Find the length of cable 1 in the diagram below​

Complete Question

It is found that on average, 9% of the population recycles its garbage. Under this assumption, if a random sample of 120 households in Iowa City is taken, would you be surprised to find that fewer than 3% of households in the sample recycle their garbage? Use the fact that p-hat has an approximately normal distribution.

Group of answer choices

A I would not be surprised because there are lots of lazy students in Iowa City.

B I would not be surprised because 3% is not that far away from 9%.

C I would be surprised because Iowa City is a very clean community which means lots of people recycle their garbage.

D I would be surprised because if the 9% average is true, the chance of a sample proportion being less than 3% is very small (only 1%). Who cares? It's only garbage!

Answer:

The correct option is D

Step-by-step explanation:

From the question we are told that

    The sample size is  n  = 120

    The  mean of the proportion is  p =  0.09

Generally the standard deviation is mathematically represented as

      [tex]\sigma  =  \sqrt{\frac{p(1-p)}{n} }[/tex]

=>   [tex]\sigma  =  \sqrt{\frac{0.09(1-0.09)}{120 } }[/tex]

=>   [tex]\sigma  = 0.02612[/tex]

Generally the chance that fewer than 3%   of households in the sample recycle their garbage is mathematically represented as

    [tex]P(X < 0.03) =  P( \frac{X - p}{\sigma}  <  \frac{0.03 -0.09}{0.02612} )[/tex]

    [tex]P(X < 0.03) =  P( Z  < -2.297 )[/tex]

From the z-table  

     [tex]P( Z  < -2.297 ) = 0.01[/tex]

=> [tex]P(X < 0.03) = 0.01/tex]

=>   [tex]P(X < 0.03) = 1\% /tex]

Answer:

24.25 in²

Step-by-step explanation:

s = (a + b + c)/2 = (8 + 13 + 7)/2 = 14 in

s - a = 6, s - b = 1, s - c = 7

so

the area = [tex]\sqrt{14\times6\times1\times7}=24.25[/tex]

Answer:

The train would travel 30km in 30 minutes.

Step-by-step explanation:

Speed of train = 60km/hr

30 minutes = I hour ÷ 2

If 30 minutes is equal to half an hour, and it takes an hour for the train to travel 60 km, then you would have to half 60 km to find the length travelled in 30 minutes.

Equation: 60km ÷ 2 = 30km

Answer:

equal quantities something...

Step-by-step explanation:

Answer: Top right and left are ACUTE, Bottom right is RIGHT, and bottom left is OBTUSE.

Answer:

the top two are acute triangles

the third(bottom left is an obtuse angle

and the last one(bottom right) is a right triangle

Step-by-step explanation:

the top angles are all under 90 degrees which is what makes them acute

the bottom left triangle has an angle greater than 90 which makes it obtuse

and the bottom right has a right angle, which makes it a right triangle

Answer:

x = -0.6

solving steps:

[tex]\sf \rightarrow 2\left(x+1\right)-4x=3x+5[/tex]

remove the parenthesis

[tex]\sf \rightarrow 2x+2\right)-4x=3x+5[/tex]

group the variables

[tex]\sf \rightarrow 2x-4x-3x\right)=5-2[/tex]

simplify

[tex]\sf \rightarrow -5x\right)=3[/tex]

change sides

[tex]\sf \rightarrow x\right)=\dfrac{3}{-5}[/tex]

answer in fraction

[tex]\sf \rightarrow x\right)=-\dfrac{3}{5}[/tex]

answer in decimals

[tex]\sf \rightarrow x\right)=-0.6[/tex]

Answer:

[tex]x=-0.6[/tex]

Step-by-step explanation:

[tex]2\left(x+1\right)-4x=3x+5\quad :\quad x=-\frac{3}{5}\quad \left(\mathrm{Decimal}:\quad x=-0.6\right)[/tex]

[tex]2\left(x+1\right)-4x=3x+5[/tex]

[tex]2(x+1)-4:-2x+2[/tex]

[tex]-2x+2=3x+5[/tex]

[tex]\mathrm{Subtract\:}2\mathrm{\:from\:both\:sides}[/tex]

[tex]-2x+2-2=3x+5-2[/tex]

[tex]\mathrm{Simplify}[/tex]

[tex]-2x=3x+3[/tex]

[tex]\mathrm{Subtract\:}3x\mathrm{\:from\:both\:sides}[/tex]

[tex]-2x-3x=3x+3-3x[/tex]

[tex]\mathrm{Simplify}[/tex]

[tex]-5x=3[/tex]

[tex]\mathrm{Divide\:both\:sides\:by\:}-5[/tex]

[tex]\frac{-5x}{-5}=\frac{3}{-5}[/tex]

[tex]\mathrm{Simplify}[/tex]

[tex]x=-\frac{3}{5}[/tex]

~Learn with Lenvy~

Answer:

x=5°

∠JIK=110°

Step-by-step explanation: From question,

20x-10+8x-20=140-6x

28x-30=140-6x

34x=170

x=170/34

x=5°

Eq. in ∠JIK,

140-30

=110°

Answer:

60.5

Thanks!

Mark me brainliest!

~[tex]FieryAnswererGT[/tex]~

Answer:

A border of 3 cm width is printed on 500 sheets of paper, each of length 40 cm and width 30 cm fit costs 50p to print 100 cm of border, find the total cost of printing the border.

Answer:

See below

Step-by-step explanation:

2.04 is neither greater nor less than 2.040

but 2.04 is equal to 2.040.

[tex]2.04=2.040[/tex]

Answer:

3.11 wax cubes

Step-by-step explanation:

Answer:

Top Right

Step-by-step explanation:

If it's x≥1, you would plot a closed (or filled) circle at 1, and it would continue going right. If it's x<1, you would plot an open (or an o) circle with a line continuing left.

The function represents f(x)={3 if x<1x if x≥1 in Figure 4 is correct.

In mathematics, a line's slope, also known as its gradient, is a numerical representation of the line's steepness and direction. There is no clear reason why the letter m is employed for slope, however its earliest use in English can be found in O'Brien (1844), who wrote the equation of the a straight line as "y = mx + b," and it can also found in Todhunter (1888), who wrote it as "y = mx + c." Slope is frequently denoted by the letter x. The ratio of the "vertical change" to the "horizontal change" between (any) two distinct points along a line is used to calculate slope. The ratio can also be written as a quotient ("rise over run"), which produces the same number for each and every two distinct points on a single line.

Here,

For x≥1 ⇒ f(x)=x

For x<1 ⇒ f(x)=3

Both these statements are followed together only in figure 4.

Hence, figure 4 is correct.

Learn more about slope from the link.

https://brainly.com/question/3493733

#SPJ2

What is the solution to the system of equations?

3x+2y = 39

5x-y = 13

(5,12)

Given that,

3x + 2y = 39......(1)

5x - y = 13.......(2)

multiplying equation 1 by 5 & 2nd by 3 ,we get,

15x + 10y = 195.......(3)

15x - 3y = 39........(4)

Subtracting equation 4th by equation 3rd,

we get,

15x + 10y = 195

-15x - 3y = 39

_____________

ㅤ ㅤ13y = 156

ㅤㅤㅤ y = 12

_____________

so , y = 12 & x = 5

_____________

hence, option 4th ⇢ (5,12) is correct ✓

Graph Attached

Option D

Answer:

-0.71

Step-by-step explanation:

Generally, a value of r greater than 0.7 is considered a strong correlation. Anything between 0.5 and 0.7 is a moderate correlation, and anything less than 0.4 is considered a weak or no correlation.

The r-value that represents the strongest correlation is -0.71.

Any of the many metrics used to describe the strength and direction of a linear relationship between two random variables is called a correlation coefficient.

So, r stands for the correlation coefficient.

Depending on the direction of the association, an r-value may be either negative or positive.

Yet, the link is greater the closer an r-value is to 1.

Here - 0.71 is closer to -1 then it is having a strongest correlation.

Learn more about correlation coefficient here:

brainly.com/question/27226153

#SPJ7

Answer:

20 yards

Step-by-step explanation:

i got 100 0n the quiz

Answer:

Fred and Jon

Ilsa and Hanna

Step-by-step explanation:

Fred has a difference of -5. Jon has a difference of + 5.

Positive and negative 5 are opposite.  

Ilsa had a difference of -3. Hanna had a difference of + 3.

Positive and negative 3 are opposite.

Answer:

x≤−8

Step-by-step explanation:

2x+3≤x−5

Step 1: Subtract x from both sides.

2x+3−x≤x−5−x

x+3≤−5

Step 2: Subtract 3 from both sides.

x+3−3≤−5−3

Answer is

x≤−8

Answer:

Step-by-step explanation:

∠E = ∠G

∠D= ∠F because it’s a parallelogram ==> D=F=2x+12 and E=G=5x

5x+2x+12=180

7x=168

X=24

Solution 2:

2*5x+2*(2x+12)=360

10x+4x+24=360

14x=360-24=336

X=336/14

X=24

Answer:

[tex]{\fbox{\fbox{\fbox{\fbox{\fbox{\fbox{\fbox{\fbox{\fbox{\fbox{\fbox{\fbox{☺☺Hope\ it\ helps\ you}}}}}}}}}}}}}[/tex]

A/Q

5x+2x+12=180(Sum of adjacent angles is 180)

=>7x+12=180

=>7x=180-12

=>x=168/7

Hence,x=24....

Answer:

x=3

Step-by-step explanation:

simplify

6x−8=3x+1

subtract 3x

3x−8=1

add 8 to each side

3x=9

divide both sides by 3

x=3

Answer:

8/7 ÷ 4/1 = 7/32

Step-by-step explanation:

4/1 is the same as 4, flip all the Fractions so the bottom number is on the top and top on bottom and then multiply top x top and bottom x bottom

Hey there!

First, let's convert 4 into a fraction:

4=4/1

Now, divide the fractions:

[tex]\bold{\displaystyle\frac{8}{7} :\frac{4}{1}}[/tex]

Now, flop the second fraction over and multiply the first fraction times the second one:

[tex]\bold{\displaystyle\frac{8}{7} *\frac{1}{4}}[/tex]

Multiply the numerator (8) times the numerator of the second fraction (1) and multiply the denominator (7) times the denominator of the second fraction (4):

[tex]\bold{\displaystyle\frac{8}{28}}}[/tex]

Also, this fraction can be reduced:

[tex]\bold{\displaystyle\frac{4}{14}}[/tex]

We can divide by 2 again.

Hence, the answer is

[tex]\boxed{\boxed{\bold{\displaystyle\frac{2}{7}} }}}[/tex]

Hope everything is clear.

Let me know if you have any questions!

:-)

#LearningDoesn'tEnd

[tex]\rule{200}{2}[/tex]

Answer:

f=3d/k

Step-by-step explanation:

Answer:

Humans and other animals get their food from plants directly or indirectly. Humans and animals are heterotrophic organisms, so they obtain their food from other organisms.

Step-by-step explanation:

∧

Answer:

From plants and other animals

Step-by-step explanation:

Got it right on my quiz haha..

Answer:

15+2y

Step-by-step explanation:

take y to the other side

Answer:

3√(17) or 12.3693

Step-by-step explanation:

x^2 = 153

take square root from both side...

√(x^2) = √(153)

then...

x=√(153)

reduce to get...

x=3√(17)

the approximation is...

12.3693

Please rate!!

Answer:

x = 3sqroot17

x ~= 12.37

Step-by-step explanation:

To use the square root property, take the square root of both sides of the equation. see image.

Sqroot17 can be simplified in radical form or a decimal approximation.

For the radical form note that 153 is 9×17.

Since 9 is a perfect square, it simplifies a little bit. see image.

Answer:

$373.12

Step-by-step explanation:

You want to set this up with the equation for compound interest which is [tex]A=P(1+\frac{r}{n})}^{nt}[/tex]. A stands for amount, P stands for principle which in this case is 350, r is rate which for this one is .065, ad n is the amount of times compounded per year, and since it is compounded semi annually you do 2 for 2 times a year. Your equation based on this information should look like this:

[tex]A=350(1+\frac{.065}{2})}^{(2)(1)}[/tex]

After working this out you get A = 373.12

$373.12

Answer:

Step-by-step explanation:

Answer:

A

Step-by-step explanation:

because problem make more sences

Answer:

A it cannot be modeled with a rectangle  

Step-by-step explanation:

Answer:

[tex]2\frac{13}{120}[/tex]

Step-by-step explanation:

**Fractions for addition and/or subtraction need equal denominators

Alike denominators in parentheses

[tex]4\frac{2}{5} -(1\frac{2}{3}+\frac{5}{8})\\4\frac{2}{5} -(1\frac{2}{3}(\frac{8}{8}) +\frac{5}{8}(\frac{3}{3} ))\\4\frac{2}{5}-(1\frac{16}{24}+\frac{15}{24})\\4\frac{3}{5} -(1\frac{31}{24} )\\4\frac{3}{5} -(2\frac{7}{24} )[/tex]

[tex]4\frac{2}{5}-2\frac{7}{24}[/tex]

Solve

[tex]4\frac{2}{5}-2\frac{7}{24} \\4\frac{2}{5}(\frac{24}{24}) -2\frac{7}{24}(\frac{5}{5})\\4\frac{48}{120}-2\frac{35}{120}\\2\frac{13}{120}[/tex]