it is common knowledge that a fair penny will land heads up 50% of the time and tails up 50% of the time. it is very unlikely for a penny to land on its edge when flipped, so a probability of 0 is assigned to this outcome. a curious student suspects that 5 pennies glued together will land on their edge 50% of the time. to investigate this claim, the student securely glues together 5 pennies and flips the penny stack 100 times. of the 100 flips, the penny stack lands on its edge 46 times. the student would like to know if the data provide convincing evidence that the true proportion of flips for which the penny stack will land on its edge differs from 0.5. are the conditions for inference met for conducting a z-test for one proportion? yes, the random, 10%, and large counts conditions are all met. no, the random condition is not met. no, the 10% condition is not met. no, the large counts condition is not met.

The correct answer is  survey data or research findings, it is not possible to provide the proportion of 18- to 34-year-old and 35- to 44-year-old respondents who are more likely to buy when a product is made in their country.

To determine the proportion of 18- to 34-year-old and 35- to 44-year-old respondents who are more likely to buy when a product is made in their country, we would need data from a survey or study that includes the responses of individuals within these age groups. Without specific data, it is not possible to provide an accurate proportion for each age group.

To determine the proportion of 18- to 34-year-old and 35- to 44-year-old respondents who are more likely to buy when a product is made in their country, we would need access to survey data or research studies that have collected information on consumer preferences and purchasing behavior within these age groups.

Without access to specific survey data or research findings, it is not possible to provide an accurate proportion for each age group. The proportions may vary depending on the specific demographics, cultural factors, and economic considerations of the target population.

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Answer:

$15.60

Step-by-step explanation:

We can solve this problem easily by adding up Miguel's expenses, and then subtracting them from the amount he started with. Be careful, as he pays $4, not $2, in total for bus fare, because he is paying $2 to and from:

\(6.75+3.65+4.00\)

\(=14.40\)

Let's subtract our sum, \(14.40\), from our total, \(30\):

\(30-14.40\)

\(=15.60\)

Miguel has $15.60 left.

The required value of y for the unit circle is: 2/3

The circle is defined as the locus of a point whose distance from a fixed point is constant i.e center (h, k).

The equation of the circle is given by:

(x - h)² + (y - k)² = r²

where:

h, k is the coordinate of the center of the circle on coordinate plane.

r is the radius of the circle.

Here,

Equation of the unit circle is given as,

x² + y² = 1

Now substitute the given value in the equation,

5/9 + y² = 1

y² = 1 - 5/9

y² = 4/ 9

y = √(4/9)

y = 2/3

Thus, the required value of y for the unit circle is 2/3

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The series 16+24+36+54+... diverges.

Divergent series are those that contain an infinite series that never converges and an infinite sequence of partial sums with no finite limit. In contrast, a series is considered to be convergent when its limits converge to its finite range of values. A limit that is finite in nature and exists for the partial sum of the series is crucial since only at that point will the series converge.

The given series in question 16 + 24 + 36 + 54 + deviates from the series. 16n, where n is the number of terms, can be used to denote the series' overall term. The total of the terms in the series also increases as n increases since 16n grows along with n, too. This indicates that the series diverges since it does not reach a particular finite value.

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Answer:

$54

Step-by-step explanation:

45 increase 20% =

45 × (1 + 20%) = 45 × (1 + 0.2) = 54

Answer:

B

Step-by-step explanation:

No correlation has ever been found. Scientific disciplines based on hypothesis but with no consistent body of supporting evidence are called pseudoscience. Astrology is one of them. Effects of astrology do not exist in the Universe.

Answer:

least common multiple is 180

Answer:

3x - 5 = 2x + 6  

Step one- Subtract 2x to isolate the variable  

X – 5 = 6  

Step two- Add 5 to continue to isolate the variable  

X = 11  

Your answer is      x = 11  

Hopefully this helps! Feel free to mark brainliest!

