7,539.822368615504 As a whole number

A dress is marked up 16 2/3 to a final price of 140. what is the original price

rewona [7]

163.38

hope this helped!!
will u plz give me brainliest?

6 0

3 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:

a

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

b

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

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

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

So

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

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

5 0

2 years ago

Using the pythagorean theorem, if one is given the hypotenuse of a square that is measured as15.56 inches, what would the meas

dexar [7]

15,56^2=x^2+x^2

242,1136=2x^2

x^2= 242,1136:2=121, 0568

x≈11,003

6 0

3 years ago

If bananas cost $ 0.49 per ponds, how much would 5.5 pounds cost? Round to the nearest hundredth.

insens350 [35]

Bananas are $0.49 per pound, and you want to buy 5.5 pounds of bananas.

0.49 x 5.5 = 2.695 <span>≈ 2.70
</span>
So the final answer is 2.70 dollars for 5.5 pounds of bananas.

3 0

3 years ago

PLEASE HELP

Margaret [11]

Answer:

$21

Step-by-step explanation:

First, find the price without the discount by adding 12 to 30:

30 + 12

= 42

To find the original cost of each game, divide 42 by 2

42/2

= 21

So, each game was originally $21

5 0

2 years ago