what is a counterexample to this claim?
Dividing a number by two always results in a smaller number.
A. the number is 8
B. the number is 5.
C. the number is 2
D. the number is 1.
E. the number is -1
Answers
Answer:
E. the number is -1
Step-by-step explanation:
We can go through all of these to see whether or not dividing by 2 results in a smaller number, then select the option that results in a larger number.
First, we'll look at A. 8 ÷ 2 = 4, which is smaller than 8, so this can't be the answer. Next, B. 5 ÷ 2 = 2.5, which is smaller than 5. We'll next look at C. 2 ÷ 2 = 1, and 1 is smaller than 2.
Alright, moving on to D. 1 ÷ 2 is 1/2 or 0.5, which is smaller than 1, and finally we'll take a look at E. -1 ÷ 2 = -1/2 or -0.5, which is indeed greater than -1, so we can deduce that this is the answer.
Let me know if you have any more questions! :)
Related Questions
You are baking chocolate chip cookies. The recipe asks for 3 3/4 cups of flour and you want to make 2 times the original recipe.
A. 1 1/2 cups
B. 30/4 cups
C. 7 2/4 cups
D. 7 1/2 cups
Answers
A. 1 1/2 cups
B. 30/4 cups
C. 7 2/4 cups
D. 7 1/2 cups
The answer will be d
Rural Speed Limits Rural speed limits for all 50 states are indicated below. 60 mph 65 mph 70 mph 75 mph 1 (HI) 18 18 13 Choose one state at random. Find the probability that its speed limit is a. 60 or 70 miles per hour b. Greater than 65 miles per hour c. 70 miles per hour or less
Answers
Answer:
\(P(60mph\ or\ 70mph) = 0.38\)
\(P(x>65mph) = 0.62\)
\(P(x \le 70mph) = 0.74\)
Step-by-step explanation:
Given
Speed Limits --- States
60 mph ---------- 1
65 mph ----------- 18
70 mph ----------- 18
75 mph ---------- 13
Total -------------- 50
Solving (a): Probability of 60mph or 70mph
This is represented as:
\(P(60mph\ or\ 70mph)\)
We only consider states with speed limits of 60 and 70mph.
So, we have:
\(P(60mph\ or\ 70mph) = P(60mph) + P(70mph)\)
\(P(60mph\ or\ 70mph) = \frac{1}{50} + \frac{18}{50}\)
Take L.C.M
\(P(60mph\ or\ 70mph) = \frac{1+18}{50}\)
\(P(60mph\ or\ 70mph) = \frac{19}{50}\)
\(P(60mph\ or\ 70mph) = 0.38\)
Solving (b): Greater than 65mph
This is represented as:
\(P(x>65mph)\)
We only consider states with speed limits of 70 and 75mph.
So, we have:
\(P(x>65mph) = P(70mph) + P(75mph)\)
This gives:
\(P(x>65mph) = \frac{18}{50} + \frac{13}{50}\)
Take L.C.M
\(P(x>65mph) = \frac{18+13}{50}\)
\(P(x>65mph) = \frac{31}{50}\)
\(P(x>65mph) = 0.62\)
Solving (c): 70mph or less
This is represented as:
\(P(x \le 70mph)\)
We only consider states with speed limits of 60, 65 and 70mph.
So, we have:
\(P(x \le 70mph) = P(60mph) + P(65mph) + P(70mph)\)
This gives:
\(P(x \le 70mph) = \frac{1}{50} + \frac{18}{50} + \frac{18}{50}\)
Take L.C.M
\(P(x \le 70mph) = \frac{1+18+18}{50}\)
\(P(x \le 70mph) = \frac{37}{50}\)
\(P(x \le 70mph) = 0.74\)
The box and whisker plot shows the recent test scores from WYVA Summit Math 6 class.
A. What is the interquartile range in a box-and-whisker plot?
B. What percent of the students got 80% or higher, which would be a B?
C. Write about Math: Using the interquartile range, explain how well the math class did on this test.
Answers
a. It represents the spread of the middle 50% of the data.
b. At least 50% of the students scored between 80 and 86.
c. Overall, we can say that the Math 6 class had a range of test scores, with some students performing very well and others performing less well.
What is interquartile range?How evenly distributed the middle 50% of the data is is determined by the interquartile range. In order to calculate it, the first quartile is subtracted from the third quartile.
A. The interquartile range (IQR) in a box-and-whisker plot is the distance between the first quartile (Q1) and the third quartile (Q3) of the data. It represents the spread of the middle 50% of the data.
