Probability Calculation: The critical path for a project was found to be 37 days. The variances total 27. What is probability of completing in 43 days

The expression that represents the monthly change in Kevin's bank account is $2,300 - $7.50 = $2,292.50

In one year, which has 12 months, the bank deducts a total of $90 in fees. To find the monthly change in Kevin's bank account, we need to divide this total by 12:

Monthly service fee = $90 / 12 = $7.50

Kevin's paycheck is deposited twice each month, so his total monthly income from his paychecks is:

Monthly income = 2 * $1,150 = $2,300

Therefore, Kevin's monthly change in his bank account is:

Monthly change = Monthly income - Monthly service fee

Monthly change = $2,300 - $7.50 = $2,292.50

So the expression that represents the monthly change in Kevin's bank account is $2,300 - $7.50 = $2,292.50

Learn more about  expression at:https://brainly.com/question/1859113

#SPJ1

Answer:

4(x - 3) - 2(x - 1) > 0

(4x - 12) - 2x  + 2) > 0

4x - 2x - 12 + 2 > 0

2x - 10 > 0

2x > 10

x > 10/2

x > 5

Answer:

Step-by-step explanation:

f(x)=2(2x+3)(x−3)
hope this helps

Answer:

(-1)(11)(3)(5)

Step-by-step explanation:

First off:  -165 separates into the factors (-1) and (165).  Next, we divide 165 by 15, obtaining 15(11).

So far, we have (-1)(11)(15).

15 is still factorable.  We get:

(-1)(11)(3)(5), which is the desired prime factorization of -165.

Answer: b = 11.62

Step-by-step explanation:

We can use this formula to solve for b:

\(b^{2} =\) \(\sqrt{c^{2}-a^{2} }\)

\(b^{2} =\) \(\sqrt{12^{2}-3^2 }\)

\(b^2= \sqrt{144-9}\)

= 11.61895004

We can round that to 11.62.

Hope this helped!

Answer:

No, it doesn't.

Because 0.3 is smaller than 1, so the product should be less than 4.02.

Let me know if this helps!

Answer: 42

Step by step:

42 is divisible by both 7 and 2

Answer:

44

Step-by-step explanation:

4 x 11 = 44

2 x 22 = 44

Answer:

-10

Step-by-step explanation:

Let the number be x

x - 40 = 5x

⇒ -40 = 5x - x

⇒ 4x = -40

⇒ x = -40/4

⇒ x = -10

Answer:

-10

Step-by-step explanation:

Let the number be x

x - 40 = 5x

4x = -40

x = -10

Based on context clues or what's been given,

Parenthesis indicate multiplication.

75,465 * 7

Now calculate:

528,255

Answer: 528,255

Step-by-step explanation:

u just multiply 75,465 by 7 and you get 528,255

if there is a number next to another number that is inside the parentheses then that means you multiply the numbers together

for example: 12(3) means multiply 12 by 3 and u get 36

Answer:

4x^5 + x^3 + 2x^2 -3

Step-by-step explanation:

Standard form is ( put simply ) the order the numbers are from highest to lowest. So the standard form of the equation would be 4x^5 + x^3 + 2x^2 -3

Answer:

0.4 hours

Step-by-step explanation:

or 24 minutes :D

The height of the building is approximately 227 feet.

In the given question, a man wants to measure the height of a nearby building. He places a 7 ft pole in the shadow of the building so that the shadow of the pole is exactly covered by the shadow of the building.

The total length of the building's shadow is 162 ft, and the pole casts a shadow that is 5.5 ft long. We have to determine the height of the building.The given situation can be explained with the help of a diagram.

As shown in the figure above, let AB be the building and CD be the 7 ft pole. The height of the building is represented by the line segment AE, which is to be determined. Let the length of the shadow of the pole be CD and that of the building be BD.

