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3 years ago

14

Jacy buys 12 bottles of orange juice at the corner store for a total cost of $8.04. If each bottle costs the same amount , how m

uch is each bottle of juice?

1 answer:

weqwewe [10]3 years ago

6 0

Answer:

$0.67

Step-by-step explanation:

8.04=12x

<u>8.04</u>=<u>12x</u>

12. 12

.67=x

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Ruby has a bird feeder which is visited by an average of 13 birds every 2 hours during daylight hours. What is the probability t

zalisa [80]

Answer:

62.93%

Step-by-step explanation:

We have to solve it by a Poisson distribution, where:

p (x = n) = e ^ (- l) * l ^ (x) / x!

Where he would come being the number of birds that there would be in 40 minutes, we know that in 2 hours, that is 120 minutes there are 13, therefore in 40 there would be:

l = 13 * 40/120

l = 4,333

Now, we have p (x> 3) and that is equal to:

p (x> 3) = 1 - p (x <= 3)

So, we calculate the probability from 0 to 3:

p (x = 0) = 2.72 ^ (- 4.33) * 4.33 ^ (0) / 0! = 0.01313

p (x = 1) = 2.72 ^ (- 4.33) * 4.33 ^ (1) / 1! = 0.0568

p (x = 2) = 2.72 ^ (- 4.33) * 4.33 ^ (2) / 2! = 0.12310

p (x = 3) = 2.72 ^ (- 4.33) * 4.33 ^ (3) / 3! = 0.17767

If we add each one:

0.01313 + 0.0568 + 0.12310 + 0.17767 = 0.3707

replacing:

p (x> 3) = 1 - 0.3707

p (x> 3) = 0.6293

Which means that the probability is 62.93%

5 0

3 years ago

Pyramid A is a square pyramid with a base side length of 7 inches and a height of 6 inches. Pyramid B has a volume of 3,136 in?.

anygoal [31]

Answer:

WE HAVE FIND HOW MUCH MAY TIME BIGGER IS THE VOLUME OF PYRAMID B THAN PYRAMID A.

The answer is 32 times

Step-by-step explanation:

Volume of Pyramid B = 3136 in³

Volume of Pyramid A = ?

We have to find volume of Pyramid A. As Pyramid is a square pyramid, its volume is given as:

$V=\frac{(b^2)(h)}{3}$

where b = base = 7 and h = height = 6. Substitute the values:

$V=\frac{7^2\cdot6}{3}\\V=98\\$

Volume of Pyramid A = 98 in³

To find how many time B is bigger than A, divide volume of B by A:

$\frac{3136}{98}=32$

So, volume of Pyramid B is 32 times bigger than volume of Pyramid A

6 0

3 years ago

Derive Euler's formula e^(ix) - cos(x) + i*sin(x) by using taylor series expansion

gavmur [86]

Answer:

the answer is probably 5

5 0

3 years ago

I need working out and answers for the following:

LenaWriter [7]

A. 4x - 3 = 2x + 7
4x - 2x = 7 + 3
2x = 10
x = 5

B. 2x + 6 = 7x - 14
2x - 7x = - 14 - 6
-5x = -20
x = 4

C. 2( x + 3) = x - 4
2x + 6 = x - 4
2x - x = -4 - 6
x = -10

D.4 ( 5x - 2) = 2( 9x + 3)
20x - 8 = 18x + 6
20x - 18x = 6 + 8
2x = 14
x = 7

E.4x - 1/2 = x - 7
4x - x = -7 + 1/2
3x = (-14 + 1)/2
3x = -13/2
x = -13/6

F. 3x + 2 = 2x + 13/3
3x - 2x = 13/3 - 2
x = (13 - 6)/3
x = 7/3

Hope This Helps You!

4 0

3 years ago

HELP PLS!!!!!!!!!!!!!!!!!!!

Rama09 [41]

Domain: {-5, 7}
Range: {-9, 4, 8}

6 0

2 years ago