B. To determine what percent of the students got 80% or higher, we need to find the upper fence, which is defined as 1.5 times the IQR above Q3. From the box-and-whisker plot, we can see that Q3 is approximately 86 and Q1 is approximately 71. Therefore, the IQR is 86 - 71 = 15. The upper fence is 1.5 * 15 + 86 = 108.5.
Looking at the plot, we can see that there are no data points above 100, so we can safely assume that no students scored above 100%. The highest score is 94, which is within the whiskers of the box-and-whisker plot. Therefore, we know that the percent of students who scored 80% or higher is between the percent of students who scored 80% or higher and the percent of students who scored 94% or higher.
From the plot, we can see that the median is approximately 80 and the third quartile (Q3) is approximately 86. This means that at least 50% of the students scored between 80 and 86. Additionally, we know that the maximum score is 94, so we can say that at least some students scored higher than 86. However, we don't know how many students scored between 86 and 94.
C. Based on the interquartile range, we can say that the middle 50% of the students scored between approximately 71 and 86. This suggests that there is a significant amount of variability in the test scores, as the range is quite wide. Additionally, we know that at least some students scored above 86, but we don't have enough information to determine how many or how high their scores were. Overall, we can say that the Math 6 class had a range of test scores, with some students performing very well and others performing less well.
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The hexagonal prism below has a height of 9 units and a volume of 216.9 units. Find the area of one of its bases.
Answers
Answer:
The answer is 24.1 unit²
Step-by-step explanation:
Volume of prisms=cross sectional area×h
cross sectional area=Volume of prisms/height
A=216.9/9
A=24.1 unit²
There are 360 calories in 9 bags of chips.How many calories are in 5 bags of those chips?
Answers
Answer:
200 calories
Step-by-step explanation:
360 ÷ 9 = 40
40 X 5 = 200
Answer:
there are 200 calories in 5 bags of chips
Step-by-step explanation:
divide 360÷9=40 and then multiply 40 times five equ3ald 200
You pick 4 baskets of strawberries. Each basket weighs 25.32 ounces. About how many ounces of strawberries did you pick?
120
200
110
100
Answers
101.28 strrawberries<33
Answer: around 100
Step-by-step explanation: since you have 25.32 ounces 4 times (for the 4 baskets) you multiply 25.32 by 4. that's 101.28, which you round down to 101 or since the answers look like they're going by 10s, the answer is 100
for each parallel lines. you are given the measure of one angle
Answers
Answer:
The question is not complete
Extrema interpreting functions
Answers
Answer:
In mathematics, the extrema of a function refer to the maximum and minimum values that the function can take on. These values can be local extrema, which occur within a certain range of the function, or global extrema, which are the maximum and minimum values over the entire domain of the function.
To find the extrema of a function, one can use a variety of techniques, such as taking the derivative of the function and setting it equal to zero to find the points of stationary values, or using the second derivative test to determine whether a stationary point is a local maximum or minimum.
Interpreting the extrema of a function can provide valuable information about the behavior of the function. For example, the global maximum of a function might represent the highest possible value that the function can attain, while the global minimum might represent the lowest possible value. Local extrema can also be important, as they can indicate changes in the slope or concavity of the function, which can have important implications for applications such as optimization or modeling real-world phenomena.
N
m
4
5
4
U
-
3-
Cu v
-5-4-3-2-1
2
-2
1 w
60
r
2345x
What is the domain of the function on the graph?
O all real numbers
O all real numbers greater than or equal to-2
O all real numbers greater than or equal to-5
O all real numbers greater than or equal to 0
Help please
Answers
Answer:
Step-by-step explanation:
Question
N
m
4
5
4
U
-
3-
Cu v
-5-4-3-2-1
2
-2
1 w
60
r
2345x
What is the domain of the function on the graph?
O all real numbers
O all real numbers greater than or equal to-2
O all real numbers greater than or equal to-5
O all real numbers greater than or equal to 0
Help please
At noon, a submarine was located at 5 12 meters below
sea level. In the next hour, it descended to an elevation
of -10.4 meters. What was the distance between the
submarine's initial and final elevation?
Answers
how to measure the area of a half moon
Answers
A=(pi•r^2)/4
Answer:
\(\frac{\pi r^2}{2}\)
Step-by-step explanation:
The area of a semicircle is half the area of a circle
The area of a circle is \(\pi r^2\), where r is the radius of the circle, and \(\pi\) is a mathematical constant, approximately 3.14. The area of the semicircle is half the area of the circle, or \(\frac{\pi r^2}{2}\).
