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3 years ago

Please help and show work y=-8x y=-4-10x

1 answer:

Nutka1998 [239]3 years ago

7 0

{ y=-8x
{ y=-4-10x

Substitution Method:

-8x=-4-10x
x=-2

y=-8(-2)
y=16

(x,y) = (-2,16)

Check solution
{ 16=-8(-2)
{ 16=-4-10(-2)

{ 16=16
{ 16=16

Elimination Method:

{ 8x+y=0
{ 10x-y=-4

{ 8x+y=0
{ -10x-y=4

-2x=4
x=-2

8(-2)+y=0
y=16

(x,y) = (-2,16)

*For checking, its the same with the substitution method

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According to a 2010 study conducted by the Toronto-based social media analytics firm Sysomos, 71% of all tweets get no reaction.

klemol [59]

Answer:

a) the expected number of tweets with no reaction is 71 tweets

b) the variance is 20.59 tweets² ( ≈ 21 tweets )and the standard deviation is

4.537 tweets (≈ 5 tweets)

Step-by-step explanation:

we can use the binomial probability distribution

P(x, N, p ) = N!/[(N-x)!x!] * p^x * (1-p)^(N-x)

where

x = number of successful events

N = population total

p = probability for success for every individual and independent event

P = probability for x successful events

in our case p = 71% = 71/100 (probability of a tweet without reaction) , N = 100 tweets

a) the expected number of tweets

E(x) = N* p = 100 tweets * 71/100 = 71 tweets

b) the variance is

V(x) = N * p * (1-p)

V = 100 * 71/100 * (1-71/100) = 71* 29/100 = 20.59 tweets² ( units of variance are [N²] )

the standard deviation is

s = √V = √20.59 tweets² = 4.537 tweets

6 0

3 years ago

Doug took 93 minutes to answer 31 questions. Click on the equation that can be used to determine the number of questions, q, tha

melisa1 [442]

Answer:

3 questions

Step-by-step explanation:

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2 years ago

The length of the base of a rectangular prism is 9

Tatiana [17]

Answer:

The volume of the prism is 320 15/16 inches³.

Step-by-step explanation:

Given:

The length of the base of a rectangular prism is 9 7/8.

The width of the prism is 8 1/8.

And the height is 4 inches.

Now, to find the volume of the prism.

(Length) l = 9 7/8 = 79/8 inches.

(Width) w = 8 1/8 = 65/8 inches.

(Height) h = 4 inches.

So, by putting the formula to get the volume:

Volume = w×h×l.

$Volume=\frac{65}{8}\times 4\times \frac{79}{8}$

$Volume=320\frac{15}{16}$

Volume = 320 15/16 inches³.

Therefore, the volume of the prism is 320 15/16 inches³.

7 0

3 years ago

What is the answer to <img src="https://tex.z-dn.net/?f=%5Csqrt%5B3%5D%7B1000%7D" id="TexFormula1" title="\sqrt[3]{1000}" alt="\

liubo4ka [24]

Therefore, cube root of 1000 is 10.

Step-by-step explanation:

= 3√1000

= 3√(10 × 10 × 10)

= 3√(103)

= 10

6 0

2 years ago

The number of ways 8 cars can be lined up at a toll booth would be computed from

stepladder [879]

Answer: c. 8!

Step-by-step explanation:

We know , that if we line up n things , then the total number of ways to arrange n things in a line is given by :-

$n!$ ( in words :- n factorial)

Therefore , the number of ways 8 cars can be lined up at a toll booth would be 8! .

Hence, the correct answer is c. 8! .

Alternatively , we also use multiplicative principle,

If we line up 8 cars , first we fix one car , then the number of choices for the next place will be 7 , after that we fix second car ,then the number of choices for the next place will be 6 , and so on..

So , the total number of ways to line up 8 cars = 8 x 7 x 6 x 5 x 4 x 3 x 2 x1 = 8!

Hence, the correct answer is c. 8! .

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3 years ago