Answer number 3 please thank you

Answer:

$3705.60

Step-by-step explanation:

1969/85=23.16

23.16x160=3705.6

Answer:

0.583

Step-by-step explanation:

Use a caluclator

Answer:

1/2

Step-by-step explanation:

Assume the coin is a fair coin.

Since we already know that the first 9 tosses were heads, the probability of 9 straight heads in the first 9 tosses is 1.

It all depends on the last toss. There is an equal probability of heads and tails in a single toss of a fair coin.

p(heads) = 1/2

p(10 heads) = 1/2

Ok so the answer is 1/2

Answer:

A and D

Step-by-step explanation:

To find the x intercepts, substitute 0 into y.

2x = 6

(3,0)

To find the y intercept, substitute 0 into x;

3y = 6

(0, 2)

So a and d

Answer:

Step-by-step explanation:

picture will show you all the explaination

For the 6th point, the answer is PR because this is the formula from the Pitagoras theorem, PT and RT are the hicks, so PR is the hypotenuse.

For the 7th point, the answer is QR because this is the formula from the Pitagoras theorem, QT and RT are the hicks, so QR is the hypotenuse.

Answer:

exterior angles:

144°and 36°

126° and 54°

90° and 90°

Step-by-step explanation:

we know that each angle in a triangle adds up to 180°.

so,

2x+3x+5x=180

10x=180

x=180/10

x=18

the interior angles are:

2x=36°

3x=54°

5x=90°

and explanation is provided to find the exterior angles above.(sorry for the bad handwriting)

Answer: We can solve this problem using the standard normal distribution and standardizing the variable X.

Let Z be a standard normal variable, which is obtained by standardizing X as:

Z = (X - μ) / σ

where μ is the mean of X and σ is the standard deviation of X.

In this case, X is normal with mean μ = 3.6 and variance σ^2 = 0.01, so its standard deviation is σ = 0.1.

Then, we have:

Z = (X - 3.6) / 0.1

To find C such that P(X <= c) = 5%, we need to find the value of Z for which the cumulative distribution function (CDF) of the standard normal distribution equals 0.05. Using a standard normal table or calculator, we find that:

P(Z <= -1.645) = 0.05

Therefore:

(X - 3.6) / 0.1 = -1.645

X = -0.1645 * 0.1 + 3.6 = 3.58355

So C is approximately 3.5836.

To find C such that P(X > c) = 10%, we need to find the value of Z for which the CDF of the standard normal distribution equals 0.9. Using the same table or calculator, we find that:

P(Z > 1.28) = 0.1

Therefore:

(X - 3.6) / 0.1 = 1.28

X = 1.28 * 0.1 + 3.6 = 3.728

So C is approximately 3.728.

To find C such that P(-c < X < c) = 95%, we need to find the values of Z for which the CDF of the standard normal distribution equals 0.025 and 0.975, respectively. Using the same table or calculator, we find that:

P(Z < -1.96) = 0.025 and P(Z < 1.96) = 0.975

Therefore:

(X - 3.6) / 0.1 = -1.96 and (X - 3.6) / 0.1 = 1.96

Solving for X in each equation, we get:

X = -0.196 * 0.1 + 3.6 = 3.5804 and X = 1.96 * 0.1 + 3.6 = 3.836

So the interval (-c, c) is approximately (-0.216, 3.836).

Answer:

This is not possible, since probabilities cannot be negative. Therefore, there is no value of e that satisfies the given condition

Step-by-step explanation:

We can use the standard normal distribution to solve this problem by standardizing X to Z as follows:

Z = (X - μ) / σ = (X - 3.6) / 0.1

Then, we can use the standard normal distribution table or calculator to find the values of Z that correspond to the given probabilities.

P(X <= c) = P(Z <= (c - 3.6) / 0.1) = 0.05

Using a standard normal distribution table or calculator, we can find that the Z-score corresponding to the 5th percentile is -1.645. Therefore, we have:

(c - 3.6) / 0.1 = -1.645

Solving for c, we get:

c = 3.6 - 1.645 * 0.1 = 3.4355

So, the value of c such that P(X <= c) = 5% is approximately 3.4355.

