Write an expression for the perimeter of the triangle shown below

A gardener is planting two types of trees. Type A is three feet tall and grows at a rate of of 15 inches or year. Type B is four

Lady bird [3.3K]

In between the first year

5 0

3 years ago

Domain and range of Y=2x-1

LenaWriter [7]

Step-by-step explanation:

it would be 34y i got right answer

8 0

1 year 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

HELP 10 POINTS and brainliest! What is the value of X?<br> △MAH∼△WCF .

german

The value of x is 23.

Simply find the scale factor or what was used to dilate △MAH to produce △WCF.

Use the equation copy over the original,

$k = \frac{c}{o} = \frac{15.5}{62}$

Reduce,

$\frac{15.5}{62} = \frac{1}{4} = 0.25$

So our scale factor is ¼ or 0.25

So if we use it and multiply the corresponding side of the missing side with the original we get,

$92 \times \frac{1}{4} = 23$

Therefore 23 is our missing side! !

~~

I hope that helps you out!!

Any more questions, please feel free to ask me and I will gladly help you out!!

~Zoey

4 0

3 years ago

The ratio of pants to shots that John has is 3:7. If John has 12 pairs of pants then how many pants and shorts does he have?

madam [21]

Answer:

John has 12 pairs of pants and 28 pairs of shorts.

Step-by-step explanation:

Given that the ratio of pants to shorts that John has is 3: 7, if John has 12 pairs of pants, to determine then how many pants and shorts does he have the following calculation must be performed:

(12/3) x 7 = X

4 x 7 = X

28 = X

Therefore, John has 12 pairs of pants and 28 pairs of shorts.

6 0

3 years ago