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Rus_ich [418]
3 years ago
8

What is a prime expression?

Mathematics
1 answer:
sladkih [1.3K]3 years ago
6 0
A prime expression is a math term. It is a expression that can't be divided by anything other than a 1. 
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In a state where license plates contain six digits, what is the probability that the license number of a randomly selected car h
andre [41]

Answer:

Step-by-step explanation:

Given : In a state where license plates contain six digits.

Probability of that a number is 9 = \dfrac{1}{10}   [Since total digits = 10]

We assume that each digit of the license number is randomly selected  .

Since each digit in the license plate is independent from the other  and there is only two possible outcomes for given case (either 9 or not), so we can use Binomial.

Binomial probability formula:  P(X=x)=^nC_xp^x(1-p)^{n-x}

, where n= total trials , p = probability for each success.

Let x be the number of 9s in the license plate number.

X\sim Bin(n=6, p=\dfrac{1}{10}})

Then, the probability that the license number of a randomly selected car has exactly two 9's will be :

P(X=2)=^6C_2(\dfrac{1}{10})^2(1-\dfrac{1}{10})^{6-2}\\\\=\dfrac{6!}{2!(6-2)!}(\dfrac{1}{100})(\dfrac{9}{10})^4=0.098415

Hence, the required probability = 0.098415

5 0
3 years ago
The producer of certain medicine claims that it’s bottling
aliya0001 [1]

Answer:

it depends if he's  bottling it or not

Step-by-step explanation:

4 0
3 years ago
a quantity of ethanol is cooled from 47.9° C to 12.3°C and releases 3.12 KJ of heat. what is the mass of the ethanol sample?​
victus00 [196]

Answer:

35.9 grams

Step-by-step explanation:

We use the formula:

q=m*C_p*\Delta T

Where

q is heat released

m is mass

C_p is the constant 2.44

ΔT is change in temperature

We put the info in the formula and solve for m (mass):

q=m*C_p*\Delta T\\-3.12 =  m*2.44(12.3-47.9)\\-3.12*10^3=m*(-86.864)\\m=35.9

The mass of ethanol is 35.9 grams

8 0
3 years ago
Josh’s mother is buying baked goods for breakfast. Doughnuts cost $1.00
Ira Lisetskai [31]

Answer:

B or $8.75

Step-by-step explanation:

Hope this helps!

8 0
3 years ago
Read 2 more answers
Please help Me 41 points
nexus9112 [7]

Answer: u already have the answer so thank u for the answer and the 21. Points

Step-by-step explanation:

3 0
3 years ago
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