FAST!!! HELP PLSSS
Explain how you got the answer too!!

Answer:

1.48

2.138

3.9

4.99

Step-by-step explanation:

I hoped I helped

The missing sides and angles of the triangles are:

1) ∠L = 53°

LA = 23.145 ft

AB = 18.9 ft

2) ∠S = 57.31°

SA = 98.57 cm

SW = 69.12 cm

3) B = 30.71°

C = 99.29°

The law of cosine formula is expressed as:

c² = a² + b² - 2ab cos C

The Law of sines is expressed as:

a/sin A = b/sin B = c/sin C

Thus:

1) ∠L = 180 - (102 + 25)

∠L = 53°

LA/sin 102 = 10/sin 25

LA = 23.145 ft

AB = 10 * sin 53/sin 25

AB = 18.9 ft

2) ∠S = 180 - (79 + 43.69)

∠S = 57.31°

84.5/sin 57.3 = SA/sin 79

SA = 98.57 cm

SW/sin 43.69 = 84.5/sin 57.3

SW = 69.12 cm

3) 15/sin 50 = 10/sin B

sin B = (10 sin 50)/15

sin B = 0.5107

B = sin⁻¹0.5107

B = 30.71°

C = 180 - (50 + 30.71)

C = 99.29°

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The decimal fοrm οf the mixed fractiοn 33 2/3, apprοximated tο the nearest tenth, is 33.67.

A mixed fractiοn is οne that is represented by bοth its quοtient and remainder. Sο, a mixed fractiοn is a cοmbinatiοn οf a whοle number and a prοper fractiοn. A fractiοn represents a piece οf a larger tοtal. Tο learn hοw tο determine the precise values οf mixed numbers, it is crucial tο cοnvert a mixed number tο a decimal. A mixed number can be cοnverted tο decimal fοrm using οne οf twο techniques:

the mixed number is changed intο an imprοper fractiοn.

by first changing the given mixed number's fractiοnal pοrtiοn tο decimal, then adding the whοle number pοrtiοn tο it.

Nοw the given fractiοn is 33 2/3.

This is a mixed fractiοn because it has a whοle number οf 33 and a fractiοn οf 2/3.

This mixed fractiοn can be cοnverted tο a decimal number by finding the value οf the fractiοn part οf the number and adding it tο the whοle number.

Sοlving fractiοnal parts,

2/3 = 0.66666 = 0.67 (Rοunding tο the nearest tenth)

Nοw add tο the whοle number.

33 + 0.67 = 33.67

Therefοre the decimal fοrm οf the mixed fractiοn 33 2/3 is 33.67.

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The segment AB is a radius and the notation is ↔ AB

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

The circle

On the circle, we can see that

The segment AB goes from the center of the circle to a point on the circle

A line that goes from the center of the circle to a point on the circle is the radius of the circle

This means that the segment AB is a radius and the notation is ↔ AB

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Answer:

10!

Step-by-step explanation:

Basically you can see that one side of the "triangle" is 3, and the other is 9 (based on the distance, assuming that the line would be a hypotenuse). From here all you have to do is square 3 and square 9, add them, and find the square root

√(9+81) = 10

Therefore ,there are 158,184,000 ways to create a license plate in this system.

A selection from a group of separate items is called a combination in mathematics, and the order in which the elements are chosen is irrelevant (unlike permutations). An apple and a pear, an apple and an orange, or a pear and an orange are three combinations of two fruits that can be chosen from a set of three fruits, such as an apple, an orange, and a pear. Formally speaking, a set S's k-combination is a subset of S's k unique components. Two combinations are therefore equal if and only if they have the same elements in both combinations.

According to the counting principle, the total number of ways to obtain a license plate is calculated by multiplying the number of times each of these events might occur together.

The first number (the digits 1 through 9) can be obtained in nine different ways.

There are 26 methods to obtain the first letter. There are 26 ways to obtain the following letter (repetition is acceptable).

There are 26 methods to get the third letter, 10 ways to get the next number (zero is acceptable), and 10 ways to get the following number with repetitions.

How many ways are there to get the next number? 10 ways\s.

Thus ,total options for obtaining a license plate:

9 x 26 x 26 x 26 x 10 x 10=158184000

Therefore ,there are 158,184,000 ways to create a license plate in this system.

