Answer:
At least 75% of the exam scores fall between 72 and 96.
Step-by-step explanation:
Chebyshev Theorem
The Chebyshev Theorem can also be applied to non-normal distribution. It states that:
At least 75% of the measures are within 2 standard deviations of the mean.
At least 89% of the measures are within 3 standard deviations of the mean.
An in general terms, the percentage of measures within k standard deviations of the mean is given by [tex]100(1 - \frac{1}{k^{2}})[/tex].
Apply Chebychev's Theorem to the data using k=2.
k = 2, so within 2 standard deviations of the mean, interval in which at least 75% of the measures fall.
In this question:
Mean of 84, standard deviation of 6.
84 - 2*6 = 84 - 12 = 72
84 + 2*6 = 84 + 12 = 96
At least 75% of the exam scores fall between 72 and 96.
Use the Pythagorean theorem to find the value for ( show work )
Answer:
x = 12
Step-by-step explanation:
x^2 + (x - 7)^2 = (x + 1)^2
x^2 + x^2 - 14x + 49 = x^2 + 2x + 1
x^2 - 16x + 48 = 0
(x - 4)(x - 12) = 0
x - 4 = 0 or x - 12 = 0
x = 4 or x = 12
One side has length x - 7.
For x = 4, x - 7 = 4 - 7 = -3.
Since a side of a triangle cannot have a negative length, x = 4 must be discarded.
Answer: x = 12
Evaluate the expression.
4!
Answer:
4! = 24
Step-by-step explanation:
4! = 4 * 3 * 2 * 1
4! = 24
Find the mean of the set of data: 10,12,29,2,19,42,23,23
Answer:
20
Step-by-step explanation:
mean is average
add all numbers get 160
divide by number of numbers (8) and get 20
Answer:
when you find the mean of a data set, you add all the numbers up then you divide the sum by the numbers in total. the sum is 160, you then divide by total of number which is 8 . your answer is 20. not sure if that made sense lol
help urgent please
the graphs below have the same shape. what is the equation of the blue graph?
no links please
Answer:
C. G(x) = (x+3)^3
Step-by-step explanation:
Inside the parenthesis, adding or subtracting numbers moves the shape along the x-axis. BUT signs have opposite effects. Adding a number moves the shape towards the negative side. Subtracting a number moves it to the positive side.
Some help figuring out the answer?? Also explain a little how you got there
9514 1404 393
Answer:
x = 10·cos(θ) -4·cot(θ)
Step-by-step explanation:
Apparently, we are to assume that the horizontal lines are parallel to each other.
The relevant trig relations are ...
Sin = Opposite/Hypotenuse
Cos = Adjacent/Hypotenuse
If the junction point in the middle of AB is labeled X, then we have ...
sin(θ) = 4/BX ⇒ BX = 4/sin(θ)
cos(θ) = x/XA ⇒ XA = x/cos(θ)
Then ...
BX +XA = AB = 10
Substituting for BX and XA using the above relations, we get
4/sin(θ) +x/cos(θ) = 10
Solving for x gives ...
x = (10 -4/sin(θ))·cos(θ)
x = 10·cos(θ) -4·cot(θ) . . . . . simplify
_____
We used the identity ...
cot(θ) = cos(θ)/sin(θ)
Solve x^2+14x=15 by completing the square.
The answer to your question is x=1
Answer:
-15, 1
Step-by-step explanation:
See image below:)
A milk truck carries milk with density 64.6 lb/ft3 in a horizontal cylindrical tank with diameter 8 ft.
(a) Find the force exerted by the milk on one end of the tank when the tank is full. (Round your answer to the nearest integer.) lb
(b) What if the tank is half full?
