and denominator would both be equivelant.)

18/40 = 45/100

(multiply the whole (40) by the decimal value (.45) which is equal to 18)

40 x .45 = 18

(answer)

If Ms. M has 40 pairs of shoes, 18 of those shoes are sneakers.

Solve proportion
5/2=6/x ???

Answers

Answer:

[tex]x = \frac{12}{5} = 2.4[/tex]

Answer:

5/2=6/×

Step-by-step explanation:

the answer is 12/5 or in decimal 2.4

solve for a

2a+3b=12-2(2b+a)

PLEASE SHOW WORK ILL MARK BRAINLIEST.

Answers

Answer:

a = 3 - (7/4)b

Step-by-step explanation:

Start by performing the indicated multiplication:

2a+3b=12-2(2b+a)  =>  2a+3b=12 - 4b - 2a

Next, combine like terms:  4a + 7b = 12

Isolate 4a by subtracting 7b from both sides:  

4a = 12 - 7b

Finally, divide both sides by 4:

a = 3 - (7/4)b

-12.5 would be between the numbers ___ and ___ because...

Answers

Answer:

- 12.5 would be between the numbers - 12 and - 13.

answer this question!!! :)

Answers

Answer:

X = 1

Step-by-step explanation:

You first divide each side by 3 leaving you with X+5 = 6. Then you take the 5 to the other side leaving you with X=6-5 as the 5 changes from positive to negative. So 6-5=1 so X=1

Hope this helped

-A3miz

Age:13

Divide both sides by 3
Then simplify 18 over 3 to 6
Then subtract 5 from both sides
Last simplify 6-5 to 1

These four numbers are plotted on a number line: -2/3, 5/8, -3/5, and -1/2. Which is the correct ordering on the number line from left to right?
A. -1/2, -3/5, 5/8, -2/3
B. -3/5, -2/3, -1/2, 5/8
C. -2/3, -3/5, -1/2, 5/8
D. -1/2, -3/5, -2/3, 5/8​

Answers

Answer:

-2/3 ; - 3/5 ; - 1/2 ; 5/8

Step-by-step explanation:

Given that:

We could convert the numbers to decimal to obtain a better view of the values :

-2/3 = - 0.66666

5/8 = 0.625

-3/5 = - 0.6

-1 /2 = - 0.5

Negative values are always arranged first on left of a number line.

-0.66666 < - 0.6 < - 0.5 <0.625

Hence,

-2/3 ; - 3/5 ; - 1/2 ; 5/8

6. Sara Just spent $44 to get her hair styled. She
wants to leave a 15% tip for her hairdresser. How
much should she leave for the tip?

Answers

Answer:

$6.60

Step-by-step explanation:

You'd take the total anf multiply it by your percent amount with the decimal moved two places to the left

44 * .15 = 6.60

6.60 is the answer ur looking for

Is 0.2 equivalent to 2/100

Answers

Answer:

no

Step-by-step explanation:

What is the area of this square with sides of 5x⁴y²?

Answers

Answer:

Area of given Square = 25x⁸y⁴

Step-by-step explanation:

Given:

Side of a square = 5x⁴y²

Find:

Area of given Square

Computation:

Area of Square = Side²

Area of Square = Side × Side

Area of given Square = [5x⁴y²]²

Area of given Square = [5x⁴y²] × [5x⁴y²]

Area of given Square = [5 × 5][x⁴ × x⁴][y² × y²]

Area of given Square = [25][x⁴⁺⁴][y²⁺²]

Area of given Square = [25][x⁸][y⁴]

Area of given Square = 25x⁸y⁴

Create a system of equations to represent the word problem. Then solve using the linear combination/elimination method. Show all your work. Adam's Printing Inc. has two types of printing presses: Model A and Model B. Model A can print 80 books per day and Model B can print 55 books per day. Altogether Adam has 9 printing presses. If he can print 670 books in a day, then how many of each press does he have?

Answers

Answer:

Solution given:

model A printers [a] prints=80books per day

model B printers [b] prints=55books per day

total no of printers =9

no of model A printers be x

and

no of model B printers be [9-x]

According to the question;

ax+(9-x)b=670 books

substituting value of a and b; we get

80x+(9-x)55=670

80x-55x+495=670

25x=670-495=175

x=[tex] \frac{175}{25} [/tex]=7

So;

no of model A printers =x=7

no of model B printers =9-x=9-7=2

is your answer.

Which of the following is equivalent to the expression shown below

Answers

Answer:

v^3/2

Step-by-step explanation:

(sqrt(v))^3

sqrt(v)^3

v^3/2

¿ Could you give me the answer?

Answers

Answer:

6.28cm²

Step-by-step explanation:

the radius is 1 so

2x1 x pi

2 x 3.14

6.28

12.56 cm


Explanation: circumference = pi (3.14) * radius (4cm)

What is the factored form of 25x²-64?

Answers

Answer:

25x²-64(5x)²-8²(5x-8)(5x+8)

hope it helps.

how many solutions does 2(4x+5)=8x+8

Answers

Answer:

Step-by-step explanation:

Its no soluction.

Triangle ABC has vertices A(1,4), B(-1,5), and C(1,-4). Triangle ABC is dilated and
B' is located at (-3,15). What is the y-coordinate of C'?

Answers

Answer:

-12

Step-by-step explanation:

The coordinates of B' are just 3 times the coordinates of B, so the multiplier in the dilation is 3.

C' is the point with coordinates 3 times the coordinates of C, making C'(3, -12).

The y-coordinate is -12.

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