Megan is running a 1 mile lap for 3 hours how many miles did she run

Answer:

14

Step-by-step explanation:

substitute 5 for x

5(2) + 4 = 10 + 4 = 14

Answer:12 i think

Step-by-step explanation:

The measure of the angle if the measure of its two adjacent supplementary angles add up to 100 degrees is 80 degrees.

Let the measure of the angle be x.

We are given that the measure of its other two supplementary angles is 100°

We know that:

The sum of the supplementary angles is equal to 180°.

So, we get that:

100° + x = 180°

Subtract 100° from both the sides:

x = 180° - 100°

Simplify the expression:

x = 80°

Therefore, we get that, the measure of the angle if the measure of its two adjacent supplementary angles add up to 100 degrees is 80 degrees.

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The proportion of test takers that are considered top performers is given as follows:

0.1056.

The minimum SAT score needed for a test taker to be in the top 20% is given as follows:

1231.

The z-score of a measure X of a variable that has mean symbolized by \(\mu\) and standard deviation symbolized by \(\sigma\) is obtained by the rule presented as follows:

\(Z = \frac{X - \mu}{\sigma}\)

The mean and the standard deviation of SAT scores are given as follows:

\(\mu = 1050, \sigma = 216\)

The proportion of scores above 1320 points is one subtracted by the p-value of Z when X = 1320, hence:

Z = (1320 - 1050)/216

Z = 1.25

Z = 1.25 has a p-value of 0.8944

1 - 0.8944 = 0.1056.

The minimum SAT score needed for a test taker to be in the top 20% is the 80th percentile, which is X when Z = 0.84, hence:

0.84 = (X - 1050)/216

X - 1050 = 216 x 0.84

X = 1231.

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Answer:

y=2x+4

Step-by-step explanation:

the slop is 2 hense 2x, and the y intercept is 4

Answer:

-5.125

Step-by-step explanation:

Answer:

-41/8 ?

Step-by-step explanation:

Answer:

The answer is 36km/h

Step-by-step explanation:

10m/s * 3,6 = 36km/h

Answer:

The last one is an easy way to tell that the slope is not -2 1/5 because it is positive

Step-by-step explanation:

When a line goes up from left to right, it's positive. If it goes down from left to right, it's negative.

The tablets would be left in the bottle after 3 days if you followed your doctor’s orders is 14 tablets

From the information, the doctor tells you to take 400 mg of Tylenol every 4 hours to control your fever. Therefore, the amount taken in a day will be:

= 400mg × 24/4

= 2400mg

The person purchased a bottle of Tylenol that contains fifty 200 mg tablets, the tablets that would be left in the bottle after 3 days if you followed your doctor’s orders is:

= (200 × 50) - (2400 × 3)

= 10000 - 7200

= 2800 mg

Therefore, the number of tablets will be:

= 2800 / 200

= 14

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Based on the given data, Fordam Company's single product has a selling price of $90.00 per unit and a variable expense of $40.00 per unit. Additionally, the company incurs fixed expenses of $460,000 per month.

The data provided gives insights into the cost structure and financial aspects of Fordam Company's single product. The selling price per unit indicates the amount at which the company sells its product to customers, which in this case is $90.00. This represents the revenue generated from each unit sold.

On the cost side, the variable expense per unit is given as $40.00. This variable expense represents the cost directly associated with producing each unit, such as raw materials, direct labor, and any other costs that vary based on the number of units produced.

The fixed expense per month is stated as $460,000. Fixed expenses are costs that remain constant regardless of the level of production or sales. These expenses include items like rent, salaries, utilities, and other overhead costs.

By knowing the selling price per unit, variable expense per unit, and fixed expenses, Fordam Company can assess its profitability and determine the break-even point. The break-even point is the level of sales at which total revenue equals total expenses, resulting in neither profit nor loss. It can be calculated by dividing the fixed expenses by the contribution margin, which is the difference between the selling price per unit and the variable expense per unit.

Overall, the given data provides key information about Fordam Company's pricing, costs, and expenses, enabling the company to analyze its financial performance and make informed business decisions.

