In a survey of 600 students 80 percent said they liked pop music.How many students liked pop music

Phillip is rolling two number cubes. how many different ways can he roll the number cubes and get a sum of 5?

Greeley [361]

4+1, 3+2, 2+3, 1+4. 4 total combinations, unless 4+1 and 1+4 are the same. In that case, there are only 2, 1+4, and 2+3

8 0

3 years ago

A supermarket offers a delivery service. If a customer pays $9 per month, each delivery costs just $2. Write an equation that sh

Rzqust [24]

The linear function that models the total cost for x deliveries is:

$y(x) = 2x + 9$

-------------------

A linear function has the following format:

$y = mx + b$

In which

m is the slope, that is, the rate of change.
b is the y-intercept, that is, the value of y when x = 0.

In this problem:

Fixed cost of $9 per month, $b = 9$ .
Cost of $2 for each delivery, thus $m = 2$ .

The function for the <u>total cost for x deliveries is:</u>

$y(x) = 2x + 9$

A similar problem is given at brainly.com/question/16270359

4 0

3 years ago

Explain why the mapping diagram below represents a function.

tiny-mole [99]

Answer:

Because there is only one out put for each domain this mapping diagram is a function.

Step-by-step explanation:

Two sets are involved. There is a directional property, the relation is defined from one set called the domain on to another set called the codomain. A function is a relation that has exactly one output for each input in the domain.

6 0

3 years ago

Flow meters are installed in urban sewer systems to measure the flows through the pipes. In dry weatherconditions (no rain) the

ziro4ka [17]

Answer:

a) $\frac{(8)(30.23)^2}{20.09} \leq \sigma^2 \leq \frac{(8)(30.23)^2}{1.65}$

$363.90 \leq \sigma^2 \leq 4430.80$

Now we just take square root on both sides of the interval and we got:

$19.08 \leq \sigma \leq 66.56$

b) For this case we are 98% confidence that the true deviation for the population of interest is between 19.08 and 66.56

Step-by-step explanation:

423.6, 487.3, 453.2, 402.9, 483.0, 477.7, 442.3, 418.4, 459.0

Part a

The confidence interval for the population variance is given by the following formula:

$\frac{(n-1)s^2}{\chi^2_{\alpha/2}} \leq \sigma^2 \leq \frac{(n-1)s^2}{\chi^2_{1-\alpha/2}}$

On this case we need to find the sample standard deviation with the following formula:

$s=sqrt{\frac{\sum_{i=1}^8 (x_i -\bar x)^2}{n-1}}
And in order to find the sample mean we just need to use this formula:
[tex]\bar x =\frac{\sum_{i=1}^n x_i}{n}$