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2 years ago

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:

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

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

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

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

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

= [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

2 years ago

5/8 divided by 1 1/3 in lowest form

Shtirlitz [24]

HOPE THIS WILL HELP U...

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

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

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