Answer:
x=13.6
Step-by-step explanation:
First, let's distribute.
7x-21=4x+20
Second, let's subtract 4x from both sides.
3x-21=20
Next, let's add 21 to both sides.
3x=41
Lastly, let's divide 3 from both sides.
x=13.66666667
x=13.6
Answer:
The probability that the customer is charged incorrectly on at most 2 items is 3.979 × 10⁻².
Step-by-step explanation:
To solve the question, we note that we proceed with the binomial distribution formula as follows
Number of times the customer is incorrectly charged out of ever 10 items = 4
Therefore, the probability that the customer is incorrectly charged is 4/10 = 0.4
That is p(incorrect) = 0.4
Then the probability that the customer is charged incorrectly on at most 2 items is
P(x≤2) = P(x=0) + P(x=1) + P(x=2)
= ₙC
× 
×
=
P(x=0) = ₁₄C₀ ×0.4⁰× 0.6¹⁴ = 7.836 × 10⁻⁴
P(x=1) = ₁₄C₁ ×0.4¹× 0.6¹³ = 7.314 × 10⁻³
P(x=2) = ₁₄C₂ ×0.4²× 0.6¹² = 3.169 × 10⁻²
∴ P(x≤2) = 7.836 × 10⁻⁴ + 7.314 × 10⁻³ + 3.169 × 10⁻² = 3.979 × 10⁻²
P(x≤2) = 3.979 × 10⁻².
Answer:
This is called a sample.
In statistics, we take a random 'sample' of people so that we can estimate values for the entire population!
So, say for example you want to find out what percent of students in your school are girls. You take a sample, like this again, of 30 students, and 3/10 are girls, then you can apply it to the rest of the population.
Hope this helps!
P.S. Stay Safe!
Answer:
A. 1,500m
B. 2000m
C. 1875m
Step-by-step explanation:
A. Here, we simply substitute the value of t in the equation.
t = 5min
V(t) = 400 - 20t
= 400 - 20(5)
= 400 - 100 = 300m/min
Now we know that distance = speed * time = 300 * 5 = 1,500m
2. Substitute t = 10
V = 400 - 20(10) = 400 - 200 = 200m/min
Distance = speed * time = 200 * 10 = 2000m
3. Here we need to calculate time
Rearranging the equation:
20t = 400 - V(t)
20t = 400 - 250
20t = 150
t = 150/20 = 7.5min
Distance traveled = 250 * 7.5 =1875m
Answer:
this is so easy and the answer of this all questions is54
