Determine whether each situation is an example of inductive reasoning or deductive reasoning and explain why.
A. The last few times I’ve driven past the beach on a sunny day, the parking lot was nearly full. Therefore, on sunny days, the beach parking lot will be nearly full.
B. On Thursdays, the trash gets picked up at the curb of the driveway. Today is Thursday. Therefore, the trash will get picked up at the curb of the driveway today.
Select the correct answer from each drop-down menu.
Statement A is an example of (A. Deducting reasoning B.inducting reasoning)The statement (A. applies and established truth to a specific example B. Uses previous examples to make a conjecture)
Statement B is an example of (A. Deducting reasoning B.inducting reasoning)The statement (A. applies and established truth to a specific example B. Uses previous examples to make a conjecture)
Answers
Answer: here it is
Step-by-step explanation:
Statement A is an example of inductive statement, whereas, statement B is a example of deductive statement.
What is inductive reasoning?Inductive reasoning is a method of reasoning in which a body of observations is considered to derive a general principle. It consists of making broad generalizations based on specific observations.
For example,
The last few times I’ve driven past the beach on a sunny day, the parking lot was nearly full. Therefore, on sunny days, the beach parking lot will be nearly full.
What is deductive reasoning?Deductive reasoning is the mental process of drawing deductive inferences. An inference is deductively valid if its conclusion follows logically from its premises, i.e. if it is impossible for the premises to be true and the conclusion to be false.
For example,
On Thursdays, the trash gets picked up at the curb of the driveway. Today is Thursday. Therefore, the trash will get picked up at the curb of the driveway today.
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Related Questions
Question 5
Kaya is riding her dirt bike on a road and spots a pothole ahead.
Kaya slows her car from 20.0 m/s to 5.0 m/s in 3.0 seconds. What
was her acceleration?
Answers
24. The expression ax2 + bx + c takes the values 0, 1 and 4 when x takes the values 1, 2
and 3 respectively. Find the value of the expression when x takes the value 4.
Please solve it for me
Answers
Answer:
When x takes the value of 4, the expression takes the value of 9.
Step-by-step explanation:
We are given that the expression:
[tex]\displaystyle ax^2 + bx + c[/tex]
Evaluates to 0, 1, and 4 when x = 1, 2, and 3, respectively.
And we want to determine the value of the expression when x = 4.
The expression evaluates to 0 when x = 1. In other words:
[tex]\displaystyle a(1)^2 + b(1) +c = a + b + c = 0[/tex]
We can complete the same for the other two:
[tex]\displaystyle a(2)^2 + b(2) + c = 4a + 2b + c = 1\text{ and } \\ \\ a(3)^2 + b(3) + c = 9a + 3b + c = 4[/tex]
This yields a triple system of equations:
[tex]\displaystyle \left\{ \begin{array}{l} a + b + c = 0 \\ 4a + 2b + c = 1 \\ 9a + 3b + c = 4 \end{array}[/tex]
Solve. We can cancel out the c by multiplying the first equation by negative one and adding it to both the second and the third:
[tex]\displaystyle \begin{aligned} (4a + 2b + c) + (-a - b -c ) &= (-0) + (1) \\ \\ 3a +b &= 1\end{aligned}[/tex]
And:
[tex]\displaystyle \begin{aligned} (9a + 3b + c) + (-a - b -c) &= (-0) + (4) \\ \\ 8a + 2b &= 4\end{aligned}[/tex]
Solve for the two resulting equations. We can multiply the first by negative two and add it to the second:
[tex]\displaystyle \begin{aligned}(8a + 2b) + (-6a -2b) &= (4) + (-2) \\ \\ 2a &= 2 \end{aligned}[/tex]
Hence:
[tex]a = 1[/tex]
Solve for b:
[tex]\displaystyle \begin{aligned} 3a + b &= 1 \\ b&= 1 - 3a \\ b&= 1 - 3(1) \\ b &= -2\end{aligned}[/tex]
And finally, solve for c:
[tex]\displaystyle \begin{aligned} a + b + c &= 0 \\ (1) + (-2) + c &= 0 \\ c &= 1\end{aligned}[/tex]
Hence, our expression is:
[tex]\displaystyle x^2 -2x + 1[/tex]
Then when x = 4:
[tex]\displaystyle (4)^2 - 2(4) + 1= 9[/tex]
In conclusion, when x = 4, the resulting value is 9.
5. Mrs. Perkins hosts a birthday party for her son and 7 guests. She orders 2 cookies and a
cupcake for each child. The cost of the cupcake is $2.75, and the total bill is $46.00. What is the
cost of a cookie?
Answers
Answer:
A cookie is $1.50.
Step-by-step explanation:
Variable x = cost of cookies
For each child means the 7 guests plus Mrs. Perkins' son which equals 8.
Set up an equation:
(2x)8 + (2.75)8 = 46
Use distributive property:
16x + 22 = 46
Isolate variable x by subtracting both sides by 22:
16x = 24
Isolate variable x by dividing both sides by 16
x = 1.5
Check your work:
2(1.5) × 8 + (2.75)8 = 46
3 × 8 + 22 = 46
24 + 22 = 46
46 = 46
Correct!
Answer: $1.50 per cookie
Step-by-step explanation:
We know that each cupcake is worth $2.75 and the total bill of all her purchases is $46.
Therefore, lets multiply the cost of a cupcake times the amount of people eating them. (the sons and 7 guests which add up to 8)
2.75(8) = $22
Now take the total cost of 8 cupcakes and subtract it from the total.
46 - 22 = $24
24 dollars is equal to the cost times the amount of cookies purchased. Therefore, let X equal to the cost per cookie and multiply it times the amount of cookies purchased. The amount of cookies is equal to 2 cookies times 8 children.
(2*8)X = 24
16x=24
x= $1.50
Check:
8[ (1)(2.75) + 2X ] = 46
8[ 2.75 + (2) (1.50) ] = 46
22 + 24 = 46
46 = 46
(5m-4)/6 -1 = 4m - (3m+10)/2
pls answer fasttt
Answers
Answer:
2
Step-by-step explanation:
first multiply everything by 6 to get rid of the fractions
then we get 5m-4 -6 = 24m -9m -30
simplify the equation 5m-10=15m-30
subtract 5m from both sides and add 30 to both sides 10m=20
divide by 10, m=2
a shea cd player costs $80 last year and $112 this year. what was the percent of increase in its price
Answers
Answer:
40% increase
Step-by-step explanation:
c = final value - initial value
------------------------------------
initial value
112 - 80 = 32
32 / 80 = 0.4
0.4 = 40%
A receptionist named Tanner spends 3 minutes routing each incoming phone call. In all,
how many phone calls does Tanner have to route to spend a total of 21 minutes on the
phone?
Answers
Answer:
7
Step-by-step explanation:
21/3 = 7
Hope this helps!
The price of an item is 33.10 You give the cashier two $20 bills. What is the change?
Answers
Answer:
answer) the change is $7.90
4. HM SENSE-MAKING
A local gym membership costs $20 per month plus additional activity charges. If x is the number of exercise classes taken above the planned amoun and y is the number of massages taken above the planned amount, interpret each expression.
a. 15%
b. 55y
c. 15x + 55y + 20
Answers
Answer:
15x+55y+20
Step-by-step explanation:
mark me brainlest
The expression of the total cost of the gym will be 15x + 55y + 20. Then the correct option is C.
What is Algebra?The analysis of mathematical representations is algebra, and the handling of those symbols is logic.
Local gym membership costs $20 per month plus additional activity charges. If x is the number of exercise classes taken above the planned amount of $15 and y is the number of massages taken above the planned amount of $55. Then the expression of the total cost of the gym will be
⇒ 15x + 55y + 20
The expression of the total cost of the gym will be 15x + 55y + 20. Then the correct option is C.
More about the Algebra link is given below.
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can someone plz plzplz
Answers
Step-by-step explanation:
<QTS<BCD<QPO and <ORS<EFG<ACF and <CFE<BED<TUY<ABC+<BCD=180° (being co-interior angles)1. ∠STQ
2. ∠BCD
3. ∠ORS and ∠QPO both are alternate angles of ∠POR
4. ∠EFG
5. ∠DCF and ∠CFH
6. ∠DEB
7. ∠YUT
8. 180° (because they are co-interior angles)
pls hurrryyyyyyy #42 only and show work
Answers
Answer:
x = 70
Step-by-step explanation:
50 + x + 2x + 100 = 360
Combine like terms
3x + 150 = 360
Subtract 150 from both sides
3x = 210
Divide both sides by 3 to isolate x
x = 70
Find the distance between the points (-3, 5) and (0, 1)
Answers
What fraction does point A represent on the number line?
0 A
Answers
2,8,18,32,50,72 which term is the sequence is 512?
Answers
Answer:
16
Step-by-step explanation:
2+6=8
8+10=18
18+14=32
6+4=10 10+4=14
an+1=an+(2+4n)
a7=a6+26=72+26=98
a8= a7+30= 98+30=128
a9=a8+34=128+34= 162
a10=a9+38= 162+38=200
a11=a10+42= 242
a12=242+46=288
a13=288+50= 338
a14=338+54= 392
a15=392+58= 450
a16= 450+62=512
Write 0.002349 in scientific notation.
Answers
Hi! I'm happy to help!
To solve this, we first need to know what scientific notation is. Scientific notation is a way a number is written. You write it using a number ranging from 1 to <10. Then, you multiply this number by [tex]10^{x}[/tex].
In order to make this number reasonable for scientific notation, you have to move the decimal a certain amount of places. In this case you move it 3 places to the right to make your number 2.349. Since we moved it 3 places to the right our x will be -3. (If we'd moved it 3 places to the left, our x would be positive 3.)
So now, we insert our numbers:
2.349·[tex]10^{-3}[/tex]
You write 0.002349 like 2.349·[tex]10^{-3}[/tex], when it is in scientific notation.
I hope this was helpful, keep learning! :D
if f(x)= 2(3x²-2x+2). Find:
A) f(x+1)
B) f(3)
C) f(y-2)
Answers
1) substitute the value of x as (x+1)
2) 2(3(x+1)^2 -2(x+1) +2)
3) 6(x^2 + 2x + 1)
4) 6x^2 + 8x + 6
B) f(3) = 46
1) simplify the expression first
2) 6x^2 -4x + 4
3) Now just substitute 3: 6(3)^2 -4(3) + 4
4) 6•9 - 12 + 4 = 46
I hope this helps :)
HELPPPP PLSSS!!! Find the distance between the points (-16, -10) and (6, -10). 20% 16 12 8 4 X -16 -20 -12 -8 -4 4 8 12 20 16 -4 -8 (-16, -10) -12 (6, -10) -16 -20-
Answers
Answer:
10 points away
fill in the dimensions and angle measures . Are the dashed segments parallel ?
Answers
Answer:
To see whether or not two lines are parallel, we must compare their slopes. Two lines are parallel if and only if their slopes are equal. The line 2x – 3y = 4 is in standard form. In general, a line in the form Ax + By = C has a slope of –A/B; therefore, the slope of line q must be –2/–3 = 2/3.
Which expression has the same value as –7 4/5 + 5 1/6
5 1/6 - 7 4/5
-7 4/5 - 5 1/6
-5 1/6 + (-7 4/5)
5 1/6 - (-7 4/5)
Answers
There are ‘n’ arithmetic means between 33 and – 3. If second last mean: second mean = 1: 5, find the value of n.
Answers
We know that:
There are n arithmetic means between the numbers 33 and -3
second last mean: second mean = 1:5
Using this, we can find that the value of n is 9.
Now let's see how we need to use the information.
"There are n arithmetic means between the numbers 33 and -3"
This means that we will have a sequence like:
33, a₁, a₂, ..., aₙ, -3
And by the given ratio, we know that:
aₙ₋₂:a₂ = 1:5
Also, because this is an arithmetic sequence we have:
a₁ = 33 + d
a₂ = 33 + d + d
aₙ ₋ ₂ = 33 + (n - 2)*d = -3 - 2*d
Because of the ratio, we will have that:
aₙ₋₂/a₂ = 1/5
We can replace what the left side by:
(-3 - 2*d)/(33 + 2*d) = 1/5
now we can solve this for d.
-3 - 2*d = (33 + 2*d)*(1/5)
5*(-3 - 2*d ) = (33 + 2*d)
-15 - 10d = 33 + 2d
-15 - 33 = 2d + 10d
-48 = 12d
-48/12 = -4 = d
So now we know that the value of d is -4.
Now we can use the equation
aₙ ₋ ₂ = 33 + (n - 2)*d = -3 - 2*d
to find the value of n:
33 + (n - 2)*d = -3 - 2*d
33 + (n - 2)*-4 = -3 - 2*-4
33 - 4n + 8 = -3 + 8
41 - 4n = 5
-4n = 5 - 41 = -36
n = 36/4 = 9
The value of n is 9.
If you want to learn more, you can read:
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Answer:
Step-by-step explanation:
HI. just posted a question can u help me out pleas please
There are two precalculus sections at a high school. Mr. Abel's class has 10 girls and 6 boys, while Mr. Bonitz's class has 10 girls and 12 boys. If a precalculus student chosen at random happens to be a girl, what is the probability she is from Mr. Abel's class?
Answers
Answer:gggggggggg
Step-by-step explanation:
gggggggggggggggggggggggggggggggggggggg
Solve the simultaneous equations. to. 3 significant figures.
3x^2 + y^2 = 20
2x + y =3
Answers
Answer:
check explanation
Step-by-step explanation:
in eqn 2,
y = 3 - 2x
substitute for it in eqn 1
3x² + y² = 20
3x² + (3 - 2x)² = 20
3x² + 9 - 12x + 4x² = 20
Group like terms;
3x² + 4x² - 12x = 20 -9
7x² - 12x = 11
x(7x - 12) = 11
x = 11,
OR
7x - 12 = 11
7x = 11 + 12
7x = 23
x = 23/7
x = 3.286
To get y, substitute for x in eqn 2
WHEN x = 11,
y = 3 - 2(11)
y = 3 - 22
y = -19
WHEN x = 3.286
y = 3 - 2(3.386)
y = -3.772
What is the long division answer for 19 on the outside (left) and 66 on the inside (right)?
Answers
Answer:
the answer is irrational (goes on forever) ... look at image...
I assume that the answer that you were to provide is
3 R 9 (3 remainder 9 )
or
[tex]3 \frac{9}{19}[/tex]
Step-by-step explanation:
1) (3x-5)^2
2) (3xy-1/3)^2
Answers
1)
=(3x)² - 2 × 3x × 5+5²
=3²x²2 × 3x × 5+5²
=9x² -2 × 3x × 5 + 5²
=9x² -2 x 3x x 5 + 25
=9x²30x + 25
Which of the following graphs represents the equation y-2 = 3(x - 1)?
A. Graph A
B. Graph B
C. Graph C
D. Graph D
Answers
Answer:
y+2= 3(x-1)
y=3x-3-2
y=3x-5
The y - intercept is at (0,-5)
The only graph that has the y-intercept at -5 is C
Answer is =C
Hope it is helpfully.Thankyou.Have a nice day.Answer:
GRAPH B!!!
Step-by-step explanation:
hope this helps :)
Help me with this question!
Answers
Answer:
...
Step-by-step explanation:
A teacher has 15 students in his class, 8 girls and 7 boys. He wants to seat them in three rows of five, but knows that if any row has two girls or two boys sitting next to each other, they will talk and won't pay attention. How many seating arrangements can he make that avoid this
Answers
Answer:
609638400
Step-by-step explanation:
Answer:
609638400
Step-by-step explanation:
Each row must alternate boys and girls, so every row is either BGBGB or GBGBG, where B denotes a boy and G denotes a girl. Since there are 8 girls and 7 boys, the teacher must have two rows of GBGBG and one row of BGBGB. There are three ways to choose this row, and once this is done, every seat is reserved for either a girl or a boy. There are 8! ways to arrange the girls in their seats, and 7! ways to arrange the boys, so the total number of seating arrangements is 3 * 7! * 8!
A lumberjack can cut a log into 5 pieces in 20 minutes. How long does it take to cut a log of the same size and shape into 7 pieces? If you dont have the correct answer please dont comment
Answers
Answer:
28minutes
Step-by-step explanation:
Use this simple trick, it can be used almost everywhere
Time taken pieces
20mins 5
? 7
An x shape is always multiply and straight line is divide
So (7 x 20) ÷5
If u still don't understand, just comment again
Answer:
Step-by-step explanation:
No that is incorrect 28 is not the answer:
1. 4 cuts every 20 mins it would take one cut every 5 mins. You only need one more cut because 6 cuts make 7 pieces. If you draw it.
1/5= 6/30 so 30 mins!
There are 5 x 10^3 workers in the shop, and each worker can
fill 6.2 crates with fruit every day. What is total number of crates
filled by the workers each day?
Answer using whole numbers such as 230000 or use scientific
notation in the format 2.3*10^5.
Answers
Answer:
31000 or 31 × 10^3
6.2 (5× 10^3)
Rewrite in simplest terms: -10f – 6(-9f +2)
Answers
Answer:
-44f - 12
Step-by-step explanation:
Here's the method :
-10f - 6 (-9f + 2 )
-10f + 54f - 12
-44f - 12
Answer:
[tex]44f - 12[/tex]
Step-by-step explanation:
[tex] - 10f - 6( - 9f + 2)[/tex]
[tex] - 6( - 9 + 2)[/tex]
[tex] - 6 \times ( - 9f) - 6 \times 2[/tex]
[tex]6 \times 9f - 6 \times 2[/tex]
[tex]54f - 6 \times 2[/tex]
[tex]54f - 12[/tex]
[tex] - 10f + 54f[/tex]
[tex]( - 10 + 54)f[/tex]
[tex] = 44f - 12[/tex]
Maureen withdrew $20 from her bank account to go to lunch with friends. Later, she
deposited $25 that she made babysitting.
What is the total change in Maureen's bank account relative to where it started?
