The set of values for x that satisfies a quadratic inequality is x < -0.5 or x > 1.5
Write down a possible quadratic inequality. Please help - it’s a gcse maths question

The answer of the given question based on triangles to find x is ,the values of x is  5.

A bisector is line, ray, or line segment that divides another line, ray, or line segment into two equal parts. The term bisector is derived from the Latin word "bis," which means "two," and "sectio," which means "cutting."

A bisector can be either an angle bisector or a line bisector. An angle bisector is a line or ray that divides an angle into two equal parts, while a line bisector is a line that divides a line segment into two equal parts.

If the line from angle B bisects side CA at point D, then we can use the angle bisector theorem to find the length of CD.

In triangle ABC, let BD be the angle bisector from angle B, intersecting side CA at point D. Then, we have:

AD/DC = AB/BC

Substituting the known values, we get:

9/DC = 21/14

Solving for DC, we get:

DC = 9 * 14 / 21 = 6

Therefore, CD = CA - DA = BC - DA = 14 - 9 = 5.

Hence, the values of x is  5.

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Answer:

Step-by-step explanation:

It is assumed you are looking for the value of x.

According the diagram, we have:

Property of exterior angle - it is same as the sum of remote interior angles.

Set equation:

It is easy to calculate the unknown angle measures if needed:

As, the data shows an arithmetic progression. Therefore, the function that models the data is: y = 5x + 1.

1. Exponential Function y = ab* whose graph passes through the given points:

(1, 3), (2, 12)

To find the exponential function for this, we can use these two points as follows:

3 = ab1 ...(1)

12 = ab2 ...(2)

Dividing (2) by (1) we get:

12/3 = ab2/ab1

=> 4 = b

Therefore, from (1), we have:

3 = a * b¹

=> 3 = a * 1

=> a = 3

Therefore, the exponential function is:

y = 3(4)x2.

Exponential Function y = ab* whose graph passes through the given points: (1, 2), (3, 50)

To find the exponential function for this, we can use these two points as follows:

2 = ab1 ...(1)

50 = ab3² ...(2)

Dividing (2) by (1) we get:

50/2 = ab3²/ab1

=> 25 = b9

Therefore, from (1), we have:

2 = a * b¹

=> 2 = a * 1

=> a = 2

Therefore, the exponential function is:

y = 2(9)x3.

Exponential Function y = ab* whose graph passes through the given points: (-1, 10), (4, 0.31)

To find the exponential function for this, we can use these two points as follows:

10 = ab-1 ...(1)

0.31 = ab4 ...(2)

Dividing (2) by (1) we get:

0.31/10 = ab4/ab-1

=> 0.031 = b5

Therefore, from (1), we have:

10 = a * b⁻¹

=> 10 = a / b

=> a = 10 / b

Therefore, the exponential function is:

y = (10 / 5)x or y = 2x4.

Determining whether the data show an exponential relationship: 1 6 11 16 21 x 12 y

The first differences are:5, 5, 5, 5

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The value of angle Z is 40 degrees. (Option 3). In this problem, we are given that three lines intersect at point P and we need to find the value of angle Z.

We know that angle X is 65 degrees and angle Y is 75 degrees. We also know that all six angles formed by the intersection of the three lines add up to 360 degrees.

Using these facts, we can set up an equation as

2X + 2Y + 2Z = 360.

We can simplify this equation to

X + Y + Z = 180.

We can then substitute the given values of X and Y to get

65 + 75 + Z = 180.

Simplifying this equation, we get Z = 40, which means Z is equal to 40 degrees.

Therefore, the answer is option C.

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Complete Question:

In the figure, 3 lines intersect at point P. If x = 65 and y = 75, what is the value of z?

The number of red chips in the bag is 4

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

Number of chips = 10

Colours of chips = Blue and red

When 1 blue chip is removed, we have the following probability value

P(Blue) = 3/5

Express the denominator as 10

So, we have the following representation

P(Blue) = 6/10

This means that

Blue : Total = 6 : 10

This also means that

Blue : Blue + Red = 6 : 10

So, we have

Blue + Red = 10

Blue = 6

Substitute the known values in the above equation, so, we have the following representation

6 + Red = 10

Evaluate

Red = 4

Hence, the number of red chips is 4

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Complete question

a bag contains only red and blue plastic chips. there were 10 chips in the bag and 1 blue chip was removed. the probability of drawing a blue chip was then 3/5. how many red chips were in the bag?

The probability that the student taking Geometry is a 12th grade student is given as follows:

51/284 = 18%.

The parameters that are needed to calculate a probability are listed as follows:

Then the probability is then calculated as the division of the number of desired outcomes by the number of total outcomes.

The total number of students taking geometry are given as follows:

74 + 47 + 112 + 51 = 284.

Out of these students, 51 are 12th graders, hence the probability is given as follows:

51/284 = 18%.

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Answer:

960 calories

Step-by-step explanation:

Answer:

there are 960 calories in 6 cups of cereal.

Step-by-step explanation:

876 ÷ 43 = 20.16 (option C)

a) 876 ÷ 43 = 20.37

Approximately to the nearest whole nuumber = 20

Hence, we can say ≈ 20

b) 876 ÷ 43 is fraction:

c) 876 ÷ 43 in decimal = 20.37

The question says 20.16 which is wrong

d) 876 ÷ 43

It has a remainder of 16 and a quotient of 20

It can also be written as:

20r16

Hence, the answer choice not correct is option C

Answer:

1. 180

3. 10

I'm not too sure of the last blank. Can you show me the choices for the second blank?

You have 4 replications for each treatment combination.

In this scenario, you have two factors: frequency (low and high) and liquid (distilled water and salt water). Each factor has two levels, making a total of four treatment combinations (low frequency with distilled water, low frequency with salt water, high frequency with distilled water, high frequency with salt water).

Since you have a total of 16 runs, the number of replications for each treatment combination can be determined by dividing the total number of runs by the number of treatment combinations. In this case, 16 runs divided by 4 treatment combinations gives you 4 replications per treatment combination.

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The given statement is False. A test statistic based on point estimation is not used to construct the decision rule which defines the rejection region.

In hypothesis testing, a test statistic is calculated using sample data and a specific hypothesis to assess the strength of evidence against the null hypothesis. The decision rule, which determines whether to reject or fail to reject the null hypothesis, is based on the test statistic's distribution under the null hypothesis, rather than the point estimate itself.

The construction of the decision rule involves selecting a significance level (alpha), which represents the probability of rejecting the null hypothesis when it is actually true. The rejection region is determined based on the chosen significance level and the distribution of the test statistic. If the calculated test statistic falls within the rejection region, the null hypothesis is rejected; otherwise, it is not rejected.

Point estimation, on the other hand, is used to estimate an unknown parameter of interest, such as the population mean or proportion, based on sample data. It involves calculating a single value (point estimate) that represents the best guess for the parameter value. The point estimate is not directly involved in constructing the decision rule or defining the rejection region in hypothesis testing.

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False. A test statistic based on point estimation is not used to construct the decision rule that defines the rejection region.

The process of hypothesis testing involves constructing a decision rule to determine whether to accept or reject a null hypothesis based on sample data. The decision rule is typically defined using a critical region or rejection region, which is a range of values for the test statistic.

Point estimation, on the other hand, is a method used to estimate an unknown population parameter based on sample data. It involves calculating a single value (point estimate) that serves as an estimate of the population parameter.

While point estimation and hypothesis testing are both important concepts in statistics, they serve different purposes. Point estimation is used to estimate population parameters, whereas hypothesis testing involves making decisions based on sample data.

The decision rule for hypothesis testing is typically constructed based on the significance level (alpha) and the distribution of the test statistic, such as the t-distribution or the standard normal distribution. The test statistic is calculated using sample data and compared to critical values or calculated p-values to determine whether to reject the null hypothesis.

Therefore, the statement that a test statistic based on point estimation is used to construct the decision rule defining the rejection region is false.

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Plane surveying is a type of surveying where the surface of the Earth is considered flat in the x and y directions (option B). This means that when conducting plane surveying, the curvature of the Earth is ignored and the measurements are made assuming a flat surface.

In plane surveying, the Earth is approximated as a plane for small areas of land. This simplifies the calculations and allows for easier measurement and mapping. It is commonly used for small-scale projects, such as construction sites, property boundaries, and topographic mapping.

However, it is important to note that plane surveying is only accurate for relatively small areas. As the size of the area being surveyed increases, the curvature of the Earth becomes more significant and needs to be taken into account. For large-scale projects, such as national mapping or global positioning systems (GPS), other types of surveying, such as geodetic surveying, are used.

In geodetic surveying, the curvature of the Earth is considered (option C). This type of surveying takes into account the Earth's ellipsoidal shape (option D) and uses more complex mathematical models to accurately measure and map large areas of land.

To summarize, plane surveying is a type of surveying where the surface of the Earth is assumed to be flat in the x and y directions (option B). It is used for small-scale projects and ignores the curvature of the Earth. For large-scale projects, geodetic surveying is used, which takes into account the Earth's curvature and ellipsoidal shape (option C and D).

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1) -10, 2

2) -9, 4

3) -5, 3

4) -12, 3

5) -5, 4

6) -15, 1

7) -4, -3

8) -6, -1

9) -4, -4

10) -6, 6

11) -1, 1

I sincerely apologize but I do not know the answers to the last 5 questions. I hope what I have provided helps!

The correct answer is e(x) = np. The expected value for a binomial probability distribution is given by the formula e(x) = np, where n represents the number of trials and p represents the probability of success in each trial.

The expected value is a measure of the average or mean outcome of a binomial experiment. It represents the number of successful outcomes one would expect on average over a large number of trials.

The formula e(x) = np arises from the fact that the expected value of a binomial distribution is the product of the number of trials (n) and the probability of success (p) in each trial. This is because in a binomial experiment, the probability of success remains constant for each trial.

Therefore, to calculate the expected value of a binomial probability distribution, we multiply the number of trials by the probability of success in each trial, resulting in e(x) = np.

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After reducing all the book prices by 50%, the new median price is determined to be $7.70 (B)

To find the new median price after reducing all the book prices by 50%, we first need to calculate the reduced prices. By reducing each given price by 50%, we get $6.375, $7.40, $9.995, $4.975, $8.00, and $8.975 respectively.

Next, we arrange these reduced prices in ascending order: $4.975, $6.375, $7.40, $8.00, $8.975, and $9.995. The median is the middle value in this ordered list. Since there are six prices, the middle two values are $7.40 and $8.00.

To find the median, we take the average of these two values, which gives us ($7.40 + $8.00) / 2 = $7.70.

Therefore, the new median price, after reducing all the book prices by 50%, is $7.70 (B). This means that the median price of the books, after the reduction, is $7.70.

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Answer:

b

Step-by-step explanation:

Answer:

3/2

Step-by-step explanation:

Answer:

Width __6___ cm

Length __12__ cm

Step-by-step explanation:

hello :

x : the width   and y : Length    P : the  perimeter

P=2(x+y )        but : P=36cm  and : y = 2x

36 = 2(x+2x)

36 = 2(3x)

6x =36   so : x=6 cm   and y = 2×6=12cm

Step-by-step explanation:

If breadth is b,then length will be 2b,so

Perimeter=36

2(2b+b)=36

3b=18

b=6,so,l=2×6=12

So,length is 12 and breadth is 6,

Hope it helps…

Question 1: The sum of the angles in the garden is 540 degrees. Without knowing the number of sides of the garden, we cannot determine the measure of each individual angle.

Question 2:  angle DAB is 90 degrees.

