Make in hypothesis and conclusion in the negative statement.
If the triangle is equilateral,then it is equiangular.

Answer:

\(3\)

Step-by-step explanation:

\(\mathrm{The\ slope\ of\ a\ line\ passing\ through\ the\ points\ (x_1,y_1)\ and\ (y_2,y_1)\ is\ given\ by:}\\\mathrm{Slope(m)=\frac{y_2-y_1}{x_2-x_1}}\\\\\mathrm{According\ to\ the\ question,}\\\mathrm{(x_1,y_1)=(0,-2)}\\\mathrm{(x_2,y_2)=(-2,-8)}\)

\(\mathrm{Therefore\ the\ slope=\frac{-8-(-2)}{-2-0}=\frac{-8+2}{-2}=3}\)

Question 1: Degrees of freedom differ (False) Question 3: Best test for mean difference (ANOVA) Question 4: Yankees vs Red Sox (Independent t-test) Question 5: ANOVA is an omnibus test (True) Question 6: Larger sample, more significant (Significant) Question 7: T-test results can differ (True) Question 8: Larger t, more likely significant (False) Question 9: Small sample, use t-distribution (Small)

Question 1: The statement is False. The degrees of freedom for ANOVA and independent samples t-test are not the same. In ANOVA, the degrees of freedom are calculated differently than in an independent samples t-test.
Question 3: The best test to determine if there is a mean difference between people from Canada, Zimbabwe, and Germany would be ANOVA. ANOVA is used to compare the means of more than two groups.

Question 4: To determine if there is a mean difference between the number of hours spent watching baseball for Yankees fans and Red Sox fans, you would most likely want to run an Independent samples t-test. This test compares the means of two independent groups.
Question 5: The statement is True. ANOVA is an omnibus test because it examines whether there are any differences among the means of multiple groups.

Question 6: As sample size increases, t-tests are more likely to be significant. With a larger sample size, there is more power to detect small differences between means.
Question 7: The statement is True. It is possible for t-test 2 to be nonsignificant while t-test 1 is significant. This could occur if the mean difference in t-test 2 is not statistically significant, but the mean difference in t-test 1 is.

Question 8: The statement is False. The larger the t-statistic, the more likely it is to be significant. A larger t-statistic indicates a larger difference between means, which is more likely to be statistically significant.
Question 9: If our sample size is small, we often turn to the t-distribution. The t-distribution is used when the sample size is small and the population standard deviation is unknown.

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Answer:

a = 15b

Step-by-step explanation:

It's given in the question that Alice has 15 times as many crayons as Bryan.

Let the number of crayons with Bryan = b

And the number of crayons with Alice = a

Therefore, equation representing the number of crayons with Alice will be,

a = 15b

Answer: 7+3/4x >= 31

Step-by-step explanation: 7 more = +7

three - fourths of a number = 3/4 x

no less than = >= (more than or equal to sign)

Answer: -13

Step-by-step explanation:

\(\frac{M(3)+M(2)}{2} =\frac{[-2(3)^{2}] +[-2(2)^{2}]}{2}=\frac{(-2)(9)+(-2)(4)}{2}=\frac{-18-8}{2}=\frac{-26}{2}=-13\)

Answer:

f(-6) = 72

Step-by-step explanation:

We are given the function f(x)=2x², and want to find the value of f(-6).

Finding f(-6) means that we want to evaluate the function for when x is equal to -6. In other words, we need to substitute -6 as x (in 2x^2).

So, substitute -6 as x.

 f(-6)=2(-6)²

Now, we must follow the order of operations here (PEMDAS, or any other similar abbreviation, depending on your location), meaning that we should take care of the exponent first.

So, raise -6 to the 2nd power (ignore the 2 in front of (-6)² for now).

f(-6)=2(-6)² = -6 * -6 = 36

Now multiply 36 by 2.

f(6) = 2 * 36 = 72

That means f(-6) = 72.

Answer:

1

Step-by-step explanation:

Anything to the power of zero is = 1

Answer: the answer is 1

Step-by-step explanation:

If many random samples of this size were taken and intervals constructed, 90% of them would contain the true population mean. In repeated sampling, about 90% of the constructed confidence intervals will capture the true population mean difference. The correct answer is C.

When we construct a confidence interval, it is important to understand its interpretation. In this case, the correct answer (Oc) states that if we were to take many random samples of the same size and construct confidence intervals for each sample, approximately 90% of these intervals would contain the true population mean difference.

This interpretation is based on the concept of sampling variability. Due to random sampling, different samples from the same population will yield slightly different sample means.

The confidence interval accounts for this variability by providing a range of values within which we can reasonably expect the true population mean difference to fall a certain percentage of the time.

In the given scenario, when constructing a 90% confidence interval for the paired difference, it means that 90% of the intervals we construct from repeated samples will successfully capture the true population mean difference, while 10% of the intervals may not contain the true value.

It's important to note that this interpretation does not imply a probability or chance for an individual interval to capture the true population mean. Once the interval is constructed, it either does or does not contain the true value. The confidence level refers to the long-term behavior of the intervals when repeated sampling is considered.

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Let the original price of the item be X.

In one week, the price is halved and becomes (1/2)X.

In two weeks, the price is halved again and becomes (1/4)X, which is only 75% off.

The period of the graph of the function \(\(y = 2\cos\left(\frac{\pi}{2}x\)+3\))\) is 4.

The period of a cosine function is the distance it takes for the function to complete one full cycle or repeat itself. In this case, we have the function \(\(y = 2\cos\left(\frac{\pi}{2}x\)+3\))\).

The general form of the cosine function is \(\(y = A\cos(Bx+C) + D\)\), where A represents the amplitude, B represents the frequency or the reciprocal of the period, C represents the phase shift, and D represents the vertical shift.

Comparing our given function with the general form, we can see that A = 2, \(B = \(\frac{\pi}{2}\)\), C = 0, and D = 3.

The frequency or the reciprocal of the period is given by B. In this case, \(B = \(\frac{\pi}{2}\)\).

To find the period, we can use the formula:

Period = \(\(\frac{2\pi}{|B|}\)\)

Substituting the value of B, we get:

Period = \(\(\frac{2\pi}{\left|\frac{\pi}{2}\right|}\)\)

Simplifying further:

Period = \(\(\frac{2\pi}{\frac{\pi}{2}}\)\)

Period = 4

Therefore, the period of the graph of the function \(\(y = 2\cos\left(\frac{\pi}{2}x\)+3\))\) is 4.

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To find the probability that a sample of 140 steady smokers spend between $19 and $21, we can use the standard normal distribution.

First, we need to calculate the standard error of the mean (SEM) using the formula SEM = \(σ / √n\), where σ is the population standard deviation and n is the sample size. In this case, \(σ\)= $7 and n = 140. So, SEM = $7 / \(√140\).

Next, we need to convert the values $19 and $21 to z-scores using the formula z = \((x - μ)\)/ SEM, where x is the value, μ is the population mean, and SEM is the standard error of the mean. For $19, z = ($19 - $20) / SEM, and for $21, z = ($21 - $20) / SEM.

Using z-scores, we can find the probabilities associated with each z-score using a standard normal distribution table or a calculator. In this case, we want to find the probability that z is between the two z-scores.

Finally, we subtract the lower probability from the higher probability to find the probability that a sample of 140 steady smokers spend between $19 and $21.

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The Order of Operations (also known as PEMDAS) states that we need to perform Parentheses.

The numeric expression that correctly shows the amount that each member will make is:

(500 - 80) ÷ 4

First, we need to perform the subtraction inside the parentheses: 500 - 80 = 420.

Then, we can perform the division: 420 ÷ 4 = 105.

Therefore, each member will make $105.

This follows the Order of Operations (also known as PEMDAS) which states that we need to perform Parentheses, Exponents, Multiplication and Division (from left to right), and finally Addition and Subtraction (from left to right). So, we perform the subtraction first inside the parentheses and then the division.

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The number of years the money was invested with annual compounding is 3.45 years.

When an amount earn interest compounded annually, it means that both the amount invested and the interest earned increases in value once a year.

Number of years =  (In FV / PV) / r

Where:

(In 7255 / 6000) 0.055 = 3.45 years

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Answer:

49th term = 225

Step-by-step explanation:

The following sequence: -15, -10, -5, 0, -5... is an example of an arithmetic progression.

An arithmetic progression or AP for short, is a sequence in which the difference between successive terms is constant. This difference is known as the common difference, and can be found by subtracting a term by its preceding term.

The general formula, for the nth term of an arithmetic progression, is thus:

Tn = a + (n - 1)d, where a = first term, and d = common difference.

In the sequence: -15, -10, -5, 0, 5...,

a = -15, and d = -10--15 = 5

T49 = -15 + (49 - 1)5 = 225

∴ 49th term = 225

Answer:

Step-by-step explanation:

okay so you can take any two points 1 x one y in the form (x, y) and (x, y) so

(2, 5) and (4, 1)

then use the slope formula y2-y1/ x2 -x1

1-5+=4

4-2=2

slope equals 4/2 simplified equals 2

I THINKKKKK!

Answer:

11 rides

Step-by-step explanation:

First Step - Subtract 6 from 40 because that will not be of use for now.

40-6=34

Next Step - divide 34 by 3 to find the number of rides.

(you will end up with a decimal so I rounded it up to a whole number.)

34/3=11 (rounded)

The final answer is 11 rides.

Hope this helped :)

Answer:

6 + 3x ≤ 40

x≤11

Step-by-step explanation:

6 + 3x ≤ 40

-6           -6  

3 x  ≤   34  

3  x  ≤    3  

x    ≤   11

The symmetrical interval that includes 93% of the sample means is (3.2455 gallons per month, 3.5545 gallons per month) assuming the population follows a normal distribution.

To calculate the probabilities and identify the symmetrical interval, we'll use the provided information:

Given:

Population mean (μ) = 3.4 gallons per month

Population standard deviation (σ) = 0.85 gallons per month

Sample size (n) = 100

a. Probability that the sample mean will be less than 3.3 gallons per month: To calculate this probability, we need to use the sampling distribution of the sample mean, assuming the population follows a normal distribution. Since the sample size (n) is large (n > 30), we can approximate the sampling distribution as a normal distribution using the Central Limit Theorem. The mean of the sampling distribution is equal to the population mean (μ), which is 3.4 gallons per month. The standard deviation of the sampling distribution, also known as the standard error (SE), can be calculated as σ / √n:

SE = σ / √n

= 0.85 / √100

= 0.085 gallons per month

Now, we can calculate the z-score using the formula:

z = (x - μ) / SE

Substituting the values:

z = (3.3 - 3.4) / 0.085

= -0.1 / 0.085

= -1.1765

Using a standard normal distribution table or calculator, we can find the probability corresponding to a z-score of -1.1765. The probability that the sample mean will be less than 3.3 gallons per month is approximately 0.1190. Therefore, the probability is 0.1190.

b. Probability that the sample mean will be more than 3.6 gallons per month:

Similarly, we can calculate the z-score for this case:

z = (x - μ) / SE

= (3.6 - 3.4) / 0.085

= 0.2 / 0.085

= 2.3529

Using a standard normal distribution table or calculator, we find the probability corresponding to a z-score of 2.3529. The probability that the sample mean will be more than 3.6 gallons per month is approximately 0.0096.

Therefore, the probability is 0.0096.

c. Identifying the symmetrical interval that includes 93% of the sample means:

To find the symmetrical interval, we need to determine the z-scores corresponding to the tails of 93% of the sample means.

Since the distribution is symmetrical, we can divide the remaining probability (100% - 93% = 7%) equally between the two tails.

Using a standard normal distribution table or calculator, we find the z-score corresponding to a tail probability of 0.035 on each side. The z-score is approximately 1.8125.

The symmetrical interval is then given by:

=μ ± z * SE

=3.4 ± 1.8125 * 0.085

=(3.4 - 1.8125 * 0.085, 3.4 + 1.8125 * 0.085)

=(3.4 - 0.1545, 3.4 + 0.1545)

=(3.2455, 3.5545)

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Answer:

so it is because it has

Step-by-step explanation:

a good explanation

The regular price of a ticket to the game was $204.00.

We can use algebra to solve the problem. Let x be the regular price of a ticket to the game.

We know that the group rate saved Mason $5.75 per ticket, so the regular price of a ticket is x + $5.75.

We know that Mason bought 16 tickets and paid a total of $296.00, so we can set up the following equation:

x + $5.75 = (x + $5.75) * 16 = 16x + $92

So the regular price of a ticket is x = $296.00 - $92 = $204.00

Therefore, the regular price of a ticket to the game was $204.00.

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Answer:

8 days

Step-by-step explanation:

2x8=16

22-16=6

Hope this helps!

Answer:

Pantalones = $600.00 × 2

$ 1,200.00

Blusas = $350.00 × 4

$ 1,400.00

Calcetas = $120.00 × 3

$ 360.00

Par de tenis = $950.00 × 2

$ 1,900.00

Total a pagar = $4,850.00

$5,000.00

- $4,860.00

Sobrante = $140.00

Answer:

29

Step-by-step explanation:

ur in high school bro. Im in 7th grade. Get good bc is gonna get harder

Answer:

Step-by-step explanation:

The length of the rectangular backyard is represented by the polynomial 3x + 4 and the width is represented by the polynomial x - 1. To find the area, we can multiply the length and the width, which will give us the polynomial expression for the area.

So the polynomial that represents the area of the rectangular backyard is:

(3x + 4) * (x - 1) = 3x^2 + x - 4

If x = 6, then we can substitute this value into the polynomial expression for the area and find the area of the backyard:

3x^2 + x - 4 = 3(6)^2 + (6) - 4 = 108 square feet

So the area of the rectangular backyard when x = 6 is 108 square feet.

Answer:

0. 116

Step-by-step explanation:

The function is given as :-

\(\boxed{f(d) = 5(1.02)^d }\)

and we have to find the rate of change from d = 4 to d = 11

\(\boxed{\blue{\mathfrak{Rate\: of\: change = \frac{final\:output-intital\:output}{final\:input-initial\:input} } }}\)

The final input value is 11 whereas the initial input value is 4.

The final and initial outputs can be calculated by placing the respective values of initial and final inputs (that are 4 and 11).

f(4) = \(5(1.02)^4\)

f(4) = 5 × 1. 08

f(4) = 5. 41

f(11) = \(5(1.02)^11\)

f(11) = 5 × 1. 24

f(11) = 6. 22

\(\underline{Avg\:Rate \: of \: change} = \frac{6. 22-5.41}{11-4} \\ = \frac{0.81}{7} \\ = 0.116 \)

\(\bigstar\) Hence, the average rate of change is \(\red{\underline{\pmb{0. 116}}}\)

Answer:

16

Step-by-step explanation:

\(8=\sqrt{4x} \\ \\ 64=4x \\ \\ x=16\)

Answer:

3, 3x+5

Step-by-step explanation:

DIFFERENTIATE W.R.T. X

3

EVALUATE

3x+5

Answer: x ≥ $5

Step-by-step explanation:

Given expression

1500 + 200x ≥ 2500

Subtract 1500 on both sides

1500 + 200x - 1500 ≥ 2500 - 1500

200x ≥ 1000

Divide 200 on both sides

200x / 200 ≥ 1000 / 200

\(\boxed{x\geq 5}\)

Hope this helps!! :)

Please let me know if you have any questions

x = -2 and y = -10 is the solution of the equations y = 8x +6 and 10x - 5y = 30.

What is Substitution method to solve equations?

The method of substitution involves three steps: Solve one equation for one of the variables. Substitute (plug-in) this expression into the other equation and solve. Resubstitute the value into the original equation to find the corresponding variable. he substitution method is the algebraic method to solve simultaneous linear equations.

Given Equations :

y = 8x +6

10x - 5y = 30

A) Solve equation [1] for the variable  y

    [1]    y = 8x + 6

B)  Plug this in for variable  y  in equation [2]

  [2]    -5•(8x+6) + 10x = 30

  [2]     - 30x = 60

C)  Solve equation [2] for the variable  x

  [2]    30x = - 60

  [2]    x = - 2

D)  By now we know this much :

   y = 8x+6

   x = -2

E)  Use the  x  value to solve for  y      y = 8(-2)+6 = -10

Solution : {y,x} = {-10,-2}

Hence , x = -2 and y = -10 is the solution of the equations y = 8x +6 and 10x - 5y = 30.

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The number of the probability of selecting at least one Sony component is 0.9961.

If someone flips switches on the selection in a completely random fashion, the probability that the system selected contains at least one Sony component is 7/8.

Suppose there are 8 switches to select from, and each switch is connected to a component. The total number of possible selections would be 2^8 = 256. The selection that would contain no Sony components would have to be one in which each of the switches is flipped in a manner that selects a non-Sony component.

There are three non-Sony components. Therefore, there would be 3 switches that could be flipped in either of two ways.

The probability of making the non-Sony selection would be 2/2 x 2/2 x 2/2 x 2/2 x 2/2 x 2/2 x 2/2 x 2/2 = 1/256.

The probability of not making the non-Sony selection would be 1 - 1/256 = 255/256. The probability of making at least one Sony selection would be the complement of the probability of making the non-Sony selection.

Therefore, the probability of selecting at least one Sony component would be 1 - 1/256 = 255/256 or 0.9961.

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Answer:

60 feet

Step-by-step explanation:

Area of the rectangular room = Length * Width

Given

Area of the room = 224sq. feet

Length = 14 feet

Find the width first

A = LW

W = A/L

W = 224/14

W = 16 feet

hence the width of the room is 16 feet

Get the perimeter.

Perimeter = 2(L+W)

Perimeter of the room = 2(14+16)

Perimeter of the room  = 2(30)

Perimeter of the room  = 60 feet

Hence the perimeter of the room is 60 feet