6(4x+5)+3=2(10x-1) solve for x

Original ratio: 3 + 8 = 11

240/11 = 21.818

3 x 21.818 = 65.5

11 x 21.818 = 174.5

New ratio: 3 + 2 = 5

240/5 = 48

3 x 48 = 144

2 x 48 = 96

Number of stamps bought = new amount - original amount:

144-65.5 = 78.5

Round to nearest whole number = 79 stamps bought

Answer:

3rd answer choice

Step-by-step explanation:

Any time you have a proportion, the two ratios have to match, so 32 and x+8 are the bases, so you need to length of the side of those bases, 20 is the length of the base for the 32, but notice how 5 is not the side for x+8, therefore, 20-5 = 15, so 15 is the side adjacent to the base x+8, and they are in the right order small side / big side = small base / big base

Answer:

33.3%

Step-by-step explanation:

If all of them are equal out of 100%

that means Roses are 33.3 daffodils are 33.3 and lilly's are 33.3

Answer: Any of the following angles are not congruent to angle 5.

The only exception being that if angle 5 is 90 degrees, then so are the remaining four angles shown above (in fact, all 8 angles are right angles).

========================================================

Explanation:

Angles 2 and 5 are supplementary since line p is parallel to line r. This means angle 2 and angle 5 add to 180 degrees. The two angles are only congruent if both are right angles (aka 90 degree angles); otherwise, they are not congruent angles.

Angle 2 = angle 4 because they are vertical angles. So because these two angles are congruent, and angle 2 does not have the same measure as angle 5, this consequently leads to angle 4 also not being the same measure as angle 5 (unless both are right angles).

Angle 2 = angle 8 because they are alternate interior angles. Following the same logic path as the last paragraph, we see that angles 8 and angle 5 aren't the same measure. Or we could note that angle 5 and angle 8 form a straight angle, so they must add to 180 degrees. The two angles are only congruent if they were 90 degrees each, or otherwise not congruent at all.

Similar logic can also show that angle 6 is not congruent to angle 5.

---------------------------

An alternative path is to find all the angles that are always congruent to angle 5 and they are...

And everything else is not congruent to angle 5.

Joe is correct as the unknown number is 6.

The exponents of a number are defined as the representation of a number that shows how many times a number is multiplied by itself.

Given :

\((x^2)^?=x^4\times x^8\)

Let the question mark exponent outside the bracket be y, which needs to be determined

\((x^2)^y=x^4\times x^8\)

Simplify the equation by applying exponent rules to either side of the equation:

Apply the rule \((a^b)^c = a^{b \times c}\)

\((x^2)^y=x^4\times x^8\)

\((x)^{2y}=x^4\times x^8\)

Now apply \(a^b \times a^c = a^{b+c}\)

\((x)^{2y}=x^{4+8}\\\\(x)^{2y}=x^{12}\)

So, the base is the same the exponent will be the same also,

2y = 12

y = 6

Hence, Joe is correct as the unknown number is 6.

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Answer:

[See Below]

Step-by-step explanation:

✦ So when we see \(x^{2}\), these are powers or exponents.

  ✧ We solve them like this:

✦ So the answers would be:

~Hope this helps Mate. If you need anything feel free to message me.

Step-by-step explanation:

F(x) = 4x^3 - 3x^2 + 5 neither

F(x) = -7x^2+1 even

y = cos (-x) even

y = csc x odd

y = sin x/cos x odd

The P-value for the hypothesis test H₀: p = 0.9 against H₁: p ≠ 0.9, at α = 0.056, is less than 0.056.

What is hypothesis test?

A hypothesis test is a statistical procedure used to make inferences or draw conclusions about a population based on sample data. It involves formulating two competing hypotheses, the null hypothesis (H₀)

In this hypothesis test, we are interested in determining if the proportion (p) of customers who are satisfied or very satisfied with a corporation's products and services is different from 0.9.

The null hypothesis (H₀) states that the proportion is equal to 0.9, while the alternative hypothesis (H₁) states that the proportion is not equal to 0.9.

To test these hypotheses, we use a binomial proportion test. From the given information, we have a sample of 1000 customers, and 850 of them are satisfied or very satisfied.

Using the sample proportion calculated as 850/1000 = 0.85, we can calculate the test statistic, which follows an approximately standard normal distribution under the null hypothesis.

Since the P-value is less than 0.056, we reject the null hypothesis and conclude that there is evidence to suggest that the proportion of satisfied or very satisfied customers is different from 0.9.

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Answer:

i think yes no yes no

Step-by-step explanation:

The volume of the given rectangular prism is given by the options 8 × 6 and 4 × (6 × 2).

Rectangular prism is a three dimensional shape which consist of six faces. The two faces are at the top and bottom and the other faces are lateral faces.

