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4 years ago

Classify each angle

Mathematics

1 answer:

faltersainse [42]4 years ago

6 0

Answer:

acute: ZXB

right: WBZ, XBY, XBZ, ZBW

obtuse: YXZ,

straight: WBX, YBZ, ZBY,

not:

Step-by-step explanation:

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the value of y is inversely proportional to the value of x when y=42, x=6. what is the value when x=9

iren [92.7K]

Hello,

y=k/x
if x=6 then y=42==>42=k/6==>k=252
if x=9 then y=252/9=28

4 0

3 years ago

Which rule can be used to describe the growth of the y vales of the function y=12^x over each interval from x=-1 to x=3?

valentinak56 [21]

The function is $f(x)=12^x$ .

This means that as we get from 1 to 2, we have the following values:

$f(1)=12^1=12$ , and $f(2)=12^2=12\cdot12$ .

Similarly, if we check x=3, we have $f(3)=12^3=12\cdot12\cdot12$ .

We can see that as x changes by 1 (with greater values), y increases by a factor of 12.

Answer: multiply by 12

5 0

3 years ago

Read 2 more answers

An experiment consists of choosing an urn with the following probabilities that Urn 1, Urn 2, or Urn 3 will be chosen: 1/2, 1/4,

Alborosie

Answer:

option E

Step-by-step explanation:

let E₁ be the event of urn 1

let E₂ be the event of urn 2

let E₃ be the event of urn 3

P(E₁) = $\dfrac{1}{2}$

P(E₂) = $\dfrac{1}{4}$

P(E₃) = $\dfrac{1}{4}$

Let A be the probability of getting clear marble

P(A/E₁) = $\dfrac{14}{29}$ =0.483

P(A/E₂) = $\dfrac{11}{26}$ = 0.423

P(A/E₃) = $\dfrac{8}{20}$ = 0.4

required probability

P(E₃/A) = $\dfrac{P(E_3)P(A/E_3)}{P(A)}$

P(A) = P(E₁)P(A/E₁) + P(E₂)P(A/E₂) +P(E₃)P(A/E₃)

P(A) = 0.5 x 0.483 + 0.25 x 0.423 +0.25 x 0.4

P(A) = 0.447

now,

P(E₃/A) = $\dfrac{0.25 \times 0.4}{0.447}$

P(E₃/A) = 0.2147

hence, the correct answer is option E

7 0

4 years ago

The price of a technology stock has dropped to $9.61 today. Yesterday's price was

Lorico [155]

I think its either 1% or 2%

5 0

3 years ago

Assume that the heights of men are normally distributed with a mean of 70.270.2 inches and a standard deviation of 2.12.1 inches

Wittaler [7]

Answer:

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

$X \sim N(70.2,2.12)$

Where $\mu=70.2$ and $\sigma=2.12$

Since the disgtribution for X is normal then the distribution for the sample mean $\bar X$ is given by:

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

We can find the probability of interest we got:

$P(\bar X >71.2)=P(Z>\frac{71.2-70.2}{\frac{2.12}{\sqrt{36}}}=2.83)$

And using the complement rule and a calculator, excel or the normal standard table we got this:

$P(Z>2.83)=1-P(Z$

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 heights of a population, and for this case we know the distribution for X is given by:

$X \sim N(70.2,2.12)$

Where $\mu=70.2$ and $\sigma=2.12$

Since the disgtribution for X is normal then the distribution for the sample mean $\bar X$ is given by:

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

We can find the probability of interest we got:

$P(\bar X >71.2)=P(Z>\frac{71.2-70.2}{\frac{2.12}{\sqrt{36}}}=2.83)$

And using the complement rule and a calculator, excel or the normal standard table we got this:

$P(Z>2.83)=1-P(Z$

5 0

3 years ago

Classify each angle​

Classify each angle