What is (m+2z)^2+12tz
Answers
The expression \((m+2z)^2+12tz\) simplifies to \(m^2 + 4mz + 4z^2 + 12tz\)
The expression \((m+2z)^2+12tz\) represents a mathematical equation involving variables m and z, as well as the constant t.
To simplify the expression, we can expand the square and then combine like terms.
Expanding the square, we have:
\((m+2z)^2 = (m+2z)(m+2z) = m^2 + 4mz + 4z^2\)
Substituting this result back into the original expression, we have:
\((m+2z)^2 + 12tz = m^2 + 4mz + 4z^2 + 12tz\)
At this point, we have combined all the terms in the expression, and there are no more like terms to be simplified.
Therefore, the final simplified form of the expression \((m+2z)^2+12tz is m^2 + 4mz + 4z^2 + 12tz.\)
It is important to note that this simplified expression is still in terms of the original variables m, z, and t, and no further simplification can be done unless specific values are assigned to these variables.
This equation can be further manipulated or solved depending on the context or purpose it serves within a mathematical problem or equation system.
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Simplify the expression below.
(43+1)^3
A. 1223 + 1
B. 6432 + 1
C. 6413 + 48y2 + 16y + 3
D. 6413 + 4812 + 12y + 1
Answers
(08.03|08.04 HC)
For the regions A and B shown in the graph:
Part A: Discuss the limits of integration. (3 points)
Part B: Set up an integral expression that represents the total area. (4 points)
Part C: Calculate the total area. (3 points)
Answers
The total area from the graph is 2.737.
What is area?Area is the amount of space occupied by a two-dimensional figure. In other words, it is the quantity that measures the number of unit squares that cover the surface of a closed figure. The standard unit of area is square units which is generally represented as square inches, square feet, etc.
First of all, lets calculate the points of intersection (P, Q, R)
x²+3=(x+2) +5
x²-2=√(x+2)
x⁴+4-4x²=x+2
x⁴-4x²-x+2=0
(x-2)(x³+2x²-1)=0
(x-2)(x+1)(x²+x-1)=0
x=2, -1, -1±√(1+4)/2
Clearly, the x-coordinate of Q is -1, P is -1-√5/2, R is -1+√5/2, S is 2
So the limit of integration will be
P( (-1-√5)/2, (-1-√5/2)² +3)=P((-1-√5)/2, (3+√5/2))
Q(-1, (-1)²+3)=Q(-1, 4)
Area A:
\(\int\limits^\frac{3+\sqrt{5} }{2} _4 {-\sqrt{-y-3}-((y-5)^2 -2)} \, dx\)
= \([\frac{-(y-3)^\frac{3}{2} }{\frac{3}{2} }-\frac{(y-5)^3}{3}+3y]^{\frac{3+\sqrt{5} }{2} }_4\)
= 2.07
Area B:
\(\int\limits^\frac{-1+\sqrt{5} }{2} _4 {-\sqrt{x+2}+5-(x^2+3)} \, dx\)
= \([\frac{-(x+2)^\frac{3}{2} }{\frac{3}{2} }+5x-\frac{x^3}{3}-3x]^{\frac{-1+\sqrt{5} }{2} }_{-1}\)
= 0.667
Total area = 2.07+0.667
= 2.737
Therefore, the total area from the graph is 2.737.
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5/12x6/15=30/180
How do I simplify?
Answers
Answer:
0.167
Step-by-step explanation:
if you divide 30/180 it will get you a decimal of 0.166666667 but if you were to divide 180 by 30 you will get 6
technecaly your answer would be 0.166666667 but you only take the first number in the decimal which is 0.1 then take six 0.16 then add the 7 0.167
that should end up being your answer if i did the math right
Answer:
Step-by-step explanation:
5/12 * 6/15 =30/180
1/6=1/6
which is true, Right-hand side is equal to left-hand side
A farmer had two different sized rectangular gardens the smaller garden has. Alr the of 24 feet and width of 9 feet what is the area in square feet of the smaller garden
Answers
A= l x W
A= 24 x 9
A= 216
244-33456/3456*345+13.55-2=
Answers
The order of operations (PEMDAS) states that we should perform multiplication and division before addition and subtraction. Using this order, we get:
244 - (33456 / 3456) * 345 + 13.55 - 2
= 244 - 97.02 * 345 + 13.55 - 2
= 244 - 33494.1 + 13.55 - 2
= -33238.55
Therefore, 244-33456/3456*345+13.55-2 = -33238.55.
