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elena55 [62]
2 years ago
13

I needs help please, a step by step answer

Mathematics
2 answers:
trapecia [35]2 years ago
6 0

Answer:

68

Step-by-step explanation:

Pythagorean theorem: a²+b²=c²  a²=32²   b²=60²   c²=hypotenuse²

32²+60²=c²

1024+3600= c²

4624=c²

Now, take the square root of both sides of the equation to find c

\sqrt{4624}=c

68=c

Paladinen [302]2 years ago
6 0
The answer to this question is 68.
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A random sample of 36 students at a community college showed an average age of 25 years. Assume the ages of all students at the
Pavel [41]

Answer:

98% confidence interval for the average age of all students is [24.302 , 25.698]

Step-by-step explanation:

We are given that a random sample of 36 students at a community college showed an average age of 25 years.

Also, assuming that the ages of all students at the college are normally distributed with a standard deviation of 1.8 years.

So, the pivotal quantity for 98% confidence interval for the average age is given by;

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

where, \bar X = sample average age = 25 years

            \sigma = population standard deviation = 1.8 years

            n = sample of students = 36

            \mu = population average age

So, 98% confidence interval for the average age, \mu is ;

P(-2.3263 < N(0,1) < 2.3263) = 0.98

P(-2.3263 < \frac{\bar X - \mu}{\frac{\sigma}{\sqrt{n} } } < 2.3263) = 0.98

P( -2.3263 \times {\frac{\sigma}{\sqrt{n} } < {\bar X - \mu} < 2.3263 \times {\frac{\sigma}{\sqrt{n} } ) = 0.98

P( \bar X - 2.3263 \times {\frac{\sigma}{\sqrt{n} } < \mu < \bar X +2.3263 \times {\frac{\sigma}{\sqrt{n} } ) = 0.98

98% confidence interval for \mu = [ \bar X - 2.3263 \times {\frac{\sigma}{\sqrt{n} } , \bar X +2.3263 \times {\frac{\sigma}{\sqrt{n} } ]

                                                  = [ 25 - 2.3263 \times {\frac{1.8}{\sqrt{36} } , 25 + 2.3263 \times {\frac{1.8}{\sqrt{36} } ]

                                                  = [24.302 , 25.698]

Therefore, 98% confidence interval for the average age of all students at this college is [24.302 , 25.698].

8 0
3 years ago
John is considering joining an online class music site they charge $15 per month plus 3 dollars per song if John showing how muc
Yuri [45]

Answer:

It will cost 45 dollars

Step-by-step explanation:

8 0
3 years ago
A cell phone provider offers a plan that costs ​$40 per month plus ​$0.20 per text message sent or received. A comparable plan c
GalinKa [24]
So what times .2 equals 20
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6 0
3 years ago
Read 2 more answers
Simplify (2n + 5) - (3n + 7) + (4n - 9).<br> -3n - 11<br> 3n - 11<br> -3n + 11<br> 3n + 11
Natasha2012 [34]

Answer:

(B) 3n - 11

Step-by-step explanation:

(2n + 5) - (3n + 7) + (4n - 9) = 2n + 5 - 3n - 7 +4n - 9 = 3n  - 11

3 0
3 years ago
What is the answer for 5-2+7x6-2?
sergiy2304 [10]

Answer: 43

Step-by-step explanation:

5-2+7x6-2

3+42-2

45-2

43

8 0
3 years ago
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