Read Fred's conclusion. If the sum of the digits of a number is a multiple of 3. then the number is a multiple of 6. Which statement best summarizes Fred's conclusion? The conclusion is true.
A .The number 42 is an example The conclusion is true.
B There are no counterexamples The is false.
C There are no counterexamples. The conclusion is false.
D The number 45 is a counterexample
Answers
Answer:
the answer would be a because 42÷6=7 and 42÷3=14.
The correct answer is option A) The number 42 is an example The conclusion is true.
42 is a multiple of both 3 and 6.
How many does multiple mean?
Containing more than once, or more than one; consisting of more than one; manifold; repeated many times; having several, or many, parts.
What is a multiple in math?A multiple in math is the number you get when you multiply a certain number by an integer. For example, multiples of 5 are: 10, 15, 20, 25, 30…etc. Multiples of 7 are: 14, 21, 28, 35, 42, 49…etc.
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Related Questions
What is the value of 3(4x − 8) − 6y if x = −2 and y = 6?
−132
−84
12
18
Answers
The perimeter of a rectangular swimming pool is 154m.its lengh is 2m more than twice its breadth.what is the length and breadth of the pool (also find the equation and use transpose method)
Answers
Let's denote the length of the pool as L and the breadth as B.
According to the given information, the perimeter of the rectangular swimming pool is 154m. The formula for the perimeter of a rectangle is given by:
\(\displaystyle\sf P = 2(L + B)\)
Substituting the given value of the perimeter, we have:
\(\displaystyle\sf 154 = 2(L + B)\)
Dividing both sides of the equation by 2, we get:
\(\displaystyle\sf 77 = L + B\)
We are also given that the length of the pool is 2m more than twice its breadth. Mathematically, we can express this as:
\(\displaystyle\sf L = 2B + 2\)
Now we can substitute this value of L in terms of B into the equation we obtained earlier:
\(\displaystyle\sf 77 = (2B + 2) + B\)
Simplifying the equation, we have:
\(\displaystyle\sf 77 = 3B + 2\)
Subtracting 2 from both sides of the equation, we get:
\(\displaystyle\sf 75 = 3B\)
Dividing both sides of the equation by 3, we obtain:
\(\displaystyle\sf B = 25\)
Now we can substitute this value of B into the equation for L:
\(\displaystyle\sf L = 2(25) + 2\)
Simplifying the equation, we have:
\(\displaystyle\sf L = 52\)
Therefore, the length of the pool is 52m and the breadth is 25m.
Using the transpose method, we can rearrange the equation \(\displaystyle\sf 77 = L + B\) to solve for L:
\(\displaystyle\sf L = 77 - B\)
Then, substituting this expression for L in the equation \(\displaystyle\sf L = 2B + 2\), we have:
\(\displaystyle\sf 77 - B = 2B + 2\)
Adding B to both sides of the equation, we get:
\(\displaystyle\sf 77 = 3B + 2\)
Subtracting 2 from both sides of the equation, we obtain:
\(\displaystyle\sf 75 = 3B\)
Finally, dividing both sides of the equation by 3, we find:
\(\displaystyle\sf B = 25\)
By substituting this value of B back into the equation \(\displaystyle\sf L = 77 - B\), we get:
\(\displaystyle\sf L = 77 - 25 = 52\)
Hence, the length of the pool is 52m and the breadth is 25m.
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What is the slope of the line graphed below?
Answers
Answer:
d. -3
Step-by-step explanation:
in circle c shown below a tangent has been drawn at point A. if measure angle CBA = 28, then explain why the measure of angle DAB must equal 62 degrees.
Answers
Answer:
it is the complement of 28°
Step-by-step explanation:
Angle DAB made by a tangent and a chord to the point of tangency is equivalent to every other inscribed angle that intercepts the same arc. Those angles have half the measure of the central angle ACB intercepting the same arc.
In isosceles triangle ABC the base angles (shown as 28°) are the complement of half the measure of the central angle. Hence angle DAB will be the complement of the angle marked 28°.
angle DAB = 90° -28° = 62°
Irinkers or both? Acme electronics manufactures MP3 players at three locations. The plant 50% of the MP3 players and 1% are defective. The plant at Memphis manu that plant are defective. The plant at Fort Meyers manufactures 20% and 3% If an MP3 player is selected at random, what is the probability that it is defe Refer to Problem 6.101. An MP3 player is found to be defective. What is th manufactured in Fort Meyers?
