Please help me 35 points but please do not abuse this and answer incorrectly. Will name brainliest Thank you :)

The required 99% confidence interval representing the true proportion of all college students owns a car lies between the range of 0.3253 and 0.4283.

Sample size n = 319

Students who own a car represents the number of successes x = 120  

Confidence interval =  99%

True proportion p of all college students who own a car.

The formula for the confidence interval for a population proportion is,

p1± zα/2 × √(p1(1-p1)/n)

where p1 is the sample proportion,

zα/2 is the z-score corresponding to the desired level of confidence interval 99%.

First, we find the sample proportion,

p1 = x/n

    = 120/319

    ≈ 0.3768

z-score corresponding to a 99% confidence level.

This is a two-tailed test,

Split the alpha level evenly between the two tails.

α/2 = (1 - 0.99) / 2

     = 0.005,

The z-score that encloses 0.005 in each tail of the standard normal distribution.

Using a standard normal table ,

zα/2 = 2.576.

Substituting the values into the formula, we get,

p1 ± zα/2 × √(p1(1-p1)/n)

= 0.3768 ± 2.576×√(0.3768(1-0.3768)/319)

= 0.3768 ± 0.0515

99% confidence interval for the true proportion p of all college students who own a car is,

0.3253 ≤ p ≤ 0.4283

Therefore, 99% confidence interval that the true proportion of all college students who own a car lies between 0.3253 and 0.4283.

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Answer:

1.96

Step-by-step explanation:

Isabel can go on a maximum of 29 rides if she wants to spend less than $15 on rides, as each ride costs $0.50.

Let's assume Isabel goes on "x" rides, then the amount she spends on rides would be $0.50 multiplied by the number of rides, which gives:

Amount spent on rides = $0.50 * x

We know that Isabel wants to spend less than $15 on rides, so we can set up an inequality:

Amount spent on rides < $15

$0.50 * x < $15

To solve for x, we can divide both sides by $0.50:

x < $15 / $0.50

x < 30

So Isabel can go on a maximum of 29 rides if she wants to spend less than $15 on rides.

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Complete question:

A carnival charges $0. 50 per ride. Isabel wants to spend less than $15 on rides. How many rides can she go on if she wants to spend less than $15?

The probability of tossing a head and then rolling a number greater than 5 is 3/16.

To find the probability of tossing a head and then rolling a number greater than 5, we need to calculate the individual probabilities and then multiply them together.

Probability of tossing a head:

Since a fair coin has two equally likely outcomes (head or tail), the probability of tossing a head is 1/2.

Probability of rolling a number greater than 5:

An eight-sided die has eight equally likely outcomes (numbers 1 through 8). Out of these eight outcomes, there are three numbers greater than 5 (6, 7, and 8). Therefore, the probability of rolling a number greater than 5 is 3/8.

To find the probability of both events occurring, we multiply the probabilities:

Probability of tossing a head and rolling a number greater than 5 = Probability of tossing a head × Probability of rolling a number greater than 5

= (1/2) × (3/8)

= 3/16

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The significance level for each comparison in the Bonferroni procedure should be set at approximately .017 to maintain an overall significance level of .05 for three comparisons.

The Bonferroni procedure is a statistical method used to adjust the significance level when conducting multiple comparisons. It is important to plan the comparisons before the study is conducted to avoid bias and ensure the validity of the results.

In the case of maintaining an overall significance level of .05 for three comparisons, the significance level for each individual comparison should be set at .05 divided by the number of comparisons. In this case, there are three comparisons, so the adjusted significance level for each comparison would be .05 divided by 3, which is approximately .017.

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The equation to find dimensions of the actualfield is y= 5/2x.

We have,

2 inch = 5 feet

So, the equation can be

y= 5/2 x

Now, width = 10 inch

So, y= 5/2(10)

y= 25 feet

and, length = 20 inch

So, y= 5/2(20)

y= 50 feet

So, the Area of field is

= 10 x 20

= 20 inch²

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Answer:

180 degrees

Step-by-step explanation:

All interior angles are less than or equal to 180 degrees in a convex polygon.

(I might be wrong. Sorry if I am. Don't get mad at me)

Hope I helped :)

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The probability that the sample proportion of surgeons will differ from the population proportion by more than 3% is approximately 0.0455, or 4.55% (rounded to two decimal places).

To find the probability, we need to use the concept of sampling distribution. The standard deviation of the sampling distribution is given by the formula:

σ = sqrt(p * (1-p) / n),

where p is the population proportion (0.45) and n is the sample size (662).

Substituting the values, we get:

σ = sqrt(0.45 * (1-0.45) / 662) = 0.0177 (approx.)

To find the probability that the sample proportion of surgeons will differ from the population proportion by more than 3%, we need to calculate the z-score for a difference of 3%. The z-score formula is:

z = (x - μ) / σ,

where x is the difference in proportions (0.03), μ is the mean difference (0), and σ is the standard deviation of the sampling distribution (0.0177).

Substituting the values, we get:

z = (0.03 - 0) / 0.0177 = 1.6949 (approx.)

We then need to find the area under the standard normal distribution curve to the right of this z-score. Looking up the z-score in a standard normal distribution table, we find that the area is approximately 0.0455.

Therefore, the probability that the sample proportion of surgeons will differ from the population proportion by more than 3% is approximately 0.0455, or 4.55% (rounded to two decimal places).

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Answer:

25π

Step-by-step explanation:

The area of a circle is calculated with the following formula :

π r²

r(radius) is given as 5 so the area is

π*5^2 = 25π

Answer:

x = 6

Step-by-step explanation:

7x = 42

To solve the equation, divide each side by 7.

7x/7 = 42/7

x = 6

Answer:

a^2 - 3

Step-by-step explanation:

(3a^2 + 1) - (4 + 2a^2)

3a^2 + 1 - 4 - 2a^2

a^2 - 3

The general solution for the differential equation y^(4) + 8y" – 9y = 0 is y(x) = C1 * e^(1x) + C2 * e^(-1x) + C3 * e^(3ix) + C4 * e^(-3ix).

To find a general solution for the differential equation y^(4) + 8y" - 9y = 0, we will use the following terms: characteristic equation, auxiliary equation, and general solution.

Step 1: Write the characteristic (auxiliary) equation.
Replace the derivatives with powers of 'r' and set the equation equal to zero:
r^4 + 8r^2 - 9 = 0.

Step 2: Solve the characteristic equation.
This is a quadratic equation in r^2. Let's substitute x = r^2:
x^2 + 8x - 9 = 0.

Now, solve for x:
(x - 1)(x + 9) = 0.

The solutions for x are x1 = 1 and x2 = -9.

Step 3: Find the solutions for 'r'.
Since x = r^2, we can find the solutions for 'r':
r1 = sqrt(1) = 1,
r2 = -sqrt(1) = -1,
r3 = sqrt(-9) = 3i,
r4 = -sqrt(-9) = -3i.

Step 4: Write the general solution.
Now, using the values of 'r' that we found, we can write the general solution:
y(x) = C1 * e^(1x) + C2 * e^(-1x) + C3 * e^(3ix) + C4 * e^(-3ix).

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5/8 is greater then 7/12.

Step-by-step explanation:

Find the least common denominator or LCM of the two denominators:

LCM of 8 and 12 is 24

For the 1st fraction, since 8 × 3 = 24,

5/8=5x3/8x3=15/24

Likewise, for the 2nd fraction, since 12 × 2 = 24,

7/12= 7x2/12x2=14/24

Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction

15/24>14/24 or 5/8>7/12

Part A: Rebecca's credit card balance can be calculated using the equation x = (51 - 1) 0.02 if her finance charge is $51.

Part B: By making the purchase on the final day of the billing cycle rather than the first day, Rebecca will be able to avoid paying $27 in finance charges.

How do equations work?

A mathematical statement proving the equality of values between two or more mathematical expressions is called an equation.

Equation symbols (=) are used to represent equations.

A finance charge is what?

The interest and other fees levied on credit cards are included in a finance charge.

Typically, the finance charge is based on a stated APR (annual percentage rate).

The month's billing cycle lasts for 28 days.

Balance at current starting = x.

APR = 24%, or annual percentage rate.

The monthly percentage rate (MPR) equals 2% (24% divided by 12).

The final day's purchase cost $1,400.

$51 is the total finance fee for the month.

($1,400 x 2% x 1/28) = $1 finance fee for the last-minute purchase.

$50 ($51 - $1) serves as the initial balance's finance charge.

The starting balance at this time is x = $2,500 ($50 x 2%).

Current Beginning Balance Equation: x = 51 - 1 0.02

($1,400 x 2%) Equals $28 in total loan charges for the last-minute purchase.

Finance charge savings from buying on the last day equals $27 ($28 - $1).

By buying the $1,400 gift for her friend on the last day of the billing cycle rather than the first, Rebecca can avoid paying $27 in finance charges.

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Answer:

if you are required to find the equation of a straight line use the formula y-y1= m (x-x1)

y+2=-3(x-1)

y+2=-3x+3

y= -3x+3-2

y -3x+1

hope this helps

Answer:

y = -3x + 1

Step-by-step explanation:

(y -(-2)) = -3(x-1)

y+ 2 = -3x+ 3

y = -3x + 1

Answer:

x = 10

Step-by-step explanation:

x-sqrt(2x+5) = 5

2x+5 = 25-10x+x^2

x = 10

Hope this helped!

Answer:

x = 5

Step-by-step explanation:

x - 5 = \(\sqrt{2x+5}\) ( x > 5)

(x - 5)² = ( \(\sqrt{2x+5}\) )²

x² - 10x + 25 = 2x + 5

x² - 12x + 20 = 0

(x - 10)(x - 2) = 0

\(x_{1}\) = 10

\(x_{2}\) = 2 strange root, does not satisfy the condition x > 5 ( 2 - \(\sqrt{2*2+5}\) ≠ 5 )

10 - \(\sqrt{2*10+5}\) = 5

10 - 5 = 5

5 = 5

The respective names of the point of concurrency is:

1. Circumcenter

2. Incenter.

3. Centroid

4. Orthocenter

Point of concurrency:

The point of concurrency is a point where three or more lines or rays intersect with each other.

Circumcenter:

The circumcenter is the point of concurrency of the perpendicular bisectors of all the sides of a triangle.

Incenter:

The incenter is the point of concurrency of the angle bisectors of all the interior angles of the triangle.

Centroid:

The point where three medians of the triangle meet is known as the centroid.

Orthocenter:

The point where three altitudes of the triangle meet is known as the orthocenter.

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The radius of the cylinder that produces the minimum surface area is 1.62 cm

For given question,

A solid is formed by adjoining two hemispheres to the ends of a right circular cylinder.

We have the formulas for the volume of the sphere and the cylinder:

Vs = (4/3) × π × r³

Vc = π × h × r²

where, Vs is the volume of the sphere

Vc is the volume of the cylinder

Thus the total volume of the solid would be,

(4/3) × π × r³ + π × h × r² = 18

Now, the formula for the surface area of the cylinder and sphere are:

As = 4 × π × r²

Ac = 2 × π × r × h + 2 × π × r²

Using this equation for the total surface area of the solid, we can see that as "h" increases, so will the surface area.

Therefore, the smallest surface area will occur at h = 0.

Thus:

⇒ (4/3) × π × r³ + π × 0 × r² = 18

⇒ (4/3) × π × r³ = 18

⇒  r³ = 4.28

⇒ r = 1.62

Therefore, the radius of the cylinder that produces the minimum surface area is 1.62 cm

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We can rewrite m^91 + 2m^90 as (m+2m^90)^2 - m^90.

We are looking for values of m such that m+2m^90 is an integer.

For m = 30, m+2m^90 = 30 + 230^90 = 30 + 2(30^90) = 60, which is an integer.

For m = 24, m+2m^90 = 24 + 224^90 = 24 + 2(24^90) = 48, which is also an integer.

For the other values of m, m+2m^90 is not an integer. Therefore, the only values of m for which m^91 + 2m^90 is the square of an integer are m = 24 and m = 30.

1888 ounces bags of dried dill can be made

Addition: Addition is one of the four basic operations of arithmetic, the other three being subtraction, multiplication and division. The addition of two whole numbers results in the total amount or sum of those values combined

let us consider that, x = dried cilantro , y = dried dill

so by the given information we can write addition of dried cilantro an dried dill is equal to 253

x + y = 253

and also said that container of dried cilantro is 17 pounds heavier than that of container of dried dill so we can write, x = y + 17

substitute the value of x in the 1st equation

y + 17 + y = 253

2y + 17 = 253

2y = 253 - 17

2y = 236

y = 236/2

y = 118

so there is 118 pounds of

and it will be sold in 1 ounce bags

we know, 1 pound = 16 ounces

so 118 pounds = (118×16) = 1888 ounces

which will make 1888 ounces bags

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Answer:

You may make dried dill in 1888 ounce bags.

