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3 years ago

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:

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

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

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

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