Similarly, we can find the value of d such that P(X > d) = 10%. This is equivalent to finding the value of c such that P(X <= c) = 90%. Using the same approach as above, we have:

(d - 3.6) / 0.1 = 1.28 (the Z-score corresponding to the 90th percentile)

Solving for d, we get:

d = 3.6 + 1.28 * 0.1 = 3.728

So, the value of d such that P(X > d) = 10% is approximately 3.728.

Finally, we can find the value of e such that P(-e < X < e) = 90%. This is equivalent to finding the values of c and d such that P(X <= c) - P(X <= d) = 0.9. Using the values we found above, we have:

P(X <= c) - P(X <= d) = 0.05 - 0.1 = -0.05

This is not possible, since probabilities cannot be negative. Therefore, there is no value of e that satisfies the given condition

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Answer:

JL, JK, LK

Step-by-step explanation:

The side of a triangle from shortest to longest.  

The shortest side is opposite the smallest angle.

  The smallest angle is 50°, so the side opposite that angle is JL

The longest side is opposite the largest angle.

   The largest angle is 66°, so the side opposite that angle is LK

The other angle is between the smallest and largest angle is 64° and the side opposite that angle is JK

The correct null hypothesis in the given situation is:

(A) H0: p = 0.27; Ha: p > 0.27

Any variation between the selected attributes that you observe in a collection of data is thought to be the result of chance, according to the null hypothesis.

For instance, any discrepancy between the average profits in the data and zero is caused by chance if the expected earnings for the gambling game are actually equal to zero.

So, the population proportion serves as the parameter.

The American Academy of Periodontology found that 27% of US individuals admit to lying to their dentist about how frequently they floss their teeth.

So, the following is the null hypothesis:

H0: p = 0.27

Dr. Garcia, a periodontist, thinks that the percentage should be higher than 27% since he feels it is too low.

Consequently, the competing theory is:

H0: p > 0.27

Therefore, the correct null hypothesis in the given situation is:

(A) H0: p = 0.27; Ha: p > 0.27

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Complete question:

The American Academy of Periodontology released a survey, revealing that 27% of US adults admit they lie to their dentist about how often they floss their teeth. Periodontist Dr. Garcia believes that the percentage seems low, so he decides to conduct his own hypothesis test to determine the true proportion. What should he write as the null and alternative hypotheses for this situation?

Answer Options:

A: H0: p = 0.27; Ha: p > 0.27

B: H0: p = 0.27; Ha: p < 0.27

C: H0: p = 0.27; Ha: p ≠ 0.27

D: H0: μ = 0.27; Ha: μ > 0.27

E: H0: μ = 0.27; Ha: μ < 0.27

The approximate solution of this system of equations is

(x,y)=(-0.25,1.25)

Equation is defined as the state of being equal and is often shown as a math expression with equal values on either side, or refers to a problem where many things need to be taken into account.

Given that,

y = |x − 1| and y = 3x+2

 y = |x − 1|

    = (x-1) ,    for  (x-1)>0 or x>1

and

y = -(x-1)  ,    for(x-1)<0  or x<1

y  = -x+1      

Now,   For x>1

y = x-1    ......(1)

y = 3x+2   ......(2)

Solving for x by equaliting's method:

 3x+2 = x-1

→ 3x-x = -1-2

→ 2x = -3

→ x = -3/2

→ x = -1.5 which is <1.

For x<1

y = -x+1    ......(1)

y = 3x+2   ......(2)

Solving for x by equaliting's method:

 3x+2 = -x+1

→ 3x+x = 1-2

→ 4x = -1

→ x = -1/4

→ x= -0.25 which is <1.

substitute the value of x = -0.25 in equation 1 for x<1.

y = -x+1

  = -(-0.25)+1

y  = 1.25

Hence, The approximate solution of this system of equations is

(x,y)=(-1/4,5/4)=(-0.25,1.25).

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Answer: 14,358 cubic feet

Step-by-step explanation:

Volume of hemisphere = 0.5 x volume of sphere

Volume of hemisphere = 0.5 x 4/3 pi r^3

Volume of hemisphere = 0.5 x 4/3 pi 19^3

Volume of hemisphere = 0.5 x 4/3 pi 6859

Volume of hemisphere ≅ 14,358 cubic feet

Answer: 1. 3(17-y)

Step-by-step explanation: multiply 3 to 17 and y, which you get (51) and (3). Subtract it to get 48, which is equivalent to 60 - 3y - 9 = 48

if it's wrong, i'm sorry

hope this helps!!

0.020 is a probability for student selects at least 6 .

What is a probability simple definition?

There are two ways to do it. You can either interpret this as

One minus the probability that the student will guess 5 or fewer

correct answers with a probability of a correct answer being = 1/4  ⇒      

0.0197277069

The probability that the student will guess 4 or fewer wrong answers

with a probability of a wrong answer being = 3/4

  binomcdf (10,3/4,4)

     = 0.0197277069

Either way it rounds to 0.020

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For Trigonometric functions to work we need a hypotenuse, which we can only get in right triangles.

What are Trigonometric functions?

The trigonometric functions in mathematics are real functions that connect the right-angled triangle's angle to the ratios of its two side lengths. They are extensively employed in all fields of geometry-related study, including geodesy, solid mechanics, celestial mechanics, and many others.

Here,

We have to find out why trigonometric ratios are used only for right triangles.

We concluded that when we are dealing with triangles other than right triangles, the solution is to draw a perpendicular line to create right triangles. For Trigonometric functions to work we need a hypotenuse, which we can only get in right triangles.

Hence, for Trigonometric functions to work we need a hypotenuse, which we can only get in right triangles.

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The equation and the slope of the line that passes through (6, –4) and is parallel to the x-axis are; Slope = 0 and equation: y = -4

The general form of the equation of a line in slope intercept form is;

y = mx + c

where;

m is slope

c is y-intercept

Now, when a line is parallel to the x-axis, it means that the slope will be zero as there will be no intersection point with the x-axis. Thus, from y = mx + c, we can say that;

y = 0(x) + c

y = c

Now, from the given point, we can tell that the y-intercept will be constant and as such we have;

y = -4

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An equation and the slope of the line that passes through (6, –4) and is parallel to the x-axis:

C. Equation: y = –4

D. Slope: 0

In Mathematics, the y-intercept is also referred to as an initial value and the y-intercept of any graph such as a linear function, generally occur at the point where the value of "x" is equal to zero (x = 0).

Since the given line is parallel to the x-axis (x-coordinate), the value on the y-coordinate would remain constant and forms a horizontal line.

In this context, we can reasonably infer and logically deduce that the slope of this line would be equal to zero (0).

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It would not be ethical for EPG to offer to undertake the engineering work for the pollution abatement project, given Engineer E's role as a member of the city council and chair of its finance committee.

The situation described raises concerns about potential conflicts of interest and ethical considerations. As an engineer and member of the city council, Engineer E holds a position of influence over the allocation of funds for city projects. Additionally, Engineer E is a principal in a consulting engineering firm, EPG, which has submitted a proposal to provide engineering services for the pollution abatement project.

From an ethical standpoint, it would be considered a conflict of interest for Engineer EPG to offer to undertake this engineering work. This is because Engineer E's dual roles as a council member and a principal in the consulting engineering firm create a situation where personal and professional interests may become intertwined. The decision-making process regarding the allocation of funds for the pollution abatement project should be fair, transparent, and based on the best interests of the city and its residents.

To maintain ethical standards, Engineer EPG should recuse themselves from any decision-making processes or discussions related to the project and should not personally benefit from the consulting engineering services provided by their firm. This ensures that the decision-making process remains impartial and free from any conflicts of interest.

In conclusion, it would not be ethical for EPG to offer to undertake the engineering work for the pollution abatement project, given Engineer E's role as a member of the city council and chair of its finance committee.

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Answer:

its 8.97 I think

Step-by-step explanation:

6.9×8.97

Answer:

\(\frac{6}{27}\)

Answer:

ian just wasted the last bit of coffee.

Step-by-step explanation:

Simplified form of fourth root of 2401x¹²y¹⁶  is  7x³y⁴

Equation is the defined as mathematical statements that have a minimum of two terms containing variables or numbers is equal.

Given,

⁴√2401 x¹² y¹⁶=⁴√7*7*7*7 (x³)⁴(y⁴)⁴

                       =⁴√(7)⁴ (x³)⁴(y⁴)⁴

                       =⁴√(7 x³y⁴)⁴

                       =  7 x³y⁴

Therefore, Simplified form  fourth root of 2401x¹²y¹⁶  is  7x³y⁴.

