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Angelina_Jolie [31]

3 years ago

6

What is the equation of the described circle? A) (x − 2)2 + (y + 3)2 = 58 B) (x − 2)2 + (y + 3)2 = 68 Eliminate C) (x + 2)2 + (y

− 3)2 = 58 D) (x + 2)2 + (y − 3)2 = 68

1 answer:

SIZIF [17.4K]3 years ago

8 0

Answer:

Step-by-step explanation:

64

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Find the missing dimension of the cylinder. Round your answer to the nearest hundredth.

ivann1987 [24]

Answer:

The missing dimension, radius = 6.00 m

Step-by-step explanation:

We are given the following things:

Height of cylinder, $h$ = 15 m

Radius of cylinder, $r = z$ m (Labelled as $z$ )

Volume of cylinder, $V = 1696.5\ m^{3}$

Please refer to the image attached for the dimensions of cylinder as given.

We know that the volume of a cylinder can be given as:

$V = \pi r^{2} h$

Where $r$ is the radius of cylinder

$h$ is the height of cylinder

Putting the values of $V, r \text{ and } h$ :

$1696.5 = \pi z^{2} \times 15\\\Rightarrow z^{2} = 36.01\\\Rightarrow z = 6.00\ m$

Hence, The missing dimension, radius = 6.00 m

6 0

3 years ago

a) A large hotel in Miami has 900 rooms (all rooms are equivalent). During Christmas, the hotel is usually fully booked. However

Olegator [25]

Answer:

14.69% probability that this happens

Step-by-step explanation:

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

Normal probability distribution

When the distribution is normal, we use 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 $s = \frac{\sigma}{\sqrt{n}}$ .

For a skewed variable, the Central Limit Theorem can also be applied, as long as n is at least 30.

For a proportion p in a sample of size n, the sampling distribution of the sample proportion will be approximately normal with mean $\mu = p$ and standard deviation $s = \sqrt{\frac{p(1-p)}{n}}$

1000 people were given assurance of a room.

This means that $n = 1000$

Let us assume that each customer cancels their reservation with a probability of 0.1.

So 0.9 probability that they still keep their booking, which means that $p = 0.9$

Probability more than 900 still keeps their booking:

$n = 1000, p = 0.9$

So

$\mu = 0.9, s = \sqrt{\frac{0.9*0.1}{1000}} = 0.0095$

901/1000 = 0.91

So this is 1 subtracted by the pvalue of Z when X = 0.91.

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

By the Central Limit Theorem

$Z = \frac{0.91 - 0.9}{0.0095}$

$Z = 1.05$

$Z = 1.05$ has a pvalue of 0.8531

1 - 0.8531 = 0.1469

14.69% probability that this happens

3 0

2 years ago

What is the degree of the polynomial?<br> 5x^3<br><br> 0<br> 1<br> 2<br> 3

Trava [24]

I guess it is d: three

4 0

3 years ago

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if you reflect any shape across the x-axis and then rotate it 90 degrees clockwise about the origin, do you get the same results

vampirchik [111]

it is easy 90x+90y then divide by 4

Step-by-step explanation:

7 0

2 years ago

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100 BRAINLY POINTS!!!!!!

Ipatiy [6.2K]

THE FLAT FEE OF $60 WOULD BE THE Y INTERCEPT BECAUSE THE $5 IS A RATE OF CHANGE DEPENDENT ON THE AMOUNT OF GIGABYTES THE PERSON USES.

8 0

2 years ago

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