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masya89 [10]
1 year ago
10

26. Aluminum bronze consists of copper and aluminum, usually in the ratio of 10:1 by weight. If a machine made of this alloy wei

ghs 66 pounds, how many pounds of aluminum does it contain? (A) 660 (B) 60 (C) 6.6 (D) 6​
Mathematics
1 answer:
skelet666 [1.2K]1 year ago
6 0

Answer:

(D). 6.

Step-by-step explanation:

The number of parts = 1 + 10 = 11.

So 10/11 of the alloy is copper and 1/11 is aluminium.

So the answer is 1/11 * 66

= 66/11= 6 pound,s

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An individual who has automobile insurance from a certain company is randomly selected. Let y be the number of moving violations
Hoochie [10]

Answer:

a) E(Y)= \sum_{i=1}^n Y_i P(Y_i)

And replacing we got:    

E(Y) = 0*0.45 +1*0.2 +2*0.3 +3*0.05= 0.95

b) E(80Y^2) =80[ 0^2*0.45 +1^2*0.2 +2^2*0.3 +3^2*0.05]= 148

Step-by-step explanation:

Previous concepts

In statistics and probability analysis, the expected value "is calculated by multiplying each of the possible outcomes by the likelihood each outcome will occur and then summing all of those values".  

The variance of a random variable Var(X) is the expected value of the squared deviation from the mean of X, E(X).  

And the standard deviation of a random variable X is just the square root of the variance.  

Solution to the problem

Part a

We have the following distribution function:

Y        0         1         2       3

P(Y)  0.45    0.2    0.3   0.05

And we can calculate the expected value with the following formula:

E(Y)= \sum_{i=1}^n Y_i P(Y_i)

And replacing we got:    

E(Y) = 0*0.45 +1*0.2 +2*0.3 +3*0.05= 0.95

Part b

For this case the new expected value would be given by:

E(80Y^2)= \sum_{i=1}^n 80Y^2_i P(Y_i)

And replacing we got

E(80Y^2) =80[ 0^2*0.45 +1^2*0.2 +2^2*0.3 +3^2*0.05]= 148

5 0
3 years ago
A store offered a 15% discount for all employees. What is the amount of
Rom4ik [11]

Answer: discount amount is $6.75

Step-by-step explanation:

1. multiply 45 by 15% (0.15) = $6.75

2. price of an item with discounted amount would equal $38.25

4 0
2 years ago
P is directly proportional to u.
nata0808 [166]

Answer:

?????????????????????????

Step-by-step explanation:

????????????????????????

4 0
2 years ago
Read 2 more answers
A single​ 6-sided die is rolled twice. The set of 36 equally likely outcomes is​ {(1,1), (1,2),​ (1,3), (1,4), left parenthesis
Dennis_Churaev [7]

Answer:

The probability of getting two numbers whose sum is greater than 9 and less than 13 is \frac{1}{6}

Step-by-step explanation:

Given : A single​ 6-sided die is rolled twice.

To find : The probability of getting two numbers whose sum is greater than 9 and less than 13 ?

Solution :

The set of 36 equally likely outcomes,

          1              2              3              4               5             6

1 (1, 1) (1, 2) (1, 3) (1, 4) (1, 5) (1, 6)

2 (2, 1) (2, 2) (2, 3) (2, 4) (2, 5) (2, 6)

3 (3, 1) (3, 2) (3, 3) (3, 4) (3, 5) (3, 6)

4 (4, 1) (4, 2) (4, 3) (4, 4) (4, 5) (4, 6)

5 (5, 1) (5, 2) (5, 3) (5, 4) (5, 5) (5, 6)

6 (6, 1) (6, 2) (6, 3) (6, 4) (6, 5) (6, 6)

Getting two numbers whose sum is greater than 9 and less than 13

The favorable outcome is (4,6),(5,5),(5,6),(6, 4),(6, 5),(6, 6) = 6

The probability is given by,

\text{Probability}=\frac{\text{Favorable Outcome}}{\text{Total Outcome}}

\text{Probability}=\frac{6}{36}

\text{Probability}=\frac{1}{6}

Therefore, The probability of getting two numbers whose sum is greater than 9 and less than 13 is \frac{1}{6}

5 0
3 years ago
Your recipe for lemonade calls for 2 liters, 5 deciliters of lemon juice mixed with 3 liters, 2 deciliters of water. How much le
natima [27]

Answer:

5.7 liters

Step-by-step explanation:

The sum of 2 liters, 5 deciliters of lemon juice and 3 liters, 2 deciliters of water will be given as

2+3=5 liters

5+2=7 deciliters

Therefore, we get 5 liters, 7 deciliters of lemonade

Conversion

10 deciliters equal to 1 liter hence 7 deciliter will be 7/10=0.7 liters

5+0.7=5.7 liters

7 0
3 years ago
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