fine the value of X

Answer:

whats the problem? and what?

Step-by-step explanation:

The null hypothesis (H0) is that the proportion of taxpayers who do not pay income taxes in the region is equal to 47%. The alternative hypothesis (Ha) is that the proportion of taxpayers who do not pay income taxes in the region is not equal to 47%.

In other words, the null hypothesis assumes that the politician's claim is true, while the alternative hypothesis assumes that the claim is not true. To test these hypotheses, Makayla can use a one-sample proportion test to determine whether the proportion of taxpayers who do not pay income taxes in her sample is significantly different from 47%.
It's important to note that the results of the test will not definitively prove or disprove the politician's claim, but rather provide evidence for or against it. Additionally, the test may have limitations and assumptions that need to be taken into account when interpreting the results.

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In order for Janet's investment to increase to $10,000 in five years at a 4% yearly interest rate compounded monthly, she needs to put aside about $8,079.90 now.

For instance, if you put $1,000 in a bank account that offers 1% yearly interest, after a year you would have received $10 in interest. Compound interest allowed you to make 1 percent on $1,010 in Year Two, which amounted to $10.10 in interest payments for the year.

We can use the formula for compound interest to find how much Janet needs to invest now:

\(A=P\left(1+\frac{r}{n}\right)^{n t}\)

where:

A = the amount of money after the specified time period

P = the principal (the amount of money Janet needs to invest now)

r = the annual interest rate (4% = 0.04)

n = the number of times the interest is compounded per year (12, since it is compounded monthly)

t = the time period, in years (5)

Plugging in the values we get:

10,000 = P(1 + 0.04/12)⁽¹²*⁵⁾

Solving for P, we get:

P = 10,000 / (1 + 0.04/12)⁽¹²*⁵⁾

P ≈ $8,079.90

Therefore, Janet needs to invest about $8,079.90 now to grow to $10,000 in 5 years at a 4% annual interest rate compounded monthly.

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.66 = .667 = 2/3 = 66.1

Boom! Least to greatest

66 66.1 2/3 0.667 is ur answerrrrr

Answer:

Step-by-step explanation:30 x 2 = 60 because 8:9 get simplify by 2 and you just times the 30 with 2

Answer:

Let the common multiple be x

John's score is 8x Peter's is 9x

8x/9x-30=4/3

24x=36x-120

12x=120

x=10

John's score is 8 x 10=80

Correct me if im wrong:)

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Answer:

1900 km

Step-by-step explanation:

train = 1050km

bus = 200 less than train or 1050-200 = 850

1050+850=1900

Answer:

625, just got it right

Step-by-step explanation:

Answer:

[see below]

Step-by-step explanation:

\(-7x+9y=-18\\\\-7x+7x+9y=-18+7x\\\\9y=-18+7x\\\\\frac{9y=-18+7x}{9}\\\\ y=-2+\frac{7}{9}x\\\\ \boxed{y=\frac{7}{9}x-2}\)

The slope is 7/9 and the y-intercept is (0, -2).

Hope this helps.

Chloe runs her air conditioner for a total of 4 months, or 120 days. Chloe spends $176.40 per year on utility bills for the air conditioner during the four hottest months.

The reason for this expense is the need for cooling during these months, and the cost associated with running the air conditioner for 7 hours per day at a rate of $0.21 per hour.

To calculate the annual cost of running Chloe's air conditioner, we need to consider the number of hours per day, the cost per hour, and the number of days the air conditioner is used.

1. First, let's determine the total number of hours the air conditioner runs during the four hottest months:
7 hours/day * 30 days/month * 4 months = 840 hours

2. Now, we can calculate the total cost by multiplying the number of hours by the cost per hour:
840 hours * $0.21/hour = $176.40

At 7 hours per day, that's a total of 840 hours of use. At a cost of 21 cents per hour, Chloe spends 0.21 x 840 = $176.40 per year on utility bills for her air conditioner.

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The best way to select a random sample of students is "Ask every 20th student during lunch in the school cafeteria".

The model approach to picking a random sample of students to gather data on teens' music tastes is to ensure that each student has an equal chance of getting chosen. This is known as random sampling, and it assists in reducing biases and ensuring that the sample is representative of the total population.

Option C, Asking every 20th kid during lunch in the school cafeteria, would be the best decision among the possibilities presented.

By picking every 20th student, a decent amount of randomization is achieved, and each student has an equal chance of being included in the sample.

When compared to the other choices, this technique generates a more representative sample.

Hence, the correct answer is C.

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Answer:

12

Step-by-step explanation:

Rectangle : Let length = b & width = a

PQ = QR = 6

LR = QR - PL = 6 - a

ΔPQR ~ ΔMLR

In similar triangles, corresponding sides are in same ratio.

\(\frac{PQ}{QR}=\frac{ML}{LR}\\\\\frac{6}{6}=\frac{a}{6-b}\)

\(1 =\frac{a}{6-b}\)

6 - b = a

6 = a + b

a +b = 6

Perimeter of rectangle = 2*(length +width}

       = 2*(a+ b)

       = 2 * 6

       = 12  

The midterm grades is the grade that is more unusual

for the midterm

the mean = 80 + 78 + 85 + 82 + 79 +79 + 78 + 86 + 80 + 84 / 10

= 81.1

Then the standard deviation is

Variance = [(80-81.1)² + (78-81.1)² + (85-81.1)² + (82-81.1)² + (79-81.1)² + (79-81.1)² + (78-81.1)² + (86-81.1)² + (80-81.1)² + (84-81.1)²] / 10

sd = 2.961

z = 86-81.1/2.961

= 1.66

For the final

Mean = (81 + 88 + 68 + 69 + 69 + 81 + 82 + 86 + 76 + 71) / 10

= 771 / 10

= 77.1

Therefore, the mean of the given numbers is 77.1.

To find the standard deviation, we first need to find the variance. The variance is calculated by finding the average of the squared differences between each number and the mean:

Variance = [(81-77.1)² + (88-77.1)² + (68-77.1)² + (69-77.1)² + (69-77.1)² + (81-77.1)² + (82-77.1)² + (86-77.1)² + (76-77.1)² + (71-77.1)²] / 10

SD = 7.490

z= (86-77.1) / 7.490 = 1.188

Given that 1. 66 is greater that 1.188, we would have to conclude that the midterm is more unusual

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Complete question

The midterm and final exam grades for a statistics course are provided in the data set below. Jaymes, a student in the class, scored 86 on both exams. Treat the given data sets as samples. Jaymes's wants to know which grade is more unusual, the midterm grade or the final exam grade. Use Use a TI-83, TI-83 Plus, or TI-84 calculator to calculate the z-scores corresponding to each grade. Round your answer to three decimal places.

Midterm 80, 78, 85, 82, 79, 79, 78, 86, 80, 84,

final 81, 88, 68, 69, 69, 81, 82, 86, 76, 71

To determine the t-statistic for determining the significance of the relationship between the midterm score and grade on the final exam, we need information as the sample size (n) and the degrees of freedom (df).

Without these values, we cannot calculate the exact t-statistic.

However, the t-statistic is typically calculated using the formula t = r * sqrt((n-2)/(1-r^2)), where r is the correlation coefficient and n is the sample size. In this case, the correlation coefficient is 0.30.

The t-statistic measures the strength and significance of the relationship between the variables. A larger t-value indicates a stronger relationship and a higher likelihood of statistical significance.

To determine whether the relationship is significant, we compare the calculated t-value to the critical value from the t-distribution for the given degrees of freedom.Without the specific values for sample size and degrees of freedom, we cannot provide the exact t-statistic in this case.

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Answer:

The correct answer is D

Step-by-step explanation:

-20 is your y-intercept and your graph will be increasing

The probability of landing heads exactly 11 times when a coin is tossed 20 times is option a) 0.1602

The repeated tossing of a coin follows a binomial distribution

P(X = x) = ⁿCₓ pˣ (1 - p)⁽ⁿ ⁻ ˣ⁾

where,

n = No. of times the experiment was repeated

x = random variable defining the number of "successes"

p = probability of "success"

Here

"succeess" is the event of landing a head.

n = 20

x = no. of times heads should show, i.e 11

p = probability of landing a head in a single toss

= 1/2

Hence, putting all this in the formula above we get

P(X = 11) = ²⁰C₁₁ 0.5¹¹ (1 - 0.5)⁽²⁰ ⁻ ¹¹⁾

= ²⁰C₁₁ 0.5¹¹ 0.5⁹

= ²⁰C₁₁ 0.5²⁰

= 20!/ 11! (20 - 11)! X 0.5²⁰

= a) 0.1602

Complete Question

An unbiased coin is tossed 20 times.

Find the probability that the coin lands heads exactly 11 times

a. 0.1602

b. 0.5731

c. 0.2941

d. 0.1527

e. 0.6374

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To show that the total charge contained in the charge distribution is Q, we integrate the charge density over the entire volume. The charge density is given by:

ρ(r) = ρ₀(1 - r/R) for r ≤ R,

ρ(r) = 0 for r > R,

where ρ₀ = 3Q/πR³.

To find the total charge, we integrate ρ(r) over the volume:

Q = ∫ρ(r) dV,

where dV represents the volume element.

Since the charge density is spherically symmetric, we can express dV as dV = 4πr² dr, where r is the radial distance.

The integral becomes:

Q = ∫₀ᴿ ρ₀(1 - r/R) * 4πr² dr.

Evaluating this integral gives:

Q = ρ₀ * 4π * [r³/3 - r⁴/(4R)] from 0 to R.

Simplifying further, we get:

Q = ρ₀ * 4π * [(R³/3) - (R⁴/4R)].

Simplifying the expression inside the parentheses:

Q = ρ₀ * 4π * [(4R³/12) - (R³/4)].

Simplifying once more:

Q = ρ₀ * π * (R³ - R³/3),

Q = ρ₀ * π * (2R³/3),

Q = (3Q/πR³) * π * (2R³/3),

Q = 2Q.

Therefore, the total charge contained in the charge distribution is Q.

To show that the electric field in the region r > R is identical to that created by a point charge Q at r = 0, we can use Gauss's law. Since the charge distribution is spherically symmetric, the electric field outside the distribution can be obtained by considering a Gaussian surface of radius r > R.

By Gauss's law, the electric field through a closed surface is given by:

∮E · dA = (1/ε₀) * Qenc,

where ε₀ is the permittivity of free space, Qenc is the enclosed charge, and the integral is taken over the closed surface.

Since the charge distribution is spherically symmetric, the enclosed charge within the Gaussian surface of radius r is Qenc = Q.

For the Gaussian surface outside the distribution, the electric field is radially directed, and its magnitude is constant on the surface. Hence, E · dA = E * 4πr².

Plugging these values into Gauss's law:

E * 4πr² = (1/ε₀) * Q,

Simplifying:

E = Q / (4πε₀r²).

This is the same expression as the electric field created by a point charge Q at the origin (r = 0).

To derive an expression for the electric field in the region r ≤ R, we can again use Gauss's law. This time we consider a Gaussian surface inside the charge distribution, such that the entire charge Q is enclosed.

The enclosed charge within the Gaussian surface of radius r ≤ R is Qenc = Q.

By Gauss's law, we have:

∮E · dA = (1/ε₀) * Qenc.

Since the charge distribution is spherically symmetric, the electric field is radially directed, and its magnitude is constant on the Gaussian surface. Hence, E · dA = E * 4πr².

Plugging these values into Gauss's law:

E * 4πr² = (1/ε₀) * Q.

Simplifying:

E = Q / (4πε₀r²).

This expression represents the electric field inside the charge distribution for r ≤ R.

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Answer:

so the bigger number is 20

Step-by-step explanation:

you would divide 3 into 60

The expression that represents the area of the square is 9x^2 + 72x + 144

The area of any shape is the amount of space on that shape.

The side length (l) of the square is given as:

\(l =3x + 12\)

The area of a square that has a side length, l is:

\(A = l^2\)

So, we have:

\(A =(3x + 12)^2\)

Expand

\(A =9x^2 + 72x + 144\)

Hence, the expression that represents the area of the square is 9x^2 + 72x + 144

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To calculate the reliability of the system, we need to consider the probabilities of each component functioning properly and apply the appropriate reliability model.

In this scenario, components A and B function properly with a probability of 0.95 each, while components C and D function properly with a probability of 0.85 each.

Assuming the components are independent, we can use the multiplication rule to calculate the overall reliability of the system. According to the multiplication rule, the reliability of the system is equal to the product of the reliabilities of its individual components.

Reliability of system = Reliability of A * Reliability of B * Reliability of C * Reliability of D

Reliability of system = 0.95 * 0.95 * 0.85 * 0.85

By multiplying the individual component reliabilities, we can determine the reliability of the entire system. The result will provide a measure of the probability that the system functions properly.

Please note that this calculation assumes the components are independent, meaning the failure or success of one component does not affect the others. Additionally, this calculation assumes a simple serial configuration, where all components must function properly for the system to work. Other system configurations may require different reliability models to be applied.

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The complement of 45° is the angle that when added to 45° forms a right angle (90° ).

The amount of tape left in metres is 0.75 metres.

Each group of students gets 10 newspapers and 2 meters of tape.  

This means the total length of tape for each group of student is as follows:

length of tape for each group = 2 metres

Sue's group decides to roll up each of their newspapers. Then, they tape each roll with 125 millimetres of tape.

Each roll of the 10 newspaper was taped with 125 mm tape.

Hence,

total taping = 125 × 10

total taping = 1250 mm

Let's convert from millimetres to metres.

Therefore,

1 mm = 0.001 m

1250 mm = ?

cross multiply

amount of taping done by Sue's group = 1.25 m

Therefore,

amount of meters of tape left = 2 - 1.25 = 0.75 metres

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Answer:

\(\frac{3}{2}\)

Step-by-step explanation:

The formula for slope is \(\frac{y_2-y_1}{x_2-x_1}\).

Using points (-2,2) and (-4,-1), this gives us:

\(\frac{-1-2}{-4-(-2)}\), which simplifies to \(\frac{3}{2}\).

Population parameters are used to estimate sample statistics, and this is true.

Population parameters are used to describe the characteristics of a population, such as the mean, median, and standard deviation, and are used to make inferences about a population. Sample statistics, on the other hand, are used to describe the characteristics of a sample of a population. For example, a sample statistic could be the mean of a sample of people's heights.

To estimate sample statistics, population parameters must first be known. For example, the sample mean can be estimated using the population mean. If the population means are unknown, then the sample means can be estimated using the sample mean.

In conclusion, population parameters are used to estimate sample statistics, and this is true. Population parameters provide useful information about a population that can be used to make inferences about a sample. Knowing the population parameters allows researchers to make more accurate estimates of sample statistics, which in turn can be used to make more reliable inferences about a population.

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It will take 20 minutes to dissipate the queue that resulted from blockage if

the freeway has the capacity of 4000 vph.

Mean service rate(M) = 4000vph

Mean arrival rate(λ)  = 3000vph

Block time duration of queue (r) = 5min

Time taken to dissipate the queue =  t

t = (M * r)/(M-λ)

Substitute  the given values

t  =  (4000*5)/(4000-3000)

t = 20000/1000

t = 20minutes.

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The value of x in the heptagon shown in the diagram is: 110°.

A heptagon can be described as a polygon that has 7 sides and 7 interior angles. Where n is the number of sides of an n-sided polygon, the formula for finding the total sum of the polygon is:

(n - 2)180.

Therefore, the sum of the interior angles of the heptagon = (5 - 2)180 = 900°.

This means that all the angles in the heptagon shown in the diagram would be equal to 900°. Therefore:

135 + 125 + 105 + 140 + 135 + 150 + x = 900

790 + x = 900

x = 900 - 790

x = 110°.

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Answer:

Set up trig ratio using tangent.

Tan theta = opp/adj

Tan theta = 500/800

Tan^-1 (500/800) = 32 degrees

Answer:

2s + 5a > 1000

s + a < 500

Key:

s represents a sold student ticket

a represents a sold adult ticket

You can rent time on computers at the local copy center for 35 minutes with $25.

To find out how much time you can rent for $25 at the local copy center, follow these steps:

1. Subtract the $10 setup charge from the total amount you have: $25 - $10 = $15.
2. Now you have $15 left for renting time on the computers. Since it costs $2 for every 5 minutes, you need to find out how many 5-minute increments can be covered by $15.
3. Divide the remaining amount by the cost per 5-minute increment: $15 / $2 = 7.5. Since you can't have half an increment, round down to 7.
4. Multiply the number of 5-minute increments by the time per increment: 7 * 5 = 35 minutes.

So, you can rent time on computers at the local copy center for 35 minutes with $25.

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He have left to memorize = 16  words.

a percentage that represents a tenth of a quantity. One percent, denoted by the symbol 1%, is equal to one hundredth of something; hence, 100 percent denotes the full thing, and 200 percent designates twice the amount specified. percentage.

Percentage derives from the Latin word per centum, which means "by the hundred." The Latin expression was adopted by English in the sixteenth century. In the future, it was shortened to % with a final period. The two sections were eventually combined, the period was omitted, and the result was the contemporary one-word form %.

20 words should be committed to memory.

Has completed 4/5 of the portion.

The number of words he has memorized =

= 20 * 4/5,

which equals 16.

Thus,

The total number of words Ivan has memorized up to this point is sixteen (16), as he has only learnt four of the total (five-fifths), or five sections of four words each. 16 (sixteen) is the answer, therefore.

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listening to the audio and comparing the descriptions of the houses will help determine which house is the biggest. Analyze details related to size, square footage, number of floors, rooms, or yard size. After careful consideration, provide a clear answer indicating which house is the biggest.

The question asks which house is the biggest based on the audio provided. To answer this question, we need to listen to the audio and analyze the information provided.

First, listen to the audio and pay attention to any details mentioned about the houses. Look for information related to their size or any comparisons made.

Next, compare the descriptions of the houses to determine which one is the biggest. Listen for clues such as mentions of square footage, number of floors, or any explicit statements about size.

Consider any additional information that may be relevant.

For example, if one house is described as having more rooms or a larger yard, this could indicate that it is also the biggest.

After carefully analyzing the information in the audio, determine which house is the biggest and provide a clear answer. You may need to listen to the audio multiple times or take notes to ensure accuracy.

Remember to provide a well-structured response, including an introduction, step-by-step explanation, and a conclusion. Use simple language and avoid irrelevant details.

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