If the mean is 382 and standard deviation is 97 then according to empirical rule 50% students scored between 285 and 479 on the exam.
Given mean of 382 and standard deviation of 97.
We have to calculate the percentage of students scored between 285 and 479 on the exam.
Percentage is a number or ratio that is expressed in terms of 100.
We have to use z statistic in this question.
z=X-μ/σ
where μ is mean and
σ is standard deviation
from 285 to 382
z=285-383/97
=-1
p value =0.1587.
From 382 to 479
z=479-382/97
=97/97
=1
p value =0.3413
Total probability from 285 to 382 is 0.3413+0.1587=0.5
Percentage=5/10*100
=50%
Hence the percentage of students scored between 285 and 479 is 50%.
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Purple Dog Pet Supply Inc. (PDPS) released its annual results and financial statements. Lucia is reading the summary in the business pages of today's paper. In its annual report this year PDPS reported a net income of $110,000. Last year, the company reported a retained earnings balance of $425,000, whereas this year it increased to $500,000. How much was paid out in dividends this year?
Answer:
$35,000
Step-by-step explanation:
The computation of the dividend amount is given below:
As we know that
Dividend Paid = Net income - Retained earnings for current year
where,
Retained earnings for current year = This year - last year
= $500,000 - $425,000
= $75,000
Now
Dividend Paid is
= $110,000 - $75,000
= $35,000
GIVING POINTS AND BRAINLIEST!!!
Step-by-step explanation:
biggest circle option C, hope it helps radius = 6 inches
Your mom purchased an antique lamp for $245. The value
of the lamp increases by 3.25% each year. Write an exponential
model that gives the value y (in dollars) of the lamp t years after
she purchased it. How much is it worth after 20 years? (Round
to the nearest whole dollar)
Answer:
y=245 * 1.035^t $487.50
Step-by-step explanation:
y=245*1.035^20
y=245*1.9898
y=487.49827
Find the GCF. (questions shown in photo)
Given:
(a) [tex]12a^2b^2c, 15a^3b^3c[/tex]
(b) [tex]2^3\cdot 3^2\cdot 7\cdot 11\text{ and }2^2\cdot 3^3\cdot 5\cdot 7[/tex]
To find:
The GCF.
Solution:
(a)
We have,
[tex]12a^2b^2c, 15a^3b^3c[/tex]
The factor forms are
[tex]12a^2b^2c=2\cdot 2\cdot 3\cdot a\cdot a\cdot b\cdot b\cdot c[/tex]
[tex]15a^3b^3c=3\cdot 5\cdot a\cdot a\cdot a\cdot b\cdot b\cdot b\cdot c[/tex]
Now,
[tex]GCF=3\cdot a\cdot a\cdot b\cdot b\cdot c[/tex]
[tex]GCF=3a^2b^2c[/tex]
Therefore, the GCF is [tex]3a^2b^2c[/tex].
(b)
We have,
[tex]2^3\cdot 3^2\cdot 7\cdot 11\text{ and }2^2\cdot 3^3\cdot 5\cdot 7[/tex]
GCF is the product of common prime factors with least power.
[tex]GCF=2^2\cdot 3^2\cdot 7[/tex]
Therefore, the GCF is [tex]2^2\cdot 3^2\cdot 7[/tex].
Can anyone please help me this these questions:
1. $.50 is what percent of $2.00
2. $.02 is what percent of $2.00
3. $2.00 is what percent of two dollars
Answer:
1.
[tex]25\%[/tex]
2.
[tex].04\%[/tex]
3.
[tex]100\%[/tex]
Answer:
1 is 25% because .50 going into 2 00 4 times or 35%
2 is 10% because 02. is 10% of 2.00
4 is 100% because its all of the 2.00
helpppp meeee plz...
Answer:
3 coefficient po
Step-by-step explanation:
sana maka tulong
Why do economists use market values when calculating GDP?
Answer:
Economists use market values when calculating GDP, because if they used quantity terms, they would have multiple units of measurement. Whereas, when they use market values, they have one unit of measurement for all products and services.
Step-by-step explanation:
Mr.Rodriguez has 1/2 cake left from his buthday party. He wants to share it among 4 people What fraction represents how much of the cake each of the 4 people will get
Answer:
Step-by-step explanation:
There is 1/2 cake left, or .5, or 50%.
.5 divided by 4 equals .125, or 1/8, of 12.5%
In fraction form, each person will receive 1/8 slice of cake.
Hope this helps!
Mark Brainliest plz!
3x-2.(x+1)=-2 denklemini sağlayan, x'in değeri kaçtır?
