pls help due asap plsss

A 6-ounce serving of salmon has 2 grams of saturated fat. To determine the percentage of saturated fat in the serving of salmon, we divide the amount of saturated fat by the total amount of fat and multiply by 100.

The total amount of fat in the serving is 7 grams. So:2g / 7g × 100% = 28.57%Therefore, 28.57% of the 6-ounce serving of salmon is saturated fat. This information can be helpful for individuals who are monitoring their saturated fat intake due to health concerns such as high cholesterol or heart disease.

Saturated fat is a type of fat that is solid at room temperature and is typically found in animal products such as meat and dairy. Consuming too much saturated fat can contribute to high cholesterol levels and increase the risk of heart disease. It is important to consume a balanced diet and limit intake of saturated and trans fats.

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Answer:

false

Step-by-step explanation:

b represents y value

The greatest profit that can be earned is given by profit(c) = 2P - kQ(c).

To get the greatest profit that can be earned from a commuter railway with a certain number of passengers per day and a fare of two dollars per day, follow these steps:

Step 1: Let the number of passengers per day be denoted by P.

Step 2: The amount earned from the fare each day is calculated as 2P dollars.

This is the revenue earned by the commuter railway.

Step 3: Let the fare be increased by x cents.

Therefore, the new fare per day is (200 + x) cents, or (2 + x/100) dollars.

Note that the original fare is 200 cents, or 2 dollars.

Step 4: Let the number of passengers who travel by the train after the fare is increased by x cents be denoted by Q(x).

Step 5: It is assumed that the fewer people travel by train as the fare increases.

Therefore, Q(x) is a decreasing function of x, i.e. as x increases, Q(x) decreases.

Additionally, Q(0) = P, since the number of passengers traveling when the fare is unchanged is P.

Step 6: Let C(x) denote the cost of running the commuter railway after the fare is increased by x cents.

This cost is assumed to be proportional to the number of passengers traveling by the train, since a higher number of passengers would require more trains and staff to run them.

Therefore, C(x) = kQ(x),

where k is a constant of proportionality.

Step 7: The profit earned by the commuter railway after the fare is increased by x cents is calculated as the difference between the revenue earned and the cost of running the train.

Therefore, profit(x) = 2P - kQ(x).

Step 8: The greatest profit that can be earned is obtained by finding the value of x that maximizes the profit.

This is equivalent to finding the value of x that minimizes the cost, since the revenue is fixed.

Therefore, we need to find the value of x that minimizes C(x). This is achieved by minimizing Q(x), since C(x) is proportional to Q(x).Step 9: To minimize Q(x), we can use the mean value theorem.

This theorem states that for any decreasing function f(x) and any value of a, there exists a unique value of x between 0 and a such that f(x) = f(a)/a * x.

This value of x is denoted by m(a) and is called the mean value of f(x) on [0, a].

Step 10: Applying this theorem to Q(x), we get Q(x) = Q(0) * (200 + x)/200 * m(x/200).

Therefore, to minimize Q(x), we need to find the value of x that maximizes m(x/200).

This value is denoted by c and is called the critical value of x. It satisfies the equation Q(c) = Q(0)/2.

Step 11: To find c, we need to solve the equation Q(c) = Q(0)/2 for c.

This is equivalent to solving the equation kQ(c) = kQ(0)/2 for c,

since C(x) = kQ(x).

Therefore, we need to find the value of c that satisfies the equation 2P - kQ(c) = P.

This is equivalent to solving the equation Q(c) = P/k.

Therefore, we need to find the value of c that satisfies the equation Q(c) = P/k/2.

Step 12: To find the greatest profit that can be earned, we need to substitute c into the expression for profit(x).

This gives the value of the profit that can be earned when the fare is increased by the critical value c.

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Answer:

23.4

Step-by-step explanation:

The antiderivative of k(x) is F(x) = x⁻⁵ / (-5) + x² + 4x + C. To find the antiderivative of k(x), we need to find a function F(x) such that F'(x) = k(x).Finding the antiderivative of x⁻⁶can be done using the power rule of integration:

∫ x⁻⁶ dx = x⁻⁵ / (-5) + C1, where C1 is the constant of integration.

We may locate the antiderivative of 2x by using the power rule once more:

∫ 2x dx = x² + C2, where C2 is another constant of integration.

Last but not least, here is the antiderivative of 4:

∫ 4 dx = 4x + C3, where C3 is yet another constant of integration.

Combining everything, we have:

F(x) = ∫ x⁻⁶ + 2x + 4 dx

= x⁻⁵ / (-5) + x² + 4x + C, where C = C1 + C2 + C3 is the overall constant of integration.

Therefore, the antiderivative of k(x) is F(x) = x⁻⁵ / (-5) + x² + 4x + C.

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The points (1,3) and (-1,-3) are on the line given by the given equation.

An equation can be represented by a linear function. The standard form for the linear equation is: y= mx+b , for example, y=6x+7. Where:

m= the slope.

b= the constant term that represents the y-intercept.

For the given example: m=6 and b=7.

The question gives the equation y=3x from the standard form equation, you can identify that: m=3 and b=0.

For solving the question, you should check if the given coordinates comply with the equation y=3x.  See below.

         y=3*1

         y=3

Therefore, the coordinate (1,3) is on the line given by the equation y=3x.

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Answer:

$6.50/per pair of socks

Step-by-step explanation:

12*5=60

125-60=65

65/10=6.50

The mean of the distribution of sample means would be 27 hours, which is the same as the average life of the candles.

This is because the sample means would be expected to be centered around the population mean.

The standard deviation of the distribution of sample means (also known as the standard error of the mean) can be calculated using the formula:

standard deviation of sample means = standard deviation of population / square root of sample size

In this case, the standard deviation of sample means would be:

6 / square root of 4 = 3

So the answer is 3.

So, the mean of the distribution of the sample means would be 3. Your answer: 3.

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Answer:

124.8

Step-by-step explanation:

The equation for the area of a triangle is base length (12) multiplied by the height length (10.4) divided by 2. Two of the same triangle create a rectangle, and by multiplying the base and the height you find this rectangle. To find the are of the triangle, you just need to remove the other triangle (divide by 2).

A=b*h/2

The approximation probability that two people in a group of seven have the same birthday is 0.0000007 or 7 in 10 million.

The approximation probability that two people in a group of seven have the same birthday can be determined using a formula.

To calculate the probability that two people in a group of seven have the same birthday, we can use an approximation formula.

The formula is given as:P(n) = 1 - (365!/(365^n *(365-n)!)) * (1/n!)

Where P(n) is the probability that at least two people share the same birthday, n is the number of people in the group, and the exclamation mark (!) is the factorial function.

For a group of seven people, we substitute n=7 in the formula, and we get:

P(7) = 1 - (365!/(365^7 *(365-7)!)) * (1/7!)This simplifies to:P(7) ≈ 1 - 0.9999993 = 0.0000007

Therefore, the approximation probability that two people in a group of seven have the same birthday is 0.0000007 or 7 in 10 million.

The probability is incredibly small, and it implies that it is unlikely for two people in a group of seven to have the same birthday.

This is because there are only 365 possible birthdays in a year, and the sample size of seven is too small to increase the likelihood of a match.

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Answer:

Each one can lead up to 180 (that's a hint)

Answer:

-1

Step-by-step explanation:

Simplify the radical by breaking the radicand up into a product of known factors, assuming real numbers.

The distance between the two towns is 165 kilometers

The initial speed = 100 kilometer per hour

Time taken = t hours

We know,

Speed = Distance / Time

Distance = Speed × t

Distance = 100 × t

New speed = 110 kilometer per hours

He saves 9 minutes

9 minutes = 9/60 hours

The time taken = t - 9/60

The distance = 110 × (t - 9/60)

= 110t - 33/2

Then the equation will be

100t = 110t - 33/2

110t - 100t = 33/2

10t = 33/2

t = 33/2 ÷ 10

t = 33/2 × 1/10

t = 1.65 hours

Then the distance = 100 × t

= 100 × 1.65

= 165 kilometers

Hence, the distance between the two towns is 165 kilometers

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The distance between the points (a, b) and (c, d) is √((c - a)^2 + (d - b)^2). And the distance between the points (1, 2) and (7, 10) is 10 units.

The distance between two points (a, b) and (c, d) in a two-dimensional coordinate system can be calculated using the distance formula:

Distance = √((c - a)^2 + (d - b)^2)

In this case, we are given the points (1, 2) and (7, 10), and we need to find the distance between them.

Using the distance formula, we can calculate:

Distance = √((7 - 1)^2 + (10 - 2)^2)

        = √(6^2 + 8^2)

        = √(36 + 64)

        = √100

        = 10

Therefore, the distance between the points (1, 2) and (7, 10) is 10 units.

The distance formula is derived from the Pythagorean theorem. It calculates the length of the straight line between two points in a two-dimensional plane. The formula uses the differences between the x-coordinates (c - a) and the y-coordinates (d - b) of the two points and squares them. Then, it takes the square root of the sum of the squares to obtain the final distance.

In our case, we substitute the given coordinates into the formula and perform the calculations step by step. We subtract the x-coordinates and y-coordinates, square the differences, add them together, and finally take the square root of the sum. This gives us the distance between the two points.

The distance between (1, 2) and (7, 10) is found to be 10 units. This means that if we were to draw a straight line connecting these two points on a coordinate grid, the length of that line would be 10 units.

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The correct question is: The distance between the points (a, b) and (c, d) is ________. So the distance between (1, 2) and (7, 10) is __________.

The probability of the random item chosen that it is less than 16.4 inches long is 2.7%

Probability means ?

The likelihood of an event happening is calculated using the probability formula. To review, probability is the probability that an event will occur. What is the likelihood that a specific event will occur when a random experiment is considered? is one of the first queries that pops into our heads. A prediction's chance is expressed as a probability. If we suppose that, for example, x represents the probability that an event will occur, then (1-x) is the probability that the event will not occur.

Variance of sample mean =1.3^2/1= 1.69

S D of sample mean =1.69^(1/2)= 1.3

Z score for length of 16.4 is( 16.4-15.4)/1.3= 0.7692307

The p value for -1.67 in standard normal table is 0.04746

The required probability =0.02764

Only 2.7% of the time will the sample mean be shorter than 16.4 inches.

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Answer:

SAS, because vertical angles are congruent.

To calculate the number of days Sonia needs to work to earn $3402 and how much she will earn. Sonia earned $1260 over five days. Thus, if she works for 14 days, Sonia will earn: 252 * 14 = $3528.

Let's assume that Sonia earns a constant amount per day for distributing propaganda. We can set up the following proportion:

1260 / 5 = 3402 / x

To solve for x, we cross-multiply and solve for x:

1260 * x = 3402 * 5

1260 * x = 17010

Dividing both sides of the equation by 1260, we find:

x = 17010 / 1260

x ≈ 13.5

Therefore, Sonia will need to work approximately 13.5 days to earn $3402. Since we can't have a fraction of a day, we need to round up to the nearest whole number, so Sonia will need to work 14 days to earn $3402.

To calculate how much she will earn, we can multiply the number of days worked by her daily earnings. Since Sonia earned $1260 over 5 days, her daily earnings would be:

1260 / 5 = $252 per day

Thus, if she works for 14 days, Sonia will earn:

252 * 14 = $3528.

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The conclusion should be made, because the p-value is less than 0.05, the null hypothesis should not be rejected. (Option - C is correct answer)

Given that,

A company executive claims that employees in his industry get 100 junk emails per day.

Here are the data: 125, 101, 109, 94, 122, 92, 119, 90, 118, 122.

A null hypothesis is a type of statistical hypothesis that proposes that no statistical significance exists in a set of given observations. Hypothesis testing is used to assess the credibility of a hypothesis by using sample data. Sometimes referred to simply as the "null," it is represented as H0.

A probability is a number that reflects the chance or likelihood that a particular event will occur. Probabilities can be expressed as proportions that range from 0 to 1, and they can also be expressed as percentages ranging from 0% to 100%.

A null hypothesis is a type of assumption used in statistics indicating that there is no significant difference between the samples from the underlying population. It is also known as the default hypothesis, represented by H0.

Appropriate hypothesis for the given problem is,

H0: μ = 100 versus Ha: μ ≠ 100, where μ = the true mean number of junk emails received this day by employees of this company.

Therefore,

The conclusion should be made, because the p-value is less than 0.05, the null hypothesis should not be rejected. (Option - C is correct answer)

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speed= distance/ time

= 1580/32/15

=1580/32 ×15

=740.625 km/hrs

11:55 - 12:00= 5mins

12:00 - 14:03= 2hrs 3mins

total time:

=5 mins + 2hrs 3 mins

= 2hrs 8 mins

= ( 2 + 8/60) hrs

= 2 + 2/15

= 32/15 hrs

The correct matching of the ordered pairs and the line they are on are:

The slope of the first pair is:

= (3 - (-3)) / (-5 - (-5))

= No slope as slope is 0

The slope of the second pair is:

= (-7 - (-1)) / (-1 - (-7))

= -1

The slope for the third pair is:

= (-2 - (-2)) / (6 - (-6))

= 0 or No slope

Rest of the question is:

slope = -1

No slope

No slope

slope = 2

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Answer: vertical line- (-5,-3) and (-5,3)

neither- (-7,1) and (-1,-7)

horizontal line- (-6,-2) and (6,-2)

hopefully this helps

Step-by-step explanation:

Answer:

100 chocolate bars

Step-by-step explanation:

30 ÷ 3 = 10 so you need to times 10 by 10?

hope that helps!