100 POINTS
A gardener already has five and one over two ft of fencing in his garage. He wants to fence in a square garden for his flowers. The length of one side of the garden will be three and three over four ft. How much more fencing will the gardener need to purchase?
one and three over four ft
nine and one over two ft
twelve and three over four ft
twenty and one over two ft
Answers
The additional fencing that the gardener needs to purchase is nine and one over two ft.
How much more fencing will the gardener need to purchase?A square is an object that has four sides that have equal length. The four angles in a square are right angles. The total length needed to fence the square garden would be equal to the perimeter of the garden. The perimeter of the garden is the sum of the length of the four sides of the garden.
Perimeter of the square garden = 4 x length
4 x 3 3/4
4 x 15/4 = 15 feet
The next step is to subtract the perimeter of the square garden from the fencing the gardener already has.
Fencing that should be purchased = 15 - 5 1/2 = 9 1/2 feet
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The length of a classroom is 43 feet. What is this measurement in yards and feet?
Answers
Answer: 43 ft = 14.333333 yd/and/or/43 ft = 14 yd 1 ft
Step-by-step explanation:
To convert a foot measurement to a yard measurement, divide the length by the conversion ratio.Since one yard is equal to 3 feet, you can use this simple formula to convert:
yards = feet ÷ 3
The length in yards is equal to the feet divided by 3.
Answer:14.3333 yards equals 43 feet 1 foot is equivalent to .333 yards
Step-by-step explanation:
4x - 5 > 3 OR -4x < -28
Answers
Answer: x=35
Step-by-step explanation:
Sarah had a sheet of paper that was 3 inches long and 7 inches wide. What is the perimeter of the paper
Answers
Answer: 20
Step-by-step explanation:
(3+7)*2 = 20
Answer:
20 square inches
Step-by-step explanation:
The farmer has 1 1/2 acres of
land for planting crops. She
plans to divide the acreage into
2 equal crops of corn and
wheat. How much acreage will
she use for planting each crop?
Answers
Answer:
3/4 acre
Step-by-step explanation:
1 1/1 = 3/2
3/2 ÷ 2 = 3/2 × 1/2 = 3/4
If a < b then ka < kb
Answers
In the situation below, indicate whether it makes more sense to use a relatively large significance level (such as α=0.10 ) or a relatively small significance level (such as α=0.01 ). Testing to see if a well-known company is lying in its advertising. If there is evidence that the company is lying, the Federal Trade Commission will file a lawsuit against them. Relatively large significance level Relatively small significance level
Answers
It makes more sense to use a relatively small significance level (such as α=0.01) in this situation. The reason is, the consequences of falsely accusing a well-known company of lying in their advertising could be significant, and filing a lawsuit is a serious action.
Therefore, it is important to have a high level of confidence in the evidence before taking such a step. A small significance level would ensure that the evidence gathered is statistically significant, reducing the likelihood of making a false accusation. On the other hand, a relatively large significance level (such as α=0.10) would increase the chances of a Type I error, which is the incorrect rejection of a true null hypothesis, potentially leading to false accusations and legal repercussions.
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The position of a particle moving in a straight line is given by s(t)=−12t^2+150t−17. At what time is the velocity zero? Round each answer to two decimal places. What is the position of the particle at this moment? Round each answer to two decimal places.
Answers
The position of the particle at the moment when the velocity is zero is -77.5, rounded to two decimal places.
The velocity of the particle is given by the derivative of the position with respect to time, so we have:
v(t) = ds(t)/dt = -12t + 150
For the velocity to be zero, we set v(t) = 0 and solve for t:
0 = -12t + 150
12t = 150
t = 150/12
t = 12.5
So, the velocity of the particle is zero at t = 12.5 seconds.
To find the position of the particle at this moment, we can substitute t = 12.5 into the equation for s(t):
s(12.5) = -12 * 12.5^2 + 150 * 12.5 - 17 = -12 * 156.25 + 1875 - 17 = -1937.5 + 1875 - 17 = -77.5
Therefore, the position of the particle at the moment when the velocity is zero is -77.5, rounded to two decimal places.
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A train can travel at a rate of 85 miles per hour. At this rate, how many hours will it take the train to go 102 miles
Answers
Answer:
\(Time = 1.2\ hours\)
Step-by-step explanation:
Given
\(Speed= 85\ miles/hour\)
Required
Determine the time for 102 miles
In this case, we make use of Speed formula as follows:
\(Speed = \frac{Distance}{Time}\)
This gives:
\(85 = \frac{102}{Time}\)
Solve for Time
\(Time = \frac{102}{85}\)
\(Time = 1.2\ hours\)
Hence, the time needed is 1.2 hours
Consider a tech company that wants to offer free breakfast to its employees if their confidence interval shows it will decrease the
proportion of employees who skip breakfast.
Each interval shows the difference in proportion of p₁ - P2 where p₁ represents the employees who skip breakfast when free
breakfast is offered and p2 represents the employees who skip breakfast when free breakfast is not offered. Determine if there is
enough evidence to suggest that offering free breakfast results in an increase in the proportion of employees who don't skip
breakfast.
(-0.44,-0.16)
Yes, we can be confident that employees will skip breakfast less when free breakfast is offered than when it's not.
Or
No, our confidence interval shows that there could be no difference in the proportion of employees who skip breakfast.
(-0.25, 0.05)
Yes, we can be confident that employees will skip breakfast less when free breakfast is offered than when it's not.
Or
No, our confidence interval shows that there could be no difference in the proportion of employees who skip breakfast.
(-0.23, 0.15)
Yes, we can be confident that employees will skip breakfast less when free breakfast is offered than when it's not.
Or
No, our confidence interval shows that there could be no difference in the proportion of employees who skip breakfast.
Answers
Answer:
Step-by-step explanation:
In this scenario, the confidence interval represents the possible range of differences in the proportion of employees who skip breakfast when free breakfast is offered and when it's not. A confidence interval that does not include zero indicates that there is statistically significant evidence to suggest a difference in proportions between these two groups.
Therefore, for the first interval (-0.44,-0.16), since it does not include zero, we can be confident that offering free breakfast results in a decrease in the proportion of employees who skip breakfast.
For the second interval (-0.25, 0.05), since it contains zero, we cannot be confident that there is a difference in the proportion of employees who skip breakfast between the two groups.
Similarly, for the third interval (-0.23, 0.15), since it contains zero, we cannot be confident that there is a difference in the proportion of employees who skip breakfast between the two groups.
So, the correct answer is:
For the interval (-0.44,-0.16), we can be confident that employees will skip breakfast less when free breakfast is offered than when it's not.
For the intervals (-0.25, 0.05) and (-0.23, 0.15), our confidence interval shows that there could be no difference in the proportion of employees who skip breakfast.
Please help! i have no clue what the answers are!
Answers
Answer:
1) 9
2) 27
3) Read explanation below!
Step-by-step explanation:
1) Use the Pythagorean theorem to find AD. Show your working
Pythagorean theorem = a²+b²=c²Where a = 12 and c=15 = 12²+?²=15²To find '?' we first have to expand the indices...
12² = 14415² = 225144 + ?² = 225Now work out '?'
225 - 144 = 81√81 = 92) Find AC. Show your working
We have found out that AD is 9 and to find AC we have to add 18!
9 + 18 = 273) Is ΔABC a right triangle? Explain
We can that ΔABC is not a right angle as none of the angles in the triangle are 90°! If it was a right angled triangle we would see the ∟sign on one of the angles. Even though there are two of those in the middle it does not count as the question is asking about ΔABC!!
Have a lovely day :)
Can anyone help on this???
Answers
Answer:
x=12
y=12√3
Step-by-step explanation:
I've attached the same picture from before because it gives you the answer
we can see that the hyptonouse is equal to 2a which means that
2a=24
which means that a=12
We see that the side opposite to the 30 is equal to a so
x=12
and the side opposite to 60 is a√3
or
12√3
Factor the trinomial: 2x^2+7x+3
Answers
Answer:
(x+3)(2x+1)
Step-by-step explanation:
2x^2 + 7x + 3
1st step) Multiply the 2 from 2x^2 with the 3
2nd step) Then when you get x^2 + 7x + 6, find the factors of 6 that add up to the 7 from 7x.
3rd step) The factors that add up to the 7 from 7x are 6 and 1. - these factors can be represented as (x+6)(x+1).
4th step) After this, since you multiplied the 2 from 2x^2 with the 3(shown in the first step), you must divide each each factor by the 2 from 2x^2.
5th step) Finally, you should get (x+3)(2x+1). - when dividing 1 and 2, the denominator(2) should be next to/multiply with x, and when dividing the numerator(6) and the 2 from 2x^2 together, you should get x+3 since 6 divided by 2 is 3.