Answer:
84563 to 3 significant figure is 85,000.
Step-by-step explanation:
In this problem, we need to round off 84563 into 3 significant figures.
Significant figures are the digits that reliable and absolutely necessary to indicate the quantity of something. If a number expressing the result of measurement of something.
In 84563, it is eighty four thousand five hundred and sixty three. It is rounded off to 3 significant figures as 85,000.
Hence, 84563 to 3 significant figures is 85,000.
The distribution of student scores on the quantitative section of the SATs have an approximately normal distribution with a mean score of 501 points, and a standard deviation of 85 points. If you randomly select one student who has taken the SAT, what is the probability that the student will have scored greater than 600 points on the quantitative section of the SATs
Answer:
0.122 = 12.2% probability that the student will have scored greater than 600 points on the quantitative section of the SATs.
Step-by-step explanation:
Normal Probability Distribution:
Problems of normal distributions can be solved using the z-score formula.
In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the z-score of a measure X is given by:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the p-value, we get the probability that the value of the measure is greater than X.
Mean score of 501 points, and a standard deviation of 85 points.
This means that [tex]\mu = 501, \sigma = 85[/tex]
What is the probability that the student will have scored greater than 600 points on the quantitative section of the SATs?
This is 1 subtracted by the p-value of Z when X = 600. So
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]Z = \frac{600 - 501}{85}[/tex]
[tex]Z = 1.165[/tex]
[tex]Z = 1.165[/tex] has a p-value of 0.878.
1 - 0.878 = 0.122
0.122 = 12.2% probability that the student will have scored greater than 600 points on the quantitative section of the SATs.
Solve the inequality: a - 4 <10
Α. α >14
B. a < 14
C. a <-14
D. a > 6
E. a<6
HELP!!
==================================================
Explanation:
Add 4 to both sides
a-4 < 10
a-4+4 < 10+4
a < 14
The reason why we add 4 to both sides is to undo the "minus 4" that's happening to the variable.
Which equation represents the line that passes through the points (-4, 0) and (0, 6)
Answer:
y = 1.5x + 6
Step-by-step explanation:
Given the following data;
Points on the x-axis (x1, x2) = (-4, 0)
Points on the y-axis (y1, y2) = (0, 6)
To find the equation of line;
First of all, we would determine the slope of the line.
Mathematically, slope is given by the formula;
[tex] Slope = \frac{Change \; in \; y \; axis}{Change \; in \; x \; axis} [/tex]
[tex] Slope, m = \frac {y_{2} - y_{1}}{x_{2} - x_{1}} [/tex]
Substituting into the equation, we have;
[tex] Slope, m = \frac {6 - 0}{0 - (-4)} [/tex]
[tex] Slope, m = \frac {6}{4} [/tex]
Slope, m = 1.5
To find the equation of line, we would use the following formula;
y - y1 = m(x - x1)
Substituting into the formula, we have;
y - 0 = 1.5(x - (-4))
y = 1.5x + 6
Can somebody please help me. I am really stuck and the tutor option really isn’t working!!!!
Answer:
its fourth one in my opinoin
Rebecca’s service charge at a beauty salon was $93.60, before tax. The sales tax rate was 8%. If she added 20% of the amount before tax as a tip, how much did she pay for the whole service at the salon?
Answer:
119.77
Step-by-step explanation:
93.60x.08=7.45 tax
93.60 x .20=18.72 tip
93.60+7.45+18.72=119.77
Solve equation using addition of equality x-2=25 simplify as a integer or fraction
Answer:
x=27
Step-by-step explanation:
1. x-2=25 so add 2 to both sides x=25+2
2. 25+2= 27 so, the answer is x=27 Can you make me Brainliest
PLEASE HELP!
A news story needs to be shared 1,500,000 times in 5 days to get featured on a talk show. The exponential model y=5⋅7x represents the number of shares, y, a news story receives in x days.
About how many days will it take for a news story to reach 1,500,000 shares?
Answer:
It will take 8.17 days for a news story to reach 1,500,000 shares.
Step-by-step explanation:
Note: The correct exponential model is as follows:
y = 5⋅7^x ......................................... (1)
Where:
y = 1,500,000
x = ?
Substituting y = 1,500,000 into equation (1), we have:
1,500,000 = 5⋅7^x ........................ (2)
Taking the natural log of both sides of equation (2) and solve for x, we have:
ln1,500,000 = xln5.7
x = ln1,500,000 / ln5.7
x = 14.2209756660724 / 1.7404661748405
x = 8.17241379310345
Approximating to 2 decimall places, we have:
x = 8.17
Therefore, it will take 8.17 days for a news story to reach 1,500,000 shares.
Estadística: Luego de entrevistar a diez de los pasajeros que viajaba en el bus que chocó intempestivamente contra un poste, se concluyó que el chofer era inocente. Identifica la población, la muestra, variable y el tipo de variable.