Answer:

10 >= 4(r-.60)

Step-by-step explanation:

Let r be the regular price of a box of cereal

The sale price is .60 off

New price is r-.60

She wants to buy 4 boxes, so multiply the new price by 4

4(r-.60)

She only has 10 dollars so the price must be less than or equal to 10 dollars

10 >= 4(r-.60)

In order to determine the integer that makes true the given expression:

______ x 7 = -14

consider that such integer must be equal to the quotient between -14 and 7:

-14/7 = -2

In fact, you have:

-2 x 7 = -14

Hence, the integer is -2

Answer:

$7.50

Step-by-step explanation:

Have a good day

Answer:

We will need to shade the region above f(x) and the region below the function g(x).

How to transform the graph into the solution set?

We have:

f(x) = x^2 - 1

g(x) = -x^2 + 4

Both of these are already graphed, and we want to transform it into:

y > f(x)

y ≤ g(x)

The first inequality means that we need to graph f(x) with a dashed line, because f(x) is not part of the solution, and then we shade all the region above f(x).

For the other inequality, we use a solid line (because the points on the line are solutions) and then we shade the part below the curve.

Answer:

B. Equilateral, and C. Acute.

Step-by-step explanation:

Answer:

A.

B.

C.

Step-by-step explanation:

A P E X

Answer:

-5/3 would be the greatest.

because 5/3= -1.66666666667

The future value of an annuity of $500 per year for 12 years, with an interest rate of 5%, can be calculated using the future value of an ordinary annuity formula. The future value is approximately $7,005.53.

To calculate the future value of an annuity, we can use the formula:

FV = P * [(1 + r)^n - 1] / r

Where:

FV is the future value of the annuity,

P is the annual payment,

r is the interest rate per compounding period,

n is the number of compounding periods.

In this case, the annual payment is $500, the interest rate is 5% (or 0.05), and the number of years is 12. As the interest is compounded annually, the number of compounding periods is the same as the number of years.

Plugging the values into the formula:

FV = $500 * [(1 + 0.05)^12 - 1] / 0.05

= $500 * [1.05^12 - 1] / 0.05

≈ $500 * (1.795856 - 1) / 0.05

≈ $500 * 0.795856 / 0.05

≈ $399.928 / 0.05

≈ $7,998.56 / 100

≈ $7,005.53

Therefore, the future value of the annuity of $500 per year for 12 years, with a 5% interest rate, is approximately $7,005.53.

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The first step is to determine the value for c. We know that the joint probability mass function must sum to 1 over all possible values of X and Y. So, we can write:

∑∑ \(f_{xy}\)(x,y) = 1

Substituting the given function \(f_{xy}\)(x,y) = c(x + y) for each combination of x and y, we have:

c(1+1) + c(1+2) + c(1+3) + c(2+1) + c(2+2) + c(2+3) + c(3+1) + c(3+2) + c(3+3) = 1

Simplifying this equation, we get:

12c = 1

Therefore, the value of c is 1/12

Now, we can use this value to calculate the covariance between X and Y. The covariance measures the degree to which two random variables vary together. It is defined as

cov(X,Y) = E[XY] - E[X]E[Y]

where E[XY] is the expected value of the product of X and Y, and E[X] and E[Y] are the expected values of X and Y, respectively.

To calculate E[XY], we use the joint probability mass function:

E[XY] = ∑∑ xy \(f_{xy}\)(x,y)

Substituting the given function \(f_{xy}\)(x,y) = c(x + y) for each combination of x and y, we have,

E[XY] = c(1+1) + 2c(1+2+2+3) + 3c(1+3+3+2)

Simplifying this equation, we get,

E[XY] = 28/12

To calculate E[X] and E[Y], we use the marginal probability mass functions:

fx(x) = ∑y \(f_{xy}\)(x,y)

fy(y) = ∑x \(f_{xy}\)(x,y)

Substituting the given function \(f_{xy}\)(x,y) = c(x + y) for each combination of x and y, we have:

fx₁ = 2c

fx₂ = 4c

fx₃ = 6c

fy₁ = 2c

fy₂ = 4c

fy₃= 6c

Using these marginal probability mass functions, we can calculate E[X] and E[Y]:

E[X] = ∑x x fx(x) = 2c + 8c + 18c = 28/12

E[Y] = ∑y y fy(y) = 2c + 8c + 18c = 28/12

Therefore, the covariance between X and Y is:

cov(X,Y) = E[XY] - E[X]E[Y] = 28/12 - (28/12)(28/12) = -4/144

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To simplify the expression 20 - (3)(12) + 42, we need to follow the order of operations, which states that we should perform multiplication and division before addition and subtraction. The simplified expression is 26.

First, let's perform the multiplication inside the parentheses:

20 - (3)(12) + 42

20 - 36 + 42

Next, we perform the addition and subtraction from left to right:

20 - 36 + 42

-16 + 42

Finally, we perform the addition:

-16 + 42 = 26

Therefore, the simplified expression is 26.

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