Someone please answer this correctly

answer: 1.13622

Step by step explanation:

n:

0=(3x-4)/5

0=3x/5-4/5

x=1.3.....

The vertices of ABCD after 90 degrees clockwise rotation about point C are: A' (0,6), B' (3,7), C' (4,6) and D' (4,3)

The image of the polygon ABCD is not given; however, the question can still be answered because the coordinates are known.

The vertices of polygon ABCD are given as:

A = (4, 6)

B = (5, 3)

C = (4, 2)

D = (1, 2)

The rule of rotation about point C is:

(x,y) = (a + b - y, x + b - a)

Where:

(a, b) = (4, 2) --- the point of rotation.

So, we have:

(x,y) = (4 + 2 - y, x + 4 - 2)

(x,y) = (6 - y, x + 2)

The above means that:

A' = (6 - 6, 4 + 2) = (0,6)

B' = (6 - 3, 5 + 2) = (3,7)

C' = (6 - 2, 4 + 2) = (4,6)

D' = (6 - 2, 1 + 2) = (4,3)

Hence, the image of the rotation and their vertices (i.e. coordinates) are:

A' = (0,6)

B' =  (3,7)

C' = (4,6)

D' =  (4,3)

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The principal in this scenario is $ 8000.

Simple Interest can be defined as the sum paid back for using the borrowed money, over a fixed period of time.

Compound Interest can be defined as when the sum principal amount exceeds the due date for payment along with the rate of interest, for a period of time.

It is Given that:

Priscilla invested 20,000 that means the total amount she invested.

Amount= $ 20,000

Rate of interest=12%

Time= 5 year

Interest= $12,000.

By the formula;

Amount =  principal + Interest

Principal = Amount - Interest

Principal= $ 20,000- $12,000

Principal=$ 8000

Hence, the principal in this scenario is $ 8000.

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Answer:

101 it called ratios

Step-by-step explanation:

it simple you see the pattern it goes 101010 and the next three is 101

For the given median, there are 50 students who scored greater than 72.

What is median?

The median is a measure of central tendency in a set of numerical data. It is the value that separates the higher half of the data from the lower half when the data is arranged in order from least to greatest or greatest to least.

We are given that 99 6th graders took a test and the median score was 72. We want to find out how many students scored greater than 72.

Let the scores be denoted by S1, S2, ..., S99. We can sort these scores in order from least to greatest:

S1 ≤ S2 ≤ ... ≤ S99

Since the median score is 72, exactly half of the scores are above 72 and half are below 72. Thus, the 50th score in the sorted list is 72.

Since there are 99 scores in total, we can approximate the number of students who scored above 72 by dividing the total number of students by 2:

\($\frac{99}{2} = 49.5$$\)

This means that approximately 49.5 students scored above 72.

Since 0.5 rounds up to 1, we round 49.5 up to 50. Therefore, approximately 50 students scored greater than 72.

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The pair of functions are f(g(x)) = √(x² + 1) +4  and g(f(x)) = x² + 4√x + 17

The function is defined as a mathematics expression that defines a relationship between one variable and another variable.

Given the system of functions as

f(x) = √x +4,

And g(x) = x² + 1

To determine the values of f(g(x)) and g(f(x)).

f(g(x)) = g(x) of f(x)

⇒ f(x) = √x +4,

Substiute the values of g(x) in the f(x)

⇒ f(g(x)) = √(x² + 1) +4

g(f(x)) =  f(x) of g(x)

⇒ g(x) = x² + 1

Substiute the values of f(x) in the g(x)

⇒ g(f(x)) = (√x +4)² + 1

⇒ g(f(x)) = (√x)² +4² + 4√x + 1

⇒ g(f(x)) = x² + 4√x + 17

Hence, the pair of functions are f(g(x)) = √(x² + 1) +4  and g(f(x)) = x² + 4√x + 17

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Answer:

Step-by-step explanation:

The expression in standard form that represents the area of the square with side length s is given by:

A = s^2

However, if you want to substitute the value of s with the expression 5y+3, then the area expression becomes:

A = (5y+3)^2

Expanding the expression, we get:

A = 25y^2 + 30y + 9

Therefore, the expression in standard form that represents the area of the square with side length 5y+3 is 25y^2 + 30y + 9.

   45x² - 42x + 9=0 is a simplified expression for the perimeter of the rectangle.

What is a rectangle, exactly?

A rectangle is an instance of a quadrilateral with opposing sides that are both equal and parallel. It has four sides, making it a four-sided polygon, and four angles at 90 degrees. Rectangles are examples of two-dimensional forms.

                             The closed, 2-D form of a rectangle has four sides, four corners, and four angles that are 90 degrees correct. The two sides of a rectangle are parallel and equal. Given that rectangles are two-dimensional objects, their distinctive features are length and breadth.

A rectangle has a width = 5x/x+3 units

an area = 40x²/x²-9 square units.