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The answer is: A) The data support the researchers' belief that night owls have better dream recall than early birds. B) we can be 92% confident that the true difference in mean number of dreams recalled per week between night owls and early birds is between 1.87 and 2.63.

A) These are the alternative and null hypotheses:

H0: μE = μN (the mean number of dreams recalled each week is the same for early birds and night owls) (the mean number of dreams recalled per week is the same for early birds and night owls)

Ha: μE < μN (the mean number of dreams recalled each week is smaller for early birds than for night owls) (the mean number of dreams recalled per week is lower for early birds than for night owls)

Using the following formula, we can run a two-sample t-test with unequal variances:

t = [(sN2 / nN) + (sE2 / nE)] / sqrt[(xN - xE)]

where nN and nE are the sample sizes for night owls and early birds, respectively, and xN and sN and xE and sE are the sample means and standard deviations for night owls and early birds, respectively.

When we enter the values, we obtain:

t = (9.55 - 7.26) / sqrt[(5.88^2 / 100) + (6.94^2 / 100)] = 5.01

The data are consistent with the researchers' hypothesis that night owls are more capable of remembering their dreams than early birds.

B) We can use the following formula to determine the confidence interval:

CI is equal to (xN - xE) t/2 * sqrt[(sN / nN) + (sE / nE)].

where t/2 is the t-value for the required level of confidence and degrees of freedom, and xN, xE, sN, sE, nN, and nE are the same as previously (198 in this case).

With a t-value of 1.75 and a 92% confidence level (from a t-distribution with 198 degrees of freedom), we get:

CI is equal to (9.55 - 7.26) 1.75 * sqrt[(5.88 - + 6.94 / 100)] = (1.87, 2.63) (1.87, 2.63)

The genuine difference between night owls and early birds in terms of the average number of dreams recalled per week is therefore between 1.87 and 2.63, with a 92% confidence interval.

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The equation for the amount left after t years if half life is

and initial amount is A is,

Determine the amount left after 450 years.

Thus amount of samarium left after 450 years is 11850 grams.

Answer:

\(\frac{1}{2}\) is a rational number

Step-by-step explanation:

Given

\(Real\ Number = \frac{1}{5}\)

Required

Determine which set of numbers it belongs to

Analyzing the options one after the other;

1. Whole numbers: 0, 1, 2, 3....

2. Natural numbers: 1, 2, 3, 4... 3.

3. Irrational numbers are numbers that can't be expressed as fractions

The option that answers this question is rational numbers because \(\frac{1}{2}\) can be expressed as decimal and fraction interchangeable.

Hence;

\(\frac{1}{2}\) is a rational number

The intervals are nested, each subsequent interval is contained within the previous one. Mathematically, this means I₁ ⊇ I₂ ⊇ ... In ⊇ ... . Therefore, we have:

1. I₁ ⊇ I₂ implies [a₁; b₁] ⊇ [a₂; b₂], which means a₁ ≤ a₂ and b₁ ≥ b₂.
2. I₂ ⊇ I₃ implies [a₂; b₂] ⊇ [a₃; b₃], which means a₂ ≤ a₃ and b₂ ≥ b₃.

To show that a1 ≤ a2 ≤ ... ≤ an ≤ ..., we need to use the fact that the sequence of intervals is nested, meaning that each interval is contained within the next one.

First, we know that I1 contains I2, so every point in I2 is also in I1. That means that a1 ≤ a2 and b1 ≥ b2.

Now consider I2 and I3. Again, every point in I3 is also in I2, so a2 ≤ a3 and b2 ≥ b3.

We can continue this process for all the intervals in the sequence, until we reach In. So we have:

a1 ≤ a2 ≤ ... ≤ an-1 ≤ an

and

b1 ≥ b2 ≥ ... ≥ bn-1 ≥ bn

This shows that the endpoints of the intervals are ordered in the same way.

Given that I₁ ⊇ I₂ ⊇ ... In ⊇ ... is a nested sequence of intervals and In = [an; bn], we can show that a₁ ≤ a₂ ≤ ... ≤ an ≤ ... and b₁ ≥ b₂ ≥ ... ≥ bn ≥ ... as follows:

Since the intervals are nested, each subsequent interval is contained within the previous one. Mathematically, this means I₁ ⊇ I₂ ⊇ ... In ⊇ ... . Therefore, we have:

1. I₁ ⊇ I₂ implies [a₁; b₁] ⊇ [a₂; b₂], which means a₁ ≤ a₂ and b₁ ≥ b₂.
2. I₂ ⊇ I₃ implies [a₂; b₂] ⊇ [a₃; b₃], which means a₂ ≤ a₃ and b₂ ≥ b₃.

Continuing this pattern for all intervals in the sequence, we can conclude that a₁ ≤ a₂ ≤ ... ≤ an ≤ ... and b₁ ≥ b₂ ≥ ... ≥ bn ≥ ... .

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#5

Since the elevation of the picture is

We need to change it in decimal, then divide the numerator of the fraction by the denominator of the fraction

Then the elevation in decimal is

Answer:

1&0

Step-by-step explanation:

Enter a value for side 1 in metres with optional centimetres.

Enter a value for side 2 in metres with optional centimetres.

Click associated Get Results button.

Square metres (m2) and centimetres (cm2) remainder is shown.

Multiple calculations can be placed in the textbox below by pressing Move Results.

Multiple calculations total area is shown in the Grand Total Square Metres text box.

Answer:

False B=1

Step-by-step explanation:

10b+18=28

Subtract 18 both sides.

10b=10

Divide 10 both sides.

b=1

Answer: go up 1 and over 5 for each point

Step-by-step explanation: because 1/5 is your slope and it’s rise over run

Answer:

The answer is 30 :)

Step-by-step explanation:

I had this question on khan academy

have a good day and stay safe!

The value of expression at x = 3 is,

⇒ 30

Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.

Given that;

The expression is,

⇒ 6² + x - x²

Now, We can simplify as;

⇒ 6² + x - x²

⇒ 36 + x - x²

Put x = 3;

⇒ 36 + 3 - 3²

⇒ 36 + 3 - 9

⇒ 36 - 6

⇒ 30

Thus, The value of expression at x = 3 is,

⇒ 30

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The required probability for randomly selected students spend between $300 and $400 on clothing in a year is equal to 0.6730 or 67.30% (approximately ).

For a normal distribution with a mean (μ) of $340

And a standard deviation (σ) of $50.

Let X be the amount of money spent on clothing by a randomly chosen student.

Probability that a randomly chosen student will spend between $300 and $400 on clothing in a year,

P(300 < X < 400)

Standardize the distribution by converting the given values to z-scores, using the formula,

z = (X - μ) / σ

For the lower limit, we have,

z1 = (300 - 340) / 50 = -0.8

For the upper limit, we have,

z2 = (400 - 340) / 50 = 1.2

Area under the standard normal distribution curve between these two z-scores.

Standard normal distribution table

Probabilities, or use the properties of the normal distribution to calculate it as,

P(-0.8 < Z < 1.2)

= P(Z < 1.2) - P(Z < -0.8)

Using a standard normal distribution table we have,

P(Z < 1.2) ≈ 0.8849

P(Z < -0.8) ≈ 0.2119

Substituting these values in the above equation, we get,

P(-0.8 < Z < 1.2)

≈ 0.8849 - 0.2119

≈ 0.6730

Therefore, the probability that a randomly chosen student will spend between $300 and $400 on clothing in a year is approximately 0.6730 or 67.30%.

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The net profit margin ratio for Jones Corporation for 2012 is 14.29%.

The net profit margin ratio or the net income ratio describes the relative size of the net income in comparison with the net sales revenue.

The ratio is the quotient of the two values with the net income as the numerator and the net sales revenue as the denominator, multiplied by 100.

                                      2012               2011

Net sales                    $784,000     $697,000

Cost of goods sold      406,000       377,000

Net income                    112,000         80,000

Net income ratio for 2012 = Net Income ÷ Net Sales x 100

= 14.29% ($112,000/$784,000 x 100)

Thus, when the net profit is compared to the net sales revenue, we can conclude that the net income represents only 14.29% of the net sales.

