How many cubes with side length of 4cm can be packed into a wooden box measuring 32cm by 16cm by 8cm
PLEASE HELP Me!!

Answer:

0.1764

Step-by-step explanation:

This problem meets requirement that enables us to use the binomial probability relation :

Probability of success, p = 17% = 0.17

number of trials = 9

(1 - p) = 1 - 0.17 = 0.83

The binomial probability relation :

P(x = x) = nCx * p^x * (1 - p)^(n-x)

P(x = 3) = 9C3 * 0.17^3 * 0.83^6

P(x = 3) = 84 * 0.001606258054361897

P(x = 3) = 0.134925676566399348

P(x = 3) = 0.13492

P(x = 4) = 9C4 * 0.17^4 * 0.83^5

P(x = 4) = 126 * 0.000328992613544003

P(x = 4) = 0.041453069306544378

P(x = 4) = 0.04145

P(x = 3 or x = 4) = P(x = 3) + p(x = 4)

= 0.13492 + 0.04145

= 0.17637

= 0.1764

Answer:

the answer is b well i dont know i cant see any thing

Step-by-step explanation:

Answer:

a

Step-by-step explanation:

Answer:

20000

Step-by-step explanation:

10 * 10       =     100

100 / 5      =     20

20 * 1000 =     2000

Answer:

412.92

Step-by-step explanation:

\(A = P(1+\frac{r}{n} )^{nt}\)

A: Amount, P: Principal, r: interest, n: no.of times compounded yearly and t: time in years

We have P = 300

r = 4% = 0.04

n = 12 (compounded monthly)

t = 8

\(A = 300(1+\frac{0.04}{12} )^{12*8}\\\\300(\frac{12.04}{12} )^{96}\\\\= 412.92\)

Answer:

Option 1

Step-by-step explanation:

Amy takes a train at an elevation of -14 feet. Zack takes a bus at an elevation 14 feet higher than Amy's train.

-14 + 14 = 0

Answer:

Question 1)

Step-by-step explanation:

Average elevation the bus travel at =  - 14 + 14 = 0

Answer:

$2.56

Step-by-step explanation:

80x3 = 240

80x.2=16

240+12=256

$2.56

Answer:

the product of twice is 6

In the given expression, "2" represents that each new year the profits double with respect to the previous year. So the correct answer is D) that each new year the profits double with respect to the previous year.

In the given expression, the variable "t" represents the number of years that have passed since the initial investment was made. The expression 1,000,000 × 2t calculates the profit obtained after "t" years.

Therefore, the correct answer is D) that each new year the profits double with respect to the previous year.

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The profit obtained after t years of

have made an initial investment of

$1,000,000 is given by the expression:

1,000,000 × 2t

What does the number 2 represent in the

previous expression?

A) the profits obtained in the second year

B) the profits obtained in the last year

C) that every new year the profits are cut in half

D) that each new year the profits double with respect to the previous year

Mis disculpas por la respuesta anterior, cometí un error en la explicación. La respuesta correcta es la opción D. La expresión 1.000.000 × 2t indica que cada nuevo año las ganancias se duplican con respecto al año anterior.

                                                                                     En la expresión, el número 2 indica que las ganancias se duplican cada año con respecto al año anterior. La expresión 1.000.000 × 2t significa que la inversión inicial de un millón de dólares se multiplica por 2 elevado a la potencia de t, donde t es el número de años que han pasado.Cuando t=1, se refiere al primer año después de la inversión, y la ganancia sería 1.000.000 dividido por 2=1, es decir, dos millones. Esto significa que las ganancias del segundo año (opción A) serían de 2.000.000 de dólares.En general, las ganancias del año anterior se duplican cada año subsiguiente. Por lo tanto, la D es la opción correcta porque significa que las ganancias se duplican cada año con respecto al año anterior.

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Answer:

D. 6 is 9 less then 15

Step-by-step explanation:

its the only true statement.

Answer:

,,,,,,,,,,,,,, mmmmm mm m m m

Step-by-step explanation:

 m mm m m m mm m

The tοtal amοunt earned, including cοmmissiοn and base pay, is $63.50, rοunded tο the nearest hundredth.

Tο answer this questiοn, we need tο knοw the cοmmissiοn rate fοr the lοbster raviοli and k salads. Let's assume the cοmmissiοn rate is 10% fοr bοth items.

If the lοbster raviοli cοst $15 each and the steak salads cοst $12 each, then the tοtal cοmmissiοn earned wοuld be:

3 x $15 x 0.10 + 5 x $12 x 0.10 = $13.50

Therefοre, the cοmmissiοn earned is $13.50.

Tο find the tοtal amοunt earned, including cοmmissiοn and base pay, we simply add the cοmmissiοn earned tο the base pay:

$50 + $13.50 = $63.50

Therefοre, the tοtal amοunt earned, including cοmmissiοn and base pay, is $63.50, rοunded tο the nearest hundredth.

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Answer:it might be A

Given:

Two minor league baseball players got a total of 350 hits

Washington had 14 more hits than Sanchez

Let the number of hits of Washington = x

Let the number of hits of Sanchez = y

So, we have the following system of equations:

Answer:

a) The half life of the substance is 22.76 years.

b) 5.34 years for the sample to decay to 85% of its original amount

Step-by-step explanation:

The amount of the radioactive substance after t years is modeled by the following equation:

\(P(t) = P(0)(1-r)^{t}\)

In which P(0) is the initial amount and r is the decay rate.

A sample of a radioactive substance decayed to 97% of its original amount after a year.

This means that:

\(P(1) = 0.97P(0)\)

Then

\(P(t) = P(0)(1-r)^{t}\)

\(0.97P(0) = P(0)(1-r)^{0}\)

\(1 - r = 0.97\)

So

\(P(t) = P(0)(0.97t)^{t}\)

(a) What is the half-life of the substance?

This is t for which P(t) = 0.5P(0). So

\(P(t) = P(0)(0.97t)^{t}\)

\(0.5P(0) = P(0)(0.97t)^{t}\)

\((0.97)^{t} = 0.5\)

\(\log{(0.97)^{t}} = \log{0.5}\)

\(t\log{0.97} = \log{0.5}\)

\(t = \frac{\log{0.5}}{\log{0.97}}\)

\(t = 22.76\)

The half life of the substance is 22.76 years.

(b) How long would it take the sample to decay to 85% of its original amount?

This is t for which P(t) = 0.85P(0). So

\(P(t) = P(0)(0.97t)^{t}\)

\(0.85P(0) = P(0)(0.97t)^{t}\)

\((0.97)^{t} = 0.85\)

\(\log{(0.97)^{t}} = \log{0.85}\)

\(t\log{0.97} = \log{0.85}\)

\(t = \frac{\log{0.85}}{\log{0.97}}\)

\(t = 5.34\)

5.34 years for the sample to decay to 85% of its original amount

The half life of the substance is 22.76 years

Half life is given by:

\(N(t)=N_o(\frac{1}{2} )^\frac{t}{t_\frac{1}{2} } \\\\Where\ N(t)\ is \ the \ value\ of\ the\ substance\ after\ t\ years,N_o\ is\ the\\original\ value\ and\ t_\frac{1}{2} \ is\ the\ half\ life\)

Given that t = 1 years, N(t) = 97% of normal amount = 0.97N₀. Hence:

a)

\(0.97N_o=N_o(\frac{1}{2} )^\frac{1}{t_\frac{1}{2} } \\\\0.97=(\frac{1}{2} )^\frac{1}{t_\frac{1}{2} }\\\\ln(0.97)=\frac{1}{t_\frac{1}{2} }ln(0.5)\\\\t_\frac{1}{2} =22.76\ years\)

b)

\(0.85N_o=N_o(\frac{1}{2} )^\frac{t}{22.76} \\\\0.85=(\frac{1}{2} )^\frac{t}{22.76}\\\\ln(0.85)=\frac{t}{22.76}ln(0.5)\\\\t=5.3\ years\)

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Answer:

y=2

Step-by-step explanation:

Answer:

4

Step-by-step explanation:

The given data is :

8, 10, 12,14,16,18,20

We need to find the standard deviation. Here,

Count = 7

Sum, Σx: 98

Mean, μ: 14

The standard deviation is given by :

\(\sigma=\sqrt{\dfrac{1}{N}\Sigma(x_i-\mu)^2}\)

or

\(\sigma^2=\dfrac{1}{N}\Sigma(x_i-\mu)^2\\\\=\dfrac{(8-14)^2+...+(20-14)^2}{7}\\\\=\dfrac{112}{7}\\\\\sigma^2=16\\\\\sigma=4\)

So, the standard deviation of the given data is 4.

