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3 years ago

13

A rectangular sheet of paper $8\frac{1}{2}$ inches by 11 inches is folded and then taped so that one pair of opposite vertices c

oincide. What is the number of inches in the perimeter of the resulting pentagon

1 answer:

Pani-rosa [81]3 years ago

6 0

Answer:

32.2 inches

Step-by-step explanation:

You might be interested in

What is the area or the figure below?

nataly862011 [7]

U have to cross out the 10 then u have those 4 5s 5x5=25 5x5=25 25+25=50.

(My answer might be wrong so wait until other ppl answer. If I got riGhT like my thing -3-)

5 0

3 years ago

Read 2 more answers

Find the interest rate needed for the sinking fund to reach the required amount. Assume that the compounding period is the same

Maslowich

Answer:

so rate is 4.72 %

Step-by-step explanation:

Given data

time (t) = 5 year = 5×4 = 20 quarterly

amount = $27456

principal = $1225

to find out

interest rate (r)

solution

we use here amount formula that is

amount = principal ( $(1+r)^{t}$ -1 ) / r .....................1

put all value principal , amount and time in equation 1 and we get rate

rate is r/4 because it is quarterly payment

amount = principal ( $(1+r/4)^{t}$ -1 ) / r/4

27456 = 1225 ( $(1+r/4)^{20}$ -1 ) / r/4

( $(1+r/4)^{20}$ -1 ) / r/4 = 27456/ 1225

( $(1+r)^{20}$ -1 ) / r = 27456/ (1225 × 4)

( $(1+r)^{20}$ -1 ) = r 27456/ (1225 × 4)

now by the tvm solver and amount $27456

graph value

we get r = 0.0472

so rate is 4.72 %

5 0

2 years ago

Read 2 more answers

A couple plans to have children until they get a girl, but they agree they will not have more than three children, even if all

barxatty [35]

Answer:

a)Let X be number of children

X=1,2,3

P(X=1)= 0.47

P(X=2) = 0.2491

P(X=3) = 0.942923

b) 3.7970

c) 1.6232

Step-by-step explanation:

The complete question is:

A couple plans to have children until they get a girl, but they agree they will not have more than three children, even if all are boys. Assume that the probability of having a girl is 47.00%.

a) Create a probability model for the number of children they'll have.

X=1,2,3

P(X=1)=??

P(X=2)= ??

P(X=30=???

(Round to four decimal places as needed

b) Find the expected number of children.

E(X)= ???

c) Find the expected number of boys they'll have.

Expected number of boys= ???

Solution:

Probability of a girl= 0.47

Probability of a boy= 0.53

a) P(X=1)= 0.47

P(X=2) = 0.47× 0.53= 0.2491

P(X=3)= 0.47× 0.53× 0.53 + 0.53× 0.53× 0.53

= 0.942923

b) E(number of children)= 1× P(X=1) + 2 ×P(X=2) + 3 × (PX=3)

= 3.796969

c) Y: number of boys

P(Y=1)= 0.53×0.47= 0.2491

P(Y=2) = 0.53×0.53×0.47=0.46375

P(Y=3)= 0.53× 0.53× 0.53= 0.148875

E(Y)= P(Y=1)×1 + P(Y=2)×2 + P(Y=3)×3

= 0.148875×3 +0.46375×2+0.2491 ×1

= 1.6232

5 0

2 years ago

Find the area of the parallelogram in square units.

uysha [10]

I think it’s 40
The width is 8
And the length is 5
8 x 5 is 40

3 0

2 years ago

Read 2 more answers

kvasek [131]

Answer:

the minimal number is 3

Step-by-step explanation:

6 0

2 years ago