What is the standard form of (4,4), perpendicular to y = -4/9x

48% of US adults have very little confidence in newspapers you randomly selected 10 US adults. Find the probability that the num

aivan3 [116]

Answer:

$P(x = 5) = 0.2441$

Step-by-step explanation:

Given

$p = 0.48$ --- proportion that have very little confidence

$n = 10$ --- sample

Required

Determine the probability that exactly 5 have very little confidence

This question will be solved using binomial probability:

$P(x) = ^nC_xp^x(1-p)^{n-x}$

In this case: x = 5.

So, we have:

$P(x = 5) = ^{10}C_5*0.48^5(1-0.48)^{10-5}$

$P(x = 5) = ^{10}C_5*0.48^5*0.52^5$

$P(x = 5) = 252*0.48^5*0.52^5$

$P(x = 5) = 0.2441$

7 0

2 years ago

The sum of two numbers is 12. The difference of the same two numbers is −4. Find the two numbers.

Butoxors [25]

Answer:

4 and 8

Step-by-step explanation:

Let 'a' represent one of the numbers. Then the other is 12-a, and their difference is ...

a - (12-a) = -4

2a = 8 . . . . add 12

a = 4 . . . . . divide by 2

12-a = 8 . . . . find the other number

The two numbers are 4 and 8.

7 0

2 years ago

Read 2 more answers

How do you integrate <br><img src="https://tex.z-dn.net/?f=%283x%5E%7B2%7D%20%20%2B%203%29%20%5E%7B3%7D%20" id="TexFormula1" tit

Phoenix [80]

Answer:

Since i don't know what formula is mentioned. I just used the easiest way to solve :)

Step-by-step explanation:

$(3x^2 + 3)^3 = (3x^2)^3 + 3^3 + 3((3x^2)^2)(3) + 3(3x^2)(3^2)$

$= 27x^6 + 27 + 3(9x^4 \times 3) + 3(3x^2 \times 9)\\\\=27x^6 + 27 + 81x^4 + 81x^2\\\\=27x^6 + 81x^4 + 81x^2 + 27\\\\$

$\int\limits {(3x^2+3)^3} \, dx = \int\limits {27x^6 + 81x^4+81x^2 + 27} \, dx$

$= \frac{27}{7}x^7 + \frac{81}{5}x^5+\frac{81}{3}x^3 + 27x +C\\\\= \frac{27}{7}x^7 + \frac{81}{5}x^5+27x^3 + 27x +C\\\\$

8 0

3 years ago

Days/ cost to rent a truck 1/34 2/50 3/66 4/82 A/ C=16d B/ C= 16d + 18 C/ C= 16d + 16 D/ C=18d + 16

Mamont248 [21]

Use the given information as (x, y) points.
You have
(1, 34)
(2, 50)
(3, 66)
(4, 82)
The difference between renting for 1 day and 2 days is 50 - 34 = 16.
The difference between renting for 2 days and 3 days is 66 - 50 = 16
The difference between renting for 3 days and 4 days is 82 - 66 = 16
For each day you rent you pay $16.
Now look at renting for 1 day.
The rental for 1 day is $16, but for 1 day you pay $34.
$34 - $16 = $18
There is an extra $18 in the rental for every day. The $18 is fixed.
That means, to rent a truck, you must pay a fixed amount of $18 plus $16 per day.

total cost = daily cost + fixed cost
total cost = 16d + 16
c = 16d + 18

3 0

2 years ago

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A stretched spring has a length of 12 inches when a weight of 2 lbs is attached to the spring. The same spring has a length of 1

Advocard [28]

The way I figured this one out was saying that if it takes 2lbs to stretch it to 12 inches and 5lbs to stretch to 18 inches that means that 3 additional pounds = 6 inches. Therefore, each additional pound is 2 inches. We know already that with 2 lbs it was 12 inches in length and we can also say that 2 lbs = 4 inches. So subtract 4 from 12 and you end up with the answer of 8 inches.

8 0

2 years ago