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ELEN [110]
3 years ago
6

Find the product of 7 and 4.76

Mathematics
1 answer:
jenyasd209 [6]3 years ago
8 0

Multiply from right to left:

Step 1: multiply 6*7 and get 42. Carry the 4 left.

Step 2; multiply 7*7 to get 49. Add the 4 and get 53. Carry the 5 left.

Step 3: multiple 4*7 to get 28. Add 5 and get 33.

Step 4: move the decimal point 2 times to the left.

4.76

*7

_______

33.32

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A box contains 5 red and 5 blue marbles. Two marbles are withdrawn randomly. If they are the same color, then you win $1.10; if
topjm [15]

Answer:

a) The expected value is \frac{-1}{15}

b) The variance is  \frac{49}{45}

Step-by-step explanation:

We can assume that both marbles are withdrawn at the same time. We will define the probability as follows

#events of interest/total number of events.

We have 10 marbles in total. The number of different ways in which we can withdrawn 2 marbles out of 10 is \binom{10}{2}.

Consider the case in which we choose two of the same color. That is, out of 5, we pick 2. The different ways of choosing 2 out of 5 is \binom{5}{2}. Since we have 2 colors, we can either choose 2 of them blue or 2 of the red, so the total number of ways of choosing is just the double.

Consider the case in which we choose one of each color. Then, out of 5 we pick 1. So, the total number of ways in which we pick 1 of each color is \binom{5}{1}\cdot \binom{5}{1}. So, we define the following probabilities.

Probability of winning: \frac{2\binom{5}{2}}{\binom{10}{2}}= \frac{4}{9}

Probability of losing \frac{(\binom{5}{1})^2}{\binom{10}{2}}\frac{5}{9}

Let X be the expected value of the amount you can win. Then,

E(X) = 1.10*probability of winning - 1 probability of losing =1.10\cdot  \frac{4}{9}-\frac{5}{9}=\frac{-1}{15}

Consider the expected value of the square of the amount you can win, Then

E(X^2) = (1.10^2)*probability of winning + probability of losing =1.10^2\cdot  \frac{4}{9}+\frac{5}{9}=\frac{82}{75}

We will use the following formula

Var(X) = E(X^2)-E(X)^2

Thus

Var(X) = \frac{82}{75}-(\frac{-1}{15})^2 = \frac{49}{45}

7 0
3 years ago
How do you write 11/20 as a percentage
rewona [7]

Answer:

55%

Step-by-step explanation:

11/20 =

11 ÷ 20 =

0.55 =

0.55 × 100/100 =

0.55 × 100% =

8 0
2 years ago
Read 2 more answers
Danny buys 4 pizzas and some pretzels for his baseball team. The cost of each pizza is $8.99, and the cost of each pretzel is $0
Luba_88 [7]

Answer:


Step-by-step explanation: The answer to your question is 15 pretzels.To figure this out, you first multiply 8.99 by 4 since he did buy 4 pizzas and each pizza is 8.99. Then once you do that, you should come up with 35.96. Then subtract 50.81 from 35.96,which should give you 14.85. Then just divide 14.85 by 0.99 to figure out the amount of pretzels he bought.It should give you 15.Hope this helps!!!!

Please give brainliest!!!☺


4 0
3 years ago
Read 2 more answers
I need help..............
vovangra [49]

Answer:

  a_n=-3+7(n-1)

Step-by-step explanation:

The recursive rule tells you the initial term of the sequence is a1 = -3, and the common difference is d=7. (7 is the value added to one term to get the next term.)

Putting these values into the formula for the explicit rule gives ...

  an = a1 +d(n -1)

  an = -3 + 7(n -1)

7 0
3 years ago
What step do u preform first when evaluating the expression 3 + (18 - 6) + 20 divided by 4
Elena L [17]

Answer:

Step-by-step explanation:

=3+(18-6)+20÷4

=3+12+20÷4

=3+12+5

=20

use BODMAS rule (Bracket of Division, Multiplication, Addition, and Subtraction)

5 0
2 years ago
Read 2 more answers
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