Answer:
A spurious correlation wrongly implies a cause and effect between two variables. For example, the number of astronauts dying in spacecraft is directly correlated to seatbelt use in cars: Use your seatbelt and save an astronaut life!
Interesting correlations are easy to find, but many will turn out to be spurious. Three examples are the skirt length theory, the Super Bowl indicator, and a suggested correlation between race and college completion rates.
Step-by-step explanation:
Penny attended a four year state college. She took out a student loan to pay for her tuition and room & board for the four years she was attending the college. Her tuition fees were $6,970 per year, and the cost of her room and board was $11,320 per year. Now that she has graduated, she will have to start paying back her loan. Fortunately, Penny has a grace period of one year before she has to start paying back the loan. Her loan details are as follows: there is a fixed-rate interest of 4.5% and the interest compounds each month. During her one year grace period, interest will accrue on the loan, so that when she has to start paying the loan back she will owe more than what she owes now. Her goal is to be able to payoff the loan in 10 years.
Given all of this information, answer the following questions:
1. What is the original loan amount, i.e. how much were the total costs for tuition plus room & board for the four years that Penny attended the college?
2. What is the new loan amount after the one-year grace period (remember that interest will accrue on the loan during this initial 12-month period that she is not paying anything back on the loan)? This is the amount that she will be responsible for paying back. (Round your answer to the nearest whole dollar)
3. Given that she can pay back the loan in full after 10 years of payments, what is the total amount she will end up paying back (both principal and interest that has accrued over the 10 years)? And how much will her monthly payments on the loan be for those 10 years? (Round your answers to the nearest whole dollar)
Answer:
27,880 for tutitions + 45,280 for room and board= 73,160 total
HELP!!!
I need to know if this is Function or not a function.
Answer:
Not a function
Step-by-step explanation:
Since x = 1 produces y = 3 and y = 4 , the relation is not a function.
( − 2 , − 5) , ( − 1 , − 3 ) , ( 0 , 0 ) , ( 1 , 3 ) , ( 1 , 4 )
The domain cannot be the same value.
help me please it's important!!
Answer:
Does the answer help you?
Answer:
102 cm³
Step-by-step explanation:
Volume of R1:
length = 7 cm
Width = 3 cm
Height = 2 cm
Volume = 7* 3 * 2 = 42 cm³
Volume of R2:
length = 5 cm
Width = 4 cm
Height = 3 cm
Volume = 5 * 4 * 3= 60 cm³
Volume of the figure = 42 + 60 = 102 cm³
What is the price after taking 25% off $62?
Answer:
46.5 DOLLARS WILL BE YOUR ANSWER .Answer:
$46.50
Step-by-step explanation:
pls mark brainliest
equation of the line which passes through point (0,5) at gradient of - 1
Answer:
y = - x + 5
Step-by-step explanation:
The equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
Here gradient (slope) = - 1 and (0, 5) ⇒ c = 5
y = - x + 5 ← equation of line
solve for F ------- 2/3 + f = 1/5
A= 13/15
B= 7/15
C= - !3/15
D= - 7/15
[tex]\\ \sf\longmapsto \dfrac{2}{3}+f=\dfrac{1}{5}[/tex]
[tex]\\ \sf\longmapsto f=\dfrac{1}{5}-\dfrac{2}{3}[/tex]
[tex]\\ \sf\longmapsto f=\dfrac{3-10}{15}[/tex]
[tex]\\ \sf\longmapsto f=\dfrac{-7}{15}[/tex]
Answer:
D. -7/15
Step-by-step explanation:
Step 1: Simplify both sides of the equation.
f+ 2/3-2/3= 1/5-2/3
Step 2: Subtract 2/3 from both sides.
f= -7/15
Select the correct answer from each drop-down menu.
The table shows certain values of a cubic function.
Answer:
7 and - infinity
Step-by-step explanation:
The function is decreasing in nature. The function has a maxima when x is near 7 and as the function is decreasing, the function will approach -infinity as x approaches positive infinity.
explanation would be appreciated. i don’t understand
Answer:
[tex]28\sqrt{3}[/tex]
Step-by-step explanation:
The area of the big triangle is 1/2 b h = 1/2*6*(12^2 = 6^2 + x^2)
that ends up being [tex]\sqrt{108} = 36\sqrt{3}[/tex]
the small triangle are needs to be subtracted....
[tex]\frac{\left(4\cdot \:sin\left(90\right)\right)}{sin\left(30\right)}[/tex] that is the length of the unknown side...
1/2 B * h of that triangle get you to [tex]8\sqrt{3}[/tex]
just subtract the two areas
Answer:
(B) 28√3
Step-by-step explanation:
The area of quadrilateral ABED is equal to the area of triangle CDE subtracted from the area of triangle ABC.
Area of triangle CDE:
Triangle ABC is equilateral. All sides have length 12.
AB = BC = AC = 12
BE = 8
BE + EC = BC
8 + EC = 12
EC = 4
In an equilateral triangle, all angles measure 60°.
m<C = 60°
m<CDE = 30°
Triangle CDE is a 30-60-90 triangle.
DE = EC√3
DE = 4√3
area of triangle CDE = bh/2
area of triangle CDE = (EC)(DE)/2
area of triangle CDE = (4)(4√3)/2
area of triangle CDE = 8√3
Area of triangle ABC:
Side AC is a base of triangle ABC.
AC = 12
(1/2)AC = 6
The altitude of triangle ABC from side AC to vertex B measures
h = 6√3
area of triangle ABC = bh/2
area of triangle ABC = (AC)(h)/2
area of triangle ABC = (12)(6√3)/2
area of triangle ABC = 36√3
area of quadrilateral ABED = area of triangle ABC - area of triangle CDE
area of quadrilateral ABED = 36√3 - 8√3
area of quadrilateral ABED = 28√3
What is the estimate for 312+138+207
Answer:
657
Step-by-step explanation:
312 + 138 + 207
= 450 + 207
= 657
Answer:
600
Step-by-step explanation:
To round your answer, you check the tenths place to see if it is under 5 or above 5. If it is under 5, your answer will stay in the number the hundreds place is in currently. If it is above 5, you will add one to the hundreds place.
312: there is one in the tenths place, so it will stay as 300.
138: there is three in the tenths place, so it will stay as 100.
207: there is a zero in the tenths place, so it will stay as 200.
If you are doing it with the one's place, it is the same method. Either round up or down.
300 + 100 + 200 = 600
The answer is 600.
A car starts from rest. if the velocity of car become 15m/s after 20s calculate the acceleration of the car.
Answer:
[tex]0.75 {ms}^{ - 2} [/tex]
Step-by-step explanation:
[tex]acceleration = \frac{velocity}{time} \\ = \frac{15ms ^{ - 1} }{20s} \\ = \frac{3}{4} ms ^{ - 2} \\ = 0.75 {ms}^{ - 2} [/tex]
[tex]\Large\rm{\underbrace{\green{ \: Acceleration \: = \: \ \frac{v}{t} \: }}}[/tex]
V denotes rate of change in Velocityt denotes time taken[tex] \bf \large \implies \: Acceleration \: = \: \frac{15}{20} \\ [/tex]
[tex]\bf \large \implies \: Acceleration \: = \: \cancel\frac{15 \: \small \: m /s }{20 \: s} \: = \: \frac{3}{4} \: m /s ^{ - 1} \\ [/tex]
[tex]\bf \large \implies \: Acceleration \: = \: \cancel\frac{3}{4} \:m /s ^{ - 1} \: = \: 0.75 \: \: m /s ^{ - 1} \\ [/tex]
[tex] \bf \large \implies \: \: Acceleration \: = \: 0.75 \: \: m /s ^{ - 1} \\ [/tex]
Help me please Will give brainlist
Answer:
Step-by-step explanation:
These are geometric means problems. In the top one, a is the geometric mean as the height for both the smaller triangles inside the big one. Therefore,
[tex]\frac{4}{a} =\frac{a}{25\\}\\a^2=100\\a=10[/tex]
The next one has the geometric mean of b, being a part of the smaller triangle on the left and the big triangle as a whole:
[tex]\frac{4}{b} =\frac{b}{29}\\b^2=116\\b=10.77[/tex]
what is the area of the figure below?
Answer:
15x^9
Step-by-step explanation:
A=l x w
5x^4 times 3x^5 is basically 3*5*x^4*x^5
when you multiply exponents with the same base, you add the exponents, so it becomes 15x^9
x^2= 14x +11
------------
Answer:
[tex]x=7+2\sqrt{5} ,7-2\sqrt{5}[/tex]
Step-by-step explanation:
[tex]x^{2} =14x+11[/tex]
[tex]x^{2} -14x-11=0[/tex]
[tex]x\frac{-b\pm\sqrt{b^{2} -4ac} }{2(a)}[/tex]
[tex]x=\frac{14\pm\sqrt{(-14)^{2} -4(1)(-11)} }{2(1)}[/tex]
[tex]x=\frac{14\pm\sqrt{240} }{2}[/tex]
[tex]x=\frac{14\pm4\sqrt{15} }{2}[/tex]
[tex]x=7+2\sqrt{5} ,7-2\sqrt{5}[/tex]
------------------------
OAmalOHopeO
-----------------------
Answer:
Solution given:
x²=14x+11
keeping all term on same side
x²-14x-11=0
trying to make it a perfect square
x²-2*7*x+7²-7²-11=0
By using formula of (x-y)²=x²-2xy+y²we get
(x-7)²-60=0
keeping 60 in right side
(x-7)²=60
doing square root on both side
[tex]\frac{(x-7)²}=\sqrt{60}[/tex]
we get
x-7=[tex]\sqrt{5*3*2*2}[/tex]
x-7=±2[tex]\sqrt{15}[/tex]
So
x=7±2[tex]\sqrt{15}[/tex]
Either
x=7+2[tex]\sqrt{15}[/tex]or
x=7-2[tex]\sqrt{15}[/tex]The distance AB rounded to the nearest tenth = [?]
Answer:
4.5 units
Step-by-step explanation:
Use the distance formula
[tex]\sqrt{(-1-3)^{2}+(-1-1)^{2} }[/tex]
[tex]\sqrt{16+4}=\sqrt{20}[/tex]
The distance AB on the diagram rounded to the nearest tenth is: 4.5 units
Meaning of DistanceDistance can me defined as a measure that tells us how far apart two objects or individual are to each other.
Distance is very important as it helps us know where exactly things are located and whether they are close or far apart
In conclusion, The distance AB on the diagram rounded to the nearest tenth is: 4.5 units
Learn more about Distance: https://brainly.com/question/17273444
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PLS TELL ME HOW TO FIND THIS ANGLE
Answer:
it is 80⁰
Step-by-step explanation:
cuz the it vertical angle
and to find a just get
180-80-70
Tyrone measured the floor of his rectangular storage unit. It is 3 feet wide and 8 feet from one corner to the opposite corner. How long is the storage unit? If necessary, round to the nearest tenth.
Answer:
Rounded to the nearest tenth, 7.4 feet long.
Step-by-step explanation:
Tyrone has a rectangular storage unit. We are given the width and the diagonal length.
So we can use Pythagorean Theorem.
3^2 + b^2 = 8^2
9 + b^2 = 64
subtract 9 from both sides
b^2 = 55
b = sqrt55
b is around 7.4161984871, so b rounded to the nearest tenth is 7.4 feet long.
THIS IS TIMED! Find the equation of the graphed line.
On a coordinate plane, a line goes through (negative 6, 0) and (0, negative 7).
a.
y = negative 6 x minus 7
c.
y = negative StartFraction 6 Over 7 EndFraction x minus 6
b.
y = 6 x minus 7
d.
y = negative StartFraction 7 Over 6 EndFraction x minus 7
Please select the best answer from the choices provided
A
B
C
D
Answer:
D
Step-by-step explanation:
x/(-6)+y/(-7)=1
7x+6y=-42
7x+6y+42=0
y=(-7/6)x-7
Help me solve for t please
Answer:
[tex]t = \frac{ v_{1} - v_{0}}{a} \\[/tex]
Step-by-step explanation:
[tex]a = \frac{v_{1} - v_{0}}{t} \\ a \times t = v_{1} - v_{0} \\ \frac{at}{a} = \frac{ v_{1} - v_{0} }{a} \\ t = \frac{ v_{1} - v_{0}}{a} \\ [/tex]
Help help help help help help help help help help help help
Answer:
$32.07
Step-by-step explanation:
I am not sure - are we seeing the full information about this problem ?
because the problem description is strangely vague and confusing, as it uses "total cost" two times for not the same thing ...
either total cost means including tax or not including tax. but it cannot mean both ...
I think the most likely understanding of this problem is that the first price is without tax, and now we need to calculate and add the extra 6% tax to get the really total price to be paid.
I will solve this now based on this assumption.
100% = $30.25
1% = 100%/100 = 30.25/100 = $0.3025
6% = 6×1% = 6×0.3025 = $1.815 ≈ $1.82
the total price is then calculated either by
100% + 6%
or by
106% = 100%×1.06 = 30.25×1.06 = $32.065 ≈ $32.07
in both cases we get the same result, of course.
Answer:
32.171
Step-by-step explanation:
Which equation can be solved using the one-to-one property?
3X = 10
4In x = 2
log x = 5
4* = 47x+2
Answer:
3x=10
Step-by-step explanation:
x=10-3
x=7
i hope this answer will help u
Answer:
4x = 47x+2
Step-by-step explanation:
Using the one–to–one property, you can set x = 7x + 2.
Question 7 of 10
A construction worker needs to put a rectangular window in the side of a
building. He knows from measuring that the top and bottom of the window
have a width of 5 feet and the sides have a length of 12 feet. He also
measured one diagonal to be 13 feet. What is the length of the other
diagonal?
O A. 12 feet
B. 13 feet
O C. 5 feet
O D. 17 feet
Answer:
13
Step-by-step explanation:
The diagonals of rectangle are equal in length.
factorise [tex]x^{2} - 121[/tex]
Answer:
(x+11)(x-11)
Step-by-step explanation:
Hello!
We are given the expression x²-121, and we want to factor it
The expression is a difference of squares expression.
The formula for the difference of squares is written as a²-b² can be factored as (a-b)(a+b)
121 is 11 squared, and x² is x squared
So that means that a=x, and b=11 in this case
Now substitute those values into the formula
a²-b²=x²-121=(x+11)(x-11)
Hope this helps!
Answer:
(x-11)(x+11)
Step-by-step explanation:
x^2 -121
x^2 -11^2
This is the difference of squares a^2 - b^2 = (a-b)(a+b)
(x-11)(x+11)
Find the length of UC? Please help
Answer:
The choose C. 18
Step-by-step explanation:
UC —> 105+82=187 —> 96+22+51=169 —> 187–169=18
I hope I helped you^_^
Which figure is described below?
The locus of points in a plane
equidistant between
(-5, -6) and (-5, 7).
Answer:
A.Line
Step-by-step explanation:
The locus of points in a plane equidistant between (-5, -6) and (-5, 7) is describe by the Line. so option A is correct.
What is a line segment?A line segment is a straight line with finite length, and thus, have to endpoints(points on either ends).
We know that the graph of x = 5 is the vertical line through 5 on the x-axis. Two points on this line are (-5, -6) and (-5, 7).
We form a horizontal line through (0,1) and (1,1). This is the locus of points equidistant between (-5, -6) and (-5, 7)
We have parallel lines like this, the locus of points equidistant from the two lines is always one single line, and it's the middle line as described above.
This applies to diagonal parallel lines as well, and vertical parallel lines.
Hence, The locus of points in a plane equidistant between (-5, -6) and (-5, 7) is describe by the Line. so option A is correct.
Learn more about a point dividing a line segment in a ratio here:
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use the prime factors of 3136 and 2744 to evaluate:✓3136/3✓2744
Answer:
3136 = 2^6 × 7^2
2744 = 2^3 x 7^3
✓3136/3✓2744 = ✓(2^6 × 7^2)/3✓(2^3 x 7^3) = (2^3 x 7)/3 x 14(✓14) = 56/42✓14 =4/3✓14
Find the square root of 7250 by prime factorisation.
Answer:
The square root of 7250 is 85.15
Step-by-step explanation:
[tex]{ \boxed{ \sf{7250}}} \\ ↓ \div 2 \\ { \boxed{ \sf{3625}}} \\ ↓ \div 5 \\ { \boxed{ \sf{725}}} \\ ↓ \div 5 \\ { \boxed{ \sf{145}}} \\ ↓ \div 5 \\ { \boxed{ \sf{29}}}[/tex]
Find square roots of divisors:
[tex]{ \sf{ = \sqrt{2} \times \sqrt{5 \times 5 \times 5} \times \sqrt{29} }} \\ = { \sf{ \sqrt{2} \times \sqrt{125} \times \sqrt{29} }} \\ = { \sf{85.15}}[/tex]
[tex]{ \underline{ \sf{ \blue{christ \:† \: alone }}}}[/tex]
Ethan sells e candy bars for $2.50 apiece and Chloe sells c candy bars for $2.00 apiece to raise
money for a school trip. Ethan sold 15 fewer candy bars than Chloe, but he also got a $6.00
donation. If Chloe and Ethan raised the same amount of money, which of the following systems
could be used to find how many candy bars each sold?
The system that could be used to find how many candy bars each sold is given is option B.
What is the candy bar about?Since Ethan sold 15 fewer candy bars than Chloe, as portrayed in the question, so:
e = C - 15
Based on the fact that Chloe and Ethan raised the same amount of money, the equation will be:
2C: 2.5e + 6
Therefore, The system that could be used to find how many candy bars each sold is given is option B.
Learn more about candy bars from
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which has a steeper slope y-1/2x or y=2/3x?
Answer:
y=2/3x
Step-by-step explanation:
2/3 is greater than 1/2. It doesn't matter if one of the slopes are negative.
Find the 5th term of each geometric sequence. 32,80, 200
Answer:
12.8
Step-by-step explanation:
Instructions: Find the missing side. Round your answer to the nearest tenth.
х
28°
25
Ans : 22
if my ans wrong im srry
Answer:
25 +28+x=180
53+x=180
x=180_53
x=127