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Reika [66]
3 years ago
7

If two figures are congruent, their area are equal. the area if ABCD equals the area if PQRS​

Mathematics
1 answer:
JulsSmile [24]3 years ago
7 0

Answer:

Yes

Step-by-step explanation:

Since the sides are each congruent then ABCD and PQRS are the exact same shape and size. This means the area inside each figure will be the same amount. The areas are the same.

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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
Given x=2 and y=4, then x*2 y is
Zarrin [17]

Answer:

16 I guess

Step-by-step explanation:

2*2 is 4

Then 4 times 4 is 16.

7 0
3 years ago
Read 2 more answers
An animal shelter has cats and dogs. The ratio of cats to dogs is 3 to 5. If there are 15 dogs, how many cats are there?
MAXImum [283]
Nine is the correct answer
4 0
3 years ago
Read 2 more answers
List the numbers that have 18 as a multiple.
nikklg [1K]
1,18
9,2
6,3
2,9

Thank you for the points :)
8 0
3 years ago
Family Video charges $10 for
Irina18 [472]

Answer:

4 movies, $20

Step-by-step explanation:

Given data

Family Video

charges $10 for a monthly membership and

$2.50 per movie

let the number of movies be x

and the charge for x movies be y

y= 10+2.5x----------1

Babe's  Movies

charges a $12

membership and $2 per

movie.

let the number of movies be x

and the charge for x movies be y

y= 12+2x----------2

equate 1 and 2

10+2.5x= 12+2x

collect like terms

12-10= 2.5x-2x

2= 0.5x

x= 2/0.5

x= 4 movies

put x= 4 in equation 1 or 2

y= 12+2x----------2

y= 12+2*4

y= 12+8

y= $20

4 0
3 years ago
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