note: I wasn't sure about statement 2. I think your teacher made a typo with that.
========================================================
Let's go through the five statements to see if they are true or not.
--------------------------------------------------
Statement 1) The hypothesis of the statement is "If the sum of the digits in a number is divisible by 3"
This is a true statement as conditionals are of the basic form "if hypothesis, then conclusion". A hypothesis is an educated guess or assumption, and it leads to the conclusion which is often directly (or somewhat directly) tied to the hypothesis.
--------------------------------------------------
Statement 2) An equivalent statement is "If the sum of the digits in a number is divisible by 3, then the original number is divisible by 3."
This is a bit baffling as this is an identical copy of the statement Galen wrote at the top. It seems like your teacher made a typo here (probably didn't realize they cut/pasted the wrong thing). I'm not sure what to do here. I would ask your teacher for clarification.
--------------------------------------------------
Statement 3) The statement is not a conditional statement because it does not include both an "if" and a "then" clause.
This is false. It is indeed a conditional even if it doesn't fit the exact parameters of "if ..., then ...." format. You could have a conditional that reads "it gets wet outside if it rains", which can be rearranged into "if it rains, then it gets wet outside". Both are considered conditionals even though the first one doesn't have "then".
--------------------------------------------------
Statement 4) The statement can be proven true or false
This is true. We can prove Galen's statement to be true or false. In this case, it can be proven to be true. This is one of the many divisibility rules.
--------------------------------------------------
Statement 5) The conclusion of the statement is written before the hypothesis.
This is false. The conclusion in this case is "the original number is divisible by 3" which is written after the hypothesis. There is a way to write the conclusion first by saying "a number is divisible by 3 if the sum of its digits are divisible by 3". But that isn't the case here.
I've been stuck on this for a bit, and I'm still figuring this out in the process. a little help?
Steps to solve:
4x + 1/3y^2 when x = 2 and y = 3
~Substitute
4(2) + 1/3(3)^2
~Simplify
8 + 1/3(9)
~Simplify
8 + 3
~Add
11
Best of Luck!
If f(x) is the total number of bacteria present in a sample after x hours, which of the following statements best describes the meaning of f(2) = 12? (1 point) The total number of bacteria present in the sample after 12 hours is 2. The total number of bacteria present in the sample after 6 hours is 2. The total number of bacteria present in the sample after 2 hours is 12. The total number of bacteria present in the sample after 6 hours is 12.
Answer:
The total number of bacteria present in the sample after 2 hours is 12.
Step-by-step explanation:
In the function f(2) = 12, 2 represents x, and 12 represents the output when x is equal to 2.
In the context of this problem, this means that f(2) = 12 represents how in 2 hours, there were 12 bacteria present in the sample.
Answer:
The total number of bacteria present in the sample after 2 hours is 12.
Step-by-step explanation:
f(x) is the total number of bacteria, while x is the number of hours. We are given:
f(2)=12
2 is x (the input) and 12 is f(x) (the output).
Since x=2 and x=number of hours, 2 describes the number of hours.
Since f(x)= 12 and f(x)= number of bacteria, 12 describes the number of bacteria.
Therefore, after 2 hours, the total number of bacteria present is 12.
Which graph represents the solution set of the system of linear inequalities below?
Answer:
C
Step-by-step explanation:
First you find which line is which.
The one with 5x in it is the steepest one, and we have to be above it due to the >.
The one with 2x in it is the least steep, and we have to be below it due to the <.
Graph C satisfies both these restrictions.
OMDS JUST HELP ME PLS GUYS I CANT
Answer:
Hey there!
There are a total of 20 children, and 2+6, or 8 are girls.
Thus the probability of choosing a girl is 8/20, or 2/5.
There are 2 left handed girls, so the probability is 2/20, or 1/10.
Hope this helps :)
Answer:
see below
Step-by-step explanation:
There are 2+6 = 8 girls
P( girl) = number of girls/ total = 8/20 = 2/5
P( left handed girl) = number of left handed girls/ total = 2/20 = 1/10
can I get help with this question. I need to find the value of x
Step-by-step explanation:
sides of 2 triangles are proportional
x/12=28/21
x=16
=======================================================
Explanation:
The diagonal pieces are 28 and 21. They pair up to get the fraction 28/21
The horizontal pieces are x and 12, in the same order from left to right. The order is important (so things pair up properly). We get the fraction x/12
-------
Set the two fractions equal to each other and solve for x
28/21 = x/12
28*12 = 21*x .... cross multiply
336 = 21x
21x = 336
x = 336/21 .... divide both sides by 21
x = 16
Intro to Exponential Equations
Answer:
d.) 36
Step-by-step explanation:
f(x) = 4.[tex]3^{x}[/tex]
f(2) = 4 × 3² = 4 × 9 = 36
Which table represents a linear function?
Answer:
last one
Step-by-step explanation:
7 6/11, 149/20, 7.431, 7.46 order from least to greatest
→Answer:
7.431, 149/20, 7.46, 7 6/11
→Step-by-step explanation:
Well, first let's make all the numbers in decimal form.
7.5454 - 7 6/11
7.45 - 149/20
7.431
7.46
So, we can order them now.
7.431, 7.45, 7.46, 7.5454
Now we can put them back into their original status.
7.431, 149/20, 7.46, 7 6/11
____________________________________________________________
In a class of 26 students, 15 of them like maths, 13 of them like English and 9 of them don't like Maths or English. Find the probability that a student chosen at random likes English but not Maths
Answer: 0 0769
Step-by-step explanation:
Let x be the number of students that offer both subjects
15 - x + x + 13 - x + 9 = 26
-x + 37 = 26
-x = -11
x = 11
Number of student that offer english but not math = 13 - 11 = 2
The probability of english but not math = 2/26 = 0.0769
The probability that a student likes only Maths but not English is 2/13.
What is probability?Probability is the chance of occurrence of a certain event out of the total no. of events that can occur in a given context.
Let, N(U) = 25 the total number of students.
Similarly, N(M) = 15 and N(E) = 13.
9 students Maths or English.
So, The number of students like both subjects, N(M∩E) = 13 + 15 - 17.
N(M∩E) = 11.
N(E∩M') = N(M) - N(M∩E). (only English)
N(E∩M') = 15 - 11.
N(E∩M') = 4.
Therefore, The probability that a student likes only English but not maths is,
= 4/26.
= 2/13.
learn more about probability here :
https://brainly.com/question/743546
#SPJ6
Can someone help me with the name of this shape?
Answer:
The shape is a Trapezium or trapezoidHope this helps you
Anyone please help me
Answer:
(a) 6
(b) 14
Step-by-step explanation:
Answer: (a) 6
(b) 14
Step-by-step explanation:
Let a represent the unknown digit for Chinese --> 70 + a
Let b represent the unknown digit for Mathematics --> 80 + b
Total scores ÷ Total number of tests = Average
[tex]\dfrac{78 + (70 + a) + (80 + b) + 62}{4}=76\\\\\\\dfrac{290 + a + b}{4}=76\\\\\\290 + a + b=304\\\\\\a+b=14[/tex]
The two digits must add up to 14.
The only options are: (9,5), (8,6), (7,7), (6,8), and (5,9),
Mathematics - Chinese
(9, 5) 89 - 75 = 14 LARGEST Difference
(8, 6) 88 - 76 = 12
(7, 7) 87 - 77 = 10
(6, 8) 86 - 78 = 8
(5, 9) 85 - 79 = 6 SMALLEST Difference
- 1 = 5 + x/6 Solve for the variable.
Hey there! :)
Answer:
x = -36.
Step-by-step explanation:
Starting with:
-1 = 5 + x/6
Begin by subtracting 5 from both sides:
-1 - 5 = 5 - 5 + x/6
-6 = x/6
Multiply both sides by 6:
-6 · 6 = x/6 · 6
-36 = x.
Answer:
x = -36
Step-by-step explanation:
- 1 = 5 + x/6
Subtract 5 on both sides.
-1 - 5 = x/6
-6 = x/6
Multiply both sides by 6.
-6 × 6 = x
-36 = x
answer, please!answer, please!answer, please!answer, please!answer, please!answer, please!answer, please!answer, please!answer, please!answer, please!answer, please!answer, please!
Step-by-step explanation:
The total amount of seat in the train is the total number of carriages multiplied by the number on each carriages = 32 × 15 = 480seats
A. number of trains needed for 350,000 passengers = 350,000/ 480 = 729 trains approximately
Answer:
like he said up their.
Step-by-step explanation:
Please I need helpe
What is the value of this expression when g= -3.57
8 - 125-51
O A.
20
OB.
10
O C.
6.
D.
-4
Answer:
C
Step-by-step explanation:
8 - |2g - 5|
= 8 - |-2 * (-3.5) - 5|
= 8 - |7 - 5|
= 8 - |2|
= 8 - 2 = 6
Find b given A = 50° and a = 8.
Answer: b ~= 6.71
Answer with Steps:
tan(50) = 8/b
b = 8/tan(50)
b ~= 6.71
can someone help me do this please
Answer:
d = 13.9965 in
Step-by-step explanation:
Area of a Circle Formula: A = πr²
diameter = 2r
Step 1: Plug in known variables
153.86 = πr²
Step 2: Solve for r
153.86/π = r²
r² = 48.9752
r = √48.9752
r = 6.99823
Step 3: Find d
d = 2(6.99823)
d = 13.9965
Answer:
Step-by-step explanation:
We khow that the area of a cercle is :
A= r²*π where r is the radius
A= 153.86 in²
so : r² = 153.86/π = 48.97 ≈ 49
then r = 7
so the diameter is 14 in
The pounds of produce purchased at a grocery store on Friday between 1:00 p.m. and 6:00 p.m. is
shown:
8, 14, 15, 20, 9, 7, 5, 10, 12, 16, 9, 11, 13, 8, 14, 7, 11, 18, 20, 24, 15, 10, 8, 5, 4, 6, 10, 7, 9, 11, 13, 12, 11, 14, 13,
10, 8, 17, 9, and 11.
Which set of sample data is needed to best represent the population mean?
the first five customers
the first ten customers
the first twenty customers
the first twenty-five customers
Answer:
The correct option is;
The first twenty-five customers
Step-by-step explanation:
For the given data, by calculation, we have;
The population average = 11.45
The average of the first five customers = 13.2
The average of the first ten customers = 11.6
The average of the first twenty customers = 12.5
The average of the first twenty-five customers = 11.72
Therefore both the first ten customers and the first twenty-five customers have good representation of the population mean with the mean of the first ten customers having a value of 11.6 is more closer to the population mean than the mean of the first twenty-five customers
However, by the central limit theorem, as the size of the sample continues to be increasingly larger, it becomes more and more representative of the population mean, this is more so because when the data is sorted, the population mean will be better represented by the mean of a large sample size
Hence the set of sample data needed to best represent the population mean is the first twenty-five customers.
the qestion is the picture
Answer:
-2/9
Step-by-step explanation:
Answer:
the answer is C. - 2/9!!!!!!
Step-by-step explanation:
In a division equation, quotient is the answer derived after dividing the dividend by the divisor. To continue with our sample word problem, all we need to do to find the quotient of the division word problem, is to divide the dividend by the divisor sooo we just Divide: -2 / 9 = -0.222222222222 = -2/9! the answer is going to be C.!
hope this helped!
solve this...question
Answer: 5. P = (-4, 6) R = (-4, -4)
6. (a) a = 4, b = 3 (b) BC = 8 (c) B = (3, 4)
7. (a) m = 4, n = 6 (b) PQ = (-2, 6) (c) SR = (2, -6)
Step-by-step explanation:
5. The distance from Q (4, 0) to A (0, 3) is 4 left and up 3.
So the distance from A to P is 4 left (0 - 4) and up 3 (3 + 3)
--> P = (-4, 6)
Similarly, the distance from Q (4, 0) to B (0, -2) is 4 left and down 2.
So the distance from A to P is 4 left (0 - 4) and down 2 (-2 - 2)
--> P = (-4, -4)
6. Follow the same steps as #5 (above) to get the following coordinates:
A = (-3, 4) B = (3, 4)
D = (-3,-4) C = (3, -4)
a) a = 4, b = 3
b) BC = 2(4) = 8
c) B = (3,4)
7. Follow the same steps as #5 (above) to get the following coordinates:
P = (-4, 6) Q = (0, 6)
S = (0, -6) R = (4, -6)
a) m = 4, n = 6
b) midpoint PQ = (-2, 6)
c) midpoint SR = (2, -6)
simplify 5x5^2 leaving your answer in index form
Answer:
5 power 3
Step-by-step explanation:
the answer of 5 power 2 is 25,multiply by 5 to get 125,make 5 the base to get your answer
Answer:
5^3
Step-by-step explanation:
5x5^2= 25x5=125
Now that is equivalent to 5^3
5x5x5=125
Please answer this in two minutes
Answer:
30
Step-by-step explanation:
a^2 + b^2 = c^2
(8sqrt(3))^2 + b^2 = 16^2
64 * 3 + b^2 = 256
192 + b^2 = 256
b^2 = 64
b = 8
The ratio of the lengths of the sides of this triangle is
8 : 8sqrt(3) : 16
which reduces to
1 : sqrt(3) : 2
This is the ratio of the lengths of the sides of a 30-60-90 triangle.
m<W = 30 deg
The farmer loaded 2/5 of the boxes onto the truck. He needed to load 345 more boxes of tomatoes onto the truck. How many boxes of tomatoes de he have to load altogether?
Answer:
575 boxes
Step-by-step explanation:
Let the total number of boxes = x
The farmer already loaded [tex]\dfrac25[/tex] of the boxes onto the truck.
Therefore, the remainder [tex]=1-\dfrac25=\dfrac35[/tex]
Since he needed to load 345 more boxes of tomatoes onto the truck.
[tex]\dfrac35 \times x =345\\3x=345\times5\\x=(345\times5) \div 3\\x=575[/tex]
The farmer had 575 boxes of tomatoes to load altogether.
The child has been diagnosed with rickets. The child’s mother is educated about the importance of providing the child with 10 micrograms (400 International Units) of an oral vitamin D supplement each day. The child’s mother purchases over-the-counter vitamin D drops. The supplement is noted to contain 5 mcg of vitamin D in each 0.5 mL. How much of the supplement should the mother administer to the child each day? Record your answer using one decimal place.
Answer:
1.0 mL each day
Step-by-step explanation:
The required daily dosage of vitamin D is 10 micrograms.
The supplement contains 5 micrograms per 0.5mL.
The volume of supplement necessary to fulfill the daily requirements of vitamin D is:
[tex]V=\frac{0.5\ mL}{5\ mcg}*10\ mcg\\ V=1.0\ mL[/tex]
She should administer 1.0 mL of the supplement each day.
find the square root of 100 5.75
Answer:
10 and 2.4
Step-by-step explanation:
100 is 10*10 so: [tex]\sqrt{100}[/tex] = 10
5.75 is a decimal number
[tex]\sqrt{5.75}[/tex] = 2.39≈ 2.4
The total global area of crops has increased from 44.2 million to
181.5 million
hectares between 2000 and 2014. Calculate the percentage increase Round this up to the
next whole number.
Answer:
311%
Step-by-step explanation:
The percentage change is calculated as ...
percent change = ((new value) -(old value))/(old value) × 100%
Filling in the numbers, we have ...
percent change = (181.5 -44.2)/44.2 × 100% ≈ 311%
The global area increased by 311% over the interval.
What is the solution for x in the given equation? sgrt9x+7+sgrt2x=7
Jennifer had $80 to spend on herself. She spent 1/5 of the money on a sandwhich, 1/6 for a ticket to a museum, and 1/2 of it on a book. How much money does Jennifer have left over?
Answer:
$10.67
Step-by-step explanation:
Jennifer has a total amount of $80 to buy what she needs
1/5 of the money is spent on sandwich
= 1/5×80
= $16
The amount spent on sandwich is $16
1/6 of the money is spent on tickets to a museum
= 1/6×80
= 0.166×80
= $13.33
The amount spent on tickets is $13.33
1/2 of the money is spent on a book
= 1/2×80
= 0.5×80
= $40
The amount spent on a book is $40
Therefore, to calculate the amount left on her we add the total money spent and subtract it from the original amount of money that she has to spend
= $80-$16+$13.33+$40
= $80-$69.33
= $10.67
Hence the amount of money left on Jennifer is $10.67
Between 3 P.M and 3:30 P.M., the minute hand of a clock moves 180 degrees. How many degrees does the hour hand move during that same period of time?
Answer:
Between 3 P.M. and 3:30 P.M the hour hand moves 15°.
Step-by-step explanation:
The rotation of the minute hand of a clock between 3 P.M. and 3:30 P.M. is from the the 12 hour mark to the 6 hour mark which is half of one complete cycle
One complete cycle of clock rotation = 360° = 12 hours
Therefore, the hour hand rotates 360/12 = 30° for each hour
Given that the time between 3 P.M. and 3:30 P.M. is 30 minutes = 1/2 an hour
The rotation of the hour hand between 3 P.M. and 3:30 P.M = Half the rotation for 1 hour
∴ The rotation of the hour hand between 3 P.M. and 3:30 P.M = 30°/2 = 15°
Between 3 P.M. and 3:30 P.M the hour hand moves 15°.
find 3√27 +3√64 - 3√125
Answer:
the answer is approximately 6.047
A chord cuts off a 120 degree arc. If the radius of the circle is 26 inches, find the
chord length
Answer:
26sqrt(3)
Step-by-step explanation:
You end up with two 30-60-90 triangles.
26/2 = 13
2 * 13 * sqrt(3) = 26sqrt(3)