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2 years ago

Let f(r) = 6, find f-¹(r)

Mathematics

1 answer:

I am Lyosha [343]2 years ago

8 0

There is no answer because there cannot be one to one function inverse.

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Select the correct answer. Which statement is correct with respect to f(x) = -3|x − 1| + 12?

Sati [7]

The correct answer is D

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3 years ago

In the early months of some year, one site added 0.2 million new accounts every day. at this rate, how many days would be need

inessss [21]

50 days needed for 10 million new account
5 days for 1 million
1 day for 0.2 million

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4 years ago

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Catalina extends a ladder 15 feet and places it diagonally on a tree to get her cat that is perched on the lowest branch Which t

Leni [432]

Answer:

Its Sine

Step-by-step explanation:

5 0

4 years ago

Rockwell hardness of pins of a certain type is known to have a mean value of 50 and a standard deviation of 1.2.a. If the distri

zalisa [80]

Answer:

$P(\= X \ge 51 ) =0.0062$

$P(\= X \ge 51 ) = 0$

Step-by-step explanation:

From the question we are told that

The mean value is $\mu = 50$

The standard deviation is $\sigma = 1.2$

Considering question a

The sample size is n = 9

Generally the standard error of the mean is mathematically represented as

$\sigma_x = \frac{\sigma }{\sqrt{n} }$

=> $\sigma_x = \frac{ 1.2 }{\sqrt{9} }$

=> $\sigma_x = 0.4$

Generally the probability that the sample mean hardness for a random sample of 9 pins is at least 51 is mathematically represented as

$P(\= X \ge 51 ) = P( \frac{\= X - \mu }{\sigma_{x}} \ge \frac{51 - 50 }{0.4 } )$

$\frac{\= X -\mu}{\sigma } = Z (The \ standardized \ value\ of \ \= X )$

$P(\= X \ge 51 ) = P( Z \ge 2.5 )$

=> $P(\= X \ge 51 ) =1- P( Z < 2.5 )$

From the z table the area under the normal curve to the left corresponding to 2.5 is

$P( Z < 2.5 ) = 0.99379$

=> $P(\= X \ge 51 ) =1-0.99379$

=> $P(\= X \ge 51 ) =0.0062$

Considering question b

The sample size is n = 40

Generally the standard error of the mean is mathematically represented as

$\sigma_x = \frac{\sigma }{\sqrt{n} }$

=> $\sigma_x = \frac{ 1.2 }{\sqrt{40} }$

=> $\sigma_x = 0.1897$

Generally the (approximate) probability that the sample mean hardness for a random sample of 40 pins is at least 51 is mathematically represented as

$P(\= X \ge 51 ) = P( \frac{\= X - \mu }{\sigma_x} \ge \frac{51 - 50 }{0.1897 } )$

=> $P(\= X \ge 51 ) = P(Z \ge 5.2715 )$

=> $P(\= X \ge 51 ) = 1- P(Z < 5.2715 )$

From the z table the area under the normal curve to the left corresponding to 5.2715 and

=> $P(Z < 5.2715 ) = 1$

$P(\= X \ge 51 ) = 1- 1$

=> $P(\= X \ge 51 ) = 0$

5 0

3 years ago

Alan solved the proportion StartFraction x over 200 EndFraction = StartFraction 8 over 25 EndFraction as shown. StartFraction x

bulgar [2K]

Answer:

Step-by-step explanation:

The proportion that Alan solved was

x/200 = 8/25

His working as shown was

(8)(x) = (25) (200)

8x = 5000

He divided both sides of the equation by 8. It became

8x/8 = 5000/8

x = 625

The correct steps are

25x = 200 × 8 = 1600

Dividing both sides of the equation by 25, it becomes

x = 1600/25

x = 64

Alan's error were:

1) He got the wrong product when he multiplied 25 by 200.

2)He got the wrong quotient when he divided 5,000 by 8.

7 0

3 years ago

Read 2 more answers