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goldenfox [79]
3 years ago
13

The average (arithmetic mean) of four numbers is 4a + 16. When a fifth number is added, the average becomes 5a + 20. The fifth n

umber is
A. a - 4
B. a + 4
C. 4a + 4
D. 4a + 16
E. 9a + 36
Mathematics
1 answer:
Jobisdone [24]3 years ago
6 0

Answer:

9a+36

Step-by-step explanation:

The average (arithmetic mean) of four numbers is 4a + 16. When a fifth number is added, the average becomes 5a + 20.

The average (arithmetic mean) of four numbers is 4a + 16.

Sum of 4 numbers = 4 times the average

Sum of 4 numbers =4(4a+16)= 16a+64

sum  of 5 numbers = 5 times the average of 5 numbers

Sum of 5 numbers =5(5a+20)=25a+100

fifth number = sum of 5 numbers minus the sum of 4 numbers

fifth \ number = 25a+100-(16a+64)

25a+100-16a-64

9a+36

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2.111 (4 points) An art dealer receives a shipment of five old paintings from abroad, and, on the basis of past experience, she
Veronika [31]

Answer:

0.675675675 = 67.57%

Step-by-step explanation:

P(P₀) = 0.76

P(P₁) = 0.09

P(P₂) = 0.02

P(P₃) = 0.01

P(P₄) = 0.02

P(P₅) = 0.1

P(F) is the probability that the first painting is a forgery

P(F | P₀) = 0

P(F | P₁) = 0.2

P(F | P₂) = 0.4

P(F | P₃) = 0.6

P(F | P₄) = 0.8

P(F | P₅) = 1

P(P₅ | F) = [P(F | P₅) x P(P₅)] / {[P(F | P₁) x P(P₁)] + [P(F | P₂) x P(P₂)] + [P(F | P₃) x P(P₃)] + [P(F | P₄) x P(P₄)] + [P(F | P₅) x P(P₅)]}

P(P₅ | F) = (1 x 0.1) / [(0.2 x 0.09) + (0.4 x 0.02) + (0.6 x 0.01) + (0.8 x 0.02) + (1 x 0.1)] = 0.1 / (0.018 + 0.008 + 0.006 + 0.016 + 0.1) = 0.1 / 0.148 = 0.675675675 = 67.57%

3 0
3 years ago
Which segments are congruent?
lozanna [386]

<h2><u>PLEASE MARK BRAINLIEST!</u></h2>

Answer:

The two congruent segments are EF and GF, and EH and GH.

Step-by-step explanation:

That being said, your answer is A because EF and GF are in fact congruent segments.

I hope this helps!

- sincerelynini

8 0
4 years ago
X^2+10x-y+15=0 what is the vertex of this parabola?
LuckyWell [14K]

 

\displaystyle\bf\\x^2+10x-y+15=0\\\\y=x^2+10x+15\\\\\Delta=b^2-4ac=10^2-4\cdot15=100-60=\boxed{\bf40}\\\\Vertex~is~~V\Big(x=\frac{-b}{2a};~~y=\frac{-\Delta}{4a}  \Big)\\\\\\V_x=\frac{-b}{2a}=\frac{-10}{2}=\boxed{\bf-5}\\\\\\V_y=\frac{-\Delta}{4a}=\frac{-40}{4}=\boxed{\bf-10}\\\\\\\implies~\boxed{\boxed{\bf~V\Big(-5;~-10\Big)}}

 

 

5 0
3 years ago
I need this to be in less than 5 minutes
sergij07 [2.7K]

Answer: the awnser is 9, 40, 41 mark me brainlist

Step-by-step explanation:

Sum of the squares of the two side  = Square of longest side

a² + b² = c²

a)

So let's check 7, 24, 25

Is 7² + 24² = 25²  ?

7*7 + 24*24

49 + 576 

=625.

Let us perform the other side 25²

25² = 25 * 25 = 625

Therefore the left hand side = Right hand side.

Therefore 7, 24, 25 is a Pythagorean Triple

b)

Let's check 9, 40, 41

Is 9² + 40² = 41²  ?

9² + 40²

9*9+ 40*40 

81 + 1600

=1681

Let us perform the other side 41²

41² = 41 * 41 = 1681

Therefore the left hand side = Right hand side.

Therefore 9, 40, 41 is a Pythagorean Triple.

Read more on Brainly.com - brainly.com/question/1471164#readmore

4 0
3 years ago
I need help ASAP!!!!!!!!!!!!
Marianna [84]

Answer:

I hope this helps!

7 0
3 years ago
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