Jasmine made a scale drawing of an office. The scale of the drawing was 4 inches : 3 feet. The desk is 8 inches long in the drawing. How long is the actual desk?

Step-by-step explanation:

Hindi ko poh alam ✌️

The problem involves calculating the probability of having 390 or more working devices in a box of 400 electronic devices, where each device works properly with a probability of 0.95. This type of problem can be solved using the binomial distribution.

The binomial distribution models the number of successful outcomes in a fixed number of independent Bernoulli trials. In this case, each device working properly can be considered as a Bernoulli trial with success probability 0.95. The total number of trials (i.e. devices) is 400.

Using the binomial distribution, we can calculate the probability of having exactly k successful outcomes (i.e. working devices) in n trials (i.e. devices). This probability is given by the formula:

P(k) = (\({n}_C_{k}\)) * p^k * (1-p)^(n-k)

where (n choose k) is the binomial coefficient, p is the success probability, and (1-p) is the failure probability.

To calculate the probability of having 390 or more working devices, we need to sum the probabilities of having 390, 391, 392, ..., 400 working devices:

P(390 or more) = P(390) + P(391) + ... + P(400)

This can be calculated using a binomial distribution calculator or by writing a program to calculate the binomial coefficient and probability for each value of k.

Finally, to express the result as a percentage, we need to multiply the probability by 100.

In conclusion, the percentage of boxes containing 390 or more working devices can be calculated using the binomial distribution, which models the number of successful outcomes in a fixed number of independent Bernoulli trials.

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The calculation \((9.04-8.23+21.954+81.0) \times 3.1416\) would have 4 significant figures.



To determine the number of significant figures in a calculation, we follow the rules for significant figures:

1. Addition and subtraction: The result should have the same number of decimal places as the measurement with the fewest decimal places.
2. Multiplication and division: The result should have the same number of significant figures as the measurement with the fewest significant figures.

Let's break down the calculation step by step:
\(9.04-8.23+21.954+81.0\) yields \(104.764\).

Now, multiplying this result by \(3.1416\) gives \(329.5719744\).

The measurement with the fewest significant figures in the calculation is \(3.1416\), which has 5 significant figures.

According to the rule for multiplication and division, the result should have the same number of significant figures as the measurement with the fewest significant figures. Hence, the result, \(329.5719744\), will be rounded to 4 significant figures.

Therefore, the calculation \((9.04-8.23+21.954+81.0) \times 3.1416\) would have 4 significant figures.

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In a sample of 8 years, the mean number of years that the mango tree does not give fruit is 4.96, the variance is 1.87, and the standard deviation is 1.37.

The mean, variance, and standard deviation for the number of years that a mango tree does not bear fruit in a sample of 8 different years, given a 38% chance of bearing fruit in a given year, can be calculated using probability theory and statistical formulas.

To begin, we can find the probability of the mango tree not bearing fruit in a given year, which is 1 - 0.38 = 0.62. Using this probability, we can construct a binomial distribution with n = 8 trials and p = 0.62 probability of success (not bearing fruit). The mean (expected value) of the distribution is given by μ = np = 8 x 0.62 = 4.96.

The variance of the distribution is given by the formula σ^2 = np(1-p), which in this case equals 8 x 0.62 x 0.38 = 1.87. Finally, the standard deviation of the distribution is the square root of the variance, which equals sqrt(1.87) = 1.37.

Therefore, the mean number of years that the mango tree does not bear fruit in a sample of 8 years is 4.96, the variance is 1.87, and the standard deviation is 1.37. This means that we can expect the mango tree to bear fruit approximately 3 times in the sample of 8 years.

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Answer:

26

Step-by-step explanation:

w = 5 so 7w is 7 x 5 = 35 and x = 9 so it’s 35 - 9 which is 26

Answer:

22

Step-by-step explanation:

66 ÷3=22

3= one third

Answer:

I am pretty sure it is 19 blocks because it is 14 blocks before going back home. She needs to walk 3 blocks west and 2 blocks south. 14+3+2=19

Step-by-step explanation:

Answer:

Option 2: (1, 0) and (0, -5)

Step-by-step explanation:

Let's solve this system of equations using the elimination method.

Start by labelling the two equations.

5x -y= 5 -----(1)

5x² -y= 5 -----(2)

(2) -(1):

5x² -y -(5x -y)= 5 -5

Expand:

5x² -y -5x +y= 0

5x² -5x= 0

Factorise:

5x(x -1)= 0

5x= 0 or x -1= 0

x= 0 or x= 1

Now that we have found the x values, we can substitute them into either equations to solve for y.

Substitute into (1):

5(0) -y= 5 or 5(1) -y= 5

0 -y= 5 or -y= 5 -5

y= -5 or -y= 0

y= 0

Thus, the solutions are (0, -5) and (1, 0).

The radius of convergence, r is 1 and interval of convergence, i, of the series. [infinity] (x − 14)n n2 1 n = 0 is [13, 15), including 13 but excluding 15.

To find the radius of convergence, we can use the ratio test:

lim |(x - 14)(n+1)^2 / n^2| = lim |(x - 14)(n+1)^2| / n^2

= lim (x - 14)(n+1)^2 / n^2

Since the limit of the ratio as n approaches infinity exists, we can apply L'Hopital's rule:

lim (x - 14)(n+1)^2 / n^2 = lim (x - 14)2(n+1) / 2n

= lim (x - 14)(n+1) / n

= |x - 14|

So the series converges if |x - 14| < 1, and diverges if |x - 14| > 1. Therefore, the radius of convergence is 1.

To find the interval of convergence, we need to check the endpoints x = 13 and x = 15.

When x = 13, the series becomes:

∑ [13 - 14]^n n^2 = ∑ (-1)^n n^2

This is an alternating series that satisfies the conditions of the alternating series test, so it converges.

When x = 15, the series becomes:

∑ [15 - 14]^n n^2 = ∑ n^2

This series diverges by the p-test.

Therefore, the interval of convergence is [13, 15), including 13 but excluding 15.

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Answer: hmmm

Step-by-step explanation:

The total employment compensation is $39304.

Arithmetic is the branch of mathematics that deals with the study of numbers using various operations on them. Basic operations of math are addition, subtraction, multiplication and division. These operations are denoted by the given symbols.

Given:

 Total job benefit=  $41,000 per year

  cell phone for work=$63 each month

 1 samples kits=  $235 each

  She paid = 4 samples kits last year.

According to given question we have

We know that in 1 year =12 month

The total amount she pays in one year on cell phone

=63 *12

=$ 756

 1 samples kits=  $235

 4 samples kits= 235 *4=$ 940

Total employment compensation

=$41,000 -($756+$ 940)

=$39304

Therefore, the total employment compensation is $39304.

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Answer:

C) 25.12 feet and $18.84

Step-by-step explanation:

C = 2(pi)(r)

Multiply feet by cost per foot

Answer:

(a)25.12 (b)$18.84

Step-by-step explanation:

(a) The circumference or perimeter of a circle is \(2\pi r\). Since we know that the radius of the garden is 4 we find that the circumference of the garden is \(8\pi\), but we can round \(\pi\) to 3.14, which gives us C 25.12 feet of fencing.

(b) We can plug in the circumference of the circle which we found in the first question into the equation \(circumference\times \0.75\) which gives us \(25.12\times \0.75\) or $18.84.

To solve this problem the first thing we have to do is identify our variables

The time taken by Janice will be represented by a j, and the time taken by Donald by a d.

• Donald builds the picnic table in hours: , 1/d, of the picnic table per hour

• Janice builds the picnic table ,j=d-2, in hours: ,1/(d-2), of the picnic table per hour

Now we will get our equation to solve

Janice and Donald worked together for 2 hours to build a picnic table, after which Donald continued working for 1 hour without Janice to finish the job.

We factor our equation to find Donald's time

They gave us 2 values but we discarded the value of d=1 because the joint calculations would give negative calculations then

1) Yes. Angle is 72

2) No

Answer:

Step-by-step explanation:

Answer:

aqui está sua resposta mano

Answer:

Two and hundredths

Step-by-step explanation: I'm in college so I think I am capable of answering a middle school question thank you very much, and make sure to mar me brainliest.

The transformation can be categorized by the dimensions of the operand sets, distinguishing between planar transformations and spaces. They can also be classified on their properties.

The  types of transformations are:

Dilation The image is a larger or smaller version of the preimage; "shrinking" or "enlarging."

Reflection The image is a mirrored preimage; "a flip."

Rotation The image is the preimage rotated around a fixed point; "a turn."

Shear All the points along one side of a preimage remain fixed while all other points of the preimage move parallel to that side in proportion to the distance from the given side; "a skew.,"

Translation The image is offset by a constant value from the preimage; "a slide."

Rigid transformation

When creating the image, a rigid transformation does not alter the preimage's size or shape. There are three stiff transformations.

Reflection, rotation, and translation are examples of stiff transformations. These changes have no effect on the size or shape of the resulting image.

Non rigid transformations

The preimage's size, shape, or both can be altered using a non-rigid transformation.

Shear and dilation are two non-rigid transformations. The transformation will alter either the size, the shape, or both of the original images.

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\(\dfrac{\tfrac 27}8 = \dfrac 2{7 \times 8} = \dfrac 2{56} = \dfrac 1{28} = 1:28\)

Convenience purchase: Coca-Cola. Shopping purchase: Apple iPhone. Specialty purchase: Rolex. These brand name products correspond to their respective purchase types based on convenience, shopping involvement, and specialty appeal in the consumer marketplace.

Convenience purchases refer to low-involvement purchases made by consumers for everyday items that are readily available and require minimal effort to obtain. These purchases are typically driven by convenience and habit rather than extensive consideration or brand loyalty.

Shopping purchases involve higher involvement and more deliberate decision-making. Consumers invest time and effort in comparing options, seeking the best value or quality, and may consider multiple brands before making a purchase. These purchases often involve durable goods or products that require more consideration.

Specialty purchases are distinct and unique purchases that cater to specific interests, preferences, or hobbies. These purchases are driven by passion, expertise, and a desire for premium or specialized products. Consumers are often willing to invest more in these purchases due to their unique features, quality, or exclusivity.

Three specific brand name products in the consumer marketplace that correspond to these types of purchases are

Convenience Purchase: Coca-Cola (Soft Drink)

Coca-Cola is a widely recognized brand in the beverage industry. It is readily available in various sizes and formats, making it a convenient choice for consumers seeking a refreshing drink on the go.

With its widespread availability and strong brand presence, consumers often make convenience purchases of Coca-Cola without much thought or consideration.

Shopping Purchase: Apple iPhone (Smartphone)

The Apple iPhone is a popular choice for consumers when it comes to shopping purchases. People invest time researching and comparing features, pricing, and user reviews before making a decision.

The shopping process involves considering various smartphone brands and models to ensure they select a product that meets their specific needs and preferences.

Specialty Purchase: Rolex (Luxury Watches)

Rolex is a well-known brand in the luxury watch industry and represents specialty purchases. These watches are associated with high-quality craftsmanship, precision, and exclusivity.

Consumers who are passionate about luxury watches and seek a premium product often consider Rolex due to its reputation, heritage, and unique features. The decision to purchase a Rolex involves a significant investment and is driven by the desire for a prestigious timepiece.

These examples illustrate how different types of purchases align with specific brand name products in the consumer marketplace, ranging from convenience-driven choices to more involved shopping decisions and specialty purchases driven by passion and exclusivity.

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The Penders' total expenditure for the month of July is $126.45 less than the amount they had budgetd.

To solve for total expenditure, we total the amount of money spent for the month and minus it by the total amount of money budgeted for the month. Or you some the balance.

9. How much more or less were the Penders' total expenditures for the month of July than the amount they had budgeted? (2 points)

Expense Summary for Paul and Diana Pender for the Month of July 20                

                                        Amount B.     Amount S.        Difference

(Food/Groceries)

Food/Groceries               $290.00          $302.60       a. -12.6

(Household Expenses)    

Electricity                          $45.00            $44.35         b. 0.65

Heating                             $80.00             $0.00          c   80

Cell Phone                      $35.00              $35.00         d.   0

Water                               $24.50              $31.70          e.   -7.20

Cable/Internet                 $95.00              $95.00         f       0

(Transportation)

Gasoline/Oil                    $85.00               $101.70      g     -16.7

Parking/Tolls                    $70.00             $50.00        h.     20

(Personal)

Clothing                           $60.00                $31.75          i   28.25

Credit Card(s)                 $50,00                 $60.00          j   -10

Pocket Money                $80.00                 $93.75          k.   -13.75

(Entertainment)

Movies/Theater              $20.00                $35.00          L   -15

Sporting Events              $65.00                 $32.00         m.  33

Recreation                     $22.00                   $63.80         n.  -41.80

Dining Out                     $140.00                 $158.40        o.    -18.40

(Fixed)

Rent/Mortgage              $625.00               $625.00        p.  0

Furniture                      $125.00                  $125.00         q 0

Savings                          $250.00                $150.00        r  100

Contributions                 $8.33                       $8.33          S.  0                

                                      $2169.83               $2042.38

$290 + $45 + $80 + $35 + $24.50 + $95 + $85 + $70 + $60 + $50 + $80 + $20 + $65 + $22 + $140 + $625 + $125 + $250 + $8.33 = 2169.83

$302.60 + $44.35 + $0 + $35 + $31.70 + $95 + $101.70 + $50 + $31.75 + $60 + $93.75 + $35 + $32 + $63.80 + $158.40 + $625 + $125 + $150 + $8.33 = 2043. 38

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The partial derivatives ∂u/∂g and ∂v/∂g of the function g(x, y) = cos(x² + y²) with respect to the independent variables u and v are both equal to 0.

A partial derivative is a mathematical concept used in multivariable calculus to measure the rate at which a function changes with respect to one independent variable while holding all other variables constant.

For a function f(x₁, x₂, ..., xn) of n variables, the partial derivative of f with respect to the variable xi (where 1 ≤ i ≤ n) is denoted as ∂f/∂xi or ∂i f and is defined as follows:

∂f/∂xi = lim(h→0) [f(x₁, x₂, ..., xi + h, ..., xn) - f(x₁, x₂, ..., xi, ..., xn)] / h

To calculate the partial derivatives ∂u/∂g and ∂v/∂g of the function g(x, y) = cos(x² + y²) with respect to the independent variables u and v, we can use the Chain Rule.

g(x, y) = cos(x² + y²)

x = 2u - 4v

y = u - 4v

∂u/∂g:

∂u/∂g = (∂u/∂x) * (∂x/∂g) + (∂u/∂y) * (∂y/∂g)

= 2 * 0 + 1 * 0

= 0

∂v/∂g:

∂v/∂g = (∂v/∂x) * (∂x/∂g) + (∂v/∂y) * (∂y/∂g)

= 2 * 0 + (-4) * 0

= 0

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the complete question is:

Use the Chain Rule to calculate the partial derivatives of g(x, y) = cos(x² + y²) with respect to u (∂u/∂g) and v (∂v/∂g), where x = 2u - 4v and y = u - 4v.

Express your answer in terms of the independent variables u and v.

The median score is 76. To explain the calculation process, we can arrange the data in numerical order from smallest to largest: 71, 71, 71, 73, 75, 76, 81, 86, 97. The middle score is 76. Therefore, the median score is 76.

To calculate the median score of the class's first psychology exam, the data should be arranged in numerical order. The data set is: 71, 71, 71, 73, 75, 76, 81, 86, 97.

Arranging the data set in order from smallest to largest, we get: 71, 71, 71, 73, 75, 76, 81, 86, 97.The median is the middle number when the data set is ordered. If there are two numbers in the middle, we take the average of these two numbers. As there are nine numbers in the data set, the median score can be found by selecting the fifth number from the lowest score or the fifth number from the highest score. The fifth score is 76.

Therefore, the median score of the class's first psychology exam is 76.

In conclusion, the median score of the class's first psychology exam is 76. The median is the middle score when the data set is arranged in order from smallest to largest. When there are two numbers in the middle, we take the average of these two numbers.

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Answer:

A

Step-by-step explanation:

-7-(3)/4-(-1)=-10/5 which is -2

Use the slope formula y2-y1/x2-x1 to solve

After approximately 12.13 years, the revenue of this firm is going to drop to $1 million.

The value of shares t years after their floatation on the stock market, is modelled by V = 10e0.09t

The initial value of shares = V when t = 0. So, putting t = 0 in V = 10e0.09t,

we get

V = 10e0.09 × 0= 10e0 = 10 × 1 = 10 million dollars.

The values after 5 years, 10 years and 12 years, respectively are:

For t = 5, V = 10e0.09 × 5 ≈ 19.65 million dollarsFor t = 10, V = 10e0.09 × 10 ≈ 38.43 million dollarsFor t = 12, V = 10e0.09 × 12 ≈ 47.43 million dollars

The total revenue (TR) in t years' time is modelled as TR = 10e−0.19t (in million dollars)

The current revenue is the total revenue when t = 0.

So, putting t = 0 in TR = 10e−0.19t, we get

TR = 10e−0.19 × 0= 10e0= 10 million dollars

Revenue in 5 years' time is TR when t = 5.

So, putting t = 5 in TR = 10e−0.19t, we get

TR = 10e−0.19 × 5≈ 4.35 million dollars

To find when the revenue of this firm is going to drop to $1 million, we need to solve the equation TR = 1.

Substituting TR = 1 in TR = 10e−0.19t, we get1 = 10e−0.19t⟹ e−0.19t= 0.1

Taking natural logarithm on both sides, we get−0.19t = ln 0.1 = −2.303

Therefore, t = 2.303 ÷ 0.19 ≈ 12.13 years.

So, after approximately 12.13 years, the revenue of this firm is going to drop to $1 million.

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When three standard six-faced dice are rolled, the probability that the sum of the three numbers rolled is 9 is equal to 10/216 or 5/108.

Total number of ways three dice can be rolled = 6 × 6 × 6 = 216.

Each dice can have any number from 1 to 6. The probability of rolling a particular number on a dice = 1/6.

The probability of rolling a particular number on three dice = (1/6) × (1/6) × (1/6) = 1/216.

In order to get a sum of 9, there are four combinations that can be rolled:

3 + 3 + 3 = 9

3 + 4 + 2 = 9

3 + 5 + 1 = 9

4 + 3 + 2 = 9

The probability of rolling any of these combinations = probability of rolling 3-3-3 + probability of rolling 3-4-2 + probability of rolling 3-5-1 + probability of rolling 4-3-2

= (1/216) + (3/216) + (3/216) + (3/216)

= 10/216 or 5/108.

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Answer:

= 185 units²

Step-by-step explanation:

the area (A) of a trapezoid is calculated as

A = \(\frac{1}{2}\) h (b₁ + b₂ )

where h is the perpendicular height between the bases and b₁, b₂ the bases

here h = 10 , b₁ = 22 , b₂ = 22 - 7 = 15 , then

A = \(\frac{1}{2}\) × 10 × (22 + 15) = 5 × 37 = 185 units²

To graph the natural logarithm function, without using a calculator, and using a short table of easy points, we can proceed as follows:

1. We need to remember that the logarithm function is not defined for negative numbers. We cannot find any exponent that raised to a positive number that result in a negative number.

2. The logarithm function is not defined for x = 0. Therefore, we will have an asymptote at x = 0. It is a vertical asymptote, x = 0.

3. The value for ln(1) = 0, and we also know that the value of ln(e) = 1.

We need to remember that e is, approximately, 2.7182818284...

Now, using this information, we will have the following table:

x - values ---------- y-values

Negative values ---- the function is not defined

0 ------------- The function has a vertical asymptote

1 ------------- 0

e (approx. 2.72) ------------ 1

We can see the table of these values in the following drawing:

Now we can sketch a graph of this function as follows:

The domain of the natural logarithm function is, in interval notation:

And the range is (in interval notation too) as follows:

Answer:

67% (rounded)

Step-by-step explanation:

Since there is 1-6,

There is 3,4,5,6 which is 4/6 chance being above 2.

2/3 = 66.6%  

Answer:1/36

Step-by-step explanation:

Answer:

he dividend number is 80, the number used to divide another number is 10 and the result of the dividing two number is 8.

Step-by-step explanation: