The data to the right represent the cost of living for 20
states. The cost of living is a measure of the average
price paid for housing, utilities, groceries, healthcare,
transportation, and miscellaneous expenses. The
national average cost of living is 100. The data can be
used to compare a state to the national average and
to other states.
T
Use these data to construct a frequency distribution with a first class of 85.0-94.9. Fill in the missing classes and the frequency for each class belo
Cost of living
Number of states
9
85.0-94.9
125.0134.9
8-8
20
(Type integers or decimals. Do not round.)
151.2121.3 99.4 94.5 89.7
138.7120.1 96.7 94.5 89.6
132.1106.5 95.3 90.9 89.4
124.9101.6 95.2 90.1 89.2

Answer:

y = ±√100-x

Step-by-step explanation:

To work out the inverse of this function :

We solve for x then swap x and y :

Solving for x :

y = 100 - x²

Add x² to both sides :

x² + y = 100

Subtract y from both sides :

x² = 100-y

Square root both sides :

x = ±√100-y

Now we have solved for x. Now swap x and y :

y = ±√100-x

This is our final answer and is the first option.

Hope this helped and have a good day

Proved that the triangle ABW ≅ triangle DCW

In the given question,

The length of WA = The length of WD

The measure of angle 5 = The measure of angle 7

Here we have to prove that one angle and two sides of the triangle ABW is equal to the one angle and two sides of the triangle DCW

Consider the triangle ADW,

In the triangle ADW the length of the WA is equal to the length of WD.

Therefore the measure of angle A is equal to the measure of angle D.

So in triangle ABW and the triangle DCW, one side and two angles are equal.

Therefore the triangle ABW and triangle DCW are congruent

Hence, proved that the triangle ABW ≅ triangle DCW

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The required solution of the given absolute value equation is z = 4/3 and z = 1/3.

Given that,
To solve the absolute value equation |6z-3|=5

The equation is the relationship between variables and represented as y = ax + b is an example of a polynomial equation.

here,
Given the absolute value equation,
|6z-3|=5
Simplify,
6z - 3 = ± 5
Taking (+)

6z - 3 = 5
6z = 8
z = 4/3
Taking (-)
6z -3 = -5
z = -1/3

Thus, the required solution of the given absolute value equation is

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Answer:

5 pounds

Step-by-step explanation:

1 kg = 2.205 lbs.

2.25×2.205

⇒4.96125

Answer:

i think it 8h

Step-by-step explanation:

The equation to illustrate the information when the football team travels to an away game is 5c + 9v = 47.

An equation is the statement that illustrates that the variables given. In this case, two or more components are taken into consideration to describe the scenario.

It is vital to note that an equation is a mathematical statement which is made up of two expressions that are connected by an equal sign.

Let cars = c

Let van = v

The equation will be 5c + 9v = 47.

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Check the picture below.

85

Step-by-step explanation:

Given,

[tex]{ \pink{ \sf{h(x) = 1 - 7x}}} \: { \to} \: { \tt{eq}^{n} (1)}[/tex]

Put x = 9 in Eqⁿ (1)

[tex]{ \pink{ \sf{h(9) = 1 - 7(9)}}}[/tex]

[tex]{ \pink{ \sf{h(9) = 1 - 63}}}[/tex]

[tex]{ \red{ \boxed{ \pink{ \sf{h(9) = - 62}}}}}[/tex]

Let

[tex]{ \green{ \sf{23 - h(9)}}} \: { \to} \: { \tt{ {eq}^{n} (2)}}[/tex]

Substitute the value of h(9) in Eqⁿ (2)

[tex]{ \green{ \sf{23 - ( - 62)}}}[/tex]

[tex]{ \green{ \sf{23 + 62}}}[/tex]

[tex] = { \pink{ \boxed{ \red{ \sf{85}}}}}[/tex]

The z-score under which 3/4 of the data lies is of:

Z = 0.675.

The z-score of a measure X of a variable that has mean symbolized by [tex]\mu[/tex] and standard deviation symbolized by [tex]\sigma[/tex] is obtained by the rule presented as follows:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

The z-score under which 75% of the distribution lies is the 75th percentile, hence it is the value of Z with a p-value of 0.75.

Looking at the z-table, this value is of 0.675, as 0.675 is the mean of the p-values of Z = 0.67 and Z = 0.68.

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Answer:

Step-by-step explanation:

The freezing point of water in relation to the freezing point of acetone, is 169 °F

The difference between the freezing point of water (how much warmer the freezing point of water is) and the freezing point of acetone can be found by the formula:
= Freezing point of water - Freezing point of acetone

Freezing point of water = 32°F

Freezing point of Acetone = – 137°F

In relation to the freezing point of acetone, the degrees warmer that the freezing point of water is:

= 32 - (- 137)

= 32 + 137

= 169 °F

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Answer:

try to show it step by step

The quotient estimated value of 394.6/9 is 43.84

A quotient is the number which is generated when we perform division operations on two numbers. Basically, it is the result of the division method. There are four main terminologies used in the arithmetic division such as divisor, dividend, quotient and remainder. For example, 15/3= 5 .The number that is being divided ( 15) is called the dividend, and the number that it is being divided by (3) is called the divisor. The result of the division(5) is the quotient.

