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uranmaximum [27]
3 years ago
14

A cargo van is carrying 20 identical steel cylinders.Each cylinder contains compressed oxygen.Altogether,the cylinders weigh 1/2

of a ton.In tons,what is the weight of each cylinder.
Mathematics
1 answer:
sergeinik [125]3 years ago
5 0
Each container is 50 pounds, forget about the second sentence it's just there to confuse you. One ton is 2,000 pounds, half of that is 1,000 lbs. 1,000 divided by 20 is 50. 50 pounds each.
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The National Center for Education Statistics surveyed a random sample of 4400 college graduates about the lengths of time requir
Paha777 [63]

Answer:

95​% confidence interval for the mean time required to earn a bachelor’s degree by all college students is [5.10 years , 5.20 years].

Step-by-step explanation:

We are given that the National Center for Education Statistics surveyed a random sample of 4400 college graduates about the lengths of time required to earn their bachelor’s degrees. The mean was 5.15 years and the standard deviation was 1.68 years respectively.

Firstly, the pivotal quantity for 95% confidence interval for the population mean is given by;

                              P.Q. =  \frac{\bar X-\mu}{\frac{\sigma}{\sqrt{n} } }  ~ N(0,1)

where, \bar X = sample mean time = 5.15 years

            \sigma = sample standard deviation = 1.68 years

            n = sample of college graduates = 4400

            \mu = population mean time

<em>Here for constructing 95% confidence interval we have used One-sample z test statistics although we are given sample standard deviation because the sample size is very large so at large sample values t distribution also follows normal.</em>

<u>So, 95% confidence interval for the population mean, </u>\mu<u> is ;</u>

P(-1.96 < N(0,1) < 1.96) = 0.95  {As the critical value of z at 2.5%

                                               level of significance are -1.96 & 1.96}  

P(-1.96 < \frac{\bar X-\mu}{\frac{\sigma}{\sqrt{n} } } < 1.96) = 0.95

P( -1.96 \times {\frac{\sigma}{\sqrt{n} } } < {\bar X-\mu} < 1.96 \times {\frac{\sigma}{\sqrt{n} } } ) = 0.95

P( \bar X-1.96 \times {\frac{\sigma}{\sqrt{n} } } < \mu < \bar X+1.96 \times {\frac{\sigma}{\sqrt{n} } } ) = 0.95

<u>95% confidence interval for</u> \mu = [ \bar X-1.96 \times {\frac{\sigma}{\sqrt{n} } } , \bar X+1.96 \times {\frac{\sigma}{\sqrt{n} } } ]

                                              = [ 5.15-1.96 \times {\frac{1.68}{\sqrt{4400} } } , 5.15+1.96 \times {\frac{1.68}{\sqrt{4400} } } ]

                                             = [5.10 , 5.20]

Therefore, 95​% confidence interval for the mean time required to earn a bachelor’s degree by all college students is [5.10 years , 5.20 years].

8 0
3 years ago
I need Help Asapp<br>Please!!!!!!!!!!!!!!!!!!​
djyliett [7]

Answer:

i know it is C last year i took that quiz and well i studied /j

Step-by-step explanation:

6 0
2 years ago
Can somebody help me?
Degger [83]
A percentage
Have a good dayyyyyy
5 0
3 years ago
What is the value of x in the equation 2x + 9 = 21?<br> O2<br> 06<br> 09<br> O 15
Taya2010 [7]

Answer:

the answer is 6

Step-by-step explanation:

2x + 9 = 21

2x = 21 - 9

2x = 12

x = 6

4 0
2 years ago
An angle measures 54° less than the measure of a supplementary angle. What is the measure of each angle?
Katen [24]
X+x+54=180
2x+54=180
2x=126
x=63
63+54=117
one angle is 63, the other is 117
8 0
3 years ago
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