Tim Worker is doing his budget. He discovers that the average electric bill for the year was $206. 00 with a standard deviation of $10. 0. What percent of his expenses in this category would he expect to fall between $184. 00 and $200. 00?

The z for $184. 00 = -
2. 2

The percent of area associated with $184. 00 =
48. 6
%

The z for $200. 00 = -. 6

The percent of area associated with $200. 00 =
22. 6
%

Subtracting the two percentages, the percent of expenses between $184. 00 and $200. 00 is
26
%

Answer:

fifty-two. have a nice day.

Answer:

It would be 52 5/16

Step-by-step explanation:

You would have to divided the fractions. Which would get you to 52 5/16.

Answer:is 230

Step-by-step explanation:

230 i hoped i helped

Answer:

y+5-1/3x=7 find y and then x to find the corresponding values

y = 5 - 1/3x + 7

y = 5 - 1/3(x) + 7

y = 5 - (1/3)x + 7

y = (5 - 1/3x) + 7

y = (5 + 7) - (1/3)x

y = 12 - (1/3)x

For y = 12,

12 - (1/3)x = 12

(1/3)x = 0

x = 0

Therefore, when y = 12, x = 0.

Answer:

3 miles

Step-by-step explanation: cause i did this

Answer:

4 Months, and the Total amount is 280

Step-by-step explanation:

60 + 55m = ?

200 + 45m = ?

60 + 55 = 115 + 55 = 170 + 55 = 225 + 55 = 280

200 + 45 = 245 + 45 = 290 + 45 = 235 + 45 = 280

           1                  2                 3                 4

If they work together, they need 15/8 hours to assemble one shelving unit.

What does work mean in math?

According to tittle, we know worker A can  assemble a shelving unit in 5 hours , which means worker A can finish 1/5 of work in 1 hour . And worker B can finish 1/3 of work in 1 hour.

If A & B work together , they will spend the same time t to assemble only one shelving .

That means,                  1/5t + 1/3 t = 1                         (equation)

1/5 t is worker A's workload during time t , 1/3 t is worker B workload.

So,   1/5 t + 1/3t = 1  is the answer

     ⇒ 5t + 3t = 15

     ⇒ t = 15/8 hours

If they work together, they need 15/8 hours to assemble one shelving unit.

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Answer:

Letter C is the correct answer or  1/5 t + 1/3t = 1

Answer: To fill out a table of equivalent ratios for Blake's lemonade recipe, we can use the ratio of lemons to cups of lemonade:

Lemons             Cups of Lemonade

3                        4

6                        8

9                        12

12                      16

15                      20

18                      24

To plot the points on a coordinate axes, we can use the Lemons as the x-coordinate and the Cups of Lemonade as the y-coordinate. The points would lie on a line that passes through the origin (0,0) and the point (12,16).

         |       *

 Cups of |    *     *

Lemonade  | *           *

         |________________

            Lemons

              0    12

The line represents the proportional relationship between the number of lemons and the amount of lemonade produced. As the number of lemons increases, the amount of lemonade produced increases proportionally.

Step-by-step explanation:

Answer: 208

Step-by-step explanation:

Answer:

43

Step-by-step explanation:

The LCM of 14 and 21 is 42. This is the smallest number that can be divided by both 14 and 42 without leaving a remainder

Add 1 to this so that we get a remainder of 1 when divided by 14 or 21

   __4__
14)  43
      42
-------------
         1  
43 ÷ 14 => quotient 4 and remainder 1

   __2__
21)  43
      42
-------------
         1  

43 ÷ 21 => quotient 2 and remainder 1

The probability that none of the 4 light bulbs work is 0.0256, or approximately 2.56%.

Since each light bulb works independently of the others, we can treat the outcome of each bulb as a Bernoulli trial with a probability of success (working) p = 0.6 and a probability of failure (not working) q = 0.4.

To find the probability that none of the 4 light bulbs work, we need to find the probability of having 0 successful trials out of 4. This can be calculated using the binomial distribution:

P(X=0) = (4 choose 0) * (0.6)^0 * (0.4)^4 = 0.4^4 = 0.0256

Where (4 choose 0) is the number of ways to choose 0 successful trials out of 4, which is 1.

