Give A ={a,b,c} and B = {c, a}, which of the following is not true

Find the values of the six trigonometric functions of an angle in standard position if the point with coordinates (6,-5) lies on

Tom [10]

C i guesss because you just said it

4 0

3 years ago

If the diameter of the circle is 6 cm, find its circumference. [Use 3.14 for π.] A) 18.84 cm B) 25.12 cm C) 37.68 cm D) 50.24 cm

agasfer [191]

Circumference = π * d

π=3.14
diameter = 6

3.14 * 6 = 18.84.
The answer is A.

Hope this helped☺☺

7 0

3 years ago

Read 2 more answers

An insurance company has 25,000 automobile policy holders. If the yearly claim of a policy holder is a random variable with mean

telo118 [61]

Answer:

$P(T>8300000)=1-P(T$

Step-by-step explanation:

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 central limit theorem states that "if we have a population with mean μ and standard deviation σ and take sufficiently large random samples from the population with replacement, then the distribution of the sample means will be approximately normally distributed. This will hold true regardless of whether the source population is normal or skewed, provided the sample size is sufficiently large".

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".

Data given

n = 25000 represent the automobile policy holders

$\mu= 320$ represent the population mean

$\sigma =540$ represent the population standard deviation

Let T the variable that represent the total of interest on this case. We can assume that the random variable for an individual policy holder is given by:

$X\sim N(\mu = 540, \sigma=540)$

From the central limit theorem we know that the distribution for the sample mean $\bar X$ is given by:

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

Solution to the problem

First we need to find the distribution for the random variable T like this:

$\bar X = \frac{\sum_{i=1}^n x_i}{n}$

And the total T is given by:

$T=\sum_{i=1}^n X_i =n \bar X$

We can find the expected value, variance and deviation for this random variable like this:

$E(T)= n E(\bar X) = n \mu = 25000*320=8000000$

$Var(T)= Var(n\bar X)= n^2 Var(\bar X) = n^2 \frac{\sigma^2}{n}=n \sigma^2 =25000*(540^2)=7290000000$

$Sd(T)=\sqrt{7290000000}=85381.497$

And we are interested on this probability:

$P(T>8300000)$

And we can use the Z score formula given by:

$Z=\frac{T-E(T)}{\sigma_T}$

$P(T>8300000)=1-P(T$

6 0

3 years ago

What is the best approximation of the value of w? 1. 4 cm 4. 0 cm 6. 0 cm 7. 3 cm.

MrRissso [65]

To solve the problem we must know about Sine Rule.

The sine rule of trigonometry helps us to equate the side of the triangles to the angles of the triangles. It is given by the formula,

$\dfrac{Sin\ A}{\alpha} =\dfrac{Sin\ A}{\beta} =\dfrac{Sin\ A}{\gamma}$

where

Sin A is the angle and α is the length of the side of the triangle opposite to angle A,
Sin B is the angle and β is the length of the side of the triangle opposite to angle B,
Sin C is the angle and γ is the length of the side of the triangle opposite to angle C.

The value of w is 4.0 cm.

Given to us

VW = 3.3 cm,
∠U = 31°,
∠W = 39°,

<h3>Using the sine law,</h3>

$\dfrac{Sin\ A}{\alpha} =\dfrac{Sin\ A}{\beta} =\dfrac{Sin\ A}{\gamma}$

Substitute the values,

$\dfrac{Sin\ W}{w} = \dfrac{Sin\ U}{VW}$

$\dfrac{Sin\ 39^o}{w}=\dfrac{Sin\ 31^o}{3.3}$

$w=\dfrac{(Sin\ 39^o) \times 3.3}{Sin\ 31^o}$

w = 4.03224 cm ≈ 4.0 cm

Hence, the value of w is 4.0 cm.

Learn more about Sine Rule:

brainly.com/question/17289163

4 0

2 years ago

If you have 3 4/6. Cups of sugar then divided it by 2 cups then added 4.9 cups how many eould you have

nata0808 [166]

Answer:

11/6 or decimal 1.8333... + 4.9 = 6.733333....

Step-by-step explanation:

Simplify the following:

(3 + 2/3)/2

Express 4/6 in its lowest form by cancelling out gcd(4, 6) = 2 from the numerator and denominator. 4/6 = (2×2)/(2×3) = 2/3:

(2/3 + 3)/2

Put 3 + 2/3 over the common denominator 3. 3 + 2/3 = (3×3)/3 + 2/3:

((3×3)/3 + 2/3)/2

3×3 = 9:

(9/3 + 2/3)/2

9/3 + 2/3 = (9 + 2)/3:

((9 + 2)/3)/2

9 + 2 = 11:

(11/3)/2

11/3×1/2 = 11/(3×2):

11/(3×2)

3×2 = 6:

Answer: 11/6 or decimal 1.8333... + 4.9 = 6.733333....

5 0

3 years ago