A recent math test results show a mean of 75 and a standard deviation of 3. A random test is chosen with a raw score of 86. Which of the following tests scores is better than what percentage of all scores?

TEST 1: x=65, μ=70, σ=3
TEST 2: x=80, μ=50, σ=10

A) Test 1 has the highest z-score
B) Test 2 has the highest z-score
C) Neither, the original test has a z-score 3.67 which is the highest z-score.

Answers

Answer 1

Answer:

c

Step-by-step explanation:

Answer 2

The test which scores are better than the percentage of all scores will be tested 2 and the percentage is 3. Hence, option B is correct.

What is Normal distribution?

A probability distribution that is symmetric around the mean and demonstrates that data close to the mean are more likely to occur than data distant from the mean.

As per the given information in the question,

1.

x = 65

Mean,  μ = 70

Standard deviation, σ = 3

Use the equation given below to find the percentage,

Z = (x - Mean)/Standard deviation,

Z = (64 - 70)/3

= -6/3

Z = -2

2.

x = 80

Mean,  μ = 50

Standard deviation, σ = 10

Use the equation given below to find the percentage,

Z = (x - Mean)/Standard deviation,

Z = (80 - 50)/10

= 30/10

Z = 3

Compare the values obtained, and it is clear that Test 2 got height score.

To know more about Normal Distribution:

https://brainly.com/question/15103234

#SPJ2


Related Questions

Pls help

SAS
SSS
AAS
HL

Answers

Answer:

Step-by-step explanation:

its none, if it was SAS then the 10 would be closer to the angle

Jack places the bottom of a ladder 9 feet from the wall. It is a huge 41 foot long ladder so he asks his sister Katie to help him. How far up the wall does the ladder reach?​

Answers

Answer:

40 feet

Step-by-step explanation:

Use the Pythagorean Theorem

a² + b² = c²

a² + 9² = 41²

a² + 81 = 1681

Subtract 81 from both sides

a² = 1600

Take the square root of both sides

a = 40

Solve the quadratic equation by using either a numeric or a graphic approach.
x2 - 12x – 144 = 0
a. x= -12.4 or x = -7.4
c. x = 9.4 or x = -7.5
b. x = 19.4 or x = -7.4
d. x = 9.4 or x = -3.4

Answers

Answer:

B

Step-by-step explanation:

I need help with this question​

Answers

I know the answer but first I need you to answer my math question

Yo can someone help me out

Answers

Answer:

theres an black screen

Step-by-step explanation:

mark as brainliest!!

Answer:

Cant see the image

a man swims for 30 mins at a speed of 109 m/min. How far does he swim?

Answers

The distance is meters per minute so you would multiply the distance per minute by total minutes:

109 x 30 = 3.270 total meters.

1 km = 1000 meters

3,270 meter/ 1000 meters per km = 3.27 km

They swam 3.27 km

50 POINTS!!!!

The pair of figures to the right are similar. The area of one figure is given. Find the area of the other figure to the nearest whole number. Area of the larger triangle = 145 ft

Answers

Answer:

72.2

Step-by-step explanation:

Which statement describing this experiment is true?
An experiment is proposed to measure the
effectiveness of a brand of sunscreen. Adult volunteers
are randomly assigned to one of two brands of
sunscreen and asked to enjoy a normal day at the
beach. Each volunteer is asked to report back to the
administrators after two hours, at which time both arms
are assessed for sun exposure.
O The volunteers are the explanatory variables.
O. The brands of sunscreen are the response
variables.
O The amount of time in the sun is the response
variable.
O The brands of sunscreen are the explanatory
variables.

Answers

Answer:c

Step-by-step explanation:

Answer:

B i think

Step-by-step explanation:

Stole the picture off a website (which can not be named here lol)

In a local​ election, 42,300 people voted. This was an increase of 13​% over the last election. How many people voted in the last​ election? Round to the nearest whole number.

Answers

Answer:

3253 maybe. ( I am not entirely confident with this answer)

Step-by-step explanation:

3253 maybe ( I am honestly not sure either)

A bag contains 5 1/4 pounds of nuts. The fraction of the nuts are the almonds is 1/5. How many pounds of almonds are in the bag.

