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2 years ago

JO. Jeff buys 3 boxes of cereal for $2.99 each a gallon of

1 answer:

kramer2 years ago

6 0

First add up the total of the food. Then, multiply it by .2 (20%), and subtract that number from your total. You will get the price Jeff paid for his food.

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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

2 years ago

Can someone help me with this- (WILL GIVE BRAINLIEST)

stiks02 [169]

Answer:

2) No function

3) Function: y=30x

Domain: x≥0

Range: y≥0

4) Function: y=160

Domain: x≥20

Range: y=160

Step-by-step explanation:

7 0

2 years ago

Help pls!<br><br>Give some examples of taxation:

bezimeni [28]

Answer:

IN THE EXPLANATION!!

Step-by-step explanation:

income tax. Capital gains tax is a tax on the sale of an investment, usually stocks, bonds, precious metals and property.

Payroll tax. FICA tax is a tax levied in the United States to fund Social Security and Medicare. ...

Property taxes. Most property taxes charge for both the value of the land and the value of any buildings or other improvements on the land.

Consumption taxes. A general tax refers to a tax that applies to all or most goods and services and where all are taxed at the same rate.

6 0

2 years ago

Read 2 more answers

Guys, I have a life question.

gladu [14]

you should go make new friends because you

are lonely and have no friends

6 0

2 years ago

The quadrilateral TOMA on a coordinate plane has the following characteristics.

guapka [62]

Answer:

trapezoid

Step-by-step explanation:

y = 4x slope = 4

y' = 4x -16 slope = 4

TA // OM

TA: -1 ≤ x ≤ 0 (limited value)

OM: 3 ≤ x ≤ 5

TA and OM limited in different range, their length is not equal

The shape is a trapezoid

7 0

2 years ago