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Snowcat [4.5K]
3 years ago
14

What is the probability that a randomly selected number from 15-27 is prime?​

Mathematics
1 answer:
sladkih [1.3K]3 years ago
8 0

Answer: As we know that, Probability of an event =Number of favourable cases Number of total cases, We get, probability of choosing a prime number from 1 to 20 =820=25. Therefore, we get the probability of choosing a prime number from 1 to 20 as 25or 0.4.

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A pharmaceutical company receives large shipments of aspirin tablets. The acceptance sampling plan is to randomly select and tes
hammer [34]

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
Find each product. (20 Points!)
rodikova [14]
Answer:
13) 10b^2a^4
14) -5y^3+35y^2-10y
6 0
3 years ago
HELP PRETTY PLEASE THIS IS URGENT NEED IN THE NEXT HOUR!!
zmey [24]

Answer:

(- 2, 6 )

Step-by-step explanation:

Given the equations

3x + 2y = 6 → (1)

\frac{2}{3} y - x = 6 ( multiply through by 3 to clear the fraction )

2y - 3x = 18 ( add 3x to both sides )

2y = 18 + 3x → (2)

Substitute 2y = 18 + 3x into (1)

3x + 18 + 3x = 6

6x + 18 = 6 ( subtract 18 from both sides )

6x = - 12 ( divide both sides by 6 )

x = - 2

Substitute x = - 2 into (1) and solve for y

3(- 2) + 2y = 6

- 6 + 2y = 6 ( add 6 to both sides )

2y = 12 ( divide both sides by 2 )

y = 6

solution is (- 2, 6 )

7 0
2 years ago
Elisa ​says, "If you subtract 14 from my number and multiply the difference by -3 ​, the result is -33 ​." What is Elise​'s ​num
Svetach [21]

Answer:

25

Step-by-step explanation:

(x-14)*-3 = -33

-3x+42 = -33

-3x = -33-42

-3x = -75

x=25

6 0
3 years ago
The difference between a number and 16 is 49.<br><br> ANYBODY KNOW THE ANSWER?~
nekit [7.7K]

Hey there!

GUIDE

• The word “sum” means add

• The word “difference” means subtract

• The word “product” means multiply

• The word “quotient” means divide

• The word “is” means equal to

• The “unknown number” is a variable that is not known. So people usually label it as a variable until they figure out what the unknown value is.

Now that we have that information out the way we can solve for your given question.

“The [DIFFERENCE] between [a number] & 16 [is] 49

Lets break it down

• DIFFERENCE (between) = subtract☑️

• A NUMBER = UNKNOWN (so we will label it is as “n”]☑️

• 16 will stay the same because NOTHING was done to it!

• IS = is equal to☑️

We have the key terms out of the way so now we met our answer

ANSWER:

“n - 16 = 49”

Good luck on your assignment and enjoy your day!

~Amphitrite1040:)

5 0
2 years ago
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