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3 years ago

5

Frank and his family are going to the grand opening of a circus. There is a special price on tickets this weekend. Tickets cost

$ 25 each. This is 20% of the cost of a regular price tickets

1 answer:

Art [367]3 years ago

3 0

Answer:

30 dollars

Step-by-step explanation:

20% times 25

0.20 times 25= 5

25 + 5= 30

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Write inequalities to describe the solid left (x < 0 is left) hemisphere of a sphere of radius 4 centered at the origin

Serggg [28]

The equation of the sphere centered at 0, and radius 4 is:

$\displaystyle{ x^2+y^2+z^2=4^2$ ,

note that this equation describes exactly the points of the surface of the square. That is, this is an EMPTY sphere.

The solid sphere, that is the points on the surface and all points in the inside, are given by :

$\displaystyle{ x^2+y^2+z^2 \leq 4^2$

since we want the left part of the solid part, picture 2, we add the condition x<0,

thus "the solid left (x < 0 is left) hemisphere of a sphere of radius 4 centered at the origin" is given by the system of inequalities:

$i) \displaystyle{ x^2+y^2+z^2 \leq 4^2$
$ii)x\ \textless \ 0$

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3 years ago

Read 2 more answers

The fracture strength of tempered glass averages 14 (measured in thousands of pounds per square inch) and has standard deviation

Wewaii [24]

Answer:

0.1587 = 15.87% probability that the average fracture strength of 100 randomly selected pieces of this glass exceeds 14.2.

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 normal distributions can be solved using the z-score formula.

In a set with mean $\mu$ and standard deviation $\sigma$ , the z-score 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 p-value, we get the probability that the value of the measure is greater than X.

Central Limit Theorem

The Central Limit Theorem establishes 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.

The fracture strength of tempered glass averages 14 (measured in thousands of pounds per square inch) and has standard deviation 2.

This means that $\mu = 14, \sigma = 2$

Sample of 100:

This means that $n = 100, s = \frac{2}{\sqrt{100}} = 0.2$

What is the probability that the average fracture strength of 100 randomly selected pieces of this glass exceeds 14.2?

This is 1 subtracted by the p-value of Z when X = 14.2. So

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

By the Central Limit Theorem

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

$Z = \frac{14.2 - 14}{0.2}$

$Z = 1$

$Z = 1$ has a p-value of 0.8413.

1 - 0.8413 = 0.1587

0.1587 = 15.87% probability that the average fracture strength of 100 randomly selected pieces of this glass exceeds 14.2.

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3 years ago

Help <br> ! Find x & y <br> Leave answers in simplest form

dimaraw [331]

To all of them ?what brainlies

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3 years ago

F(x) = 2x and g(x) = x + 1, find f(3) and find gf(3)

lord [1]

Answer:

6 and 7

Step-by-step explanation:

To evaluate f(3), substitute x = 3 into f(x) , that is

f(3) = 2(3) = 6

To evaluate g(f(3)), substitute f(3) = 6 into g(x)

g(6) = 6 + 1 = 7

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2 years ago

Casey rented a college astronomy textbook from an online bookstore. The 6-month rental fee for the textbook was $85. There was a

Free_Kalibri [48]

Answer: $95.20

Step-by-step explanation:

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3 years ago