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3 years ago

12

There are 1250 students at Cypress Middle School. 42% of the students are enrolled in PE. How many students are enrolled in PE?

2 answers:

yuradex [85]3 years ago

8 0

Answer:

The answer is 525 students.

Step-by-step explanation:

1250 total students

42% = PE

42% of 1250 = $525$

Thus, the answer is 525.

slamgirl [31]3 years ago

4 0

Answer: 525 students are enrolled in PE.

Step-by-step explanation:

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Which three values are greater than 1/2? <br> 1/3<br> 45%<br> 0.62<br> 59%<br> 0.315<br> 3/4

Sloan [31]

0.62, 59%, and 3/4
these are all more than 50% which is what 1/2 is.

8 0

2 years ago

Read 2 more answers

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:

1a

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

1b

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

1c

$\= x = 41. 795$

2

$n = 25$

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

$P( Z< - 2.4 ) = 0.0081975$

So

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

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

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

Name the subsets of -17

vagabundo [1.1K]

-17

an integer is a negative or positive whole number
a rational number is a number that can be turned into a fractions...can be either positive or negative.

so ur subsets are : rational number and integer

7 0

3 years ago

Please help me I’m stuck on this.

Sidana [21]

Answer:

The cost of the game is $7 .

Step-by-step explanation:

By looking at the graph, the line at x = 4 is equals to y = 7

5 0

3 years ago

Jack scored a mean of 15 points per game in his first 3 basketball games. In his 4th game, he scored 27 points. What is his mean

timurjin [86]

His mean score for the first 4 games will be 18 points.

Explanation

In the first 3 games, the mean of the scores is 15 points . Mean is the simple average of some numbers.

So, the total score in first 3 games = $(15*3)= 45$ points

Now, in the 4th game, he scored 27 points. So, the total score in the first 4 games = $45+27= 72$ points

Thus, the average of scores in first 4 games = $\frac{72}{4} = 18$ points

So, his mean score for the first 4 games will be 18 points.

7 0

3 years ago