If  i just graduated from school with $25,000 worth of debt. The monthly payment if you were able to finance it over 7 years at 6% is: $359.44.

Using the loan payment formula to find the monthly payment

Payment = Loan Amount× (Interest Rate / 12) / (1 - (1 + (Interest Rate / 12))^- (Number of Payments))

Plugging in the values:

Payment = $25,000× (0.06 / 12) / (1 - (1 + (0.06 / 12))^- (12 × 7))

Payment = $359.44

Therefore the monthly payment is $359.44.

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Answer:

No, not right or a triangle lol

Step-by-step explanation:

This is not a triangle.

5+6=11, it has to be greater :)

your triangle is a straight line.

:]

The probability that both M&Ms are green is 29% and the probability that John eats a red M&M then a green M&M is 25%

Here, we have

Red = 27

Green = 32

This means that

Total = 27 + 32

Total = 59

So, we have

P(Both green) = 32/59 * 31/58

Evaluate

P(Both green) = 29%

Here, we have

Red = 27

Green = 32

This means that

Total = 27 + 32

Total = 59

So, we have

P(Red and green) = 27/59 * 32/58

Evaluate

P(Red and green) = 25%

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Answer: y = 4.5

scale factor = 4/3

Answer:

  13.636

Step-by-step explanation:

The area can be found using Heron's formula:

  A = √(s(s-a)(s-b)(s-c))

where s=(a+b+c)/2.

For the given triangle, ...

  a=9, b=4, c=12, s=(9+4+12)/2 = 12.5

  A = √(12.5(3.5)(8.5)(0.5)) = √185.9375 ≈ 13.636

The area of the triangle is about 13.636 square units.

Answer:

24 units\

Step-by-step explanation:

If we have the expression:

If we apply the commutative property, we have:

The order of the factors in a product does not affect the result.

Answer: b*6 = 6*b

Answer:

y=14000x

Step-by-step explanation:

x represents years after 2020 and y is the number of miles

The required equation for the distance travelled versus number of years after 2020 is given as y = 14000x + 56000.

To represent a straight line on a graph consider two points namely x and y intercepts of the line. To find x-intercept put y = 0 and for y-intercept put x = 0. Then draw a line passing through these two points.

The given problem can be solved as follows,

Suppose the year 2020 represents x = 0.

The distance travelled per year can be taken as the slope of the linear  equation.

This implies that slope = 14000.

And, the distance travelled by January 1, 2020 is 56000.

It implies that for x = 0, y = 56000.

The slope-point form of a linear equation is given as y = mx + c.

Substitute the corresponding values in the above equation to obtain,

y = 14000x + c

At x = 0, y = 56000

=> 56000 = 14000 × 0 + c

=> c = 56000

Now, the equation can be written as,

y = 14000x + 56000

Hence, the required equation for number of miles and years for the car is given as y = 14000x + 56000.

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Given:

The expression is:

\(2.74x-7.9\)

To find:

The expressions that can be set equal to the given expression to form an equation that has no solution.

Solution:

We have,

\(2.74x-7.9\)                     ...(i)

An expression whose constant term is different from the given expression but the variable term is same as the given expression, i.e., 2.74, is the required expression.

The expression with same variable term and different constant term is:

\(2.74x+7.9\)                    ...(ii)

Because on equating (i) and (ii), we get

\(2.74x-7.9=2.74x+7.9\)

\(-7.9=7.9\)

This statement is false for any value of x. So, the equation \(2.74x-7.9=2.74x+7.9\) has no solution.

Therefore, the correct option is C.

Answer:

$29.90

Step-by-step explanation:

Can you only buy paint by the gallon?  That is what I am thinking.  

She is painting 4 walls.  I am thinking that she is not painting the floor or the ceiling.

The area of the four walls would be:

(11.6 x 10) = 116

(11.6 x 10) = 116

10.6 x 10) = 106

(10.6 x 10) = 106

This totals 444 square feet.  Since a gallon can only paint 400 square feet, she will need to buy 2 gallons for 29.90