Three students want to estimate the mean backpack weight of their schoolmates. To do this, they each randomly chose 8 schoolmates and weighed their backpacks. Then as per the given sample data,

(a) The sample means of the backpacks are: 6.375,6.375,6.625

(b) Range of sample means: 0.25

(c)The true statement is: The closer the range of the sample means is to 0, the less confident they can be in their estimate.

For the first sample, mean= 6.375

For the second sample, mean= 6.375

For the third sample, mean= 6.625

Range of sample means=Maximum Mean- Minimum Mean

= 6.625 - 6.375

= 0.25

The students will estimate the average backpack weight of their classmates using sample means, the true statement is:

The closer the range of the sample means is to 0, the more confident they can be in their estimate.

Learn more about range here:

brainly.com/question/24326172

#SPJ1

6 0

2 years ago

If x) = 4x^2 + 1 and g(x) = x^2 - 5, find (f + g)(x).

Vedmedyk [2.9K]

Answer:

C. 5x² - 4

General Formulas and Concepts:

Algebra I

Composite Functions
Combining Like Terms

Step-by-step explanation:

Step 1: Define

f(x) = 4x² + 1

g(x) = x² - 5

(f + g)(x) is f(x) + g(x)

Step 2: Find (f + g)(x)

Substitute: (f + g)(x) = 4x² + 1 + x² - 5
Combine like terms: (f + g)(x) = 5x² - 4

8 0

3 years ago