Answer:
3x - 2(x +1) =-2
3x - 2x - 2 =-2
x = - 2 +2
x = 0
hope it helps
in sandy religious, a doodlebug digs a cone shaped pit to trap other insects. A typical pit has a radius of 1 inch and depth of 2 inches approximately how much sand would a doodle bug move to create the pit?
( PLEASE HELP ASAP)
Answer:
its c
Step-by-step explanation:
i took the test and got 100
Determine the value of x below.
30
12
X
Answer:
138
Step-by-step explanation:
Let 30, 12 and X be the angles of a triangle
The sum of the angles in a triangle is 180degrees
Hence
30+12+X =180
42+X = 180
X = 180-42
X= 138
Hence the value of X is 138
a) Un contador, que audita los libros de un almacén por departamentos, desea confirmar las
cuentas por cobrar, como se muestra en los libros de la empresa.
b) El gobierno desea determinar el nivel de desempleo en cierta ciudad, con base en la
selección del 0,5% de sus habitantes.
c) El Banco de la Republica desea seleccionar una muestra de los bancos comerciales para
analizar los efectos del aumento de la tasa de interés con respecto a los descuentos de
prestamos en los bancos comerciales
d) Un estudiante de Contaduría desea tener una idea aproximada del valor monetario del
automóvil típico que poseen los profesores de su universidad.
e) Se quiere saber el costo de la educación. Uno de los gastos que hace un estudiante es la
compra de sus libros. Se desea conocer el costo de todos los libros comprados este año
por cada estudiante de cierto colegio.
f) Un fabricante de medicamentos desea conocer la proporción de personas cuya hipertensión
(presión alta) puede ser controlada con un nuevo producto fabricado por la compañía.
Al realizar un estudio en 6.000 pacientes hipertensos, se encontró que el 80% de ellos
pudo controlar su presión con el nuevo medicamento.
g) Según una encuesta realizada a 500 adultos mayores de la comuna de Santiago, reveló
que en promedio realizan 6 visitas anuales al consultorio. En vista de los resultados el
ministerio de salud deberá aumentar los recursos en un 10%.
Answer:
Can I please help you? i need you to translate this to english for my effort
Step-by-step explanation:
Christina wants to buy shirts that cost $17.00 each. If x represents the number of shirts Christina buys, which equation shows the amount of money (M) she will pay for the shirts?
Answer: 17x
Step-by-step explanation:
From the question, we are informed that Christina wants to buy shirts that cost $17.00 each and we are further told that x represents the number of shirts Christina buys.
The equation shows the amount of money (M) she will pay for the shirts will be gotten by multiplying the amount of the each shirt by the total number of shirts bought. This will be:
= 17 × x
M = 17x
What is the value of x?
x= 67°
hope that helps:)
Taylor is decorating for a party. She cuts 5 equal-length streamers from a strip of yellow paper that is 9 feet long. How long is each streamer in fraction form?
Answer: 1 4/5 feet
Step-by-step explanation:
Length of the strip of yellow paper = 9 feet.
Number of streamers that were cut = 5
Length of each streamer will then be:
= Length of the strip of yellow paper = 9 feet / Number of streamers that were cut
= 9 feet / 5
= 1 4/5 feet
Andre and Elena are each saving money. Andre starts with $100 in his savings account and adds $5 per week.Elena starts with $10 in her savings account and adds $20 each week.
Answer:
Andre has more money.
...what's
[tex]({1 + 2 } ) \div( 1 -2)[/tex]
Answer:
-3
Step-by-step explanation:
(1+2)/(1-2)
= 3/-1
= -3
Answer:
-3
Step-by-step explanation:
(1+2) ÷ (1-2) = 3 ÷ -1 = -3
please help me with this for brainliest
Answer:
23
Step-by-step explanation:
4^2 = 16, 16 + 7 = 13
y/-9=1/18 solve for y
Answer:
y=-1/2
Step-by-step explanation:
Please help me I posted this before using all my points and now I'm reposting it Bc no one helped me
When Sarah was 6 months old, she was 21 in. tall and her head had a diameter of 4.5 in. Now, at 20
years old, she is 6 ft. 1 in. tall and her head has a diameter of 7.65 in. If Sarah is typical, should a
person at 20 years of age be considered "similar" to herself at 6 months of age? For all parts of the
problem write an equation and solve, showing ALL the work.
a. Find the ratio of height-to-head diameter for Sarah at 6 months old. If the ratio were the
same when she was 20 years old, what diameter would her head have?
b. Find the ratio of height-to-head diameter for Sarah at 20 years old. If the ratio were the
same when she was 6 months old, how tall weld she be at 6 months?