Answer:
a) 12989 Ib
b) 2756.3 Ib
Step-by-step explanation:
Density of milk = 64.6 Ib/ft^3
Diameter of tank = 8 ft
radius = 4 ft
a) Calculate force exerted by milk on one end of tank when Tank is full
pressure on strip ≈ 64.6 ( 4 - yi ) i.e. surface of milk = 4
Total force = 129.2 * [tex]\int\limits^4_4 {4-y} \sqrt{16-y^2} \, dx[/tex]
∴Force exerted = 129.2 * Area of semicircle( radius =4 ) * radius
= 129.2* 8π * 4 ≈ 12989 Ib
b) Force exerted when Tank is half full
pressure on strip ≈ 64.6 ( 0 - yi ) i.e. surface of milk = 0
Total force = 129.2 * [tex]\int\limits^0_4 {0-y} \sqrt{16-y^2} \, dx[/tex]
∴ Force exerted ≈ 2756.3 Ib
A population analysist is using the formula Pn = 25.8(1.0219)h to predict the population for Ghana, a country in Africa. What does the number in in parenthesis tell us?
Answer:
Kindly check explanation
Step-by-step explanation:
Given the formula :
Pn = 25.8(1.0219)^h to predict the population of Ghana ;
The equation given is in the form of an exponential function:
The general form of an exponential distribution :
y = ab^x
a = Initial value ; b = constant multiplier or growth or Decay factor
Comparing :
The number in parenthesis = 1.0219 = b
b = Decay or growth factor :
Since b > 1 ; then We have a growth factor;
b = 1 + rate
1.0219 = 1 + rate
Rate = 1.0219 - 1
Rate = 0.0219
Hence, the population is growing at a rate of about (0.0219)*100% = 2.19%
Get brainly if right?
10 points!
Answer:
Tn = -13n +37
ordered list is 24, 11 , -2 , -15, -28 ,-41
- 9 times the difference between a number and 86 is equal to the number plus – 48.
Answer and Step-by-step explanation:
The equation should look like this:
-9(x - 86) = x - 48
Distribute the -9.
-9x + 774 = x - 48
Add 48 and 9x to both sides of the equation.
822 = 10x
Divide both sides of the equation by 8.
82.2 = x
[tex]\frac{411}{5}[/tex] = x -- Fraction Form
#teamtrees #PAW (Plant And Water)
PROBLEM IS ABOVE PLEASE HELP
Answer:
A
Step-by-step explanation:
slant height of the exagon = side/2 * √3 = 2.5√3 cm
area of the hexagon = (side * slant height)/2 * 6 = (5 * 2.5√3)/2 * 6 = 64,951905 cm^2
Volume of the prism = area of the hexagon * height = 974,278579 cm^3
Volume of the cylinder = radius^2 * pi * height = 36 * pi * 15 = 1.696,460033 cm^3
volume of the kaleidoscope = 722,181454 cm^3
A business student is interested in estimating the 90% confidence interval for the proportion of students who bring laptops to campus. He wishes a precise estimate and is willing to draw a large sample that will keep the sample proportion within seven percentage points of the population proportion. What is the minimum sample size required by this student, given that no prior estimate of the population proportion is available
Answer:
n = 106
Step-by-step explanation:
Given
p = 0.5 and 1-p = q = 0.5
Margin of error = 0.08
Confidence level = 90%
Z score for 90% confidence level = 1.65
As we know -
Margin of error = z * Sqrt (pq/n)
Substituting the given value, we get –
0.08 = 1.65 * Sqrt (0.5*0.5/n)
Squaring both the sides and solving, we get
n = 1.65^2*0.5^2/0.08^2
n = 106.34 = 106
Nancy ate 34 ounces of cake. How much cake did she eat?
A. 1.500 lb.
B. 2.125 lb.
C. 2.500 lb.
D. 2.750 lb.
Nancy ate 34 ounces of cake. How much cake did she eat?
A. 1.500 lb.
B. 2.125 lb.
C. 2.500 lb.
D. 2.750 lb.
Answer:
the answer would be B: 2.125lb.
Answer: B; 2.125lb
Step-by-step explanation: 34 ounces to pounds is 2.13lb (rounded, the exact number is 2.125lb
If any of the graphs below have a Hamiltonian circuit, list the vertices of the complete circuit. There may be many possibilities. For full credit, just list one for each graph, if the circuit exists
9514 1404 393
Answer:
ABHGEFDCAdoes not existECBADFEStep-by-step explanation:
A Hamiltonian circuit visits each node once and returns to its start. There is no simple way to determine if such a circuit exists.
__
For graph 2, if there were a circuit, paths ACB, ADB, and AEB would all have to be on it. Inclusion of all of those requires visiting nodes A and B more than once, so the circuit cannot exist.
__
For graph 3, the circuit must include paths BAD and DFE. That only leaves node C, which can be reached from both nodes B and E, so path ECB completes the circuit.
tv originally cost $400 if the price of the TV increase by 15% what is the new price
Answer:
$460
Step-by-step explanation:
Thus, a product that normally costs $400 with a 15 percent discount will cost you $340.00, and you saved $60.00. You can also calculate how much you save by simply moving the period in 15.00 percent two spaces to the left, and then multiply the result by $400 as follows: $400 x .15 = $60.00 savings.
Derek is skiing on a circular ski trail that has a radius of 0.6 km. Derek starts at the 3-o'clock position and travels 2.4 km in the counter-clockwise direction.
a. How many radians does Brian sweep out?
b. When Brian stops skiing, how many km is Brian to the right of the center of the ski trail?
c. When Brian stops skiing, how many km is Brian above of the center of the ski trail?
Answer:
a) Brain sweep out 4 radians
b) Brian is -0.3922 km to the right of the center of the ski trail
c) Brian is -0.4541 km above of the center of the ski trail
Step-by-step explanation:
Given the data in the question;
circular ski trail radius = 0.6 km
Derek starts at the 3-o'clock position and travels 2.4 km in the counter-clockwise direction.
a) How many radians does Brian sweep out?
arc length = 2.4 km
from the diagram;
arc length = rθ
θ = arc length / r
θ = 2.4 / 0.6
θ = 4 radians
Therefore, Brain sweep out 4 radians
b) When Brian stops skiing, how many km is Brian to the right of the center of the ski trail?
from the diagram;
x = rcosθ
we substitute
x = 0.6 × cos(4)
x = 0.6 × -0.65364
x = -0.3922 km
Therefore Brian is -0.3922 km to the right of the center of the ski trail
c) When Brian stops skiing, how many km is Brian above of the center of the ski trail?
from the diagram;
m = rsinθ
m = 0.6 × -0.7568
m = -0.4541 km
Therefore, Brian is -0.4541 km above of the center of the ski trail
Mona wants to buy carpet for a floor in her house.
The floor is rectangular with a width of 8 m and a length of 9 m.
Two shops sell carpet with the prices shown below.
How much will Mona save by going to Carpet World ?
A person travels 620 mi in 10 hours. What is the rate in miles per hour?
Answer:
62 miles per hour
Step-by-step explanation:
620mile/10hrs
62miles/hr
62 miles per hour
A polling agency conducted a survey about social media in which each person in random samples of 1,000 men and 1,000 women was asked what factor he or she considers to be the most important when deciding whether to connect on social media with another person. The responses are shown in the table
Factor Personal Friend Stay in Touch Mutual Friends Business Networking Other 600 210 105 650 224
What is the contribution to the chi square test statistic for men who selected business networking as the most important factor ?
a. 0.5
b. 5
c. 7.5
d. 30
e. 45
Complete Question
A polling agency conducted a survey about social media in which each person in random samples of 1,000 men and 1,000 women was asked what factor he or she considers to be the most important when deciding whether to connect on social media with another person. The responses are shown in the table
Factor
Personal Friend,Stay in Touch,Mutual Friends,Business Networking Other
Men 600 210 106 45 40
Women 650 224 65 15 46
What is the contribution to the chi square test statistic for men who selected business networking as the most important factor ?
a. 0.5
b. 5
c. 7.5
d. 30
e. 45
Answer:
Correct option is C
Step-by-step explanation:
From the question we are told that:
Sample
[tex]n =1,000 men+ 1,000 women[/tex]
Factor Table
Personal Friend,Stay in Touch,Mutual Friends,Business, Networking Other
Men 600 210 105 45 40
Women 650 224 65 15 46
Generally the equation for Expected value for Men, Business and networking X is mathematically given by
[tex]X= \frac{Row Total * Column Total}{Grand Total}[/tex]
[tex]X=\frac{(600 + 210 + 105 + 45 + 40)*(45 + 15)}{(600 + 210 + 105 + 45 + 40 + 650 + 224 + 65 + 15 + 46)}[/tex]
[tex]X=30.015[/tex]
Generally the equation for Chi Contribution is mathematically given by
[tex]Y= {(45 - 30.015)^2}{30.015}[/tex]
[tex]Y=7.48[/tex]
[tex]Y \approx 7.5[/tex]
Therefore
Correct option is C
The contribution to the chi square test statistic for men who selected business networking as the most important factor is 7.5
The expected value is calculated as:
[tex]X = \frac{RT * CT}{GT}[/tex]
Where:
RT represents the row total, CT represents the column total and GT represents the grand total.
For Men, Business and networking, we have:
[tex]X = \frac{(600+ 210 +105+45 + 40) * (45 + 15)}{(600 +210 +105 +45 +40 +650 +224 +65 +15 +46)}[/tex]
Evaluate the sum
[tex]X = \frac{1000 * 60}{2000}[/tex]
[tex]X = 30[/tex]
The contribution to the chi square test statistic for men who selected business networking is then calculated as:
Y = (Business Networking - X)^2 / X
This gives
[tex]Y = \frac{(45 - 30)^2}{30}[/tex]
Evaluate the difference
[tex]Y = \frac{15^2}{30}[/tex]
Evaluate the exponent
[tex]Y = \frac{225}{30}[/tex]
Evaluate the quotient
[tex]Y = 7.5[/tex]
Hence, the contribution to the chi square test statistic for men who selected business networking as the most important factor is 7.5
Read more about chi square test statistic at:
https://brainly.com/question/19959558
Find the perimeter of each figure select the figure that have a perimeter of 20 units
I stores having a sale on jellybeans in trail mix. For 2 pounds of jellybeans and 12 pounds of trail mix, the total cost is $23. For 5 pounds of jellybeans and 3 pounds of trail mix, the total cost is $17. Find the cost for each pound of jellybeans and each pound of trail mix
Answer: The cost of each pound of jellybean is $2.5
The cost for each pound of trail mix is $1.5
Step-by-step explanation:
Let the cost for each pound of jellybeans be x.
Let the cost of each pound of trail mix be y.
Based on the information given, we can form an equation which will be:
For 2 pounds of jellybeans and 12 pounds of trail mix, the total cost is $23. This will be:
2x + 12y = 23 ...... i
For 5 pounds of jellybeans and 3 pounds of trail mix, the total cost is $17. This will be:
5x + 3y = 17...... ii
2x + 12y = 23 ...... i
5x + 3y = 17...... ii
Multiply equation i by 5
Multiply equation ii by 2
10x + 60y = 115 ...... iii
10x + 6y = 34 ..... iv
Subtract iv from iii
54y = 81
y = 81/54
y = 1.5
The cost for each pound of trail mix is $1.5
From equation i
2x + 12y = 23
2x + 12(1.5) = 23
2x + 18 = 23
2x = 23 - 18
2x = 5
x = 5/2 = 2.5
The cost of each pound of jellybean is $2.5
HELP DUE SOON 20 POINTS
Answer:
x = 10
Step-by-step explanation:
m∠KNL = 90
10x - 10 = 90
10x = 100
x = 10
The two given figures are similar. Which statements must be true? Select all that apply.
Answer:
angle B=74°
Step-by-step explanation:
the shapes are similar
what is the solution to the equation 9x+27=9( x+2) +9
Let's solve the equation:
9x + 27 = 9 ( x + 2 ) + 9 ← Distribute 9 to the x and 2
9x + 27 = 9x + 18 + 9 ← Combine like terms
9x + 27 = 9x + 27 ← Subtract 27 from both sides
9x = 9x
0 = 0
{Infinitely many solutions would be correct because no matter what x is, it will always equal each other the both sides of the equation because it is 9 times x on both sides.}
hope this helps..........
Answer:
x=1
Step-by-step explanation:
9x+27=9(x+2)+9
9x+27=9x+18+9
9x+27=9x+27
9x=9x
x=1
A.)49
B.)30
C.)7
D.)28
Use first principal to determine the equation of tangent to f(x)= 3x^2-6 Answer please
Answer:
final answer:
y-1= 3x_6
To solve our given problem, we must find the equation of the tangent line of the function f(x)=(x−1)3, at x=2.
.
.
Compound interest . A student get a grant of $10000 a year assuming her grant is increased by 7% each year what will her grant be in four years time
Answer:
Her grant in four years time will be of $13108.
Step-by-step explanation:
Exponential equation:
An exponential equation has the following format:
[tex]A(t) = A(0)(1+r)^t[/tex]
In which A(0) is the initial value and r is the growth rate, as a decimal.
A student get a grant of $10000 a year assuming her grant is increased by 7% each year
This means that [tex]A(0) = 10000, r = 0.07[/tex]
So
[tex]A(t) = A(0)(1+r)^t[/tex]
[tex]A(t) = 10000(1+0.07)^t[/tex]
[tex]A(t) = 10000(1.07)^t[/tex]
What will her grant be in four years time?
This is A(4). So
[tex]A(t) = 10000(1.07)^t[/tex]
[tex]A(4) = 10000(1.07)^4 = 13108[/tex]
Her grant in four years time will be of $13108.
NEED HELP ASAP!!
the surface area of a sphere is S(x)=4pix^2, where x is the length of the radius of the sphere. restrict the domain to create a one-to-one function. find and describe the inverse function. {ANSWERS ARE PICTURED}
Answer:
the last answer
Step-by-step explanation:
S(x) = 4pix^2
replace S(x) with y => y = 4pix^2
switch x and y variables => x=4piy^2
solve for y
divide both sides by 4pi => x/(4pi) = y^2take the square root of both sides => 1/(2(pi))(sqrtpi) = yThat eliminates the first 2 answers because S^-1(x) is incorrect, which leaves the last two answers.
The 3rd answer is wrong because the answer says that the input of the inverse function is length of the radius, but that was the inverse of the original function, not the inverse function. For inverse functions, the input of the original function (in this case, length of radius) becomes the output and the output of the original function (in this case, surface area of the sphere) becomes the input of the inverse function.PLZ HELPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPP
tell me about your hobbies?
can you profit from the ?
do you learn from them? What do they teach you?
do your family members have hobbies?
explain to me?
Does your parents country have any particular customs/hobbies?
what is a hobby you could see developimg?
What do you think are some of the qualities that hobbies teach us?
WRITE 2 PARagraph
Answer:
Hobbies give teenagers a chance to meet new people, discover new passions, develop skills outside of school, and do something all kids (yes, teens are part kid) should do: have fun. ... That's where hobbies come in. Hobbies are a great way for teens to form an identity outside their family.
Step-by-step explanation:
Answer:
ok ok ok ok ok ok ok ok
Step-by-step explanation:
i don't know
Find the area of an equilateral triangle with apothem length 4 cm.
If necessary, write your answer in simplified radical form.
Step-by-step explanation:
Hey there!
According to the question;
Side (a) = 4cm
To find : area
Now;
[tex]area = \frac{ \sqrt{3} }{4} {(a)}^{2} [/tex]
[tex]or \: area = \frac{ \sqrt{3} }{4} ( {4)}^{2} [/tex]
[tex]area \: = 4 \sqrt{3} [/tex]
Therefore, area of triangle is 6.92 cm² or 4√(3) cm².
Hope it helps!