Area of rectangle = length * width

                40x²/x²-9  =   length * 5x/x+3

                 40x² /(x-3) (x + 3)  = length * 5x/x + 3

                   40x² * (x + 3 )/5x * (x+ 3) (x - 3) = length

                       8x/(x - 3 ) =  length

perimeter of rectangle = 2( l + w )

                              = 2(8x(x+ 3) + 15x(x - 3))/x² - 9

                              = 2(8x² + 24x + 15x - 45x )/x² - 9

                            = 2(23x² - 21x)/x² - 9

                     x² - 9   = 46x² - 42x

                     45x² - 42x + 9=0

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The value of x by the use of the laws of trigonometry is 94 degrees.

Vertically opposite angles are a pair of angles formed by the intersection of two straight lines. When two lines intersect at a point, four angles are formed, and the angles that are opposite each other and not adjacent are called vertically opposite angles. Vertically opposite angles are always equal in measure, which means that they have the same angle degree or radian measure.

We know that the interior angle is vertically opposite to 39 degrees and the exterior angle is equal to the sum of the opposite interior angles.

Hence;

55 + 39 = 94 degrees

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The negations of the given statements with the application of De Morgan's law and/or conditional law.

a) ∃x (¬P(x) ∨ ¬R(x))

De Morgan's law:

∃y ∀z(¬P(y) ∧ ¬Q(z))

b) ∃y ∀z(¬P(y) ∧ ¬Q(z))

The double negation:

∃y ¬∃z(P(y) ∨ Q(z))

c) ¬∃x (P(x) ∨ (∀z (¬R(z)) → (∀z ¬Q(z))))

The conditional law:

¬∃x (P(x) ∨ (∀z (¬R(z)) → (∀z ¬Q(z))))

Let's form the negation of the given statements and apply De Morgan's law and/or conditional law, when applicable:

a) ∀x (P(x) ∧ R(x))

The negation of this statement is:

∃x ¬(P(x) ∧ R(x))

Now let's apply De Morgan's law:

∃x (¬P(x) ∨ ¬R(x))

b) ∀y∃z(¬P(y) → Q(z))

The negation of this statement is:

∃y ¬∃z(¬P(y) → Q(z))

Using the conditional law, we can rewrite the negation as:

∃y ¬∃z(¬¬P(y) ∨ Q(z))

c) ∃x (P(x) ∨ (∀z (¬R(z) → ¬Q(z))))

The negation of this statement is:

¬∃x (P(x) ∨ (∀z (¬R(z) → ¬Q(z))))

Using the conditional law, we can rewrite the negation as:

¬∃x (P(x) ∨ (∀z (R(z) ∨ ¬Q(z))))

Applying De Morgan's law:

¬∃x (P(x) ∨ (∀z ¬(¬R(z) ∧ Q(z))))

Simplifying the double negation:

¬∃x (P(x) ∨ (∀z ¬(R(z) ∧ Q(z))))

Using De Morgan's law again:

¬∃x (P(x) ∨ (∀z (¬R(z) ∨ ¬Q(z))))

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Option A is the correct answer  The decision is to reject the Null Hypothesis. The conclusion is that there is enough evidence to reject the claim.

A test statistic is defined as how closely the distribution of the data matches the distribution predicted under the null hypothesis of the statistical test while using it.

the formula to calculate is:

z = (proportion mean - population proportion) ÷ sqrt(pq/n)

z=( X‾-p)÷ (pq / √n)------(1)

where X‾ is the sample mean,

μ0 defines the population mean,

p is the standard deviation of the sample

n is for the size of the sample.

proportion mean = x/n = 424/600 = 0.71

X‾=0.71

population proportion (p) = 70% = 0.70

μ0=0.70

q = 1 - p = 1 - 0.70 = 0.30

n = 600

z = (0.71 - 0.70) ÷ sqrt(0.70×0.30/600)

= 0.01 ÷ sqrt (3.5×10^-4)

= 0.01 ÷ 0.019

z= 0.53

The test statistic is 0.53

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Considering the dot plot, the tallest conifer is 3.25 inches taller than the shortest conifer.

This shows, with dots, the number of times that each of the measures appears in a data set.

For finding the dot plot, we have that:

The shortest conifer measures 6 and 1/4

= 6.25 inches.

The tallest conifer measures 9.5 inches.

The difference is:

9.5 - 6.25 = 3.25 inches.

Therefore the tallest conifer is 3.25 inches taller than the shortest conifer.

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Answer:

x=7

Step-by-step explanation:

Answer:

The vertex of the function is at (–3,–16)

The graph is increasing on the interval x > –3

The graph is positive only on the intervals where x < –7 and where

x > 1.

Step-by-step explanation:

The graph of \(f(x)=(x-1)(x+7)\) has clear zeroes at \(x=1\) and \(x=-7\), showing that \(f(x) > 0\) when \(x < -7\) and \(x > 1\). To determine where the vertex is, we can complete the square:

\(f(x)=(x-1)(x+7)\\y=x^2+6x-7\\y+16=x^2+6x-7+16\\y+16=x^2+6x+9\\y+16=(x+3)^2\\y=(x+3)^2-16\)

So, we can see the vertex is (-3,-16), meaning that where \(x > -3\), the function will be increasing on that interval

Answer:

1

Step-by-step explanation:

you asked to type 1

Answer:

\(distributive \: law \\ 34 \times( 6 5 + 27) \\ = 34 \times 65 + 34 \times 27 \\ thank \: you\)

The expression can be written as (34×65) + (34×27), hence, option (D) is the correct answer.

For any real numbers a, b, and c the distributive property states that
a×(b + c)= a×b + a×c.

The given expression is 34×(65 + 27)

Rewrite the expression as follows:

34×(65 + 27)

Use distributive property:

=34×65 + 34×27

=(34×65) + (34×27)

The expression can be written as (34×65) + (34×27), hence, option (D) is the correct answer.

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From the dot plot the median for Daniel is obtained as option D: 16.

What is median?

In mathematics, the middle number in a sorted list of numbers is referred to as the median. By arranging the numbers, the middle number can be discovered. Ascending order is used to arrange the numbers. The middle number in the ordered set of numbers is referred to as the data set's median.

The dot plot for Daniel is shown -

Convert the dot plot to frequency table -

X Frequency Cf

8 1                  1

10 1                  2

12 2                 4

14 2                 6

16 3                 9  

18 2                 11

20 2                 13

22 1                  14

24 1                  15

       n = 15

The formula for Median is -

M = value of [(n + 1)/2]th observation

Substitute the values in the equation -

M = (15 + 1)/2

M = 16/2

M = 8th observation

From the column of cumulative frequency cf, it can be seen that the 8th observation is 16.

Therefore, the median of the data is 16.

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Answer:

the common factor of 54 and 66 is 6

Step-by-step explanation:

Answer:

I think it would be 6.

Step-by-step explanation:

I googled it.

Answer:

5.7

Step-by-step explanation:

a^2+b^2=c^2

Answer:

b bro and u get a good day too

Answer:

Pretty sure its C  >:]

Explanation:

    It's the third option because if you put a piece of paper in the corner its a lil more than 90 degrees, so it wouldn't be B (there's a little more white space left). And it obviously wouldn't be A because that's self explanatory, lol.

    And you can't make a perfect square in the inside of the angle so that's another way to tell.

Extra:

I hope you have an amazing day too,, you seem very nice ^-^   good luck on your schoolwork today :]

Answer: 0.5

Step-by-step explanation: it should be but  wait for other answers

The conditional relative frequency that a participant has brown hair, given that he/she has brown eyes is 0.71

We would solve this using Baye's Theorem:

Let R represent brown hair

Let B represent brown eyes

\(P = \frac{R}{B} = P\frac{(RnB)}{P(B)}\)

P(RnB)= 10

P(B)= 2 + 2 + 10 = 14

Therefore

\(P(\frac{R}{B} ) = \frac{10}{14}\)

= 0.71

Therefore, the correct answer is option D.

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After 300 trials, the experimental probabilities may not align perfectly with the theoretical probabilities. However, with more trials, the experimental probabilities tend to converge towards the theoretical probabilities for closer alignment.

To examine whether experimental probabilities after 300 trials align closely with theoretical probabilities, let's consider an example of flipping a fair coin.

Theoretical probability: When flipping a fair coin, the theoretical probability of obtaining heads or tails is 0.5 each. This assumes that the coin is unbiased and has an equal chance of landing on either side.

Experimental probability: After conducting 300 trials of flipping the coin, we record the outcomes and calculate the experimental probabilities. Let's assume that heads occurred 160 times and tails occurred 140 times.

Experimental probability of heads: 160/300 = 0.5333

Experimental probability of tails: 140/300 = 0.4667

Comparing the experimental probabilities to the theoretical probabilities, we can observe that the experimental probability of heads is slightly higher than the theoretical probability, while the experimental probability of tails is slightly lower.

In this particular example, the experimental probabilities after 300 trials do not align perfectly with the theoretical probabilities. However, it is important to note that these differences can be attributed to sampling variability, as the experimental outcomes are subject to random fluctuations.

To draw a more definitive conclusion about the alignment between experimental and theoretical probabilities, a larger number of trials would need to be conducted. As the number of trials increases, the experimental probabilities tend to converge towards the theoretical probabilities, providing a closer alignment between the two.

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The question probable may be:

Do experimental probabilities after 300 trials tend to align closely with theoretical probabilities? Consider an example scenario and calculate both the theoretical and experimental probabilities to determine if they are close.

Answer:

2 acute angles

Step-by-step explanation:

A right triangle HAS to have a right angle, which is 90 degrees. This means the other two angles must add up to:

180-90 = 90 degrees

Acute angles are LESS than 90 degrees. You cannot add two positive integers over 90 to get 90 (obtuse angles), and you can also not have two 90 degree angles since that forms a straight line, therefore meaning the other two angles must be acute.

Answer:

2

Step-by-step explanation:a normal right triangle has 3 angles in total and looking at the bend in each corner only two of them are acute so that makes it 2

Answer:

Step-by-step explanation:

Product means multiply.

-300

The number it is pointing to is 1

Answer:

where is the graph if you can put it i will give you the answer

Step-by-step explanation:

Answer:

Step-by-step explanation:

Required expression:

Options: