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Nady [450]
3 years ago
8

What is the standard form of this power of ten?

Mathematics
1 answer:
trapecia [35]3 years ago
8 0
10099 is this right i think it would be
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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
3 years ago
When solving the system using the additional/elimination method, which variables will cancel?
iogann1982 [59]

Answer:

the x terms

Step-by-step explanation:

there is a +x and a -x.

x-x=0,

x will cancel out

6 0
3 years ago
Which polynomial represents the difference below? (8x^2+9)-(6x^2+2x+2)
grin007 [14]

Answer:

The polynomial is  2 x² - 2x + 7

Step-by-step explanation:

Given polynomial

                   (8 x² + 9 ) - (6x² +2x +2)

           =   8 x² +9 - 6x² - 2x -2

          =    8x² - 6x² - 2x + 9-2

         =    2 x² - 2x + 7

The polynomial is   2 x² - 2x + 7

5 0
3 years ago
The graph of the function f(x)=−4(x−3)2+9 will be a parabola opening in which direction?
sesenic [268]

Answer:

downwards

Step-by-step explanation:

the equation of a parabola in vertex form is

f(x) = a(x - h)² + k

where (h, k ) are the coordinates of the vertex and a is a multiplier

• if a > 0 then parabola opens upwards

• if a < 0 then parabola opens downwards

for

f(x) = - 4(x - 3)² + 9 with a = - 4 < 0 , then

the parabola opens downwards

8 0
2 years ago
write an enaquality that expresses the reason the lengths 5 feet , 10 feet and 20 feet could not make a triangle. explain how th
NikAS [45]
For any triangle, the 2 shortest sides added together have to be longer than the longest sides.

short side (10) + short side (5) needs to be greater than (>) longest side (20)

10 + 5 > 20

15 > 20

This inequality is incorrect, so the lengths cannot make a triangle.

Hope this helps :)

7 0
3 years ago
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