The amount of fast fashion waste (w) produced by city with a population (x)
is given by W=f(x). Waste is measured in tons per season (autumn/winter,
or spring/summer) and population is measured in thousand of people. The
city of Dunwoody, Georgia has a population of 53,300 and produces 5 tons
of waste fashion during the autumn/winter season. Express this in terms of
(f) and write a statement explaining what the means

Answer:

780

Step-by-step explanation:

In this example we will call Original Price = y

72%=0.72

218.40=0.72*y

1-0.72=0.28

218.4÷0.28=780

Answer:

$63

Step-by-step explanation:

Penny = $0,01

Nickel = $0.05

Dime = $0.1

Quarter= $0.25

Number of pennies = 6*50 = 300

Number of nickels = 5*40= 200

Number of dimes = 4*50= 200

Number of quarters = 3*40 = 120

The total amount of money:

300*0.01+ 200*0.05 + 200*0.1 + 120*0.25 = $63

Answer:

answer: 16

because 16/20 is an equivalent fraction to 4/5 hope that helps!

Answer:

\(2<p<6\)

Step-by-step explanation:

If it is less than \(6\), it must have \(p<6\).

If it is greater than \(2\), it must have \(2<p\).

We can combine these inequalities to get \(\boxed{2<p<6}\).

The graph is left as an exercise to the reader.

Answer:

Step-by-step explanation:

slope = y2-y1/x2-x1

Given the coordinates (k,6k) and (3k,10k)

x1 = k

y1 = 6k

x2 = 3k

y2 = 10k

Substitute

slope = 10k-6k/3k-k

slopw = 4k/2k

slope = 4/2

slope  = 2

Hence the slope of the line is 2

Answer:

you would get 26 each

Step-by-step explanation:

For X ≤ 15, n = 20, π = .70 ; compound event probability is approximately 0.0008 .

For X > 8, n = 11, π = .65 ; compound event probability is  approximately 0.9198.

For X ≤ 1, n = 13, π = .40 ; compound event probability is  approximately 0.6646 .

a. To calculate the probability of the event X ≤ 15, n = 20, π = .70, we will use the binomial distribution formula:

P(X ≤ 15)

=  ∑_(k=0)¹⁵〖(20Ck)(0.70)^k (0.30)^(20-k) 〗

Using a binomial distribution calculator, we can find this probability to be approximately 0.0008 (rounded to 4 decimal places).

b. To calculate the probability of the event X > 8, n = 11, π = .65, we will first find the probability of X ≤ 8, and then subtract this value from 1 to find the complement probability:

P(X > 8) = 1 - P(X ≤ 8)

= 1 - ∑_(k=0)⁸〖(11Ck)(0.65)^k (0.35)^(11-k)〗

Using a binomial distribution calculator, we can find the probability of X ≤ 8 to be approximately 0.0802.

Therefore, the probability of X > 8 is approximately 0.9198 (rounded to 4 decimal places).

c. To calculate the probability of the event X ≤ 1, n = 13, π = .40, we will use the binomial distribution formula:

P(X ≤ 1)

= ∑_(k=0)¹〖(13Ck)(0.40)^k (0.60)^(13-k)〗

Using a binomial distribution calculator, we can find this probability to be approximately 0.6646 (rounded to 4 decimal places).

For more such questions on event probability visit:

https://brainly.com/question/30390037

#SPJ8

The length of side AD is,

⇒ AD = 16

We have to given that;

The given figure is a right triangular prism.

In the prism:

• DF = 22 in.

• EG = 11 in.

• Volume of the prism = 1936 cubic in.

Since, Volume of right triangular prism is,

V = 1/2 (bh) x L

Substitute all the values we get;

V = 1/2 (22 × 11) × AD

1936 = 121 × AD

AD = 16

Thus, The length of side AD is, 16

Learn more about the multiplication visit:

https://brainly.com/question/10873737

#SPJ1

Answer:

All the engine fan blades must be replaced

Step-by-step explanation:

From the question we are told that:

Sample size \(n=71\)

\(\sigma^2 = 0.18 mm2\)

Variance \(s^2=0.32\)

Level of significance \(\alpha =0.01\)

Generally the hypothesis is

The test hypothesis is

Null \(H_0:\sigma^2<=0.18\)  

Alternative \(Ha:\sigma^2>0.18\)

Generally the equation for Chi distribution  is mathematically given by

The test statistic is  

\(X^2 = \frac{(n-1)*s^2}{\sigma^2}\)  

\(X^2={70*0.32}{0.18}\)  

\(X^2= 124.4\)

Since

Critical Value

\(C_{\alpha, df}=C_{0.99 , 70}\)

\(C_{0.99 , 70} =100.4252\)

Hence, we Reject \(H_0\) ,Given that 124.4 is Greater than 100.4252

Therefore

All the engine fan blades must be replaced

Answer:

Find the value of x and y in coordinate form, that'll be the point of intersection.

Question 1

\({ \rm{y = {x}^{2} - 3x + 4 }} \\ { \boxed{ \tt{but \: y = x + 1 \: }}} \\ \\ { \rm{(x + 1) = {x}^{2} - 3x + 4 }} \\ \\ { \rm{ {x}^{2} - 4x + 3 = 0 }} \\ \\ { \rm{(x - 3)(x - 1) = 0}} \\ \\ { \boxed{ \rm{x_{1} = 3 \: \: and \: \: x _{2} = 1}}} \\ \\ { \boxed{ \tt{remember \: y = x + 1}}} \\ \\ { \rm{y _{1} = 4 \: \: and \: \: y _{2} = 2 }}\)

Therefore, points of intersection are two

Answer: (3, 4) and (1, 2)

Question 2:

Following the steps as in question 1

\({ \rm{y = {x}^{2} - 4}} \\ \\{ \rm{2x - 4 = {x}^{2} - 4}} \\ \\ { \rm{ {x}^{2} = 2x }} \\ \\ { \boxed{ \rm{x = 2}}} \\ { \tt{remember : \: y = 2x - 4 }} \\ { \boxed{ \rm{y = 0}}}\)

Answer: (2, 0)

Answer:

Below in bold.

Step-by-step explanation:

1) y=x^2-3x+4 and y=x+1

Using substitution for y :

x + 1 = x^2 - 3x + 4

x^2 - 4x + 3 = 0

(x - 3)(x  - 1) = 0

x = 1, 3.

If x = 1,  y = 1-3+4 = 2 and

if x = 3, y = 9-9+4 = 4.

So the points of intersection are (1, 2) and (3, 4)

Distance between them = √[(3-1)^2 + (4-2)^2 ] = √8.

2) y=x^2-4 and y=2x-4

2x - 4 = x^2 - 4

x^2 - 2x = 0

x(x - 2) = 0

x = 0, 2

When x = 0,  y = -4 and

when x = 2,  y = 0

So the points are (0,-4) and (2, 0)

So distance between the 2 points = √[(2-0)^2 + (0--4)^2)] = √20.

Answer:

Step 1:

a.) 16 pets in total (1 + 0 + 2 + 0 + 3 + 8 + 0 + 2)

b.) the mean is 2 (16 is the total number of pets, divide that by 8 which is the total number of students asked, 16/8 = 2)

Step 2:

a.) 0, 0, 0, 1, 2, 2, 3, 8 (zero, one, two, three, four, five, six, seven, eight.)

b.) 0 and 3 are the middle numbers (center.)

c.) 3/2 = 1.5 (0+3 = 3 divided by 2 = 1.5)

Step 3:

- most of the students did not have any pets, so the mode would be 0 (it is zero because zero appears in the set of numbers 3 times. More than any other number).

Step 4:

They should use the mean of the amount of pets the students have; this is because the mean is the average amount of pets counting everyone in class—regardless on if there were zeros in the list.

Answer:

B

Step-by-step explanation:

3x - 2y = 5

In linear equation each terms degree should be 1.The above is Linear equation with two variables.

Answer:

YOU L HAHA

Step-by-step explanation:

LOS ER

Answer:

Step-by-step explanation:

\(\tt{ \green{P} \orange{s} \red{y} \blue{x} \pink{c} \purple{h} \green{i} e}\)

ATQ,

= \( \dfrac{ - 13}{25} + \dfrac{21}{5} + \frac{ - 21}{18} + x = 5\)

= \( \dfrac{ 377}{150} + x = 5\)

= \( x = 5 - \dfrac{ 377}{150}\)

= \( x = \dfrac{ 373}{150}\)

Answer

=727/150

Step-by-step explanation:

-13/25 + 21/18 + 21/18

= -13 + 105/25 + 21/18

= 92/25 + 21/18

= 1656 + 525/450

= 2181/450   =   727/150

Have nice day

Answer: B

Step-by-step explanation:

You need to multiply the decimal form of the percent off times the original cost. Then you need to subtract the output to the original cost. So,

0.13 x 72 = 9.36

72 - 9.36 = 62.64

Answer:

13% is the answer

Hope I helped

Answer:

0.75a+1.25p≤20

Step-by-step explanation:

Answer:

12

Step-by-step explanation:

is

Answer:

\( z=\frac{24-40}{8}=-2\)

\( z=\frac{40-40}{8}=0\)

And then the percentage between 24 and 40 would be \(\frac{95}{2}= 47.5 \%\)

Step-by-step explanation:

For this problem we have the following parameters given:

\( \mu = 40, \sigma =8\)

And for this case we want to find the percentage of lightbulb replacement requests numbering between 24 and 40.

From the empirical rule we know that we have 68% of the values within one deviation from the mean, 95% of the values within 2 deviations and 99.7% within 3 deviations.

We can find the number of deviations from themean for the limits with the z score formula we got:

\( z=\frac{X-\mu}{\sigma}\)

And replacing we got:

\( z=\frac{24-40}{8}=-2\)

\( z=\frac{40-40}{8}=0\)

And then the percentage between 24 and 40 would be \(\frac{95}{2}= 47.5 \%\)

To solve the equation for p, we can first apply the cross product method, that is, we multiply the numerator and denominator that each line of the "X" connects.

Then, we have:

Now, we divide by 11 from both sides of the equation:

Therefore, the value of p that satisfies the given equation is 8/11 or 0.72.

Answer:

The 86% support provides substantial evidence that the library hours should be extended

The probability is that the mean of their test scores is less than 70.

What is probability?

A probability is a number that reflects tha chance of particular event will occur.

Sol-

As per the question given-

Mean = 73

Standard daviation=7.2

Number of students randomly selected =22

Let's take n number for experiment of outcomes.

The number of favorable outcomes can be denoted by x.

The formula to calculate the probability is -

probability = favorable

Outcomes/total outcomes =x/n

The number of standard daviation form the mean is called z.

Z = (x-¥)/€

Z=(75-73)(7.2/√22)

Z= -37.0582965

P(z<-37.05)

= 37.05

There for the probability is 37.05.

To know more about probability related questions click

https://brainly.com/question/24756209

#SPJ9

An equation of the line that passes through the point (1, -3) and has a slope of -3 in slope-intercept form is y = 2x + 3.

Mathematically, the standard form of the equation of a straight line is given by this mathematical expression;

y = mx + c

Where:

Next, we would determine the slope of this straight line by using this mathematical equation;

Slope (m) = (Change in y-axis, Δy)/(Change in x-axis, Δx)

Slope (m) = (y₂ - y₁)/(x₂ - x₁)

Slope (m) = (15 - 3)/(2 - (-4))

Slope (m) = 12/6

Slope (m) = 2.

Therefore, the equation in slope-intercept form is given by:

y = mx + c

y = 2x + 3

Read more on slope here: brainly.com/question/23086745

#SPJ1

\(y \propto \dfrac 1x\\\\\implies y = \dfrac kx \\\\\implies \dfrac 14 = \dfrac k{8}\\\\\implies k=2\\\\\text{When}~ x =-4\\\\y = \dfrac{k}{x} = \dfrac{2}{-4}= -\dfrac 12\)

The value of y is 18

Similar triangles have the same corresponding angle measures and proportional side lengths. The angles of the two triangle must be equal and it not necessary they have equal sides.

Therefore the corresponding angles of similar triangles are congruent and the ratio of corresponding sides of similar triangles are equal.

Therefore;

14/21 = 12/y

14y = 21 × 12

14y = 252

divide both sides by 14

y = 252/14

y = 18

Therefore the value of y is 18.

learn more about similar triangles from

https://brainly.com/question/14285697

#SPJ1

Answer: The area is  (800)

Step-by-step explanation: (10x 10= 100)

(100 x 8= 800)

FINAL ANSWER: 800m

~ i really hope this is correct, have a gr8 day/night my friend!~

Answer:

true

False

False

Step-by-step explanation:

The correct graph of the inequality ( |x| + 3 > 3) is attached accordingly.

Recall that the absolute value (or modulus) of a real number x is its non-negative value regardless of its sign. For example, 5 has an absolute value of 5, and 5 has an absolute value of 5.

A number's absolute value can be conceived of as its distance from zero along the real number line.

So, given  |x| + 3 > 3

Add minus three to both sides

|x| + 3  + (-3) > 3 + (-3)

|x|  > 0

Thus, the absolute value of x is

x > 0 or x < -0

put in the form of inequality, we have

x > 0 or x < 0

Learn more about absolute value;
https://brainly.com/question/20383699
#SPJ1

The dot plot that displays the data distribution is the dot plot on the lower left corner of the options with

Two dots at 0

One dot at 2

Two dots at 3

Four dots each at 4, 5, and 6

One dot at 7

A dot plot is a graphical presentation of data, on a number line, with the number of points of dot representing the frequency of data at each value on the number line.

The data can be presented as follows;

2, 6, 4, 3, 0, 3, 4, 6, 5, 0, 4, 5, 7, 5, 6, 4, 5, 6

The above data can be arranged in increasing order as follows; 0, 0, 2, 3, 3, 4, 4, 4, 4, 5, 5, 5, 5, 6, 6, 6, 6, 7
Therefore, the frequencies of 0s is two, the frequencies of 4s, 5s and 6s are four each, and the frequency of 7 is one, which corresponds to the third graph or the graph in the bottom left corner of the figure.

Learn more on dot plots here: https://brainly.com/question/14217166

#SPJ1

Answer:

56ft

Step-by-step explanation: