Can someone pls help me to find the answer

Answer:

96

Step-by-step explanation:

First, you find the area of RPQ using 1/2×base×height. That is, 1/2×6×8. And the answer is 24. Then you multiply 24 by 4 to get the area of all the sides excluding the base to get 96.

The independent variable in the regression analysis that will be conducted is the Grade Point Average (G) of university graduates.

It is considered the independent variable because it is the predictor or explanatory variable that is believed to have an effect on the dependent variable, which is the salary offered (W). The regression analysis will help to estimate the relationship between the two variables and provide a mathematical equation that can be used to predict the expected salary for a given Grade Point Average.

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The factored form of 9a² - b² - 4c² + 4bc is

(3a + b - 2c) (3a - b + 2c)

An expression is a way of writing a statement with more than two variables or numbers with operations such as addition, subtraction, multiplication, and division.

Example: 2 + 3x + 4y = 7 is an expression.

We have,

9a² - b² - 4c² + 4bc

9a² - (b² + 4c² - 4bc)

Now,

(b² + 4c² - 4bc)

This can be written as,

= (b² - 4bc + 4c²)

= (b - 2c)²

Now,

9a² - (b - 2c)²

(3a)² - (b - 2c)²

This is in the form of a² - b².

a² - b² = (a + b) (a - b)

So,

(3a + b - 2c) (3a - b + 2c)

Thus,

(3a + b - 2c) (3a - b + 2c) is the factored form.

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Given the selling prices for homes in a certain community are approximately normally distributed

Mean = μ = $321,000

Standard deviation = σ = $38,000

For the following cases, we will find the z-score as follows:

And we will use the following chart:

Estimate the percentage of homes in this community with selling prices:

A) between $245,000 and $397,000

So, the z-score for the given prices will be:

So, the percentage when -2 < z < 2 will be as shown from the chart = 95%

B) above $435,000

The area under the curve = 100%

So, the percentage when z > 3 will be = 0.5%

C) below $283,000

so, the percentage when z < -1 will be = 50 - 34 = 16%

D) between $283,000 and $435,000

We will find the percentage in case if: -1 < z < 3

So, the percentage will be = 34 + 34 + 13.5 + 2 = 83.5%

The local maxima and minima of the function are

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

f(x) = sin²(x) cos²(x)

The interval is given as

Interval = (-π, π)

Next, we plot the graph of the function f(x) (see attachment)

From the attached graph, we have

Local maxima = (-π/4 + nπ/2, 0.25) where n = {0, 1, 2, 3}

Local minima = (-π/2 + nπ/2, 0) where n = {0, 1, 2}

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Question

Find the local maximal and minimal of the function give below in the interval (-π,π)

f(x) = sin²(x) cos²(x)

The survival time of a 60kg deer without food at -20 degrees Celsius depends on various factors, including its age, sex, and physical condition. However, assuming the deer is healthy and has 5kg of fat, it could potentially survive for around 30 to 50 days without food.

The exact survival time can vary depending on several factors, such as the deer's level of physical activity, environmental conditions, and how much energy it is expending to stay warm in the cold temperature. Additionally, if the deer is able to find sources of water, this can also increase its chances of survival.

It's important to note that this is just an estimate and that the actual survival time may vary. If the deer is injured or sick, its chances of survival may be reduced, and it may not be able to survive as long without food.

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Complete Question

How many days could a 60kg deer survive without food at -20 degrees Celsius if it has 5kg of fat?

In order to find the value of x, you first take into account that the angle ∠AED is equal ∠DEC. Furthermore, angle x is equal to ∠AED.

Thus, you have:

∠AED = ∠DEC = x

Next, you take into account that the sum of the angles ∠DEC + ∠BEC is equal to 180°, that is:

∠DEC + ∠BEC = 180

But, angle ∠BEC is equal to 3x - 10

∠BEC = 3x - 10

Then, you sum the algebraic expressions given above, just as follow:

∠DEC + ∠BEC = 180

x + 3x - 10 = 180

You solve the previous equation for x:

x + 3x - 10 = 180

4x = 190

x = 190/4

x = 85/2

Hence, the value of x is 85/2 °

Before I answer:

Thanks for making it more clear

Answer:

x = -17

Step-by-step explanation:

-17 + 5 = -12

-12 ÷ 4 = -3

Answer:

the correct answer is 8:9 or C.

