What is the maximum number of cubes with side lengths of 1/2 cm that can fit into a right rectangular prism with base dimensions of 12 1/2 cm by 8 1/2 cm and height of 9 1/2 cm?

Answer:

22.916666666 The six is repeated

Step-by-step explanation:

10/12=8.3333333 and 8.3333333*27.5=22.916666666 repeated

Answer:

About 23

Step-by-step explanation:

Weight x 0.83333 = medication

so, 27.5 x 0.83333 = 22.825 (rounded to 23)

Answer:

0.048 ; 0.03593 ; (14320, 45680) ; 6000

Step-by-step explanation:

Given a normal distribution :

Mean salary (m) = $30000

Standard deviation (s) = $8000

A.) probability of having a starting salary of atleast 30400

P(x ≥ 30400)

Obtain the standardized value (Z) :

Z = (x - m) / s

Z = (30400 - 30000) / 8000

Z = 400 / 8000 = 0.05

P(Z ≥ 0.05) = 0.48006 (Z probability calculator)

b. Individuals with starting salaries of less than $15,600 receive a low income tax break. What percentage of the graduates will receive the tax break?

P(X < 15600)

Obtain the standardized value (Z) :

Z = (x - m) / s

Z = (15600 - 30000) / 8000

Z = - 14400 / 8000 = - 1.8

P(Z < - 1.8) = 0.03593

c. what are the minimum and the maximum starting salaries of the middle 95% of the LU graduates?

Zscore which corresponds to 0.95 is 1.96

Minimum:

-1.96 = (x - 30000) / 8000

-15680 = x - 30000

x = 14320

Maximum :

1.96 = (x - 30000) / 8000

15680 = x - 30000

x = 45680

d. If 303 of the recent graduates have salaries of at least $43,120, how many students graduated this year from this university?

P(X ≥ 43120)

Z = (43120 - 30000) / 8000

Z = 13120 / 8000

Z = 1.64

P(Z ≥ 1.64) = 0.050503

Hence,

0.050503 = 303

1 = x

x = 303 / 0.05050

= 6000

Answer:

3x+y=2

Step-by-step explanation:

Just remember that standard form is expressed as Ax+By=C. I also attached a picture to prove that 3x+y=2 is the standard form equation that makes up the line.

Hope this helps and answers your question :)

Answer: 53.2$

Step-by-step explanation:

5/100 × 56 = 2.8

So, 56.00 $ - 2.8$ = 53.2$

Answer:

Step-by-step explanation:

Given that :

Mean (μ) = 2500

Standard deviation (σ) = 400

P = 97.5% = 0.975

Zscore corresponding to p(z > x) = 0.975

Z = - 1.96 ( Z probability calculator)

Using the relation :

Zscore = (score (x) - μ) / σ

-1.96 = (x - 2500) / 400

x - 2500 = 400 * - 1.96

x - 2500 = - 784

x = - 784 + 2500

x = 1716

Hence, number of flying hours required is 1716

Answer:

b

Step-by-step explanation:

b b b b b b b b b b b b b b b b b b b b  bb b b b b b b b b b b b b b b b b b

yes

Answer:

1.4 U.S. Dollar

Step-by-step explanation:

Answer:

-15

Step-by-step explanation:

() means to multiply

So, -3(5) = -3 x 5 = -15

Answer: -15

The question asks you to find the "product," which means the result of multiplying. Both the word "product" and the parentheses indicate that you have to multiply.

Since it's a negative (-) multiplied by a positive (+), your product will be negative (-).

So, -3(5) = -15.

Answer:

30 toys

Step-by-step explanation:

PLEASE MARK BRAINLIEST

Answer:5/10

Step-by-step explanation:

1/2 x 5 = 5/10

Answer:

I believe the area will double

well the area is affected because it will be double the size that it originally was

area=16×24

Answer:

40 7th Graders

Step-by-step explanation:

First you add all of the students to get 25. Then you divide 100 by 25 to get 4 (this is gonna be your multiplier) now multiply each part of the ration by 4, and you get 60 6th graders and 40 7th graders :D.

Answer: B) -2.24

Step-by-step explanation:

Answer: it’s -2.24

Step-by-step explanation:

Because it’s already in decimal form and since it’s a negative decimals number it is -2.24

Answer:

unit rate is that which compares two unit.

Answer:1/4

Step-by-step explanation:

Answer:

you need 2 cups of water. :)

Step-by-step explanation:

Answer:

x=-21/47

Step-by-step explanation:

Answer:

[tex]x=7[/tex]

Step-by-step explanation:

Step-By-Step on how to solve it is in the attached picture below.