Draw or add images here
C
How close are the two ratios you found in Part (a) and Part (b)?
d. If Sarah were taller or shorter either at 6 months of age or 20 years of age, would this make
her more or less "similar" at those two ages? Explain.
Answer:
a. ratio of height to head at 6 months old is 21/4.5 =(4.66) (the height is 4.66 times the head)
- if the ratio is the same when she is 20 she would have a head with (6ft 1in =73inches) 73/ 4.66 = 15.67 inches in diameter
b. ratio height to head at 20 yrs old = 73/7.65 = 9.54 (the height is 9.54 times the head)
-she would be about 15.6 * 4.66 = 72.70 inches tall at 20 yrs old if we the ratio at 6 months old
c. in part a ratio is 4.66, in b it is 9.54. it's a big difference
d.if she was taller at 6 months old. her head size will be smaller when she is 20 yrs compare to what we calculate.
the she was shorter at 6 months old. the ratio will be smaller and the head may have been as big as her body
Let me know if it helps, if you can please give brainliest
Solve for x. Round to the nearest tenth as needed
Step-by-step explanation:
by Pythagoras :
H²= B²+ P²
(7+x)²= x²+ 9²
49 + 14x + x² = x²+81
14x = x² -x²+81 - 49
14x = 32
x = 32/14 = 16/7 = 2.28 cm = 2.30 cm
plz mark my answer as brainlist plzzzz.
hope this will be helpful to you .
0.75 divided by 38.652
Answer:
0.019404
Step-by-step explanation:
0.75/38.652 is 0.019404.
Answer:
Divide 0.75 by 38.652 =
0.01940391
and
Divide 38.652 by 0.75 =
51.536
Step-by-step explanation:
Is it possible to construct a triangle with sides of lengths 40, 8, and 30?
Answer:
No, the two shorter sides must exceed the longer side.
Step-by-step explanation:
Can someone help me. I need to show the box method also can someone show me.
there's a 3 on the left of the box it got cut out. you jus multiply 3 by 6000, 200, 50, nd 3,, n then add the numbers tht you get in the boxes and if you see my bad handwriting, no you didnt
If f(x)=7(x-1)+8f(x)=7(x−1)+8 , what is the value of f(1)f(1) ?
Offering 30 points,, please help! will mark brainliest:)
The solution to the given linear function at f(1) when calculated gives an output value of; 8
How to Solve Linear functions?We are given the linear function represented by the equation;
f(x) = 7(x - 1) + 8
Now, to find f(1) simply means we substitute 1 for x in the given expression to obtain;
f(1) = 7(1 - 1) + 8
f(1) = 8
Thus, the solution is; f(1) = 8
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A salesperson at a jewelry store earns 8% commission each week. Last week, Ali sold $450 worth of jewelry. How much did Ali make in commission? How much did the jewelry store make from her sales?
Answer:
she earned 36$ and the store earned 409.5
Step-by-step explana
8% of 450
91% of 450
Determine whether the second polynomial is a factor of the first.
6x2 + 5x +54; x-4
Select the correct choice below and fill in the answer box to complete your choice.
O A. No, because the polynomial 6x² + 5x + 54 evaluated at 4 is equal to
OB. Yes, because the polynomial 6x + 5x +54 evaluated at - 4 is equal to
OC. No, because the polynomial 6x + 5x +54 evaluated at - 4 is equal to
OD. Yes, because the polynomial 6x + 5x + 54 evaluated at 4 is equal to
Answer:
No, because the polynomial 6x² + 5x + 54 evaluated at 4 is equal to 170.
Step-by-step explanation:
A polynomial should have a factor (let's say a) that would make the polynomial equal to zero when we substitute that factor (a) into the polynomial.
cupcakes and points for those who answer this question for me
(the screenshot)
Answer:
2.06
Step-by-step explanation:
The original decimal is 2.0625.
Since the thousandths place is 2, we can't round up. So we can keep the 6 which is in the hundredths place giving us 2.06
Solve the system of equations 2x - 2y = - 14 and 2x + 6y = - 6 by combining the equations.
sorrryy I don't know how to delete this so...
Step-by-step explanation:
step 1. first combine by subtraction.
step 2. 0x -8x = -8
step 3. y = 1
step 4. x = -6.
step 5. the answer is (-6, 1).
workout the value of 2^0
Answer:
It just equals to 2
Step-by-step explanation:
Think of it as 2^1!
1.
The value of anything that has an exponent of 0 is always 1