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3 years ago

What is the order pair for the orgin

Mathematics

1 answer:

lozanna [386]3 years ago

7 0

The ordered pair that describes the origin is (0, 0).
That's because x=0 and y=0 at the origin.

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Find the 75th term of the following6, 10, 14, 18,

enot [183]

Given the sequence:

6, 10, 14, 18,...

We will find the 75th term

The given sequence is an arithmetic sequence

Because there is a constant common differnce

d = 18 - 14 = 14 - 10 = 10 - 6 = 4

The first term = a = 6

The general formula of the arithmetic sequence is as follows:

$a_n=a+d(n-1)$

Where: n is the nth term

To find the 75th term, substitute with n = 75 and a = 6, d = 4

$a_{75}=6+4\cdot(75-1)=302$

So, the answer will be the 75th term = 302

7 0

1 year ago

Helpppp please ASAP

Molodets [167]

Answer:

I got 12√ 2

PLZ CORRECT ME IF I AM WRONG PLZ AND THXS YOU

Step-by-step explanation:

7 0

3 years ago

What is the slope of the line that contains these points

Bingel [31]

Answer:

(1,-1)

Step-by-step explanation:

X goes up +1 and Y goes down -1

3 0

3 years ago

A circle has a radius of

natima [27]

$\bf s=r\theta\qquad 
\begin{cases}
s=\textit{arc's length}\\
r=radius\\
\theta=\textit{central angle in radians}\\
\qquad \textit{made/subtended by the angle }\theta
\end{cases}\implies \cfrac{s}{r}=\theta$

you're given both, plug them in

4 0

3 years ago

The number of winter storms in a good year is a Poisson random variable with mean 3, whereas the number in a bad year is a Poiss

djyliett [7]

Answer: Mean = 4.8 and variance = 5.16

Step-by-step explanation:

Since we have given

Let X be the number of storms occur in next year

Y= 1 if the next year is good.

Y=2 if the next year is bad.

Mean for good year = 3

probability for good year = 0.4

Mean for bad year = 5

probability for bad year = 0.6

So, Expected value would be

$E[x]=\sum xp(x)\\\\=3\times 0.4+5\times 0.6\\\\=1.2+3\\=4.2$

Variance of the number of storms that will occur.

$Var[x]=E[x^2]-(E[x])^2$

$E[x^2]=E[x^2|Y=1].P(Y=1)+E[x^2|Y=2].P(Y=2)\\\\=(3+9)\times 0.4+(5+25)\times 0.6\\\\=12\times 0.4+30\times 0.6\\\\=4.8+18\\\\=22.8$

So, Variance would be

$\sigma^2=22.8-(4.2)^2\\\\=5.16$

Hence, Mean = 4.8 and variance = 5.16

7 0

3 years ago