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3 years ago

Eliza graphed a function representing the arithmetic sequence {−5,5,15,25,35}. She then connected the points to make a line.

Mathematics

1 answer:

Elan Coil [88]3 years ago

4 0

Answer:

Well we are adding by 10 for every 1 increase in x. So slope is 10 / 1 = 10. (1. a slope of 10) is an answer.

We want x = 1 to have y = -5 Slope form is y=mx+b. We know m = 10 bec slope is 10. We have the point (1,-5) on the graph so we solve for b by plugging:

-5 = 10(1) + b and this is b = -15. So graph has function y = 10x-15.

b is the y-intercept so (3. a y-intercept at (0,−15)) is an answer.

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In 1898 L. J. Bortkiewicz published a book entitled The Law of Small Numbers. He used data collected over 20 years to show that

attashe74 [19]

Answer:

(a) The probability of more than one death in a corps in a year is 0.1252.

(b) The probability of no deaths in a corps over 7 years is 0.0130.

Step-by-step explanation:

Let <em>X</em> = number of soldiers killed by horse kicks in 1 year.

The random variable $X\sim Poisson(\lambda = 0.62)$ .

The probability function of a Poisson distribution is:

$P(X=x)=\frac{e^{-\lambda}\lambda^{x}}{x!};\ x=0,1,2,...$

(a)

Compute the probability of more than one death in a corps in a year as follows:

P (X > 1) = 1 - P (X ≤ 1)

= 1 - P (X = 0) - P (X = 1)

$=1-\frac{e^{-0.62}(0.62)^{0}}{0!}-\frac{e^{-0.62}(0.62)^{1}}{1!}\\=1-0.54335-0.33144\\=0.12521\\\approx0.1252$

Thus, the probability of more than one death in a corps in a year is 0.1252.

(b)

The average deaths over 7 year period is: $\lambda=7\times0.62=4.34$

Compute the probability of no deaths in a corps over 7 years as follows:

$P(X=0)=\frac{e^{-4.34}(4.34)^{0}}{0!}=0.01304\approx0.0130$

Thus, the probability of no deaths in a corps over 7 years is 0.0130.

6 0

3 years ago

Pls I need the answer for 3 and 4 and it’s very hard

Elodia [21]

#4 is 47, 48, 49

47+48+49=144

4 0

3 years ago

I need algebra help.....

Lubov Fominskaja [6]

Answer:

$y=4(3)^x$

Step-by-step explanation:

From the table given in the question,

x y Difference Ratio

1 12 - -

2 36 36-12 = 24 $\frac{36}{12}=3$

3 108 108-36 = 72 $\frac{108}{36}=3$

4 324 324-108 = 216 $\frac{324}{108}=3$

5 972 972-324 = 648 $\frac{648}{216}=3$

There is a common ratio of 3 in each successive term.

Therefore, data given in the table will represent an exponential function.

$y=a(b)^x$

For a point $(1, 12),$

$12=a(b)^1$

$ab=12$ ------(1)

For another point of the table $(2,36)$ ,

$36=a(b)^2$

$ab^2=36$ --------(2)

Equation (2) divided by equation (1)

$\frac{ab^2}{ab}=\frac{36}{12}$

$b=3$

From equation (1),

$3a=12$

$a=4$

Therefore, exponential function will be,

$y=4(3)^x$

7 0

3 years ago

Steps to solve this-- Find the percent of increase from 380 to 440. Round to the nearest tenth of a percent if necessary. 13.6%

OLga [1]

If 380 would be 100%

Then use rule of 3

380 ______ 100%

440 ______ y

380y = 440×100%

380y = 440 × 1

Dividing both the sides by 380

y = 440/380

y = 1,158

Let's multiplity "y" by 100

y = 115,8%

As we did have 100% initially

Then the increase will be

The increase = 115,8% -100%

= 15,8%

This would your answer

8 0

3 years ago

I need help, you’ll receive brainlest!

OleMash [197]

Answer:

Step-by-step explanation:

5 0

2 years ago