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makvit [3.9K]
3 years ago
10

The sum of 5 consecutive integers is 505, What is the third number in this sequence?

Mathematics
1 answer:
Papessa [141]3 years ago
7 0

Answer:

101

Step-by-step explanation:

hope that helps

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Write the equation using function notation f(x). then find f(0)<br><br> 2x^2 - 3y = 6
Grace [21]

\quad \huge \quad \quad \boxed{ \tt \:Answer }

\qquad \tt \rightarrow \: f(0) = -2

____________________________________

\large \tt Solution  \: :

\qquad \tt \rightarrow \: 2 {x}^{2}  - 3y = 6

\qquad \tt \rightarrow \: 3y + 6 = 2 {x}^{2}

\qquad \tt \rightarrow \: 3y = 2 {x}^{2}  - 6

\qquad \tt \rightarrow \: y =  \cfrac{2 {x}^{2} - 6 }{3}

\qquad \tt \rightarrow \: y =  \cfrac{2 {}^{} }{3}  {x}^{2}  - 2

[ here, y can be replaced with f(x) because y is a function of x ]

\qquad \tt \rightarrow \: f(x) =  \cfrac{2 {}^{} }{3}  {x}^{2}  - 2

\large\textsf{Find f(0):}

\qquad \tt \rightarrow \: f(0) =  \cfrac{2 {}^{} }{3}  {(0)}^{2}  - 2

\qquad \tt \rightarrow \: f(0) =  0  - 2

\qquad \tt \rightarrow \: f(0) =   - 2

Answered by : ❝ AǫᴜᴀWɪᴢ ❞

8 0
1 year ago
3x+2=11,what does this equal to I’m confused
kicyunya [14]

Answer:

3

Step-by-step explanation:

4 0
2 years ago
Read 2 more answers
Help plz I've been stuck
stepladder [879]

Answer:

The answer is D. (\frac{1}{5} )^{2}

Step-by-step explanation:

5^{4} *(5^{-3} )^{2}

simplify the expression by multiplying

5^{4} *5^{-6}

calculate the product

5^{-2}

express with a positive exponent using a^{-n} =\frac{1}{a^{n} }

\frac{1}{5^{2} }

6 0
3 years ago
Read 2 more answers
1Y, the number of accidents per year at a given intersection, is assumed to have a Poisson distribution. Over the past few years
miss Akunina [59]

Answer:

The probability that the intersection will come under the emergency program is 0.1587.

Step-by-step explanation:

Lets divide the problem in months rather than in years, because it is more suitable to divide the period to make a better approximation. If there were 36 accidents in average per year, then there should be 3 accidents per month in average. We can give for the amount of accidents each month a Possion distribution with mean 3 and variance 3.

Since we want to observe what happen in a period of one year, we will use a sample of 12 months and we will take its mean. We need, in average, more than 45/12 = 3.75 accidents per month to confirm that the intersection will come under the emergency program.

For the central Limit theorem, the sample mean will have a distribution Normal with mean 3 and variance 3/12 = 0.25; thus its standard deviation is √0.25 = 1/2.

Lets call the sample mean distribution X. We can standarize X obtaining a standard Normal random variable W with distribution N(0,1).

W = \frac{X-\mu}{\sigma} = \frac{X-3}{1/2} = 2x-6

The values of \phi , the cummulative distribution function of W, can be found in the attached file. We are now ready to compute the probability of X being greater than 3.75, or equivalently, the probability than in a given year the amount of accidents is greater than 45, leading the intersection into an emergency program

P(X > 3.75) = P(2X-6 > 2*3.75-6) = P(W > 1) = 1-\phi(1) = 1-0.8413 \\= 0.1587

Download pdf
7 0
3 years ago
Fabio and Carlos play on a basketball team together. In the last game, Fabio had 7 points less than 2 times as many points as Ca
masha68 [24]
Fabio=2(carlos)-7
31=2(x)-7
31-7=2x
24=2x
x=12
7 0
2 years ago
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