60% of the people in a town are males.
20% of the males are left-handed.
21.6% of all the people are left-handed.
Work out the percentage of the people who are not male who are left-handed.
(5 marks)

Step-by-step explanation:

A.

Tim suddenly forget the single "+ x" term in the equation.

so, correctly done :

3(2x + 4) + 6 + x = 6x + 43

6x + 12 + 6 + x = 6x + 43

7x + 18 = 6x + 43

x + 18 = 43

x = 25

B.

-(6y + 3)5y + 4 = -11y + 1

it is not clear, if the symbol(s) between "+ 3" and "5y" are dosed to be just ")" or ") -".

Tim himself was clearly not sure. but particularly he made the mistake to assume because it worked out with one trial data item, that this is the only valid solution.

let's assume it is actually

-(6y + 3) - 5y + 4 = -11y + 1

-6y - 3 - 5y + 4 = -11y + 1

-11y + 1 = -11y + 1

this is true for all possible values of y. in other words : always.

therefore, there are infinitely many solutions.

The p-value can be calculated to test the null hypothesis that the average running time of HP laptops is 120 minutes against the alternative hypothesis that it is not equal to 120 minutes.

The p-value for testing the hypothesis that the average time for the HP laptops is not equal to 120 minutes can be calculated using a t-test. Given a sample mean of 122 minutes, a sample size of 60, a null hypothesis mean of 120 minutes, and a standard deviation of 25 minutes, we can calculate the t-value and find the corresponding p-value.

To calculate the t-value, we use the formula: t = (sample mean - null hypothesis mean) / (sample standard deviation / sqrt(sample size))

Plugging in the values, we get: t = (122 - 120) / (25 / sqrt(60))

Calculating the t-value, we find t ≈ 0.894

To find the p-value associated with this t-value, we can refer to a t-distribution table or use statistical software. The p-value represents the probability of observing a t-value as extreme as the one obtained, assuming the null hypothesis is true.

Since the p-value (0.757) is greater than the commonly used significance level of 0.05, we fail to reject the null hypothesis. This suggests that there is not enough evidence to conclude that the average running time of HP laptops is significantly different from 120 minutes.

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Recall that:

Then, if:

Now, notice that:

Therefore:

Answer: True.

The linear function is y = (-1/2)x + 4.

What is a linear function?

A linear function whose graph is a straight line and which is represented by an equation of the form y = ax + b where a and b are constants, a does not equal zero, and x is any real number.

Here, we have

Given,

A linear function has an x-intercept of 8 and a y-intercept of 4.

So, The two points on the line are (8, 0) and (0, 4).

Now, slope(m) = (4 - 0)/(0 - 8).

slope(m) = -4/8.

slope(m) = -1/2.

As it has a y-intercept of 4 it is the value of b, In y = mx + b.

Hence, the linear function is y = (-1/2)x + 4.

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The summation expressions arranged in increasing order of their values are:

\(\sum _{i=1}^4 4(5)^{(i-1)\)

\(\sum _{i=1}^5 3(4)^{(i-1)\)

\(\sum _{i=1}^4 (5)^{(i-1)\)

\(\sum _{i=1}^2 5(6)^{(i-1)\)

To compare the values of the summation expressions, let's calculate each expression and arrange them in increasing order.

For \(\sum _{i=1}^4 4(5)^{(i-1)\):

When i = 1: 4(5)¹⁻¹ = 4(5)⁰ = 4(1) = 4

When i = 2: 4(5)²⁻¹ = 4(5)¹ = 4(5) = 20

When i = 3: 4(5)³⁻¹ = 4(5)² = 4(25) = 100

When i = 4: 4(5)⁴⁻¹ = 4(5)³ = 4(125) = 500

For \(\sum _{i=1}^5 3(4)^{(i-1)\):

When i = 1: 3(4)¹⁻¹= 3(4)⁰ = 3(1) = 3

When i = 2: 3(4)²⁻¹ = 3(4)¹ = 3(4) = 12

When i = 3: 3(4)³⁻¹ = 3(4)² = 3(16) = 48

When i = 4: 3(4)⁴⁻¹ = 3(4)³ = 3(64) = 192

When i = 5: 3(4)⁵⁻¹ = 3(4)⁴ = 3(256) = 768

For \(\sum _{i=1}^4 (5)^{(i-1)\):

When i = 1: (5)¹⁻¹ = (5)⁰ = 1

When i = 2: (5)²⁻¹ = (5)¹ = 5

When i = 3: (5)³⁻¹ = (5)² = 25

When i = 4: (5)⁴⁻¹ = (5)³ = 125

For \(\sum _{i=1}^2 5(6)^{(i-1)\):

When i = 1: 5(6)¹⁻¹ = 5(6)⁰ = 5(1) = 5

When i = 2: 5(6)²⁻¹ = 5(6)¹= 5(6) = 30

Now, let's arrange these values in increasing order:

3 < 4 < 5 < 12 < 20 < 25 < 30 < 48 < 100 < 125 < 192 < 500 < 768

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Answer:

Yes, the car was speeding. I agree with Nico.