The volume of a figure is the total space occupied by the space.

Volume of a rectangular prism is,

Volume = l w h

where l is the length, w is the width and h is the height.

The given figure has,

length = 6 inches

Width = 4 inches

Height = 2 inches

Volume = 6 × 4 × 2

             = 4 × (6 × 2)

             = (4 × 2) × 6

             = 8 × 6

Hence the volume can be expressed as 8 × 6 and 4 × (6 × 2).

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Our assumption that there are only finitely many primes of the form 3n^2 must be false. Hence, there are infinitely many primes of form 3n^2, as required.

To prove that there are infinitely many primes of form 3n^2, where n belongs to Z (the set of integers), we will use a proof by contradiction. Suppose that there are only finitely many primes of form 3n^2, say p_1, p_2, ..., p_k. Let N be any integer greater than p_k.

Consider the integer m = 3N^2. Since N > p_k, we have m > 3p_k^2, and so m is not divisible by any of the primes p_1, p_2, ..., p_k.

Now, let p be a prime factor of m. Since m = 3N^2, we have p|3N^2, and so p|N^2. This implies that p|N (since p is prime and cannot divide only one factor of a square). Therefore, we have m = 3N^2 = pN' for some integer N'.

Since p does not divide N, we have p does not divide 3 (since p|3N^2 but p does not divide N), and so p must be of the form 3k+1 or 3k+2 (by considering the possible remainders of p when divided by 3). But since m = 3N^2 is divisible by 3, we must have p|N.

Therefore, N' is also an integer, and we have m = pN'. But this contradicts the fact that p does not divide any of the primes p_1, p_2, ..., p_k.

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Answer:

It's either 4000pi/3 or 4188.79020478

Step-by-step explanation:

Hope this helped

it is important to keep in mind that the results of a polygraph test should not be taken as absolute proof of deception or truthfulness, and that other factors should also be considered in evaluating a job applicant

While lie-detector tests (also known as polygraph tests) are sometimes used as part of a job application process, their reliability and accuracy are controversial and have been questioned by many experts in the field. The test measures physiological responses such as heart rate, blood pressure, and sweat gland activity in response to questions, and the results are interpreted by a trained examiner to determine whether the person is being truthful or deceptive.

However, there are several factors that can affect the results of a polygraph test, including the person's physiological state (such as anxiety or stress), the wording and interpretation of the questions, and the skills and biases of the examiner. False positives (indicating deception when the person is actually telling the truth) and false negatives (indicating truthfulness when the person is actually lying) are also possible.

In your case, it is possible that the lie-detector test gave a false positive result, indicating deception when you were actually telling the truth. There could be various reasons for this, such as anxiety or stress during the test, a misunderstanding or misinterpretation of the questions, or an error in the administration or interpretation of the test.

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To find the equation of the tangent line to the curve y = 5ex cos(x) at the point (0, 5), we need to find the slope of the tangent line at that point.

First, we find the derivative of y with respect to x:

dy/dx = 5ex (-sin(x)) + 5ex cos(x)

Next, we evaluate the derivative at x = 0:

dy/dx |x=0 = 5e0 (-sin(0)) + 5e0 cos(0) = 5

So the slope of the tangent line at (0, 5) is 5.

Now we use the point-slope form of the equation of a line to find the equation of the tangent line:

y - y1 = m(x - x1)

where m is the slope of the line and (x1, y1) is the given point.

Plugging in the values we have:

y - 5 = 5(x - 0)

Simplifying, we get:

y = 5x + 5

So the equation of the tangent line to the curve y = 5ex cos(x) at the point (0, 5) is y = 5x + 5.

Step 1: Find the derivative of the function y.
Given function y = 5e^x cos(x), we will differentiate it with respect to x using the product rule.

Product rule: (uv)' = u'v + uv'
Let u = 5e^x and v = cos(x).

Step 2: Find u' and v'.
u' = d(5e^x)/dx = 5e^x
v' = d(cos(x))/dx = -sin(x)

Step 3: Apply the product rule.
y' = u'v + uv'
y' = (5e^x)(cos(x)) + (5e^x)(-sin(x))
y' = 5e^x(cos(x) - sin(x))

Step 4: Find the slope of the tangent line at the given point (0, 5).
Substitute x = 0 in the derived equation.
y'(0) = 5e^0(cos(0) - sin(0)) = 5(1)(1 - 0) = 5

Step 5: Use the point-slope form to find the equation of the tangent line.
Point-slope form: y - y1 = m(x - x1)
Given point: (0, 5) => x1 = 0 and y1 = 5
Slope (m) = 5

Step 6: Plug the values into the point-slope form.
y - 5 = 5(x - 0)
y - 5 = 5x

Step 7: Rewrite the equation in slope-intercept form (y = mx + b).
y = 5x + 5

The equation of the tangent line to the curve y = 5e^x cos(x) at the point (0, 5) is y = 5x + 5.

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Answer:

A

Step-by-step explanation:

4 divided by 12 is 0.3333 so anything you do has to be more than 0.3333 and 2 divided by 4 is .5 which is more then 0.333. Hope this helps

The value of the sample proportion of people from Vermont who exercised for at least 30 minutes a day 3 days a week is 0.653, which is equivalent to 65.3%.

It is important to note that this value is based on a random sample of respondents and may not necessarily represent the true proportion of the entire population of Vermont who exercise regularly.

To find the sample proportion of people from Vermont who exercised for at least 30 minutes a day, 3 days a week, follow these steps:

1. Convert the given percentage (65.3%) to a decimal by dividing by 100: 65.3 / 100 = 0.653
2. Multiply the decimal by the number of participants in the random sample (100 respondents): 0.653 * 100 = 65.3
3. Round the result to the nearest whole number to find the number of participants who exercised: 65.3 ≈ 65
4. Divide the number of participants who exercised (65) by the total number of participants in the random sample (100): 65 / 100 = 0.65

This means that out of the 100 participants sampled from Vermont, 65.3 of them answered "yes" to the question of whether they had exercised for more than 30 minutes a day for three days out of the week.

The value of the sample proportion of people from Vermont who exercised for at least 30 minutes a day, 3 days a week is 0.65 or 65%.

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d) there must be at least 30 trials.

Answer:

sorry in advance!

1,3?

Step-by-step explanation:

Answer:

a) The radius of the wheel is 51 cm.

b) The area of the wheel is 8167.14 cm².

Step-by-step explanation:

SOLUTION :

Here we have given that the circumference of a wheel is 320.28 centimeters. We have to find the :

Finding the radius of circle by substituting all the given values in the formula :

\(\quad{\longrightarrow{\sf{C_{(Circle)} = 2 \pi r}}}\)

\(\quad{\longrightarrow{\sf{320.28=2 \pi r}}}\)

\(\quad{\longrightarrow{\sf{320.28=2 \times 3.14 \times r}}}\)

\(\quad{\longrightarrow{\sf{320.28=6.28 \times r}}}\)

\(\quad{\longrightarrow{\sf{r = \dfrac{320.28}{6.28}}}}\)

\(\quad{\longrightarrow{\sf{r = \cancel{\dfrac{320.28}{6.28}}}}}\)

\(\quad{\longrightarrow{\sf{\underline{\underline{\purple{r = 51 \: cm}}}}}}\)

Hence, the radius of circle is 51 cm.

\(\begin{gathered} \end{gathered}\)

Now, calculating the area of circle by substituting all the given values in the formula

\(\quad{\longrightarrow{\sf{A_{(Circle)} = \pi {r}^{2}}}}\)

\(\quad{\longrightarrow{\sf{A_{(Circle)} = 3.14 {(51)}^{2} }}}\)

\(\quad{\longrightarrow{\sf{A_{(Circle)} = 3.14 {(51 \times 51)}}}}\)

\(\quad{\longrightarrow{\sf{A_{(Circle)} = 3.14 {(2601)}}}}\)

\(\quad{\longrightarrow{\sf{A_{(Circle)} = 3.14 \times 2601}}}\)

\(\quad{\longrightarrow{\sf{\underline{\underline{\pink{A_{(Circle)} = 8167.14 \: {cm}^{2}}}}}}}\)

Hence, the area of circle is 8167.14 cm².

Answer:

A 6-sided shape is a hexagon.

The descriptive statistics for the above data is given as follows:
X = 12.5

A set of concise descriptive coefficients that describe a particular data set indicative of a whole or sample population is known as descriptive statistics.

For X (mean) = \({\displaystyle X={\frac {1}{n}}\sum _{i=1}^{n}X_{i}\)

= 300/24

= 12.5

For sample variance = \(s^2 = \frac{1}{n-1}\biggl[\, \sum_{i=1}^n X_i^2 - \frac{\Bigl(\,\sum\limits_{i=1}^n X_i\Bigr)^{\!2}}{n} \biggr]\)

= (1/(24-1) (4,900 - (300²/24)

= 50

Standard deviation s = √s²

= √50

= 7.0711

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The value of the x is 7.9

What is proportion?

Two ratios are set to be equal in an equation called a proportion.

Given,    \(\frac{7}{8} = \frac{x}{9}\)

or, 8x = 9*7

or, 8x = 63

or, x = 63/8

or, x = 7.875 = 7.9 (rounded to the nearest tenth)

Therefore, the required value of x is 7.9

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The probability that exactly 6 individuals in the sample favor this president candidate is 0.2068.