Question 3:  the diagonals of a rhombus are perpendicular and bisect each other, we can check whether the diagonals of ABCD satisfy these properties. The midpoint of BD is (0, 4), which is the same as the midpoint of AC. Therefore, the diagonals bisect each other.

Question 1:

To find the angle measures of each vertex of the garden, we need to use the fact that the sum of the angles in any polygon is (n-2) x 180 degrees, where n is the number of sides of the polygon. Since we do not know the number of sides, we can divide the garden into triangles and find the sum of the angles in each triangle.

Let's call the angles of the first triangle a, b, and c. Since the triangle has three sides, we know that a + b + c = 180. Let's call the angles of the second triangle d, e, and f, and the angles of the third triangle g, h, and i. Then we have:

a + b + c = 180

d + e + f = 180

g + h + i = 180

We can solve this system of equations by substituting known values. We are given that:

b + d + f + h = 360

Substituting b + d + f for 180 - a and f + h + i for 180 - g, we get:

(180 - a) + (180 - c) + (180 - g) = 360

Simplifying and solving for a + c + g, we get:

a + c + g = 540

Question 2:

We are given that diagonals AC and BD of parallelogram ABCD intersect at point A. We need to find the measure of angle DAB, which is denoted by x in the diagram.

Since ABCD is a parallelogram, we know that opposite angles are congruent. Therefore, angle ABC is also equal to 45 degrees. We can use the fact that opposite angles of a parallelogram are congruent to find the measure of angle BCD, which is also equal to 45 degrees.

Now we have a triangle ABD, and we can use the fact that the sum of the angles in a triangle is 180 degrees to find x:

x + 45 + 45 = 180

Simplifying, we get:

x = 90 degrees

Question 3:

To determine whether quadrilateral ABCD is a rectangle, rhombus, or square, we need to examine the properties of the diagonals.

First, we need to find the coordinates of the midpoint of diagonal AC. Using the midpoint formula, we get:

Midpoint of AC = ((-2 + 2)/2, (6 + 2)/2) = (0, 4)

Next, we need to find the slope of diagonal AC. Using the slope formula, we get:

Slope of AC = (6 - 2)/(-2 - 2) = -1

Now we can find the equation of line AC using the point-slope formula:

y - 4 = -1(x - 0)

y = -x + 4

Similarly, we can find the equation of line BD:

y - 2 = 1(x + 2)

y = x

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Divya should not check her answers for extraneous solution as it's not required in this case.

It should be noted that an extraneous solution simply means is the transformed equation that's isn't the root of the original equation.

Based on the information given, Divya had already solved the equation and it's not necessary to check the answers for extraneous solution.

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Answer:

No, she shouldn't.

The area of the floor covered by the larger speaker is four times greater than that covered by the smaller speaker.

To calculate this, we first need to calculate the area of each speaker. The area of the larger speaker is calculated by multiplying the base (b1 x b2) by the height (2 x 2 x 2 = 8). The area of the smaller speaker is calculated by multiplying the base (b1 x b2) by the height (b1 x b2 x h).

Therefore, the larger speaker's area is 8, and the smaller speaker's area is b1 x b2 x h. The ratio of the larger speaker's area to the smaller speaker's area is 8: b1 x b2 x h, or 4:1. Therefore, the area of the floor covered by the larger speaker is four times greater than that covered by the smaller speaker.

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a. The efficiency of Expedition Everest is approximately 87.8%.

b. The utilization of Expedition Everest is approximately 94.7%.

c.  The demand is greater than the effective capacity, the operation is considered overcapacity. This means that the ride cannot accommodate all the riders who wish to ride, resulting in long waiting times for guests.

To calculate the efficiency and utilization of Expedition Everest, we need to compare the actual number of riders with the design capacity and effective capacity.

Given:

Demand = 3,000 riders/hour

Average riders = 1,800 riders/hour

Design capacity = 2,050 riders/hour

Effective capacity = 1,900 riders/hour

a. Efficiency:

Efficiency is calculated as the average riders divided by the design capacity, multiplied by 100%.

Efficiency = (Average riders / Design capacity) * 100%

= (1,800 / 2,050) * 100%

≈ 87.8%

Therefore, the efficiency of Expedition Everest is approximately 87.8%.

b. Utilization:

Utilization is calculated as the average riders divided by the effective capacity, multiplied by 100%.

Utilization = (Average riders / Effective capacity) * 100%

= (1,800 / 1,900) * 100%

≈ 94.7%

Therefore, the utilization of Expedition Everest is approximately 94.7%.

c. Capacity Analysis:

To determine if the operation is overcapacity or undercapacity, we compare the demand with the effective capacity.

Demand > Effective capacity

3,000 > 1,900

Since the demand is greater than the effective capacity, the operation is considered overcapacity. This means that the ride cannot accommodate all the riders who wish to ride, resulting in long waiting times for guests.

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Answer:

68°

Step-by-step explanation:

since the ball is placed or comes from a straight line (which is the wall) it means that when you add all those angles the final answer has to be 180 because angles in a straight line add up to 180°

68°+44°+1=180

112°+1=180

1=180-112

=68°

I hope this helps

The measure of ∠1 is 68 degrees.

We have Lisa who kicked a ball against the wall at the indicated angle.

We have to determine the measure of the angle 1 in degrees.

A straight line has an angle of 180 degrees.

According to question, we have -

∠3 = 68 degrees

∠2 = 44 degrees

Therefore -

∠3 + ∠2 + ∠1 = 180

68 + 44 + ∠1 = 180

112 + ∠1 = 180

∠1 = 180 - 112

∠1 = 68 degrees

Hence, the measure of ∠1 is 68 degrees.

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Answer:

The Domain of the relationship is the set: {-5, -4, -2, -1, 0, 1, 3, 4} (Answer D)

Step-by-step explanation:

Let's recall that the Domain of a relationship is the set of values in the starting set for which there is a correspondent value in the final set.

In this case, we have a set of numbers on the x axis, which are connected with values in the y axis as indicated by the plotting of the points on the (x,y) plane.

The Domain will consist of all those x-values for which we see in the given plot connected to a corresponding y-value.

So, we see that:

the x-value -5 is connected to the y-value -4

the x-value -2 is connected to the y-value -1

the x-value -1 is connected to the y-value 0

the x-value 0 is connected to the y-value 1

the x-value 3 is connected to the y-value 4

and the x-value 2 is connected to two y-values:  3 and 4

Therefore all those x-values are part of the Domain of this relationship. That is, the set: {-5, -4, -2, -1, 0, 1, 3, 4}

It is correct to say that any point on the perpendicular bisector of a segment is equidistant from the endpoints of the segment.

Any point on the perpendicular bisector of a segment is equidistant from the endpoints of the segment. What is a perpendicular bisector? A perpendicular bisector is a line that intersects a line segment and forms a 90-degree angle. It divides the line segment into two equal halves.Each point on the perpendicular bisector of a line segment is equidistant from the endpoints of the segment. This means that the distance from any point on the line to one endpoint of the segment is the same as the distance to the other endpoint of the segment.

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There are 1320 different ways in which three new heads can be appointed from 12 eligible managers.

The problem of finding the number of ways in which three new heads can be appointed from 12 eligible managers can be solved using permutations. This is because order matters, since each head is appointed to a specific division and the three divisions are distinct.

Therefore, the formula to use is the permutation formula. Below is the solution:Let P (n, r) denote the number of permutations of n distinct objects taken r at a time.Then, the number of ways in which three new heads can be appointed from 12 eligible managers is given by:P (12, 3) = 12! / (12 - 3)! = 12 x 11 x 10 = 1320

Therefore, there are 1320 different ways in which three new heads can be appointed from 12 eligible managers.

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Answer:

C.12

Step-by-step explanation:

Answer: C. The answer is 12. Hope this helps.