I don’t know if it’s true or false

The perimeter of the rhombus is 4√117 feet.

What is rhombus?

A rhombus is a special type of quadrilateral (a polygon with four sides) where all four sides are equal in length. It is also known as a diamond shape because of its symmetrical appearance.

In a rhombus, the diagonals are perpendicular bisectors of each other. This means that they divide the rhombus into four congruent right triangles.

Let's denote the length of one diagonal as d1 and the length of the other diagonal as d2. In this case, d1 = 18 feet and d2 = 12 feet.

Each right triangle formed by the diagonals has legs equal to half the lengths of the diagonals. Therefore, the lengths of the legs are d1/2 = 18/2 = 9 feet and d2/2 = 12/2 = 6 feet.

Using the Pythagorean theorem, we can find the length of the hypotenuse of each right triangle, which is also a side of the rhombus.

\(h^2 = (leg1)^2 + (leg2)^2\\\\h^2 = 9^2 + 6^2\\\\h^2 = 81 + 36\\\\h^2 = 117\)

Taking the square root of both sides:

h = √117

Since the rhombus has four congruent sides, the perimeter is given by:

Perimeter = 4 * h = 4 * √117

Thus, the perimeter of the rhombus is 4√117 feet.

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Answer:

They'll need to see 12 movies together before they pay the same amount.

Let the number of movies be x

Based on the question given, the equation for Jaycie will be:

= 27 + (6 × x)

= 27 + 6x

The equation for Clarie will be:

= 8.25 × x

= 8.25x

Then, the equation to solve the question will be:

27 + 6x = 8.25x

Collect like terms

27 = 8.25x - 6x

2.25x = 27

x = 27/2.25

x = 12

They will see 12 movies together.

In statistics, a post-hoc test is a follow-up statistical test that is performed after obtaining a significant result in an ANOVA or a similar test. A post-hoc test is warranted when the F is significant and we have more than two groups.

Post-hoc tests are used to determine which specific groups are significantly different from each other, and to identify the direction of those differences.

In the given options, option A is correct. A post-hoc test is warranted when the F is significant and we have more than two groups. This is because the ANOVA only tells us whether there are differences among the groups, but it does not tell us which specific groups are different from each other. In order to determine the differences between the groups, we need to perform a post-hoc test.

Option B is incorrect. If we fail to reject the null hypothesis in an ANOVA, then there is no need for a post-hoc test, because we have not found any significant differences among the groups.

Option C is also incorrect. If we reject the null hypothesis in an independent-groups t test, then we have already found significant differences between two groups, and there is no need for a post-hoc test.

Option D is also incorrect. An a priori prediction is made before the experiment is conducted, and it is used to determine which statistical test to use. A post-hoc test, on the other hand, is used after the experiment is conducted and a significant result is obtained.

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Answer:

C) g(x) = f(x) + 4

Step-by-step explanation:

A vertical shift is where you shift, slide or translate the whole graph up or down (on a graph) The way this shows up in the equation is just a number tacked on to the end of the equation. A +anumber (like the +4 in the answer) slides the function UP four units. A

-anumber would slide the function DOWN instead.

As for the other answers:

A) the 3multiplied in front is a vertical STRETCH.

D) the 1/2 multiplied in front is a vertical shrink (smash)

B) The -3 in close tight with the x is a horizontal shift(slide, translate) It is a RIGHT shift. A +anumber would be a LEFT shift. Horizontal shift seem kind of backwards. + goes LEFT and - goes RIGHT.

Answer:

x = -1

Step-by-step explanation:

(x1,y1) = (1,4) and m = 2

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

derive the linear function first before finding the zero.

(y-4)/(x-1) = 2

cross multiply

y-4 = 2(x-1)

y-4= 2x - 2

y = 2x - 2+4

y. = 2x + 2 is the linear equation

at y = 0 gives the zero

2x + 2 = 0

2x = -2

x = -2/2

x = -1 is the zero

Answer:

The answer is 12.

~Hoped this helped~

Answer:

please mark me as brainliest answer

Step-by-step explanation:

The sum of two numbers is 17 and their difference is 5. What are the two numbers? Let's start by calling the two numbers we are looking for x and y.

The sum of x and y is 17. In other words, x plus y equals 17 and can be written as equation A:

x + y = 17

The difference between x and y is 5. In other words, x minus y equals 5 and can be written as equation B:

x - y = 5

Now solve equation B for x to get the revised equation B:

x - y = 5

x = 5 + y

Then substitute x in equation A from the revised equation B and then solve for y:

x + y = 17

5 + y + y = 17

5 + 2y = 17

2y = 12

y = 6

Now we know y is 6. Which means that we can substitute y for 6 in equation A and solve for x:

x + y = 17

x + 6 = 17

X = 11

Summary: The sum of two numbers is 17 and their difference is 5. What are the two numbers? Answer: 11 and 6 as proven here:

Sum: 11 + 6 = 17

Difference: 11 - 6 = 5

Answer:

√(30) - 3√(2) + √(55) - √(33) / 2

Step-by-step explanation:

\(~~25x^2-16=0\\\\\implies (5x)^2 -4^2 =0\\\\\implies (5x+4)(5x-4)=0\\\\\implies x = -\dfrac{4}5, ~~~x=\dfrac 45\)

Answer:

if the height is h and the base is 2b

then we have:

½(2bh)=60→2bh=120

b²+h²=13²=169

so

(b+h)²=b²+h²+2bh=120+169=289

(b-h)²=b²+h²-2bh=169-120=49

so

b+h=17

|b-h|=7

so b can be 12 and h can be 5

or b can be 5 and h can be 12

which means the base is either 24cm or 10cm

Answer:

1 : 6

Step-by-step explanation:

5 : 30 can be reduced to 1 : 6

8 : 48 can be reduced to 1 : 6

12 : 72 can be reduced to 1 : 6

20 : 120 can be reduced to 1 : 6

7/36

\(\frac{1}{6} /\frac{6}{7}=\frac{1}{6}*\frac{7}{6}=\frac{7}{36}\)

Answer:

x is undefined

Step-by-step explanation:

Given the equation

2^(2x-1)-9 X 2^(x-2)+1=0

Recall that

a^x * a^y = a^x+y

Hence

2^(2x-1)-9 X 2^(x-2)+1=0

2^(2x-1)-9 + (x-2)+1 = 0

2^2x - 1 -9 + x -2 + 1 = 0

x is undefined

The probability that more than 72% of the sampled UCF students will vote in the presidential election is approximately 0.0475 or 4.75%.

To calculate the probability that more than 72% of the sampled UCF students will vote in the presidential election, we need to use the normal distribution approximation since the sample size is large.

First, we find the mean (μ) and standard deviation (σ) of the sampling distribution using the given population proportion (p) of 0.70 and the sample size (n) of 1250:

μ = p = 0.70

σ = √(p(1-p)/n) = √(0.70 * 0.30 / 1250) ≈ 0.012

Next, we need to standardize the desired proportion of more than 72% (0.72) using the z-score formula:

z = (x - μ) / σ

z = (0.72 - 0.70) / 0.012 ≈ 1.67

Now, we can find the probability using the standard normal distribution table or calculator. The probability that more than 72% of the sampled students will vote in the presidential election is the area under the curve to the right of the z-score of 1.67.

Using the standard normal distribution table or calculator, we find that the probability is approximately 0.0475.

Therefore, the probability that more than 72% of the sampled UCF students will vote in the presidential election is approximately 0.0475 or 4.75%.

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In a random sample of 150 observations, p=0.6. The 98% confidence interval for P is given by: 0.514 to 0.693. This is option B

The formula for the 98% confidence interval for the population proportion (p) is given by:

Lower Limit of 98% CI = p - z*(√(p(1-p))/n)

Upper Limit of 98% CI = p + z*(√(p(1-p))/n)

Where,z is the Z score associated with the level of confidence,n is the sample size of observations, and

p is the sample proportion.

Substituting the given values in the above formula:

Lower Limit of 98% CI = 0.6 - 2.33*(√(0.6(1-0.6))/150)

Upper Limit of 98% CI = 0.6 + 2.33*(√(0.6(1-0.6))/150)

Lower Limit of 98% CI = 0.5138

Upper Limit of 98% CI = 0.6862

Therefore, the 98% confidence interval for p is (0.514, 0.693).

Hence, option b. is correct.

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Answer:

1.6 km in a mile

Step-by-step explanation:

that's the anwer

Answer:

There is 1.60934 kilometers in a mile

Step-by-step explanation:

Solving a linear equation we can conclude that Ricardo's allowance was $55.50

Let's define x as Ricardo's allowance.

We know that Ricardo spent half of his allowance, then at this point, he has x/2 left. Now he spends $5.25 in a snack, and after that, he has a total of $22.50 left.

Then we can solve the linear equation:

x/2 - $5.25 = $22.50

x/2 = $22.50 + $5.25 = $27.75

x = 2*( $27.75) = $55.50

Then we can conclude that Ricardo's allowance was $55.50

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The standard deviation measures the spread of data points around the mean. It considers all data points, not just the farthest or nearest ones. A higher standard deviation indicates a greater spread.

The standard deviation is a statistical measure that tells us how much the data points in a set vary from the mean. It provides information about the spread or dispersion of the data. To calculate the standard deviation, we take the square root of the variance, which is the average of the squared differences between each data point and the mean.

By considering all data points, the standard deviation provides a comprehensive measure of how spread out the data is. Therefore, the statement "The difference between the mean and the data point farthest from the mean" is incorrect, as the standard deviation does not focus on just one data point.

The statement "The difference between the mean and the data point nearest to the mean" is also incorrect because the standard deviation takes into account the entire data set. The statement "The difference between the mean and the median" is incorrect as well, as the standard deviation is not specifically related to the median.

Hence, the correct answer is "None of the above."

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Answer:

Step-by-step explanation:

P = 2( L + W)

To solve for L first divide both sides by 2

That's

\( \frac{P}{2} = L + W\)

Move W to the other side of the equation to make L stand alone

We have the final answer as

\(L = \frac{P}{2} - W \\ \)

Hope this helps you

Answer:

16 feet

Step-by-step explanation:

We are Given that

A ladder leaning against a object makes the ladder slanted so that means 34 is our hypotense.

The building height And distance of the bottom of ladder and building is our legs so our formula we use is

\( {30}^{2} + {x}^{2} = {34}^{2} \)

\(900 + {x}^{2} = 1156\)

\( {x}^{2} = 256\)

\(x = 16\)

By using the natural logarithm, we will see that the value of a is 0.33

We know that:

h(x) = x^a

And we know that:

h(27x) = 3h(x).

We can rewrite this as:

(27x)^a = 3*(x)^a

And remember that we can distribute exponents, so the left side can be rewritten as:

(27*x)^a = (27^a)*(x^a)

Then we have:

(27^a)*(x^a) = 3*(x)^a

This means that:

27^a = 3

Now remember the rule:

ln(x^n) = n*ln(x)

If we apply the natural logarithm to both sides, we get:

ln(27^a) = ln(3)

a*ln(27) = ln(3)

a = ln(3)/ln(27) = 0.33

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The house was in the shape of an octagon, with eight separate bedrooms on each side.

The house described in the statement has an octagonal shape. An octagon is a polygon with eight sides, characterized by its eight equal angles. In this case, each side of the house corresponds to one of these angles, resulting in eight separate bedrooms on each side of the octagonal structure.

The choice of an octagon as the shape of the house can have various implications. Octagonal buildings are often admired for their unique architectural design and aesthetic appeal. The shape provides symmetry and balance, allowing for an interesting and visually pleasing structure. Additionally, an octagonal layout can offer practical advantages in terms of space utilization and room distribution. In the case of the house described, each side of the octagon accommodates a separate bedroom, providing privacy and ample living space for its occupants. The symmetrical arrangement of the bedrooms around the central area of the house could create a harmonious and well-organized living environment. Overall, the octagonal shape of the house with eight separate bedrooms on each side offers both architectural and functional benefits.

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To find the magnitude of r prime of quantity pi over 3 end quantity, we first need to take the derivative of r of t. r prime of t = a vector with two components, sec^2(t) and 2csc(2t) .Then, we can evaluate r prime of pi/3 using these components: r prime of pi/3 = a vector with two components, sec^2(pi/3) and 2csc(2(pi/3)).
Using the fact that sec^2(pi/3) = 4 and csc(2(pi/3)) = -2sqrt(3)/3, we can simplify the vector to: r prime of pi/3 = a vector with two components, 4 and -4sqrt(3)/3
Now, we can find the magnitude of this vector using the formula:

magnitude of a vector = square root of (sum of squares of its components)

magnitude of r prime of pi/3 = square root of (4^2 + (-4sqrt(3)/3)^2)

= square root of (16 + 16/3)

= square root of (64/3)

= 4/square root of 3

Multiplying this by the given constants (1/3 square root of thirty four, 1/2 square root of nineteen, 2 square root of thirteen over three, 4/3 square root of ten), we get the final answer:

magnitude of r prime of quantity pi over 3 end quantity = (4/square root of 3) * (1/3 square root of thirty four) * (1/2 square root of nineteen) * (2 square root of thirteen over three) * (4/3 square root of ten)

= 16/square root of (3 * 34 * 19 * 13 * 10/9)

= 16/square root of 2,583.49

= 16/50.83

= 0.3147 (rounded to four decimal point)

To find the magnitude of r'(π/3), we need to take the square root of the sum of the squared components:

Magnitude of r'(π/3) = √[sec^4(π/3) + (2*cot(2(π/3))*csc^2(2(π/3)))^2]

Once you evaluate the trigonometric functions at π/3 and simplify the expression, you will have the magnitude of r'(π/3).

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Answer:

6 units :)

Step-by-step explanation:

If the null hypothesis is true in a chi-squared test, then we expect the test statistic to be approximately equal to its expected value.

In a chi-squared test, the null hypothesis is the statement that there is no significant association between two variables. If the null hypothesis is true, then we expect the test statistic to be approximately equal to its expected value. The expected value is calculated using the degrees of freedom and the expected frequency of each category in the contingency table.

The chi-squared test statistic is calculated by subtracting the observed frequency from the expected frequency for each category and then squaring the result. These squared differences are then summed across all categories to calculate the chi-squared test statistic.

If the null hypothesis is true, we expect the test statistic to be close to its expected value. This is because when the null hypothesis is true, the observed frequencies should be close to the expected frequencies. Therefore, the squared differences should be small, resulting in a small test statistic.

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Answer:

x= 5

Step-by-step explanation:

factorised the equation is (x-5) (x+3)

x=5 x=-3

Answer:

Option D.

Step-by-step explanation:

It is given that function g(x) represented by the graph. In the graph parabola opening down passing through (0,2), (-1.5,4.25), and (-3.5,0).

We need find the solutions of g(x) shown in the graph.

An ordered pair is called a solution of a function if it lie on graph of that function.

So, all the points lie on graph of function g(x) are the solutions of function g(x).

Therefore, the correct option is D.

Answer:

D

Step-by-step explanation:

I took the test

Answer:    b. 33

Step-by-step explanation:

The range is when you subtract the lowest value in the number set by the highest number in the number set. For this particular example, it would be 34-1= 33.

Hope this helps you!