Answers

Answer:

Step-by-step explanation:

⅕ of 5¼ pounds = ⅕ × 5¼

= ⅕ × 21/4

= 21/20 pounds

Gun rights vs. gun control: In a December 2014 report, "For the first time in more than two decades of Pew Research Center surveys, there is more support for gun rights than gun control." According to a Pew Research survey, 52% of Americans say that protecting gun rights is more important than controlling gun ownership. Gun rights advocates in a conservative city believe that the percentage is higher among city residents.
They survey 200 city residents and find that 130 say that protecting gun rights is more important than controlling gun ownership. What is the test statistic?
Z = -3.68
Z = 3.68
Z = -3.85
Z = 3.85

Answers

Answer:

The right answer is "z = 3.68".

Step-by-step explanation:

Given that,

p = 52%

or,

  = 0.52

n = 200

[tex]\hat{p}= \frac{130}{200}[/tex]

  [tex]= 0.65[/tex]

Now

The test statistic will be:

⇒  [tex]z=\frac{\hat{p}-p}{\sqrt{\frac{p(1-p)}{n} } }[/tex]

On substituting all the given values, we get

⇒     [tex]=\frac{0.65-0.52}{\sqrt{\frac{0.52(1-0.52)}{200} } }[/tex]

⇒      [tex]=\frac{0.13}\sqrt{{\frac{0.52\times 0.48}{200} }}[/tex]

⇒      [tex]=\frac{0.13}{\sqrt{0.001248} }[/tex]

⇒      [tex]=3.68[/tex]

Mr. Wu rides his bike at 6 mph to the bus station. He then rides the bus to work, averaging 30 mph.

If he spends 20 minutes less time on bus than on the bike, and the
distance from his house to work is 26 miles, what is the distance from
his house to bus station?

Fill out the information in the table for your convenience. Write the
equation. Solve. Show your work. Check your work

Answers

Answer:

26 mi

Step-by-step explanation:

Convert 20 min to hrs: 20/60 = 1/3 hr

:

Let t = time on the bike

then

t-(1/3) = time on the bus

:

Write a dist equation Dist = speed * time:

:

Bike dist + bus dist = 26 mi

 

6t + 30[t-(1/3)] = 26

:

6t + 30t - 10 = 26

36t = 26 + 10

36t = 36

t = 1 hr on the bike

:

6 mph for 1 h = 6 mi from house to the bus station

:

:

Check solution by finding the distance

6(1) + 30(2/3) =

6 + 20 = 26 mi

find the value of x. round to the nearest degree
Not drawn to scale

Answers

Answer:

[tex]cos x =\frac{adjacent}{hypotenuse} = \frac{11}{20}\\\\x = cos^{-1} (\frac{11}{20} ) = 56.63[/tex]

x= 57°

What would you add to 1/6 to get 2/3

Answers

I would add 1/6 to 3/6 2/3 is equal to 4/6 to 1/6 plus 3/6 is 4/6

Answer:

0.5 or [tex]\frac{1}{2}[/tex]

Step-by-step explanation:

5.6 by the power of negative 5 can someone tell me what that equals

PLZ HELP NOW

Answers

0.00018157659
hope this helps you

Answer:

0.0001815766

Step-by-step explanation:

The definition of negative exponent is  [tex]a^{-n}=\frac{1}{a^n}[/tex].  For 5.6 to the negative 5 power, write the reciprocal of 5.6 to the 5th.

[tex]5.6^{-5}=\frac{1}{5.6^5}[/tex]

A calculator can do the rest.  It can also find the decimal value directly.

A spinner is made of three equal sections blue green and red if I spend spend 180 times how many times I expect to get red as outcome

Answers

60 times

You have a 1/3 chance each spin.

1/3 = x/180
180 = 3x
x = 60

Find the length of NL.

Answers

Answer:

8

Step-by-step explanation:

By intersecting chords theorem:

[tex]4x = 2 \times 8 \\ \\ 4x = 16 \\ \\ x = \frac{16}{4} \\ \\ x = 4 \\ [/tex]

NL = 4 + x = 4 + 4 = 8

What is the mortgage loan value on a $375,000 home if 20% is paid as a
down payment?
$325000
$375000
$75000
$300,000

Answers

Answer:

$300000

Step-by-step explanation:

down-payment would $75000 so minus it from $375000 to get the mortgage

Answer:300000

Step-by-step explanation:

375000/100 =3750

1 percent = 3750

20 percent = 3750*20=75000

375000-75000= 300000

If it is helpful t

Last summer, Marion was 3 1/2 feet tall. She was 4 inches taller than her brother Elijah. She was 1 1/4 feet shorter than her sister Lorie. How tall were Elijah and Lorie last summer?

1 foot = 12 inches

Solution:

Elijah:
inches

Lorie:
inches
NO LINKS

Answers

Answer:

Answers below

Step-by-step explanation:

Marion: 42 inches

Elijah: 38 inches

Lorie: 57 inches

Convert each to inches and solve.

Hope this helps!

Solve for m.

√m-7=n+3

m = n2 + 6n + 2
m = n2 + 6n - 2
m = n2 + 6n + 16

Answers

Answer:

m= n² + 6n + 16

Step-by-step explanation:

i hope it helps

Answer:

m= n² + 6n + 16

Step-by-step explanation:

please help NO LINKS


Asia Durr is practicing her free throws for the upcoming season. She took 12 shots and made 9 shots. Predict how many free throws Asia Durr would make if she took 72 shots in the season.​

Answers

54 shots. 9 out of 12 means she is making 75% of her shots. 75% of 72 is 54.

Surface area of a triangular prism
Find the surface area of this triangular prism. Be sure to include the correct unit in your answer.
13 in
12 in
5 in
6 in

Answers

Surface area is 240 in^2

The sum of 2 numbers is 82 and one exceed the other by 40.what are the number 2​

Answers

Answer:

If you are asked to work out the product of two or more numbers, then you need to multiply the numbers together. If you are asked to find the sum of two or more numbers, then you need to add the numbers together.

Step-by-step explanation:

Patricia needs 2 pints of purple icing to decorate cupcakes. She will use the following recipe for 1 pint of purple icing.

· 1 pint of white icing

· 4 1/4 teaspoons of blue food coloring

· 2 1/2 teaspoons of red food coloring.



Explain two different ways for Patricia to find the total number of teaspoons of blue and red food coloring necessary to make the 2 pints of purple icing. (Do not solve the problem.)

Answers

Answer:

double

Step-by-step explanation:

double the teaspoons so you can get the amount you need for 2 pints

double  the amount and then divided it

The measure of ZA Is 12° greater than the measure of ZB. The two angles are complementary. Find the measure of each angle. . The mZA IS and m/B Is​

Answers

Answer:

m∡ZA = 51°

m∡ZB = 39°

Step-by-step explanation:

∡ZB = 'b'

∡ZA = '12 + b'

b + 12 + b = 90

2b + 12 = 90

2b = 78

b = 39

12 + 39 = 51

10 km = ? M ???? Pls help

Answers

Answer:

10000 meters

Step-by-step explanation:

10 km is 10000 meters

Could i get some help with this problem. 7(x-3)=49

Answers

7x-21=49, 49-21= 28/7= x= 4

Answer:

x = 10

Step-by-step explanation:

- The first thing to do is open parentheses:

7 (x - 3) = 49

7x - 21 = 49

- Then add 21 to each side:

7x - 21 = 49

7x = 70

- Now divide each side by 7:

7x = 70

x = 10

helppppppppppppppppp

Answers

Answer:

6.4

Step-by-step explanation:

The Pythagorean Theorem says that in a right triangle,

[tex](\text{leg})^2+(\text{leg})^2=(\text{hypotenuse})^2[/tex].

In this problem,

[tex]a^2+b^2=c^2\\\\4^2+5^2=c^2\\\\16+25=c^2\\\\41=c^2\\\\c=\sqrt{41} \approx 6.4[/tex]

∠DGC and ∠CGB are □ angles.

Adjacent
Complementary
Supplementary
Vertical

Answers

Answer:

angle DGC and angle CGB are adjacent angles

The space club is printing posters for an upcoming competition. The
printer charges $200 plus $2 for every poster. How many posters can be
printed for $950?

Answers

Answer:

375 posters can be printed for $950

Step-by-step explanation:

First, create an equation. X = number of posters: 200+2x=950

Second, subtract 200 from both sides to get an equation of: 2x=750

Third, divide 2 on both sides to get: x = 375

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