Therefore, the length of the total shadow will be BC or CD + BD.According to the question, the shadow of the pole is exactly covered by the shadow of the building. This implies that the two triangles AEF and CDF are similar. Hence, the corresponding sides are proportional. Therefore, we have:AE/EF = CD/DF

On substituting the values from the given data, we get:

AE/(EF + 5.5) = 7/5.5.... (1)

Similarly, we can write from the given data:

BD/DF = 162/5.5.... (2)

From equations (1) and (2), we can write:

AE/(EF + 5.5) = BD/DF => AE/(EF + 5.5) = 162/5.5.... (3)

On solving the above equation for AE, we get:

AE = (7/5.5) × (162/5.5 - 5.5)≈ 226.6 ft

Therefore, the height of the building is approximately 227 feet.

For more such questions on height, click on:

https://brainly.com/question/28122539

#SPJ8

Answer:

when whered then they

Step-by-step explanation:

d = 8

Divide both sides of the equation by the same term

Answer:

d = 8

Step-by-step explanation:

Step 1: Divide both sides by 12.

Therefore, the solution is 8.

Answer:

31

Step-by-step explanation:

f(4) = 6x4 + 7

= 24 + 7

= 31

Answer:

x is a 33° angle

Step-by-step explanation:

The two angles are supplementary meaning the measure of both angles adds up to 180°. You can tell they are supplementary because the angle is a straight line. so all you need to do is subtact 147 from. 180 to get the measure of x .

Answer:

x+147=180 ( sum of supplementary angle)

or, x = 180-147

or, x = 33

so the value of x is 33°

The misleading about the data shown on the figure is the clas width

From the question, we have the following parameters that can be used in our computation:

The histogram

On the histogram, we have the following readings

From the above, we can see that

The above readings are not consistent i.e. the class widths are not equal

Hence, the misleading about the data shown on the figure is the clas width

Read more about graphs at

https://brainly.com/question/28350999

#SPJ1

Answer:

14 and 15

Step-by-step explanation:

\(196<201<225 \\ \\ \sqrt{196}<\sqrt{201}<\sqrt{225} \\ \\ 14<\sqrt{201}<15\)

Answer: The description of that transformation is the triangle is rotated 90 degrees clockwise. Then, it's moved to the right TWICE. Finally, you go down 2 times.

Step-by-step explanation:

Hope this helps :)

triangle B is in dofferent orientation from triangle B so we know it was either mirrored or rotated. Triangle B isnt in the exact opposite orientation as A so we know it wasnt mirrored. So we now know that it was rotated and know we have to find the point of rotation. we can tell that the rotation was 270 degrees anti clockwise since it cant be clockwise because no points of rotation match. since we know triangle A was rotated 270 degrees anti clockwise to get triangle B we cant find the point of rotation by seeing which point works and if we test the points we will see that (0;-1) is the point of rotation. So triangle A was rotated 270 degrees anti clockwise on the point (0;-1) to make triangle B

Answer:

1. 8/15

2. Green marble: 3/15

    Red Marble: 6/15

     Blue marbles: 6/15

3. a 1/8

Answer:

1: 8/15

2: a: 2/5

 b: 1/5

3: 1/8

Step-by-step explanation:

1:

16/30 chance

simplify

8/15

2:

3 + 6 + 6 = 15

red: 6/15 --> 2/5

green: 3/15 --> 1/5

3:

1/8

Answer:

X >>>>> Y

–1 >>>> 16

0 >>>>> 8

1 >>>>> 4

2 >>>>> 2

3 >>>>> 1

Step-by-step explanation:

From the question given above,

y = 8 × (½)ˣ

When x = –1, y =?

y = 8 × (½)ˣ

y = 8 × (½)¯¹

y = 8 × 2

y = 16

When x = 1, y =?

y = 8 × (½)ˣ

y = 8 × (½)¹

y = 8 × ½

y = 4

When x = 2, y =?

y = 8 × (½)ˣ

y = 8 × (½)²

y = 8 × ¼

y = 2

When x = 3, y =?

y = 8 × (½)ˣ

y = 8 × (½)³

y = 8 × ⅛

y = 1

SUMMARY:

X >>>>> Y

–1 >>>> 16

0 >>>>> 8

1 >>>>> 4

2 >>>>> 2

3 >>>>> 1

Answer:

(14, 2).

Step-by-step explanation:

x - y = 12

y = 2

Solving this system:

Plug y = 2 into the first equation:

x - 2 = 12

x = 14.

Therefore the  point of intersection is at (14, 2).

Answer:

56 / 8

Step-by-step explanation:

The total value of the prize is $936,000.

The state will need to invest $591,498.96 now at a 5% interest rate to cover the weekly prize payments for 20 years.

The total value of the prize is calculated by multiplying the annual payment by the number of years and is equal to:

=  $900/week x 52 weeks/year x 20 years

= $936,000.

We need to use the present value formula which is: PV = PMT x [1 - (1 + r)^-n] / r

Plugging in the values:

PV = $900 x [1 - (1 + 0.00096154)^-1,040] / 0.00096154

PV = $900 x 657.221075423

PV = $591,498.968.

Read more about state lotto

brainly.com/question/28988219

#SPJ1

The exam scores , that will lead to the better grade is

(a) the score of "X=40" in exam with μ = 50 , σ = 20 ;

(b) the score of "X=51" in exam with μ = 45 , σ = 2 ;

(c) Both the score will lead to better grades .

Part(a) : In order to find which score leads to better grade, we calculate the z-scores for both scores and compare :

The score of X = 74 on the first exam is :

⇒ z = (74 - 82)/8 = -1  ;

The score of X = 40 on the second exam is :

⇒ z = (40 - 50)/20 = -0.5  .

The z-score of -0.5 is > -1,

So , the score of X = 40 on the second exam lead to better grade because the score of 40 is closer to mean of second exam (50) and has a smaller deviation from mean (20) than score of 74 on first exam .

Part(b) :

The score of X = 51 on the first exam is :

⇒ z = (51 - 45)/2 = 3  ;

The score of X = 90 on the second exam is :

⇒ z = (90 - 70) / 20 = 1  .

The z-score of 3 is > 1 ,

So , the score of X = 51 on the first exam should lead to the better grade.

Part(c) :

The score of X = 62 on the first exam is :

⇒ z = (62 - 50) / 8 = 1.5  ;

The score of X = 23 on the second exam is :

⇒ z = (23 - 20) / 2 = 1.5  .

Both scores have the same z-score of 1.5, they should lead to the same grade.

Learn more about Z-Score here

https://brainly.com/question/15016913

#SPJ4

Answer:

c = 3

Step-by-step explanation:

\( 32^{2c} = 8^{c + 7} \)

\( (2^5)^{2c} = (2^3)^{c + 7} \)

\( 2^{10c} = 2^{3c + 21} \)

\( 10c = 3c + 21 \)

\( 7c = 21 \)

\( c = 3 \)

The marginal frequency of students who chose dancing is 37.

The correct answer to the given question is option 3.

The marginal frequency of students who chose dancing can be calculated by adding up the number of students who chose dancing in each row or column. In this case, we need to add up the number of art students who chose dancing (22) and the number of music students who chose dancing (15), which gives us a total of 37. This is the marginal frequency of students who chose dancing.

Based on the survey results, it appears that a slightly higher percentage of art students prefer dancing (41.5%) compared to music students (31.9%). However, both groups of students seem to be fairly evenly split between dancing and playing sports, with a slight preference for playing sports overall.

It's worth noting that cardiovascular activity is important for overall health and well-being, and both dancing and playing sports can provide great opportunities for exercise and physical activity. Additionally, both activities can also be enjoyable and provide a sense of community and social connection, which is important for middle school students who are still developing their social skills and relationships. Ultimately, the choice between dancing and playing sports will depend on individual interests, preferences, and abilities.

For more such questions on frequency, click on:

https://brainly.com/question/254161

#SPJ8