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Mumz [18]
3 years ago
14

The sum of four numbers is 20 and their average is 5. When a fifth is added, the new average is 6. What is the fifth number?

Mathematics
2 answers:
ipn [44]3 years ago
8 0

Answer:

10

Step-by-step explanation:

We'll note the numbers as x_{n}, x_{n+1} ...

x_1 + x_2 + x_3 + x_4 = 20\\Avg = 5\\\frac{x_1 + x_2 + x_3 + x_4 + x_5 }{5} = 6 = \frac{20 + x_5}{5}\\ 4 + \frac{x_5}{5} = 6\\\\frac{x_5}{5} = 2\\\x_5 = 10

Mama L [17]3 years ago
3 0

Answer:

10.

Step-by-step explanation:

The average of the 5 numbers =

(20 + x) / 5 = 6  where x is the 5th number.

20 + x = 30

x = 10

The fifth number is 10.

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You purchase 5 tickets to a football game from TicketMaster. In addition to the cost per ticket, the agency charges a convenienc
fiasKO [112]

The price per ticket, excluding the convenience charge, is  $65.

<h3>How to solve for the privce per ticket</h3>

the rush delivery is given as $15.

The total cost of the tickets is said to be put at $352.50

Then the value that we would have for the the 5 tickets wpould be 352.50 - 15 = $337.50.

There is the convenience charge of $2.50 per ticket. This charge is excluded from the convenience charge that is to be paid.

Hence you would have to make the payment of

337.50 - 5*2.50

= 325.

Next we are to solve for the price of the ticket whioch is independent of the convenience charge

= 325 / 5

= $65

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6 0
1 year ago
During the first 15 weeks of the 2016 season of a certain professional football​ league, the home team won 141 of the 241 ​regul
rusak2 [61]

Answer:

The answer is 2.0190

Step-by-step explanation:

<em>From the given question,</em>

<em>We recall that,</em>

<em>p = 141/241 = 0.5850</em>

<em>so, p = 0.5</em>

<em>The Hypothesis is:</em>

<em>H₀ : P = 0.5, this means that  H0:50% of the games played will be won</em>

<em>vs</em>

<em>H₁ : P > 0.5, This indicates that, win is greater than 0.5 due to home field advantages.</em>

<em>n=241,x=141</em>

<em>Then,</em>

<em>SD(p)=√(p*q/n)=√(0.5*0.5/141)=0.0421</em>

<em>z = p - p/ SD (p) = 0.5850 - 0.5/0.0421 = 0.085/0.0421 =2.0190</em>

<em>therefore, there is strong evidence that there is home field advantages in professional football.</em>

8 0
3 years ago
→ PLEASE HELP ME! [99 POINTS] ←
zaharov [31]
B.

The cost for x children and y adults to go to the movies if adult tickets are $11 and child tickets are $6.

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5 0
3 years ago
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In 2015, the population of a small town in Florida is 95. If he population increases 15% every year, approximately what will the
vova2212 [387]

The population is increasing every year. so we use exponential growth function

y=a(1+r)^x

Where 'a' is the initial population

r is the rate of increase

x is the years

y is the final population

In 2015, the population of a small town in Florida is 95

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r= 15%= 0.15

x = 2023 - 2015 = 8 years

Plug in all the values and find out y

y=a(1+r)^x

y=95(1+0.15)^8

y = 290.607

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8 0
3 years ago
I need help with this math problem plz help and plz explain your answer​
IceJOKER [234]

Answer:

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Formula for a trapezoid:

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14.8 ÷ 2 = 7.4

7.4 × 4.6 = 34.04

The answer is 34.04 cm²

8 0
3 years ago
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