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3 years ago

What is 11.11 as a mixed number ?

Mathematics

2 answers:

zvonat [6]3 years ago

7 0

$11.11=11+0.11=11+\frac{11}{100}=\boxed{11 \frac{11}{100}}$

maks197457 [2]3 years ago

6 0

11.11 = 1111/100 and simplifies to: 11 11/100

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Suppose that 80 percent of all statisticians are shy, whereas only 15 percent of all economists are shy. Suppose also that 90 pe

Anna71 [15]

Answer:

37.21% probability that the person is a statistician.

Step-by-step explanation:

We have these following probabilities:

An 80% probability that a statistican is shy.

A 15% probability that an economist is shy.

At the gathering, a 90% probability that a person is an economist.

At the gathering, a 10% probability that a person is a statistican.

If you meet a shy person at random at the gathering. What is the probability that the person is a statistician?

This can be formulated as the following question:

What is the probability of B happening, knowing that A has happened.

It can be calculated by the following formula

$P = \frac{P(B).P(A/B)}{P(A)}$

Where P(B) is the probability of B happening, P(A/B) is the probability of A happening knowing that B happened and P(A) is the probability of A happening.

What is the probability that the person is a statistican, given that he is shy?

P(B) is the probability of the person being a statistican. So P(B) = 0.1.

P(A/B) is the probability of a statistican being shy, so P(A/B) = 0.8.

P(A) is the probability of a person being a shy. This is 15% of 90%(economists) and 80% of 10%(statisticans). So

$P(A) = 0.15*0.9 + 0.8*0.1 = 0.215$

Finally

$P = \frac{P(B).P(A/B)}{P(A)}$

$P = \frac{0.1*0.8}{0.215} = 0.3721$

37.21% probability that the person is a statistician.

3 0

3 years ago

What are the coordinates of point A?

mixer [17]

I think u forgot to put the picture

8 0

3 years ago

Read 2 more answers

Questions are in the pictures

Elan Coil [88]

The values of h and r to maximize the volume are r = 4 and h = 2

<h3>The formula for h in terms of r</h3>

From the question, we have the following equation

2r + 2h = 12

Divide through by 2

r + h = 6

Subtract r from both sides of the equation

h = 6 - r

Hence, the formula for h in terms of r is h = 6 - r

<h3>Formulate a function V(r)</h3>

The volume of a cylinder is

V = πr²h

Substitute h = 6 - r in the above equation

V = πr²(6 - r)

Hence, the function V(r) is V = πr²(6 - r)

<h3>The single critical point</h3>

V = πr²(6 - r)

Expand

V = 6πr² - πr³

Integrate

V' = 12πr - 3πr²

Set to 0

12πr - 3πr² = 0

Divide through by 3π

4r - r² = 0

Factor out r

r(4 - r) = 0

Divide through by 4

4 - r = 0

Solve for r

r = 4

Hence, the single critical point on the interval [0. 6] is r = 4

<h3>Prove that the critical point is a global maximum</h3>

We have:

V = πr²(6 - r)

and

V' = 12πr - 3πr²

Determine the second derivative

V'' = 12π - 6πr

Set r = 4

V'' = 12π - 6π* 4

Evaluate the product

V'' = 12π - 24π

Evaluate the difference

V'' = -12π

Because V'' is negative, then the single critical point is a global maximum

<h3>The values of h and r to maximize the volume</h3>

We have

r = 4 and h = 6 - r

Substitute r = 4 in h = 6 - r

h = 6 - 4

Evaluate

h = 2

Hence, the values of h and r to maximize the volume are r = 4 and h = 2

Read more about maximizing volumes at:

brainly.com/question/1869299

#SPJ1

7 0

2 years ago

Raquel and Van live in two different cities. As part of a project, they each record the lowest prices for a gallon of gas at gas

jeyben [28]

Answer:

Step-by-step explanation:

Looking at the information given, the average or mean lowest prices and standard deviations for the two cities are given. The standard deviation is a measure of variability. It is used to determine how far the values in the data are from the mean. A lower standard deviation means that the values are closer to the mean. A higher standard deviation means that the values are farther from the mean.

Since 0.07 is lower than 0.23, the correct statement that is true about their gas-price data is

Raquel's data are most likely closer to $3.42 than Van's data are to $3.78.

3 0

3 years ago

Read 2 more answers

62 is 10 times larger than what?

NARA [144]

To find a number 10 times smaller than 62 simply move the decimal point one place to the left.

The decimal point in 62 is at the end of the number. 62. becomes 6.2 if we move the decimal one place back.

5 0

3 years ago

Read 2 more answers