the diagram below shows a trapezium. all the measurements are in centimetres. the area of the trapezium is 30 cm^2 l. Set up and solve a quadratic equation to work out the value of x

Answer:

yeah i believe thats the right answer thats what i got anyways

Step-by-step explanation:

good job!

Answer:

You are correct

Step-by-step explanation:

Good job and hope this helps

All three options involve conducting a survey using random sampling, which is the most appropriate method for creating an estimate of the percentage of district residents who support the building of a new middle school. The correct answer would be A, B, or C, depending on the availability of resources.

The most appropriate method for creating an estimate of the percentage of district residents who support the building of a new middle school would likely be a survey using random sampling.

Random sampling is a statistical method in which a representative sample of a larger population is selected, in order to make inferences about the population as a whole. When conducting a survey, random sampling helps to ensure that the sample is representative of the population, reducing the potential for bias.

There are several different types of surveys that could be used to estimate the level of support for a new middle school, including telephone surveys, online surveys, and in-person surveys.

Complete question:

The superintendent of a large school district wants to estimate the percentage of district residents who support the building of a new middle school. To gather data, the superintendent will select a random sample of district residents. What is the most appropriate method for the superintendent to estimate the percentage of district residents who support the building of a new middle school?

A. Telephone survey using random sampling

B. Online survey using random sampling

C. In-person survey using random sampling

D. Observing the behavior of district residents

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Answer:

b. r = 18%

Step-by-step explanation:

0.3(0.82)^x:

0.3(0.82)^x:

The 0.82 is getting affected since it is raised to the power of x

Hence, for every iteration of x, the object is becoming 82% of itself.

100%-82%=18%

r = 18% ==> b

Option B is correct, 18% is the  rate of decay of the exponential function f(x) = 0.3(0.82)ˣ

A relation is a function if it has only One y-value for each x-value.

The exponential function f(x) = 0.3(0.82)^x can be written in the form f(x) = a(b)ˣ, where a = 0.3 and b = 0.82.

In an exponential function of the form f(x) = a(b)ˣ

the base b represents the rate of change.

If b is between 0 and 1, then the function represents exponential decay. The rate of decay r can be found using the formula:

r = (1 - b) x 100%

In this case, b = 0.82, so the rate of decay is:

r = (1 - 0.82) x 100%

= 0.18 x 100%

= 18%

Hence, option B is correct, 18% is the  rate of decay of the exponential function f(x) = 0.3(0.82)ˣ

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Answer:

28

Step-by-step explanation:

    If two secant segments drawn to a circle from an exterior point, then the product of measures of one secant segment and its external secant segment is equal to the product of the measures of the other secant segment and its external secant segment.

 SO =  14 + 4 = 18   ;  SR = 14

  SU = 9 +z  ;  ST = 9

          SO * SR  = SU * ST

              18 * 14 = (9 + z) *9  

                   252= 9*9 + 9 *z {Distributive property}

                   252 = 81 + 9z

Subtract 81 from both sdies,

            252 - 81 = 9z

                   171   = 9z

                      9z = 171

Divide both sides by 9,

                         z = 171 ÷ 9

                         z = 19

SU = 19 +z

     = 19 + 9

     = 28

Answer: A and B (first answer choice)

Explanation:

Start at the origin (0,0) where the x and y axis cross. Then move left 1 and up 5 to arrive at (-1,5). The two lines A and B cross at this location, so (-1,5) is the solution to the system formed by just these two equations alone. We ignore lines C and D.

The correct statements are:

1. If the product AB = 0 (zero matrix), then either A = 0 or B = 0.

4. BC = CB.

Explanation:

1. If the product of two matrices AB equals the zero matrix, it implies that at least one of the matrices A or B (or both) must be the zero matrix for the product to result in zero.

4. The statement BC = CB states that the order of multiplication of matrices B and C does not affect the resulting matrix. This property holds true for matrices of any size as long as the dimensions are compatible for matrix multiplication.

The other statements are not necessarily true in general:

2. Both BC and CB being square matrices is not guaranteed. The product of two matrices can result in a square matrix only if the number of columns of the first matrix is equal to the number of rows of the second matrix. In this case, B has 3 columns and C has 2 rows, so BC and CB are not square matrices.

3. The matrix A + BC is not defined since the addition of matrices requires them to have the same dimensions. In this case, A is a 2×2 matrix, while BC is a 2×3 matrix, so they cannot be added together.

5. The statement A = A12​ = I2​ implies that matrix A is equal to the 2×2 identity matrix I2​. However, this is not necessarily true as the given information does not provide any details about the values or properties of matrix A.

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Answer:

the second one?

Step-by-step explanation:

3 x 3 is the prime factorization of 9.

What is a Prime factor?

A natural number other than 1 in which the only factors are 1 and on its own is referred to as having a prime factor.

In fact, the first five prime numbers are 2, 3, 5, 7, 11, and so forth.

How is the prime factor determined?

To use the division method to determine a number's prime factors, follow the following steps:

Step 1 : Divide the specified integer by the smallest prime number as the

Step 2 : Divide the quotient yet again by the smallest prime number in

Step 3: Keep on in the same fashion until the quotient reaches 1.

Step 4: Multiply all the prime factors at the conclusion.

The average of the nine elements is what?

Average is the result of dividing the total by a certain number.

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The function of the town's population is an exponential growth

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

Initial population = 3800

Growth  rate = 2% every year

From the above, we understand that

There is a growth in the population by 2% every year

Using the above as a guide, we have the following:

This means that the function is an exponential growth

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On solving the provided question, we can say that - => K not equal to 0 at x= 0 and so, center of curvature exists.

In geometry, a curve's center of curvature is located at a point that is offset from the curve by an amount equal to the radius of curvature that lies on the normal vector. zero-curvature point at infinity. The center of the curve serves as the osculating circle. The sphere holding the spherical mirror's center serves as its center of curvature. A "C" is used to symbolize this. the center of a circle with a radius equal to the radius of curvature of a particular point on the curve, whose center is on the concave side of the curve and which is normal to that point.

The curvature K at the point (x,y) is given by if C is a graph of the twice differentiable function y = f(x)y=f(x).

\(K = \frac{|y^{''}|}{[1 + (y')^2 ]^{3/2}}\)

Curvature of the given curve at x=0x=0 is

=> K not equal to 0 at x= 0

so,

center of curvature exists.

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If the standard deviation of a set of data is 6, then the value of variance is 36

The formula for determining variance is variance = √Standard deviation

Variance of a set of data is equal to square of the standard deviation.

If the standard deviation of a set of data is 6 then we get variance by putting the value of standard deviation in the formula

variance = √Standard deviation

Take square root on both sides

Standard deviation² = 6²

Standard deviation= 36

Hence,  standard deviation of a set of data is 6, then the value of variance is 36

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Answer:

7 7/8 is my answer

Step-by-step explanation:

All you need to do is turn you mixed numbers into improper fractions 4 1/2 as an improper fraction is 9/2 and 1 3/4 as an improper fraction is 7/4. Then, you would mulitply them which will give you 63/8. After that, you would divide 63 by 8 which is 7 is you is your answer but you also have 7 as a remainder, which is good. That would be your numerator and the other 7 would be your mixed number. The 8 we were just talking about, would stay as your numerator. So, your answer is 7 7/8.  

Hope that helps!!

The alternative and null are both population-based assertions. The reason for this is that the purpose of hypothesis testing is to draw conclusions about a population from a sample.

A hypothesis is a theory put up to explain a phenomena. A hypothesis must be testable according to the scientific method for it to be considered a scientific hypothesis. Scientific hypotheses are often based on prior findings that cannot be adequately explained by the current body of knowledge. A hypothesis is a provisional, verifiable response to a question in science. When a scientist is interested in a particular scientific inquiry, she reads up to learn what is already known about the subject. She then makes a go at a solution to her scientific query using the facts.

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Answer:

24.17

Step-by-step explanation:

Answer:

$24.17 per feet

Step-by-step explanation:

290/12=24.1666...

24.16666 rounds to 24.17

The difference between the two localities is 1 speaker.

Let's solve the problems step by step:

a) To determine which of the two locations has a higher number of speakers of a language other than Spanish, we need to compare the ratios of speakers in El Cerrito and El Paseo.

In El Cerrito, 3 out of every 4 people speak a different language than Spanish. This can be written as a ratio: 3:4.

In El Paseo, 5 out of every 7 people speak a different language than Spanish. This can be written as a ratio: 5:7.

To compare the two ratios, we can find a common denominator. In this case, the least common multiple of 4 and 7 is 28.

In El Cerrito, the ratio becomes 21:28 (multiplying both sides by 7).

In El Paseo, the ratio becomes 20:28 (multiplying both sides by 4).

From the ratios, we can see that in El Cerrito, there are 21 out of 28 people who speak a different language than Spanish, while in El Paseo, there are 20 out of 28 people who speak a different language than Spanish.

Since 21 is greater than 20, El Cerrito has a higher number of speakers of a language other than Spanish.

b) The difference between the two localities can be calculated by subtracting the number of speakers in El Paseo from the number of speakers in El Cerrito.

In El Cerrito, there are 21 speakers of a different language than Spanish.

In El Paseo, there are 20 speakers of a different language than Spanish.

The difference is obtained by subtracting 20 from 21, resulting in a difference of 1 speaker.

Therefore, the difference between the two localities is 1 speaker.

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The critical value used to test if there is evidence of an effect due to blocks at the 5% level of significance is 10.76.

The critical value can be determined using a statistical table.

The degrees of freedom for the blocks is 4 (df_b = 5 - 1 = 4) and for the treatments is 2 (df_t = 3 - 1 = 2).

The critical value for a 5% level of significance is 10.76.

This value can be found in the statistical table given in the textbook.

The critical value used to test if there is evidence of an effect due to blocks at the 5% level of significance can be calculated by using the F-test statistic.

The F-test is used to compare the variance between the blocks (SSBL) and the variance between the groups (SSB).

The F statistic is calculated by dividing the variance between the blocks (SSBL) by the variance between the groups (SSB).

In this case,

The F statistic is 3738/1048.93 = 3.56.

The critical value for a 5% level of significance can be found using a statistical table.

According to the table,

The critical value for an F statistic of 3.56 with four degrees of freedom in the numerator and four degrees of freedom in the denominator is 10.76

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Answer:

B- For each hour that Michelle drove, she traveled an additional 50 miles.

Step-by-step explanation:

The statement that is true is For each hour that Michelle drove, she traveled an additional 50 miles.

The graph shows the relationship between a distance and the time .

With the graph interpretation, it display the relationship between the  number of hours that Michelle is driving as well as the distance, and it can be deduced that it started at  0 hours, and distance of 350 miles

Hence, option B is correct because  Michelle drove, an additional 50 miles since at zero y-coordinate was  no more distance to cover.

Check the graph at the attachment.

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Answer:

Part 1

The drawing of the quadrilateral is included here

Part 2

The area of the quadrilateral is 60.5 unit²

Step-by-step explanation:

Part 1

Please find attached the given drawing of the quadrilateral created with Microsoft Excel

Part 2

The given quadrilateral ABCD comprises of a trapezium AECD and triangle ABE

The height of the trapezium, h₁ = 4 units

For segment BC, we have;

The slope = (-5 - (-2))/(5 - (-4)) = -1/3

The equation of the line BC in point and slope form is y - (-5) = -1/3×(x - 5)

Which gives;

y = -1/3×(x - 5) - 5 = -x/3 + 5/3 - 5 = -x/3 - 10/3

The y-intercept is (0, -10/3)

The lengths of the opposite parallel sides of the trapezium AECD are;

a = 5 - (-2) = 7 and b = 7 - (-10/3) = 31/3

The area of the trapezium AECD = ((a + b)/2) × h₁ = ((7 + 31/3)/2) × 4 = 104/3 unit²

The height of triangle

The area of ABE, h₂ = 5

The base of triangle ABE = b = 31/3

The area of triangle ABE = 1/2 × b × h₂ = 1/2 × 31/3 × 5 = 155/6 unit²

The area of quadrilateral ABCD = The area of the trapezium AECD + The area of triangle ABE

∴ The area of quadrilateral ABCD = 104/3 unit² + 155/6 unit² = 60.5 unit².

Answer:

Step 2

Step-by-step explanation:

During step 2, when dividing by 4 on both sides, Jessica got -16 / 4 was 4, which is not true. Basically she switched the sign when she shouldn't have.

Answer:

B

Step-by-step explanation:

a function doesn't have any repeating x values

To solve inequalities we proceed as usual as when solving equations, we need to isolate the variable to one of the sides of the inequality.

The solution of the inequality includes all number that are greater than 3.

Answer:

You got this you don't get help

Step-by-step explanation:

Answer:

savannah is the answer.its correct

0.5328 is the probability that a patient has total cholesterol between 180 and 190

We have, Mean value, μ = 200 mg/dl

Standard deviation, σ = 20 mg/dl

Let X be the random variable that represents the total cholesterol levels in the population, then the distribution of X is given as follows:

X ~ N(μ, σ^2)Here, X ~ N(200, 20^2)

Now, the probability that a patient has total cholesterol levels between 180 and 190 i.e.,P(180 < X < 190)

Using the Z-score standardization formula,

Z = (X - μ) / σ

Z-score for X = 180,

Z₁ = (180 - 200) / 20 ⇒ -1

Z-score for X = 190,

Z₂ = (190 - 200) / 20 ⇒ -0.5

Therefore, P(180 < X < 190) = P(-1 < Z < -0.5)

Now, we can use a standard normal distribution table to find this probability:

P(-1 < Z < -0.5) = Φ(-0.5) - Φ(-1) ⇒ 0.6915 - 0.1587 = 0.5328 (rounded to 4 decimal places)

Therefore, the probability that a patient has total cholesterol levels between 180 and 190 is 0.5328 (rounded to 4 decimal places).

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Answer:

100W + 25L

Step-by-step explanation:

100 (week) + 25 (lawn) = money earned

100W + 25L

Answer:

100w+25l

Step-by-step explanation:

The length of the Yangtze River is 5530 kilometers.

An equation is a combination of different variables, in which two mathematical expressions are equal to each other.

Given that,

The length of the Nile river = 6,690 kilometers.

Also, The Nile river is 1,160 kilometers longer than the Yangtze River.

Let the length of Yangtze River is x kilometers,

Use equation format,

x + 1160 = 6690

x = 6690 - 1160

x = 5530

The length of the Yangtze River is 5530 kilometers.

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In triangle LMN, side LM corresponds to side QR, side MN corresponds to side RP, side NL corresponds to side PQ, angle L corresponds to angle Q, angle M corresponds to angle R, and angle N corresponds to angle P in triangle QRP.

When triangle LMN is rotated 180° clockwise about point M and then translated up, it becomes triangle QRP.

To identify the corresponding parts in the two triangles, let's start with the sides:

1. Side LM corresponds to side QR.
2. Side MN corresponds to side RP.
3. Side NL corresponds to side PQ.

Now let's move on to the angles:

1. Angle L corresponds to angle Q.
2. Angle M corresponds to angle R.
3. Angle N corresponds to angle P.

So, in triangle LMN, side LM corresponds to side QR, side MN corresponds to side RP, side NL corresponds to side PQ, angle L corresponds to angle Q, angle M corresponds to angle R, and angle N corresponds to angle P in triangle QRP.

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