Answer:

360

Step-by-step explanation:

The subspace in R^4 where the second and fourth entries are equal has a dimension of 2 and can be spanned by the basis {v1 = (1, 0, 0, 1), v2 = (0, 1, 0, 1)}.

Consider the subspace of all vectors in ℝ^4 whose second and fourth entries are equal.
(a) To find the dimension of this subspace, we need to determine the number of linearly independent vectors that span the subspace.
Let's call the second and fourth entries of the vectors x and y, respectively. Since x and y are equal, we can write the vectors in this subspace as [a, x, b, x], where a and b can be any real numbers.
Let's simplify this representation further. We can rewrite the vector as [a, x, b, x] = a[1, 0, 0, 0] + x[0, 1, 0, 0] + b[0, 0, 1, 0] + x[0, 0, 0, 1].
From this representation, we can see that the subspace is spanned by four linearly independent vectors: [1, 0, 0, 0], [0, 1, 0, 0], [0, 0, 1, 0], and [0, 0, 0, 1]. Therefore, the dimension of this subspace is 4.

(b) To find a basis for this subspace, we can simply list the four linearly independent vectors mentioned above: {[1, 0, 0, 0], [0, 1, 0, 0], [0, 0, 1, 0], [0, 0, 0, 1]}. These vectors form a basis for the subspace, as they are linearly independent and span the subspace.
In summary, the dimension of this subspace is 4, and a basis for this subspace is {[1, 0, 0, 0], [0, 1, 0, 0], [0, 0, 1, 0], [0, 0, 0, 1]}.
In summary, the subspace in R^4 where the second and fourth entries are equal has a dimension of 2. It can be spanned by the basis {v1, v2}, consisting of vectors that satisfy the condition and are linearly independent.

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The chi-square goodness-of-fit test can provide important information about whether the observed data significantly deviates from the expected distribution, which categories or bins contribute to the deviation, and the overall goodness-of-fit of the data to the expected distribution.

The chi-square goodness-of-fit test is a statistical test used to determine if a sample of data comes from a population with a specific distribution. Specifically, the test compares the observed frequencies of data in different categories or bins with the expected frequencies of data in those categories based on a hypothesized distribution.

It can determine whether the observed data significantly deviates from the expected distribution. If the test results in a p-value less than the chosen level of significance, it indicates that the observed data significantly deviates from the expected distribution, and the null hypothesis (that the data follows the expected distribution) can be rejected.

It can identify which categories or bins contribute the most to any significant deviation. The test statistic and associated p-value can help to identify which categories or bins show significant differences between the observed and expected frequencies.

It can provide information on the overall goodness-of-fit of the data to the expected distribution. The test statistic provides a measure of the overall goodness-of-fit, with higher values indicating greater deviation from the expected distribution.

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Answer:

\(\huge\underline{\red{A}\blue{n}\pink{s}\purple{w}\orange{e}\green{r} -}\)

the question asks us to rationalise the given term ! thus , we'll just have to remove the √3 from th denominator anyhow !

let's start ~

\( \frac{2 \sqrt{5} }{7 - \sqrt{3} } \\ \\ \implies \: \frac{2 \sqrt{5} }{7 - \sqrt{3} } \: \times \: \frac{7 + \sqrt{3} }{7 + \sqrt{3} } = \frac{14 \sqrt{5} + 2 \sqrt{15} }{(7) {}^{2} - ( \sqrt{3) {}^{2} } } \\ \\ \implies \frac{14 \sqrt{5} + 2 \sqrt{15} }{49 - 3} \\ \\ \implies \frac{14 \sqrt{5} + 2 \sqrt{15} }{46} \\ \\ \implies \: \frac{\cancel{2}(7 \sqrt{5{} } \: + \sqrt{15} )}{\cancel{46} } \\ \\\bold\red{ \implies \: \frac{7 \sqrt{5} + \sqrt{15} }{23}}\)

hope helpful :D

The average speed of a falling object during the first 3 seconds of its fall is h(3)-h(0)/3.

The model of the motion of the body is given by, and the function of the motion of the body is given by h(t) = 300 - 16t².

The speed of object after 3 seconds is given by . The falling speed of object during the first 3 seconds of falling is calculated as follows, v = dh(t)/dt = -32t.

So now the average speed of the movement is calculated as follows,

v = h(3)-h(0)/3.

Option d is therefore the correct option.

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Complete question - the height, h, of a falling object t seconds after it is dropped from a platform 300 feet above the ground is modeled by the function . what is the average rate at which the object falls during the first 3 seconds?

A.) h(3) – h(0)

B.) h(3/3)-h(0/3)

C.) h(3)/3

D.) (h(3)-h(0))/3

The formula for the volume of a pyramid in terms of the base area (b) is b = (3v) / h.

To rewrite the formula for the volume of a pyramid in terms of the base area, we can rearrange the equation v = bh/3.

1. Multiply both sides of the equation by 3 to eliminate the fraction: 3v = bh.
2. Divide both sides of the equation by h to isolate b: b = (3v) / h.

To rewrite the formula, we start with the original formula v = bh/3. We want to isolate the base area (b), so we first multiply both sides of the equation by 3 to eliminate the fraction, resulting in 3v = bh. Then, to isolate b, we divide both sides of the equation by h, giving us b = (3v) / h. This final equation allows us to find the base area (b) given the volume (v) and height (h) of the pyramid.

The formula for the volume of a pyramid in terms of the base area is b = (3v) / h.

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The geometric tolerance that can be measured with a dial indicator to determine the variation of surface points as the part is rotated about a datum axis is circular runout.

Circular runout is a type of circularity control that defines a tolerance zone in which an object's surface can rotate around a datum axis. When the object is turned about the axis, the height variation between the surface and the axis must remain within the tolerance zone defined by circular runout.

In the case of a circular feature, the circular runout tolerance specifies the amount of circular deviation from the circular form that is allowable. Circular runout is used to control part wobble or out-of-roundness while a shaft or disk rotates about an axis.

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In the context of a one-sample t-test described as t(15), the information provided refers to the degrees of freedom for the t-distribution, not the mean or sample size.

The answer is option d: the sample size used is 14. In a one-sample t-test, the notation t(df) represents the t-distribution with degrees of freedom (df). The degrees of freedom depend on the sample size and are calculated as df = n - 1, where n is the sample size. In this case, t(15) indicates that the test statistic follows a t-distribution with 15 degrees of freedom. To calculate the degrees of freedom, we subtract 1 from the sample size. Therefore, the sample size used in this one-sample t-test is 14.

The degrees of freedom are important because they determine the shape of the t-distribution and the critical values used in hypothesis testing. As the sample size increases, the t-distribution approaches a standard normal distribution. However, with smaller sample sizes, the t-distribution has thicker tails, allowing for greater variability and accounting for the additional uncertainty in estimating the population parameters.

Hence, it is crucial to correctly interpret the notation in a one-sample t-test, understanding that the number following "t" represents the degrees of freedom, not the mean or the sample size.

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Answer:

0.38

Step-by-step explanation:

We will use ratios:

\(\frac{9.25}{3.5} =\frac{1}{x} \\\\9.25x=3.5\\x=0.38\)

Answer:

48

Step-by-step explanation:

is the answer

Yes, this confidence interval provide evidence of an association between development of cancer and taking finasteride.

The likelihood that a parameter will fall between two values around the mean is shown by a confidence interval. Confidence intervals quantify how confident or uncertain a sampling technique is. An estimate's level of uncertainty is described by a confidence interval, which is a range of numbers. You have a 5% probability of being incorrect with a 95% confidence interval. You have a 10% probability of being incorrect with a 90% confidence interval. A 95% confidence interval is narrower than a 99% confidence interval (for example, plus or minus 4.5 percent instead of 3.5 percent).

