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AURORKA [14]
3 years ago
10

I have asked so many times and no one will answer. :(

Mathematics
1 answer:
andrew-mc [135]3 years ago
4 0

Answer:

1) \frac{1}{2^7} ; 2) 11^7

Step-by-step explanation:

1) Using the Power of a Fraction Rule (\frac{a}{b} )^x = (\frac{a^x}{b^x} ),

(\frac{1}{2} )^7 = (\frac{1^7}{2^7} ), which can just be simplified to \frac{1}{2^7}.

2) Using the Negative Exponent Rule, a^{-x}  = \frac{1}{a^{x}},

(\frac{1}{11} )^{-7} = \frac{1}{\frac{1}{11^7}}, which can be simplified to 11^7.

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The mean incubation time for a type of fertilized egg kept at 100.2100.2â°f is 2323 days. suppose that the incubation times are
zlopas [31]

To solve this problem, what we have to do is to calculate for the z scores of each condition then find the probability using the standard normal probability tables for z.

The formula for z score is:

z = (x – u) / s

where,

x = sample value

u = sample mean = 23 days

s = standard deviation = 1 day

 

A. P when x < 21 days

z = (21 – 23) / 1

z = -2

Using the table,

P = 0.0228

Therefore there is a 2.28% probability that the hatching period is less than 21 days.

 

B. P when 23 ≥ x ≥ 22

<span>z (x=22) = (22 – 23)  / 1 = -1</span>

P (z=-1) = 0.1587

 

z (x=23) = (23 – 23) / 1 = 0

P (z=0) = 0.5

 

P = 0.5 - 0.1587 = 0.3413

Therefore there is a 34.13% probability that the hatching period is between 22 and 23 days.

 

C. P when x > 25

z = (25 – 23) / 1

z = 2

P = 0.9772

This is not yet the answer since this probability refers to the left of z. Therefore the correct probability is:

P true = 1 – 0.9772

P true = 0.0228

<span>Therefore there is a 2.28% probability that the hatching period is more than 25 days.</span>

8 0
3 years ago
Solve the inequality 12(1/2x-1/3)&gt;8-2x
Setler [38]

Answer:

The answer is

<h2>x >  \frac{3}{2}</h2>

Step-by-step explanation:

<h3>12( \frac{1}{2} x -  \frac{1}{3} ) > 8 - 2x</h3>

<u>Expand the terms in the bracket</u>

That's

<h3>6x - 4 > 8 - 2x</h3>

Move - 2x to the left side of the inequality to make it positive

<h3>6x + 2x - 4 > 8 \\ 8x - 4 > 8</h3>

<u>Add 4 to both sides</u>

That's

<h3>8x - 4 + 4 > 8 + 4 \\ 8x > 12</h3>

<u>Divide both sides by 8</u>

<h3>\frac{8x}{8}  >  \frac{12}{8}</h3>

We have the final answer as

<h3>x >  \frac{3}{2}</h3>

Hope this helps you

6 0
3 years ago
Read 2 more answers
The area of a rectangle is 30 sq meters. The perimeter is 26 feet. What are the dimensions of the rectangle?
Art [367]

Answer:

The given rectangle is not possible.

Step-by-step explanation:

The minimum perimeter of such a rectangle is 4√30 meters, about 21.9 meters. That is about 71.9 feet. The largest rectangle with a perimeter of 26 feet will have an area of about 3.93 square meters.

The rectangle described cannot exist.

7 0
4 years ago
What is the quotient of 3 and 3/5 divided by 2/5?
tensa zangetsu [6.8K]
The quotient of 3 and 3/5 divided by 2/5 is 0.134
3 0
4 years ago
Read 2 more answers
Samuel and Christopher go to the movie theater and purchase refreshments for their friends.
insens350 [35]

Answer:

Drink=5.75

Popcorn=1.83

Percentage for drink=75.9%

Step-by-step explanation

Let the popcorn be p

the drinks be d

6p+4d=34....(1)

12p+7d=66.25...(2)

Multiply (1) by 2

12p+8d=72....(3)

Substrate (2) from (3)

d=5.75

Substitute the value for d into (1)

6p+4(5.75)=34

6p+23=34

Substrate 23 from both sides

6p=11

Divide both sides by 6

p=1.83

So for one drink=$5.75

For one popcorn=$1.83

To determine the% for drink

5.75+1.83=7.58

5.75/7.58 ×100

575/7.58

75.858~75.9%

The percentage for drink is 75.9%

7 0
4 years ago
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