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grigory [225]
4 years ago
7

Suppose that to make the golf team you need to score no more than 74 on average over 5 games. If you scored 77, 71, 77, and 67 i

n your first 4 games what is the highest score you can shoot in your 5th game and still make the team?
A. 76
B. 78
C. 79
D. 80
Mathematics
1 answer:
strojnjashka [21]4 years ago
4 0
The answer is letter B. 78
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The sequence 2, 3, 5, 6, 7, 10, 11, $\ldots$ contains all the positive integers from least to greatest that are neither squares
mariarad [96]

Answer:

  1041

Step-by-step explanation:

Among the numbers 1–1000, there are 31 squares, so the sequence will extend to at least 1031. In those added numbers, there is another square (1024), so the sequence must extend to at least 1032.

There are 7 more numbers that are cubes, but not squares, so the sequence must extend to at least 1039.

And there are 2 additional numbers that are 5th powers that are not squares or cubes. Compensating for the removal of these numbers extends the end of the sequence to 1041.

There are no numbers in this range that are both cubes and 5th powers and that have not already been accounted for. (The only 15th power is 1.)

Hence, the 1000th number in the sequence is 1041.

_____

This result is verified by a computer program that listed the numbers.

3 0
4 years ago
Answer 8 and 9 for 10+ points
castortr0y [4]

Answer:

question 8 : it is equal to 0

Question 9 : 4+5\sqrt{2}

Step-by-step explanation:

= \sqrt{7} -\sqrt{28}\\2\sqrt{7} - \sqrt{4x7}\\2\sqrt{7} - 2\sqrt{7}\\0\\\sqrt{2} (5+\sqrt{8})\\5\sqrt{2} + \sqrt{2*8}\\5\sqrt{2} + 4\\4 + 5\sqrt{2}

4 0
3 years ago
What is -5.1982569 to the nearest hundredths
s2008m [1.1K]
-  5  .  1  9  8  2
               |
   hundredths place

so -5.2 or -5.20 for sig. fig.
5 0
3 years ago
Read 2 more answers
A running shoe store mounts a new promotional campaign. Purchasers of new shoes may, if dissatisfied for any reason, return them
Vitek1552 [10]

Answer:

a

             P(K = k ) = \  ^nC_x * p^k  *  (1-p)^{n-k}

Here  k is the random number of number of pairs of shoes that will be returned for refund, which can be  k = 0,1 ,2,3,4 ..., 120

b

The mean is   E(K) =  np =  13.2  

The  standard deviation is  \sigma =  3.43

c

The mean is  E(C) =   E(105 K) =  1386

The standard deviation is   \sigma  =  381.48  

Step-by-step explanation:

From the question we are told that

   The  cost to dealer for each refund is  C =  \$105

   The  probability  that a shoe will refunded is  P(x) =  0.11

   The number of shoes purchased is  n  =  120 pairs

Generally the probability distribution of the number of pairs of shoes that will be returned for refunds is

          P(K = k ) = \  ^nC_x * p^k  *  (1-p)^{n-k}

Here  k is the random number of number of pairs of shoes that will be returned for refund, which can be  k = 0,1 ,2,3,4 ..., 120

Generally the mean is mathematically represented as

     E(K) =  np =  120 * 0.11

=>    E(K) =  np =  13.2  

Generally the  standard deviation is mathematically represented as

     \sigma  =  \sqrt{ n*  p  (1-p)}

=>    \sigma  =  \sqrt{ 120* 0.11  (1-0.11)}

=>    \sigma =  3.43

Generally the total refund cost is mathematically represented as

     C =  105 K

Here K denotes the number of shoes returned

Generally the mean of the total refund cost is mathematically represented as

           E(C) =   E(105 K) =  105 E(K)

=>         E(C) =   E(105 K) =  105 * 13.2

=>         E(C) =   E(105 K) =  1386

Generally the variance of the total refund cost is mathematically represented as

       Var(K) =  105^2 *  E(K)

=>     Var(K) =  105^2 *  13.2

=>    Var(K) =  145530  

=>      \sigma =  \sqrt{145530 }

=>    \sigma  =  381.48  

   

7 0
3 years ago
Solve for given time
xxMikexx [17]

Answer:

let P=36000

R=12%

T=2years

Step-by-step explanation:

no.of bacteria after 2=P(1+R/100)^t

=36000(1+12/100)²=45158.4

3 0
3 years ago
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