Using base ten blocks to divide with double digits

A pharmaceutical company receives large shipments of aspirin tablets. The acceptance sampling plan is to randomly select and tes

DerKrebs [107]

Answer:

a) The probability that this whole shipment will be accepted is 30%.

b) Many of the shipments with this rate of defective aspirin tablets will be rejected.

Step-by-step explanation:

We have a shipment of 3000 aspirin tablets, with a 5% rate of defects.

We select a sample of size 48 and test for defectives.

If more than one aspirin is defective, the batch is rejected.

The amount of defective aspirin tablets X can be modeled as a binomial distribution random variable, with p=0.55 and n=48

We have to calculate the probabilities that X is equal or less than 1: P(X≤1).

$P(X\leq1)=P(X=0)+P(X=1)\\\\\\P(0)=\binom{48}{0}(0.05)^0(0.95)^{48}=1*1*0.0853=0.0853\\\\\\P(1)=\binom{48}{1}(0.05)^1(0.95)^{47}=48*0.05*0.0897=0.2154\\\\\\P(X\eq1)=0.0853+0.2154=0.3007$

8 0

2 years ago

The area of a field shaped like a right triangle is 750yd^2.One leg of the field is fenced with wood costing $5/yd. the remainde

Elenna [48]

Assume that
a and b = the two legs of the right triangle.
c = the hypotenuse.

The area of the right triangle is 750 yd², therefore
(1/2)*a*b = 750
ab = 1500 (1)

The perimeter is 150yd, therefore
a + b + c = 150 (2)

Let the side fenced with wood be a, at $5/yd. Sides b and c are fenced with steel at $10/y. The total cost is $1200, therefore
5a + 10b + 10c = 1200
or
a + 2b + 2c = 240 (3)

From (2), obtain
c = 150 - a - b (4)

Substitute (4) into (3)
a + 2b + 2(150 - a - b) = 240
-a + 300 = 240
a = 60

From (1), obtain
60b = 1500
b = 25

From (4), obtain
c = 150 - 60 - 25 = 65

Answer:
A. The length of the leg fenced with wood is 60 yd.
B. The length of the leg fenced with steel is 25 yd.

5 0

3 years ago

magazine provided results from a poll of adults who were asked to identify their favorite pie. Among the respondents, % chose

Alex73 [517]

Complete Question

A magazine provided results from a poll of 500 adults who were asked to identify their favorite pie. Among the 500 respondents, 12 % chose chocolate pie, and the margin of error was given as plus or minus 5 percentage points.What values do $\r p , \ \r q$ , n, E, and p represent? If the confidence level is 90%, what is the value of $\alpha$ ?

Answer:

a

$\r p$ is the sample proportion $\r p = 0.12$

$n$ is the sample size is $n = 500$

$E$ is the margin of error is $E = 0.05$

$\r q$ represents the proportion of those that did not chose chocolate pie i.e $\r q = 1- \r p$

b

$\alpha = 10\%$

Step-by-step explanation:

Here

$\r p$ is the sample proportion $\r p = 0.12$

$n$ is the sample size is $n = 500$

$\r q$ represents the proportion of those that did not chose chocolate pie i.e

$\r q = 1- \r p$

$\r q = 1- 0.12$

$\r q = 0.88$

$E$ is the margin of error is $E = 0.05$

Generally $\alpha$ is the level of significance and it value is mathematically evaluated as

$\alpha = ( 100 - C )\%$

Where $C$ is the confidence level which is given in this question as $C = 90 \%$

So

$\alpha = ( 100 - 90 )\%$

$\alpha = 10\%$

5 0

3 years ago

Help plz need answer asap

AlladinOne [14]

Answer:

The image that is correct is the one with yellow starting at positive 4 and green at negative 4. The solution is anything less than positive 4.

3 0

2 years ago

If x-y=5 then how does y=-2x-4

mixer [17]

Based on my knowledge, you’d set both equations equal to y, and then set both sides equal to each other then solve.

y=-5+x
y=-2x-4
-5+x=-2x-4
then solve from there

(this could be completely wrong, so don’t only go by my opinion)

3 0

3 years ago