7 watermelons cost $8.96. How many full watermelons can you buy for $20.

Answer:

First answer is correct

Step-by-step explanation:

JI = VK (side)

IJK = VKJ (angle)

JK = JK (side)

so, JKI TRIANGLE IS CONGRUENT TO JVK TRIANGLE

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The numerical value of x in the angles is 12.

The sum of angles of a straight line always add to 180 degrees.

From the diagram:

Angle 1 = ( 10x - 20 ) degrees

Angle 2 = ( 6x + 8 ) degrees

x = ?

Since angl 1 and angle 1 are on a straight line, their sum will give 180 degrees.

Hence:

Angle 1 + angle 2 = 180

Plug in the values:

( 10x - 20 ) + ( 6x + 8 ) = 180

Solve for x.

Collect and add like terms

10x + 6x -20 + 8 = 180

16x - 12 = 180

16x = 180 + 12

16x = 192

Divide both sides by 16

x = 192/16

x = 12

Therefore, x has a value of 12.

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Answer:

48

Step-by-step explanation:

The interpretation of F(12,43)=8.80, p<0.05 indicates that **multiple groups** were examined in the statistical analysis.

In this scenario, the notation F(12,43) represents the F-test statistic, where the first number (12) refers to the degrees of freedom for the numerator (between-group variability) and the second number (43) represents the degrees of freedom for the denominator (within-group variability). This suggests that there were **13 groups** (12 numerator degrees of freedom + 1) examined in the analysis.

The obtained F-value of 8.80 is the result of comparing the variability between the groups with the variability within the groups. The F-test is commonly used in analysis of variance (ANOVA) to determine if there are significant differences between the group means. The obtained F-value is then compared to the critical F-value at a specific alpha level to assess statistical significance.

The p-value of <0.05 indicates that the observed F-value is statistically significant at a 5% level of significance. This means that there is evidence to reject the null hypothesis, which states that there are no significant differences between the group means. Instead, we can conclude that there are statistically significant differences among at least some of the **13 examined groups**.

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Answer:

57.5

Step-by-step explanation:

First you would have to multiply following PEMDAS so

(1/4)(2)

=0.5

Then subtract 58 and 0.5

58-0.5

=57.5

and thats your answer

Answer:

57.5 or 57 1/2

Step-by-step explanation:

1. Start with 1/4*2 due to the ”order of operation rules”. You then get 1/2.

2. Then, continue to do 58-1/2 to get 57.5 or 57 1/2

Answer:

m = 1/2

Step-by-step explanation:

Slope(m) = (y-y1)/(x-x1)

= (-1 - (-2))/(1 - (-1))

= (-1+2)/(1+1)

= 1/2

Answer:

Below

Step-by-step explanation:

● Orders of 8 gallons or more can be modeled as: x》 8

● For each gallons in the situation above the company charges 11.99 per gallon so: 11.99x

● For orders that are less than 8, the comapny charges 14.78 per gallon

● => 14.78x for x < 8

So the function that represent the situation is the second one

Answer:

35.71%

Step-by-step explanation:

((190 - 140) / 140) * 100 = 35.71 %

How you actually measure the variable is called the Operational definition of the variable .

The Operational Definition of a variable is how you actually measure it.

It specifies the methods, techniques, and procedures used to measure a particular variable. It is the concrete, specific, and practical definition of the variable in a way that makes it possible to be observed, measured, and recorded.

The operational definition is also used to ensure that all researchers are measuring the variable in the same way and to reduce the potential for measurement error. It is an important step in the scientific process as it allows for replication of results and makes the variable more concrete and tangible.

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Answer:

35°

Step-by-step explanation:

It will take 12 seconds until Hudson and Knox have run the same number of feet.

Let's denote the time it takes until Hudson and Knox have run the same number of feet as "t" (in seconds).

The distance Hudson runs can be calculated by multiplying his speed (8.8 feet/second) by the time "t". Thus, the distance Hudson covers is 8.8t feet.

Knox, on the other hand, had a head start of 30 feet. So the distance Knox covers can be calculated by multiplying his speed (6.3 feet/second) by the time "t" and adding the head start of 30 feet. Thus, the distance Knox covers is 6.3t + 30 feet.

To find the time when both runners have covered the same distance, we set their distances equal to each other:

8.8t = 6.3t + 30

Simplifying the equation:

2.5t = 30

Dividing both sides by 2.5:

t = 30 / 2.5

t = 12

Therefore, it will take 12 seconds until Hudson and Knox have run the same number of feet.

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Domain: {x | x is a real number}

Option D, "{x | x is a real number}" accurately represents the domain of the function.

The domain of the step function f(x) = [2x] - 1, where [2x] represents the greatest integer less than or equal to 2x, can be determined by considering the restrictions on the input values.

In this case, the step function is defined for all real numbers. However, the greatest integer function imposes a restriction. Since the greatest integer function only outputs integers, the input values (2x) must be such that they produce integer outputs.

For any real number x, the greatest integer less than or equal to 2x will always be an integer. Therefore, the domain of the function f(x) = [2x] - 1 is:

Domain: {x | x is a real number}

Option D, "{x | x is a real number}" accurately represents the domain of the function.

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Answer:

Its C = 63

Step-by-step explanation

I GUESSED AND GOT IT RIGHT

the vectors u and v are neither parallel nor orthogonal.

What is Orthogonal?

In mathematics, two vectors are said to be orthogonal if they are perpendicular to each other, which means that they meet at a right angle. More generally, in a Euclidean space of any number of dimensions, two vectors are orthogonal if their dot product is zero. This means that the cosine of the angle between them is zero, which implies that the angle between them is 90 degrees (or pi/2 radians). Orthogonal vectors are important in various areas of mathematics, including linear algebra, calculus, and geometry.

The magnitudes of u and v can be found using the Pythagorean theorem:

\(||u|| = \sqrt{((-7)^2 + (-4)^2)} = \sqrt{(49 + 16)} = \sqrt{(65)}\\v = \sqrt{((-16)^2 + 28^2)} = \sqrt{(256 + 784)} = \sqrt{(1040)}\)

Now we can calculate the dot product of u and v:

u · v = (-7)(-16) + (-4)(28) = 112

Putting it all together, we get:

\(112 = \sqrt{65} \sqrt{1040} cos(\theta)\\cos(\theta) = 112 / (\sqrt{65} \sqrt{1040})\\cos(\theta) = 0.926\)

Since the cosine of the angle θ is positive and greater than zero, we can conclude that the angle is acute and the vectors u and v are not orthogonal.

So, in summary, the vectors u and v are neither parallel nor orthogonal.

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Answer:

The vectors are orthogonal because u⋅v = 0.

Step-by-step explanation:

o7

The cost of 12 chairs and 3 tables  is Rs. 3900

from the question, we have the following parameters that can be used in our computation:

15 chairs and 2 tables = Rs 4000

This means that

15x + 2y = 4000

Where

x = chairs and y = table

Next, we have

5x = 2y

So, the first equation becomes

3 * 2y + 2y = 4000

This gives

8y = 4000

So, we have

y = 500

Recall that

5x = 2y

So, we have

x = 2/5 * 500

x = 200

For 12 chairs and 3 tables , we have

Cost = 12 * 200 + 3 * 500

Cost = 3900

Hence, the cost is Rs 3900

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Answer:

x = 1

Step-by-step explanation:

Step 1: Simplify both sides of the equation.

3(x+1)=2(x−1)+6

(3) (x )+ (3) (1) = (2) (x) + (2) (−1) + 6 (Use Distrbutive Property)

3x + 3 = 2x + (−2) + 6

3x + 3 = (2x) + (−2 + 6) (Combine Like Terms)

3x + 3 = 2x + 4

3x + 3 = 2x + 4

Step 2: Subtract 2x from both sides.

3x + 3 − 2x = 2x + 4 − 2x

x + 3 = 4

Step 3: Subtract 3 from both sides.

x + 3 − 3 = 4 − 3

x = 1

If P, Q and R are the angles of triangle PQR, then cosec((P+R)/2) = sec(Q/2)

Since P, Q and R are the angles of triangle, then they hold the relation

P + Q + R = 180° .....(i)

Rearranging this equation, we get

P + R = 180° - Q ---(ii)

Using the lhs of the equation,

cosec((P+R)/2)

Substituting (P+R) from (ii), we get

cosec((180°-Q)/2)

=> cosec((180/2)°- (Q/2))

=> cosec(90°- (Q/2))

We know that cosec(90°- A) = sec(A). Using this in the above relation, we get

=> sec(Q/2)

which equates to the rhs of the equation given the question.