The area of mathematics known as probability deals with the outcomes of random events. Probability refers to a result's chance or potential. It clarifies the likelihood that a specific occurrence will take place. We frequently say things like, "He will probably pass the test," "There is very little chance of receiving a storm tonight," and "Most likely the price of onions will increase once more." We substitute the word probability for every instance of chance, uncertainty, maybe, likely, etc. in these statements. In essence, probability is the ability to anticipate an outcome based on the variety and quantity of potential possibilities or the analysis of historical data.

Given,

P( favor president) = 0.4

P( does not favor president) = 0.6

P( x = 6)

= ¹⁵C₆ (0.4)⁶(0.6)⁶⁻³

= 15!/6!9! (0.6)³(0.4)⁶

= 0.2068916

= 0.2068

The probability that exactly 6 individuals in the sample favor this president candidate is 0.2068.

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The product of a rational number and an irrational number is always irrational. So the given statement is true.

To understand why, let's assume we have a rational number represented as p/q, where p and q are integers and q is not equal to zero. We also have an irrational number represented as √2.

If we multiply the rational number p/q by the irrational number √2, we get:

(p/q) * √2 = (p√2)/q

Since √2 is irrational and q is a non-zero integer, the numerator p√2 remains irrational. Dividing an irrational number by a non-zero integer does not change its irrationality.

Therefore, the product (p√2)/q is an irrational number, proving that the product of a rational number and an irrational number is irrational.

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Answer:

1.2 (if that’s wrong then it’d 1.3)

Step-by-step explanation:

Divide first since it’s rounding and when you get the answer round to the nearest tenth.

Answer:

e

Step-by-step explanation:

just use a calculator for these questions

According to the Second-Derivative Test for Local Extrema, f(x,y) has a critical point if f x(a,b) = 0 and f y(a,b) = 0, and all second-order partial derivatives of f(x,y) exist in some circular region containing (a,b) as center.

The Second-Derivative Test is as follows:

Case 1: If AC - B2 > 0 and A < 0, then f(x,y) has a local maximum at (a,b).

Case 2: If AC - B2 > 0 and A > 0, then f(x,y) has a local minimum at (a,b).

Case 3: If AC - B2 < 0, then f(x,y) has a saddle point at (a,b).

Case 4: The test fails if AC - B2 = 0. The steps to apply the Second-Derivative Test for Local Extrema are as follows:

Find the critical point of f(x,y). Calculate A, B, and C using second-order partial derivatives of f(x,y). Evaluate AC - B2 and A.

Using the above cases, determine whether f(x,y) has a local maximum, minimum, or a saddle point.

Thus, we need to apply the Second-Derivative Test for Local Extrema to find the local extrema of the function f(x,y). The Second-Derivative Test can be used to determine whether a function has a local minimum, a local maximum, or a saddle point, which can help solve optimization problems in various fields.

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The given table represents the counts from three independent random samples taken from three major cities regarding whether teenagers consumed a soft drink in the past week.

By summing up the counts of teenagers who consumed a soft drink from all three cities and dividing it by the total number of teenagers surveyed, we can calculate the overall proportion. Dividing this proportion by the total number of teenagers and multiplying by 100 will give us the percentage of teenagers who consumed a soft drink.

For example, if the first city had a count of 150 teenagers who consumed a soft drink out of a total of 300 surveyed, the second city had 200 out of 400, and the third city had 180 out of 350, the overall proportion would be (150 + 200 + 180) / (300 + 400 + 350) = 530 / 1050. Multiplying this by 100, we find that approximately 50.48% of teenagers consumed a soft drink in the past week based on the combined sample.

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A research center conducted a national survey about teenage behavior. Teens were asked whether they had consumed a soft drink in the past week. The following table shows the counts for three independent random samples from major cities. Baltimore Yes 727 Detroit 1,232 431 1,663 San Diego 1,482 798 2,280 Total 3,441 1,406 4,847 No 177 904 Total (a) Suppose one teen is randomly selected from each city's sample. A researcher claims that the likelihood of selecting a teen from Baltimore who consumed a soft drink in the past week is less than the likelihood of selecting a teen from either one of the other cities who consumed a soft drink in the past week because Baltimore has the least number of teens who consumed a soft drink. Is the researcher's claim correct? Explain your answer. (b) Consider the values in the table. (i) Baltimore Detroit San Diego 0 0.1 0.9 1.0 0.2 0.3 0.4 0.5 0.6 0.7 0.8 Relative Frequency of Response (ii) Which city had the smallest proportion of teens who consumed a soft drink in the previous week? Determine the value of the proportion. (c) Consider the inference procedure that is appropriate for investigating whether there is a difference among the three cities in the proportion of all teens who consumed a soft drink in the past week. (i) Identify the appropriate inference procedure. (ii) Identify the hypotheses of the test.