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vichka [17]
3 years ago
15

Certain items are purchased jointly. If each person pays 8coins, the surplus is 3coins, and if each person gives 7coins, the def

iciency is 4coins. Let x represent the number of people and y the number of coins needed to purchase the items. Find the numberof people and the number of coins used to purchasethe items.

Mathematics
2 answers:
qaws [65]3 years ago
7 0

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kicyunya [14]3 years ago
4 0

Answer:

  • 7 people
  • 53 coins

Step-by-step explanation:

The problem statement tells us ...

  8x = y +3

  7x = y -4

Subtracting the second equation from the first gives ...

  x = 7

Then ...

  y = 7x +4 = 7·7 +4 = 53

There are 7 people, and 53 coins are required for purchase.

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A n =−1+3(n−1) an=−1+3(n−1) what is the 55 term in the sequence
Sindrei [870]
ANSWER

a_{55}=161


EXPLANATION

The general term for the sequence is


a_n=-1+3(n-1)


To find the 55th term, we have to substitute
n = 55
in to the general term and simplify.



This implies that,

a_{55}=-1+3(55-1)



a_{55}=-1+3(54)




a_{55}=-1+162



a_{55}=161


Therefore the 55th term is 161.
8 0
3 years ago
Answer it all please
fgiga [73]
What do you need help with? it helps us to know the question!
3 0
3 years ago
A four year old is going to spin around with his arms stretched out 100 times. From past experience, his father knows it takes a
Sati [7]

Answer:

P(X \geq0.55) \leq 0.22

Step-by-step explanation:

Using central Limit Theorem (CLT), The sum of 100 random variables;

Y=X_1+X_2+...+X_{100} is approximately normally distributed with

Y ~ N (100 × \frac{1}{3^2} ) = N ( 50, \frac{100}{9} )

The approximate probability that it will take this child over 55 seconds to complete spinning can be determined as follows;

N ( 50, \frac{100}{9} )

P(Y>55) =P(Z>\frac{55-50}{10/3})

P(Y>55) =P(Z>1.5)

P(Y>55) =\phi (-1.5)

P(Y>55) =0.0668

Using Chebyshev's inequality:

P(|X-\mu\geq K)\leq \frac{\sigma^2}{K^2}

Let assume that X has a symmetric distribution:

Then:

2P(X-\mu\geq K)\leq) \frac{\sigma^2}{K^2}

2P(X \geq \mu+K)\leq) \frac{\sigma^2}{K^2}

2P(X\geq0.5+0.05)\leq \frac{\frac{1}{\frac{3^2}{100} } }{0.05^2}               where: (\sigma^2 = \frac{1}{3^2/100})

P(X \geq0.55) \leq 0.22

6 0
3 years ago
Line AB contains (0,4) and (1,6). Line CD contains points (2,10) and (-1,4). Lines AB and CD are
beks73 [17]

Answer: parallel because the slopes are the same

Step-by-step explanation:

3 0
3 years ago
Find the slope of the line that contains <br>(0,4). <br>(5,0)​
stich3 [128]

Answer:   -4/5

Step-by-step explanation:

you can use slope formula to solve this question. (Y1-Y2)/(X1-X2). So the answer to this question should be (0-4)/(5-0)=  -4/5

8 0
3 years ago
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