Answer:
In statistics, scientists or researchers gather data to represent the existing number of population audience that they should target. Statisticians usually lump these data and present them in terms of mean, median or mode. To be more accurate, percentage could also be used. Percentage is generally defined as the number of a specific parameter per 100 units of the whole. In this case, the percentage is defined as the number of students per 100 people of the whole population. The working equation to be used is:
Percentage = Number of Students/Number of Population * 100%
Percentage = 9,860/62,400 * 100
Percentage = 15.8%
Hence, out of the total population, 15.8% are students.
or
Number of students = 9860
Total Population = 62,400
Percentage of students in the population can be calculated by:
(Number of students/Total population) x 100%
Using the values, we get:
Percentage of students = (9860/62400) x 100% = 15.80%
Thus, students constitute 15.80% of the entire population
Marisol is being paid $792 to provide nutrition counseling, It took her 8 hours more than she expected, so
she earned $4 per hour less than she originally calculated. How long had she anticipated it would take to do
the job?
Answer: 44 hours.
Step-by-step explanation:
Marisol is being paid $792.
We know that the job took her 8 hours more than she expected, so if we define T as the time she expected, this job took her:
T + 8 hours.
The amount of money per hour that she expected is calculated as:
$792/T = X
And for those 8 extra hours, she won $4 less per hour, then we have:
$792/(T + 8hs) = X - $4
Then we have a system of equations:
$792/T = X
$792/(T + 8hs) = X - $4
To solve this, we can notice that in the first equation X is isolated, then we could replace that in the second equation to get:
$792/(T + 8hs) = $792/T - $4
Now we can solve this for T.
$792 = ($792/T - $4)*(T + 8hs) = $792 + $792*(8hs/T) - $4*T + $32*hs
0 = $792*(8hs/T) - $4*T + $32*hs
Let´s multiply this both sides by T
0*T = ($792*(8hs/T) - $4*T + $32*hs)*T
0 = $792*8hs - $4*T^2 +$32*T*hs
This is a quadratic equation, where i will write this witout units so it is easier to read and follow:
0 = -4*T^2 + 32*T + 792*8
The solutions cab be found by using the Bhaskara´s formula, these are:
[tex]T = \frac{-32 +- \sqrt[2]{(32^2 - 4*(-4)*(792*8)} }{2*-4} = \frac{-32 +-320}{-8}[/tex]
Then the solutions are:
T = (-32 + 320)/-8 = -36 hours (This is a negative time, and it does not really have a meaning in this problem, so we can discard this option)
The other solution is:
T = (-32 - 320)/-8 = 44 hours.
Then we can conclude that she expected the job would take 44 hours in total.
question 14
if QS is an angle bisector of PQR and PQR = 140, find the measurement of PQS
Answer:
[tex]B.\angle PQS=70[/tex]
Step-by-step explanation:
[tex]We\ are\ given\ that,\\QS\ is\ the\ angle\ bisector\ of\ \angle PQR\\\angle PQR=140\\Hence,\\QS\ bisects\ \angle PQR\ into\ \angle PQS\ and\ \angle SQR\ which\ are\ both\ equal.\\Hence,\\\angle PQS\ = \angle SQR\\As\ \angle PQR=\angle PQS\ + \angle SQR\\140=\angle PQS\ + \angle SQR\\As\ \angle PQS\ = \angle SQR [Proven]\\140=\angle PQS\ + \angle PQS\\Hence,\\140=2\angle PQS\\\angle PQS=\frac{140}{2} \\\angle PQS=70[/tex]
Please help! :DD CORRECT ANSWERS ONLY!
Sara has $180 to spend on a mixture of oranges and bananas. The oranges cost $3 per pound and the bananas cost $2 per pound. What equation can she use to graph a line showing the different amounts of oranges and bananas she can buy for $180?
Explain what does each elements of the equation represent.
pleasee guys i need help
Answer:
365
Step-by-step explanation:
2+3+180+180=
PLEASE I NEED HELP NOW ANSWER ALL 4 QUESTIONS FOR 20 POINTS!!!
Answer:
Steak:$38
Chicken:$24.75
Fish:$16.31
Total:$79.06
Step-by-step explanation:
8 x 3 1/2 = 8 x 7/2 = 56/2 = 28
4 2/4 x 5.50 = 4 2/4 x 5 1/2 = 18/4 x 11/2 = 198/8 = 24 6/8 = 24.75
2 1/4 x 7.25 = 2 1/4 x 7 1/4 = 9/4 x 29/4 = 261/16 = 16 5/16 = 16.312 (round it and get 16.31)
38 + 24.75 + 16.31 = 79.06
What is the 70th term of the sequence 5, 7, 9, 11
Answer:
5 7 9 11 13 15 17 19 21 23 25 27 29 31 33 35 37 39 41 43 45 47 49 51 53 55 57 59 61 63 65 67 69 71 73 75 77 79 81 83 85 87 89 91 93 95 97 99 101 103 105 107 109 110 113 115 117 119 121 123 125 127 129 131 133 135 137 139 141 143 145 147 149 151 i think this should do just count them
what is the solution to the system of equations?
A(7, 4 )
B(7, 13/3 )
C(8, 14/3 )
D(9, 7)
Answer:
d
Step-by-step explanation:
Which type of data is BEST described by a continuous model?
A)
pets owned
B)
height of boys
C)
girls in school
D)
crimes reported
It's b
Answer: b
step-by-step explanation:
How many terms are in this expression?,,,, -2x + 3y - 4
Solve and explain (x^2+2xy+y^2)(x+1)
A. x^3 + 2x^2y + x^2 + y^2 + xy^2
B. x^2 + 2xy+ y^2
C. x^3 + x^2 + 2x^2y + xy^2 + y^2 + 2xy
D. x^2 + y^2 + 2xy + x + 1
answer is A
x^3 + 2x^2y + x^2 + y^2 + xy^2
Answer:
answer would be C.
Step-by-step explanation:
mUsing the distributive property.
Find the greatest common factor of the terms in the following expression 18x+12xy
=============================================
Explanation:
Ignoring the variables for now, the GCF of 18 and 12 is 6. This is the largest factor found in both values
18 = 6*312 = 6*2Now let's consider the variables. Both terms have an 'x' in them, but not a y. This means x will be tacked on the 6 we found earlier to get the overall GCF to be 6x.
Note how
18x + 12xy = 6x*3+6x*2y = 6x(3+2y)
Showing we can factor out the GCF using the distributive property.
+
+
+
b
a
0
C
All of the following statements are all true except
The quotient of a and b is positive.
The quotient of O and cis O.
The quotient of cand bis negative.
The quotient of O and a is undefined.
Answer:
4. The quotient of 0 and a is undefined.
Step-by-step explanation:
Let's examine each statement to see which is true or untrue.
✔️Statement 1:
a is a negative number. b is also a negative number. A negative number dividing another negative number would give us a positive number. That is the quotient of a and b would be positive.
Statement 1 is true.
✔️Statement 2:
Dividing 0 by any number would always give us 0. Therefore the quotient of 0 and c would be 0.
Statement 2 is correct.
✔️Statement 3:
c is a positive number. b is negative number. Positive divided by negative = negative.
Statement 3 is correct.
✔️Statement 4:
Dividing 0 by any number would give us a quotient of 0.
Statement 4 is incorrect. It is incorrect because ⁰/a = 0. But a/0 = undefined.
Find the measures of the interior angles.
Answer:
x = 13
Step-by-step explanation:
154 + 13 = 167
so 180 minus 167 and you get 13
all interior angels of a tringel should add up to 180
Calculate the amount of simple interest earned
$1,000 at 4% for 4 years
Answer:
$160
Step-by-step explanation:
A = $1,160.00
I = A - P = $160.00
Equation:
A = P(1 + rt)
Calculation:
First, converting R percent to r a decimal
r = R/100 = 4%/100 = 0.04 per year.
Solving our equation:
A = 1000(1 + (0.04 × 4)) = 1160
A = $1,160.00
The total amount accrued, principal plus interest, from simple interest on a principal of $1,000.00 at a rate of 4% per year for 4 years is $1,160.00.
Alexa bought 2 1/3 pounds of turkey for 26.25. What is the cost per pound?
Answer:
11.25
Step-by-step explanation:
Answer:
approximatly $11.25
Step-by-step explanation:
26.25/2.333333 = 11.2500000161
Which statements are true? Check all that apply.
O is greater than -2/3.
2/3 is equal to -2/3
-1 < -1/3
-2/3 > 1/3
-1/3 > - 2/3
Mr. Jones used a fair spinner divided into 4 sections as shown below. They spun the spinner 50 times and recorded the results in the table. What is the difference between the theoretical and probability of spinning a 1 and the experimental recorded in the table?
Answer:
The theoretical probability would be 25% or 1/4 because there are four sections but in the example the probability of a one being spun was 24%
Step-by-step explanation:
Evaluate 2(5 + x^2)+ y if x = 3 and y = 2
Answer:
30
Step-by-step explanation:
Start by substituting
2(5+3²) +2 = ___
Parenthesis
3²= 3 · 3 = 9
add that to 5 = 14
2(14) +2 = ___
2 times 14 = 28.
28 + 2 = 30
Answer:
30.
Step-by-step explanation:
2(5+ x^2)+ y
x=3, y=2
Using the given information for x and y and distributing that into the equation, the equation becomes:
2(5+ 3^2)+ 2
Now, use order of operations or PEMDAS (parenthesis, exponents, multiplication, division, addition, subtraction) to solve the problem.
The answer you should get is 30. :,)
$599 TV: 12% discount
Answer:
After the discount $527.12
You save $71.88
Step-by-step explanation:
What is the solution to this system of equations y=x-2 y=-0.5x+4
Answer:
Substitute y=x-2y=x−2 into y=-0.5x+4y=−0.5x+4.
x-2=-0.5x+4x−2=−0.5x+4
2 Solve for xx in x-2=-0.5x+4x−2=−0.5x+4.
x=4x=4
3 Substitute x=4x=4 into y=x-2y=x−2.
y=2y=2
4 Therefore,
\begin{aligned}&x=4\\&y=2\end{aligned}
x=4
y=2
Step-by-step explanation:
it want me to type here sooo um brainleist for the one who gibs the correct answer!!
Answer:
70 + 95 = 5(14 + 19)
Step-by-step explanation:
To factor the expression, 70 + 95, using the GCF, take the following steps:
✔️Find the prime factors of each number:
Prime factors of 70 = 2 × 5 × 7
Prime factors of 95 = 5 × 19
Multiply the factors that both numbers have in common to get the GCF.
This, both number have only one factor in common which is 5.
Therefore, the GCF of 70 and 95 is 5.
✔️Factoring the experession given using the GCF, we have:
70 + 95 = 5(14 + 19)
help me please and you will be legend and nice
Please give me the correct answer
solve the solution of the equations 10x-3y=3 and 2x+y=9
Answer:
x=1.875 y=-0.875
Step-by-step explanation:
10x-3y=3 10x-3y=3
3(2x+y)=(9)3 +6x+3y=27
1/16(16x)=(30)1/16 = x=1.875
10x-3y=3 10x-3y=3
-5(2x+y)=(9)-5 -10x-5y=4
1/-8(-8y)=(7)1/-8 = y=-0.875
Melissa runs 7 miles in 50 minutes. At the same rate, how many miles would she run in 75 minutes?
Can someone help out I’m really slow at this and don’t understand it please:)
Answer:
2) 160
3) 320
Step-by-step explanation:
you want to find out the slope so use the formula
y₂-y₁/ x₂-x₁ and plug in the numbers
320-80=240
4-1=3
divide 240/3= 80
multiply 80 * (x) so if we try and find x=2 it would be 160
80 * 3 = 240
check your work by multiplying 80 and 4 (320) which is your y value! hope this helps!
Give an example of a sequence whose first term is positive, whose second and third terms are negative, and the rest are positive.
If you are asking for just an arbitraty sequence, here it goes:
[tex]a_n=\{3,-5,-8,1,1,1,1,\dots\}[/tex]
Determine whether the given figure tessellates the plane.
a yes
b. no
Yes. Given figure tessellates the plane.
What is tessellation?"It is a pattern created with identical shapes which fit together with no gaps."
For given situation,
The figure is a hexagon.
A shape is said to tessellate the plane if the plane can be covered without holes and no overlapping (save for the boundary points) with congruent copies of the shape.
So the figure is tessellates the plane with triangles.
Learn more about tessellation here:
https://brainly.com/question/2033730
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I am offering Brainliest, A like on your answer, and a 5 star review. This should be simple, but I just don't understand.. Please, someone help.
Answer:
(-4,2)
Step-by-step explanation:
Just had the test for this thing lol.
so what you do is find the point Y.
then subtract 1 from it's x axis then add 2 to it's y axis.
work
before: (-3,0)
-1. +2
after. (-4,2)
hope this helps!
Translation: In your notebook, do the operations and answer each of the cases, mark with an arrow the shortest way to get to the treasure following the clues whose result is even.
Please help!
Step-by-step explanation:
Solo te puedo dar respuestas para algunas (lo siento) Los puse en orden, cuadros izquierdos a derechos, de los que no contestaste
3,200,000 -> 3.2x10^6 notacion cientifica
4 x 3 + 9 - 7 = 14
356 / 2 = 178
12^4/12^3 = 12
1448 / 8 = 181
78923 x 13 = 1,025,999
Segundos de 17 minutos es 60 x 17 = 1,020
10^-5 = 0.00001
3^3 = 3 x 3 x 3 = 27
3,561,201 - 104, 308 = 3,456,893
6^3 x 6^ 4 = 279, 936
Siglo actual = siglo 21