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MAVERICK [17]
3 years ago
6

What is the answer for number 11. Please

Mathematics
1 answer:
Zolol [24]3 years ago
8 0
#11
Each roll is 9' long, 
length of each roll = 9' * (12"/foot) = 108"
Each ribbon piece = 15", so number of ribbons per roll
=108/15=7 with 3" left over, which is assumed not possible to be joined with other pieces.
Therefore, with 5 rolls, there are 7*5=35 pieces of ribbon, with 5 pieces or 3" left over.
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Somebody please help me with this question!​
marta [7]

Answers:

P(A) = 7/12

P(B) = 1/2

=====================================================

Explanation:

To see how I calculated P(A), check out this link to this very similar question

brainly.com/question/27669586

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

Now to calculate P(B)

If a number is divisible by 2, then the number is a multiple of 2.

In other words, the number is even.

Counting through the values in the table, you should find that there are 18 sums that are even (2, 4, 6, 8, 10 and 12). Refer to the dice chart below.

Here's a further breakdown

  • 1 copy of "2"
  • 3 copies of "4"
  • 5 copies of "6"
  • 5 copies of "8"
  • 3 copies of "10"
  • 1 copy of 12

Side note: We have nice symmetry going on.

There are 1+3+5+5+3+1 = 18 values total that are even numbers. The other half are odd numbers of course.

P(B) = 18/36 = (1*18)/(2*18) = 1/2

3 0
2 years ago
What is the formula for the area A of a trapezoid with parallel sides of length B and D, nonparallel sides of length A and C and
loris [4]

Answer:

(B) \dfrac12H (B+D)

Step-by-step explanation:

\text{Area of a trapezoid }= \dfrac12 ($Sum of the parallel sides) \times $Height\\Parallel Sides = B and D\\Height =H\\Therefore:\\\text{Area of the trapezoid }= \dfrac12 (B+D) H

The correct option is B.

4 0
4 years ago
singh works at a restaurant where he is paid by the hour plus time and a half for his hours over 40. last week he worked four ho
padilas [110]

Answer:

$8.5 per hour

Step-by-step explanation:

Number of overtime hours = 4 hours

Since overtime starts after 40 hours, then the number of hours worked = 40 + 4 = 44 hours

Total amount earned = $391

Let Hourly pay = x

Overtime pay = 1 1/2x = 3/2x

Therefore ;

40x + (4*3/2x) = 391

40x + 6x = 391

46x = 391

x = 391 / 46

x = 8.5

Hourly pay = $8.5 per hour

7 0
3 years ago
You find an interest rate of 10% compounded quarterly. Calculate how much more money you would have in your pocket if you had us
Elena-2011 [213]

Answer:

see the explanation

Step-by-step explanation:

we know that    

step 1

The compound interest formula is equal to  

A=P(1+\frac{r}{n})^{nt}  

where  

A is the Final Investment Value  

P is the Principal amount of money to be invested  

r is the rate of interest  in decimal

t is Number of Time Periods  

n is the number of times interest is compounded per year

in this problem we have  

r=10\%=10/100=0.10\\n=4  

substitute in the formula above

A=P(1+\frac{0.10}{4})^{4t}  

A=P(1.025)^{4t}  

Applying property of exponents

A=P[(1.025)^{4}]^{t}  

A=P(1.1038)^{t}  

step 2

The formula to calculate continuously compounded interest is equal to

A=P(e)^{rt}  

where  

A is the Final Investment Value  

P is the Principal amount of money to be invested  

r is the rate of interest in decimal  

t is Number of Time Periods  

e is the mathematical constant number

we have  

r=10\%=10/100=0.10  

substitute in the formula above

A=P(e)^{0.10t}  

Applying property of exponents

A=P[(e)^{0.10}]^{t}  

A=P(1.1052)^{t}  

step 3

Compare the final amount

P(1.1052)^{t} > P(1.1038)^{t}

therefore

Find the difference

P(1.1052)^{t} - P(1.1038)^{t} ----> Additional amount of money you would have in your pocket if you had used a continuously compounded account with the same interest rate and the same principal.

3 0
3 years ago
Challenge You have 2 different savings accounts. For Account A, the simple interest earned after 3 months is $1.60. For Account
const2013 [10]

Answer:

$1.28

Note for you:

I hope this helps!

Answer and Step-by-step explanation:

The computation is shown below;

As we know that

The simple interest is

Simple interest = Principal × rate × time

For Account A, the principal would be

2 = Principal × 3.2% × 3

So, the principal is $20.83

For account B, the principal would be

38.50 = Principal × 2.2% × 30

So, the principal is $58.33

Now the interest for both the accounts are as follows

For account 1

= $20.83 × 3.2%

= $0.67

And, for the account 2

= $58.33 × 2.2%

= $1.28

As it can be seen that the account 2 has the highest interest

The same is to be considered

4 0
2 years ago
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