Step-by-step explanation:

When you divide 98 miles by 1.7 hours, the answer is 57.6470588. I agree with Nico because it is okay to round because no matter what, the number before the decimal number (57) will always be a greater number than 55. It is easier to round the number for the equation, so Nico is correct in this situation.

Hope this was helpful!! Mark brainliest if so!!!

Have a fantabulous day!!

The solution of the pair of equations y = 0 and y = -3 is y = -3/2.

The given pair of equations is:

y = 0

y = -3

We can solve this pair of equations using elimination. To do this, we first add the two equations together, which gives us:

y + y = 0 + (-3)

2y = -3

We then divide both sides by 2 to get the solution for y:

2y/2 = -3/2

y = -3/2

Therefore, the solution of the pair of equations y = 0 and y = -3 is y = -3/2.

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Answer:

A. y = x+0.25

Answer:

2/21

Step-by-step explanation:

2/7 ÷3

sorry if wrong

2/7 * 1/3

2/21

Answer:

2/21 per friend

Step-by-step explanation:

A whole cake is 1 or as a fraction 7/7

5/7 of the cake was eaten

7/7 - 5/7 = 2/7

This was divided by 3 friends

2/7 ÷3

Copy dot flip

2/7 * 1/3

2/21

Answer: $20.35 on gallons of gas and $25.2 on cans of oil

It is important to understand the measurements of ounces and milliliters in order to accurately measure ingredients when baking or cooking. 4 oz or ounces is equal to 118.294118 milliliters. Ounces are a unit of mass and milliliters are a unit of volume. To convert from ounces to milliliters, you must know the density of the liquid or solid in question.

When measuring liquids, it is important to use a liquid measuring cup. This is because measuring spoons are not as accurate for liquids. A liquid measuring cup will have milliliters listed on the side of the cup to help you measure correctly.

When measuring solids, you can use measuring spoons, but they are not as accurate as a scale. A kitchen scale will allow you to measure in both ounces and grams.

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Richard's net pay for the week, considering Social Security, Medicare, and FIT deductions, can be calculated by subtracting the total deductions from his gross earnings.

First, let's determine the amount deducted for Social Security. The Social Security rate is 6.2%, and the maximum earnings subject to this deduction are $118,500. Since Richard is $1,000 below the maximum level, the amount subject to Social Security deduction is $1,000. Therefore, the Social Security deduction is 6.2% of $1,000.

Next, we calculate the Medicare deduction. The Medicare rate is 1.45%, and it is applied to the entire earnings of $1,700.

To calculate the FIT deduction, we need additional information about Richard's taxable income, tax brackets, and exemptions. Without this information, we cannot provide an accurate calculation for the FIT deduction.

Finally, we subtract the total deductions (Social Security, Medicare, and FIT) from Richard's gross earnings of $1,700 to obtain his net pay for the week.

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The linear function that describes how weight varies with age is y = 14.5x + 5.5.

To find a linear function that describes how weight varies with age based on the given data points, we can use the slope-intercept form of a linear equation: y = mx + b.

In this case, "y" represents the weight, "x" represents the age, "m" represents the slope (rate of change in weight with respect to age), and "b" represents the y-intercept (initial weight at birth).

Given that the dog weighed 5.5 pounds at birth (x = 0) and weighed 20 pounds a year later (x = 1), we can calculate the slope using the formula: \(m = (y_2 - y_1) / (x_2 - x_1)\).

Plugging in the values, we have

m = (20 - 5.5) / (1 - 0)

   = 14.5 / 1

   = 14.5.

Now we can substitute the slope and one of the data points into the equation to solve for the y-intercept (b).

Using the point (0, 5.5), we have 5.5 = 14.5(0) + b, which simplifies to b = 5.5.

Therefore, the linear function that describes how weight varies with age is y = 14.5x + 5.5.

To predict the dog's weight at 5 years, we substitute x = 5 into the equation:

y = 14.5(5) + 5.5

  = 72.5 + 5.5

  = 78 pounds.

To predict the dog's weight at 20 years, we substitute x = 20 into the equation:

y = 14.5(20) + 5.5

  = 290 + 5.5

  = 295.5 pounds.

It's important to note that while the linear function provides a simple model to predict the dog's weight based on age, its validity may be limited.

The model assumes a constant rate of change in weight over time, which may not hold true for all dogs. Factors such as breed, genetics, health, and lifestyle can significantly influence weight variation.

Additionally, the model is based on only two data points, which may not capture the full range of weight changes that occur over a dog's lifespan.

Therefore, it's advisable to consider this model as a rough estimation and to consult with a veterinarian for a more accurate assessment of your dog's weight as they age.

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320

1) To evaluate an expression is to see what is the corresponding value of it when we plug into that another value.

2) So, in this case, let's plug into that expression a= -7 and b= 4

3) Hence, the answer is 320

True. depending on the circumstances, the dequeue method of our linkedqueue class sometimes throws the queueunderflowexception

The dequeue method of a LinkedQueue class throws a QueueUnderflowException when the queue is empty, and the user attempts to remove an element from it. This is because removing elements from an empty queue is not allowed and violates the basic properties of a queue data structure. Therefore, depending on the circumstances, the dequeue method may throw a QueueUnderflowException to indicate that the operation is invalid.

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Answer:

y= 12

Step-by-step explanation:

3(-12)-24

-36-24

-12

The requried Burger Quick is able to estimate its wait time more consistently because it has a smaller IQR. Option A is correct.

A straightforward method of expressing statistical data on a plot in which a rectangle is drawn to represent the second and third quartiles, with a vertical line inside to indicate the median value.

Here,
Burger Quick is able to estimate its wait time more consistently because it has a smaller interquartile range (IQR). The IQR is a measure of the spread of the middle 50% of the data and is calculated as the difference between the third quartile (Q3) and the first quartile (Q1). The smaller the IQR, the more consistent the data is around the median, which is represented by the line within the box in the box plot.

In this case, Burger Quick has a smaller IQR (8.0) compared to Super Fast Food (7.0), indicating that the wait times at Burger Quick are more consistent around the median. The range, which is the difference between the maximum and minimum values, is not a good measure of consistency as it is affected by outliers.

Therefore, based on the given information, Burger Quick is able to estimate its wait time more consistently because it has a smaller IQR.

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Answer: 452.39

Step-by-step explanation: R= 6, H = 12. Volume formula is V= pi*r^2*h/3. For you, the equation is V = pi*6^2*12/3. 6^2 = 36, and 12/3 = 4. V = pi*36*4. Solving, we get V = 452.39.

the magnitude of the force vector is approximately 470.41 N, and the x component of the force vector is approximately 357.98 N.

(a) The magnitude of the force vector can be found using the given information. The y component of the force is given as 311 N, and we can calculate the magnitude using trigonometry. The magnitude of the force vector can be determined by dividing the y component by the sine of the angle. Therefore, the magnitude is given by:

Magnitude = y component / sin(angle) = 311 N / sin(41.5°)

Magnitude = y component / sin(angle)

Magnitude = 311 N / sin(41.5°)

Magnitude ≈ 470.41 N

(b) To find the x component of the force vector, we can use the magnitude and the angle. The x component can be determined using trigonometry by multiplying the magnitude by the cosine of the angle. Therefore, the x component is given by:

x component = magnitude * cos(angle)

x component = magnitude * cos(angle)

x component = 470.41 N * cos(41.5°)

x component ≈ 357.98 N

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Answer:

Any linear equation with a slope of 1.5

(examples:

Step-by-step explanation:

If two equations are parallel, their slopes are the same.

y=1.5x-6 is written in slope-intercept form, which is:

\(y=mx+b\)

Where m is the slope, and b is the y-coordinate of the y-intercept.

Thus, looking at the equation y=1.5x-6, we can find that m=1.5.

This means that the slope is 1.5.

Think of any equation in this format that uses 1.5 as the slope. Here are a few examples:

The graphs of all of these equations are parallel to the graph of y=1.5x-6 because their slopes are the same.

You can write your own equation using a slope of 1.5.

Answer:

7 t-shirts

Step-by-step explanation:

Because you know the cost of shipping ($6) is constant no matter the quantity you order (fixed cost), you can subtract it from the total cost of the order to find the total variable cost. Next you divide the left over cost by the cost per t-shirt to get the quantity ordered.

$111 - 6 = $105

$105 / $15 per shirt = 7 t-shirts

Hope this helps!

-The Business Man

Answer: D. 2/3

Step-by-step explanation:

There are 15 markers in total. Out of these 15 markers, there are 5 blue ones.

If Mark reaches into a bag to pull out one marker and hopes it is not blue, there would be a 2/3 probability as 2/3 of the markers are not blue.

Yes, there is sufficient evidence at the α = 0.05 level to conclude that less than 20% of the parts are being painted with an error.

We have,

There is sufficient evidence at the α = 0.05 level to conclude that less than 20% of the parts are being painted with an error.

The calculated P-value of approximately 0.023, which is less than the significance level of 0.05.

The P-value indicates the probability of observing a test statistic as extreme as or more extreme than the observed value of -2.00 under the null hypothesis.

Since the P-value is smaller than the significance level, we reject the null hypothesis and conclude that the proportion of parts with an error is significantly less than 20%.

The fact that 16% is less than 20% also supports this conclusion.

Thus,

Yes, there is sufficient evidence at the α = 0.05 level to conclude that less than 20% of the parts are being painted with an error.

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The amount he will pay with the friend  if 20% is deducted before adding tax is $56.55

We should know that we have to deduct the tip for excellent driving g before adding up the tax to the total first.

The given parameters are

Bill =$65

Tax rate= 7%

Tip for excellent driving =20%

First deduct 0.2*65

=13

Balance = $(65-13)

Balance= $52.00

Tax = 0.07*65

Tax = 4.55

Then $(52.00+4.55)

= $56.55

In conclusion, the amount he will pay with the friend  if 20% is deducted before adding tax is $56.55

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Answer: Choice B

Work Shown:

\(\sqrt[3]{\text{x}^5\text{y}}\\\\(\text{x}^5\text{y})^{\frac{1}{3}}\\\\(\text{x}^5)^{\frac{1}{3}}*(\text{y})^{\frac{1}{3}}\\\\\text{x}^{\frac{5}{3}}\text{y}^{\frac{1}{3}}\\\\\)

Option (c) 26.7% of the global oceans are Marine Protected Areas (MPAs). Marine Protected Areas (MPAs) are designated areas in the oceans that are set aside for conservation and management purposes.

They are intended to protect and preserve marine ecosystems, biodiversity, and various species. MPAs can have different levels of restrictions and regulations, depending on their specific objectives and conservation goals.

As of the current knowledge cutoff in September 2021, approximately 26.7% of the global oceans are designated as Marine Protected Areas. This means that a significant portion of the world's oceans has some form of protection and management in place to safeguard marine life and habitats. The establishment and expansion of MPAs have been driven by international agreements and initiatives, as well as national efforts by individual countries to conserve marine resources and promote sustainable practices.

It is worth noting that the percentage of MPAs in the global oceans may change over time as new areas are designated or existing MPAs are expanded. Therefore, it is important to refer to the most up-to-date data and reports from reputable sources to get the most accurate and current information on the extent of Marine Protected Areas worldwide.

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If 96 people divide into groups of eight, the following expression indicates that 12 groups are created.

Eight persons form groups made up of multiple people. a expression for how many groups made up of p people there are.

P = the number of groups.

12 groups out of 96

If there are 96 individuals, 12 groups are created.

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A control group on the dependent variable, P-value is higher than the usual cutoff of 0.05 for rejecting the null hypothesis that there is no difference between the groups, this is frequently regarded as evidence that the difference between the groups is not statistically significant.

In an analysis testing difference between an experimental and a control group on the dependent variable, a p-value of 0.07 means that there is a 7% chance of obtaining a difference as large or larger than the observed difference between the two groups, assuming that there is no true difference between the groups in the population.

Interpreted as evidence that the difference between the groups is not statistically significant, since the p-value is greater than the conventional threshold of 0.05 for rejecting the null hypothesis of no difference between the groups.

Statistical significance does not necessarily imply practical significance, and there may still be a meaningful difference between the groups that is not detected by the statistical test.

Additionally, the interpretation of a p-value depends on the study design, sample size, and other factors, and should be considered in conjunction with other information about the study.

True difference between the groups in the population, a p-value of 0.07 indicates that there is a 7% chance of finding a difference as large or larger than the observed difference between the two groups in an analysis testing the difference between an experimental and a control group on the dependent variable.

P-value is higher than the usual cutoff of 0.05 for rejecting the null hypothesis that there is no difference between the groups, this is frequently regarded as evidence that the difference between the groups is not statistically significant.

It's crucial to remember that statistical significance does not always imply practical relevance.

There could still be a significant difference between the groups that is not shown by statistical analysis.

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