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Answer:

\(3\)

Step-by-step explanation:

\(\mathrm{The\ slope\ of\ a\ line\ passing\ through\ the\ points\ (x_1,y_1)\ and\ (y_2,y_1)\ is\ given\ by:}\\\mathrm{Slope(m)=\frac{y_2-y_1}{x_2-x_1}}\\\\\mathrm{According\ to\ the\ question,}\\\mathrm{(x_1,y_1)=(0,-2)}\\\mathrm{(x_2,y_2)=(-2,-8)}\)

\(\mathrm{Therefore\ the\ slope=\frac{-8-(-2)}{-2-0}=\frac{-8+2}{-2}=3}\)

In mathematics, two straight lines can mean a number of things depending on the context. In general, a straight line is a geometric object that has no curvature and extends infinitely in both directions.

When two straight lines are considered together, they can either be parallel, meaning they will never intersect, or they can be intersecting, meaning they will cross at exactly one point. If the two lines are parallel, they will have the same slope, and if they are intersecting, the lines will have different slopes.

The slope-intercept equations for the two straight lines in analytical geometry are written as y = mx + b, where m is the slope, x and y are the coordinates of a point on the line, and b is the y-intercept.

In conclusion, two straight lines can have different meanings in mathematics depending on the context, such as parallel or intersecting, which can be represented by their equations in slope-intercept form.

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Answer:

  A.  4

  B.  1

Step-by-step explanation:

The degree of a one-variable polynomial is the largest exponent of the variable.

__

For f(x) = x^4 -3x^2 +2 and g(x) = 2x^4 -6x^2 +2x -1, the sum f(x) +a·g(x) will be ...

  (x^4 -3x^2 +2) +a(2x^4 -6x^2 +2x -1)

  = (1 +2a)x^4 +(-3-6a)x^2 +2ax -a

The term with the largest exponent is (1 +2a)x^4, which has degree 4. This term will be non-zero for a ≠ -1/2.

The largest possible degree of f+ag is 4.

__

The polynomial sum is ...

  f+bg = (1 +2b)x^4 +(-3-6b)x^2 +2bx -b

When b = -1/2, the first two terms disappear and the sum becomes ...

  f+bg = -x +1/2 . . . . . . a polynomial of degree 1

The smallest possible degree of f+bg is 1.

A graph is a way to represent a lot of data in such a visual format that it is easy for the user to understand the complete information in one go. The correct option is D.

A graph is a way to represent a lot of data in such a visual format that it is easy for the user to understand the complete information in one go. Usually, the line of the graph is a function that follows the graph.

For the given graph of the function f(x) = –x² – 4x + 5, the domain of the function is all the real numbers, while the range of the function is all real numbers less than or equal to 9.

Hence, the correct option is D.

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Answer:

  D. 8-cm square

Step-by-step explanation:

The smaller square shown on the figure has an area of 15×15 = 225. The sum of the two smaller square areas must equal the larger square area, so the smallest square must have an area of ...

  289 -225 = 64

Its side dimensions will be √64 = 8 cm.

The diagram is correctly completed by the 8 cm square.

Answer:

140°

Step-by-step explanation:

The exterior angle is equal to the sum of the 2 remote interior angles. (The 2 angles farthest from the angle on the outside of the triangle)

20 + 120 = 140

Answer:

y= 140

Step-by-step explanation:

first you find x by using the sum of angles in a triangle(180-120-20). so x is 40.and then you do 180-40 ( adjustment angles on a straight line. let me know if it makes sense.

Answer:

120

Step-by-step explanation:

The probability of a girl being picked one day = 10/15 = 2/3

Total number of days = 180

Therefore, the nunber of times it will be a girl = 2/3 x 180 = 2 x 60 = 120

Hope this helps

If there is a positive correlation between x and y then in the regression equation, y = bx + a, the slope coefficient, b, is positive. When there is a positive correlation between x and y, it indicates that an increase in the value of x corresponds to an increase in the value of y.

Thus, the regression line has a positive slope. The slope coefficient of the regression line, b, is a measure of the change in y associated with a one-unit change in x.

When the correlation is positive, the slope coefficient, b, will be positive in the regression equation, y = bx + a. Therefore, y will increase as x increases.Besides, the intercept, a, in the regression equation represents the expected value of y when x = 0. It is also known as the y-intercept of the regression line.

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Answer:

HL

Step-by-step explanation:

The hypotenuses and the long legs of the right triangles are congruent, therefore using the rule HL, the triangles are congruent.

The charity needs to consider a range of prices that will guarantee it a monthly profit of at least $3000. To determine the range of prices that can generate such profit, we need to make use of the total cost function and the revenue function.

These functions can help us identify the price range that will provide a profit margin of $3000 or more.Let’s consider the total cost function first:Total Cost (TC) = Fixed Cost (FC) + Variable Cost (VC)In this problem, the fixed cost is given as $8000. Variable cost is calculated as VC = $20x (where x is the number of units of books sold).So, TC = $8000 + $20xFor the revenue function, the price per book is given as $30. We also know that the number of books sold is equal to the number of books printed and that the book printer requires a minimum order of 1000 books before they can start printing.

Therefore, the revenue function is given as R = $30x, where x is the number of units of books sold.Using these two functions, we can now calculate the profit function:Profit = Revenue - Total CostP = R - TCP = $30x - ($8000 + $20x)P = $10x - $8000We want to determine the range of prices that will generate a monthly profit of at least $3000. Therefore, we can set up an inequality and solve for x as follows:$10x - $8000 ≥ $3000$10x ≥ $11000x ≥ 1100Hence, x should be greater than or equal to 1100 to generate a profit of $3000 or more. Since the book printer requires a minimum order of 1000 books, the charity should set its price such that it will sell more than 1000 books to achieve the profit target.

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The problem involves finding the expected value and variance for the Student t and chi-squared distributions, as well as finding probabilities for certain values of the distributions.

Additionally, the problem requires finding the value of an F distribution with specific degrees of freedom. The expected value for the Student t distribution with v degrees of freedom is 0, and the variance is v/(v-2) when v>2. For the given case with v=21, E(t)=0 and V(t)=21/19=1.1053. The probability of t being greater than 0.859 with 21 degrees of freedom and a significance level of 0.01 is given by t0.01,21 = P(t > 0.859) = 0.1989. The expected value for the chi-squared distribution with v degrees of freedom is v, and the variance is 2v. For the given case with v=9, E(χ2)=9 and V(χ2)=18. The probability of χ2 being greater than 8.343 with 9 degrees of freedom and a significance level of 0.10 is given by χ20.10,9 = 3.325 and P(χ2 > 8.343) = 0.117. The expected value for the F distribution with v1 numerator degrees of freedom and v2 denominator degrees of freedom is v2/(v2-2) when v2>2, and the variance is (2v2^2(v1+v2-2))/((v1(v2-2))^2(v2-4)) when v2>4. For the given case with v1=21 and v2=25, E(F)=1.25 and V(F)=1.9024. The probability of F being less than 0.01 with 21 numerator degrees of freedom and 25 denominator degrees of freedom is F0.01,21,25 = 0.469. To find the value of F0.99,25,21 without using the Distributions tool, we can use the fact that F is the ratio of two independent chi-squared distributions divided by their degrees of freedom, and we can use the inverse chi-squared distribution to find the value. Therefore, F0.99,25,21 = (1/χ2(0.01,21))/(1/χ2(0.99,25)) = 1.5014/0.6793 = 2.211, which is not one of the answer choices provided.

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In parallelogram JKLM, m∠L exceeds m∠M by 30 degrees. The sum of all interior angles of a parallelogram equals to 360°.As the opposite angles in a parallelogram are equal, the measure of angle L and M are equal, which can be represented as x degrees each.The sum of angles L and M can be written as 2x degrees.

It can also be expressed as follows; m∠L + m∠M = 2x degreesIt is also given in the question that m∠L exceeds m∠M by 30 degrees. Therefore,m∠L = m∠M + 30 degreesSubstitute m∠M + 30 degrees in place of m∠L in the equation above to obtain: 2x = m∠M + (m∠M + 30°)2x = 2m∠M + 30°2m∠M = 2x - 30°m∠M = x - 15°Now that we know the measure of angle M, we can find the measure of angle K as follows;m∠K = 180° - m∠Mm∠K = 180° - (x - 15°)m∠K = 195°We can also find the measure of angle J as follows;m∠J = 180° - m∠Lm∠J = 180° - (m∠M + 30°)

we can say:m∠K + m∠M + 30° = 180°m∠K + m∠M = 150°Substitute 195° in place of m∠K in the equation above to get:195° + m∠M = 150°m∠M = 150° - 195°m∠M = -45°We can see that x is less than 15°, but an angle can't be negative. Therefore, this is impossible and there is no solution to this problem.ANSWER: There is no solution to this problem.

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A.  To ensure that the probability is at least 0.95 that the relative frequency estimate differs from 0.20 by less than 0.02, at least 7976 voters should be polled.

b. We find the z-score corresponding to a cumulative probability of 0.95 to be approximately 1.96.

n > 2401

a) Using the Chebyshev inequality, we can determine the minimum number of voters that should be polled to ensure that the probability is at least 0.95 that the relative frequency estimate differs from 0.20 by less than 0.02.

The Chebyshev inequality states that for any random variable X with mean μ and standard deviation σ, the probability of X deviating from the mean by k standard deviations is at least 1 - 1/k^2.

In this case, we want the relative frequency estimate to deviate from 0.20 by less than 0.02, which means we want the difference to be within 0.02 standard deviations of the mean. Since the relative frequency estimate is a sample proportion, its standard deviation can be approximated by sqrt(p(1-p)/n), where p is the true proportion (0.20) and n is the sample size.

We can set up the inequality as follows:

1 - 1/k^2 ≥ 0.95

Solving for k:

1/k^2 ≤ 0.05

k^2 ≥ 1/0.05

k^2 ≥ 20

Taking the square root of both sides:

k ≥ sqrt(20)

k ≥ 4.47

To ensure that the difference between the relative frequency estimate and 0.20 is within 0.02, we need k standard deviations to be less than 0.02. So, we have:

k * sqrt(p(1-p)/n) < 0.02

4.47 * sqrt(0.20(1-0.20)/n) < 0.02

Simplifying:

sqrt(0.20(1-0.20)/n) < 0.02/4.47

sqrt(0.16/n) < 0.00448

0.4/sqrt(n) < 0.00448

sqrt(n) > 0.4/0.00448

sqrt(n) > 89.29

n > 89.29^2

n > 7975.84

Therefore, to ensure that the probability is at least 0.95 that the relative frequency estimate differs from 0.20 by less than 0.02, at least 7976 voters should be polled.

b) Using the central limit theorem, we can determine the minimum number of voters that should be polled to ensure that the probability is at least 0.95 that the sample mean differs from 0.20 by less than 0.02.

According to the central limit theorem, the sample mean follows a normal distribution with mean μ and standard deviation σ/sqrt(n), where σ is the population standard deviation (unknown in this case), and n is the sample size.

To ensure that the difference between the sample mean and 0.20 is within 0.02, we can set up the following inequality:

z * (σ/sqrt(n)) < 0.02

Since the population standard deviation σ is unknown, we can use a conservative estimate by assuming the worst-case scenario, which is p(1-p) = 0.25. Therefore, σ = sqrt(0.25) = 0.5.

Using the standard normal distribution table, we find the z-score corresponding to a cumulative probability of 0.95 to be approximately 1.96.

1.96 * (0.5/sqrt(n)) < 0.02

0.98/sqrt(n) < 0.02

sqrt(n) > 0.98/0.02

sqrt(n) > 49

n > 49^2

n > 2401

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Answer:

50.3

Step-by-step explanation:

75*0.33=24.75

75-24.75=50.25

50.25=50.3

If a researcher conducted a 2-tailed, non-directional test with an alpha level of .04, then the corresponding critical value Z-score(s) for a 2-tailed, non-directional test with an alpha level of 0.04 would be -2.06 and 2.06, respectively.

Explanation:

To find the critical value z-scores for a 2-tailed, non-directional test with an alpha level of 0.04, you can follow these steps:

Step 1. Divide the alpha level by 2, since it's a 2-tailed test: 0.04 / 2 = 0.02.

Next, we can use a standard normal distribution table or a Z-score calculator to find the Z-score(s) that correspond to an area of 0.02 in the tail(s) of the standard normal distribution.

For a 2-tailed test, we need to find two critical values, one for each tail. Since the standard normal distribution is symmetric, the critical values will be the same in magnitude but opposite in sign. So, we need to find the Z-score that corresponds to an area of 0.02 in the lower tail and the Z-score that corresponds to an area of 0.02 in the upper tail.

Step 2. Use a z-score table or online calculator to find the z-score corresponding to an area of 0.98 (1 - 0.02) in the standard normal distribution.

Therefore, the corresponding critical value Z-score(s) for a 2-tailed, non-directional test with an alpha level of 0.04 would be -2.06 and 2.06, respectively.

The correct answer is:
a. +2.06 and -2.06

These z-scores represent the critical values, with 2% of the area in each tail of the distribution.

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Answer:

The circumference of Bob's new wheel is 81.7 inches

Step-by-step explanation:

Circumference of a circle

The circumference of a circle of radius r is given by:

\(C=2\pi r\)

The radius is half the diameter:

r = d / 2 = 26 / 2 = 13

r = 13 inch

Now calculate the circumference:

\(C=2\cdot\pi\cdot 13\)

Calculating:

\(C=81.7\ inch\)

The circumference of Bob's new wheel is 81.7 inches

Answer: a) 190cm³

              b) 76cm³

(refer to the image to see all the steps and workings I did related to these diagrams)

The answer is 84 percent. I hope this helps

Can you please mark me brainiest if I am correct? Thank you and have a nice day!

Answer:

48

Step-by-step explanation:

you first have to take the 3 and 5 and multiply them by 6 individually which will give you 18 and 30 respectively, which so happens to be 12 less than the other, then you add them together and you have your answer

Answer:

The answer is b = √(c² - a²).

Step-by-step explanation:

For right angle triangle, you can apply Pythagoras Theorem where c² = a² + b² .

Answer:

Step-by-Step Explanation:

In the given right-angled triangle, the largest angle is 90°. And side c is opposite to it, hence c is the hypotenuse.

Then, a and b are the leg sides of the triangle i.e. base and perpendicular. Then, By using Pythagoras theoram:

\( \longrightarrow{{a}^{2} + {b}^{2} = {c}^{2}} \)

Now shifting a² by subtracting from both sides,

\( \longrightarrow{{b}^{2} = {c}^{2} - {a}^{2}} \)

We need b, square rooting both sides

\(\longrightarrow{b = \sqrt{ {c}^{2} - {a}^{2} }} \)

That is Option B. And we are done! :D

Answer:

2044

Step-by-step explanation:

90,360,000 is each year, and if you multiply that by 10, it is 903,600,000. Do it again to get 1,807,200,000. That would equal the year of 2037, but it isnt enough. Then add 722880000, which would be 2044 and the total would be 7.53 billion + 1807200000 + 722880000 which equals to 10,060,800,000

The amount of data compression an algorithm can produce is reliant upon:

Opiton B) Several patterns in the data.

Data compression is the process of reducing the size of a file by encoding its data information more efficiently. The more patterns in the data, the more efficiently it can be compressed.

An algorithm is a set of instructions that are used to complete a task, such as compressing data. If there are several patterns in the data, the algorithm can use these patterns to create a smaller, more efficient representation of the file, resulting in greater data compression.  This means that if there are repeating parts of the file being compressed, the algorithm can make use of that to reduce the size of the file.

However, the size of the file (whether it's large or small) does not necessarily affect the amount of data compression.

Therefore, the amount of data compression an algorithm can produce is reliant upon the presence of several patterns in the data.

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Let $n_3$ be the number of Sylow 3-subgroups and $n_5$ be the number of Sylow 5-subgroups in the group $G$.

Since the Sylow 3-subgroup is normal, we have $n_3=1$ or $n_3=10$. Also, $n_5$ must be either $1$ or $6$ or $10$ or $60$ (using the Sylow theorems).

Assume for a contradiction that $n_5 \neq 1$. Then $n_5$ must be either $6$ or $10$ or $60$. We will show that each of these cases leads to a contradiction.

Case 1: $n_5=6$

Let $P_5$ be a Sylow 5-subgroup. Then $|P_5|=5$ and $|G:P_5|=12$. By the same argument as in the previous solution, we get a group homomorphism $\varphi : G \to S_{12}$ whose kernel is contained in $P_5$. Since $n_3=1$, the group $G$ has a normal Sylow 3-subgroup.

By the same argument as in the previous solution, we get that the image of $\varphi$ is contained in $A_{12}$. But $A_{12}$ has no element of order $5$, which contradicts the fact that $P_5$ acts on $G/P_5$ with $5$ fixed points.

Case 2: $n_5=10$

Let $P_5$ be a Sylow 5-subgroup. Then $|P_5|=5$ and $|G:P_5|=6$. By the same argument as in the previous solution, we get a group homomorphism $\varphi : G \to S_6$ whose kernel is contained in $P_5$. Since $n_3=1$, the group $G$ has a normal Sylow 3-subgroup.

By the same argument as in the previous solution, we get that the image of $\varphi$ is contained in $A_6$. But $A_6$ has no subgroup of order $5$, which contradicts the fact that $P_5$ is nontrivial.

Case 3: $n_5=60$

Let $P_5$ be a Sylow 5-subgroup. Then $|P_5|=5$ and $|G:P_5|=1$. This implies that $P_5$ is a normal subgroup of $G$, which completes the proof.

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