Respuesta:
Población = Todos los pasajeros en el autobús
Muestra = los 10 pasajeros entrevistados
Variable = inocencia del conductor; por tanto es una variable cualitativa
Explicación paso a paso:
La población se refiere a todo el conjunto de observaciones que están relacionadas con un evento o experimento en particular. Aquí, todos los pasajeros del vehículo constituyen la población, ya que nuestra investigación se basa en el vehículo.
La muestra es un subconjunto de la población que generalmente se elige al azar de manera que sea representativa de la población.
La variable que pretendemos medir es si el conductor es inocente o no. Por lo tanto, llamamos a esto la variable medida. Debido a que la culpa o la inocencia no es numérica, se considera una variable cualitativa.
Find the area of the shape
Help quick plss
Answer:
7.14 in²
Step-by-step explanation:
A = LW
A = 2 x 2 = 4
-----------------------------------------------------------------------------------------------------------------
A = 3.14r²
A = 3.14 (1²)
A = 3.14 (1)
A = 3.14
-----------------------------------------------------------------------------------------------------------------
3.14 + 4 = 7.14
Help plz ! find the measure of the central angle of an arc with length 5pi units and radius of 4.5 units
Answer:
Angle of Arc θ = 200°
Step-by-step explanation:
Given:
Length of arc = 5π
Radius of circle = 4.5 unit
Find:
Angle of Arc θ
Computation:
Using length of arc formula
Length of arc = [θ/360][2πr]
Putting value or length of arc and radius in given formula;
5π = [θ/360][(2)π(4.5)]
5π = [θ/360][9π]
5 = [θ/360][9]
5 = [θ/40]
θ = 40 x 5
θ = 200
Angle of Arc θ = 200°
What is the smallest number that can be divided by 3,9,12 without a remainder
Answer:
36
Step-by-step explanation:
Factor each into prime numbers
3 = 3
9 = 3 * 3
12 = 2 * 2 * 3
least common multiple
product of greatest number of different primes in any of the numbers
3 * 3 * 2 * 2
36
Answer:
LCM = 36
Step-by-step explanation:
Basically you want to find LCM which is the Least Common Multiple. This is the process of coming up with the smallest positive multiple that is common to two or more numbers.
Look up how to solve using cake ladder method. Basically you are going to list all numbers and use the same number to divide them in whole number without remainder. You do this until you encounter a point where you cannot further divide without remainder. Then you multiply the left most column and last row.
I have listed the process below and answer is 36 (multiply the left most column and last row. )
What is the missing side length in the triangle below?
Answer:
Step-by-step explanation:
pythagoras theorem
a^2+b^2=c^2
21^2+b^2=29^2
441+b^2=841
b^2=841-441
b^2=400
b=[tex]\sqrt{400[/tex]
b=20
therefore the length of a missing side is 20.
Answer:
20
Step-by-step explanation:
Use Pythagorean theorem. A^2+B^2=C^2
29 is the hypotenuse.
21^2+x^2=29^2
x=20
© PLAY
STOP
5
Madeline says that the two expressions 4(5 + x) and 20+ x equivalent.
(a)
Is Madeline correct?
A
Yes
B
No
Answer:
B No
Step-by-step explanation:
4(5 + x)
To simplify the expression, we must use the distributive property. We need to multiply 4 by the each of the two terms inside the parentheses.
4(5 + x) = 4 × 5 + 4 × x = 20 + 4x
20 + 4x is equivalent to 4(5 + x).
20 + x is not equivalent to 20 + 4x, so 20 + x is incorrect.
Answer: B No
When the daughter was born, the parents planted tree A. When the son was born, they planted the tree B. tree A and tree B combined have been growing for 18 years. What age will the daughter and the son be after 1 year?
Answer:
I’m pretty sure 19 years old.
Step-by-step explanation:
Hope I could help
How do you write 6.00 × 10–5 in standard form?
Answer:
[tex]60x-5[/tex]
Step-by-step explanation:
Multiply 10 by 6
60x - 5
If there are 1,800 members in the gym, how many are men?
Answer:
1050
Step-by-step explanation:
Which company would cost the most to serve
300 students?
Click on the correct answer.
Company B
Company C
Company A
Answer:
Company a
Step-by-step explanation:
I got it right on the test for plato <3
I WILL GIVE U BRAINLIEST AND THANKS AND 5 STARS
please help this is very important
this is a big part of my grade
Answer:
They are both wrong
Step-by-step explanation:
exponents are repeated multiplication. so it would be 2*2*2*2... that 28 times.
Find the area of a regular heptagon with a side length of 14 units. Use 2 decimal places
in your calculations.
Answer:
Area of heptagon = 712.26 square units
Step-by-step explanation:
Given the following data;
Side length = 14 units
A heptagon is a polygon with seven sides.
Mathematically, the area of a heptagon is given by the formula;
Area of heptagon = 3.634a²
Where;
a represents the side length.
Area of heptagon = 3.634 * 14²
Area of heptagon = 3.634 * 196
Area of heptagon = 712.26 square units
Cindy buys a boat for $15,000. This will be a simple interest
loan at 5.5% for 10 years. What is the interest on the loan?
Answer:
$8,250
Step-by-step explanation:
I = prt
I = ($15,000)(0.055)(10)
I = $8,250
The interest on the loan is $8250.00
The formula for determining simple interest is : loan amount x time x interest rate
Loan is the amount of money that Cindy borrowed. It is $15,000
interest rate = 5.5%
Time is the length of period of the loan. This is 10 years
$15,000 X 0.055x 10 = $8250
To learn more about simple interest, please check: https://brainly.com/question/9352088?referrer=searchResults
Find the value of x in the figure at the right. Please help!
9514 1404 393
Answer:
x° = 88°
Step-by-step explanation:
The sum of interior angles of a hexagon is 180°(6 -2) = 720°. The unknown angle is found by subtracting known angles from the total.
x° = 720° -172° -120° -95° -120° -125°
x° = 88°
Answer:
[tex]\large \sf {\underline{\underline{ \fcolorbox{j}{g}{x = 88 °}}}}[/tex]
Step-by-step explanation:
We know that
➟ The sum of interior angles of a hexagon is 180° × ( 6 - 2 ) = 720 °
Now add all the angles that are given in the question and subtract from the total angles and we get the unknown number .
let unknown number be x.
720 ° - 172 ° + 120 ° + 120 ° + 125 ° + 95 ° = x °720 ° - 632 ° = x°88 ° = x–––––––––☆––––––––––Solve
4x > 16
..............
Answer:
256. fffddddddssddddd
PLWASE HELP WILL MARK BRAINLIST
Answer:
16 in
Step-by-step explanation:
Because you multiply 4in by 3in and you get 12 in. and you subtract 3in by 1in to get the height for the smaller box and you get 2in so multiply 2in by 2in to get 4in and add your products to 12in and 4 in to get 16 in!
Hope this helps!
Which lists all of the y-intercepts of the continuous
function in the table?
O (0,0)
O (-1,0), (2, 0)
O (-1,0), (0, 0)
O (-1,0), (0, 0), (2, 0)
Answer: (0,0)
Step-by-step explanation:
got it correct
The value of y-intercept of the given function is (0,0).
What is an expression?Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.
Since, We know that;
When a function intersects the y-axis then the point of intersection is called y-intercept of the function,
Also, for y-intercept x = 0.
That is, if f(x) is the function then its y-intercept is (0, f(0) )
By the given table for x = 0, f(x) = 0
Hence, tWhen a function intersects the y-axis then the point of intersection is called y-intercept of the function,
Also, for y-intercept x = 0.
That is, if f(x) is the function then its y-intercept is (0, f(0) )
By the given table for x = 0, f(x) = 0
Hence, the y-intercept of the given function is (0,0),
Thus, The value of y-intercept of the given function is (0,0).
Learn more about the mathematical expression visit:
brainly.com/question/1859113
#SPJ7
The width of a rectangle is 5 times its length. The perimeter is
53.
Find the width and length of the rectangle.
HELP. MATH FINAL DUE SOON....
Answer:
L = x
W = 5x
P = 2 (L + W)
53 = 2(x + 5x)
53 = 2(6x)
53 = 12x
x = 4/5/12
L = 4/5/12
W = 22/1/12
What is the quotient of Two-thirds and StartFraction 2 Over 9 EndFraction?
Answer:
3.
Step-by-step explanation:
2/3 / 2/9
= 2/3 * 9/2
= 18/6
= 3.
What is the distance between points W
and X to the nearest hundredth?
AY
8
W
4
х
-8
-4
o
4
00
-4
-8
*
0 24
O 16.97
8.49
O 12
Answer:
Step-by-step explanation:
W=(-6,4)
X=(6,-8)
here, x1=-6 , y1=4 , x2=6 , y2=-8
use formula
[tex]\sqrt{)x2-x1)^2+(y2-y1)^2}[/tex]
[tex]\sqrt{(6+6)^2+(-8-4)^2}[/tex]
[tex]\sqrt{12^2+(-12)^2[/tex]
[tex]\sqrt{144+144[/tex]
[tex]\sqrt{288[/tex]
16.97
Solve the equation 8 - 12 = 20. S = ?
Answer:
This is the answer that I got.
s= - 1/5
Step-by-step explanation:
see the steps below:)
Please answer this question for me
y - 4.6 = 12
Pls help
Answer:
y = 16.6
Step-by-step explanation:
y - 4.6 = 12
Add 4.6 to each side
y - 4.6+4.6 = 12+4.6
y = 16.6