Step-by-step explanation:

What does addition mean?

One of the four fundamental operations in mathematics is addition. The other three are subtraction, multiplication, and division. When two whole numbers are added, the sum or total of those values is obtained.

Consider that x represents dried cilantro and y represents dry dill.

So, using the information provided, we can say that adding dry cilantro and dried dill equals 253.

x + y = 253

and added that a container of dried cilantro weighs 17 pounds more than a container of dried dill, leading us to derive the equation x = y + 17

substitute the value of x in the 1st equation

y + 17 + y = 253

2y + 17 = 253

2y = 253 - 17

2y = 236

y = 236/2

y = 118

so there is 118 pounds of

and it will be sold in 1 ounce bags

we know, 1 pound = 16 ounces

so 118 pounds = (118×16) = 1888 ounces

which will make 1888 ounces bags.

Answer: 2:5

Step-by-step explanation:

think of the ":" as the equivalent of to (ex. 2 to 5) 2 frogs to 5 turtles.

The lateral surface area of a cylinder is given by the formula:

Lateral surface area = 2πrh

where r is the radius of the cylinder and h is the height of the cylinder.

In this case, the height of the cylinder is 8 ft and the radius of the cylinder is 4 ft (half of the diameter). So, we can plug in these values to get:

Lateral surface area = 2π(4 ft)(8 ft)

Lateral surface area = 64π square feet

Rounding to the nearest tenth, we get:

Lateral surface area ≈ 201.1 square feet (rounded to one decimal place)

Therefore, the lateral surface area of the cylinder is approximately 201.1 square feet.

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The answer is that the radical data described are qualitative.

An answer is that the types of grapes used to make wine are not numerical values that can be measured or counted. Instead, they are categories or attributes that describe the characteristics of the wine.

It could be further explained that qualitative data refers to non-numerical data that describes qualities or characteristics, while quantitative data refers to numerical data that can be measured or counted. Examples of qualitative data include colors, textures, and opinions, while examples of quantitative data include measurements such as weight, height, and temperature. In the case of different types of grapes used to make wine, the data falls under the category of qualitative data because it describes the attributes of the wine rather than providing a numerical measurement.

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b =(17,6x 8,9):19,7=7,95

Answer:

3 1/5

Step-by-step explanation:

you divide 16 by 5 (which is 3 with one left over)

3 is your whole number and because there is one left over, that becomes your new neumerator, and the denominator always says the same

The values that represent the possible distance, d, in miles, between Lincoln, NE, and the third city are given as follows:

300 < d < 699.

A set of measurements can represent a triangle if the sum of the two smaller measurements is greater than the greater measures.

The measurements for this problem are given as follows:

Then if 500 miles is the largest distance, we have that:

x can be between 300 and 500.

If x is the largest distance, we have that:

x can be between 501 and 699.

Then the range of possible distances is given as follows:

300 < d < 699.

(which are the distances for each case).

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Answer:

see picture

Step-by-step explanation:

Step-by-step explanation:

the option that you've chose.

it's the correct answer!

have a good day :)

Answer:

The answer is D. number 4.

Answer:

1) The probability that at least 2 support Green is 1 minus the probability that 0 people or 1 person supports Green

2) The probability that exactly 1 person supports Green

Step-by-step explanation:

The converse of the statement "If a figure is a square, its diagonals divide it into isosceles triangles" would be:

"If a figure's diagonals divide it into isosceles triangles, then the figure is a square."

The converse statement is not necessarily true. While it is true that in a square, the diagonals divide it into isosceles triangles, the converse does not hold. There are other shapes, such as rectangles and rhombuses, whose diagonals also divide them into isosceles triangles, but they are not squares. Therefore, the converse of the statement is not always true.

Therefore, the converse of the given statement is not true. The existence of diagonals dividing a figure into isosceles triangles does not guarantee that the figure is a square. It is possible for other shapes to exhibit this property as well.

In conclusion, the converse statement does not hold for all figures. It is important to note that the converse of a true statement is not always true, and separate analysis is required to determine the validity of the converse in specific cases.

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Given:

There are given the two numbers 36 and 487.

Explanation;

According to the question:

We need to find the quotient and remainder. when we divide 487 by 36.

So,

From the concept of quotient:

The quotient is defined for the final results when we divide one number from another number.

Then,

Then,

In the above expression:

Final answer:

Hence, the values of quotient and remainder is shown below: