a cannery claims that its sardine cans have a net weight of 8 oz. you take a simple random sample of 30 cans and encounter a sample mean of 7.85 oz, with a standard deviation of 0.1 oz. what is the probability of seeing a sample mean of less than or equal to 7.85 oz if the true mean is 8 oz? report your answer with no more than two decimal places if needed.

(1) As a result, the Monitor costs $275 to buy online. (2) There is a 20% price disparity between the two retailers.

10,000 pairs of shoes are ordered by Shoes Unlimited from an overseas vendor. This entails the business issuing a purchase requisition, which serves as a formal promise to buy the specified kind and number of shoes.

(a) To find the price of the TV when purchased online, we can add 25% markup to the manufacturer's price of $220:

Price online = $220 + (0.25 * $220)

Price online = $220 + $55

Price online = $275

So the price of the TV when purchased online is $275.

To find the price of the TV when purchased at the superstore, we can add 45% markup to the manufacturer's price of $220:

Price at superstore = $220 + (0.45 * $220)

Price at superstore = $220 + $99

Price at superstore = $319

So the price of the TV when purchased at the superstore is $319.

(b) The difference between the prices in part (a) is:

Price at superstore - Price online = $319 - $275 = $44

The difference in markup between the two stores is:

Markup at superstore - Markup online = 45% - 25% = 20%

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The ordered pair (0,1) is not a solution to the inequality, as the line is dashed, meaning that points exactly on the line are not solutions to the inequality.

The general format of an ordered pair is given as follows:

(x,y).

For the ordered pair (0,1), we have that the coordinates are given as follows:

Hence the point is exactly at y = 1 on the y-axis, where the line crosses the y-axis. However, the line is dashed, meaning that it is not part of the solution.

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After converting from Celsius to Fahrenheit 70 degrees Celsius is equivalent to 158 degrees Fahrenheit.

To convert Celsius to Fahrenheit, you can use the following formula:

°F = (°C x 9/5) + 32

In this case, to convert 70 degrees Celsius to Fahrenheit, we can substitute 70 for °C in the formula:

°F = (70 x 9/5) + 32

Simplifying this expression, we can first perform the multiplication and division:

°F = (126) + 32

Then we can add 126 and 32 to get the final answer:

°F = 158

It's worth noting that the Celsius and Fahrenheit scales are both used to measure temperature, but they have different starting points and different degrees of scale. Celsius is based on the freezing and boiling points of water, where 0 degrees Celsius is the freezing point and 100 degrees Celsius is the boiling point at sea level.

Fahrenheit, on the other hand, is based on a system of degrees devised by Gabriel Fahrenheit, with 32 degrees being the freezing point and 212 degrees being the boiling point at sea level.

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The given function is f(x) = 3x.

To find the y-intercept, we plug in x = 0:

f(0) = 3(0) = 0

So the y-intercept is 0.

The domain of the function is given as (-2, -1, 0, 1, 2}. This means that the function is defined only for these values of x.

The range of the function is all real numbers, since for any real number y, we can find an x such that f(x) = y. We can see this from the fact that the function is a linear function with a non-zero slope.

The end behavior of the function as x approaches infinity depends on the sign of the coefficient of x, which is positive in this case. Therefore, as x → ∞, f(x) → ∞. Similarly, as x → -∞, f(x) → -∞.

Note that the given domain is a finite set of values, and does not affect the end behavior of the function as x approaches infinity or negative infinity...

500 minutes are equal to 8 hours and 20 minutes.

Time is a valuable commodity that we must use wisely. We measure it in seconds, minutes, hours, days, weeks, months, and years. It is important to be able to convert time units so that we can manage our schedule efficiently.

To convert minutes to hours, we need to divide the number of minutes by 60, which is the number of minutes in an hour. Therefore,

500 minutes ÷ 60 minutes/hour = 8.33 hours

However, this answer is in decimal form, which is not a typical way to represent time. We want to express it in hours and minutes.

To do so, we will use the fact that there are 60 minutes in an hour. Therefore, we can multiply the decimal part of the answer by 60 to get the remaining minutes.

0.33 hours x 60 minutes/hour = 20 minutes

So, 500 minutes is equivalent to 8 hours and 20 minutes.

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Answer:

AC=9CM

Step-by-step explanation:

Since ABCD is a kite, we know that the two diagonals, AC and BD, intersect at right angles and that the two pairs of adjacent sides are congruent. Therefore, we have:

AC = BD and AB = BC = CD = DA

We also know that DE = EB, which means that triangle ADE is congruent to triangle BEC (by the side-side-side congruence rule), so we have:

AD = BC and AE = EC

AD=5cm and DC=4cm

Combining these equations, we have:

AC = AD + DC

AC=5cm+4cm=9cm

Answer:

1=24.5

Step-by-step explanation:

2*2=98

4=98

2= 49

which means

1 is 24.5

The equation y = (x - 2)² - 5 below could be the one for this parabola. Option B is the correct answer.

A parabola is formed by cutting a right circular cone in half along a plane perpendicular to the cone's generator. It is a locus of a moving point whose separation from the focus is equal to its separation from a stationary line (directrix)

Focus is a fixed point.

Directrix is the name for fixed line.

The equation of the parabola is given by the formula:

y = a(x - Vₓ)² + Vy

Here, Vx and Vy are the coordinates of the vertex of the parabola.

Substituting the value of coordinates of vertex we have:

y = a(x - 2)² - 5

Hence, the equation y = (x - 2)² - 5 below could be the one for this parabola. Option B is the correct answer.

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Answer:

28.79 cm.

Step-by-step explanation:

The perimeter of a semicircle is equal to the sum of the diameter (which is twice the radius) and half of the circumference of the circle.

The diameter of the semicircle is 2 × 5.6cm = 11.2cm.

The circumference of a full circle with radius 5.6cm is 2π × 5.6cm = 11.2π cm.

Therefore, the circumference of the semicircle is 1/2 of the circumference of the full circle, which is 1/2 × 11.2π cm = 5.6π cm.

The perimeter of the semicircle is the sum of the diameter and the circumference, which is:

11.2cm + 5.6π cm ≈ 28.79cm (rounded to two decimal places)

Therefore, the perimeter of the semicircle is approximately 28.79 cm.

Answer:

pi ( 5.6 ) + 11.2 or approximately 28.79291 cm

Step-by-step explanation:

The outside of the semicircle or the perimeter is 1/2 of the circumference and the length that closes the circle is the diameter.

Perimeter = 1/2 C + d

                 = 1/2 *pi*d + d

The diameter is 2 times the radius.

                 = 1/2 ( pi) * (2r) + 2r

                  = pi r + 2 r

                   = pi ( 5.6 ) + 11.2

Approximating pi, we get approximately 28.79291

The factor tree shows how 78 can be factored into its prime factors.

78 = [tex]2 \times 3 \times 13.[/tex]

The first step in creating a factor tree for the number 78 is to identify two factors of 78 that sum up to 78. One such pair of factors is 6 and 13. After we reach prime numbers, we can carry on breaking down each component.

Prime factorization is the process of converting a composite number into the product of its prime factors. A prime factor is a prime number that divides the original integer by itself with no remainder.

The prime factorization of the number 78 is

78 = 6 x 13

78 = 2 x 3 x 13.

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The 6 times table is a multiplication table that shows the results of multiplying any number by 6.

It is a fundamental arithmetic skill that students typically learn in elementary school, and is an important building block for more advanced math concepts.

To generate the 6 times table, you simply multiply 6 by each whole number starting with 1, and continue the pattern up to a desired number. The first few products in the 6 times table are as follows:

1 x 6 = 6

2 x 6 = 12

3 x 6 = 18

4 x 6 = 24

5 x 6 = 30

6 x 6 = 36

7 x 6 = 42

8 x 6 = 48

9 x 6 = 54

10 x 6 = 60

...

and so on.

It is important for students to memorize the 6 times table, as it can be used to solve a variety of math problems involving multiplication, division, fractions, and decimals. Mastery of the 6 times table is also a key step in preparing for more advanced math concepts, such as algebra and calculus.

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103 in decimal terms can be denoted by simply dividing the term by 100 so the value will be given as 1.03.

The division method can be used to convert 103/100 to a decimal. Here is a brief recap on fractions before we go to the method: A fraction is a representation of a number that has been divided into two parts: the numerator, which is the number at the top, and the denominator, which is the number at the bottom. Divide the numerator (103 in this case) by the denominator (100 in this case) to produce a decimal using the division method:

100 (denominator) minus 103 (numerator) equals 1.03.

So there you have it! When you convert 103/100 to a decimal, the result is 1.03.

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Answer:

The total number of pizzas they will order is 2

Step-by-step explanation:

[tex]15*2=30[/tex]

30 slices total, so they need 2 pizzas for each person to get 2 slices of pizza.

Answer:

There are 1.91 cups in a pound

Answer:

x = -2

Step-by-step explanation:

-3x + 1 = 7

Subtract 1 from both sides:

-3x = 6

Divide -3 by both sides:

x = -2

Answer:

no because if one of the side is 2, if we calculate semi perimeter it will be 7.5 which is greater

The table given in the answer is an example of a conversion table that shows the decimal equivalents of powers of 16. The first row contains the values of 16 raised to the powers of 4, 3, 2, 1, and 0, respectively. The second row shows the equivalent decimal values of these powers of 16.                      

                                   16⁴      16³ 16² 16 1

                                  256 64 16 4 1

These values could also be expressed using radicals or rational numbers, but in this case, the decimal form is simpler and more commonly used.

This can be calculated as 16 x 16 x 16 x 16, which equals 65,536. Similarly, the second entry in the first row is 16³, which means 16 raised to the third power.

To understand why this is the case, we need to convert 16⁴ to decimal form. This can be done by multiplying each digit in the binary representation of 16⁴ by the corresponding power of 2 and adding up the results.

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A liter is a metric unit of volume, while a milliliter (ml) is a subunit of a liter. There are 1,000 milliliters in one liter.

This means that to convert liters to milliliters, you can multiply the number of liters by 1,000. Conversely, to convert milliliters to liters, you would divide the number of milliliters by 1,000.

For example, if you have 2.5 liters of water, you can convert this to milliliters by multiplying 2.5 by 1,000, which gives you 2,500 milliliters. This conversion is commonly used in fields such as chemistry and medicine, where small amounts of liquids are measured in milliliters.

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Answer:

$0.24 per m

Step-by-step explanation:

Refer to the images attached.

Answer:

Michelle has 18.9 yards of string. She cuts the string into 5 pieces of equal length. How long is each piece?

18.9 ÷ 5

Step-by-step explanation:

You're welcome.

Answer:We use the formula for exponential growth:P = Po exp(kt)Using the population data from 1993 to 1996, we can solve for the growth rate k76 = 72 exp(k(3))76/72 = exp(3k)ln (76/72) = 3kk = ln(76/72) / 3 = 0.0180In 10 years (2003), the population will be:P = Po exp(0.0180t)P = 72 exp(0.0180(10))P = 86.22 million

Step-by-step explanation:

The simplified form of sine of x over the quantity 1 plus cosine of x (end quantity)  is 1. Option D

The question can be interpreted as sin(x) / (1 + cos(x))

sin(x) / (1 + cos(x)) = (sin(x) / cos(x)) / (1/cos(x) + cos(x)/cos(x))

                      = tan(x) / (1 + sec(x))

                      = (sin(x)/cos(x)) / (cos(x)/(cos(x)+1))

                      = (sin(x)/cos(x)) / ((cos(x)+1)/cos(x))

                      = sin(x) / (cos(x) + 1)

Therefore, the simplified form of sin(x) / (1 + cos(x)) is:

sin(x) / (1 + cos(x)) = sin(x) / (cos(x) + 1) = 1

Hence, The simplified form of sine of x over the quantity 1 plus cosine of x (end quantity)  is 1

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Answer:5 and a tiny 4 in the corner of that 5

Step-by-step explanation:

there are four 5s so u do 5 with little 4

the probability that the man would have done at least as well as 22 out of 30 correct predictions by chance alone is approximately 0.149 or 14.9%, which suggests that his ESP claim may not be supported by the coin flip test results alone.

To determine the probability that the man would have gotten at least 22 correct coin flip predictions if he had no ESP, we can use a statistical tool called a binomial distribution. Assuming the coin is fair, the probability of getting any single coin flip prediction correct is 0.5, since there are only two possible outcomes (heads or tails) and they are equally likely. We can use this probability to calculate the probability of getting exactly 22 correct predictions out of 30 coin flips, which is:

P(X = 22) = (30 choose 22) {multiply} 0.5^22 {multiply} 0.5{power}8 = 0.099

This means that the probability of getting exactly 22 correct predictions by chance is less than 10%. However, the question asks for the probability of getting at least 22 correct predictions, which includes the probabilities of getting 23, 24, 25, 26, 27, 28, 29, or 30 correct predictions as well.              

To calculate this cumulative probability, we can add up the probabilities of getting each of these outcomes separately:

P(X >= 22) = P(X = 22) + P(X = 23) + ... + P(X = 30)

Using a binomial distribution table or calculator, we can find that this cumulative probability is approximately 0.149.

Therefore, the probability that the man would have done at least as well as 22 out of 30 correct predictions by chance alone is approximately 0.149 or 14.9%, which suggests that his ESP claim may not be supported by the coin flip test results alone.

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A scatter plot of the data is shown below.

The best-fitting line for the data is y = -10t + 165.8.

The predicted number of adult softball teams in 2010 is 56 thousands adult softball teams.

In order to determine a linear equation for the line of best fit (trend line) that models the data points contained in the table, we would have to use a graphing calculator (scatter plot).

In this scenario, the number of years would be plotted on the x-axis of the scatter plot while the number of teams (thousands) would be plotted on the y-axis of the scatter plot.

On the Excel worksheet, you should right click on any data point on the scatter plot, select format trend line, and then tick the box to display an equation for the line of best fit (trend line) on the scatter plot.

From the scatter plot (see attachment) which models the relationship between the number of years and teams (thousands), a linear equation for the line of best fit is given by:

y = -10t + 165.8

Next, we would determine the predicted number of adult softball teams in 2010:

Years, t = 2010 - 1999 = 11 years.

y = -10(11) + 165.8

y = -110 + 165.8

y = 55.8 ≈ 56 thousands adult softball teams.

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The number 25 can be represented as a decimal by simply writing it as 25.0 or 25.00

The number 25 can be represented as a decimal by simply writing it as 25.0 or 25.00. This is because decimal notation is a way of writing numbers that uses a decimal point to separate the whole number part from the fractional part.

In this case, since 25 is a whole number and has no fractional part, we can represent it in decimal form by adding a decimal point and a zero or two zeros after it to indicate that there are no decimal places.

Alternatively, we can also represent 25 as a decimal by dividing it by 1, which does not change its value, and then expressing the quotient as a decimal. Since 25 divided by 1 equals 25, we can write 25 as a decimal by dividing 25 by 1 and writing the quotient as follows:

25 ÷ 1 = 25.000000... (with the decimal places repeating indefinitely)

However, in most cases, it is sufficient to represent 25 as 25.0 or 25.00, since these notations convey that the number has no fractional part.

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(a) To find the probability that a randomly selected adult who visited a therapist during the past year also used antidepressants, we use the formula:

P(A|B) = P(A and B) / P(B)

where A is the event that an adult used antidepressants, and B is the event that an adult visited a therapist. We are given:

P(A) = 0.43

P(B) = 0.27

P(A and B) = 0.20

Plugging these values into the formula, we get:

P(A|B) = 0.20 / 0.27 ≈ 0.74

Therefore, the probability that a randomly selected adult who visited a therapist during the past year also used antidepressants is approximately 0.74.

(b) To find the probability that an adult visited a therapist during the past year, given that he or she used antidepressants, we use Bayes' theorem:

P(B|A) = P(A|B) * P(B) / P(A)

where A and B are defined as before. We have already calculated P(A|B) and P(B), and we know:

P(A) = 0.43

Plugging these values into Bayes' theorem, we get:

P(B|A) = (0.74 * 0.27) / 0.43 ≈ 0.47

Therefore, the probability that an adult visited a therapist during the past year, given that he or she used antidepressants, is approximately 0.47.

50cm is equal to 19.685 inches.

Measurement is a crucial aspect of our lives, and it helps us to determine the quantity, size, or amount of things. Different units of measurement are used to measure various objects, and it is essential to know how to convert from one unit to another. In this article, we will discuss how to convert 50cm to inches, which are both commonly used measurements.

To convert 50cm to inches, we need to know the conversion factor between centimeters and inches. One inch is equal to 2.54 centimeters, which means that we can convert centimeters to inches by dividing the measurement by 2.54.

So, to convert 50cm to inches, we need to divide 50 by 2.54. We can do this using a calculator or by long division.

50 / 2.54 = 19.685 inches

In this case, we have learned how to convert 50cm to inches, which involves dividing the measurement by 2.54.

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