Please help me!!! :-(((

In the set of numbers from 1 to 10, which elements are in both the subset of even numbers, and the subset of multiples of 5?

user100 [1]

Answer:

10

Step-by-step explanation:

Let A = set of numbers from 1 - 10

A = {1, 2, 3, 4, 5, 6, 7, 8, 9, 10}

Let B = subset of A which are even numbers

B = {2, 4, 6, 8, 10}

Let C = subset of A which are multiples of 5

C = {10}

which elements are in both the subset of even numbers, and the subset of multiples of 5:

AnB means elements which appears in both set B and C

BnC = {5}

5 0

3 years ago

What is 0.907 as a percent

PIT_PIT [208]

Since 1/100 is 1% or 0.01, then 0.9 is 90/100 or 90%. 0.907 is 907/1000 (we simply have the number and do 10^(numbers in the number after the decimal) for the denominator). or 90.7% (we have a decimal because it wouldn't make sense for it to be more than 1, but we know that it's not less than 90%

7 0

4 years ago

Read 2 more answers

The lengths of text messages are normally distributed with a population standard deviation of 6 characters and an unknown popula

ryzh [129]

Answer:

The 80% confidence interval for the population mean is between 28.32 characters and 31.68 characters.

Step-by-step explanation:

We have the standard deviation for the population, so we can use the normal distribution. If we had the standard deviation for the sample, we would have to use the t-distribution.

We have that to find our $\alpha$ level, that is the subtraction of 1 by the confidence interval divided by 2. So:

$\alpha = \frac{1-0.8}{2} = 0.1$

Now, we have to find z in the Ztable as such z has a pvalue of $1-\alpha$ .

So it is z with a pvalue of $1-0.5 = 0.9$ , so $z = 1.282$

Now, find the margin of error M as such

$M = z*\frac{\sigma}{\sqrt{n}}$

In which $\sigma$ is the standard deviation of the population and n is the size of the sample.

$M = 1.282*\frac{6}{\sqrt{21}} = 1.68$

The lower end of the interval is the sample mean subtracted by M. So it is 30 - 1.68 = 28.32 characters.

The upper end of the interval is the sample mean added to M. So it is 30 + 1.68 = 31.68 characters.

The 80% confidence interval for the population mean is between 28.32 characters and 31.68 characters.

6 0

3 years ago

The equation 2y = 8x represents a proportional relationship. What is the constant of proportionality?

Sphinxa [80]

Answer:

C) 4

Step-by-step explanation:

Given equation:

$2y=8x$

The above equation represents proportional relationship.

To find the constant of proportionality.

Solution:

The equation representing proportional relationship is given by:

$y=kx$

where $k$ represents constant of proportionality.

So, in order to find the value of $k$ for the given proportionality relationship, we will solve for $y$

We have:

$2y=8x$

Solving for $y$

Dividing both sides by 2.

$\frac{2y}{2}=\frac{8x}{2}$

$y=4x$

∴ $k=4$

Thus, the constant of proportionality = 4.

4 0

4 years ago

The vertex of this parabola is at (-2,-3). When the y-value is -2, the x-value is -5. What is the coefficient of the squared ter

ra1l [238]

Answer:

The coefficient of the squared term of the equation is 1/9.

Step-by-step explanation:

We are given that the vertex of the parabola is at (-2, -3). We also know that when the y-value is -2, the x-value is -5. Using this information we want to find the cofficient of the squared term in the parabola's equation.

Since we are given the vertex, we can use the vertex form:

$\displaystyle y=a(x-h)^2+k$