Is line AB tangent to the circle?

Diane's Tree Trimming Service has trimmed hundreds of trees in the Greater Denver area. The time it takes to trim a tree is norm

kkurt [141]

Answer: $P(28.5$ And we can find this probability with this difference:

$P(-0.7$

And in order to find these probabilities we use tables for the normal standard distribution, excel or a calculator.

$P(-0.7$

So then the best answer would be 21.82 %

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".

Solution to the problem

Let X the random variable that represent the time it takes to trim a tree of a population, and for this case we know the distribution for X is given by:

$X \sim N(32,5)$

Where $\mu=32$ and $\sigma=5$

We are interested on this probability

$P(28.5$

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: $P(28.5$ And we can find this probability with this difference:

$P(-0.7$

And in order to find these probabilities we use tables for the normal standard distribution, excel or a calculator.

$P(-0.7$

So then the best answer would be 21.82 %

8 0

3 years ago

If a diameter intersects a chord of a circle at a perpendicular, what conclusion can be made? The diameter and the chord are con

yarga [219]

Answer:

The chord is bisected ⇒ 3rd answer

Step-by-step explanation:

* Lets revise some facts in the circle to solve the problem

- A chord in a circle is the segments whose endpoints lie on the

circumference of the circle

- A diameter of a circle is a chord passes through the center of the

circle

- The diameter is the longest chord in the circle

- Any line passes through the center of the circle and perpendicular

to a chord on the circle bisects it

* Lets solve the problem

∵ The diameter of the circle passes through the center of the circle

∵ The diameter intersects a chord of a circle at a perpendicular

∴ The diameter is perpendicular to the chord

∵ Any line passes through the center of the circle and perpendicular

to a chord on the circle bisects it

∴ The diameter bisects the chord

* The chord is bisected

8 0

3 years ago

Read 2 more answers

What are the solutions to the quadratic equation x^2-16=0

maks197457 [2]

Good evening.

This is a incomplete quadratic equation, because it does not have the term bx. Therefore, we can solve this faster with the following strategy:

$\mathsf{x^2 - 16 = 0}$

Add 16 to both sides:

$\mathsf{x^2 - 16 + 16 = 0 + 16}\\ \\ \mathsf{x^2 = 16}$

Take the square root:

$\mathsf{\sqrt {x^2} = \pm\sqrt{16}}\\ \\ \mathsf{\boxed{\mathsf{x = \pm4} }}$

Therefore:

$\boxed{\boxed{\mathsf{S=\{-4, \ +4\}}}}$

4 0

3 years ago

Can someone plz tell me the answer and how to do this math problem?

olasank [31]

Start by taking away 22.36 from each side so that you are left with 4.73c = 42.57
And then divide each side by 4.73 so you will get c = 9

5 0

3 years ago

Read 2 more answers

Please help I found this one a bit confusing

Brums [2.3K]

Answer:

7.2

Step-by-step explanation:

To reach point D from point C, you need to add 4 to the x-value of point C and take away 6 from the y-value. These numbers are the sides of the hypothetical triangle.

The Pythagorean Theorem states that $a^2+b^2=c^2$ . If we plug the side lengths in for a and b, we get $4^2 + 6^2 = c^2$ . This can be simplified to $16+36=c^2$ , or $52 = c^2$ . If we root both sides, we find that c is equal to $\sqrt{52}$ , which is slightly more than 7, at around 7.2.

4 0

2 years ago