Therefore, cosec((P+R)/2) = sec(Q/2)

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Answer: The answer is water bottle

Step-by-step explanation: The volume is determined by how much 3-dimensional space an object takes up.

Set c = {north america, south america, europe, asia, australia, africa, antarctica}. Set-builder notation: c = {x | x is continent and x ∈ {north america, south america, europe, asia, australia, africa, antarctica}}.

What is set ?

A set is the mathematical model for a collection of different things; a set contains elements or members, which can be mathematical objects of any kind: numbers, symbols, points in space, lines,etc.

a) The set c = {north america, south america, europe, asia, australia, africa, antarctica} can be written in set-builder notation as:

c = {x | x is a continent and x ∈ {north america, south america, europe, asia, australia, africa, antarctica}}

b) The set-builder notation can be read as "the set c, such that x is a continent and x is an element of the set {north america, south america, europe, asia, australia, africa, antarctica}".

Set c = {north america, south america, europe, asia, australia, africa, antarctica}. Set-builder notation: c = {x | x is continent and x ∈ {north america, south america, europe, asia, australia, africa, antarctica}}.

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Certify Completion Icon Tries remaining: 3 A high school has 52 players on the football team. The summary of the players' weights is given in the box plot. The median weight of the players on the football team is 160 pounds.

The box plot shows that the median weight of the players is the middle value of the distribution. In this case, the median weight is halfway between the 26th and 27th players, which is 160 pounds.

The box plot also shows that the minimum weight of the players is 150 pounds and the maximum weight is 212 pounds. The interquartile range, which is the range of the middle 50% of the data, is 20 pounds.

In conclusion, the median weight of the players on the football team is 160 pounds. This means that half of the players on the team weigh more than 160 pounds and half of the players weigh less than 160 pounds.

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The AAA (angle-angle-angle) similarity theorem can be used to express it as follows: two triangles have equal corresponding angles if and only if their corresponding sides are proportionate.

The Angle-Angle-Angle (AAA) criterion for the similarity of triangles states that “If in two triangles, corresponding angles are equal, then their corresponding sides are in the same ratio (or proportion) and hence the two triangles are similar”.

Proof:

Consider two triangles ABC and DEF, such that ∠A = ∠D, ∠B = ∠E and ∠C = ∠F as shown in the figure.

Now, cut DP= AB and DQ= AC and join PQ. Hence, we can say that a triangle ABC is congruent to the triangle DPQ.

(i.e) ∆ ABC ≅ ∆ DPQ, which gives ∠B = ∠P = ∠E and also, the line PQ is parallel to EF.

Therefore, by using the basic proportionality theorem, we can write

DP/PE = DQ/QF.

(i.e) AB/DE = AC/DF. …(1)

Similarly,

AB/DE = BC/EF …(2)

From (1) and (2), we can write:

AB/DE = BC/EF = AC/DF.

Therefore, the two triangles ABC and DEF are similar.

Hence, AAA(Angle-angle-angle) is proved.

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The observation is located to the left of the mean by a distance of 1.2 standard deviations.

The z-score of an observation represents the number of standard deviations the observation is away from the mean.

If the z-score for a particular observation is z = -1.2, this means that the observation is 1.2 standard deviations below the mean.

If the mean is represented by μ and the standard deviation by σ, then we can express this observation as:

observation = μ + (z * σ)

observation = μ + (-1.2 * σ)

This means that the observation is located to the left of the mean by a distance of 1.2 standard deviations.

For example, The z-score represents the number of standard deviations an observation is above or below the mean of the distribution.

In this case, a z-score of -1.2 indicates that the observation is 1.2 standard deviations below the mean height of the group.

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The area of trapezoid $ABCD$ is $\frac{1}{2}h(a+b)$, where $h$ is the height of the trapezoid and $a$ and $b$ are the lengths of the bases $\overline{AB}$ and $\overline{CD}$, respectively.

To find the area of trapezoid $ABCD$, we need to know the lengths of the bases and the height. Let's assume that the lengths of the bases are $a$ and $b$, where $a > b$. The extensions of the legs of the trapezoid intersect at point $P$.

To calculate the area of the trapezoid, we need to find the height. Let's consider triangle $APB$ formed by the extension of the leg $\overline{AB}$, the extension of the leg $\overline{CD}$, and the line segment $\overline{AP}$. Since $\overline{AB}$ and $\overline{CD}$ are parallel, triangle $APB$ is similar to triangle $CPD$.

