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Svetlanka [38]
3 years ago
14

The total mass of raisins in a package is Normally distributed, with a mean of 520 grams and a standard deviation of 5 grams.

Mathematics
1 answer:
alexira [117]3 years ago
5 0

Answer:1.41

Step-by-step explanation:

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Please assist me<br><br>NO LINKS!!<br>​
Nana76 [90]

Answer:

See below:

Step-by-step explanation:

Hello! My name is Galaxy and I will be helping you today, I hope you are having a nice day!

We can solve this in two steps, Comprehension and Solving. I'll go ahead and start with Comprehension.

If you have any questions feel free to ask away!!

Comprehension

We know according to the laws of geometry that all angles in a triangle add up to 180 degrees.

We also know that in an isosceles angle, the base angles are equation to each other.

Now that we know what we need to know, we can setup an equation.

2x-6+(2x)=180

We can do this because first of all, we know that 2x-6 is one of the angles and as per the base angles of an isosceles triangle we know that both base angles are x, therefore we can add 2x to get 180 degrees.

I'll start solving now.

Solving

We can solve this by using the equation we made above and solving it with algebra.

2x-6+2x=180\\4x-6=180\\4x=186\\x=46.5

We know that x is equal to 46.5 degrees. We can check that by inputting it into the equation.

2(46.5)-6+2(46.5)=180?\\4(46.5)=186?\\46.5=46.5

We've proven that our answer is correct by double checking,

Therefore the answer is 46.5!

Cheers!

4 0
3 years ago
Work the problem for each card, look for the solution at the top of the next card. Use space and show all work
Vinil7 [7]

Answer:Mathematics of Money:

Compound Interest Analysis With Applications

This site is a part of the JavaScript E-labs learning objects for decision making. Other JavaScript in this series are categorized under different areas of applications in the MENU section on this page.

Professor Hossein Arsham    

Compound Interest: The future value (FV) of an investment of present value (PV) dollars earning interest at an annual rate of r compounded m times per year for a period of t years is:

FV = PV(1 + r/m)mt

or

FV = PV(1 + i)n

where i = r/m is the interest per compounding period and n = mt is the number of compounding periods.

One may solve for the present value PV to obtain:

PV = FV/(1 + r/m)mt

Numerical Example: For 4-year investment of $20,000 earning 8.5% per year, with interest re-invested each month, the future value is

FV = PV(1 + r/m)mt   = 20,000(1 + 0.085/12)(12)(4)   = $28,065.30

Notice that the interest earned is $28,065.30 - $20,000 = $8,065.30 -- considerably more than the corresponding simple interest.

Effective Interest Rate: If money is invested at an annual rate r, compounded m times per year, the effective interest rate is:

reff = (1 + r/m)m - 1.

This is the interest rate that would give the same yield if compounded only once per year. In this context r is also called the nominal rate, and is often denoted as rnom.

Numerical Example: A CD paying 9.8% compounded monthly has a nominal rate of rnom = 0.098, and an effective rate of:

r eff =(1 + rnom /m)m   =   (1 + 0.098/12)12 - 1   =  0.1025.

Thus, we get an effective interest rate of 10.25%, since the compounding makes the CD paying 9.8% compounded monthly really pay 10.25% interest over the course of the year.

Mortgage Payments Components: Let where P = principal, r = interest rate per period, n = number of periods, k = number of payments, R = monthly payment, and D = debt balance after K payments, then

R = P × r / [1 - (1 + r)-n]

and

D = P × (1 + r)k - R × [(1 + r)k - 1)/r]

Step-by-step explanation:

3 0
3 years ago
A net of a building block is shown below. What is the total surface area of the building block? *
777dan777 [17]

Answer:

where

Step-by-step explanation:

6 0
2 years ago
Pls help me with this question ​
Andrei [34K]

Answer:

0

Step-by-step explanation:

(sin(2n) − 1) / (sin n − cos n)

-(1 − sin(2n)) / (sin n − cos n)

-(1 − 2 sin n cos n) / (sin n − cos n)

-(sin² n − 2 sin n cos n + cos² n) / (sin n − cos n)

-(sin n − cos n)² / (sin n − cos n)

-(sin n − cos n)

cos n − sin n

Limit as n approaches π/4 is 0.

7 0
3 years ago
Decrease 18000 by 6%
Shtirlitz [24]

Answer:

16920

Step-by-step explanation:

6% of 18000 is 1080 so 18000-1080 is 16920

7 0
3 years ago
Read 2 more answers
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