Answer: x=11

Step-by-step explanation:

3x-5=2x+6

+5. +5

3x=2x+11

-2x -2x

x=11

Answer: the answer is x because x/4 + 3x/4 tunrs into 4x/4 and the 4 cancels out

The 3rd term of the sequence is 48

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

an = 6x3 n-1

Rewrite properly

So, we have

a(n) = 6 * (3n - 1)

For the third term, we have n = 3

Substitute the known values in the above equation, so, we have the following representation

a(3) = 6 * (3 * 3 - 1)

Evaluate

a(3) = 48

Hence, the third term is 48

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Step-by-step explanation:

she sell 5piece out of 6 per hour

for 36 hour, she sell:

5 × 36 = 180piece of pie

one pie is cut to 6 piece

180/6 = 30pie

Answer:

Pretty sure its C?

Answer:

x = 5

Step-by-step explanation:

Based on the tangent theorem, tangents drawn from an external point of a circle are equal.

This means:

4x - 1 = 2x + 9

Collect like terms

4x - 2x = 1 + 9

2x = 10

Divide both sides by 2

2x/2 = 10/2

x = 5

The percentage of students with grade point averages that are no more than 1.15 is 99.7%.

We know,

other name of empirical rule is the 68-95-99.7 rule which states that in a bell-shaped distribution,

Approximately 68% of the data falls within one standard deviation of the mean.

Approximately 95% of the data falls within two standard deviations of the mean.

Approximately 99.7% of the data falls within three standard deviations of the mean.

In this case,

we want to find the percentage of students with grade point averages that are no more than 1.15.

To determine this,

we need to calculate how many standard deviations away from the mean 1.15.

The formula to calculate the number of standard deviations away from the mean is:

z = (x - μ) / σ

Where:

z = number of standard deviations

x = value (1.15 in this case)

μ = mean (2.5)

σ = standard deviation (0.45)

Let's calculate z:

z = (1.15 - 2.5) / 0.45

z ≈ -2.94

Since 1.15 is 2.94 standard deviations below the mean, we can use the empirical rule to determine the percentage of students with grade point averages that are no more than 1.15.

According to the empirical rule, approximately 99.7% of the data falls within three standard deviations of the mean.

Therefore, the percentage of students with grade point averages that are no more than 1.15 is approximately 99.7%.

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Answer:

3*4*5 is greater than (-3)*(-4)*(-5), because the value of the first expression is 60, while the second expression is equal to -60. So, 60 is greater than -60

Below is the graph for the system of equations as shown in the question:

The green line represents {y = -3x + 3}, while the blue line represents {3x + 2y = -3}

The solution of the equation, which is the point of intersection is at the coordinates (3, -6).

We use the Chain Rule in differentiation , to find the derivative of composite functions .

The Chain Rule states that the derivative of a composite function is  calculated by taking the derivative of the outer function first and then multiplying it by the derivative of inner function.

The chain rule can be mathematically written as ;

⇒ d/dx (f(g(x))) = f'(g(x)) × g'(x)  ;

The chain rule is used when we have a function that is composed of two or more functions, and we want to find the derivative of the composite function.

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Answer:

Yea sure I gotchu my dude

Step-by-step explanation:

so The answer was complicated to find but its................. (correction)

4!)

can u believe it! the people down below would understand.

Answer:

2+2=4

Step-by-step explanation:

If you have 2 cookies, and your mom turned crazy and gave you 2 more, then you have 4 in total.

Hope this helped!

Though if you mom actually did that, please report she may have gone crazy. lol

Answer: £3200000

Step-by-step explanation:

£1000 is 100%, so 5000% is x50 (5000/100) of £1000 which is £50000. Then 64x50000 is 3 200 000. Therefore you will make £3200000 from 64 piece of wood

Explanation:

Cosine is positive in quadrants I and IV, but quadrant IV isn't shaded in so we can rule out choice A.

Sine is positive in quadrants I and II. So far it looks like choice B could work. In fact, it's the answer because sin(pi/6) = 1/2 and sin(5pi/6) = 1/2. So if 0 ≤ sin(x) < 1/2, then we'd shade the region between theta = 0 and theta = pi/6; as well as the region from theta = 5pi/6 to theta = pi.

Choice C is ruled out because tangent is positive in quadrants I and III, but quadrant III isn't shaded.

Choice D is ruled out for similar reasoning as choice A. Recall that \(\sec(x) = \frac{1}{\cos(x)}\)

Answer:

0 ≤ sin x < 1/2.

Step-by-step explanation:

sin π6 = 1/2

sin 5π/6 = 1/2

sin 0 and sin 180 = 0

The dotted line indicates that the value of the sine is less than 1/2 and the solid line indicates that value  is greater or equal to zero.

So the inequality is 0 ≤ sin x < 1/2

The number of possible king-queen pairs can be determined by multiplying the number of candidates for king by the number of candidates for queen.

To calculate the number of king-queen pairs, we multiply the number of candidates for king by the number of candidates for queen. In this case, there are four candidates for homecoming queen and three candidates for king. Therefore, the total number of king-queen pairs would be 4 multiplied by 3, which equals 12.

Each candidate for king can be paired with each candidate for queen, resulting in multiple possible combinations. By multiplying the number of candidates for each position, we account for all possible pairings. In this scenario, there are three potential kings and four potential queens. For each king, there are four possible queens he can be paired with. Since there are three kings, we multiply 3 by 4 to get the total number of 12 king-queen pairs.

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To solve the system of equations using elimination, we'll eliminate one variable by manipulating the equations.

Let's follow the steps: Given equations: 3x + 2y = -3. 9x + 4y = 3. To eliminate the y variable, we can multiply equation (1) by 2 and equation (2) by -1, which will allow us to add the two equations together: 2(3x + 2y) = 2(-3). -1(9x + 4y) = -1(3). Simplifying the equations: 6x + 4y = -6. -9x - 4y = -3. Now, let's add the two equations together: (6x + 4y) + (-9x - 4y) = -6 + (-3). Simplifying the equation: -3x = -9. Dividing both sides by -3: x = 3. Now that we have the value of x, we can substitute it back into one of the original equations to solve for y. Let's use equation (1): 3(3) + 2y = -3. 9 + 2y = -3. Subtracting 9 from both sides: 2y = -12.  Dividing both sides by 2: y = -6. Therefore, the solution to the system of equations is x = 3 and y = -6.

The solutions of system of equations can be represented as the ordered pair (x, y) = (3, -6).

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Answer:

16/9

Step-by-step explanation:

The area of the regular pentagon is 252.7m²

The formula that is used for calculating the area of a regular pentagon is expressed with the equation;

A = 5/2 x s x a

where the parameters are;

Apothem is the line from the center of the pentagon to a side, intersecting the side at 90 degrees right angle.

apothem,a = s/2 tan (180/n)

Substitute the values

Apothem, a = 7.6/2 tan 16

a = 7.6/0.57 = 13.3m

Substitute the values, we get;

Area = 5/2 × 7.6 × 13.3

Multiply the values, we have;

Area = 505. 4/2

Divide the values, we get;

Area = 252.7 m²

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To find the z-score for a sales associate who earns $37,500, we can use the formula:

z = (x - μ) / σ

Where:

x is the value we want to convert to a z-score (in this case, $37,500),

μ is the mean of the distribution (in this case, $32,500), and

σ is the standard deviation of the distribution (in this case, $2,500).

Substituting the given values into the formula, we have:

z = (37,500 - 32,500) / 2,500

z = 5,000 / 2,500

z = 2

Therefore, the z-score for a sales associate who earns $37,500 is 2.

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The z-score for a sales associate earning $37,500 in a system where the mean salary is $32,500 and the standard deviation is $2,500 has a z-score of 2. This score indicates that the associate's salary is two standard deviations above the mean.

The z-score represents how many standard deviations a value is from the mean. In this case, the value is the salary of a sales associate, the mean is the average salary, and the standard deviation is the average variation in salaries.

We calculate the z-score by subtracting the mean from the value and dividing by the standard deviation, like so:

Z = (Value - Mean) / Standard Deviation

So, the z-score for an associate earning $37,500 would be:

Z = ($37,500 - $32,500) / $2,500

This gives us a z-score of +2, indicating that a salary of $37,500 is two standard deviations above mean.

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Answer:

55.8507 i didnt have enough time to post the picture

Answer:

ER ≈ 17.9

Step-by-step explanation:

Using the cosine ratio in the right triangle.

cos61° = \(\frac{adjacent}{hypotenuse}\) = \(\frac{ER}{MR}\) = \(\frac{ER}{37}\) ( multiply both sides by 37 )

37 × cos61° = ER, then

ER ≈ 17.9 ( to the nearest tenth )

Answer:

17.5%

Convert fraction (ratio) 7 / 40 Answer: 17.5%

Step-by-step explanation:

Brainliest?