This is a fundamental counting principle problem and can be solved by multiplying the number of choices you have for each digit of the license plate.
For the first five digits you can choose from the numbers 0,1,2...,9 or 10 choices.
A we cannot repeat the digits, so, first five digits will be:
10 × 9 × 8 × 7 × 6
Now the next 1 digit will all be letter all being different
There are 26 letters in the alphabet.. for our second digit we have 26 choices,
Here is the whole calculation:
= 10 × 9 × 8 × 7 × 6 × 26
= 786240
To learn more about calculating possibilities from the given link
brainly.com/question/4658834
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836 to the nearest hundred is 800 because number under 50 of the last two digits we round it below. Same thing as above 50 we round it up.
Answer:
(5,1)
Step-by-step explanation:
Given :
Solution :
Equation 1 : y=x-4
Equation 2 : y = -x+6
We will use substitution method
Putting the value of y from equation 1 in equation 2
⇒
⇒
⇒
⇒
⇒
Now substituting value of x in equation 1 to get value of y
⇒
⇒
⇒
Thus the solution of given system of equations is (5,1)
We have also solved it by graphing the equations
You can refer the attached figure.
5 Girls + 3 Boys =8 (sample size)
Probability of choosing 1 boy P(1 B) = 3/8
Probability of NOT CHOOSING ANY BOY = 1-3/8 =5/8
Now apply the binomial probability to choose 3 Boys:
8C3(3/8)³(5/8)⁵ ==>P(All boys) = 0.28
Answer:
The 95% confidence interval for the difference of the two populations means is ( 2.4, 41.6)
Step-by-step explanation:
Confidence intervals are usually constructed using the formula;
point estimate ± margin of error
In this question we are required to construct a 95% confidence interval for the difference of two populations means. The point estimate for the difference of two population means is the difference of their sample means which in this case is 22.
Assuming normality conditions are met, since we have no information on the sample sizes, the margin of error will be calculated as;
margin of error = z-score for 95% confidence * standard deviation of the difference of the sample means
The z-score associated with a 95% confidence interval is 1.96
The standard deviation of the difference of the sample means is given as 10
The 95% confidence interval for the difference of the two populations means is thus;
22 ± 1.96(10) = 22 ± 19.6 = ( 2.4, 41.6)
