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3 years ago

What are not a benchmark fraction

Mathematics

1 answer:

kvasek [131]3 years ago

4 0

Answer:

0/4, 0/6 those are examples of non benchmark fractions. 1/2 is a benchmark fraction.

Step-by-step explanation:

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The amount of time required for an oil and filter change on an automobile is normally distributed with a mean of 45 minutes and

Firdavs [7]

Answer:

$P(39 < X < 48 ) = 0.8767$

95% of all sample means will fall between $40.1 < \mu < 49.9$

$\= x = 41. 795$

$n = 25$

Step-by-step explanation:

From the question we are told that

The mean is $n = 45$

The population standard deviation is $\sigma = 10$

The sample size is n = 16

Generally the standard error of the mean is mathematically represented as

$\sigma_{x} = \frac{ \sigma}{\sqrt{n} }$

=> $\sigma_{x} = \frac{ 10 }{\sqrt{16 } }$

=> $\sigma_{x} = 2.5$

Generally the probability that the sample mean will be between 39 and 48 minutes is

$P(39 < X < 48 ) = P( \frac{ 39 - 45}{ 2.5} < \frac{X - \mu }{\sigma } < \frac{ 48 - 45}{ 2.5} )$

=> $P(39 < X < 48 ) = P(-2.4 < Z< 1.2 )$

=> $P(39 < X < 48 ) = P( Z< 1.2 ) - P(Z < -2.4)$

From the z table the area under the normal curve to the left corresponding to 1.2 and -2.4 is

=> $P( Z< 1.2 ) = 0.88493$

and

$P( Z< - 2.4 ) = 0.0081975$

$P(39 < X < 48 ) = 0.88493 -0.0081975$

=> $P(39 < X < 48 ) = 0.8767$

From the question we are told the confidence level is 95% , hence the level of significance is

$\alpha = (100 - 95 ) \%$

=> $\alpha = 0.05$

Generally from the normal distribution table the critical value of is

$Z_{\frac{\alpha }{2} } = 1.96$

Generally the margin of error is mathematically represented as

$E = Z_{\frac{\alpha }{2} } * \frac{\sigma }{\sqrt{n} }$

=> $E = 1.96 * 2.5$

=> $E =4.9$

Generally the 95% of all sample means will fall between

$\mu -E < and \mu +E$

=> $45 -4.9\ and \ 45 + 4.9$

Generally the value which 90% of sample means is greater than is mathematically represented

$P( \= X > \= x ) = 0.90$

=> $P( \= X > \= x ) = P( \frac{\= X - \mu }{ \sigma_x} > \frac{\= x -45 }{ 2.5} ) = 0.90$

=> $P( \= X > \= x ) = P( Z > z ) = 0.90$

Generally from the z-table the critical value of 0.90 is

$z = -1.282$

$\frac{\= x -45 }{ 2.5} = -1.282$

=> $\= x = 41. 795$

Considering question 2

Generally we are told that the standard deviation of the mean to be one fifth of the population standard deviation, this is mathematically represented as

$s = \frac{1}{5} \sigma$

Generally the standard deviation of the sample mean is mathematically represented as

$s = \frac{\sigma }{ \sqrt{n} }$

=> $\frac{1}{5} \sigma = \frac{\sigma }{ \sqrt{n} }$

=> $n = 5^2$

=> $n = 25$

5 0

2 years ago

In July, 3/5 of the 160 babies born in an area hospital were girls. Seventy of the babies weighed 8 pounds or more. Fifty boys w

mars1129 [50]

Imma guess the middle one

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3 years ago

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2(x+10)+10-4+5<br><br> How can I solve this

Taya2010 [7]

Answer:

start witg parentecees, then multiplication then addind and substracting

Step-by-step explanation:

2(x+10)+10-4+5 = 2x + 20 +10 -4 +5

2x+31 is the final answer

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3 years ago

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PLEASE HELP me with this <3

babunello [35]

Answer:

Step-by-step explanation:

410 ft i think

8 0

2 years ago

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Describe an everyday situation between relations that is not a function.

Tatiana [17]

One example is if a guy studied 8 hours a day and score 75 marks and another studied 8 hours and scored 95 marks.

<h3>What are relations and functions? </h3>

A function is a relation that states that each input should have only one output (or) a special type of relation (a collection of ordered pairs) that follows a rule, i.e., every X-value should be connected with only one y-value.

The Cartesian product is a subset of it. Alternatively, a collection of points (ordered pairs). In other words, the collection of the ordered pair is defined as the relationship between the two sets, where the ordered pair is generated by the object from each set.

One example of an everyday situation between relations that is not a function is if a guy studied 8 hours a day and score 75 marks and another studied 8 hours and scored 95 marks.

To know more about relations and functions follow

brainly.com/question/25638609

#SPJ1

5 0

2 years ago