Therefore the quotient of 394.6/9= 43.84

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Answer:13

Step-by-step explanation:

g(1)=2(1)^2-1= 1

g(6)=2(6)^2-6=66

66-1/6-1=13

Answer:

6 and - 18

Step-by-step explanation:

let the 2 integers be a and b , then

a + b = - 12 → (1)

[tex]\frac{a}{b}[/tex] = - 3 → (2)

multiply both sides by b ( b ≠ 0 )

a = - 3b

substitute a = - 3b into (1)

- 3b + b = - 12

- 2b = - 12 ( divide both sides by - 2 )

b = 6

substitute b = 6 into (1) and solve for a

a + 6 = - 12 ( subtract 6 from both sides )

a = - 18

the two integers are - 18 and 6

The probability that the proportion of airborne viruses in a sample of 533 viruses would differ is 0.0062.

From the information, the scientist claims that 9% of viruses are airborne and the proportion of airborne viruses in a sample is 533 viruses.

The requirement to solve the probability between z-values is to know that the probability between the z-values is the difference between the probability of the greatest z-value and the lowest z-value.

The mean is 0.09 and the standard deviation is 0.012.

The probability will be:

= 1 - P[Z < (0.12 - 0.09/0.013)]

= 1 - P(Z < 2.5)

= 1 - 0.99379

= 0.0062

This shows the concept of solving probability regarding z values.

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The total cost is $1.75

Given that we've done it:

The total price is shown by:

Now, let's display the following in a number line:

So, after seven hops, we arrive at 1.75, which is the correct response.

Hence, the total cost is $1.75

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Answer:

a) 24 minutes

b) 20 mph

Step-by-step explanation:

  time= 12 min

         [tex]\sf = \dfrac{12}{60} \ hour[/tex]

 speed = 60 mph

[tex]\sf \boxed{distance =speed * time}[/tex]

                [tex]\sf = 60 * \dfrac{12}{60}\\\\ = 12 \ m[/tex]    

a) Speed = 30 mph

      [tex]\sf \boxed{time = \dfrac{distance}{speed}}[/tex]

               [tex]\sf = \dfrac{12}{30}\\\\ = \dfrac{2}{5} \ hour\\\\ = \dfrac{2}{5}*60\\\\= 2 * 12\\\\= 24 \ minutes[/tex]

It will take 24 minutes.

c) time = 36 minutes

           [tex]\sf = \dfrac{36}{60} \hour[/tex]

 [tex]\sf \boxed{speed= \dfrac{distance}{time}}[/tex]

            [tex]\sf = \dfrac{12}{ \dfrac{36}{60}}\\\\\\ = 12* \dfrac{60}{36}\\\\= 20 \ mph[/tex]

Average speed = 20 mph

The slope of the road is 159/53

What is a slope?

How steeply a line slopes from left to right is known as its slope. By dividing a line's rise, or vertical change, by run, or horizontal change, one can calculate a line's slope, the slope of a line is always constant (it never varies).

To calculate the slope of a line using the formula

m = rise / run = (y₂ - y₁)/(x₂ - x₁)

where, m = slope

(x₁, y₁) = coordinates of the first point in the line

(x₂, y₂) = coordinates of the second point in the line

Here, we have

rise = 795

run = 265

by using the slope formula,

m = rise/run

m = 795/265

m = 159/53

Hence, the slope of the road is 159/53.

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Answer:

x=20

Step-by-step explanation:

It looks like the opposite end of the 70 is angle between I and D. So assuming that angle is also 70 I would subtract 90 and 70 which equals 20. X=20

The line represents that x is anywhere from negative infinity to 1:

x < 1

Answer: x<1

Step-by-step explanation:

X is less than one on the graph because everything on the darker line is the solution.

Ex:

-1<1

Answer:

x = 12

Step-by-step explanation:

if l and m are parallel that means that since the two angles are consecutive interior they add to 180

so add them both and set that to 180

9x - 4 + 5x + 16 = 180

now combine like terms

14x + 12 = 180

subtract 12 from both sides

14x = 168

divide everything by 14

x = 12

that is the answer

Answer:

Step-by-step explanation:

Let's find x:-

[tex]\sf 9x-4+5x+16=180^o[/tex]

Combine like terms:-

[tex]\sf 9x+5x-4+16=180[/tex]

[tex]\sf 14x-4+16=180[/tex]

[tex]\sf 14x+12=180[/tex]

Add/Subtract numbers:-

[tex]\sf 14x+12-12=180-12[/tex]

[tex]\sf 14x=168[/tex]

Divide both sides by 14:-

[tex]\sf \cfrac{14x}{14}=\cfrac{168}{14}[/tex]

[tex]\sf x=12^o[/tex]

__________________

Hope this helps!

Have a great day!

Answer:

Step-by-step explanation:

there is no question?

With 95% confidence, the margin of error is 19.523, population mean is (253.477, 292.523) and the change in cost over the two-year period is 19.21%.

In the given question,

The average cost per night of a hotel room in New York City(y) = $273

Number of rooms in hotel(n) = 45.

The sample standard deviation(s) = $65

(a.) Now finding the margin of error, with 95%(0.95) confidence.

The formula of margin of error is

ME= [tex]z_{\alpha /2}\times \frac{s}{\sqrt n}[/tex]

Now find the value of [tex]z_{\alpha /2}[/tex].

[tex]\alpha[/tex] = 1-0.95

[tex]\alpha[/tex] = 0.05

[tex]\alpha[/tex]/2 = 0.05/2

[tex]\alpha[/tex]/2 = 0.025

Now the value of [tex]z_{\alpha /2}[/tex]

[tex]z_{\alpha /2}=z_{0.025}[/tex]

From the standard table of z is 2.015.

Now putting the value in formula

ME= 2.015 × 65/√45

ME= 2.015 × 65/6.708

ME= 2.015 × 9.689

ME= 19.523

Hence, with 95% confidence, the margin of error is 19.523.

(b) Now finding .the 95% confidence interval estimate of the population mean.

Population Mean = y ± ME

Population Mean = 273 ± 19.523

Population Mean = {(273-19.523), (273+19.523)}

Population Mean = (253.477, 292.523)

(c) Now two years ago the average cost of a hotel room in New York City was $229 then the change in cost over the two-year period is

The change in cost = difference between the cost/old cost

The change in cost = (273-229)/229 *100

The change in cost = 44/229 *100

The change in cost = 0.1921 *100

The change in cost = 19.21%

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The standard form of the equation, 3y = 9x -12, is -5x + y = 0.5. The correct option is the third option -5x+y=0.5

From the question, we are to write the given equation is standard form.

The given equation is

y = 5x + 0.5.

The standard form of a linear equation is

Ax + By = C

Where A, B, and C are constants

x and y are variables

Now, we will write the given equation is the standard form of a linear equation.

y = 5x + 0.5

Subtract 5x from both sides of the equation

y - 5x = 5x - 5x + 0.5

y - 5x = 0.5

Rewrite the equation, so that it would correspond to the standard form of a linear equation

-5x + y = 0.5

Hence, the standard form is -5x + y = 0.5

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The expression that uses the commutative property of addition and the associative property of multiplication to rewrite the expression 3 (28) +7  is 7+(3-2).8

The commutative property of addition states that a change in the order of the numbers being added does not affect the sum. We can define commutative property of addition as adding the numbers in any order will give the same answer.

a + b = b + a

3(2x8) + 7 = 7 + 3(2x8)

The associative property of multiplication says that while multiplying three numbers, regardless of the way the numbers are grouped, the end result will always be the same.

a(b x c) = (a x b) c

7 + 3(2x8) = 7 + (3.2)8

Therefore, the expression that uses the commutative property of addition and the associative property of multiplication to rewrite the expression 3 (28) +7  is 7+(3-2).8

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The function g(x) is a reflection over the x-axis and stretch by 3 units and shifted upward by 1 unit of the parent function f(x).

A capability is a declaration, idea, or rule that lays out a relationship between two factors. Capabilities might be found all through science and are fundamental for the advancement of huge connections.

The functions are given below.

f(x) = x

g(x) = -3f(x) + 1

g(x) = -3x + 1

The parent function is a reflection over the x-axis and stretch by 3 units and shifted upward by 1 unit.

The functions g(x) and f(x) are shown below.

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The linear function with values of f(-1)=8 and f(5)=6 is  f(x) = [tex]\frac{-x+23}{3}[/tex].

What is linear function?

 A straight line on the graph has the equation or formula y = f(x) = px + q is linear function .One independent and one dependent variables are present. X and Y are the independent and dependent variables, respectively. P is the y-intercept or constant term, and it also represents the value of the dependent variable. A straight line on the coordinate plane is represented by a linear function.

Here the given  values are f(-1)=8 and f(5)=6.

We know that f(x)=y , Then the points are (-1,8) and (5,6).

Using slope formula ,

=> slope m= [tex]\frac{y_2-y_1}{x_2-x_1}[/tex]

=> slope m = -2/6=-1/3

Now using slope formula,

=> [tex]y-y_1=m(x-x_1)[/tex]

=>y-8=-1/3(x+1)

=>3y-24=-x-1

=> 3y=-x+23

=> y = [tex]\frac{-x+23}{3}[/tex]

Hence the linear function is f(x) = [tex]\frac{-x+23}{3}[/tex].

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The price for 7 bags of trail mix and 4 bananas is  15.45  dollars.

The expression for x trail bag and y bananas is 1.35x + 1.50y.

In maths, an expression is a combination of numbers, variables, functions (such as addition, subtraction, multiplication or division etc.)

Therefore, the cost of a bag of trail mix at the corner store is 1.35 dollars  and the cost of a banana is 1.5 dollars.

The cost for 7 bags of trail mix and 4 bananas can be computed as follows;

let

x = bags of trail mix

y = number of banana

Therefore,

1.35x + 1.50y

1.35(7) + 1.50(4) = 9.45 + 6 = 15.45

Therefore, let's find the expression for x trail bag and y bananas.

Hence,

1.35x + 1.50y

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