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The number of rabbits on the farm is 575 and the number of chickens is 425.

Here we have to find the number of rabbits and the number of chickens on the farm.

Data given:

Total number of rabbits and chicken = 1000

Number of legs = 3150

Let x be the number of rabbits and y be the number of chickens.

So we have

x + y = 1000 -------(1)

4x + 2y = 3150

A rabbit has 4 legs and a chicken has 2 legs.

2x + y = 1575 ------(2)

Substrating equation (1) from (2) we have:

x = 575

Now put in equation (1) we have:

575 + y = 1000

y = 425

Therefore the number of rabbits is 575 and the number of chickens is 425.

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The rate of change of y with respect to x is given by dy/dx = xy - (3/2)x²y.

To find the rate of change of y with respect to x, we need to differentiate the given equation. The rate of change can be determined by taking the derivative of both sides of the equation with respect to x.

First, let's differentiate each term separately using the rules of differentiation.

Differentiating x²y with respect to x gives us 2xy using the product rule.

To differentiate 5, we know that a constant has a derivative of 0.

Differentiating 2ln(y) with respect to x requires the chain rule. The derivative of ln(y) with respect to y is 1/y, and then we multiply by dy/dx. So, the derivative of 2ln(y) is 2/y * dy/dx.

Differentiating x³ gives us 3x² using the power rule.

Now, we can rewrite the equation with its derivatives:

2xy - 2/y * dy/dx = 3x²

To solve for dy/dx, we can isolate it on one side of the equation. Rearranging the equation, we get:

2xy = 2/y * dy/dx + 3x²

To isolate dy/dx, we move the term 2/y * dy/dx to the other side:

2xy - 2/y * dy/dx = 3x²

2xy = 2/y * dy/dx + 3x²

2/y * dy/dx = 2xy - 3x²

Now, we can solve for dy/dx by multiplying both sides by y/2:

dy/dx = (2xy - 3x²) * (y/2)

Simplifying further, we have:

dy/dx = xy - (3/2)x²y

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Answer:d

Step-by-step explanation:

The answer is d. None of the above is true.

To calculate velocity, we need to use the equation:

Velocity = M * P / Y

Given:

M = 1,000

P = 2.25

Y = 2,000

Plugging in the values:

Velocity = 1,000 * 2.25 / 2,000

Simplifying:

Velocity = 2.25 / 2

The result is:

Velocity = 1.125

Therefore, the correct answer is: d. None of the above is true.

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Answer:

C is the answers for the question

Step-by-step explanation:

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Answer: The probability that of two students randomly chosen, at least one prefers lifting weights is 0.3949.

Explanation :Let A be the event that the first student prefers lifting weights and B be the event that the second student prefers lifting weights. We need to find P(A ∪ B).P(A) = probability that the first student prefers lifting weights = 0.21P(B) = probability that the second student prefers lifting weights = 0.21P(A ∩ B) = probability that both students prefer lifting weights P(A ∪ B) = P(A) + P(B) - P(A ∩ B)We have :P(A ∩ B) = P(A) × P(B) = 0.21 × 0.21 = 0.0441P(A ∪ B) = 0.21 + 0.21 - 0.0441 = 0.3659The probability that neither student prefers lifting weights is 1 - P(A ∪ B) = 1 - 0.3659 = 0.6341So, the probability that of two students randomly chosen, at least one prefers lifting weights is 0.3949.

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The most accurate statement about the mean absolute deviation (MAD) is that it is measured in the same units as the original data. MAD is the arithmetic mean of the absolute deviations from the mean, which means that it measures the average distance between each data point and the mean. It is different from standard deviation, which measures the spread of the data around the mean, and is calculated by taking the square root of the arithmetic mean of the squared deviations from the mean. MAD can only be a positive number, as it measures distances. Therefore, the correct answer is C.
C. It is measured in the same units as the original data.

The mean absolute deviation (MAD) is a measure of dispersion or variability in a dataset. It is calculated by finding the arithmetic mean of the absolute deviations from the mean of the dataset. Since the absolute deviations are in the same units as the original data, the MAD is also measured in the same units as the original data.

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