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cupoosta [38]
3 years ago
9

Help me answer the question in the image!

Mathematics
1 answer:
Travka [436]3 years ago
7 0

Answer:

29107

Step-by-step explanation:

Every next 'level', a ring of balls is added.

The ring has 6 sides of n balls, but you would then count all 6 corners double, so you have to subtract 6.

So Bₙ = Bₙ₋₁ + 6n - 6

This gives you a sequence of 1, 7, 19, 37, 61, 91, 127, 169, 217, 271, 331, ...

All the way up to 29107 at 100 balls.

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In any​ year, the weather can inflict storm damage to a home. From year to​ year, the damage is random. Let Y denote the dollar
krok68 [10]

Answer:

a. mean = 1000

standard deviation = 4358.9

b. expected value of average damage bar Y = 1000

probability bar y exceeds 2000 = 0.011

Step-by-step explanation:

we have p1 = 95%, y1 = 0, p2 = 5%, y2 = 20000

Mean = (0.95 * 0) + (0.05 * 20000)

= 1000

var(y) = E(y²) - E(Y)²

= we solve for E(y)²

= 0²*0.95 + 20000²*0.05

= 0 + 20000000

then the variance of y = 20000000 - 1000²

=20000000-1000000

= $19000000

standard  deviation is the square root of variance

= √19000000

= 4358.9

2.

a. Expected value of average is also the mean = 1000

b. we are to find probability that barY exceeds 2000

z=\frac{2000-1000}{\sqrt{19000000/100} }

= 1000/435.889

= 2.29

1-p(z≤2.29)

= 1 - 0.989

= 0.011

so the probability that barY exceeds 2000 is 0.011

8 0
3 years ago
Function or not a function
Ne4ueva [31]

Answer: Not a function

Step-by-step explanation:

3 0
3 years ago
If BE = 2x + 2, BD = 5x – 3, and AE = 4x – 6, what are the values of x and AC?
Keith_Richards [23]

Answer: x=7 and AC = 44 unuts.

Step-by-step explanation:

We know that the diagonals of a parallelogram bisect each other. (i)

Here in parallelogram ABCD , AC and Bd are diagonals intersecting at E.

BE = 2x + 2, BD = 5x – 3, and AE = 4x – 6

Using (i)

BE=\dfrac{BD}{2}\\\\2x+2=\dfrac{5x-3}{2}\\\\ 2(2x+2)=5x-3\\\\ 4x+4= 5x-3\\\\ 5x-4x=4+3\\\\ x= 7

Now , AE = 4(7)-6 = 28-6 = 22

AC =2 AE = 2 (22) =44 units.

Hence, x=7 and AC = 44 unuts.

3 0
3 years ago
What is -0.4 as a decimal?
evablogger [386]

Decimal. Decimal is the base-10 notational system for representing real numbers. The expression of a number using the decimal system is called its decimal expansion, examples of which include 1, 13, 2028, 12.1, and 3.14159.

5 0
3 years ago
Read 2 more answers
If a quantity increases by 25% and then decreases by 25%, will that result be the original quantity? Explain.
alexandr1967 [171]
<span>If a quantity increases by 25% and then decreases by 25%, will that result be the original quantity? Explain.
Let’s try to be able to know the answer:
=> Let’s have 10 as the value
Increase by 25%
=> 10 + 25%
=> 10 * .25 =  2.5
=> 10 + 2.5 = 12.5 the new value
Now, decrease this by 25%
=> 12.5 – 25%
=> 12.5 * .25 = 3.125
=> 12.5 – 3.125 = 9.375 or 9.4
Thus, the given statement is false.

</span>



3 0
3 years ago
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