What are the more appropriate measures of center and spread for this data
set?

Answer:

60

Step-by-step explanation:

The measure of ∠ATS is 120. The measure of a straight angle is always going to be 180 degrees. So first, we subtract 120 from 180 to find the measure of the interior angle.

∠STR = 180 - 120

= 60

The measure of all the interior angles in the triangle ΔSTR is 180 degrees.

180 - 60 - 60

= 60

The measure of ∠TSR is 60 degrees.

Answer:

the closest i can get is 30

Step-by-step explanation:

I'm sorry if it isn't right

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Explanation:

Each tickmark on the graph represents a distance of 2 units. From A to P is 4 tickmarks, so that corresponds to 2*4 = 8 units. That's one of the bases. The other base is TR = 2. The bases are parallel to one another.

The height is always perpendicular to the base, and the height is 2*3 = 6 units.

So we have

b1 = 8, b2 = 2, and h = 6

Which means,

A = h*(b1+b2)/2

A = 6*(8+2)/2

A = 6*10/2

A = 60/2

A = 30

------------------------------

As a slightly longer alternative, we can plot points at (-2, 0) and (-2, -2). Let's call these two points M and N respectively. These two points subdivide the trapezoid into three pieces: Two triangles sandwiching a rectangle.

Add up those sub-areas to get the full area of the trapezoid:

12+12+6 = 30

Answer:

22.3

Step-by-step explanation:

From trigonometry :

The angle D can be obtained thus ;

Sin D = opposite / hypotenus

Sin D = 19 / 50

Sin D = 0.38

D = Sin^-1(0.38)

D = 22.33

Answer:

5761

Step-by-step explanation:

Using trigonometry to solve the question which has been represented by the attached triangle :

To obtain the value of h, altitude of airplane ;

Tan x = opposite /Adjacent

Tan 32 = 3600 / h

h = 3600 / tan 32

h = 3600 / 0.6248693

h = 5761.2043

Answer:

e a b $ 174 par month

Step-by-step explanation:

ar the

Jane's monthly payment this year using balance billing would be $164 per month.

The unitary technique involves first determining the value of a single unit, followed by the value of the necessary number of units.

To determine Jane's monthly payment this year using balance billing, we need to divide the total amount she spent last year ($1,968) by the number of months in a year.

Total amount spent last year = $1,968

Number of months in a year = 12

So, Monthly payment = Total amount spent last year / Number of months in a year

Monthly payment = $1,968 / 12

Monthly payment ≈ $164

Therefore, Jane's monthly payment this year using balance billing would be $164 per month.

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Answer: free allah long live

Step-by-step explanation:

46564

A prism Always has two congruent, parallel bases.

The length of ribbon is 48 yards.

The unitary technique involves first determining the value of a single unit, followed by the value of the necessary number of units.

For example, Let's say Ram spends 36 Rs. for a dozen (12) bananas.

12 bananas will set you back 36 Rs. 1 banana costs 36 x 12 = 3 Rupees.

As a result, one banana costs three rupees. Let's say we need to calculate the price of 15 bananas.

This may be done as follows: 15 bananas cost 3 rupees each; 15 units cost 45 rupees.

Given:

Kala got a prepaid debit card with $15.

Price of Ribbon = 24 cents per yard.

After purchase money left $3.48.

So, Price of Ribbon purchased = 15 - 3.48 = $11.52 = 1152 cents

length of ribbon = 1152/ 24

                           = 48 yards

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Answer:

$3.20

Step-by-step explanation:

I divided the $2 by 8 to see how much 1/8 a gallon cost.

I got 0.40

Multiple this by 8 to get 8/8 or 1 gallon.

You get 3.2

so $3.20

Hope this helped. :)

Answer:

i can be ur free tutorrrrr

Step-by-step explanation:

Answer:

im in 7th grade too, ill help

Step-by-step explanation:

Answer:

Step-by-step explanation:

4(x+3)=4x+12

4x+12=4x+12

Answer:

y = 4x + 3 is in what is called "slope-intercept" form or "y=mx+b" form which is the easiest form for graphing. The "3" is called the "y-intercept" and is where the line crosses the y axis.

Step-by-step explanation:

The rate of inflation of potatoes is 0.019.

The rate of inflation of Oranges is 0.019.

The rate of inflation of Ground beef is 0.019.

Inflation is an increase in the level of prices of the goods and services that households buy. It is measured as the rate of change of those prices.

Given:

Here, the annual rate of inflation r (in decimal form) is given by

r = [tex](p_2/ p_1)^{1/n[/tex] - 1

Now, The average price of a  potatoes increased from $0.620 in 2009 to $0.749 in 2019.

Thus, The required rate of inflation,

r = [tex](0.749/ 0.620)^{1/10[/tex] - 1

r = 1.019 - 1

r = 0.019

Now, The average price of a Oranges increased from $0.910 in 2009 to $1.280 in 2019.

Thus, The required rate of inflation,

r = [tex](1.280/ 0.910)^{1/10[/tex] - 1

r = 1.034 - 1

r = 0.034

Now, The average price of a Ground beef increased from $2.251 in 2009 to $3.375 in 2019.

Thus, The required rate of inflation,

r = [tex](3.775/ 2.251)^{1/10[/tex] - 1

r = 1.0321 - 1

r = 0.0321

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Answer: y = 85 - 6x

Step-by-step explanation:

Number of napkins remaining: y

Number of tables set: x

Akira starts out with 85 napkins. So, every time she sets a table, she is losing 6 napkins. The steady rate of napkins lost can be written with the following expression, as she is losing 6 napkins per table.

[tex]-6x[/tex]

These napkins are being removed from the total of 85 napkins:

[tex]85 - 6x[/tex]

The above equation also expresses the number of napkins remaining. Writing it as a proper equation:

[tex]y = 85 - 6x[/tex]

The final answer is: y = 85 - 6x

Answer:

2.5 litres

Step-by-step explanation:

alice fox's step is 3/5 m and basil cat's step is 4/5m.

note: i will be using 1/5m instead of 20 cm to keep the units consistent

1. Set up table

     | Step Length | # of steps | Distance

A   |    x                 |    240/x     |   240

B   |       x+1/5       |  240/x+1/5 |   240

2. set up equation

240/x  -  100 = 240/x+0.2

3. Multiply the bases to make it:

240x+48 - 100x^2 -20x = 240x

=    100x^2-20x+48=0

4. Use vieta's theorem or quadratic equation to solve for x

x= 3/5, -4/5 but -4/5 doesnt work bc distance can't be negative

5. plug back in

A   |    3/5  

B   |       3/5+1/5

so: alice fox's step is 3/5 m and basil cat's step is 4/5m.

hope this was helpful!!

Answer:

Alice Fox’s step is 3/5, and Basil cat’s step is 4/5.

Step-by-step explanation:

Solution :

a). The required linear regression model is

Price = [tex]$-1242.986 + 75.017 \times \text{age of part} + 13.973 \times \text{ number of bidders}$[/tex]

b). The [tex]$\text{p-value}$[/tex] for the variable "Age of part" is 0.0000

Since the [tex]$\text{p-value}$[/tex] is less than 0.05, so it is significant to the model.

The p-value for the variable "Number of bidders" is 0.1940

Since [tex]$\text{p-value}$[/tex]  is not less than [tex]$0.05$[/tex], so it is significant to the model.

c). We cannot say that model is significant because variable " the number of bidders" is not significant.

But as both variables have positive coefficient so as the variable increases the price received for the item also increased.

Answer:

g(Los Angeles) = California

Step-by-step explanation:

The function g that associates each U.S. city with the state it resides in.

This means that the input of the function is an U.S. city, and the output is the state of the city.

For example:

g(Buffalo) = New York

What is g(Los Angeles)?

Los Angeles is in California. So

g(Los Angeles) = California

Answer:

The answer to your first question is A You can find slope through the equation Change in Y over change in x. and find the y intercept by using the growth rate and multiplying or dividing it by the x coordinate until the Y value hits 0,  

Step-by-step explanation: If you dont feel like doing the work copy and paste the equations into desmos graphing calculator and it will tell you everything

Answer:

[tex]f(x)=2cos(x+\frac{\pi}{2})+3[/tex]

Step-by-step explanation:

Because the function is symmetric about the y-axis, using the cosine function is most appropriate.

Refer to the equation for a cosine function:

[tex]f(x)=acos(bx+c)+d[/tex]

Amplitude: [tex]|a|[/tex]

Period: [tex]\frac{2\pi}{|b|}[/tex]

Phase shift: [tex]-\frac{c}{b}[/tex]

Midline: [tex]y=d[/tex]

The amplitude would be the average of the maximum and minimum y-values of the function, which would be [tex]|a|=|\frac{5-1}{2}| =|\frac{4}{2}| =|2|=2[/tex].

The value of [tex]b[/tex] in [tex]\frac{2\pi}{|b|}[/tex] represents the length of the period, so since the length of the period is [tex]2\pi[/tex], this means that [tex]b=\frac{2\pi}{|2\pi|} =1[/tex].

The phase shift, [tex]-\frac{c}{b}[/tex], describes the horizontal shift of a function. Because the phase shift is [tex]-\frac{\pi}{2}[/tex], then we can set up the equation [tex]-\frac{\pi}{2}=-\frac{c}{1}[/tex] where we determine [tex]c=\frac{\pi}{2}[/tex].

The midline (or vertical shift), [tex]d[/tex], is the horizontal line that passes through between the maximum and minimum points, which the function oscillates. In this case, the midline would be located at the line [tex]y=3[/tex], therefore, [tex]d=3[/tex].

Putting all our information together, your final equation is:

[tex]f(x)=2cos(x+\frac{\pi}{2})+3[/tex]

Answer:

10000

Step-by-step explanation:

4^2 (100) = 1600

so,

10^2 (100) gives us our answer of 10000

The number of guests, g, coming for dinner is not 8, is g ≠ 8.

One mathematical expression makes up a term. It might be a single variable (a letter), a single number (positive or negative), or a number of variables multiplied but never added or subtracted. Variables in certain words have a number in front of them. A coefficient is the number used before a phrase.

Given:

The expression,

the number of guests, g, coming for dinner is not 8.

That means,

Let the number is g.

According to the question,

the number is not equals to 8.

That means,

the expression in the numerator form,

g ≠ 8.

Therefore, the term in the mathematical form g ≠ 8.

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Answer:

8j

Step-by-step explanation:

hope this helps!

Answer:

9,114.81 ft³

Step-by-step explanation:

The solid is composed of a cylinder and a hemisphere

Volume of the solid = volume of the cylinder + volume of the hemisphere

= πr²h + ⅔πr³

Where,

r = 8 ft

h = 40 ft

Plug in the values into the equation

Thus:

Volume of the solid = π*8²*40 + ⅔*π*8³

= 8,042.4772 + 1,072.33029

= 9,114.80729

= 9,114.81 ft³ (nearest hundredth)

Using the Double Number Line above, note that the unit that helps to find the missing numbers is given as:

Note that a unit rate is like a secret code to help you compare things. It helps you find missing numbers on a number line. For example, if 4 cookies cost $2, you can use the unit rate of $0.50/cookie to find out how much 8 cookies cost."

In the above case, we have several clues about the rate. The first relationship on the line is between 1 and 3.

But it only makes when we compare it to other iterations on the line such as 2 and 6.

Note that we can establish a relationship here which is that the greater number must be divided by three to get the lower number. That is:

3/3 = 1

6/3 = 2

Note well that the relationship between 0, 3, and 6 on the number line tell us that the upper units graduate in progressions of 3. that is:

0, 3, 6, 9, etc.

Thus, the missing numbers are:

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Both Kylie and Bennet are correct.

Opposite of the opposite of a number is negative if the number is a positive number.

Opposite of the opposite of a number is positive if the number is a negative number.

An expression is a way of writing a statement with more than two variables or numbers with operations such as addition, subtraction, multiplication, and division.

Example: 2 + 3x + 4y = 7 is an expression.

We have,

Number = x

The Opposite of x is -x.

Opposite of -x.

= -(-)

= x

Number = -x

The opposite of -x.

= -(-x)

= x

The opposite of x.

= -x

Thus,

Both the person is correct.

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Answer:

There is a root between x=3 and x=5.

Step-by-step explanation:

Not entirely sure what this question wants, but from this you can tell that the function crossed the x-axis in the interval (3, 5). When x is 3, y is 5, and then when x is 5, y is -2.

I'm not 100% sure but I think it's 53.1

Answer:

[tex]Y = 20.239[/tex]

Step-by-step explanation:

Given

[tex]Y = 9.1411 + 0.4775X[/tex]

Required

The predicted value of [tex]Y[/tex] when [tex]X = 23.2417[/tex]

To do this, we substitute [tex]X = 23.2417[/tex] in the given equation

So, we have:

[tex]Y = 9.1411 + 0.4775X[/tex]

[tex]Y = 9.1411 + 0.4775 * 23.2417[/tex]

[tex]Y = 9.1411 + 11.0979[/tex]

[tex]Y = 20.239[/tex]