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AysviL [449]
2 years ago
13

Michael has 3 quarters, 2 dimes, and 3 nickels in his pocket. He randomly draws two coins from his pocket, one at a time, and th

ey are both dimes. He says the probability of that occurring is 1 4 because 2 of the 8 coins are dimes. Is he correct? Explain.
Mathematics
2 answers:
MrMuchimi2 years ago
7 0

I know someone already put in a correct answer but here’s the one I wrote,

He is incorrect because the probability of pulling a dime out of his pocket is 2/8 but if he wishes to pull a dime again his probability would be 1/7. To find the total probability you would need to times the numbers which then gives you 2/56 but if you simplify you get 1/28 meaning you have a 1 in 28 chance of pulling two dimes in a row.

Annette [7]2 years ago
4 0

Answer: No. Choosing two dimes are dependent events. The probability of choosing the first dime is 1/4 and the probability of choosing the second dime is 1/7. The probability that both coins are dimes is (1/4)(1/7) = 1/28.



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Willie and his brothers went to TGI Mondays. Their order consisted of 3 cheeseburgers at $8.75 each, a fish sandwich for $6.75,
Sladkaya [172]

<u>Answer:</u>$68.69

<u>Step-by-step explanation:</u>

Calculation of bill value

Cheeseburgers  =    26.25

(8.75 x 3)

Fish Sandwich    =     6.75

Pizza                    =    14.99

Sweet Tea

(4 x 2.09)              =    8.36

Total of items        =  56.35

Sales tax on food  =   3.381

(56.35 x 6%)          

Total bill value       = 59.731

Calculation of tips

Bill value x 15%

=59.731 x 15%

Tips paid=8.95965

Calculation of meals cost

Total meal cost = Bill value + tips

=59.731+8.95965

=$68.69

Total meal cost is $68.69

7 0
2 years ago
Z=25/5 what is the next step in the equation solving sequence.
lbvjy [14]

Answer:

5

Step-by-step explanation:

Z = 25/5

in simplest form........

25/5 = 5/1

so the answer is 5.

3 0
2 years ago
Compute the integral (a) int sin (pi x) dx by letting u = pi x. (b) int e^(x/2) dx by letting u = x/2. Show that you got the cor
Maslowich

Answer:

(a) \int sin(\pi x) dx=-\frac {cos \pi x}{\pi}+c

(b)\int e^\frac{x}{2} dx =2e^\frac{x}{2}+c

Step-by-step explanation:

(a)

\int sin(\pi x) dx

Let u = π x

differentiating with respect to x

du = π dx

\Rightarrow dx=\frac{du}{\pi}

Putting the value of x and dx

=\int sin u \frac{du}{\pi}

=\frac{-cos u}{\pi}+c    [ c is an arbitrary constant]

Now putting the value of u

=-\frac {cos \pi x}{\pi}+c  

(b)

\int e^\frac{x}{2} dx

Let u=\frac{x}{2}

differentiating with respect to x

du= \frac{1}{2} dx

2du = dx

Putting the value of x and dx

=\int e^u.2.du

=2e^u +c

Now putting the value of u

=2e^\frac{x}{2}+c       [ c is an arbitrary constant]

3 0
2 years ago
Which expression is equivalent to the equation?
IrinaK [193]

Answer:

Option 1

Step-by-step explanation:

The given equation equals 3072, so find the other equation that equals 3072.

Option 1 = 3072 - correct

Option 2 = 432 - wrong

Option 3 = 2883 - wrong

Option 4 = 432 - wrong

I hope this helps!

4 0
1 year ago
Can please solve this? x⁴+2x³-13x²+24=0​
Soloha48 [4]

Answer:

1. x = 4

2. x = 2

3. x = -1

4. x = -3

Step-by-step explanation:

1. (x4)-(2•(x3)))-13x2)+14x)+24  = 0

2. ((x4) -  2x3) -  13x2) +  14x) +  24  = 0

3.  Find roots (zeroes) of :       F(x) = x4-2x3-13x2+14x+24

Polynomial Roots Calculator is a set of methods aimed at finding values of  x  for which   F(x)=0  

Rational Roots Test is one of the above mentioned tools. It would only find Rational Roots that is numbers  x  which can be expressed as the quotient of two integers

The Rational Root Theorem states that if a polynomial zeroes for a rational number  P/Q   then  P  is a factor of the Trailing Constant and  Q  is a factor of the Leading Coefficient

In this case, the Leading Coefficient is  1  and the Trailing Constant is  24.

The factor(s) are:

of the Leading Coefficient :  1

of the Trailing Constant :  1 ,2 ,3 ,4 ,6 ,8 ,12 ,24

7 0
2 years ago
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