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3 years ago

Solve. 5x – 10 < 20 (-00, 2] (-0,2) (-0, 6] (-0,6)

Mathematics

1 answer:

schepotkina [342]3 years ago

8 0

Answer:

-infinity, 6

Step-by-step explanation:

5x - 10 <= 20

5x <= 30

x <= 6

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The administration at Pierce College conducted a survey to determine the proportion of students who ride a bike to campus. Of th

8_murik_8 [283]

Answer:

The correct option is (D).

Step-by-step explanation:

To construct the (1 - α)% confidence interval for population proportion the distribution of proportions must be approximated by the normal distribution.

A Normal approximation to binomial can be applied to approximate the distribution of proportion p, if the following conditions are satisfied:

$n\hat p \geq 10$

$n ( 1 - \hat p) \geq 10$

In this case p is defined as the proportions of students who ride a bike to campus.

A sample of n = 125 students are selected. Of these 125 students X = 6 ride a bike to campus.

Compute the sample proportion as follows:

$\hat p=\frac{X}{n}=\frac{6}{125}=0.048$

Check whether the conditions of Normal approximation are satisfied:

$n\hat p =125\times 0.048=610$

Since $n\hat p$ , the Normal approximation to Binomial cannot be applied.

Thus, the confidence interval cannot be used to estimate the proportion of all students who ride a bike to campus.

Thus, the correct option is (D).

6 0

3 years ago

What are the domain and range of the function? f(x) = ^3 square x - 3

DerKrebs [107]

Step-by-step explanation:

$f(x) = \sqrt[3]{x - 3}$

The domain of a function are the values of $x$ that you can plug into the function $f(x)$ .

Values inside of a root must be non-negative, which means that $x - 3$ must be greater than or equal to zero. We can set up an equation to find the domain:

$x - 3 \geq 0$

$x \geq 3$

With this, we know the domain of the function is $[3, \inf)$ .

The range of a function are the values that $f(x)$ can have. Since the equation is a cube root, the value will always be non-negative, meaning the range of the function is $[0, \inf)$ .