Solve This System Of Equations By Using The Elimination Method. 2x+4y=8 2x+3y=4 (2024)

No, there is not. We do not have sufficient evidence to conclude that less than 40% of U.S. adults are aware that such an investment would result in a sum of over $100,000.

Two-Proportion Z-Test Results

To test the hypothesis that less than 40% of U.S. adults are aware that such an investment would result in a sum of over $100,000, we can use a two-proportion z-test. The null hypothesis is that the proportion of U.S. adults who are aware of the investment's outcome is equal to or greater than 40%, and the alternative hypothesis is that the proportion is less than 40%.

The test statistic is calculated as:

z = (p1 - p2) / √(p(1-p)(1/n1 + 1/n2))

where p1 is the proportion of U.S. adults in the sample who are aware of the investment's outcome (374/1010), p2 is the proportion assumed in the null hypothesis (0.4), and n1 and n2 are the number of observations in the sample and population, respectively.

Using these values, the test statistic is:

z = (0.369 - 0.4) / √(0.4(1-0.4)(1/1010)) = -1.08

Using a two-sided test with a significance level of 0.05, we can look up the critical value in a standard normal table or using software and find that the critical value is ±1.96. Since -1.08 is between -1.96 and 1.96, we fail to reject the null hypothesis.

Therefore, we do not have sufficient evidence to conclude that less than 40% of U.S. adults are aware that such an investment would result in a sum of over $100,000.

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Answer: 38

Step-by-step explanation:

You can split this shape into 2 rectangles. The area of the two rectangles = 5 * 4 + 6 * 3

= 20 + 18

= 38

The required roster form of the given sets are C ∩ (B’ ∪ A) = {p, q}.

What is the roster form of a set?

The roster form of a set is defined as a set that can be represented mathematically in a precise way using a roster notation. In a roster notation, if the set has more than one element, a comma is used to denote the separation between every pair of elements.

The given sets are defined as follows:

U = {f, g, h, p, q, r, x, y, z}

A = {f, g, p, q}

B = {g, h, q, x, y}

C = {p, q, x, y, z}

The complement of set B is the set of all elements in the universal set U that are not in set B.

U = {f, g, h, p, q, r, x, y, z}

B = {g, h, q, x, y}

B’ = {f, p, r, z}

The union of set B' and A is the set of all elements that are in set B' or in set A.

A = {f, g, p, q}

B’ = {f, p, r, z}

B’ ∪ A = {f, g, p, q, r, z}

The intersection of set C and (B’ ∪ A) is the set of all elements that are in both set C and set (B’ ∪ A).

C = {p, q, x, y, z}

B’ ∪ A = {f, g, p, q, r, z}

C ∩ (B’ ∪ A) = {p, q}

So, C ∩ (B’ ∪ A) = {p, q}

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Answer:

x = 12

4 races

Step-by-step explanation:

2/3 = 8/x

Cross multiply.

2x = 8 × 3

x = 4 × 3

x = 12

Answer: x = 12

0.75 × 45 = 33.75

Since the number of races must be an integer, they must win a total of 34 races to have at least a 75% success rate.

They already won 30 races.

34 - 30 = 4

Answer: 4 races

a) The expected annual rainfall is 15 million tons.

b) The standard deviation is the square root is 15 million tons.

c) Pgamma(4, shape = 3, scale = 5)

d) Pgamma(5, shape = 3, scale = 5) - Pgamma(2, shape = 3, scale = 5)

Gamma Distribution Probabilities

a) The expected annual rainfall accumulated in this lake is given by the mean of the gamma distribution, which is alpha * gamma. In this case, the expected annual rainfall is 3 * 5 = 15 million tons.

b) The standard deviation of the annual amount of rainfall in this lake is given by the square root of the variance, which is the square root of alpha * gamma². In this case, the standard deviation is the square root of 3 * 5² = 15 million tons.

c) To find P(X < 4), we can use the cumulative distribution function (CDF) of the gamma distribution. In R, we can use the pgamma() function to find the CDF of the gamma distribution at a given value.

pgamma(4, shape = 3, scale = 5)

This will return the probability that X is less than 4, which is the cumulative probability.

d) To find P(2 < X < 5), we can use the cumulative distribution function (CDF) of the gamma distribution. In R, we can use the pgamma() function to find the CDF of the gamma distribution at a given value.

pgamma(5, shape = 3, scale = 5) - pgamma(2, shape = 3, scale = 5)

This will return the probability that X is between 2 and 5, which is the cumulative probability.

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Answer:

The answer to your question is no 1 that is

12x^3 - 52x^2y - 13xy^2 + 40y^3

The value of angle mZB is 28. 8 degrees

How to determine the angles

It is important to note that supplementary angles are described as pair of angles that sum up to angles on a straight line.

Also, angles on a straight is equal or equivalent to 180 degrees.

From the information given, we have that;

mZB+ mZA = 180mZA = 5mZB + 7. 2 degrees

Now, susbtitute the values, we get;

mZB + mZA = 180

5mZB + 7. 2 + mZB = 180

collect like terms, we get;

5mZB + mZB = 180 - 7.2

Add or subtract the like terms

6mZB = 172.8

Now, divide both sides by the coefficient of mZB, we get;

mZB = 172.8/6

Divide the values

mZB = 28. 8 degrees

Hence, the value is 28. 8 degrees

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When σ is known, hypothesis tests are performed for one population mean. The one-mean z-test, or simply z-test, is a hypothesis test carried out for a single population mean when the population standard deviation is known.

A data distribution's spread is measured by standard deviation. It calculates the average separation between each data point and the mean.

Whether we consider the data to be a population unto itself or a sample of a broader population affects the method we use to calculate standard deviation.

Statistics is the parent topic for the Population Mean notion. In a nutshell, statistics addresses the issues of gathering data as well as its analysis, interpretation, and presentation. The population mean formula calculates the average of all the values in the population or set of data.

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The sample space for rolling a fair eight-sided die is S = {1, 2, 3, 4, 5, 6, 7, 8}; the correct option is D

What is probability?

Probability is a way to gauge how likely something is to happen. According to the probability formula, the likelihood that an event will occur is equal to the proportion of positive outcomes to all outcomes. The probability that an event will occur P(E) is equal to the ratio of favorable outcomes to total outcomes. The likelihood of an event occurring might range from 0 to 1. A sample space is a set of potential results from a random experiment. The letter "S" is used to denote the sample space. Events are the subset of possible experiment results.

Given;

An eight-sided die,

The sample space=?

Now, when eight sides die is tossed there will be 8 sample spaces that are;

1, 2, 3, 4, 5, 6, 7, 8,

Hence, S = {1, 2, 3, 4, 5, 6, 7, 8}

Therefore, the probability sample space will be S = {1, 2, 3, 4, 5, 6, 7, 8}

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Answer: I am Not that good In Maths But here you go

Step-by-step explanation:

Part A:

The population of a city in 2015 is 36,000 and it is increasing at 15% per year. We can model this using an exponential equation of the form:

P(z) = P0 * (1 + r)^z

Where:

P(z) is the population after z years

P0 is the initial population in 2015 (36,000)

r is the rate of growth (0.15)

z is the number of years since 2015

So the exponential equation that models the population is:

P(z) = 36,000 * (1 + 0.15)^z

Part B:

To find the population in 2020, we would substitute z = 5 (2020 - 2015) into the equation:

P(5) = 36,000 * (1 + 0.15)^5

P(5) = 36,000 * 1.15^5

Calculating this gives us a population of approximately 63,746 in 2020.

To obtain this answer, we used the exponential equation that models the population, P(z), where a represents the number of years since 2015, with the given information that population in 2015 was 36,000 and it's increasing at 15% per year and substitute the value of 5 for z.

The given function has

x-intercepts: x = 0, x = 4, x = -4, x = -4i and x = 4i.

Positive or Negative: The function f(x) = x(x − 4)³(x+4)² is positive for x > 0 and negative for x < 0.

Even or Odd: The function f(x) = x(x − 4)³(x+4)² is an even function.

End behavior: x approaches positive or negative infinity the value of f(x) approaches positive infinity.

What is a function?

A function is a mathematical relationship between a set of inputs (referred to as the domain) and a set of outputs (referred to as the range). In other words, a function assigns a unique output to each input value in the domain.

Given the function f(x) = x(x − 4)³(x+4)²

x-intercepts: The x-intercepts are the points at which the function crosses the x-axis, meaning the y value is equal to zero. To find the x-intercepts we need to set f(x) = 0 and solve for x.

x(x - 4)^3(x+4)^2 = 0

the x-intercepts of the function f(x) = x(x - 4)^3(x+4)^2 are x = 0, x = 4, x = -4, x = -4i and x = 4i.

Positive or Negative: The function f(x) = x(x − 4)³(x+4)² is positive for x > 0 and negative for x < 0.

Even or Odd: The function f(x) = x(x − 4)³(x+4)² is an even function.

End Behavior: The end behavior of this function is that as x approaches positive or negative infinity the value of f(x) approaches positive infinity.

Hence, the given function has

x-intercepts: x = 0, x = 4, x = -4, x = -4i and x = 4i.

Positive or Negative: The function f(x) = x(x − 4)³(x+4)² is positive for x > 0 and negative for x < 0.

Even or Odd: The function f(x) = x(x − 4)³(x+4)² is an even function.

End behavior: x approaches positive or negative infinity the value of f(x) approaches positive infinity.

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Answer:

D.[tex]\sqrt[32]{2}[/tex]

I think this is right becuse V=l*w*h which is 64=4*4*4

Answer:

answer is B) 8 240 000

(: have a nice day

Answer:

B 8,240,000

Step-by-step explanation:

your welcome

The two additional roots of a polynomial function P(x) = 0 with rational coefficients are -i and 7-8i.

We have to find the determine the two additional roots of a polynomial function P(x) = 0.

The answers to any given polynomial for which we must ascertain the value of the unknowable variable are known as the roots of polynomials. We can evaluate a polynomial's value to zero if we know its roots.

The given roots of P(x) = 0 is i and 7+8i.

So there conjugate are also the roots of P(x).

So the two additional roots of P(x) = 0 should be -i and 7-8i.

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The complete question is:

Find two additional roots of a polynomial function P(x) = 0 with rational coefficients given below where additional roots of P(x) = 0, i and 7+8i.

Mathematically, Aaliyah needs to read 8.75 hours (or 8 hours, 45 minutes) to fulfill her promise of reading 50 more pages than Yohance.

What are the mathematical operations?

The mathematical operations used to determine the hours that Aaliyah needs to read this weekend to meet her target include multiplication, addition, and division.

In the first instance, we must determine the total pages read by Yohance this weekend using multiplication as follows: 300 (7.5 x 40).

Secondly, the additional pages Aaliyah will read are added to Yohance's to show the total pages read by Aaliyah.

Lastly, the total pages are divided by Aaliyah's reading speed or rate to determine the hours she requires.

Aaliyah Yohance

Average pages per hour 40 40

Additional page 50

Yohance weekend reading time = 7.5 hours

Total pages read by Yohance this weekend = 300 (7.5 x 40)

The total pages to be read by Aaliyah this weekend = 350 (300 + 50)

Aaliyah's total weekend reading time 8.75 hours (350/40)

Thus, for Aaliyah to read 50 more pages than Yohance, she needs 8.75 hours to fulfill her promise.

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Answer:

5$ Per Lawn

Step-by-step explanation:

10$/2=5$

2/2=1

MARK ME BRAINLISIST

Answer: the rate she is earning is 5$ per lawn mowed

Step-by-step explanation:

if she earns 10$ after mowing 2 lawns then if you divide 10 and 2 you get 5

Please make me brainllest

"At least one digit is present to the left of the decimal point in all cases" and "the exponent can be a positive or negative integer" are the correct option for the given question.

Decimal numbers, also known as base-10 numbers. They use a system of digits from 0 to 9 and a decimal point to represent values. The decimal point separates the integer part of the number from the fractional part.

For example, in the decimal number 56.36, 56 is the integer part and 36 is the fractional part.

Hence, at least one digit is present to the left of the decimal point in all cases.

In scientific notation, the exponent is used to represent very large or very small numbers. The number is written in the form of a x [tex]10^n[/tex] where 'a' is a decimal number between 1 and 10 (inclusive) and 'n' is an integer (positive or negative) exponent.

Say, for example, 0.00006 can be written as 6 x [tex]10^{-5}[/tex] where 6 is the coefficient and -5 is the exponent.

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The scale factor for the dilation in this problem is given as follows:

2.

What is a dilation?

A dilation happens when the coordinates of the vertices of an image are multiplied by the scale factor, changing the side lengths of a figure.

The equivalent side lengths in this problem are given as follows:

AD, with length 8 - 0 = 8.DE, with length 8 - 4 = 4.

The dilated triangle is triangle DAB, hence the scale factor is obtained as follows:

k = 8/4 = 2.

(that is, the side lengths of triangle DEF were multiplied by 2 to generate triangle DAB).

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Answer: a. First-in, first-out (FIFO) method:

Under FIFO, the first units purchased are assumed to be the first units sold.

9 units were sold at $39 each for a total cost of $351

9 units were sold at $41 each for a total cost of $369

6 units were sold at $42 each for a total cost of $252

So the total cost of goods sold is $351 + $369 + $252 = $972

The 7 units remaining in inventory at the end of the year were purchased at $41 each, so their cost is 7*41 = $287

b. Last-in, first-out (LIFO) method:

Under LIFO, the most recent units purchased are assumed to be the first units sold.

6 units were sold at $42 each for a total cost of $252

9 units were sold at $41 each for a total cost of $369

9 units were sold at $39 each for a total cost of $351

So the total cost of goods sold is $252 + $369 + $351 = $972

The 7 units remaining in inventory at the end of the year were purchased at $39 each, so their cost is 7*39 = $273

c. Weighted average cost method:

Under the weighted average cost method, the average cost of all the units is used to determine the cost of goods sold and ending inventory.

The total cost of the units available for sale is $351 + $369 + $252 = $972 and the total number of units available for sale is 24. So, the average cost per unit is $972 / 24 = $40.50

The cost of goods sold is $40.50 * 24 = $970.

The cost of the units remaining in inventory at the end of the year is $40.50 * 7 = $283.50

Note: The final answers were rounded to the nearest whole dollar.

Step-by-step explanation:

after 20 hours the clock will show 3*20 = 60 min = 1 hr more

since the clock is analogue after 12 hours it will show the same time hat is 6 am and 6 pm are shown the same way.

after 20*12 = 240 hr = 10 days the clock will show 12 hr more but since 6 am and 6 pm are shown the same after 240 hr = 10 days the clock will show the correct time again.

the correct time will be shown on Monday 6 pm.

The solution of the inequality -3x - 3 ≤ 6 is x ≥ -3 represented by (D).

What is an equation?

An equation is an expression that shows the relationship between numbers and variables. Equations are either linear, quadratic, cubic and so on

Inequality is an expression that shows the non equal comparison between two or more numbers and variables.

Number line contains number placed at regular intervals on a straight line.

Given the inequality:

-3x - 3 ≤ 6

adding 3 to both sides:

-3x - 3 + 3 ≤ 6 + 3

-3x ≤ 9

Dividing by -3:

x ≥ -3

The solution is D. It a solid dark circle beginning from -3 to the right.

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Answer:

Step-by-step explanation:

7x9=63

because 7 down times 9 across

Answer:

∠MKN and ∠OKN

Step-by-step explanation:

∠MKN and ∠OKN are supplementary because they add up to 180°

The coordinates of X are (-6.4, 5.75)

How to determine the coordinates

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

A = (-10,7)

B = (8,-5).

m : n = 1 : 4

The coordinate is then calculated as

X = 1/(m + n) * (mx2 + nx1, my2 + ny1)

So, we have

X = 1/5 * (1 * 8 + 4 * -10, 1 * -5 + 4 * 7)

Evaluate

X = (-6.4, 5.75)

Hence, the coordinate is (-6.4, 5.75)

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Complete question

given directed line segment ab determine point x on the graph such that x partitions the segment from a(-10,7) to b(8,-5) in the ratio 1:4 and give it's coordinates

Answer:

2

Step-by-step explanation:

The answer is 2

Explanation: 1 + 1 = 2

Answer:

Plane B

Step-by-step explanation:

Plane A: 2800/5 = 560 m/h

Plane B: 3885/7 = 555 m/h

The charge q(t) that crosses the dashed line going from left to right in the time interval (0, t) [s] is given by q(t) = q0 + (t)I,

The charge q(t) that crosses the dashed line going from left to right in the time interval (0, t) [s] is calculated by the formula q(t) = q0 + (t)I, where q0 is the initial charge and I is the current.

The charge q(t) that crosses the dashed line going from left to right in the time interval (0, t) [s] is given by q(t) = q0 + (t)I, where q0 is the initial charge and I is the current. To calculate q(t), we need to first calculate the initial charge q0 and then calculate the current I. To calculate q0, we need to integrate the current I over the time interval (0, t). To calculate q(t), we need to know q0 and I. Then, we can calculate q(t) by multiplying t by I and adding it to q0. For example, if q0 = 3 C and I = 2 A, then q(t) = 3 + (t)(2) = 3 + 2t C.

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Based on the table, a statement which is true is that: C. The table shows a linear relationship, but not a proportional relationship.

What is a proportional relationship?

In Mathematics, a proportional relationship simply refers to a type of relationship that generates equivalent ratios and it can be modeled or represented by the following mathematical expression:

y = kx

Where:

y is the distance measured in miles.x is the time measured in hours.k is the constant of proportionality.

Next, we would determine the constant of proportionality (k) for the distance (miles) and time (hours) on this table as follows:

Constant of proportionality, k = y/x

Constant of proportionality, k = 6/2 ≠ 11/4 ≠ 34/9 ≠ 81/16

In conclusion, we can reasonably infer and logically deduce that the table shows a linear relationship because as the time (in hours) increases, the distance (miles) also increases. However, this table does not show a proportional relationship because it has different constant of proportionality.

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The distribution of z-scores would be a normal distribution centered at 0, with a standard deviation of 1.

The distribution of time it takes for people to solve a certain Sudoku puzzle is strongly skewed to the right. This means that most people take a shorter amount of time to solve the puzzle, but some take a longer amount of time. The mean (average) of this distribution is 30 minutes and the standard deviation is 15 minutes.

To find the distribution of z-scores, we need to convert the times into z-scores, which is done by subtracting the mean (30) from each time and then dividing by the standard deviation (15). This gives us a new distribution of z-scores, which is centered at 0 (since the mean of the times was subtracted from each time) and has a standard deviation of 1.

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