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3 years ago

Question 11 please solve

Mathematics

2 answers:

valina [46]3 years ago

6 0

You will need 4 segments to connect adjacent points, and another additional two segments to connect opposite points.

We can conclude that you will need 6 segments to connect each point to every other point.

joja [24]3 years ago

5 0

8 segments
4+2= 8
the answer is 8 4 plus 2 equals 8 even if the circle has four dots you draw four more which equals 8 either one

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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

4 years ago

Which pair of fractions is equivalent to this pair 2/3 and 5/8

Marianna [84]

It is 16/24 and 15/24

6 0

3 years ago

on an average a bakery sells 44 chocolate cakes every 4 days at this rate about how many chocolate cakes can the bakery sell in

zubka84 [21]

Okay. First things first, we can find the unit rate of chocolate cakes that the bakery sells. 44 chocolate cakes are sold in 4 days. 44/4 is 11. 11 chocolate cakes are sold per day. Now, we can multiply that total by 8 to get the total for 8 days. If you know basic multiplication, this one's simple. 11 * 8 is 88. There. The bakery can sell 88 chocolate cakes in 8 days.

7 0

3 years ago

Your cell phone company charges $29.99 a month plus $0.25 for each text message sent. You have budgeted no more than $35.00 for

zaharov [31]

Maximum 20 texts
Minimum 0 texts

0 less than or equal to x less than or equal to 20

8 0

3 years ago

Rahul has a farm he wishes to fence. The farm is the pentagon ABCDE, shown

Daniel [21]

The diagram of the pentagon is missing, so i have attached it.

Answer:

|AE| = 130 m

|DE| = 150 m

Perimeter of pentagon = 720 m

Step-by-step explanation:

From the diagram, we can find AE from pythagoras theorem;

|AE| = √(|AA'|² + 50²)

Where AA' is the length from A to the perpendicular angle.

Now, AB = 150, and A'B is parallel to 30 m. Thus, A'B = 30

AA' = AB - A'B = 150 - 30

AA' = 120

Thus;

|AE| = √(120² + 50²)

|AE| = √(14400 + 2500)

|AE| = √16900

|AE| = 130

Similarly,

|DE| = √(|DD'|² + |ED'|²)

ED' = BC - 50

ED' = 140 - 50

ED' = 90

Also, DD' is parallel to AA' and is = 120

Thus;

|DE| = √(120² + 90²)

|DE| = √22500

|DE| = 150

Perimeter of pentagon = 150 + 130 + 150 + 150 + 140 = 720

4 0

3 years ago