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3 years ago

HELP PLEASE! What is the slope of the line shown?

Mathematics

1 answer:

Alja [10]3 years ago

7 0

Answer:

A. -4/11

Step-by-step explanation:

Slope formula: $\frac{y^2 - y^1}{x^2 - x^1 }$

Using the two points substitute the coordinates into this formula

6-2 = 4

4 - 7 = -11

Put 4 over -11 because it is the y value

$-\frac{4}{11}$

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Serena's shoe is more than one yard long

sp2606 [1]

There is no way her shoe is that long

7 0

3 years ago

Read 2 more answers

What is the surface area of the figure shown? (use 3.14 for pi)

SpyIntel [72]

This is a combination of the formula of several figures.

The first one is the bottom of the cylinder AKA a circle.
The second one is the cylinder - the bottom and the top.
The third one is a cone without a bottom.

The first one can be written like this: r^2*3.14 where r is the radius of the circle
The second one is written like this: 2*3.14*r*h where r is the radius, and h the height
The third one is written like this: l*r*3.14

After this you just have to input the values.
bottom cylinder Cone (Use calculator if possible)
(3^2*3.14)+(2*3.14*3*5)+(6*3*3.14)=
28.26 + 94.2 + 56.52 = 178.98 in^2

The correct answer is 178.98 in^2.
Youre welcome.

EXTRA:

If youre wondering how to find the different formulas, you can search for the full formula, then remove the parts you do not need, by matching them with the formula of the part you want to remove.

Example:
Cylinder:
SA = 2(pi r 2) + (2 pi r)* h
In this case, i didnt need the top and bottom, then i look for the formula of a circle.
Circle SA = pi r^2

Is this anywhere in the cylinder? Yes! The first part.
Then we are left with:
2 + (2 pi r)*h
But that 2 looks strangely placed, and with some reason, one quickly understands that it means "top AND bottom", but since we removed the circle surface, we have to remove that part too.
So the final result of the formula is:
2 pi r h

4 0

4 years ago

Can someone help me with these pls

Troyanec [42]

Answer:

subtract the area of the rectangle from the area of the triangle

5 0

2 years ago

This one is confusing to me

crimeas [40]

(6,9) that is the answer on the graph

5 0

3 years ago

1. A company has a cash portfolio measured in millions. The drift is 0.1 per month, variance is 0.16per month. The initial cash

Romashka-Z-Leto [24]

Answer:

Step-by-step explanation:

From the information given:

The probability distribution at the end of 6 months is determined as follows:

After 6 months;

Mean of probability distribution = value of Initial cash + $\alpha$ T

=2.0 +(0.1 × 6)

=2.6

After 6 months;

The probability distribution's standard deviation is estimated by using the following formula:

Standard deviation:

$= b\sqrt{T}$

$= 0.4 \times \sqrt{6}$

= 0.9798

Hence, after 6 months;

The company's cash position is supposed to be allocated monthly, with the following expenses.

Mean 2.6

Standard deviation 0.9798

Variance 0.96

After 12 months, the probability distribution is as follows:

Mean = value of Initial cash + $\alpha$ T

= 2.0 +(0.1 × 12)

= 3.2

The standard deviation is:

The standard deviation of probability distribution = $b \sqrt{T}$

$= 0.4 \times \sqrt{12}$

= 1.3856

Hence, after 6 months;

The company's cash position is supposed to be allocated monthly, with the following expenses.

Mean 3.2

Sandard deviation 1.3856

Variance 1.92

in 6-month distribution, the probability of the negative value of the cash position is as follows.

Now, for us to find the negative cash distribution;

We need to estimate the z -scores value.

The z-score inform us greatly on the concept of how far a particular data point is from the mean.

For a normal distribution;

$z = \dfrac{x-\mu}{\sigma}$

Here;

the value of x = zero as a result that if it exceeds zero. the cash position will be negative.

∴

$z = \dfrac{x-\mu}{\sigma}$

$z = \dfrac{0 - 2.6}{0.9798}$

$z = -2.6536$

Using the standard distribution tables, it is now possible to calculate that the likelihood N(-2.65) equals 0.004 or 0.4 percent.

As a result, there's a 0.4 percent chance of getting a negative cash balance after six months.

For 12 months distribution:

The Probability of negative cash position is calculated as follows:

$z = \dfrac{x-\mu}{\sigma} \\ \\ z = \dfrac{0-3.2}{1.3856} \\ \\ z = -2.3094$

Using the standard distribution tables,

N(-2.31) equals 0.0104 or 1.04 percent.

As a result, there's a 1.04 percent chance of getting a negative cash balance after 1 year

c) To determine the time period over which the likelihood of achieving a negative cash condition is highest, it's necessary to examine the z-score more closely. Essentially, the z-score measures the difference between a given value(x) and the mean of all potential values $(\mu)$ , expressed in terms of the total set's standard deviation $(\sigma)$

This suggests that the higher the z-score, the greater the difference occurring between x and $\mu$ , and thus the likelihood of receiving x is minimal. As a result, the best chance of finding a certain value is when the z-score is the lowest.

To do so, calculate the derivative of the z-score in relation to the time interval. The point where the derivative is equivalent to zero is where the z-scores are at their lowest.

The first step is to go over the z-score formula in more detail, as seen below.;

$z = \dfrac{x-\mu}{\sigma} \\ \\ z = \dfrac{0-(initial \ value + \alpha T)}{b \sqrt{T}} \\ \\ z = \dfrac{-initial \ value }{b\sqrt{T}}-\dfrac{a \sqrt{T}}{b} \\ \\$

Now, compute the derivative of this equation with respect to T as follows:

$\dfrac{dz}{dT}= \dfrac{initial \ value \times T^{-\dfrac{3}{2}}}{2b} - \dfrac{aT^{-\dfrac{1}{2}}}{2b}$

Now, figure out the value of T at which this derivative is equal to zero by substituting all values as follows:

$0 = \dfrac{2.0 \times T^{-\dfrac{3}{2}}}{2\times 0.4}- \dfrac{0.1 \times T^{-\dfrac{1}{2}}}{2 \times 0.4} \\ \\ \\ 0.1 \times T^{-\dfrac{1}{2}}= 2.0 \times T^{-\dfrac{3}{2}} \\ \\ \\T = \dfrac{2}{0.1} \\ \\ \\ T = 20$

As a result, the time period in which achieving a negative cash condition is = 20 months.

3 0

3 years ago