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Afina-wow [57]
2 years ago
5

Suppose that a random variable X is continuously uniform between the values of 3 and 8. Find the variance of the distribution of

the sample mean of a random sample of size 26. Round your answer to four decimal places.
Mathematics
1 answer:
Korolek [52]2 years ago
5 0

The formula of the variance of the distribution of sample mean of a random variable X, which it will denoted by V(\bar{X}), is

\frac{\sigma^2_X}{n}\ ,\\

where n is the size of the sample.

Since X is continuously uniform between 3 and 8, you have

\sigma^2_X = \frac{(8-3)^2}{12} = \frac{25}{12} \ .

Therefore,  the variance wanted is  V(\bar{X} ) = \frac{25}{26\cdot12}\approx0.0801  

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3 Fred is making a fruit salad. The ratio
marusya05 [52]

Answer: 24 cups.

Step-by-step explanation:

Let be "x" the amount of cups of peaches  that Fred will need to make 60 cups of  fruit salad.

According to the information given in the exercise, you know that the ratio of cups of peaches to cups of cherries is the one shown below:

2:3

Which can also be written as a fraction:

\frac{2}{3}

Then, if he uses 2 cups of peaches and 3 cups of cherries, he will get 5 cups of fruit salad.

Knowing the above, you can set up the following proportion:

\frac{2}{5}=\frac{x}{60}

Now you must solve for "x" in order to find its value. This is:

(60)(\frac{2}{5})=x\\\\x=24

5 0
3 years ago
What is the equation of a parabola with a directrix x = 8 and focus (-8,0)
andrew11 [14]
From the given information, the parabola is a sideways parabola facing left with vertex at the origin.
Required equation is (y - 0)^2 = 4p(x - 0)
y^2 = 4px

But 0 + p = -8 => p = -8

Therefore, required equation is y^2 = 4(-8)x
y^2 = -32x
7 0
3 years ago
4/40 in its simplest form
Alexus [3.1K]

Answer:

1/10

Step-by-step explanation:

(4/40)/ (4/4) = 1/10

5 0
2 years ago
A pair of pants with a marked price of $35.00 has a discount of 20%. How much is the discount?
Rasek [7]
The answer is c.

The discount is 20% off, right? What's 20% of 35? To do that, you need to do the problem 35*.20, because .20 is equivalent to 20%. Remember how it is 20% off? That means subtract here. When you do 35*.20, you'll get 7. Now, subtract 7 from 35. 35-7=28, and your answer is in money; $28.00. :)
4 0
3 years ago
Read 2 more answers
In the morning, a group of hikers hiked 4 7/8 miles, took a break, and then hiked 1 1/2 miles. The group then stopped for lunch.
Ira Lisetskai [31]
C. hope this helps friend
8 0
2 years ago
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