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Here is a central angle that measures 1.5 radians. Select all true statements. Question 1 options: A) The area of the whole circ

KATRIN_1 [288]

Answer:

D, E

Step-by-step explanation:

The applicable formula is ...

s = rθ

so, for θ = 1.5, the arc length is 1.5 times the radius. The true statements are ...

D) The length of the arc defined by the angle is 1.5 times longer than the radius.

E) The ratio of arc length to radius is 1.5.

8 0

3 years ago

Is x^-3-5y^-2 a polynomial

KiRa [710]

Answer:

Yes, it is.

Step-by-step explanation:

A polynomial is a mathematical expression containing two or more terms.

For example, a+b is a polynomial. 2a-23b+c is also a polynomial.

Hope this helps :)

8 0

3 years ago

Read 2 more answers

Find the value of z such that the area between -z and z is 85%

Marta_Voda [28]

We want the integral of the standard normal from -z to z to be 0.85. Let's look at some standard normal tables and pick the right one.

It's easy to find the Erf one, which is the integral of the unit normal from 0 to z. That will be exactly half of the integral from -z to z. So we look for the z value corresponding to a probability of 0.425 in that table and find

z = 1.44

Answer: 1.44

[figure from Wikipedia]

8 0

4 years ago

Which is a solution of x2 – x – = 0?

Karo-lina-s [1.5K]

$x^2-x=0\\\\x(x-1)=0\iff x=0\ \vee\ x-1=0\\\\\boxed{x=0\ \vee\ x=1}$

3 0

3 years ago

The GPAs of all students enrolled at a large university have an approximately normal distribution with a mean of 3.02 and a stan

IgorLugansk [536]

Answer:

10.93% probability that the mean GPA of a random sample of 20 students selected from this university is 3.10 or higher.

Step-by-step explanation:

To solve this question, we need to understand the normal probability distribution and the central limit theorem.

Normal probability distribution

Problems of normally distributed samples are solved using the z-score formula.

In a set with mean $\mu$ and standard deviation $\sigma$ , the zscore of a measure X is given by:

$Z = \frac{X - \mu}{\sigma}$

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.

Central Limit Theorem

The Central Limit Theorem estabilishes that, for a normally distributed random variable X, with mean $\mu$ and standard deviation $\sigma$ , the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean $\mu$ and standard deviation $s = \frac{\sigma}{\sqrt{n}}$ .