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If a coin is tossed twice what is the probability of getting two heads

Degger [83]

25% because the first FLIP, it was a fifty-fifty chance. FLIP again and the chances are divided by two since you can only get 2 things, either heads or tails.

5 0

2 years ago

Becky has a board that is 2 and 3/4 feet long. She needs to cut the board into 11 pieces of equal length. How long should each p

zzz [600]

Answer:

1/4 feet long should each pieces be.

Step-by-step explanation:

Unit rate defined as the rates are expressed as a quantity of 1 such as 3 miles per second or 4 km per hour

As per the statement: Becky has a board that is 2 and 3/4 feet long.

⇒ Length of a board = $2\frac{3}{4} =\frac{11}{4}$ feet

Also, she need to cut the board into 11 pieces.

by unit rate definition:

$\text{Unit rate per pieces} = \frac{\frac{11}{4} }{11}$

or

$\text{Unit rate per pieces} = \frac{11}{4} \times \frac{1}{11} = \frac{1}{4}$

Therefore, 1/4 feet long should each pieces be.

4 0

2 years ago

Round the numbers to the nearest tenth, then find the sum: 3.296 + 0.9785.

Debora [2.8K]

Answer:

4.3

Step-by-step explanation:

first round

3.296 is 3.3

0.9785 is 1

3.3 + 1 = 4.3

4 0

2 years ago

You are choosing between two different cell phone plans. The first plan charges a rate of 23 cents per minute. The second plan c

jenyasd209 [6]

Answer:

357 minutes

Step-by-step explanation:

I subtracted 9 cents/minute from the 23 cents/minute to get 14 cents to get the difference between the two per minute charges. I then divided the monthly cost of $49.95 by .14 to get 356.79... So if you used 357 minutes in a month, the second plan would be 3 cents cheaper at $82.08 (.09 x 357= 32.13 + 49.95), vs. the first plan costing $82.11 (.23 x 357). At 356 minutes the first plan would still be cheaper.

3 0

2 years ago

The height of a tree in feet over x years is modeled by the function f(x). f(x)=301+29e−0.5x which statements are true about the

Karo-lina-s [1.5K]

Given this equation:

$f(x)=301+29^{-0.5x}$

That represents the height of a tree in feet over (x) years. Let's analyze each statement according to figure 1 that shows the graph of this equation.

The tree's maximum height is limited to 30 ft.

As shown in figure below, the tree is not limited, so this statement is false.

The tree is initially 2 ft tall

The tree was planted in x = 0, so evaluating the function for this value, we have:

 $f(0)=301+29^{-0.5(0)}=301+1=302ft$

So, the tree is initially $\boxed{302ft}$ tall.

Therefore this statement is false.

Between the 5th and 7th years, the tree grows approximately 7 ft.

if x = 5 then:

 $f(5)=301+29^{-0.5(5)}=301ft$ 

if x = 7 then:

$f(7)=301+29e^{0.5(7)}=301ft$

So, between the 5th and 7th years the height of the tree remains constant
:
$\Delta=f(7)-f(5)=301-301=0ft$

This is also a false statement.

After growing 15 ft, the tree's rate of growth decreases.

It is reasonable to think that the height of this tree finally will be 301ft. Why? well, if x grows without bound, then the term $29^{-\infty}$ approaches zero.

Therefore this statement is also false.

Conclusion: After being planted this tree won't grow.

4 0

2 years ago

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