Using the similarity of triangles, we can set up the following proportion: $\frac{h}{a} = \frac{h+x}{b}$, where $x$ is the length of $\overline{PD}$. Cross-multiplying gives us $bh = ah + ax$. Rearranging the equation, we have $ax = (b-a)h$. Dividing both sides by $a$, we get $x = \frac{b-a}{a}h$.

Now, the height of the trapezoid, $h$, is the sum of the lengths of $\overline{AP}$ and $\overline{PD}$: $h = \overline{AP} + \overline{PD} = x + \frac{b-a}{a}h$. Simplifying the equation, we have $\frac{a}{a}h = x + \frac{b-a}{a}h$, which gives us $\frac{h}{a} = x + \frac{b-a}{a}h$.

Substituting the value of $x$, we have $\frac{h}{a} = \frac{b-a}{a}h + \frac{b-a}{a}h$. Simplifying further, we get $\frac{h}{a} = \frac{2(b-a)}{a}h$. Dividing both sides by $\frac{2(b-a)}{a}$, we find that $h = \frac{a}{2(b-a)}h$.

Finally, we can substitute the value of $h$ in the formula for the area of the trapezoid to find:

$[ABD] = \frac{1}{2}h(a+b) = \frac{1}{2}\left(\frac{a}{2(b-a)}h\right)(a+b) = \frac{a(a+b)}{4(b-a)}$.

The area of trapezoid $ABCD$ with bases $\overline{AB}$ and $\overline{CD}$ is given by $\frac{a(a+b)}{4(b-a)}$, where $a$ and $b$ are the lengths of the bases and $h$ is the height of the trapezoid.

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Answer:

3 a 2 − a + 10

Step-by-step explanation:

like and 5 star

Answer:

3a^2-a+10

Step-by-step explanation:

...

Answer:

y = - \(\frac{5}{2}\) x + 11

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

Here m = - \(\frac{5}{2}\) , then

y = - \(\frac{5}{2}\) x + c ← is the partial equation

To find c substitute (8, - 9) into the partial equation

- 9 = - 20 + c ⇒ c = - 9 + 20 = 11

y = - \(\frac{5}{2}\) x + 11 ← equation of line

Using the same guideline, for a four-credit class, you would ideally spend:

4 credits * 2-3 hours/credit = 8-12 hours per week.

it is suggested that students allocate around 2-3 hours of study time per credit hour per week for a college-level course. However, the actual study time required may vary based on individual learning styles, prior knowledge, and the specific requirements set by professors or institutions.

Let's apply this general guideline to your scenario:

One three-credit class that is less demanding:

Assuming 2-3 hours of study per credit hour, for a three-credit class, you would ideally spend:

3 credits * 2-3 hours/credit = 6-9 hours per week.

Two three-credit classes that are typically demanding:

Similarly, for each of the two three-credit classes, you would spend:

3 credits * 2-3 hours/credit = 6-9 hours per week.

Since you have two such classes, the total time would be:

2 * (6-9) hours = 12-18 hours per week.

One four-credit class that is very challenging:

Using the same guideline, for a four-credit class, you would ideally spend:

4 credits * 2-3 hours/credit = 8-12 hours per week.

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The answer to the question is no, if a test is significant at the 0.01 level, it is not necessarily significant at the 0.02 level.

Statistical significance refers to the likelihood that the results of a study or experiment are not due to chance. The significance level, also known as alpha, is the probability of rejecting the null hypothesis when it is actually true. In other words, it is the probability of making a type I error.

When we set a significance level of 0.01, we are saying that we are willing to accept a 1% chance of making a type I error. This means that if we were to repeat the experiment many times, we would expect to see a false positive result (rejecting the null hypothesis when it is actually true) about 1% of the time.

If we were to increase the significance level to 0.02, we would be saying that we are willing to accept a 2% chance of making a type I error. This means that we would expect to see a false positive result about 2% of the time if we were to repeat the experiment many times.

Therefore, just because a test is significant at the 0.01 level does not mean that it will be significant at the 0.02 level. The higher significance level allows for more false positives, so it is possible that results that were significant at the lower level may not be significant at the higher level.

In conclusion, statistical significance depends on both the significance level and the specific results of an experiment or study, and increasing the significance level may change whether or not results are considered significant.

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