A bee flies for 4.0 min at 32.5 in/min find the bees distance in ft

Work Shown:

y = 15.6 - 3.8x

y = 15.6 - 3.8*3

y = 4.2

Answer:

164.16 is the answer

Step-by-step explanation:

hwhshshhs

Answer:

\(y = 3x + _ 2\)

Step-by-step explanation:

The graph of y = 3^x will pass through the point (0, 1).  This graph passes through the point (-3, 1); it has been shifted to the left 3 units.

A function can be translated, or shifted, to the left by adding a number to x before the function is applied; in this case, it means adding 3 to x before the base is raised to the power.  This gives us

This graph has also been translated, or shifted, down 2 units.  This can be done by subtracting a number from the end of the function; this gives us

If Jenny worked the same shifts as Susan and had the same income of $7,000 last year, then she do not need to file a tax return because  her total income is below the filing threshold.

Whether Jenny needs to file a tax return or not depends on her total income and the types of income she received.

If Jenny had the same income of $7,000 last year as Susan and is single with no dependents,

She will not be required to file a federal tax return for the 2022 tax year as long as her total income is below the filing threshold because for tax year 2022, the filing threshold for single taxpayers under the age of 65 is $12,950.

Therefore , Jenny do not need to file a tax return .

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Q=4P

Step-by-step explanation:

4=4(1)

32=4(8)

60=4(15)

When each data value in one sample is matched with a corresponding data value in another sample, the samples are known as matched pairs.

Matched pairs refer to a specific type of data collection where two sets of data are linked together based on a common characteristic. This method is often used in research studies and experiments to compare the effects of different treatments or conditions on the same group of individuals. By matching data values in one sample with corresponding values in another sample, researchers can control for individual differences and isolate the impact of the treatment or condition being studied. This helps to minimize the influence of confounding variables and increases the validity of the results. Matched pairs design is particularly useful when working with small sample sizes or when it is difficult to obtain a large, random sample. By using matched pairs, researchers can enhance the precision and reliability of their findings.

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The number of small size and large size bowls of ice cream sold in the shop is 40 and 22 respectively.

let

Number of small bowl = x

Number of large bowl = y

x + y = 63

2.25x + 3y = 159

From (1)

x = 63 - y

Substitute into (2)

2.25x + 3y = 159

2.25(63 - y) + 3y = 159

141.75 - 2.25y + 3y = 159

- 2.25y + 3y = 159 - 141.75

0.75y = 17.25

divide both sides by 0.75

y = 17.25 / 0.75

y = 23

Substitute y = 23 into (1)

x + y = 63

x + 23 = 63

subtract 23 from both sides

x = 63 - 23

x = 40

In conclusion, The ice cream shop sold 40 small size bowls and 23 large size bowls

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To find the 90% confidence interval for the mean amount of drug in all the pills manufactured by the company, we can use the following formula: CI = X ± Zα/2 * (σ/√n).

Where:

X = sample mean = 325.5 mg
σ = sample standard deviation = 10.3 mg
n = sample size = 80
Zα/2 = the critical value of the standard normal distribution corresponding to a 90% confidence level, which is 1.645.

Plugging in the values, we get:

CI = 325.5 ± 1.645 * (10.3/√80)
CI = 325.5 ± 2.38
CI = (323.12, 327.88)

Therefore, we can say with 90% confidence that the mean amount of drug in all the pills manufactured by the company is between 323.12 mg and 327.88 mg.


1. Calculate the standard error (SE) by dividing the standard deviation by the square root of the sample size:
SE = 10.3 mg / √80 ≈ 1.15 mg

2. Find the critical value (z) for a 90% confidence interval using a standard normal distribution table or calculator. In this case, the critical value is approximately 1.645.

3. Calculate the margin of error (ME) by multiplying the critical value (z) by the standard error (SE):
ME = 1.645 × 1.15 mg ≈ 1.89 mg

4. Determine the confidence interval by adding and subtracting the margin of error from the sample mean:
Lower Limit = 325.5 mg - 1.89 mg ≈ 323.61 mg
Upper Limit = 325.5 mg + 1.89 mg ≈ 327.39 mg

Thus, the 90% confidence interval for the mean amount of drug in all the pills manufactured by the company is approximately 323.61 mg to 327.39 mg.

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Answer:

\( \frac{7}{2} \\ = 3 \frac{1}{2} \)

The given statement is false becasue If the p-value of the coefficient of an X variable in a regression is 0.001, then it suggests that there is significant evidence that the coefficient is different from 0 in the population regression line.

A p-value is a value that represents the probability of obtaining the observed results of a statistical hypothesis test. The p-value is used as an alternative to rejection point to give the smallest level of significance at which the null hypothesis would be rejected. It can be used to test hypotheses in statistics.

If the p-value is less than the significance level (α), then the null hypothesis is rejected. However, if the p-value is greater than the significance level (α), then the null hypothesis is not rejected. Therefore, we reject the null hypothesis if the p-value is less than or equal to the level of significance.

So, if the p-value of the coefficient of an X variable in a regression is 0.001, it suggests that the coefficient is statistically significant and different from 0 in the population regression line. Hence, the statement "it is reasonable to say that the coefficient of the X variable is 0 in the population regression line" is false.

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Answer:

\(a. \quad \dfrac{\boxed{1}}{\boxed{3}}} \cdot \dfrac{\boxed{1}}{\boxed{2}}} = \dfrac{\boxed{1}}{\boxed{6}}}\\\\\\\\b. \quad \dfrac{\boxed{1}}{\boxed{3}}} \cdot \dfrac{\boxed{1}}{\boxed{3}}} = \dfrac{\boxed{1}}{\boxed{9}}}\\\\\\\\c. \quad \dfrac{\boxed{21}}{\boxed{26}}} \cdot \dfrac{\boxed{5}}{\boxed{26}}} = \dfrac{\boxed{105}}{\boxed{676}}}\\\)

Step-by-step explanation:

a.

When rolling a die(number cube) the sample space which is the set of all possible outcomes is {1, 2, 3, 4, 5, 6}

The probability of getting any single number on the face is the same = 1/6

For the first cube
P(3) = 1/6 and P(4) = 1/6
P(3 or 4) = P(3) + P(4) = 1/6 + 1/6 = 2/6 = 1/3

For the second cube
P(odd) = P(1 or 3 or 5) = P(1) + P(3) + P(5) = 1/6 + 1/6 + 1/6 = 3/6 = 1/2

So the combined probability that the first cube shows 3 or 4 and the second an odd is given by
1/3 · 1/2 = 1/6

b.
There are three coins a penny, dime and quarter

Probability of selecting a penny = number of pennies/total number of coins = 1/3

Since we are replacing the selected coin for the second draw, the probability of selecting a penny is just the same as before = 1/3

P(selecting 2 pennies with replacement) = 1/3 · 1/3 = 1/9

c.

There are a total of 26 letters in the alphabet
There are 5 vowels in the alphabet: A, E, I, O, U

Therefore there are 26 - 5 = 21 consonants

P(drawing a consonant) = 21/26

P(drawing a vowel) = 5/26

Since we are replacing the first drawn letter, these probabilities do not change with successive draws.

Therefore
P(consonant first draw and vowel second draw)

= P(consonant) · P(vowel)

= 21/26 · 5/26

=105/676

Answer: I believe its 274

Step-by-step explanation: Divide 8 by 0.1 and add 12+1=13 then multiply 13 by 3 and subtract it

hope this helps

Chenn was here!

Step-by-step explanation:

remember : any "dot" operation comes before any "dash" operation.

so, every multiplication or division has to be done before any addition or subtraction is done.

the priority is

1. brackets

2. exponents

3. multiplication and divisions

4. additions and subtractions

for operations on the same level we usually go left to right.

I am not sure what the problem is to keep that in mind.

but it is essential that you do.

so, what you have here is

(8÷0.1 + 12×3) - 2

8÷0.1 = 80

12×3 = 36

80 + 36 = 116

116 - 2 = 114

so, the result is 114.

I hope this helps.

There are 187.425 pounds in 85 kilograms. The solution has been obtained by using the unit conversion.

What is unit conversion?

The same feature is expressed in a different unit of measurement using a unit conversion. For instance, you may represent time in minutes rather than hours or distance in feet rather than miles. It happens frequently when measurements are given in one set of units, like feet, but are demanded in another set, like chains.

We are given 85 kilograms which are to be converted into pounds.

We know that 1 kilogram = 2.205 pounds(approx)

So,

⇒85 kilograms = 85 * 2.205

⇒85 kilograms = 187.425 pounds

Hence, there are 187.425 pounds in 85 kilograms.

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In the given proof shown below, the idea of tangents and perpendicularity is used to set up a relationship between two lines, AR and BS.

The tangent is a term that is used to tell more or described as the  point of contact between a circle or an ellipse and a single line.

Based on the fact  that the tangent line is perpendicular to radius of the circle.

Hence, AR ⊥ RS and BS ⊥ RS

Therefore, AR and BS ⊥ similar to line RS.

So,  the line AR or BS are said to be either in same line or parallel. because , they are the radius of different circles.

Therefore, AR ║BS.

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Answer:

1932 credit hours

Step-by-step explanation:

Create a proportion

credits             credits

----------     =      ----------

students          students

14      ?

---- = -----

1         138

14 times 138

1932 credit hours

Answer:

64 square centimeters

Step-by-step explanation:

The surface are of a pyramid is found by finding the sum of the area of the four sides and the base.

Finding the triangular face:

Area of triangle = \(\frac{1}{2} b h\) = \(\frac{1}{2}*4*6 = 12\)

12 * 4 (4 sides) = 48 square cm

Finding the Base = \(w * l = 4 * 4 = 16\)

Finally, we add it together. 48 + 16 = 64

There are 120 unique orders in which five items (a, b, c, d, e) can be arranged. Correct option is D.

The number of unique orders in which five items (a, b, c, d, e) can be arranged is a classic example of a permutation problem. Permutation refers to the arrangement of objects, where the order of the objects is important. For example, if we have 5 objects A, B, C, D, and E, there are 5! = 5 × 4 × 3 × 2 × 1 = 120 unique arrangements or permutations.

To solve this problem, we can use the formula for permutations, which is given by:

n! / (n - r)!

where n is the total number of objects and r is the number of objects in each permutation.

In this case, we have 5 objects and we want to arrange them all, so r = 5. Therefore, the number of unique orders in which five items (a, b, c, d, e) can be arranged is:

5! / (5 - 5)! = 5! / 0! = 5 × 4 × 3 × 2 × 1 = 120

Therefore, the answer is (d) 120.

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Answer:

Explanation:

Given:

Qd = 479 - 3P

where:

Qd = the quantity of residential landscape cleanings per week that people in the local area would be willing to purchase

P = monthly price in dollars

We plug in the given price of 39 dollars per month into Qd = 479 - 3P. So,

Therefore, the quantity demanded at a price of 39 dollars per month is 362.

Answer:

x=-5

Step-by-step explanation:

x=10/5 - 7

x=2-7

x=-5

Answer: (0,-2)

hope that answered your question

Converting 1,000 mg to 1 gram would require moving the decimal place zero places to the left.

Unit conversion is a process with multiple steps that involves multiplication or division by a numerical factor or, particularly a conversion factor. The process may also require selection of the correct number of significant digits, and rounding. Different units of conversion are used to measure different parameters. By definition conversion of units means the conversion between different units and measurements of the same quantity done by the process of multiplication or division. In maths, conversion is the process of changing the value of one form to another for example inches to millimeters, or liters to gallons. Units are used for measuring length, measuring weight, measuring capacity, measuring temperature, and measuring speed.

If we want to calculate how many Grams are 1000 Milligrams we have to multiply 1000 by 1 and divide the product by 1000. So for 1000, we have (1000 × 1) ÷ 1000 = 1000 ÷ 1000 = 1 Gram.

So finally 1000 mg = 1 g

Thus, converting 1,000 mg to 1 gram would require moving the decimal place zero places to the left.

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Gathering together representatives from various organizations that have an interest in a particular policy, defining goals, setting an agenda, and devising strategies for action are all major components of policy formulation and implementation through collaborative processes.

Collaborative policy-making involves bringing together stakeholders from diverse organizations, such as government agencies, non-profit organizations, advocacy groups, and industry representatives, to collectively address complex policy issues. This participatory approach aims to foster cooperation, dialogue, and shared decision-making among stakeholders. The first step involves gathering representatives from these organizations to ensure a comprehensive representation of perspectives and interests. Once assembled, the stakeholders work together to define common goals, set an agenda, and develop strategies for action. This collaborative effort allows for the pooling of knowledge, expertise, and resources, enabling stakeholders to collectively shape policies that are more inclusive, effective, and sustainable. By involving various stakeholders in the policy formulation process, collaborative approaches promote transparency, legitimacy, and buy-in from those who will be affected by the policy. This helps to enhance the quality of decision-making, build consensus, and increase the chances of successful policy implementation.

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The labor hours required for the eighth satellite are calculated to be 51,200 based on a learning curve value of 0.5120 and an expected improvement curve of 80%.

The learning curve concept suggests that as the cumulative production doubles, the labor hours required to produce each unit decrease by a certain percentage. In this case, the learning curve value for the eighth unit is given as 0.5120, which means that the labor hours needed for the eighth satellite is 51.20% of the labor hours required for the first unit.

To calculate the actual number of labor hours, we multiply the learning curve value by the total labor hours required for the first unit. Given that the total labor hours for the first unit is 100,000, we can calculate the labor hours for the eighth satellite as follows: 0.5120 * 100,000 = 51,200.

Therefore, based on the given learning curve value and the expected improvement curve of 80%, the number of labor hours for the eighth satellite is determined to be 51,200.

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Answer:

X=6

Step-by-step explanation:

Simplify:

(2p^3x)^3 = 8p^54 into:

2p^3x = 2p^18

p^3x = p^18

3x = 18

x=6

that a cross bed forms due to the piling of sediment down the front of a dune or ripple.

a cross bed forms due to:

d) the piling of sediment down the front of a dune or ripple.

cross bedding is a sedimentary structure that occurs when layers of sediment are inclined or deposited at an angle to the main bedding plane. it typically forms in environments where wind or water currents cause the migration of sediment. when sediment accumulates on the front of a dune or ripple, it forms inclined layers or sets of cross beds.

as the wind or water current moves the sediment, it causes the formation of inclined layers that are deposited at an angle to the horizontal bedding plane. this process creates cross bedding. the inclined layers can often be observed in rocks or sedimentary deposits, providing evidence of the past environmental conditions in which they were formed.

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The value of a and b include the following:

a = 7

b = -1.

In Mathematics and Geometry, a function can be defined as a mathematical equation which is typically used for defining and representing the relationship that exists between two or more variables such as an ordered pair in tables or relations.

Based on the information provided above, we have the following functions;

f(x) = 5x + 3    ....equation 1.

g(x) = ax + b     ....equation 2.

From equation 2, we have;

g(3) = 20

g(3) = a(3) + b

20 = 3a + b      ....equation 3.

From equation 1, the inverse function is given by;

f(x) = y = 5x + 3

x = (y - 3)/5      ....equation 4.

f⁻¹(33) = g(1)

(33 - 3)/5 = g(1)

30/5 = g(1)

6 = g(1)

g(1) = a(1) + b

6 = a + b      ....equation 5.

By solving equations 3 and 5 simultaneously, we have:

20 = 3a + b

6 = a + b

a = 7 and b = -1.

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The first law of thermodynamics is a fundamental principle in physics that states energy cannot be created or destroyed, only converted from one form to another. It can be expressed in terms of heat and work through the equation:

ΔU = q - w

where ΔU represents the change in internal energy of a system, q represents the heat added to the system, and w represents the work done on or by the system.

Now, let's address when the quantities q and w would be negative numbers.

1) When q is negative: This occurs when heat is removed from the system, indicating an energy loss. For example, when a substance is cooled, heat is extracted from it, resulting in a negative value for q.

2) When w is negative: This occurs when work is done on the system, decreasing its energy. For instance, when compressing a gas, work is done on it, leading to a negative value for w.

In both cases, the negative sign indicates a reduction in energy or the transfer of energy from the system to its surroundings.

In summary, the first law of thermodynamics can be expressed as ΔU = q - w, and q and w can be negative numbers when energy is lost from the system through the removal of heat or when work is done on the system.

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Answer:

y = \(\frac{1}{3}\) x

Step-by-step explanation:

the equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

here slope m = \(\frac{1}{3}\) , then

y = \(\frac{1}{3}\) x + c ← is the partial equation

to find c substitute (- 9, - 3) , that is x = - 9, y = - 3 into the partial equation

- 3 = \(\frac{1}{3}\) (- 9) + c = - 3 + c ( add 3 to both sides )

0 = c

y = \(\frac{1}{3}\) x + 0 , that is

y = \(\frac{1}{3}\) x

Answer:

60 inches

Step-by-step explanation:

12 feet=144 inches

28in x 3 = 84

144-84= 60

Sarah is left with 60 inches of the board, after cutting three pieces of 28 inches of the board from 12 feet long board which is equal to 144 inches converted using the conversion factor.

The conversion of units is the process of converting a quantity between multiple units of measurement, usually using multiplicative conversion factors.

The conversion factor between inch and foot are:

1 foot = 12 inches,

or, 1 inch = 1/12 feet.

We are informed that Sarah has a wooden board that is 12 feet long.

We are asked that if she cuts three 28-inch pieces from the board, how many inches of the board will she have left.

To solve the problem, we convert the length of the wooden board from feet to inches.

The board is 12 feet long. We know 1 foot = 12 inches.

∴ 12 feet = 12*12 inches = 144 inches.

∴ Length of the board = 144 inches.

Size of the piece cut by Sarah = 28 inches.

She cuts 3 such pieces,

∴ Total piece of board cut = 3*28 inches = 84 inches.

∴ Length of the board Sarah is left with = Total length of the board - Total piece cut from the board = 144 - 84 inches = 60 inches.

∴ Sarah is left with 60 inches of the board, after cutting three pieces of 28 inches of the board from 12 feet long board which is equal to 144 inches converted using the conversion factor.

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Answer: b. 1923

Step-by-step explanation: