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2 years ago

"Which describes the slope of this line?

Mathematics

2 answers:

kumpel [21]2 years ago

7 0

<span>the slope of this line is </span>zero slope

Makovka662 [10]2 years ago

3 0

That would be a zero slope.

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The distribution of weights of United States pennies is approximately normal with a mean of 2.5 grams and a standard deviation o

stich3 [128]

Answer:

a) $P(X$

b) $\bar X \sim N(2.5, \frac{0.03}{\sqrt{10}}=0.00948)$

c) $P(\bar X$

And using a calculator, excel or the normal standard table we have that:

$P(Z$

d) Figure attached

e) If we don't know the distribution then we can't ensure that the sample mean would be distributed like this:

$\bar X \sim N(\mu, \frac{\sigma}{\sqrt{n}})$

And we can't estimate the probabilities on a easy way.

Step-by-step explanation:

Previous concepts

Normal distribution, is a "probability distribution that is symmetric about the mean, showing that data near the mean are more frequent in occurrence than data far from the mean".

The Z-score is "a numerical measurement used in statistics of a value's relationship to the mean (average) of a group of values, measured in terms of standard deviations from the mean".

Part a

Let X the random variable that represent the weights of a population, and for this case we know the distribution for X is given by:

$X \sim N(2.5,0.03)$

Where $\mu=2.5$ and $\sigma=0.03$

We are interested on this probability

$P(X$

And the best way to solve this problem is using the normal standard distribution and the z score given by:

$z=\frac{x-\mu}{\sigma}$

If we apply this formula to our probability we got this:

$P(X$

And we can find this probability on this way:

$P(-0.50$

Part b

Since the distribution for X is normal then the distribution for the sample mean is:

$\bar X \sim N(\mu, \frac{\sigma}{\sqrt{n}})$

$\bar X \sim N(2.5, \frac{0.03}{\sqrt{10}}=0.00948)$

Part c

$P(\bar X$

And using a calculator, excel or the normal standard table we have that:

$P(Z$

Part d

See the figure attached the deviation for the sample mean is lower for this reason we have the pattern in the graph attached.

Part e

If we don't know the distribution then we can't ensure that the sample mean would be distributed like this:

$\bar X \sim N(\mu, \frac{\sigma}{\sqrt{n}})$

And we can't estimate the probabilities on a easy way.

4 0

2 years ago

What is the approximate value of q ? q+log26=2q+2

krek1111 [17]

Attached the solution with work shown.

5 0

2 years ago

Solve the following proportion for x 3/8 =x/13

zhenek [66]

The value of x in the proportion is x = 39/8

<h3>How to solve the proportion?</h3>

The proportion is given as:

3/8 =x/13

Cross multiply

8 * x = 3 * 13

Evaluate

8x = 39

Divide by 8

x = 39/8

Hence, the value of x in the proportion is x = 39/8

Read more about proportions at:brainly.com/question/1781657

#SPJ1

7 0

1 year ago

Find the equation of a straight line passing throught the point listed and having the given gradient. Express your answer in the

Igoryamba

First let's try to find the equation in this form : <span>y = mx + c

The gradient is given 3 . In a line's equation, x's coefficient represents the line's gradient.

So equation of a line with the gradient of 3, would look like this ;

</span> $y= 3x + c$
<span>
Now a point that the line passes through is given, (1, 2)

This point's x-coordinate is 1 and y-coordinate is 2.

So we'll plug its x-coordinate value in the equation and also y-coordinate value. So we can solve it.

As you know, </span> $x=1$ and $y=2$

$y = 3x + c$

$2\quad =\quad 3\cdot 1+c\\ \\ 2\quad =\quad 3+c\\ \\ 2-3\quad =\quad c\\ \\ -1\quad =\quad c$

We found c = -1

Also in a line's equation, c is constant and it represents the line's y-intercept

So let's build the line's equation.

$m=3$ and $c=-1$

$y= mx + c$

$y= 3x -1$

We found the line's equation in this form, $y= mx + c$

Now let's turn it into this form, $ax + by + c = 0$

$y\quad =\quad 3x-1\\ \\ y-3x\quad =\quad -1\\ \\ y-3x+1\quad =\quad 0\\ \\ -3x+y+1\quad =\quad 0$

Final answers,

$\boxed { y\quad =\quad 3x-1 }$

and

$\boxed { -3x+y+1\quad =\quad 0 }$

I hope this was clear enough :)

<span>

</span>

5 0

3 years ago

Read 2 more answers

if rectangle ABCD was reflected over the y-axis, reflected over the x-axis, and rotated 180 degrees, where would point A lie.

cupoosta [38]

Answer: Point A would be at (1,-1)

3 0

2 years ago