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Harrizon [31]
2 years ago
5

What is the value of 16- a when a = 9​

Mathematics
2 answers:
Allisa [31]2 years ago
5 0

7 if a = 9 the 16-9=7

grandymaker [24]2 years ago
5 0

Answer:

7

Step-by-step explanation:

given that

16- a

when a = 9

therefore

16 - 9

= 7

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Construct a​ 99% confidence interval for the population​ mean, mu. Assume the population has a normal distribution. A group of 1
Zarrin [17]

Answer:

99% confidence interval for the population​ mean is [19.891 , 24.909].

Step-by-step explanation:

We are given that a group of 19 randomly selected students has a mean age of 22.4 years with a standard deviation of 3.8 years.

Assuming the population has a normal distribution.

Firstly, the pivotal quantity for 99% confidence interval for the population​ mean is given by;

         P.Q. = \frac{\bar X - \mu}{\frac{s}{\sqrt{n} } } ~ t_n_-_1

where, \bar X = sample mean age of selected students = 22.4 years

             s = sample standard deviation = 3.8 years

             n = sample of students = 19

             \mu = population mean

<em>Here for constructing 99% confidence interval we have used t statistics because we don't know about population standard deviation.</em>

So, 99% confidence interval for the population​ mean, \mu is ;

P(-2.878 < t_1_8 < 2.878) = 0.99  {As the critical value of t at 18 degree of

                                                freedom are -2.878 & 2.878 with P = 0.5%}

P(-2.878 < \frac{\bar X - \mu}{\frac{s}{\sqrt{n} } } < 2.878) = 0.99

P( -2.878 \times {\frac{s}{\sqrt{n} } } < {\bar X - \mu} < 2.878 \times {\frac{s}{\sqrt{n} } } ) = 0.99

P( \bar X -2.878 \times {\frac{s}{\sqrt{n} } < \mu < \bar X +2.878 \times {\frac{s}{\sqrt{n} } ) = 0.99

<u>99% confidence interval for</u> \mu = [ \bar X -2.878 \times {\frac{s}{\sqrt{n} } , \bar X +2.878 \times {\frac{s}{\sqrt{n} } ]

                                                 = [ 22.4 -2.878 \times {\frac{3.8}{\sqrt{19} } , 22.4 +2.878 \times {\frac{3.8}{\sqrt{19} } ]

                                                 = [19.891 , 24.909]

Therefore, 99% confidence interval for the population​ mean is [19.891 , 24.909].

6 0
3 years ago
5.3x10 4 in standard form.
valina [46]

Answer:

5.3× 10⁴= ?

Step-by-step explanation:

10⁴ can also be written as 10×10×10×10= 10000

so, 5.3 × 10000= 53000

8 0
3 years ago
5/8 divided by 1 1/3 in lowest form
Shtirlitz [24]

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6 0
3 years ago
Read 2 more answers
Which is a solution to the system of inequalities? y≤-1/2x+3 y≥x+1
Serggg [28]

Answer:

y≤-1/2(x=4)+3

Step-by-step explanation:

4 0
2 years ago
Urgent!!!!pleasehelp
gavmur [86]

Answer:

y + 2 = -2(x - 3)^2

Step-by-step explanation:

We can see immediately that the vertex is at (3, -2).  

The vertex form of the equation of a parabola is

y - k = a(x - h)^2.

If the parabola opened upward, the equation would be y + 2 = 2(x - 3)^2.  But seeing that this particular parabola opens downward, the equation is

y + 2 = -2(x - 3)^2.

Check:  Does the point (2, -4) satisfy this equation?

-4 + 2 = -2(2 - 3)^2 becomes -2 = -2(-1)^2, which is true.

3 0
3 years ago
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