Here,

Yes, this confidence interval shows a connection between using finasteride and a higher risk of developing cancer.

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To rank the steps involved in transforming one couple to another couple in a parallel plane, here is the correct order:

Identify the initial couple and the desired final couple.

Determine the translation vector that will move the initial couple to the desired final couple.

Translate the initial couple using the determined translation vector. This will shift the entire couple in the parallel plane.

Verify that the translation has successfully moved the initial couple to the desired final couple.

If necessary, make any additional adjustments or transformations to align the initial and final couples precisely in the parallel plane.

Confirm that the final couple is now in the desired position and orientation relative to the initial couple, maintaining the parallelism of the plane.

By following these steps in order, you can effectively transform one couple to another in a parallel plane.

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Answer:

8

Step-by-step explanation:

hope this helps

Answer:

C. 3

Step-by-step explanation:

OP = √5²-4²=√25-16=√9= 3

Step-by-step explanation:

x² - 5x - 24 = (x - 8)(x + 3).

When x² - 5x - 24 = 0, (x - 8)(x + 3) = 0.

By Zero product rule, x - 8 = 0 or x + 3 = 0.

=> x = 8 or x = -3.

The solutions to the equation x²- 5x - 24 = 0 are x = 8 and x = -3.

To factorize the quadratic expression x² - 5x - 24.

we need to find two binomial factors that multiply together to give the original expression.

The factors can be determined by factoring the quadratic expression or by using the quadratic formula.

Let's use the factoring method:

We are looking for two numbers whose product is -24 (the coefficient of x² is 1) and whose sum is -5 (the coefficient of x is -5).

x² - 5x - 24

= (x - 8)(x + 3)

Now that we have factored the expression, we can set each factor equal to zero and solve for x:

x - 8 = 0 or x + 3 = 0

Solving each equation separately:

For x - 8 = 0:

x = 8

For x + 3 = 0:

x = -3

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907 . 5 m²  is the area and circumference of a circle  is 106.8 m².

What does a circle mean mathematically?

The collection of all points in the plane that make up a circle are all equally spaced from a certain point known as the "centre," making the form a closed two-dimensional shape. The symmetry line of reflection is formed by each line that traverses the circle. Moreover, it is rotationally symmetric about the centre for all angles.

Given that the radius of a circle is 17 m.

                A = πr²

               A = π (17)²

                   = 289π

                   = 289 * 3.14

                    = 907.46 m²

                     ≈ 907 . 5 m²

     Now circumference of the given circle-

                          C = 2πr

                        C = 2 π 17

                            = 34π

                             = 34 * 3.14

                            = 106.76 m²

                         C = 106.8 m²

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Answer:

The answer is b

Step-by-step explanation:

The distance traveled by the passenger train and the cattle train is equal to the total distance between them, which is 960 miles. Let x be the time (in hours) traveled by the passenger train and cattle train. Then, the equation that represents this situation is:

55x + 65x = 960

Simplifying the left-hand side of the equation, we get:

120x = 960

Dividing both sides by 120, we get:

x = 8

Therefore, the correct equation is:

B - 65x - 55x = 960

The mean distance is increased by a factor of \(2^{3/2}\) if the orbital period  of planet y is twice that of the planet x.

Description of the Kepler's law.

The orbital period T and the mean distance from the sun, A, expressed in astronomical units (AU), are related in accordance with Kepler's third law.

The mathematical formula is,

T² = A³

Here, T denotes the orbital period and A represents the average separation or mean distance from the sun.

Now, if T(y) = 2T(x)

⇒ A'³(y) = 2A³(x)

A'(y) = \(2^{3/2}\)A(y)

Thus, if orbital period of planet y is twice the orbital period of planet x, the mean distance is lengthened by a factor of \(2^{3/2}\).

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Answer:

2 Superscript three-halves

Step-by-step explanation:

Edge