What is the reason for each step in the solution of the inequality?
700 + 16 < -5(4 – 5x)
Match the reason with the correct step in the inequality.

Answer:

The probability is 0.9421

Step-by-step explanation:

Here, we want to calculate the probability that the batch will be accepted

For it to be accepted, 3,4 or 5 of the items would pass inspection

let p be the probability of a single item

passing the inspection

This probability is 80% = 0.8

Let q be the probability of failing inspection = 2-0.8 = 0.2

The Bernoulli approximation of the probability distribution for 3 passing the inspection out of five will be;

5 C 3 0.8^3 0.2^2 = 0.2048

Next we calculate for 4 out of the five

That will be

5 C 4 0.8^4 0.2 = 0.4096

Finally we calculate for all 5

5 C 5 0.8^5 0.2^0 = 0.32768

So the probability that the batch will be accepted will be;

0.32768 + 0.4096 + 0.2048 = 0.94208

Using the binomial distribution, it is found that there is a 0.9421 = 94.21% probability that the batch will be accepted.

For each item, there are only two possible outcomes, either they pass inspection, or they do not. The probability of an item passing inspection is independent of any other item, hence the binomial distribution is used to solve this question.

The formula is:

[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]

[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]

The parameters are:

In this problem:

The probability that the batch will be accepted is:

[tex]P(X \geq 3) = P(X = 3) + P(X = 4) + P(X = 5)[/tex]

In which:

[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]

[tex]P(X = 3) = C_{5,3}.(0.8)^{3}.(0.2)^{2} = 0.2048[/tex]

[tex]P(X = 4) = C_{5,4}.(0.8)^{4}.(0.2)^{1} = 0.4096[/tex]

[tex]P(X = 5) = C_{5,5}.(0.8)^{5}.(0.2)^{0} = 0.3277[/tex]

Then:

[tex]P(X \geq 3) = P(X = 3) + P(X = 4) + P(X = 5) = 0.2048 + 0.4096 + 0.3277 = 0.9421[/tex]

0.9421 = 94.21% probability that the batch will be accepted.

You can learn more about the binomial distribution at https://brainly.com/question/24863377

Answer:

n = 13

Step-by-step explanation:

[tex]a_{n}[/tex] = [tex]a_{1}[/tex] + (n - 1)d

[tex]a_{n}[/tex] = 3 + 7(n - 1) (for the first AP)

[tex]a_{n}[/tex] = 63 + 2(n - 1) ( for the second one)

3 + 7(n - 1) = 63 + 2(n - 1)

3 + 7n - 7 = 63 + 2n - 2

5n = 65

n = 13

Answer:

n = 13

Step-by-step explanation:

AP = 2, 10, 17 ...

AP1  = 63,65, 67

Find the general term of AP

L = a + (n - 1)*d

a = 2

d = 7

Find the general term of AP1

L = 63 + (n - 1)*d

a  = 63

d = 2

Equation to equate both of them

L = 3 + (n-1)7

L1 = 63 + (n - 1)*2

Equate L and L1

2 + (n - 1)*7= 63 + (n-1)*2           Subtract 3 from both sides

(n - 1)*7 = 63 - 3 + (n - 1)*2         Remove the brackets

7n - 7 = 60 + 2n - 2                   Combine the like terms on the right

7n -  7 = 58 + 2n                        Subtract 2n from both sides

7n - 2n -7 = 58                          Add 7 to both sides

5n = 58 +7                                Divide by 5

n =   65/5

n = 13

So the 13th term on each series is equal.

L_13 = 3 + (13 - 1)*7

L_13 = 3 + (12)*7

L_13 = 87

=====================

L'_13 = 63 + (13 -1 ) * 2

L'_13 = 63 + 12*2

L'_13 = 87

Answer:

variables

Step-by-step explanation:

Answer:

i think it's C.

Step-by-step explanation:

i really hope I'm right :/

Answer:

$5.50

Step-by-step explanation:

Answer:

You would get 4.5 as your answer or 4 1/2

Step-by-step explanation:

You literally just do 18/4

And you get your answer

Answer:

Step-by-step explanation:

Steps are below

step 1

4.5 + 5.9  equation

step 2

4.5 + 5.9  add them together by moving the points

4.5 + 5.9

10.4

Answer:56/23

Step-by-step explanation:

23x +18-12=62

23x+6=62

23x=56

X=56/23

Answer:

x=4

Step-by-step explanation:

Group like terms

23x-12x+18=62

add similar elements

11x+18=62

subtract 18 from both sides

11x+18-18=62-18

simplify

11x=44

divide both sdies by 11

11x/11=44/11

simplify

x=4

Answer:

1% are 5 students

Step-by-step explanation:

21% is 96 then

1% is X

X = 1*96 / 21

X = 5

4y²x(xy-2x²)​=4y³x²-8y²x³

Answer:

4y³x² -  8x³y²

General Formulas and Concepts:

Pre-Algebra

Algebra I

Step-by-step explanation:

Step 1: Define

4y²x(xy - 2x²)

Step 2: Multiply

Answer: a I think

Step-by-step explanation:

Answer:

don't expect people to help when you comment bs under their questions for points, mad weird

Answer:

$ 7.26

Step-by-step explanation:

You're welcome :)

Answer:

y = 1/2

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Equality Properties

Step-by-step explanation:

Step 1: Define

3(2y - 3) - 6 = -12

Step 2: Solve for y

Answer:

Step-by-step explanation:

here you go mate

step 1

3(2y-3)-6=-12  equation

step 2

3(2y-3)-6=-12  simplify

(3)(2y)+(3)(-3)+-6=-12

step 3

(3)(2y)+(3)(-3)+-6=-12  distribute

6y+(-9)+(-6)=-12

step 4

(6y)+(-9+-6)=-12  combine the terms

6y-15=-12

step 5

6y-15(+15)=-12(+15) add +15 to both sides

6y=3

step 6

6y/6=3/6

answer

y=1/2

Answer:

5 quarters

2 nickels

Step-by-step explanation:

Answer:

5 quarters and 2 nickels.

Step-by-step explanation:

One quarter is equal to 25. 25x5=125. So, it would be 5 quarters because you wouldn't be able to go any farther without going over. One nickel is 5 and if you have 2 nickels you get 10. 10+125=135. So, there will be 2 nickels and 5 quarters.

Hope this helped!

Answer:

The boiling point of the liquid it 210.25°F

Step-by-step explanation:

Linear Modeling

Some real-life events can be modeled as linear functions. If we are in a situation where a linear model is suitable, then we need two sample points to build the model and predict unknown behaviors.

The equation of a line passing through points (x1,y1) and (x2,y2) can be found as follows:

[tex]\displaystyle y-y_1=\frac{y_2-y_1}{x_2-x_1}(x-x_1)[/tex]

We are given the following points (H,A) where A is the altitude and P is the boiling point of a certain liquid: (8200,199.42) and (4700,206.07)

Applying the formula:

[tex]\displaystyle B-199.42=\frac{206.07-199.42}{4700-8200}(A-8200)[/tex]

Calculating:

[tex]\displaystyle B-199.42=\frac{6.65}{-3500}(A-8200)[/tex]

[tex]\displaystyle B-199.42=-0.0019(A-8200)[/tex]

[tex]\displaystyle B-199.42=-0.0019A+15.58[/tex]

[tex]\displaystyle B=-0.0019A+15.58+199.42[/tex]

The equation is:

[tex]\displaystyle B=-0.0019A+215[/tex]

Finally, we calculate the boiling point at A=2500 ft:

\displaystyle B=-0.0019*2500+215

B = 210.25°F

The boiling point of the liquid it 210.25°F

Answer:

When p=18, t=6

Step-by-step explanation:

If p and t are directly proportional, then:

p = k.t

Where k is the constant of proportionality.

We are given an initial condition: when p=12, then t=4. Substituting in the equation:

12 = k.4

Solving for k

k = 12/4 =3

The equation is:

p = 3t

Now we are required to find the value of t when p=18:

18 = 3t

Solving for t:

t = 18/3 = 6

t = 6

Thus, when p=18, t=6

Answer:

Angle a is the smallest

9514 1404 393

Answer:

  4.75%

Step-by-step explanation:

When simple interest is charged, the payback amount is ...

  A = P(1 +rt) . . . . for annual rate r and a term of t years

Using the given values, we can solve for r.

  10280 = 8000(1 +6r)

  1.285 = 1 +6r . . . . . . . . divide by 8000

  0.285 = 6r . . . . . . . . . . subtract 1

  0.285/6 = r = 0.0475 = 4.75% . . . . . . divide by 6; express as %

Theo paid interest at the rate of 4.75%.

Answer:

28+12x

Step-by-step explanation:

The perimeter of a square is 4s where s is the side lenght. In your case s is 7+3x so the perimeter will be (28+12x).

Answer:

ok coool

Step-by-step explanation:

i have nothing

Answer:

[tex]y-4=\frac{5}{4} (x+2)[/tex]

Step-by-step explanation:

First you can find the slope of the line that would pass through those two points using the formula:

m = [tex]\frac{y_{2}-y_{1}}{x_{2}-x_{1}}[/tex]

m = [tex]\frac{3-(-2)}{8-4}[/tex]

m=5/4

Now you can just plug the slope and one of the points into point-slope form for an equation of the line that will pass through both points. You can choose either point here: I'll just use the first one.

So,

[tex]y-4=\frac{5}{4} (x+2)[/tex]

(don't leave out the parentheses!)

Answer:

cherries picked by Noah =3kg

Mia picked = 1/2*3 = 1.5kg

Total cherries picked together = 3+1.5 = 4.5kg

Step-by-step explanation:

Answer:

4.5 or 4 1/2. Based on the given conditions, formulate: 3 + 3 / 2 Find common denominator and write the numerators. ++++=4.5

Step-by-step explanation:

CORRECT THIS ANSWER MARK A BRAIN LESS

Answer:

2.14 x 14.5 = $31.03

Step-by-step explanation:

Hope this helped have an amazing day!

Answer:

1/20 liters per statue

so you divide 7/8 by 1/20

7/8*20/1

17.5 statues

but there cant be decimal statues,

so 17 statues is the answer

Answer:

17 statues.

Step-by-step explanation:

7/8 / 1/20

= 7/8 * 20

= 140/8

= 17.5.

9514 1404 393

Answer:

  (d)  The mean of X, the mean of Y, and the slope

Step-by-step explanation:

A point on the linear regression curve is (mean(x), mean(y)). With that point and the slope, the equation of the line can be found. That equation will reveal the y-intercept.

  y-intercept = mean(y) -slope·mean(x)

Answer:

x = 3

Step-by-step explanation:

7 = 4x - 5

7 - 4x = -5

-4x = -5 - 7

-4x = -12

x = 12 ÷ 4

x = 3

Answer:

×=3

Step-by-step explanation:

7=4×-5

7-4×=5

-4×=-5-7

-4×=-12

×=12÷4

×=3

Answer:

f{3x}=6x-5

Step-by-step explanation:

There isn't really much to do: if you perform the division between function you get a new function:

[tex]h(x)=\dfrac{g(x)}{f(x)}=\dfrac{3x}{2x-5}[/tex]

Answer:

bottom one

Step-by-step explanation:

9a-b-2a-10b      add like terms

7a-11b