A coin is tossed ten times. The probability of heads on each toss is 0.5. Evaluate the probability of getting exactly 6 heads.

Answers

Answer 1

Answer: The probability of getting exactly 6 heads is: 10!/6!(10-6)! * (1/2)^6 (1 - 1/2)^4 = 0.205 or 20.6 %

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Solve the inequalitiesg + 2 - 2 (g - 16) > 0A. g > -30B. g < -30C. g > 34D. g < 34
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Tian makes his own pizza dough. he uses 2 packages of yeast for every 5 cups of flour. if he needs 15 cups of flour to make enough pizza for his family, how many packages of yeast does he need?

How do you solve (-4×6)+8÷-2

Answers

PEMDAS
parenthasees first
exponents
mulitplication or division
additon or subtraction

read from leaft to right

paretnahseese
(-4 times 6)
negative tiems positive=negative
-4 tiems 6=-24

now we have
-24+8/-2
division
8/-2
positive divided by negative=negative8/-2=-4

now we have
-24-4
add
-24-4=-28

answer is -28

Solve the system of equations x - 2y = 2 and 3x - 5y = 9 by writing and solving a matrix equation. Show all your work.

Answers

we solve X simultenously
x - 2y =2................equation 1
3x - 5y =9.............equation 2
find urself third equation frm dis two equations
x = 2+2y...........equation 3
SUB: 3 IN 2
3(2+2y)-5y =9
solve y
6+6y-5y=9
6y-5y=9-6
1y=3
divide both side by 1
therefore Y=3

SUB:Y=3 IN EQUATION 3
x=2+2(3)
x=8

George bought a Christmas tree to put in his living room.He paid$50 for his tree. After he took it home, he realized it was too tall and sold it to his neighbor for $60.his neighbor put the lights on the tree and then decided the tree was to wide. George looked at the tree again and offered to buy the tree back for $70. He was no longer pleased with the tree so he sold it for$80. What was George 's financial outcome on hie venture?

Answers

George's financial outcome includes a profit of $20.

We have a buy and sell situation between George and his Neighbor as mentioned in the question.

We have to find out about George 's financial outcome after the complete process.

What is the formula to calculate the profit and loss of an object?

The formula to calculate -

Profit = Cost price - Selling price

Loss = Selling price - cost price

According to the question, we have -

Case - 1 :

Cost of tree bought by George = $50

Amount at which he sold it to his neighbor = $60

Case - 2 :

New Cost George offered to buy the tree back = $70

New cost at which the George sold it again = $80

Now -

Profit in Case 1 for George = $60 - $50 = $10

Profit in Case 2 for George = $80 - $70 = $10

Now -

initial cost of tree = $60

final cost at which George sold it = $80

Profit = $80 - $ 60

Profit = $ 20

Hence, George's financial outcome includes a profit of $20.

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George's financial outcome was $70. He bought it for $50, and then he sold it for $60 in return. He bought it for $70 again, so subtract 60-70= -10. He then sold it for $80 which he gained so -10 + 80 = $70.

Subtract (3 + 2i) from (–9 – 8i).a. –17 – 5i

b. –6 – 6i

c. –12 – 10i

d. 12 + 10i

Answers

The answer is -12-10i

Given two complex numbers

First complex number = 3+2i ....(1)

Second Complex number = -9-8i..... (2)

Subtracting equation (1) from equation (2)

As this is a subtraction between complex numbers hence the Real part gets subtracted from the real part and the imaginary part gets subtracted from the imaginary part

( -9- 8i ) - ( 3 +2i )

= -9 -3 -8i - 2i

= -12 -10i

For more information please refer to the link given below

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(-9-8i)-(3+2i)
= -9-8i-3-2i
Separate i and the numbers
= (-9-3)+(-8i-2i)
= -12-10i

8 1/4 pounds of flour are used to make 4 1/8 papier-mâché pasta recipe how much flour is used in one recipe

Answers

2 pounds of flour are required to make 1 recipe, as of the given condition.

Given that
8 1/4 pounds of flour are used to make 4 1/8 paper-mâché pasta recipe how much flour is used in one recipe is to be determined.

What is simplification?

The process in mathematics to operate and interpret the function to make the function or expression simple or more understandable is called simplifying and the process is called simplification.

Here,

Flour = 8 1/4
Flour = 8.25 pounds
The proportion of the recipe made corresponding to 8.25 pounds of flour = 4.125
Now,
For 1 recipe = 8.25 / 4.125 = 2 pounds of flour are needed.

Thus, 2 pounds of flour are required to make 1 recipe, as of the given condition.

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Answer:

1/6

Step-by-step explanation:

ive seen that question b4

A teacher wants to arrange 16 chairs in equal rows in his classroom. How can he arrange the chairs? () in 4 rows, with 20 chairs in each row () in 2 rows, with 8 chairs in each row » In Brows, with 8 chairs in each row () in 3 rows, with 5 chairs in each row My Progress Sign out

Answers

The possible arrangement can be done as -

2 rows, with 8 chairs in each row.
4 rows, with 4 chairs in each row.
8 rows, with 2 chairs in each row.

What is a Arrangement? What is equation modelling? What is a mathematical equation and expression?

Arrangement numbers, more commonly called permutation numbers, or simply permutations, are the number of ways that a number of things can be ordered or arranged.
Equation modelling is the process of writing a mathematical verbal expression in the form of a mathematical expression for correct analysis, observations and results of the given problem.