PLEASE HELP ASAP!!! I dont understand

The margin of error of the random selection is 0.20

The given parameters are:

[tex]n = 420[/tex] --- the sample size

[tex]\sigma = 1.6[/tex] --- the standard deviation

[tex]\bar x = 10[/tex] --- the mean

[tex]\alpha = 99\%[/tex] --- the confidence level.

The margin of error (E) is calculated as follows:

[tex]E = z \times \sqrt{\frac{\sigma^2}{n}}[/tex]

So, we have:

[tex]E = z \times \sqrt{\frac{1.6^2}{420}}[/tex]

[tex]E = z \times \sqrt{\frac{2.56}{420}}[/tex]

The z-value for 99% confidence level is 2.576.

Substitute 2.576 for z

[tex]E = 2.576 \times \sqrt{\frac{2.56}{420}}[/tex]

[tex]E = 2.576 \times \sqrt{0.006095}[/tex]

Take square roots

[tex]E = 2.576 \times 0.0781[/tex]

Multiply

[tex]E = 0.2012[/tex]

Approximate

[tex]E = 0.20[/tex]

Hence, the margin of error is 0.20

Read more about margin of error at:

https://brainly.com/question/14396648

Answer:

7x + 2y = -6

Step-by-step explanation:

Multiply the equation with 2

2 ( y = -7x/2 - 3 )

2y = -7x - 6

7x + 2y = -6

Step-by-step explanation:

A. monomial

B. polonomial

hope it helps.

stay safe healthy and happy.

Answer:

A= monomial

B= trinomial

Answer:

Step-by-step explanation:

The prime factor representation of 150 is 2 x 3 x 5^2

Answer:

59

Step-by-step explanation:

x= tens place of number

y= ones place of number

set up equations:

"sum of the digit is 14"

sum is the result of addition

x+y=14

"Twice the tens digit exceeds the units digit by one"

2x is bigger than y by 1

if 2x is bigger, then add 1 to the opposite side to balance the equation:

2x=y+1

with 2 equations you can solve for 2 variables:

2x=y+1

2x-1=y

substitute into x+y=14

x+(2x-1)=14

3x-1=14

3x=15

x=5

------

subtitute to find y

x+y=14

5+y=14

y=9

number is 59

Answer:

100 blocks.

Step-by-step explanation:

Let x represent number of blocks built by Gage.

We have been given that Colton was 5 times as fast at building the castle than Gage, so number of blocks built by Colton would be .

We are also told that it takes 120 blocks to build the castle. Since Colton and Gage were building a castle together, so number of blocks built by both will be equal to 120.

Hope it helped!

Answer:

12+16 = 2(10+4)

Step-by-step explanation:

12+16 = 2(10+4)

Answer:

No the question iant a function

won't it be 3.2 because A square has four sides so you multiply 0.8 by 4

Answer:

geometric (each term is multiplied by 3)

Step-by-step explanation:

Answer:

15 Nachos and 23 Powerades were sold.

Brainliest is appreciated. (The crown)

Answer:

12x

Step-by-step explanation:

cuz i said so

Answer:

<m is equal to the measure of <Z

_______________________________________

Hope this helps!!

Please tell me if I have made a mistake!!

I enjoy learning form them:)

Answer:

b

Step-by-step explanation:

ive never seen the word less than steep used but ik none of the other ones are right and that it moves down vertically by 4

Answer:

Terminating

Step-by-step explanation:

A terminating decimal (0.1) ends and does not continue

A repeating decimal (0.11111...) continues infinitely

Answer:

b

Step-by-step explanation:

...

Answer:

2x-3 = 67

2x = 67+3

2x = 70

x = 35

Answer:

x= 35

Step-by-step explanation:

[tex](1)... \frac{x}{5} = 2 \\ x = 5 \times 2 \\ x = 10 \\ (2).. \frac{a}{3} + 1 = 3 \\ \frac{a + 3}{3} = 3 \\ a + 3 = 9 \\ a = 9 - 3 = 6 \\ (3) \: \: \frac{p}{4} - 1 = 2 \\ \frac{p - 4}{4} = 2 \\ p - 4 = 8 \\ p = 8 + 4 = 12[/tex]

[tex](4) \frac{2x}{5} = 7 \\ 2x = 35 \\ x = \frac{35}{2} = 17.5[/tex]

Answer:

follow me on the gram (andrewa223) also the answer is a

Step-by-step explanation:

600-40x6=

40x6=240

600-240=360

Answer: 360 (mL) Remain in the jug after 6 seconds.

Hope This Helps.

Answer:

Answer:

Speed of the wave in the string will be 3.2 m/sec

Explanation:

We have given frequency in the string fixed at both ends is 80 Hz

Distance between adjacent antipodes is 20 cm

We know that distance between two adjacent anti nodes is equal to half of the wavelength

So \frac{\lambda }{2}=20cm

2

λ

=20cm

\lambda =40cmλ=40cm

We have to find the speed of the wave in the string

Speed is equal to v=\lambda f=0.04\times 80=3.2m/secv=λf=0.04×80=3.2m/sec

So speed of the wave in the string will be 3.2 m/sec

Answer:

C

Step-by-step explanation: looks right

dont  trust it though

Answer:

x=1

y=-1

Step-by-step explanation:

they have already isolated y in both equations

label both equations

y=-x............1

y=3x-4........2

sub 1 into 2

-x=3x-4

-x-3x=-4

-4x=-4

x=1........ 3

sub 3 into 1

y=-(1)

y=-1

Answer:

12 boys, 36 girls

Step-by-step explanation:

We can use systems of equations to solve this using substitution.

Let b = # of boys in the class

Let g = # of girls in the class

b + g = 48

g=3b

b+(3b)=48

4b=48

b=12

12*3=36

Check:

36+12=48

Answer:

See below:

Step-by-step explanation:

Hello! I hope you are having a nice day!

We can solve this problem in a single step, that is using theory and a bit of algebra/elementary math.

We can start off by looking at the problem. We see that angles UOT and angle TOS both add up to 180 degrees

Since we know this, we can form the equation [tex]<TOS=180-128[/tex]

Therefore, we know that <TOS is 52 degrees.

We can test this by adding up 52 and 128 and we should get 180.

[tex]128+52=180?\\180=180[/tex]

Therefore, [tex]<TOS=52[/tex] degrees.

Answer:

8

Step-by-step explanation:

88888888888888888888888888888888888

Answer:

$190

Step-by-step explanation:

he spent 3/7·(280), or $120 on a present

he spent 1/4·(280), or $70 on a meal

he spent $190 altogether