Angela took a general aptitude test and scored in the 83rd percentile for aptitude in accounting.
(a) What percentage of the scores were at or below her score?
(b) What percentage was above her score?

Answers

Answer 1

Answer:

(a) 83% of the scores were at or below her score.

(b) 17% was above her score.

Step-by-step explanation:

Given that:

Percentile score of Angela in the general aptitude test = 83rd percentile

To find:

a) Percentage of scores which were at or below her score?

b) Percentage of score which were above her score?

Solution:

First of all, let us learn about the term "Percentile"

Percentile is the value below which the certain percent of people/marks fall.

Therefore, when we say percentile of someone's score is [tex]x[/tex], then there are [tex]x\%[/tex] of scores are at the same level or below.

And [tex](100-x)\%[/tex] of the scores are above this level.

Therefore, we can say that:

83% of the scores were at the same level or below the score of Angela.

And [tex](100-83)\% = 17\%[/tex] of the scores were above the score of Angela.


Related Questions

Antony and lily started moving in opposite directions from the same point at the same time. If Antony was biking with an average 12 mph speed and Lily was walking by 4 mph, how soon the distance between them will be 76 miles?

Answers

4 hours and 45 minutes

The number of miles increasing each

hour is 16, 16 times 4 is 64, and to get

to 76, you add an extra 3/4 of an hour

which is 45 minutes.

Hope it helps!

A recent poll of 1500 new home buyers found that 60% hired a moving company to help them move to their new home. Find the margin of error for this poll if we want 95% confidence in our estimate of the percentage of new home buyers who hired movers.

Answers

Answer:

The margin of error M.O.E = 2.5%

Step-by-step explanation:

Given that;

The sample size = 1500

The sample proportion [tex]\hat p[/tex] = 0.60

Confidencce interval = 0.95

The level of significance ∝ = 1 - C.I

= 1 - 0.95

= 0.05

The critical value:

[tex]Z_{\alpha/2} = Z_{0.05/2} \\ \\ Z_{0.025} = 1.96[/tex] (From the z tables)

The margin of error is calculated by using the formula:

[tex]M.O.E = Z_{\alpha/2} \times \sqrt{\dfrac{\hat p(1 -\hat p)}{n}}[/tex]

[tex]M.O.E = 1.96 \times \sqrt{\dfrac{\hat 0.60(1 -0.60)}{1500}}[/tex]

[tex]M.O.E = 1.96 \times \sqrt{\dfrac{0.24}{1500}}[/tex]

[tex]M.O.E = 1.96 \times \sqrt{1.6 \times 10^{-4}}[/tex]

M.O.E = 0.02479

M.O.E ≅ 0.025

The margin of error M.O.E = 2.5%

Quick Help! Will mark brainliest!!!

Answers

Answer:

square root of 3

Step-by-step explanation:

...................

Apply the algebra tiles to find (8x2 + 8x + 5) - (2x2 + 6x + 4).
A)
6x2 + 2x - 1
B)
6x2 + 2x + 1
6x? + 14x + 1
D)
10x2 + 2x + 1

Answers

A) 2x + 11
B) 2x + 13
not sure because you put ?
D) 2x + 21
these are the answers to your answer options but the answer to the equation in the question is 2x + 13 so your answer is B! hope this helped

rearrange w=5(3a-b) + 2 to make a the subject

Answers

Answer:

w=15a-5b+2

w+5b-2=15a

(w+5b-2)/15=a

Step-by-step explanation:

The value of a in the expression w = 5(3a - b) + 2 is a = (1 + 5b - 2)/15.

What is a numerical expression?

A numerical expression is a mathematical statement written in the form of numbers and unknown variables. We can form numerical expressions from statements.

Given an expression  w = 5(3a - b) + 2.

Now to make 'a' the subject is the same as finding the value of a.

w = 5(3a - b) + 2.

w = 15a - 5b + 2.

w + 5b - 2 = 15a.

a = (1 + 5b - 2)/15.

learn more about numerical expressions here :

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thirty
Farnsworth High School is
planning for an awards
ceremony. The gym at the
school holds 1,526 people.
There are 254 seats
already taken (42 teachers
and 212 students). How
many guests can each
student invite?

Answers

1,526-254=1,272 guests can be invited

.Write the vertex and indicate if the graph opens up or down. y = 2x2 + 8x + 3


A. (2,5) down
B. (-2,5) up
C. (-2,-5) down
D. (-2,-5) up​

Answers

Given:

The equation of the parabola is

[tex]y=2x^2+8x+3[/tex]

To find:

The vertex and check whether it opens up or down.

Solution:

We have,

[tex]y=2x^2+8x+3[/tex]

Here, leading coefficient is 2 which is a positive number. So, the parabola opens up.

The vertex of parabola [tex]f(x)=ax^2+bx+c[/tex] is

[tex]\left(\dfrac{-b}{2a},f(\dfrac{-b}{2a})\right)[/tex]

Here, a=2, b=8 and c=3.

[tex]\dfrac{-b}{2a}=\dfrac{-8}{2(2)}[/tex]

[tex]\dfrac{-b}{2a}=\dfrac{-8}{4}[/tex]

[tex]\dfrac{-b}{2a}=-2[/tex]

Putting x=-2 in the given equation.

[tex]y=2(-2)^2+8(-2)+3[/tex]

[tex]y=2(4)+(-16)+3[/tex]

[tex]y=8-16+3[/tex]

[tex]y=-5[/tex]

So, the vertex of the parabola is at (-2,-5) and parabola opens up.

Therefore, the correct option is D.

Find two prime numbers whose sum and difference are prime numbers. Pls help.

Answers

Answer:

2 and 3

2+3 = 5

3-2 = 1

is the number

2 & 3
2+3=5
3-2=1
is the number

Use the rules of exponents to simplify the expressions. Match the expression with its equivalent value.
(-2)
1.
1-21-10
32
2. 21.24
-32
3.
32
1
4.
2-

Answers

Answer:

1) [tex]\frac{(-2)^{-5}}{(-2)^{-10}}=-32[/tex]

2) [tex]2^{-1}.2^{-4} = \frac{1}{32}[/tex]

3) [tex](-\frac{1}{2} )^3.(-\frac{1}{2} )^2=-\frac{1}{32}[/tex]

4) [tex]\frac{2}{2^{-4}} = 32[/tex]

Step-by-step explanation:

1) [tex]\frac{(-2)^{-5}}{(-2)^{-10}}[/tex]

Solving using exponent rule: [tex]a^{-m}=\frac{1}{a^m}[/tex]

[tex]\frac{(-2)^{-5}}{(-2)^{-10}}\\=(-2)^{-5+10}\\=(-2)^{5}\\=-32[/tex]

So, [tex]\frac{(-2)^{-5}}{(-2)^{-10}}=-32[/tex]

2) [tex]2^{-1}.2^{-4}[/tex]

Using the exponent rule: [tex]a^m.a^n=a^{m+n}[/tex]

We have:

[tex]2^{-1}.2^{-4}\\=2^{-1-4}\\=2^{-5}[/tex]

We also know that: [tex]a^{-m}=\frac{1}{a^m}[/tex]

Using this rule:

[tex]2^{-5}\\=\frac{1}{2^5}\\=\frac{1}{32}[/tex]

So, [tex]2^{-1}.2^{-4} = \frac{1}{32}[/tex]

3) [tex](-\frac{1}{2} )^3.(-\frac{1}{2} )^2[/tex]

Solving:

[tex](-\frac{1}{2} )^3.(-\frac{1}{2} )^2\\=(-\frac{1}{8} ).(\frac{1}{4} )\\=-\frac{1}{32}[/tex]

So, [tex](-\frac{1}{2} )^3.(-\frac{1}{2} )^2=-\frac{1}{32}[/tex]

4) [tex]\frac{2}{2^{-4}}[/tex]

We know that: [tex]a^{-m}=\frac{1}{a^m}[/tex]

[tex]\frac{2}{2^{-4}}\\=2\times 2^4\\=2(16)\\=32[/tex]

So, [tex]\frac{2}{2^{-4}} = 32[/tex]

What is graph theory? Math

Answers

Graph theory is the idea and study of graphs within the field of math.
The idea and study of graphs

pls simplify 9a+3b-4a-2b

Answers

Answer:

its 5a+b don't report my answer because its correct

Step-by-step explanation:

Answer:

5a+b

Step-by-step explanation:

Write the ratio of dogs to cats in simplest form.
12 dogs, 16 cats
6 to 8
8 to 6
4 to 3
3 to 4

Answers

12/16 becomes 6/8 which later becomes 3/4.

So,

The ratio of dogs to cats in simplest form is 3:4 [Option 4]

Hope it helps!

Simplify the equation

Answers

Answer:

4¹⁵

Step-by-step explanation:

3×5=15 ....................

the answers to this question is D

need help asap pls don’t troll!!

Answers

Answer:

smallest side is HI

Step-by-step explanation:

because the opposite side of smaller angle is always small

Answer:

HI

Step-by-step explanation:

Which point represents (-6, pi/12)?

Answers

Answer: C

Step-by-step explanation: C

The point on the polar coordinate that represents (-6, pi/12) is point C.

What is the point of the system?

The point on the polar coordinate system that is equivalent to (-6, pi/12) is point C. This is the case because the value of pi/12 can be found on the cis formation to C.

In addition, multiplying the denominator by two gives us the value of 12. So, the point on this plane that is equal to  (-6, pi/12) is point C. The polar coordinate system is one of the many ways of representing a complex function.

Learn more about the polar coordinate system here:

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Plzz help. Giving everything!!!!!!!!

Answers

Answer:

A. 25, obtuse

Step-by-step explanation:

By exterior angle theorem:

2x° = 30° + 20°

2x° = 50°

x° = 50°/2

x° = 25°

x = 25

Type of triangle: Obtuse

Help please!!!!!!!!! ​

Answers

Answer:

multiplied by 10 goes in the blank line.

Step-by-step explanation:

Choose the number of hours as 1.

The number on the y axis that is the number of miles is 10

So any time you have will be multiplied by 10 to get the total number of miles.

Thomas went to the zooe and saw an African Bush Elephant that weighed 13,000 pounds. how many tons did this elephant weigh?

Answers

Answer:

6.5 tons

Step-by-step explanation:

A ton is equal to 2000 pounds.

13000/2000 = 6.5

please help me asap​

Answers

Answer:

5 times K is 5K

Step-by-step explanation:

gujjhgvbjyijgvbn

Answer:

5k

Step-by-step explanation:

5 times k is 5k

47 I a) Find the values of Angles 1, 2, 3, and 4. Show your steps or explain your reasoning for each. ​

Answers

Angle 1 is 43 degrees
Angle 2 is 133 degrees
Angle 3 is 90 degrees
Angle 4 is 137 degrees

Angle 1 is 43 degrees because all angles inside a triangle add up to 180 degrees, so 90+47 is 137, then 180-137 is 43 degrees

Angle 2 is 133 degrees because you have to add all other angles inside a triangles except for the interior angle that is closest to the angle 2. 43 + 90 is 133

Angle 3 is 90 degrees because the right angle square is beside it, and it is a straight line. Or add other interior angles up, 47 + 43 = 90.

Angle 4 is 137 degrees because you have to add up all other interior angles other than the one that is closest to angle 4. 47 + 90 is 137.

the plane___(land) at 4 o clock this morning

Answers

Answer:

landed

landed since it has to be past tense.

Answer:

landed

Step-by-step explanation:

"this morning" suggests it is in the past tense, so past tense is needed.

I WILL GIVE BRAINLIEST

Answers

Answer:

The missing exponent is 7

What is the value of x in the equation 2(x+3) = 4(x-1)?
O 1
02
0 3
O 5

Answers

Answer:

5

Step-by-step explanation:

Actually first you would distribute. 2x+3=4x-1. Than add 1 to both sides. 2x+4=4x. Than sub 2x from both sides. 4=2x. X=2

due in an 1hr help!!

Answers

Answer:

I think its D

Step-by-step explanation:

Mark me Brainliest

3.55 x 89≈ What is it close to plz help im clueless

Answers

Answer:

315.95 or 316

Step-by-step explanation:

If you multiply it you get 315.95 but that kind of equal sign signifies and the approximate sum so 316.

What is the slop of the line contains points (1,1) and (5,-5) write a answer as friction as simplest from (hint 2/1 should be simplified to 2)

Answers

Answer:

[tex]-\frac{3}{2}[/tex]

Step-by-step explanation:

Given parameters:

Points = (1,1) and (5,-5)

Unknown:

Slope = ?

Solution:

The slope of the a line is the ratio of the rise of a line to its run.

 Slope  = [tex]\frac{y_{2} - y_{1} }{x_{2} - x_{1} }[/tex]  

x1  = 1

y1  = 1

x2  = 5

y2 = -5

  Insert the parameters and solve;

     Slope  = [tex]\frac{-5 - 1}{5-1}[/tex]   = [tex]\frac{-6}{4}[/tex]   = [tex]-\frac{3}{2}[/tex]

round 211,647 to the nearest thousand​

Answers

Answer:

...

Step-by-step explanation:

The number 211,647 rounded to the nearest thousand is 212,000. Hopefully this helps!

Answer:

212,000

Step-by-step explanation:

If we are rounding to the nearest thousand, lets take the first two digits and hide them. If we are rounding 1647 to the nearest thousand, it would be 2100. Then, add the first two digits back and now it is 212,000.

A. mg- fp sin theta
B. mg-fp cos theta
c. Mg + fp sin theta
d. mg​

Answers

Answer is d mg ...........

HOPE IT HELP....

Please answer!!! PLEASE AND THANK YOUUUUU

Answers

Answer:

X=5

Step-by-step explanation:

If figure B is a larger version of A, that means that 2 was multiplied by 2.5 to get 5. Therefore, x was multiplied by 2.5 to equal 12.5. So, if you divide 12.5 by 2.5, you will get the answer 5=x.

Hope This Helps!! ^O^

Answer:

when 2 in small figure is enlarged, it became 5, so it's multiplied by 2.5.

so, 2 x 2.5 = 5

therefore, X x 2.5 = 12.5

                 X = 12.5/2.5

                 X = 5

Hope it helped u,

pls mark as the brainliest

^_^

My Final Question! 50 points and Brainliest!
[tex]ln(x-24)+ln(x+100)=3 ln 5[/tex]

Answers

Answer:

lnx-24ln+lnx+100ln=3ln5

2lnx+76ln=3ln5

In(x-24)*(x+100)= In(5^3)

Multiply the parentheses

In(x^2+100x-24x-2400)= In(5^3)

Set the arguments equal

x^2-100x-24x-2400=5^3

Collect like terms, evaluate the power and move the constant to the left

x^2+76x-2525= 0

solve via quadratic equation

x= -76*square root of 76^2-4*2525 divided by 2*1

From that you get

-76+ or -126 divided by 2

The two solutions would be -101 or 25

but, the only answer would be 25 as -101 isn't in the defined range, and would make the statement negative


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