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Answer:

\(3/4\)

Step-by-step explanation:

We are asked to find the difference which means we will be using subtraction.

We are given two numbers to use \(4\frac{1}{12}\) (Houston to Dallas) & \(3\frac{1}{3}\) (San Antonio to Houston).

To be able to subtract, we need to have the same denominator on both fractions, which we can do by multiplying 1/3 by 4

\(\frac{1}{3} * 4=\frac{4}{12}\)

now we can subtract the numbers and simplify!

\(4\frac{1}{12} -3\frac{4}{12} =\frac{9}{12} =\frac{3}{4}\)

A matrix consisting entirely of zeros is called a zero matrix, or an all-zero matrix.

It is denoted with the symbol O and can be written in a matrix form, such as O = [0 0 0 0] where the number of columns and rows depends on the size of the matrix. A zero matrix is a matrix which has all its elements equal to zero. It has a number of special properties that make it useful in linear algebra. For instance, the sum of any two zero matrices is a zero matrix, and any scalar multiple of a zero matrix is a zero matrix. Additionally, the product of two zero matrices is a zero matrix, and the product of a zero matrix and an identity matrix is a zero matrix. These properties make it useful in solving systems of linear equations where all the coefficients are zero. Finally, the inverse of a zero matrix does not exist since its determinant is zero.

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Answer:

D. right

Step-by-step explanation:

f(x) = 4*2^x

g(x) = 4*2^(x-3)

g(x) = f(x - 3), so g(x) is shifted 3 units right.

Answer:

Step-by-step explanation:

Sum of interior adjacent angle is 180 degrees.

Given  

m∠BNR=12w-19,

m∠RNA= ¼(w+199)

m∠BNA=2(12w-19).

Substitute

m∠BNR+m∠RNA=

¼(w+199)+12w-19, = 2(12w-19).

W+796+48W-76 = 96W-152

49W-96W = -152+76-796

-47W = 872

W = 872/47

W = 18.55

The property best describes the Function f IP 4- to- 1 Correspondance.

f is Nat Bijective since Not one-one.

x1= 010101 = 010111

then 2 and 7 2 maps to 0101

So f is mat one-one.

fip Mat 2 - to- 1 correspondance

Since

2 , = 0101 vo , 212 = 0101 01 , 23 = 010 / 1 1

One point 0101

go,

f is Not 2 - to- 1 correspondance.

7 12) is the storing a with the last two

bits mold so we have only $ possibility

of 4 strings going to a single storing.

f can not be 16 - to - 1 correspondance.

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Answer:

The answer is -285

Step-by-step explanation:

When x and y are in direct proportion, the value of y when the value of x is 11 is 77.

What is meant by direct proportion?

The relationship between two values where their ratio equals a constant number is known as a direct proportion or direct variation. Sometimes, we notice that changes in one quantity's value are similar to changes in another quantity's value, meaning that when one quantity's value rises, the other quantity's value rises in the same proportion and vice versa. Two quantities are said to exist in direct proportion when such circumstances occur. According to the direct proportion formula, if y is directly proportional to x, we can state that y = kx, where k is a constant.

When x and y are in direct proportion, we can write,

x/y = c

where c is a constant.

Now it is given that y = 42 , when x = 6

then c = x/y = 6/42 = 1/7

We are asked to find the value of y when x = 11.

The c remains constant.

so 11/y = 1/7

y = 11*7 = 77

Therefore when x and y are in direct proportion, the value of y when the value of x is 11 is 77.

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The Longest Increasing Subsequence (LIS) problem is a classic problem in dynamic programming. Given a sequence of numbers, the problem is to find the longest subsequence in which the numbers are in increasing order. For example, given the sequence {3, 1, 5, 2, 4}, the longest increasing subsequence is {1, 2, 4}, which has length 3.

The LIS problem can be solved using dynamic programming by defining an array to store the length of the longest increasing subsequence that ends at each position in the sequence. The array is initialized to 1, and then for each position i in the sequence, the length of the longest increasing subsequence that ends at i is calculated by finding the maximum length of any subsequence that ends at a position j < i and has a smaller value than the value at i. The final solution is the maximum length of any subsequence in the array.

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