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Shalnov [3]
3 years ago
11

Can someone help me with geometry . Venn diagrams and law of detachment statements .

Mathematics
1 answer:
WINSTONCH [101]3 years ago
8 0
Fffffffffffffrjrtntujngujb5ngti nbjuetnibnbtujtugtnubtnbbnrjt
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Find the slope of a line through the points (-6, 4) and (3, -4).
stich3 [128]
Do you have a picture would probably make more sense if you added one
4 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
3 years ago
A bouquet of flowers contains 10 yellow daisies and 8 white dasies.Seanna bought b bouquets.She purchased a total of 90 flowers.
Alja [10]

Answer: she bought 5 bouquets

explanation:  add the yellow and white daisies together to get 18 then do

90 ÷18=5

7 0
3 years ago
What is a denominator?
DanielleElmas [232]
<span>denominator is </span>number below the line in a common fraction.

Here's picture to show what is a denominator:


6 0
3 years ago
name three different pairs of fractions that have the same product when multiplied .explain how you got your answer
Deffense [45]
\frac{5}{10}*\frac{10}{40}=\frac{50}{400}
\frac{2}{8}*\frac{2}{4}=\frac{4}{32}
\frac{1}{4}*\frac{1}{2}=\frac{1}{8}

\frac{1}{8} is obtained by multiplying \frac{1}{2} and <span>\frac{1}{4}
</span>You basically create equivelant fractions for both 1/2 and 1/4 and multiply by each other. This way you get the same result always.
8 0
3 years ago
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