Find the product of 1/8 and 5/6 . Express your answer in simplest form.

Answer:

The percentage is  [tex]p = 4.55\%[/tex]

Step-by-step explanation:

From the question we are told that

 The mean is [tex]\mu = 12.1 \ ounce[/tex]

  The standard deviation is  [tex]\sigma = 0.05 \ ounce[/tex]

    The value of soda each can claims to have is  [tex]X = 12 \ ounce[/tex]

Generally the z-score is mathematically represented  as

         [tex]z = \frac{ X- \mu }{\sigma }[/tex]

=>      [tex]z = \frac{ 12-12.1 }{0.05}[/tex]

=>      [tex]z = -2[/tex]

From the z table the area under the normal  curve representing the proportion of under filled cans is

      [tex]P(x <-2 \ or\ x > 2)= 0.0455[/tex]

Converting to  percentage

       [tex]p = 0.0455 *100[/tex]

=>    [tex]p = 4.55\%[/tex]

Answer:

2+

Step-by-step explanation:

Answer:

The probability is 0.9545

Step-by-step explanation:

To find this probability, we shall use the z-score formula

Mathematically;

z-score = (x - mean)/SD/√n

where mean = 20

SD = 5

n = 100 and so √100 = 10

So for 19, we have ;

(19-20)/5/10 = 1/0.5 = -2

For 21, we have

(21-20)/5/10 = 1/0.5 = 2

So the probability we want to calculate is

P( -2 < z < 2)

we can use the standard normal distribution table for this

Using this table;

P(-2<z<2) = 0.9545

Answer:

A.1

Step-by-step explanation:

Apply exponent rule [tex](3^{7}) ^1(11^{5} *7^{3} )^{5}[/tex]

[tex]=55240493^{5}(3^{7})^{1}[/tex]

Apply rule a^1=a = [tex]3^{7} *55240493^{5}[/tex]

[tex]=55240493^{5}*2187[/tex]

= 1.2496......E42

Answer:

the dimensions that will minimize the cost are; 25.2 ft × 25.2 ft × 12.6 ft

Step-by-step explanation:

If the length, width and height of the building are represented by a, b and c, then we have:

Volume = abc

We are given volume as 8000 ft³. Thus;

abc = 8000

Top area = ab

Front area = ac

Back area = ac

End walls area = bc

We are told that cooling costs will amount to $2/ft² for its top, front, and back, and $4/ft² for the two end walls.

Thus, cooling cost equation is;

X = 2(ab) + 2(ac) + 2(ac) + 4bc + 4bc

X = 2ab + 4ac + 4bc

Now, from the volume equation where abc = 8000.

c = 8000/ab

Thus;

X = 2ab + 4a(8000/ab) + 4b(8000/ab)

X = 2ab + 32000/b + 32000/a

To minimize, we will find the a and b derivative and set the equation to zero in both cases.

Thus;

dX/da = 2b - 32000/a² = 0

2b = 32000/a² - - - eq(1)

Also;

dX/db = 2a - 32000/b² = 0

2a = 32000/b² - - - (eq 2)

Making a the subject in eq 2 gives;

a = 32000/2b²

a = 16000/b²

Putting 16000/b² for a in eq (1) gives;

2b = 32000/(16000/b²)²

2b = 32000b⁴/256000000

2b = b⁴/8000

Multiply both sides by 8000 to get;

2b × 8000 = b⁴

16000b = b⁴

Divide both sides by b to get;

16000 = b³

b ≈ 25.2 ft

Putting 25.2 for b in a = 16000/b², we have;

a = 16000/25.2²

a ≈ 25.2

Putting a and b = 25.2 in the volume equation, we have;

25.2 × 25.2 × c = 8000

c = 8000/(25.2 × 25.2)

c = 12.6 ft

Thus, the dimensions that will minimize the cost are; 25.2 ft × 25.2 ft × 12.6 ft

Answer && Step-by-step explanation:

f o g x

== f(g(x))

plug g(x) into x variables

f(x)=2x+1 , g(x)=x+14

2(x+14)+1

2x+28+1

==2x+29

b is the answer

Answer:

I think it might be b

Step-by-step explanation:

sorry if its wrong

Answer: 20 dollars per ticket

Step-by-step explanation:

Divide the number 480 by 24.

480 ÷ 24 = 20

The answer is 20. Hope this helps!

Step-by-step explanation:

If 24 tickets cost $480 the cost of 1 is:

Let the unit be u

480 ÷ 24= u

[tex] \frac{480}{24} = u[/tex]

[tex]20 = u[/tex]

[tex]u = 20[/tex]

Hope this helps....

Hence the unit = 20

Answer:

quotient less than the dividend​

Step-by-step explanation:

In this equation:

Dividend = 3/5

Divisor = 3 and

Quotient = 1/5

The question asks you to compare 3/5 to 1/5 and 3/5 is larger therefore the quotient less than the dividend​.

Answer:

eight hours long to operate

Answer:

5 cups

Step-by-step explanation:

Answer:

0.12

Step-by-step explanation:

This is the answer because:

1) First, rewrite the expression including the x value

1.2(0.1)

2) Next, we know 1.2 x 1 is 1.2, but since we have one decimal point in 0.1, we have to move the decimal point in 1.2 once to the left. This will make the answer 0.12

Hope this helps! :D

Answer:

The sum of the integers less than 100 that have both 6 and 9 as divisors is 270

Step-by-step explanation:

To determine the integers less than 100 that have both 6 and 9 as divisors,

First, we will list the multiples of 6 and 9 that are less than 100, and the common multiples will give the integers less than 100 that have both 6 and 9 as divisors.

Multiples of 6 less than 100 are:

6, 12, 18, 24, 30, 36, 42, 48, 54, 60, 66, 72, 78, 84, 90, and 96.

Multiples of 9 less than 100 are:

9, 18, 27, 36, 45, 54, 63, 72, 81, 90, and 99.

Hence, the integers less than 100 that have both 6 and 9 as divisors are 18, 36, 54, 72 and 90.

Then, the sum of the integers less than 100 that have both 6 and 9 as divisors is

18 + 36 + 54 + 72 + 90 = 270

Hence, the sum of the integers less than 100 that have both 6 and 9 as divisors is 270.

Answer:

Step-by-step explanation:

Isolate the variable by dividing each side by factors that don't contain the variable.

x

=

3

V

Answer:

Vx = 3

Step-by-step explanation:

The answer below is because you move all terms not containing Vx to the right side of the equation.

Answer:

The answer that would best complete the given statement above would be option B.

The requried, there are 240 possible ways the race can finish with a mouse placing first, second, and third.

To find the number of ways the race can finish with a mouse placing first, second, and third, we can use the concept of permutations.

Since the mouse is guaranteed to finish first, there are 5 mice to choose from for the first position.

Once the first place is determined, there are 4 mice left for the second position.

After the first two positions are filled, there are 3 mice left for the third position.

Now, we need to determine the order of the cats. There are 4 cats to choose from for the fourth position.

The total number of ways the race can finish with a mouse placing first, second, and third is given by the product of these choices:

Number of ways = 5 (for first place) * 4 (for second place) * 3 (for third place) * 4 (for fourth place)

Number of ways = 5 * 4 * 3 * 4

Number of ways = 240

There are 240 possible ways the race can finish with a mouse placing first, second, and third.

Learn more about permutation here:

https://brainly.com/question/33149025

#SPJ12

Answer:

219.375 miles

Step-by-step explanation:

1 hour the train can go for 67.5 miles

so multiply the 67.5 with 3.25 and then you will get 219.375

Answer:

given below

Step-by-step explanation:

1. Equipment is credited and cash is debited.

2. Notes receivable is credited and cash is debited

3. Loan Payable is debited and cash account is credited

4.Office furnishings are debited and cash is credited.

5. Insurance in premium is debited and  cash is credited.

Summary

1) addition to an asset account is a debit

2) subtraction from an asset account is a credit

3) addition to a liability account is a credit

4) subtraction from a liability account is a debit

5) Bank account is credited when cash is added to it and debited when cash is withdrawn from it

Normal Balance             Effect in the Account       Debit        Credit

1) Equipment  350,000.00   decrease in asset  Cash         Equipment

2. Notes Recievable                                          Cash            N/R

3. Loans Payable    Dec. Accounts /Rec      Loans Payable    Cash

4. Office furnishings  35,000.00                   Office furnishings     Cash

5. Insurance in premium  (+aasets)          Insurance in premium  Cash

2. There was increase in cash and decrease in notes receivable.

Answer:

x=2

Step-by-step explanation:

Answer:

n = 10

p = 0.56

Step-by-step explanation:

Answer:

[tex]7.56\times 10^7\ \text{beats}[/tex]

Step-by-step explanation:

It is given that,

A person has an average heart rate of 72.0 beats/min.

We need to find how many beats does he or she have in 2.0 years, t = 2 Y

Converting years to min.

[tex]t=2\text{year}\times \dfrac{365\ \text{days}}{\text{year}}\times 24\dfrac{h}{\text{day}}\times \dfrac{60\text{min}}{\text{hour}}\\\\t=1051200\ \text{min}[/tex]

So, no of beats in 2 years is given by :

[tex]b=72\ \text{beats/min}\times 1051200\ \text{min}\\\\b=7.56\times 10^7\ \text{beats}[/tex]

Hence, the required answer is [tex]7.56\times 10^7\ \text{beats}[/tex].

Answer:

0.4532

Step-by-step explanation:

Given the question :

Find the percentage of area under a normal curve between the mean and the given number of standard deviations from the mean.1.68

Number of standard deviations from the mean = 1.68

I. 68 standard deviations below the mean :

Mean = 0(normal distribution)

P(Z < 0) = 0.5

1.68 standard deviations above the mean = + 1.68

P(Z < 1.68) = 0.95352

P(0 < x < Z) = (0.95352 - 0.5) = 0.4532

Answer:

3x^2y

Step-by-step explanation:

May i please have brainliest :)

Answer:

86 beehives, Hope I helped!

Step-by-step explanation:

I'm to lazy :P

Answer:

Number of 13 cents stamp = 14

Number of 29 cents stamp = 24

Number of 45 cents stamp = 16

Step-by-step explanation:

We are told he has 54 stamps in total.

These stamps are;13 cent, 29 cent, and 45 cent stamps.

Let's call number of 13 cent($0.13) stamp A

Call number of 29 cent($0.29) stamp B

Call number of 45 cent($0.45) stamp C

Thus;

A + B + C = 54

We are told the total value of the 3 stamps are $15.98.

Thus;

0.13A + 0.29B + 0.45C = $15.98 - - - (eq2)

Now we are told that if the number of 13 cent stamps is doubled, the new total value of his stamp collection would be $17.80.

Thus;

2(0.13A) + 0.29B + 0.45C = 17.8

0.26A + 0.29B + 0.45C = 17.8 - - - (eq 3)

Solving the 3 equations simultaneously, we have;

A = 14

B = 24

C = 16

We have;

Number of 13 cents stamp = 14

Number of 29 cents stamp = 24

Number of 45 cents stamp = 16

Answer:

59

Step-by-step explanation:

2b^3+5 when b=3

Plug in the value of b

2*3^3+5 = 2*27+5 = 54+5 = 59