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Lilit [14]
4 years ago
12

Ruby flipped the coin and spun the spinner below. What is the probability that the coin will land on heads AND the spinner will

land on either a 2 or a 3?
A. 1/2
B 1/4
C. 1/10
D. 1/3

Mathematics
1 answer:
andreyandreev [35.5K]4 years ago
8 0

Answer:

B.  1/4.

Step-by-step explanation:

There are 2 2's and 3 3's on the spinner and a total of 10 sectors, so the probability of getting a 2 or 3 = 5/10 = 1/2.

The probability of a head is 1/2.

So the required probability = 1/2 * 1/2 = 1/4.

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Technetium-99m is used as a radioactive tracer for certain medical tests. It has a half-life of 1 day. Consider the function T w
Alinara [238K]

Answer:

The expression that represents the number of days until only 10% remains is T((d) 10 %) =100×(\frac{1}{2} )^{3.322}.

Step-by-step explanation:

The equation for half life is of the form

A = A₀×(\frac{1}{2} )^{\frac{t}{h} }.........................................................................(1)

Where

A = Final amount

A₀ = Initial amount

t = Time

h = Half life

For the equation T(d) = 100×2⁽⁻²⁾....................................(2)

We have by comparison with the equation for half life

2 ≡ \frac{t}{h}  and and the equation (2) can be written as

Percentage remaining after 2 half lives is

\frac{A}{A_0} ×100=100×(\frac{1}{2} )^{2 }

However if the half life of Technetium-99m is 6 hours then we have for one day

\frac{A}{A_0} ×100=100×(\frac{1}{2} )^{2 *2}

Therefore an expression that represents the number of days until only 10% remains is

\frac{A}{A_0} ×100=100×(\frac{1}{2} )^{\frac{d}{h}  } = 10 %

(\frac{1}{2} )^{\frac{d}{h}  } =\frac{1}{10}

= ㏑(\frac{1}{2} )^{\frac{d}{h}  }  = ㏑(\frac{1}{10})

= \frac{d}{h}×㏑(\frac{1}{2} ) = ㏑(\frac{1}{10})

\frac{d}{h} = \frac{ln(\frac{1}{10}) }{ln(\frac{1}{2} )} = 3.322

Therefore the expression for the number of days 10 % of Technetium-99m will be remaining is

T((d) 10 %) =100×(\frac{1}{2} )^{3.322}

3 0
4 years ago
PLeaseee helppp fast best answer gets brainliest good luck ;)
valentinak56 [21]

Answer:

a. 6

b. 144

Step-by-step explanation:

a. 25% of 24 is 6

b. 24 x 6 = 144

4 0
3 years ago
The point (2,1) is a solution to which of the following systems of equations
Triss [41]

Answer:

x+y = 3

3x-y = 5

Step-by-step explanation:

x+y = 3

3x-y = 5

This system of equation will give the points(2,1).

Lets substitute the values x=2 and y = 1 in the equations:

x+y=3    equation 1

2+1 =3

3=3

3x-y=5  equation 2

3(2)-1=5

6-1=5

5=5

Lets solve the system:

Add the equations to eliminate y from the system:

x+y = 3

3x-y = 5

_______

4x    = 8

Now divide both the sides by 4

4x/4 = 8/4

x=2

Now substitute the value of x in equation 1:

x+y=3

2+y=3

Combine the constants:

y=3-2

y=1....

4 0
4 years ago
Pls help LOL I WILL MARK U BRAINLIEST‼️‼️‼️‼️
LiRa [457]

Answer:

B=17

A=16

Step-by-step explanation:

It is my friend OK if you want say again and I can ans

5 0
3 years ago
Is it possible for a triangle to have 10 for the base and 7 and 8 for the other sides
tiny-mole [99]
The hypotenuse needs to be longest side but with inequalities it is more complicated so I am pretty sure you can not have those lengths on the triangle.
Might wait for a more qualified person to answer though, but that is my thought on it..
5 0
3 years ago
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