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frutty [35]
2 years ago
15

The time that customers wait to be served at the delicatessen for a grocery store follows the uniform distribution between 0 and

7 minutes. What is the mean of this distribution?
Mathematics
1 answer:
Mariana [72]2 years ago
7 0

Answer:

3.5

Step-by-step explanation:

Let X be our random variable  in the interval [0,7]

We notice that this is a continuous random variable of uniform distribution.

The mean of expected value of a uniform random variable X is:

E(X)=\frac{(a+b)}{2}\\\\=\frac{(7+0)}{2}\\\\\\=3.5

Hence, the mean of the distribution is 3.5

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What’s the distance formula
Whitepunk [10]

Step-by-step explanation:

\text{Let}\ A(x_1,\ y_1)\ \text{and}\ B(x_2,\ y_2).\ \text{Then the distance between}\ A\ \text{and}\ B\ \text{is:}\\\\|AB|=\sqrt{(x_2-x_1)^2+(y_2-y1)^2}\\\\Example:\\\\A(2,\ 5),\ B(-1,\ 1)\\\\|AB|=\sqrt{(-1-2)^2+(1-5)^2}=\sqrt{(-3)^2+(-4)^2}=\sqrt{9+16}=\sqrt{25}=5

7 0
3 years ago
Read 2 more answers
Yogi is 6 years older than Michelle. The sum of their ages is 26. Write a system of linear equations to represent this informati
postnew [5]

Answer:

10 and 16, x+(x+6)=26

Step-by-step explanation:

Michelle has an age we don't know, so we put her age as x.

Yogi is 6 years older than her, so her age is x+6

Michelle=x

Yogi=x+6

we know both their ages equal 26. so we set it up as

x+(x+6)=26

combining like terms we get

2x+6=26

subtract 6 from both sides

2x=20

divide both sides by 2

x=10

now that we have the value for x, we plug it into their original ages

Michelle is 10, because her age is just x.

Yogi is 16, because her age is x+6

8 0
3 years ago
Is this table proportional or non-proportional?
tatyana61 [14]

Answer:

in my opinon, this table is proportional

5 0
3 years ago
Find the largest positive integer that will divide 542, 436, 398 leaving reminders 7, 11, 15 respectively
saveliy_v [14]

Answer:

17

Step-by-step explanation:

Here in this question for finding the numbers that will divide 398, 436 and 542 leaving remainder 7, 11 and 15 respectively we have to first subtract the remainder of the following. By this step we find the highest common factor of the numbers.

And then the required number is the HCF of the following numbers that are formed when the remainder are subtracted from them.

Clearly, the required number is the HCF of the numbers 398−7=391,436−11=425, and, 542−15=527

We will find the HCF of 391, 425 and 527 by prime factorization method.

391=17×23425=52×17527=17×31

Hence, HCF of 391, 4250 and 527 is 17 because the greatest common factor from all the numbers is 17 only.

So we can say that the largest number that will divide 398, 436 and 542 leaving remainders 7, 11 and 15 respectively is 17.

Note: - whenever we face such a type of question the key concept for solving this question is whenever in the question it is asking about the largest number it divides. You should always think about the highest common factor i.e. HCF. we have to subtract remainder because you have to find a factor that means it should be perfectly divisible so to make divisible we subtract remainder. because remainder is the extra number so on subtracting remainder it becomes divisible.

8 0
3 years ago
Natalie works in a department store selling clothing. She makes a guaranteed salary of $300 per week but is paid a commission on
Luba_88 [7]

Answer:  Natalie make $ 367.5 in a week  in which she made $225 in sales .

Natalie make $ ( 300+x ) in a week  in which she made $ x  in sales .

Step-by-step explanation:

Base Salary of Natalie =  $300

Also, she gets 30% of the her total sales for the week.

If total sales in a week = $225

commission = 30% of $225

= $ ( 0.30 × 225)

= $ 67.5

Natalie got = Base Salary  + Commission

= $300 + $ 67.5

= $ 367.5

∴ Natalie make $ 367.5 in a week  in which she made $225 in sales .

If total sales in a week = $x

commission = 30% of $x

= $ ( 0.30 × x)

= $ 0.30 x

Natalie got = Base Salary  + Commission

= $ ( 300+x )

∴ Natalie make $ ( 300+x ) in a week  in which she made $ x  in sales .

7 0
3 years ago
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