6 times 1/5 less than 1 , equal to 1, or greater than 1?

patriot [66]

Answer:

Surface Area varies by object/shape.

Ask your teacher/learning helper for those formulas of surface area

Step-by-step explanation:

Surface area is the sum of all faces (or surfaces) on a 3D shape. A cuboid has 6 rectangular faces. To find the surface area of a cuboid, add the areas of all 6 faces. We can also label the length (l), width (w), and height (h) of the prism and use the formula, SA=2lw+2lh+2hw, to find the surface area.

4 0

2 years ago

Solve for w: -4(w+1)=-24 Please explain this like you would a 2 year old and please explain it so it is the easiest way to solve

Andrews [41]

Answer:

Step-by-step explanation:

The first step in solving an equation is to look at it. Identify where the variable is that you're interested in, and see what operations are being performed on that variable.

Here, the variable w has 1 added to it, and the sum is multiplied by -4. The variable is only on the left side of the equation, and is inside parentheses. Inside parentheses, the coefficient of the variable is 1.

These observations tell you that, in some order, you will need to undo the operations of multiplication and addition, and you will have to eliminate parentheses.

You also observe that the multiplication factor of the parentheses (-4) is a factor of the constant on the right side of the equation (-24). This means you have a couple of options for solving this equation:

eliminate parentheses first, using the distributive property
divide by -4 first, to undo the multiplication

The second method is actually faster. We'll illustrate that one first.

__

Divide both sides of the equation by -4 to undo the multiplication by -4.

-4(w +1)/(-4) = -24/(-4) . . . . . we have indicated the division we want to do

w +1 = 6 . . . . . . . . . . . . . . . . here is the result of that division

Now, we can add the opposite of +1 to eliminate the constant from the left side. As with all operations on equations, we must do the same thing to both sides. This means we add -1 to both sides of the equation:

w +1 -1 = 6 -1 . . . . . . we have indicated the addition we want to do

w = 5 . . . . . . . . . . . here is the result of that addition

The solution of the equation is ...

w = 5

__

Often, when parentheses are involved, the numbers are such that the solution method is not as simple as what we just did. In those cases, you would take the approach of eliminating parentheses first. For this equation, it looks like this:

-4(w +1) = -24 . . . . . . . given

-4w -4 = -24 . . . . . . . . use the distributive property to eliminate parentheses

We want the variable term by itself, so we need to eliminate the constant -4 that is added on the left. To do that, we add its opposite. This means we add +4 to both sides of the equation.

-4w -4 +4 = -24 +4 . . . . . . indicating the addition of +4

-4w = -20 . . . . . . . . . . . . . the result of adding +4

Here, w is multiplied by -4. We want w by itself, so we want to undo that multiplication. That means we want to divide both sides of the equation by -4.

-4w/(-4) = -20/(-4) . . . . . . indicate the division

w = 5 . . . . . . . . . . . . . . . . the result of doing the division

The solution of the equation is ...

w = 5

_____

Our basic approach is to undo the operations done to the variable, in the reverse of the order in which they are done. In that process, we observe the rules of equality: whatever operation you do to one side of the equation must also be done to the other side. (My teacher called this last rule: "keep the equal sign sacred.")

You can always use the distributive property for factoring, collecting terms, or eliminating parentheses.

3 0

2 years ago

Nine less than the quotient of twice a number and four.

Leno4ka [110]

Answer:

-1

Step-by-step explanation:

Twice a number of 4 equals 8

4×2=8

less than 9 of the quotient (answer) of twice a number of 4, is -1

8-9= -1

4 0

2 years ago

Make w the subject of the formula p = 2w+7 divided by 12

Reptile [31]

Answer:

w = (12p - 7) / 2

Step-by-step explanation:

p = (2w + 7) / 12

12p = 2w + 7

2w = 12p - 7

w = (12p - 7) / 2

4 0

2 years ago

In microbiology, colony-forming units (CFUs) are used to measure the number of microorganisms present in a sample. To determine

zimovet [89]

Answer:

(a) 0.2650

(b) 0.0111

(c) 0.0105

(d) 0.0006

Step-by-step explanation:

Given that:

In microbiology, colony-forming units (CFUs) are used to measure the number of microorganisms present in a sample.

Suppose that the number of CFUs that appear after incubation follows a Poisson distribution with mean μ = 15. &;

If the area of the agar plate is 75cm²;

what is the probability of observing fewer than 4 CFUs in a 25 cm² area of the plate.

We can determine the mean number of CFUs that appear on a 25cm² area of the plate as follows;

75cm²/25cm² = 3

Since;

mean μ = 15

mean number of CFUs that appear on a 25cm² = 15/3 = 5 CFUs

Thus ; the probability of observing fewer than 4 CFUs in a 25 cm² area of the plate is estimated as:

= P(X < 4)

Using the EXCEL FUNCTION ( = poisson.dist(3, 5, TRUE) )

we have ;

P(X < 4) = 0.2650

b) If you were to count the total number of CFUs in 5 plates, what is the probability you would observe more than 95 CFUs?

Given that the total number of CFUs = 5 plates; then the mean number of CFUs in 5 plates = 15×5 = 75 CFUs

The probability is therefore = P( X > 95 )

= 1 - P(X ≤ 95)

= 1 - poisson.dist(95,75,TRUE) ( by using the excel function)

= 0.0111

c) Repeat the probability calculation in part (b) but now use the normal approximation.

Let assume that the mean and the variance of the poisson distribution are equal

Then;

$X \sim N (\mu = 75 , \sigma^2 = 75)$

We are to repeated the probability calculation in part (b) from above;

So:

P( X > 95 )

use the normal approximation

From standard normal variable table:

P(Z > 2.3094)

Using normal table

P(Z > 2.3094) = 0.0105

(d) Find the difference between this value and your answer in part (b).

So;

the difference between the value in part c and part b is;

= 0.0111 - 0.0105

$= 6*10^{-4}$

= 0.0006 to four decimal places

5 0

3 years ago