Hope this helps! :)

Answer:

$86.70

Step-by-step explanation:

Answer:  $86.7

Step-by-step explanation: because you have to multiply them

Answer:

$7.25

Step-by-step explanation:

4.95 x 5 = 24.75

32-24.75 = 7.25

Answer:

wednesday i think idk (sorry if wrong)

Step-by-step explanation:

Solution:

We can see that each term when subtracted by 4, gives the next term.

This means that:

Let's substitute the values to check:

Now, we can find the nth term aₙ by using the formula:

To check that the formula is correct, let's substitute the value of nth as the fifth term of the sequence.

Now, let's find the fifth term mentally. Keep subtracting 4 until you reach the fifth term.

We are getting the same result from both ways.

In conclusion, our formula to find the nth term is "18 - 4(nth term) + 4(1)".

Answer:

A) Dimensions;

Length = 20 m and width = 10 m

B) A_max = 200 m²

Step-by-step explanation:

Let x and y represent width and length respectively.

He has 40 metres to use and he wants to enclose 3 sides.

Thus;

2x + y = 40 - - - - (eq 1)

Area of a rectangle = length x width

Thus;

A = xy - - - (eq 2)

From equation 1;

Y = 40 - 2x

Plugging this for y in eq 2;

A = x(40 - 2x)

A = 40x - 2x²

The parabola opens downwards and so the x-value of the maximum point is;

x = -b/2a

Thus;

x = -40/2(-2)

x = 10 m

Put 10 for x in eq 1 to get;

2(10) + y = 40

20 + y = 40

y = 40 - 20

y = 20m

Thus, maximum area is;

A_max = 10 × 20

A_max = 200 m²

The area of the pen is the product of its dimensions

The largest area the farmer can enclose is 200 square meters

The perimeter of the pen is given as:

[tex]\mathbf{P = 40}[/tex]

Because one side of the fence is covered by a river, the perimeter would be:

[tex]\mathbf{2x + y = 40}[/tex]

Make y the subject

[tex]\mathbf{y = 40 - 2x}[/tex]

The area of the pen is:

[tex]\mathbf{A = xy}[/tex]

Substitute [tex]\mathbf{y = 40 - 2x}[/tex]

[tex]\mathbf{A = x(40 - 2x)}[/tex]

Expand

[tex]\mathbf{A = 40x - 2x^2}[/tex]

Differentiate

[tex]\mathbf{A' = 40 - 4x}[/tex]

Set to 0

[tex]\mathbf{ 40 - 4x = 0}[/tex]

Rewrite as:

[tex]\mathbf{ 4x = 40}[/tex]

Divide through by 4

[tex]\mathbf{x = 10}[/tex]

Substitute 10 for x in [tex]\mathbf{A = x(40 - 2x)}[/tex]

[tex]\mathbf{A = 10 \times (40 - 2(10))}[/tex]

[tex]\mathbf{A = 200}[/tex]

Hence, the largest area the farmer can enclose is 200 square meters

Read more about maximum areas at:

https://brainly.com/question/11906003

Answer:

15.30

Step-by-step explanation:

use code tiko

Answer:

ayo what

Step-by-step explanation:

Answer:

Take the square root of 3 then raise it to the 15 th power, i.e. (√3)15. Raise 3 to the 15 th power then take the square root, i.e. √315.

Answer:

D

Step-by-step explanation:

3^7 square root of 3

Answer:

68%

Step-by-step explanation:

We start by calculating the z-scores of both

z-score = (x-mean)/SD

for 2.21

z-score = (2.21-2.61)/0.4 = -1

For 3.01

z-score = (3.01-2.61)/0.4 = 0.4/0.4 = 1

So what we want to find is the percentage between -1 SD and 1 SD of the mean

This is the percentage corresponding to the probability

P(-1 < x < 1)

According to the empirical rule, this is a value of;

68.269%

Answer:

No, 60 is the third interior angle's mesure, not the exterior ∠3.

Step-by-step explanation:

Say that ∠1=∠A=50 and ∠2=∠B=70. The remote interior angles are the angles that are not touvhing the exterior angle. So ∠3 would be the the exterior angle to ∠C. ∠C=60 as the sum of the interior angles is 180.

The exterior angle is the angle formed by extending one of the triangle's sides. A straight line has the angle 180,  so∠3=180-∠C=180-60=120.