In summary, we can use the binomial distribution to find the probability that none of the 4 light bulbs work, since each bulb works independently of the others. Using this method, we find that the probability is 0.0256 or approximately 2.56%.

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To perform the calculation, we need to take the cube root of the given value, considering the absolute uncertainty.  The correct absolute uncertainty for the answer is approximately 0.010.

To determine the absolute uncertainty of the result, we need to consider the maximum and minimum values that the expression could take within the given uncertainty range.

Maximum value:

Using the upper bound of the uncertainty, the expression becomes:

[\((8.47+0.06)^{1/3}\) ≈ 2.057

Minimum value:

Using the lower bound of the uncertainty, the expression becomes:

[\((8.47+0.06)^{1/3}\)] ≈ 2.047

Therefore, the absolute uncertainty is the difference between the maximum and minimum values:

Absolute uncertainty = Maximum value - Minimum value

                   = 2.057 - 2.047

                   = 0.010

So, the correct absolute uncertainty for the answer is approximately 0.010.

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To calculate the chances of success for each student, the school would likely use logistic regression analysis.

Logistic regression analysis is a statistical technique used to model the relationship between a binary outcome variable (in this case, success or failure) and one or more predictor variables (such as academic performance, attendance, or socio-economic factors). The goal of logistic regression is to estimate the probability of a specific outcome occurring based on the given predictors. In this scenario, the school would be interested in determining the likelihood of success for each student based on various factors. Logistic regression allows for the calculation of the probability of success and can provide insights into the factors that significantly contribute to or hinder student success. By analyzing the relationship between the predictor variables and the binary outcome of success, the school can gain valuable information to make informed decisions and interventions to support student achievement.

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Answer:

126.5 or 126 and 1/2 (one half)

Step-by-step explanation:

To find out how much that yearly salary is in weeks, we can take the number and divide by 52, because there are 52 weeks in the year.

54,262/52 = 1043 and 1/2 or 1043.5

Now, we must do 26 * 45 because you are working for 45 hours, and making $26 an hour.

and that number for 26 * 45 is 1170.

Now to find how much more you make from taking the hourly job over the salary job, you need to find the difference.

To do that, you would subtract 1170 and 1043.5 or 1043 and 1/2.

That is 126.5 or 126 and 1/2 (one half)

The answer is x = 8,0

hope this helps!

Answer:

x = 0 and 8

Step-by-step explanation:

|x – 4| = 4    <-- separate it into 2 equations since it's an absolute value and there would be 2 answers (one number as positive and one number as negative)

--------------------------------------------------------

x – 4 = 4    <-- postive

   + 4 = + 4

      x = 8

---------------------------------------------------------

x – 4 = - 4     <-- negative

   + 4 = + 4

      x = 0

Answer:

  2519

Step-by-step explanation:

In each case, the remainder is 1 less than the divisor. This means the number of interest will be 1 less than the least common multiple of 5, 6, 7, 8, 9, 10.

The prime factors of these numbers are ...

  5 = 5

  6 = 2·3

  7 = 7

  8 = 2³

  9 = 3²

  10 = 2·5

The unique factors are 2, 3, 5, 7. When they are used to their highest powers, the resulting product is ...

  2³·3²·5·7 = 2520

The number of interest is 1 less than this, so is 2519.

2519 is the least positive integer that will give the required remainders.

The proportion of the laptops is equal to 0.6 with the price range between 624 dollars to 768 dollars for the given mean and standard deviation.

As given in the question,

Given condition:

Price of of given laptops set are normally distributed:

Mean 'μ' is equal to 750 dollars

Standard deviation 'σ' is 60 dollars

let 'X' represents the price of laptops

Range of price is given by:

624 < X < 768

= (624 - μ)/σ < (X - μ)/σ < (768 - μ)/σ

= (624 - 750)/60 < (X - μ)/σ < (768 - 750)/60

= -126 /60 < (X - μ)/σ  <  18 /60

= -2.1 < Z < 0.3

From the table , value of z-score is equal to

z-score for -2.1 = 0.01786

z-score for 0.3 = 0.6179

Required proportion is equal to

0.6179 - 0.01786

= 0.6179 - 0.0179

= 0.6

Therefore, the proportion of laptops with the price between 624 and 768 is equal to 0.6.

The complete question is :

A set of laptop prices are normally distributed with a mean of 750 dollars and a standard deviation of 60dollars.

What proportion of laptop prices are between 624 dollars and 768 dollars?!

You may round your answer to four decimal places.

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 By multiplying matrices B and A, we obtain the product BA. Using BA, we can solve the system of equations y + 2z = 7, x - y = 3, and 2x + 3y + 4z = 17.the values of x, y, and z are -1, 2, and 1 respectively

To find the product BA, we multiply matrix B with matrix A. The resulting matrix will have the same number of rows as B and the same number of columns as A. The product BA will be used to solve the given system of equations.
The product BA can be computed by multiplying each row of matrix B by each column of matrix A and summing the results. The resulting matrix will be:
Now, we can use the product BA to solve the system of equations:
-10x - 10y + 6z = 7,
3x - 8y + 2z = 3,
-6x - 16y + 15z = 17.

1 -1 2
2 3 1
0 4 2
We can rewrite this system of equations as:
-10x - 10y + 6z = 7,
3x - 8y + 2z = 3,
-6x - 16y + 15z = 17.
By comparing the coefficients of x, y, and z in the system of equations with the entries in the matrix BA, we can determine the values of x, y, and z.
Solving the system of equations using matrix BA, we get:
x = -1,
y = 2,
z = 1.
Therefore, the values of x, y, and z are -1, 2, and 1 respectively.

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The complete question is:
Given A=
⎣2 2 -4|
|-4 2 -4|
|2 -1 5|
, B=
⎣1 -1 0|
⎢2 3 4|
⎢0 1 2|
, find BA and use this to solve the system of equations y+2z=7, x−y=3, 2x+3y+4z=17.

The given topological sorts allow us to determine the edges in the DAG. By following the direction of the edges, we can ensure that the topological sorts are valid. Putting it all together, the edges in E are {የ, r}, {የ, z}, {r, y}, and {z, a}.

First, let's define some terms to ensure we are on the same page. A rooted tree is a tree in which one vertex is designated as the root and every edge is directed away from the root.
Now, let's look at the given DAG. We have a rooted tree (T,r) where T = (V,E) with nodes V = {r, x, y, z} and r is the root. We are also given all the topological sorts of this DAG: የ rzay ryzr.
To determine the edges in E, we need to first understand the meaning of the topological sorts. The topological sorts give us the order in which the vertices can be visited in the DAG while following the direction of the edges.
Using this information, we can start by looking at the first vertex in the topological sort: የ. This vertex has outgoing edges to both r and z. Therefore, we know that the edge {የ, r} and the edge {የ, z} must both be in E.
Next, we look at the second vertex in the topological sort: r. This vertex has an outgoing edge to y. Therefore, the edge {r, y} must be in E. Moving on to the third vertex in the topological sort: z. This vertex has an outgoing edge to a. Therefore, the edge {z, a} must be in E. Finally, we look at the last vertex in the topological sort: y. This vertex has an outgoing edge to r. However, we have already established that the edge {r, y} is in E, so we do not need to add any new edges.
Putting it all together, the edges in E are {የ, r}, {የ, z}, {r, y}, and {z, a}.

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Answer:

-30

Step-by-step explanation:

-5 x -3 = 15

15 x -2 = -30

Explanation:

A negative times a negative will always be a positive. Vice versa.

A positive times a negative will always be a negative. Vice versa.

Answer:

  y = -1/4x -6

Step-by-step explanation:

You want the equation of the graphed line that crosses the y-axis at -6 and intersects the point (4, -7).

The slope of the line is its rise divided by its run. The first grid crossing to the right of the y-axis is at the point (4, -7). This is 1 unit down and 4 units right of the y-intercept.

  m = rise/run = -1/4

We already know the y-intercept is -6, so the line in slope-intercept form is ...

  y = mx +b . . . . . . line with slope m and y-intercept b

  y = -1/4x -6 . . . . . line with slope -1/4 and y-intercept -6

<95141404393>

Answer:

ll

Step-by-step explanation:

Answer:

II

Step-by-step explanation:

Answer:

1.  5/6  23/6

2. (3,6) (-2,1)

3. (0,5) (-5,0)

4. (3/4,-11/3) (2,-3)

hope this helps :)

Answer:

The square root of 105 is about 10.

Step-by-step explanation:

You can find the nearest perfect root, 100, and you will have 10. Because the answer is a little more than 10, you can presume that the answer to this equation is a little more than 10.

SOLUTION

From the diagram, the total outcome is 4

Probability of spinning A is

Probability of spinning B is

So probability of spinning A or B becomes

Hence the answer is

The probability that exactly 6 workers take the bus to work is 0.001

The given parameters are:

The probability that exactly 6 workers take the bus to work is calculated using the following binomial expression

\(P(x) = ^nC_x * p^x * (1 - p)^{n - x{\)

So, we have:

\(P(6) = ^{10}C_6 * (15\%)^6 * (1 - 15\%)^4\)

Evaluate the expression

P(6) = 0.001

Hence, the probability that exactly 6 workers take the bus to work is 0.001

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The distance between the two planes after 4 hours is approximately 150 km.

to find out how far apart the planes are after 4 hours, we can use the concept of vectors.

Let's start by finding the positions of the two planes after 4 hours.

The first plane flies at a speed of 110 km/h in a direction of 280°. To find its position after 4 hours, we can use the formula: distance = speed × time. So, the distance traveled by the first plane is 110 km/h × 4 hours = 440 km.

To determine the position of the first plane, we need to convert the direction (280°) into components. The x-component is given by: cos(280°) × distance = cos(280°) × 440 km. The y-component is given by: sin(280°) × distance = sin(280°) × 440 km.

Similarly, for the second plane, which flies at a speed of 250 km/h in a direction of 200°, the distance traveled after 4 hours is 250 km/h × 4 hours = 1000 km. To determine its position, we need to convert the direction (200°) into components. The x-component is given by: cos(200°) × distance = cos(200°) × 1000 km. The y-component is given by: sin(200°) × distance = sin(200°) × 1000 km.

Now, let's calculate the x and y components for both planes:

For the first plane:
x-component = cos(280°) × 440 km
y-component = sin(280°) × 440 km

For the second plane:
x-component = cos(200°) × 1000 km
y-component = sin(200°) × 1000 km

the distance between the two planes, we can use the distance formula, which is given by: distance = √((x2 - x1)^2 + (y2 - y1)^2), where (x1, y1) and (x2, y2) are the positions of the first and second planes respectively.

Now, substitute the values we calculated into the distance formula:

distance = √((x2 - x1)^2 + (y2 - y1)^2)
distance = √((cos(200°) × 1000 km - cos(280°) × 440 km)^2 + (sin(200°) × 1000 km - sin(280°) × 440 km)^2)

After evaluating the above expression, the distance between the two planes after 4 hours is approximately 150 km.

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The answer is 50 grams of salt in the tank at all times.

To find the number of grams of salt in the tank at time t, we need to use the formula:

a(t) = a(0) + (r - p) * t

where a(0) is the initial amount of salt in the tank, r is the rate at which brine is being pumped into the tank, p is the rate at which the solution is being pumped out of the tank, and t is the time elapsed.

In this case, a(0) = 50 grams, r = 3 grams per minute (since the brine contains 1 gram of salt per liter and 3 liters are being pumped in per minute, so 3 grams of salt are being added per minute), and p = 3 grams per minute (since the solution is being pumped out at the same rate as it is being pumped in). Therefore, we can simplify the formula to:

a(t) = 50 + 0 * t
a(t) = 50 grams

This means that the amount of salt in the tank remains constant over time, since the rate at which it is being pumped in and out is equal. Therefore, the answer is 50 grams of salt in the tank at all times.

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Answer:

D- 5hrs

Step-by-step explanation:

If the family can hike 3 miles per hour,
for 15 miles: 15/3 = 5 hours.

Every hour they cover 3 miles per hour, so to cover 15 miles, they will take 5 hours

Answer:

D. 5 hours

Step-by-step explanation:

3 miles per 1 hour so 3/1

15 miles per x hours so 15/x

3/1 = 15/x or 3 = 15/x

get x by itself so

3 divided by 3 and 15 divided by 3

x = 5 hours