A parks and recreational board in Birch County is interested in estimating the proportion of its residents in favor of having more public parks in that county. A random sample of Birch County residents was selected. All the selected residents were asked, "Are you in favor of having more public parks in your county?" A 98% confidence interval for the proportion of residents in favor of having more public parks in that county was calculated to be 0.54 ± 0.03. Which of the following statements is correct?
a. At the 98% confidence level, the majority of area residents is in favor of having more public parks in that county.
b. At the 98% confidence level, the estimate of 0.54 is within 0.03 of the true proportion of county residents in favor of having more public parks in that county.
c. In repeated sampling, 98% of sample proportions will fall in the interval (0.51, 0.57).
d. In repeated sampling, the true proportion of county residents in favor of having more public parks in that county will fall in the interval (0.51, 0.57).
e. In repeated sampling, 98% of the time the true proportion of county residents in favor of having more public parks in that county will be equal to 0.54.

Answer:

D) Undefined

Step-by-step explanation:

[tex] \tan \: \bigg( \frac{\pi}{2} \bigg) = \infty \: or \: undefined\\ [/tex]

Answer:

Coldslaw

Step-by-step explanation:

[tex]3 \div 10 \times 2 \div 9 = 1 \div 15[/tex]

the probability of drawing one dime is 3/10. if you don't replace the coin, there are only 9 left, 2 of which are dimes. so multiple the to probabilities and there you have it

Answer:

0.09

Step-by-step explanation:

EDITED

Answer: x = 73.

Step-by-step explanation:

Angles on the same side of a line add up to 180.

As the angles 110 and (x-3) are on the same side of the line, you can solve for x using this equation:

[tex]180 = 110 + (x-3)\\\\70 = (x-3)\\73 = x[/tex]

Answer:

theta = 24.4 degrees

Step-by-step explanation:

This is a right triangle.

sin theta = opp/ hyp

sin theta = 33/80

Take the inverse of each side

sin^-1 sin(theta) = sin^-1 (33/80)

theta =24.36197794

To the nearest tenth

theta = 24.4 degrees

Answer:

  h'(x) = (-3x^3 +2x)/e^(3x)

Step-by-step explanation:

The formula for the derivative of a quotient is ...

  (u/v)' = (vu' -uv')/v²

Using u = (x^3 +x^2) and v = e^(3x), this becomes ...

  h'(x) = (e^(3x)(3x^2 +2x) -(x^3 +x^2)(3)(e^(3x))/e^(6x)

  h'(x) = (-3x^3 +2x)/e^(3x)

Answer: 113.04 cm³

Step-by-step explanation: To find the volume of a sphere, start with the formula for the volume of a sphere which is shown below.

[tex]V = \frac{4}{3} \pi r^{3}[/tex]

Here, we are given that our sphere has a radius of 3 centimeters.

So plugging into the formula, we have [tex](\frac{4}{3})(\pi)(3 cm)^{3}[/tex].

Start by simplifying the exponent.

(3 cm)³ is equal to 3 centimeters · 3 centimeters ·

3 centimeters or 27 cm³.

So we have [tex](\frac{4}{3})(27 cm^{3})(\pi)[/tex].

Notice that we can cross-cancel 3 and 27 to 1 and 9.

So we have (4)(9 cm³) which is equal to 36 cm³.

So we have 36π cm³.

So the volume of the sphere is 36π cm³.

Remember that π is approximately equal to 22/7 or 3.14 so we can estimate the value of the volume by plugging in 3.14 for π.

So we have (36)(3.14) which is equal to 113.04 which means

that the volume of approximately equal to 113.04 cm³.

x=7th root of 30=1.6256

Justification=a process that is both individual and social undetermined in developing

And you have to subtract in the math

Answer:

1.  Subtraction property of equality; multiplication property of equality; division property of equality

For this question, you simply have to state the operation that is occurring.

2.  To solve this, simplify the equation so that it is in y=mx+b form.  From the equation, find two points so that you can plot a line.

4x + y = 6x - 1

y = 2x - 1

-1 is the y-intercept.  This means that you can place a point at (0,-1) which is the -1 on the y (vertical) axis.

For the second point, you can plug any number for the x-value that will stay within the given graph.  I am going to use 2.  

y = 2(2) - 1

y = 4 - 1

y = 3

This gives you the point (2, 3).  Plot the points (0, -1) and (2, 3).  You will be able to draw a line from that.

3.(a)  1200 represents the population of bacteria at the beginning, or when t is equal to 0.

(b)  1.8 represents the factor by which the bacteria increases each hour.  

(c)  1000 represents the beginning population.  The difference means that the total amount of bacteria will increase more slowly than the population that began with 1200.

Answer:

1. x=10,-10

2. x = 5

x = -5

3. x=-5

4. x ∈ {4,- 3/2}

Step-by-step explanation:

Answer:

B

Step-by-step explanation:

the statement is correct

Answer:

b

Step-by-step explanation:

Answer:

1/36

Step-by-step explanation:

This is a simple use of the multiplication rule of probability, which is:

"The probability that Events A and B both occur is equal to the probability that Event A occurs times the probability that Event B occurs, given that A has occurred"

Using this rule, we square 1/6 to get 1/36. In other forms:

Decimal:0.02777777777(Round to whatever decimal place you need)

Percentage: 2.778%(I don't see you needing any more places)

Hope my answer helped you!

To find the number of white flowers, we subtract the total number of red flowers (64) from the total number of flowers (208), resulting in 144 white flowers.

The student's question involves calculating the number of white flowers in a flower bed given the total number of flowers and the number of rows of red flowers.

There are 26 rows of flowers in total, and each row contains 8 flowers. If 8 rows consist of red flowers, we can calculate the number of white flowers by subtracting the red flowers from the total number of flowers.

Here are the steps we'll take to solve the problem:

Multiply the total number of rows by the number of flowers per row to find the total number of flowers.

Total flowers = 26 rows * 8 flowers/row = 208 flowers

Multiply the number of rows of red flowers by the number of flowers per row to find the total number of red flowers.

Total red flowers = 8 rows * 8 flowers/row = 64 flowers

Subtract the number of red flowers from the total number of flowers to find the number of white flowers.

Total white flowers = Total flowers - Total red flowers = 208 flowers - 64 flowers = 144 white flowers.

Answer:

13²-12²

169-144

=25

√25

=5

The 2 shortest sides are 5cm and 12cm

Let the sides of the triangles be a, b and c. According to Pythagoras theorem;

[tex]c^2=a^2+b^2[/tex] where:

a is the hypotenuse (longest side)

For triangle A:

c = 13

b = 12

Get "a"

[tex]13^2=12^2+b^2\\169=144+b^2\\b^2=169-144\\b^2=25\\b=5cm[/tex]

Similarly for triangle B:

[tex]c^2=5^2+12^2\\c^2=25+144\\c^2=169\\c^2=\sqrt{169} \\b=13cm[/tex]

We can see that the two shorter sides have the same length which is 5cm

Since all the sides of the triangle are the same, hence the two triangles are congruent.

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Answer:

168 seconds

Step-by-step explanation:

To find out when they coincide again, the least common multiple between both numbers must be calculated:

24 14 | 2

12   7 | 2

6    7 | 2

3    7 | 3

1     7 | 7

1     1

Therefore the least common multiple is:

2 * 2 * 2 * 3 * 7 = 168

This means that they will coincide again at 168 seconds, when the first musician has struck 7 times (168/24) and the other 12 times (168/14)

The parabola is passing through (0, 0) and (9, 0). Then the correct option is C.

It's the locus of a moving point that keeps the same distance between a stationary point and a specified line. The focus is a non-movable point, while the directrix is a non-movable line.

The equation of the parabola is given below.

y = (3/2)x² - 6x

Then the factor of the equation will be

y = 3x (x / 2 - 3)

Then the zeroes of the function will be

y = 0

x = 0, 9

Then the correct option is C.

The graph is given below.

More about the parabola link is given below.

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Answer: (1,9) I just did a test with that question

Answer:

divide 120 by 800 should give you the answer 15/100

Step-by-step explanation:

Answer:

15

Step-by-step explanation:

i-ready okurrr

The sales tax charged on a $8,000 vehicle would be $480.

The percentage means the required value out of 100.

It is calculated by dividing the required value by the total value and multiplying it by 100.

The percentage change is also calculated using the same method.

In percentage change we find the difference between the values given.

Example:

Required percentage value = a

total value = b

Percentage = a/b x 100

We have,

The sales tax rate is 6%, which means for every dollar spent on the vehicle, 6 cents will be charged for sales tax.

To find the amount of sales tax charged on $8,000 vehicle, we can multiply the price of the vehicle by the sales tax rate as a decimal.

Sales tax = $8,000 x 0.06

Sales tax = $480

Therefore,

The sales tax charged on a $8,000 vehicle would be $480.

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Answer:

m = i  or m = -i   for  i = root(-1)

Step-by-step explanation:

m^2+7=6

m^2 =  6 - 7

m^2 = -1

m = i   or  m = -i

for i = imaginary number

To determine which scatter plot displays data most effectively, it is crucial to ensure that the explanatory variable is positioned on the x-axis and that the plot uses a scale that makes it easy to identify trends without obscuring data points. The best scatter plot will clearly demonstrate the relationship between two variables and indicate potential patterns that may suggest a correlation or relationship worthy of linear regression analysis.

The question revolves around determining which scatter plot displays data most effectively, adhering to the guidelines of using a reasonable scale on both axes and positioning the explanatory variable on the x-axis. An essential aspect of a scatter plot is that it should clearly indicate the relationship between two variables, allowing for pattern identification and assessment of potential for linear regression.

By convention, data visualization practices dictate that the x-axis should represent the independent variable (explanatory variable), which is the variable that is presumed to cause changes in another variable. The y-axis should depict the dependent variable, whose changes are investigated to be a result or effect of the independent variable. A good scatter plot employs a scale that accurately encompasses all data points without distorting the visual perception of their distribution, making it easier for viewers to identify trends, clusters, or patterns that might suggest a correlation or relationship worthy of linear regression analysis.

In selecting the best scatter plot, one must also consider the clarity of the plot in demonstrating data distribution and potential correlations. The plot must be fine-tuned to avoid too large or too small scales, which can obscure data trends or require unnecessarily large graphical space. Additionally, attention should be paid to ensuring the number of significant figures on the axis values does not exceed those in the measurements. The ideal scatter plot employs a scale and plotting strategy that maximizes visualization efficiency, facilitating easy analysis and interpretation of the data's underlying patterns.

Graph A has explantory variable on x axis and response variable on y- axis also their scale is reasonable here.

How to determine the x and y axes of scatter diagram.

Scatter diagram: graph showing data points in 2D, revealing relationships between variables; useful for identifying patterns and correlations.

Here, Age act as explanatory variable and internets use as response variable ,because how much time they spend on internet it directly dependent on their age .

for a good scatter plot, the variable that might be considered an explanatory variable is plotted on the x axis, and the response variable is plotted on the y axis and scale should be reasonable .

Graph A has explanatory variable on x axis and response variable on y- axis also their scale is reasonable here.

Complete question

Nate wants to predict how long people use the internet each day based on their age. The table below shows the age (in years) and average daily internet usage (in hours) for a sample of people.

All of the scatter plots below display the data correctly, but which one of them displays the data best?

By convention, a good scatter plot uses a reasonable scale on both axes and puts the explanatory variable on the xxx-axis.

Answer:

4. 1 over the 9 to the power of 5

Step-by-step explanation:

When you divide exponents with the same bases, you essentially subtract the exponents. So 9^2 / 9^7 = 9^-5. To change to a positive exponent, take the reciprocal. 9^-5 = 1 / 9^5

Answer:

D = 2.45 mm

Step-by-step explanation:

D = C ÷ π

D = 7.7 ÷ 3.14

D = 2.4509

D = 2.45 mm

To find the length of the diameter of a circle when the circumference is given, divide the circumference by π.

To find the diameter of a circle when only the circumference is given, divide the circumference by π (approximately 3.1416). The formula to find the diameter is:

Diameter = Circumference / π

In this case, the circumference is 7.7mm. So, the diameter would be:

Diameter = 7.7mm / 3.1416 ≈ 2.448mm

Therefore, the length of the diameter, rounded to 3 significant figures, is approximately 2.45mm.

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Answer:

-10x+3/2 and -2(5x)+(-2)(-3/4)

Explanation:

The correct statements are Negative 2 (5 x) + (negative 2) (negative three-fourths)&Negative 10 x + three-halves)

An algebraic expression in mathematics is an expression which is made up of variables and constants, along with algebraic operations (addition, subtraction, etc.). Expressions are made up of terms.

Given here: The statement "Negative 2 (5 x minus three-fourths)"

Thus translating it into an expression we get

-2(5x-3/4)

=-2×5x+(-2×-3/4)

=-10x+3/2 ( using the distributive property of multiplication)

Hence, The correct statements are Negative 2 (5 x) + (negative 2) (negative three-fourths)&Negative 10 x + three-halves

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Answer:

0.9826 = 98.26% probability that a seat will be available for every person holding a reservation and planning to fly.

Step-by-step explanation:

Binomial probability distribution

Probability of exactly x sucesses on n repeated trials, with p probability.

Can be approximated to a normal distribution, using the expected value and the standard deviation.

The expected value of the binomial distribution is:

[tex]E(X) = np[/tex]

The standard deviation of the binomial distribution is:

[tex]\sqrt{V(X)} = \sqrt{np(1-p)}[/tex]

Normal probability distribution

Problems of normally distributed samples can be solved using the z-score formula.

In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the zscore of a measure X is given by:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.

When we are approximating a binomial distribution to a normal one, we have that [tex]\mu = E(X)[/tex], [tex]\sigma = \sqrt{V(X)}[/tex].

In this problem, we have that:

6% of the people who make reservations on a certain flight do not show up for the flight. So 100-6 = 94% show up, which means that [tex]p = 0.94[/tex]

190 tickets, so [tex]n = 190[/tex]

So

[tex]\mu = E(X) = np = 190*0.94 = 178.6[/tex]

[tex]\sigma = \sqrt{V(X)} = \sqrt{np(1-p)} = \sqrt{190*0.94*0.06} = 3.27[/tex]

Find the probability that a seat will be available for every person holding a reservation and planning to fly.

At most 185 people show up.

Using continuity correction, we have to find [tex]P(X \leq 185 + 0.5) = P(X \leq 185.5)[/tex], which is the pvalue of Z when X = 185.5. So

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

[tex]Z = \frac{185.5 - 178.6}{3.27}[/tex]

[tex]Z = 2.11[/tex]

[tex]Z = 2.11[/tex] has a pvalue of 0.9826

0.9826 = 98.26% probability that a seat will be available for every person holding a reservation and planning to fly.

Answer:

Second time: 8 tortillas

Area of tortillas in the first batch: 160.8 in2

Step-by-step explanation:

Let's say that the amount of dough to make a tortilla is x.

So, in the first time, the amount of dough used is 10 * x = 10x

Then, she made the tortillas 25% larger, so the amount of dough used for each tortilla now is 1.25x

So, using the same amount of dough (10x), the amount of tortillas she can make is:

10x / 1.25x = 8 tortillas

If the area of the larger tortilla is 201 in2, and this tortilla is 25% larger than the ones in the first batch, to find the area of the inicial tortillas we just need to divide this new area by 1.25:

Area of first tortillas = 201 / 1.25 = 160.8 in2

Answer: 81/16

Step-by-step explanation:

Since it's a negative exponent, you flip the fraction and then the exponent becomes positive then solve from there. so it would go from

2/3^-4

3/2^4

81/16

Answer:

dependent

Step-by-step explanation: