What is 7, 14, 3, 14, 0, 1, 14, 5, 14, 16, 0 from least to greatest

Question Help When purchasing bulk orders of batteries, a toy manufacturer uses this acceptance sampling plan: Randomly select

horrorfan [7]

Answer:

The probability is $P(X \le 2 ) = 0.9072$

The company will accept 90.72% of the shipment and will reject $(100 -90.72) = 9.2\%$ of the shipment , so many of the shipment are rejected

Step-by-step explanation:

From the question we are told that

The sample size is n = 36

The proportion that did not meet the requirement is $p = 0.03$

Generally the probability that the whole shipment is accepted is equivalent to the probability that there is at most 2 batteries that do not meet the requirement , this is mathematically represented as

$P(X \le 2 ) = [ P(X = 0 ) + P(X = 1 ) + P(X = 0)]$

=> $P(X \le 2 ) = [ [^{n}C_0 * (p)^{0} *(1-p)^{n-0} ] + [^{n}C_1 * (p)^{1} *(1-p)^{n-1} ] + [^{n}C_2 * (p)^{2} *(1-p)^{n-2} ]]$

Here C stands for Combination (so we will be making the combination function in our calculators )

So

=> $P(X \le 2 ) = [ [^{36}C_0 * (0.03)^{0} *(1-0.03)^{36-0} ] + [^{36}C_1 * (0.03)^{1} *(1-0.03)^{36-1} ] + [^{36}C_2 * (0.03)^{2} *(1-0.03)^{36-2} ]]$

=> $P(X \le 2 ) = [ [1 * 1 * 0.3340 ] + [36* 0.03 *0.3444 ] + [630 * 0.0009 *(0.355 ]]$

=> $P(X \le 2 ) = 0.9072$

The company will accept 90.72% of the shipment and will reject $(100 -90.72) = 9.2\%$ of the shipment , so many of the shipment are rejected

8 0

3 years ago

Which of the following equations describes the line shown below? Check all

nexus9112 [7]

Answer:

C and D

Step-by-step explanation:

The equation of a line in point- slope form is

y - b = m(x - a)

where m is the slope and (a, b) a point on the line

Calculate m using the slope formula

m = $\frac{y_{2}-y_{1} }{x_{2}-x_{1} }$

with (x₁, y₁ ) = (- 3, - 6) and (x₂, y₂ ) = (9, 3) ← 2 points on the line

m = $\frac{3+6}{9+3}$ = $\frac{9}{12}$ = $\frac{3}{4}$

Using (a, b ) = (9, 3 ) , then

y - 3 = $\frac{3}{4}$ (x - 9) → C

Using (a, b ) = (- 3, - 6 ), then

y - (- 6) = $\frac{3}{4}$ (x - (- 3) ) , that is

y + 6 = $\frac{3}{4}$ (x + 3) → D

4 0

3 years ago

A factory makes an oil mixture by mixing oils of grades A and B as follows. For every 2.3 liters of grade A oil, 1.2 liters of g

lozanna [386]

<span>To produce 1000L of mixture the factory will need 657 liters of grade A and 343 liters of grade B. To determine this you have to figure out the percentage of each grade in the mixture. The ratio is 2.3 liters to 1.2 liters. Therefor in this scenario the unit equaling 100% is 3.5 liters. To find the percentage of grade A you divide the amount used by the total amount of the unit 100%: 2.3 divided by 3.5 = .657 (multiply the answer by 100 to get 65.7%). To find the percentage of grade B you divide the amount used by the total amount of the unit 100%: 1.2 divided by 3.5 = .343 (multiply the answer by 100 to get 34.3%) To test your answer make sure both percentages add up to 100%: 65.75 plus 34.35 = 100% To determine how much of grade A and grade B is needed for a set amount of liters you multiply the percentage by the liters needed. For this situation you multiply 65.7% (when multiplying percentages you need to multiply in decimal form). For grade A you multiply .657 (65.7%) by 1000 liters = 657 liters For grade B you multiply .343 (34.3%) by 1000 liters = 343 liters To test your answer you can use the same addition as you did to test the percentages: 657 liters plus 343 liters = 1000 liters</span>

4 0

3 years ago

Read 2 more answers

29, 19, 9, -1, ... <br> please help me out;(

anyanavicka [17]

The next one is -11.

7 0

3 years ago

Read 2 more answers

The accepted value of the average distance between Earth and the moon is 384, 467 km. If a scientist measures that the moon is 3

Karo-lina-s [1.5K]

Answer: