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3. Which statement could be proven false using a counterexample?
A) All multiples of 4 are also multiples of 2.
B) There are no prime even numbers.

4. ) A counterexample must satisfy the hypothesis but refute the _____________.
A) converse
B) contrapositive
C) conclusion
D) congruence

Answer:

-16

Step-by-step explanation:

We are given the expression -3 * (7 + (-3)^2) / 3 then are asked to find the value.

Always consider PEMDAS :

Parenthesis

Exponenent

Multiplication

Division

Addition

Subtraction

So start with the parenthesis, the values we will focus on first is (7 + (-3)^2)

(-3)^2

9

(7 + 9)

16

So now we have -3 * 16 / 3

Multiplication is next :

-3 * 16

-48

Lastly, divide :

-48 / 3

-16

\( \huge \boxed{\mathfrak{Question} \downarrow}\)

\( \large \boxed{\mathfrak{Answer \: with \: Explanation} \downarrow}\)

\( \sf- 3 \cdot ( 7 + ( - 3 ) ^ { 2 } ) \div 3\)

Cancel out 3 and 3.

\( \sf-\left(7+\left(-3\right)^{2}\right) \)

To find the opposite of \(\sf7+\left(-3\right)^{2}\), find the opposite of each term.

\( \sf-7-\left(-3\right)^{2} \)

Calculate -3 to the power of 2 and get 9.

\( \sf-7-9 \)

Subtract 9 from -7 to get -16.

\( \boxed{ \boxed{\bf-16 }}\)

Answer:

24 degrees

Step-by-step explanation:

the difference between -12 and 12 is 24

because - 12 to 0 is 12,

and 0 to 12 is 12

12 + 12 is 24!

Answer:

Q.D.E=(5+2i).(5-2i).i = (25-4i²)i = 25i-4i³

Step-by-step explanation:

The value of P (factor of 10) is, 1/4.

The term probability refers to the likelihood of an event occurring. Probability means possibility. It is a branch of mathematics that deals with the occurrence of a random event. The value is expressed from zero to one.

We have to given that;

There ae 4 cards to select.

Now, In all 4 cards the factor of 10 is, 2

Hence, The probability to be the factor of 10 is,

⇒ 1 / 4

Thus, The value of P (factor of 10) is, 1/4.

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This statement is true, as the test statistic represents the number of standard deviations between the observed sample proportion and the claimed value (po) under the null hypothesis.

- The large value of the test statistic means that our observed data are not surprising when the null hypothesis is true. This statement is false. A large test statistic implies that the observed data is surprising when the null hypothesis is true, which means there is evidence against the null hypothesis.
- The researcher should fail to reject the null hypothesis. This statement is false. A large test statistic suggests evidence against the null hypothesis, so the researcher should reject the null hypothesis in favor of the alternative hypothesis.

- When the null hypothesis is true, the test statistic comes from a standard normal distribution. This statement is true, as the test statistic follows a standard normal distribution when the null hypothesis is true.
- There is a 4.318% chance that the alternative hypothesis is true. This statement is false. The test statistic does not directly provide the probability of the alternative hypothesis being true. Instead, we can use the test statistic to calculate the p-value, which represents the probability of obtaining a test statistic as extreme as the observed one, assuming the null hypothesis is true.

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Answer:

24

Step-by-step explanation:

rhombus area formula= (diagonal×diagonal)÷2

=6×8

=48÷2

=24

There were 3 numbers in the original collection Let's assume the original collection has "n" numbers.According to the given information, when the number 85 is removed, the average decreases by 1.

This means that the sum of the remaining numbers in the collection is now "n-1" less than the original sum. After removing 85, the average decreases by 1, so we can write the equation: (Sum of remaining numbers) / (n-1) = (Sum of original numbers) / n - 1 = (Average before) - 1. Next, it is stated that when the number 74 is removed from the remaining collection, the average does not change. This means that the sum of the remaining numbers after removing 74 is the same as before. So, we can write the equation: (Sum of remaining numbers) / (n-2) = (Sum of original numbers) / n - 2 = (Average before) = (Average after) - 1. From these two equations, we can equate the right-hand sides since the averages are the same: (Average before) - 1 = (Average after) - 1. Average before = Average after. Simplifying the equation, we get:(Average before) = (Average before) - 1. This equation is not possible unless the term "1" on both sides cancels out. Therefore, we conclude that the original collection had only 3 numbers.

