Write in standard form y-4=2.5(x+3)

svlad2 [7]

N^8-18n^6+10n^4+810000/n^4
hope this helps!

6 0

3 years ago

If a function is defined by the formula y equals 2x + 1 + that domain is given by the set 3, 5, 7, 9 then which set represents t

Mariulka [41]

Answer:

{7, 11, 15, 19}

Step-by-step explanation:

The function is defined by the formula y = 2x + 1 ........ (1)

Now, domain of the function are given to be {3, 5, 7, 9}

Hence, from equation (1), at x= 3, y = 2 × 3 + 1 = 7

Now, at x = 5, y = 2 × 5 + 1 = 11

Again, at x = 7, y = 2 × 7 + 1 = 15

Finally, at x = 9, y = 2 × 9 + 1 = 19

Therefore, the range of the corresponding domain of this function is given to be {7, 11, 15, 19}. (Answer)

8 0

4 years ago

X- 12 = 5x2 in standard form

Rudik [331]

Answer:

It is: -5x^2 + x - 12 = 0

Step-by-step explanation:

4 0

3 years ago

An Airliner has a capacity for 300 passengers. If the company overbook a flight with 320 passengers, What is the probability tha

TEA [102]

Answer:

The probability is $P(X >300 ) = 0.97219$

Step-by-step explanation:

From the question we are told that

The capacity of an Airliner is k = 300 passengers

The sample size n = 320 passengers

The probability the a randomly selected passenger shows up on to the airport

$p = 0.96$

Generally the mean is mathematically represented as

$\mu = n* p$

=> $\mu = 320 * 0.96$

=> $\mu = 307.2$

Generally the standard deviation is

$\sigma = \sqrt{n * p * (1 -p ) }$

=> $\sigma = \sqrt{320 * 0.96 * (1 -0.96 ) }$

=> $\sigma =3.50$

Applying Normal approximation of binomial distribution

Generally the probability that there will not be enough seats to accommodate all passengers is mathematically represented as

$P(X > k ) = P( \frac{ X -\mu }{\sigma } > \frac{k - \mu}{\sigma } )$

Here $\frac{ X -\mu }{\sigma } =Z (The \ standardized \ value \ of \ X )$

=> $P(X >300 ) = P(Z > \frac{300 - 307.2}{3.50} )$

Now applying continuity correction we have

$P(X >300 ) = P(Z > \frac{[300+0.5] - 307.2}{3.50} )$

=> $P(X >300 ) = P(Z > \frac{[300.5] - 307.2}{3.50} )$

=> $P(X >300 ) = P(Z > -1.914 )$

From the z-table

$P(Z > -1.914 ) = 0.97219$

So

$P(X >300 ) = 0.97219$

8 0

3 years ago

Lopez’s mailing bill is automatically deducting $19 from his bank account every month. How much will the deductions total for th

MakcuM [25]

If Lopez's mailing bill continues to deduct 19$ from his bank account every month for a year, then in total, the deductions total for the year would be $228.00.

Why?

$19.00 is being taken away each month. There are 12 months in a year.

$19.00 x 12 months = the total of $228.00 a year.

5 0

3 years ago