Answers
The probability that an MP3 player manufactured in Fort Meyers is defective is 0.37%.
To calculate the probability that an MP3 player is defective, we need to consider the manufacturing plants and their respective defect rates.
Given:
Plant at Memphis manufactures 50% of the MP3 players, and 1% of those manufactured at that plant are defective.
Plant at Fort Meyers manufactures 20% of the MP3 players, and 3% of those manufactured at that plant are defective.
No information is provided about the defect rate of the third plant.
To find the overall probability of an MP3 player being defective, we need to consider the probability of selecting a defective player from each plant and then weigh it by the probability of selecting a player from each plant.
Let's calculate the overall probability:
Probability of selecting a defective player from Memphis plant = 50% * 1% = 0.50% or 0.005 (since 50% is equivalent to 0.50 in decimal form)
Probability of selecting a defective player from Fort Meyers plant = 20% * 3% = 0.60% or 0.006 (since 20% is equivalent to 0.20 in decimal form)
To calculate the overall probability, we need to weigh these probabilities by the probability of selecting an MP3 player from each plant:
Probability of selecting from Memphis plant = 50% = 0.50 (decimal form)
Probability of selecting from Fort Meyers plant = 20% = 0.20 (decimal form)
Overall probability of selecting a defective MP3 player is given by:
Overall probability = (Probability from Memphis plant * Probability of selecting a defective player from Memphis) + (Probability from Fort Meyers plant * Probability of selecting a defective player from Fort Meyers)
Overall probability = (0.50 * 0.005) + (0.20 * 0.006) = 0.0025 + 0.0012 = 0.0037 or 0.37%
Therefore, the probability that an MP3 player, manufactured in Fort Meyers, is defective is 0.37%.
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A quality-control engineer samples 100 items manufactured by a certain process, and finds that 15 of them are defective. True or False:
a) The probability that an item produced by this process is defective is 0.15.
b) The probability that an item produced by this process is defective is likely to be close to 0.15, but not exactly equal to 0.15.
Answers
Answer: b) The probability that an item produced by this process is defective is likely to be close to 0.15, but not exactly equal to 0.15.
Step-by-step explanation:
Given that:
Number of samples = 100
Number of defective samples = 15
Proportion =number defective samples / total samples
P = 15 / 100 = 0.15
Hence, the probability that an item produces is defective is 0.15.
However, due to sampling Variations, the probability will be corrected for these variations. Hence, probability that an item produced by this process is defective is likely to be close to 0.15, but not exactly equal to 0.15.
The numbers of licensed drivers in four samples taken from a population of
students are shown in the table below. Which of the following choices is most
likely closest to the percentage of students in the population who are
licensed drivers?
Sample Size Number of Licensed Drivers
25
7
50
12
75
15
100
16
O A. 16%
O B. 20%
ОООО
C. 24%
O D. 28%
Answers
Answer:
The answer is 16% I just took the test
Step-by-step explanation:
I need help on this question?
Answers
Option D. It is an odd polynomial
How is the polynomial odd and negativeA polynomial function is a type of mathematical function that is defined by a sum of powers in one or more variables, where the powers are non-negative integers.
In other words, a polynomial function is a function that can be expressed as a sum of terms, each of which is a constant multiplied by a variable raised to a non-negative integer power.
When we have the constant at x = 0, the value of y is a negative value at y = -1
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Find the third iterate x3 of f(x) = 2x + 3
for an initial value of x0 = 2
a. 7
b. 15
c. 17
d. 37
Answers
For the function f(x) = 2x + 3 the third iterate x₃ is 37
To find the third iterate, x3, of the function f(x) = 2x + 3, given an initial value of x₀ = 2,
we can apply the function repeatedly.
Starting with x₀ = 2:
x₁ = f(x₀)
= 2(2) + 3
= 7
x₂ = f(x₁)
= 2(7) + 3 = 17
x₃ = f(x₂)
= 2(17) + 3
= 37
Therefore, the third iterate x₃ is 37.
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The absolute value of the dilation factor is the ratio of each side length of the dilated quadrilateral to the corresponding side length of the preimage. How does the ratio of the perimeters in parts B and D compare with the ratio of corresponding side lengths
Answers
9514 1404 393
Answer:
perimeter ratio = dilation factor
Step-by-step explanation:
In general, all linear dimensions are scaled by the dilation factor. This includes lengths of sides, perimeter, circumference, diameter, radius, or any other 1-dimensional (length) measure of a figure.
The ratio of perimeters is equal to the ratio of side lengths.
from 12 teachers to 48 teachers rounded to the nearest percent
Answers
Answer:
20%
Step-by-step explanation:
i don't know if this it what you want bc there isn't enough info. 12+48=60
12/60=1/5
1/5=.2
.2=20%
Maria has 9 boxes that each weigh 78 pound.
How many pounds do the boxes weigh altogether?
Answers
Answer:
702 pounds
Step-by-step explanation:
9 * 78 = 702
Answer:
If Maria has 9 boxes that each weigh 78 pounds, in total the boxes would weigh 702 pounds.
Step-by-step explanation:
9 x 72 = 702 pounds
Your welcome! :)
what is the value of x
Answers
Answer:
x could be anything
Step-by-step explanation:
A stack of bricks has a
base with an area of 38
inches. If the height is 12
inches, then what is the
volume?
Answers
Answer: 456 inched cubed
The Explanation: Basically, we are going to take the base area which is 38 and multiply that by a height of 12.
38 x 12 = 456
The numbers 1-11 are placed in a bag. What is the probability of drawing a prime number?
Answers
Answer:
1 3 5 7 11 are all prime numbers and out of 11 numbers, 5 are prime so 5/11
Step-by-step explanation:
Give me brainiest answer please! :D
Select the geometric figure that fits the following description.
the collection of all points that are equidistant from a given point
Answers
Choice D is correct
Every point on circle is equidistant from the point at its centre and that fixed distance = radius of that circle.
The mean of a distribution is 23, the median is 28, and the mode is 28. It is most likely that this distribution is.
Answers
A skewness value of -1.25 indicates that the distribution is right-skewed, which is consistent with the given information. The mean is less than the median and the mode, which is usually the case for a right-skewed distribution.
This distribution is likely skewed to the right. Skewness is a measure of asymmetry of a distribution, and a right-skewed distribution has a mean that is less than the median, which is less than the mode. In this case, the mean is 23, the median is 28, and the mode is 28.
To calculate skewness of a distribution, we use the following formula:
Skewness = (3 * (mean - median)) / Standard Deviation
To calculate the standard deviation, we can use the following formula:
Standard Deviation = √[∑(X - Mean)2 / N]
Where X is the value of each observation and N is the number of observations.
Using the given information, we can calculate the skewness as follows:
Skewness = (3 * (23 - 28)) / Standard Deviation
Skewness = -1.25
A skewness value of -1.25 indicates that the distribution is right-skewed, which is consistent with the given information. The mean is less than the median and the mode, which is usually the case for a right-skewed distribution.
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.
Five more than the product of a number and 8 equals 9.
Use the variable b for the unknown number.
Answers
The unknown number, represented by the variable b, is 1/2, which satisfies the equation "Five more than the product of a number and 8 equals 9."
To solve the equation "Five more than the product of a number and 8 equals 9" using the variable b for the unknown number, we can express this statement as an equation:
8b + 5 = 9
To solve for b, we need to isolate the variable on one side of the equation. Let's simplify the equation step by step:
Subtract 5 from both sides to get rid of the constant term:
8b + 5 - 5 = 9 - 5
8b = 4
Divide both sides of the equation by 8 to solve for b:
8b/8 = 4/8
b = 1/2
Therefore, the solution to the equation is b = 1/2. This means that when we substitute b = 1/2 into the equation, the equation will hold true:
8(1/2) + 5 = 9
4 + 5 = 9
Both sides of the equation are equal, confirming that b = 1/2 is the solution.
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if one student is chosen at random, find the probability that the student was not a female and did not earn grade C.Giving a test to a group of students, the table below summarizes the grade earned by gender. Male Female Total А 16 19 35 B 18 6 24 с 17 10 27 Total 51 35 86 If one student is chosen at random, find the probability that the student was not a female and did not earn grade C. Round your answer to four decimal places.
Answers
The Probability that the student was not a female and did not earn grade C is 34/59.
What is Probability?Probability refers to potential. A random event's occurrence is the subject of this area of mathematics.
The range of the value is 0 to 1. Mathematics has incorporated probability to forecast the likelihood of various events.
The degree to which something is likely to happen is basically what probability means.
Given:
A B C Total
Male 16 18 17 51
Female 19 6 10 35
Total 35 24 27 86
Total number of non-female students who got a A and B : 34
Total number of students who got a A and B: 35+24= 59
So, the probability is
= 34/ 59
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What would be the equation for a line that is perpendicular to a line of Y = 3X +2
Answers
The equation of the perpendicular line is y = -1/3x
How to determine the perpendicular line equation?From the question, we have the following parameters that can be used in our computation:
y = 3x + 2
The equation of a line can be represented as
y = mx + c
Where
Slope = m
By comparing the equations, we have the following
m = 3
This means that the slope is 2
The slopes of perpendicular lines are opposite reciprocals
This means that the slope of the other line is -1/3
The equation of the line is then calculated as
y = mx
Where
m = -1/3
So, we have
y = -1/3x
Hence, the line has an equation of y = -1/3x
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You have a job earning $1500 a month, m. What expression represents
the total amount you've earned?
Answers
Answer:
1500m is your answer
Answer:
1500m
Step-by-step explanation:
The number of months is m.
In m months, you earn $1500 * m.
The expression is
1500m
- Systems of Linear Equations & Inequalities
At the movie theater, The Holt family bought two bags of popcorn and 3 drinks and paid $24.25. The family behind them paid $14 for 1 bag of popcorn and 2 drinks. How much does the drink cost?
•$2.75
•$3.50
•$3.75
•$6.50
Answers
Answer:
3.50
Step-by-step explanation:
because first we will divide 14 by the number of popcorns and 1 drink inn which we get 7 and then we will dive by the number of popcorns we will then get 3.50 that is the answer.
write 464000 in correct scientific notation
Answers
Answer:
The scientific notation is a method of writing very large or very small numbers in a more compact and easy to read format. It is expressed in the form of a x 10^n, where "a" is a number between 1 and 10, and "n" is an integer.
To write 464000 in correct scientific notation, we need to move the decimal point to the left until we get a number between 1 and 10. We count the number of places we moved the decimal point, and that will be the exponent of 10.
So, we can write 464000 as:
4.64 x 10^5
Therefore, the correct scientific notation of 464000 is 4.64 x 10^5.
Step-by-step explanation:
What does ''X'' mean
Answers
Answer:
x is a variable, it can be ANY NUMBER
Step-by-step explanation:
Need help with this equation 8x²+10x-3
Answers
Answer:
Step-by-step explanation:
You have to use the quadratic formula
x = -b +/- \(\sqrt{(b^{2} -4ac)/2a\)
and then you can simplify both answers so the first one would be -13/2 and the second would be -27/2
you usually have to reject an answer but since there is no equal sign in the question, you should be fine
HELPPPPOP PLEASEEE ILL GIVE BRAINLIEST!!!!
question 4. Solve each compound inequality.
Answers
Answer:
-7/2≤x<3
Hope this helps!
Answer:
Step-by-step explanation:
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100 Points! Algebra question. Graph the function. Thank you!
Answers
The graph of the function is attached
The amplitude and the period are 5 and 2π
How to determine the amplitude and period of the functionFrom the question, we have the following parameters that can be used in our computation:
f(x) = 5cos(θ)
A sinusoidal function is represented as
f(x) = Acos(B(x + C)) + D
Where
Amplitude = APeriod = 2π/BSo, we have
A = 5
Period = 2π/1
Evaluate
A = 5
Period = 2π
Hence, the amplitude is 5 and the period is 2π
The graph of the function is attached
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Find the value of x. Round to the nearest tenth.
Answers
Answer:
x = 11.8
Step-by-step explanation:
Side a = 11.78983
Side b = 3
Side c = 10
Angle ∠A = 120° = 2.0944 rad = 2/3π
Angle ∠B = 12.731° = 12°43'50" = 0.22219 rad
Angle ∠C = 47.269° = 47°16'10" = 0.82501 rad
The answer for x is 11.8
Having a hard figuring this one out
Answers
During the party josie decides to make some more. She has 6 litres of fruit juice left and plenty of lemonade. How much extra punch can she make
Answers
Answer:
25 extra litres
Step-by-step explanation:
Ratio 2:3
2+3=5 so 35/5 =7
7x2 means she used 14 litres of fruit juice
7x3 means she used 21 litres of lemonade
if she has 10 litres of fruit juice left then she can use 10/2=5 5x3=15 15 litres of lemonade
10+15=25 so she can make 25 extra litres