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Answer:

8.06

Step-by-step explanation:

find the slope by

\(d=\sqrt{(5-1)^{2} + (3 - (-4))^{2} } \\\\ d= \sqrt{65} \\d= 8.062258\)

Step-by-step explanation:

So, it is a question of Arithmetic Progression.

Answer attached...

Hope it helps :)

Step-by-step explanation:

5.

normally no.

just think - we are talking about people. it's it possible to have half of a friend at a game ?

no, the input is not possible.

but if this function is used in the context or a larger analysis, and mean values are created and checked, then it might be valid.

it all depends on the context of how the function is used.

2.

we don't see all answer options, but the range is the interval or set of all valid y-values (the 2nd number in an ordered pair).

we see : -1, 3, 4, 6

whichever answer option shows this is correct.

Answer:

D

Step-by-step explanation:

C666666666666666666666

The sample mean for the number of years worked is 13.

The % of the employees in the sample who worked for the company for at least 10 years = 70%.

In the question, we are given the data showing the number of years that a random sample of 20 employees worked for an insurance company before retirement.

We are asked for the sample mean of the number of years worked.

It can be calculated as:

μ = ∑x/N,

or, μ = (8 + 13 + 15 + 3 + 13 + 28 + 4 + 12 + 4 + 26 + 29 + 3 + 10 + 3 + 17 + 13 + 15 + 15 + 23 + 13)/20,

or, μ = 267/20,

or, μ = 13.35 ≈ 13.

Thus, the sample mean for the number of years worked is 13.

We are asked for the % of the employees in the sample who worked for the company for at least 10 years.

The number of employees who worked for at least 10 years in the sample = 14.

The total number of employees in the sample = 20.

Thus, the % of the employees in the sample who worked for the company for at least 10 years = 14/20 * 100% = 70%.

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Answer:

32 years

Step-by-step explanation:

fist find how much of 6750 is 6.25%

6750 * .0625 = 421.875

then use trial and error until u get the number u want

421.875 * 10 = 4218.75 + 6750 = 1096875 NO

421.875 * 20 = 84375 + 6750 = 151875 NO

421.875 * 30 = 12656.25 + 6750 = 19406.25 NO

421.875 * 31 = 13078.125 + 6750 = 19828.125 NO

421.875 * 32 = 13500 + 6750 = 20250 YES

Answer:

The image does not pop up for me because im on a laptop so im sorry

Step-by-step explanation:

i kinda just need point

9

y^2= -4^2 = 16

16+x = 16-3 = 13

13+y = 13-4 = 9

Answer:

9

Step-by-step explanation:

y^2 + x + y

x = -3

y = -4

-4^2 + -3 + -4

16 + -3 + -4

13 + -4 = 9

Hope I helped :)

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Researchers engage in experimentation to exercise maximum control over the factors they are interested in studying.

Generally, experimenter trials are used to control the study's variables. The experimental approach entails changing one variable to see if it affects another variable. This approach uses controlled exploration methods and arbitrary subject selection to test a thesis.

For illustration, experimenters might be interested in changing how colorful visual patterns may affect our perception. They might also consider whether specific actions can enhance memory. Multitudinous behavioral issues are the subject of trials, some of which include cognition, emotion, memory, perception, and sensation.

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Answer:

4.123

Step-by-step explanation:

Just have to think what times itself = 17 and I thought well Istill close to 4 and then I just did the work

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The surface area of the cuboid is 76 cm²

The surface area of a three-dimensional object is the sum of the area of all the outer surfaces, it is also measured in square units.

A cuboid is a solid shape or a three-dimensional shape.

The surface area of a cuboid is expressed as;

SA = 2(lb + bh + lh)

here,

l = 5cm

b = 4cm

h = 2cm

SA = 2( 5×2 + 5×4 + 4×2)

SA = 2( 10 +20 +8)

SA = 2( 38)

SA = 76 cm²

Therefore the surface area of the cuboid is 76 cm².

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Answer:

a. 99817

Step-by-step explanation:

The 9 in the thousands place is larger than the 8 in the thousands place in the other two options.

Hope this helps!

Answer: True

Angles are congruent if they have the same angle measure in degrees. They can be at any orientation on the plane. In the figure above, there are two congruent angles. Note they are pointing in different directions.

The calculated values are:

a) Percentage uncertainty in r = 2.0%

b) Percentage uncertainty in A = 4.0%

c) Absolute uncertainty in A ≈ 12.56 cm^2

To calculate the requested values, we'll follow these steps:

a) Percentage uncertainty in r:

Percentage uncertainty = (Absolute uncertainty / Measured value) * 100

Absolute uncertainty = ±0.2 cm

Measured value = 10.0 cm

Percentage uncertainty in r = (0.2 / 10.0) * 100 = 2.0%

b) Percentage uncertainty in A:

Since r is squared in the formula, the percentage uncertainty in A will be twice the percentage uncertainty in r.

Percentage uncertainty in A = 2 * Percentage uncertainty in r = 2 * 2.0% = 4.0%

c) Absolute uncertainty in A:

To convert the percentage uncertainty in A to absolute uncertainty, we'll use the following formula:

Absolute uncertainty = (Percentage uncertainty / 100) * Measured value

Percentage uncertainty in A = 4.0%

Measured value of A = 314 cm^2

Absolute uncertainty in A = (4.0 / 100) * 314 = 12.56 cm^2

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a. The sampling method that I would use for the given scenario is stratified random sampling.

b. The sampling method that I would use for the given scenario is systematic sampling.

Stratified random sampling is the most effective way to get accurate results in this situation. The university wants to conduct a mail survey of its alumni to collect information about their current employment status to justify charging a higher tuition rate than other universities. Stratified random sampling divides the population into strata based on certain characteristics.

In this case, strata would be the alumni that have different degrees from the university. The information collected through this method will be more representative of the population than simple random sampling. It ensures that each stratum is represented accurately in the sample. It also minimizes the variability within each stratum. It is an effective way of ensuring that each stratum is properly represented.  

Systematic sampling involves selecting every kth element from a list of the population. In this situation, the Environmental Protection Agency (EPA) wants to inspect a sample of 1000 containers from the 40,000 containers known to be in landfills to determine if leakage from the containers has occurred. As the exact location of the containers is no longer known, systematic sampling can be used.

EPA can select every 40th container from the list of the population, as 40,000/1000 = 40. In this way, they will have a random sample of 1000 containers from the 40,000 containers. This sampling method is less time-consuming and more cost-effective than other sampling methods. It also ensures the sample is representative of the entire population.

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The Expected value of M is 65

The Standard error of M is 5

Given,

The sample score, n = 9

The Standard deviation, σ = 15

Population mean, μ = 65

Then,

The Expected value of M = μ

∴ The Expected value of M = 65

The Standard error of M = σ/\(\sqrt{n}\)

                                          \(=\frac{15}{\sqrt{9} } \\\\=\frac{15}{3} \\=5\)

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Answer:

1 and 2.

Midpoints calculated, plotted and connected to make the triangle DEF, see the attached.

3.

As per definition, midsegment is parallel to a side.

Parallel lines have same slope.

Find slopes of FD and CB and compare.

Find the slopes of FE and AB and compare.

Find the slopes of DE and AC and compare.

4.

As per definition, midsegment is half the parallel side.

We'll show that FD = 1/2CB

FE = 1/2AB

DE = 1/2AC

Answer: x=5

Step-by-step explanation:

By Equating y1 with y2-

-1/2x + 3 = 1/2x - 2

x = 3+2

x = 5

\(there \: is \: not \: any \: solutin \: for \: it \\ x + 2 = x + 6 \\ 2 = 6 \: is \: wrong\)

180

First, let's state what we are given:

Then we convert the decimal to standard form and solve:

(2x10^6) x (0.00009)​ = 180

Answer:

The solution to the system of equations is x = 4 and y = 2.

Step-by-step explanation:

From statement we know that the first line is \(y = 0.5\cdot x\). The second line is determined by knowing two distinct points and solving the resulting system of equations by definition of the equation of the line:

\((x_{1},y_{1}) = (3,1)\) and \((x_{2}, y_{2}) =(-5,-7)\)

\(3\cdot m + b = 1\) (1)

\(-5\cdot m + b = -7\) (2)

The solution of the system of equations is:

\(m = 1\), \(b = -2\)

The second line is represented by \(y = x-2\). And the resulting system of equations is:

\(0.5\cdot x -y = 0\) (3)

\(x-y = 2\) (4)

The soltuion to the system of equations is:

\(x = 4\), \(y = 2\)

The solution to the system of equations is x = 4 and y = 2.

Put the values

The answer to the equation is  3698

(6x)² - x/5 for x=10

= (6× 10)² - 10/5

= 3600 - 2

=3698

the equation is a statement that indicates that two expressions consisting of variables or numbers are equal. Essentially, equations are problems, and the development of mathematics has been driven by attempts to find answers to these problems in a systematic way.

An equation is defined as a state of equality, often expressed as a mathematical formula in which the values ​​on both sides are equal, or refers to problems that require much consideration. An example equation is 2+2 = 3+1.

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