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polet [3.4K]
2 years ago
5

Question 1-2

Mathematics
1 answer:
Leya [2.2K]2 years ago
4 0

Answer:

<em>V≈</em><em>1047.2</em>

Step-by-step explanation:

<em>FORMULA = π X r2 * H/3 </em>

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10. Given a = 7, b = 6, and c = 10, use the Law of Cosines to solve for A. Round your answer to the nearest degree.
tia_tia [17]

Answer:

10) 44° (nearest degree)

11) 136.6 units² (nearest tenth)

12) 47.8 units² (nearest tenth)

Step-by-step explanation:

Please see the attached pictures for the full solution.

6 0
3 years ago
Paul deposits $5000 in a bank which pays a compound interest rate of 5% per
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$4866.61

Step-by-step explanation:

3 0
3 years ago
A complex number is a number that can be written in the form a + bi, where a and b are real numbers. In the complex number 4 + 2
IRISSAK [1]

Answer:

In the complex number 4 + 2i, 4 is the <em>real </em>part. In the complex number 4 + 2i, 2 is the <em>imaginary </em>part.

Step-by-step explanation:

The two parts of the complex number are called the <em>real</em> part and the <em>imaginary</em> part. The imaginary part is identified by its multiplier of <em>i</em>.

In the given number, the 2 is multiplied by i, so 2 is the imaginary part. The other part, 4, is the real part.

6 0
2 years ago
Read 2 more answers
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
15/35 in simplest form
Aleksandr-060686 [28]
Find the GCF of 15 and 35
15=3*5
35=7*5
The Greatest Common Factor here is 5
Divide both the numerator and denominator by this value to get the simplest form.
15/5=3
35/5=7
Final answer: 3/7
5 0
3 years ago
Read 2 more answers
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