Customers of the Shiny Car Wash were surveyed to see which type of service they purchased. Given are the results of the survey in a frequency table.


Sedan SUV/Truck Total
Express 11
Deluxe 17 24
Works 10
Total 40 75

Which category has the lowest marginal frequency?
SUVs/Trucks who purchased the Express service
Sedans who purchased the Deluxe service
Customers who drove SUVs/Trucks
Customers who purchased the Express service

9514 1404 393

Answer:

  2

Step-by-step explanation:

Fill in the argument value and look up the function value on the graph.

  \((f\circ f)(-2) = f(f(-2)) = f(2) = \boxed{2}\)

Answer:

The measure of the current running through the heater is: 10 Amps

Step-by-step explanation:

Since power  (which is measured in watts) is defined as the product of the voltage applied times the current that runs the device, we can use this formula to solve for the unknown current (I) in the problem. Also since the units of power given are "watts", and the voltage is given in "volts", the current will also result in SI units, that is Amperes (Amps):

\(Power = Voltage \,*\, Current\\1200 = 120\,*\,I\\I=1200/120\, Amps\\I=10 \,Amps\)

Answer:

64

Step-by-step explanation:

ΔZWY is similar to ΔVWX by SAS

We can see the ZW=2VW and YW=2XW

The side lengths of ΔZWY is twice of those of ΔVWX.

VX=32 and YZ is it’s corresponding side, so YZ=2(32)=64

The area of the circle with the given radius is 201.088 square units.

The area of a circle is the space occupied by the circle in a two-dimensional plane. Alternatively, the space occupied within the boundary/circumference of a circle is called the area of the circle. The formula for the area of a circle is A = πr², where r is the radius of the circle.

Given that, the radius of a circle is 8 units.

Here, area of a circle

= 3.142×8²

= 3.142×64

= 201.088 square units

Therefore, the area of the circle is 201.088 square units.

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The statement "there exists x ∈ S ∖ m" means that there exists an element x that belongs to the set S but does not belong to the set m. In other words, x is an element that is present in S but is not present in m.

The phrase "m ⊊ m ∪ {x} ∈ X" states that the set m is a proper subset of the set m ∪ {x}, and this union belongs to the set X. This implies that the set m ∪ {x} contains all the elements of m along with the additional element x.

The phrase "a contradiction" indicates that the statement or assumption being made leads to a logical inconsistency or contradiction. In this context, the contradiction arises from the fact that the assumption that x is not in m contradicts the statement that m ∪ {x} is a proper superset of m.

Overall, the given statement implies that the existence of an element x in S, which is not in m, leads to a contradiction when considering the relationship between m and m ∪ {x}.

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Answer:

  96°

Step-by-step explanation:

You want the value of angle C in the diagram with two parallel lines and a triangle between them.

The sum of angles in a triangle is 180°, so the missing angle in the triangle is ...

  180° -60° -24° = 96°

Angle C and the one we just found are alternate interior angles with respect to the parallel lines and the transversal that forms those angles. As such, they are congruent:

  C = 96°

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Answer: So, all you have to do is divide in this situation. He starts with a board that is 12 feet long, keep that in mind. If he cuts that into 8 pieces it's like he is dividing. So 12 divided by eight or 12/8 would be 1.5. Your answer is that each piece would be 1.5ft long.

Answer:

f(3) = 3 + 1 = 4

Step-by-step explanation:

Since 3 > 0, we need to focus on the part of the function where x > 0. So:

f(3) = 3 + 1 = 4.

Answer:

Step-by-step explanation:

When you have several evaluations to do, it is often convenient to put the formula into a graphing calculator or spreadsheet.

__

If you must evaluate a polynomial by hand, it is often easier if the expression is written in "Horner form":

  g(x) = (-2x +3)x -5

Then we have ...

  g(-2) = (-2(-2) +3)(-2) -5 = 7(-2) -5 = -19

  g(0) = (-2(0) +3)(0) -5 = -5

  g(3) = (-2(3) +3)(3) -5 = (-3)(3) -5 = -14

Answer:

tha nks

Step-by-step explanation:

Answer: x = 9

Step-by-Step Solution:

Hypotenuse = 15 units

Base = 12 units

Altitude = x units

Using Pythagoras Theorem,

=> Hypotenuse^2 = Base^2 + Altitude^2

(15)^2 = (12)^2 + x^2

225 = 144 + x^2

225 - 144 = x^2

81 = x^2

x^2 = 81

x = √81

=> x = 9

Therefore, Altitude = 9 units

The possible values for angles 1, 2, and 3 given that lines a and b are parallel lines include the following:

In Mathematics and Geometry, parallel lines are two (2) lines that are always the same (equal) distance apart and never meet or intersect.

Note: Assuming angle 1 is equal to 60 degrees.

In Mathematics and Geometry, the vertical angles theorem states that two (2) opposite vertical angles that are formed whenever two (2) lines intersect each other are always congruent, which simply means being equal to each other:

m∠1 ≅ m∠3 = 60°.

Based on the linear pair postulate, the measure of angle 2 can be determined as follows;

m∠1 + m∠2 = 180°

60° + m∠2 = 180°

m∠2 = 180° - 60°

m∠2 = 120°

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Answer: C

Step-by-step explanation:

\((\stackrel{x_1}{8}~,~\stackrel{y_1}{-5})\qquad \qquad \stackrel{slope}{m}\implies - \cfrac{20}{11} \\\\\\ \begin{array}{|c|ll} \cline{1-1} \textit{point-slope form}\\ \cline{1-1} \\ y-y_1=m(x-x_1) \\\\ \cline{1-1} \end{array}\implies y-\stackrel{y_1}{(-5)}=\stackrel{m}{-\cfrac{20}{11}}(x-\stackrel{x_1}{8})\implies y+5=-\cfrac{20}{11}x+\cfrac{160}{11} \\\\\\ y=-\cfrac{20}{11}x+\cfrac{160}{11}-5\implies y=-\cfrac{20}{11}x+\cfrac{105}{11}\)

Total water bill for the month is $62.37.

It seems that you may have accidentally left out the total amount of your water bill.

The total amount by simply adding the amounts of the individual bills together:

Total water bill =\($36.34 + $26.03\)

= \($62.37\)

You have not provided enough information to determine your total water bill.

You have only given the amounts of your individual bills from Metro Water Services and Madison Suburban Utility District.

To find your total water bill, you simply need to add the two bills together.

So, the total amount you owe for water this month would be:

Total water bill = \($36.34 + $26.03\)

= \($62.37\)

It appears that you may have forgotten to include the full amount of your water bill by accident.

Simple addition of the separate bill amounts yields the following sum:

Water bill total = \($36.34 + $26.03\)

= \($62.37\)

Your total water bill cannot be calculated because not enough information has been given.

Only the amounts of your individual Metro Water Services and Madison Suburban Utility District bills have been provided.

You just need to combine the two invoices together to get your total water bill.

As a result, this month's total water bill for you would be:

Water bill total =  \($36.34 + $26.03\)

= \($62.37\)

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Answer:

7 miles / hour

Step-by-step explanation:

I'm taking this to mean she walked 3.5 miles. She did this 1/2 hour.

Givens

d (distance ) = 3.5 miles

t (time) = 1/2 hour

r (rate) = ?

Formula

r = d/t

Solution

The easiest way to do this is to change the fractions to decimals.

t = 1/2 = 0.5 hours

r = 3.5 / 0.5

r = 7 miles per hour.

Answer:

Let the required number be x

The quotient of a number and -7, decreased by 2, is 10

According to the above problem, we get

\( \frac{x}{( -7)} - 2 = 10 \\ \frac{x}{( - 7)} = 10 + 2 \\ \frac{x}{( - 7)} = 12 \\ x = ( - 7) \times 12 \\ \boxed{x = - 84}\)

Therefore, the required number is -84.

Answer:

Step-by-step explanation:

The bell boy added $270 and $20 incorrectly. The $20 bill was something that was returned due to overcharching. On the other hand, $270 was the amount that they paid for their room. This only means that $20 should be deducted from $270 and that's the amount that they paid for their room while $30 and $20 are the amount that the bell boy received as a tip

Total money of the three men: 3($100) = $300

They paid $270 for the room: $300 - $270 = $30

Tip for the bell boy: $30 - $30 = $0

Amount overcharged to them: $0 + $20 = $20

Tip to the bell boy: $20 - $20 = $0

They were left with no more money from the original $300.

After solving the equation the value of x is x = 17

What do you mean by co interior angle?

Co interior angles are interior angles that add up to 180 degrees. This means that the sum of the two interior angles on the same side of the horizontal side are complementary. The interior angles of Co are similar to the shape of a 'C' and both angles are unequal.

Common interior angles are also called continuous interior angles or equilateral interior angles.

In the given figure, line a is parallel to line b. Therefore, these two angles are co interior angle and sum of co interior angle is 180 degree

2x + 5 + 8x + 5 = 180 degree

10x + 10 = 180 degree

10x = 180 - 10

10x = 170

x = 170/10 = 17

Therefore, x = 17

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Answer:

5

Step-by-step explanation:

Subtract  

5

from  

10

.

|

5

|

The absolute value is the distance between a number and zero. The distance between  

0

and  

5

is  

5

.

5

Answer:

Sorry my HANDWRITING is not good . :(

This axiom says that there is no upper bound to the number of elements that a set can have, thus, sets with infinite elements do exist.

First, we need to give the definition of an axiom. This is a proposition that is assumed to be true, and don't need a demonstration.

Axioms are the logical base of mathematics, so these are usually used to define concepts or basic rules.

In set theory,  the axiom of infinity just claims (and because it is an axiom, it must be true) that there are sets that have a infinite number of elements.

A trivial case is the set of real numbers, which we know has infinite elements because there are infinite real numbers.

So there is not a maximum for the number of elements that a set can have.

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Answer:

-235+84i

Step-by-step explanation:

I hope this is what you were looking for.

Answer:

angle A: 33.005

Angle B: 35.04

Angel C: 111.955

Step-by-step explanation:

look at attached image for more info

Hope it helps! Have a wonderful day

Answer:

There is no picture

Step-by-step explanation:

I wanted to help but i cant

Answer:Its D

Step-by-step explanation: (6, 34)

Answer:

social media mentions do managers at Apple need to collect, if they want to get a margin of error of 2%

Sample size 'n' = 625

Step-by-step explanation:

Step(i):-

Given data Apple launches an ad campaign for iPhone 12

Managers want to know what is the % of social media mentions that have positive reactions to the new ad campaign

probability of positive reactions p = 1/2

Probability of negative reactions q = 1-p = 1/2

we know that \(\sqrt{p(1-p}\leq \frac{1}{2}\)

Step(ii):-

Given margin of error  = 2 % =0.02

The margin of error is determined by

          \(M.E = \frac{\sqrt{p(1-p} }{\sqrt{n} }\)

         \(0.02 = \frac{\frac{1}{2} }{\sqrt{n} }\)

        \(\sqrt{n} =\frac{1}{2 X0.02}\)

        √n = 25

squaring on both sides, we get

       n = 625

The signs of the trigonometric functions are cos(-100) = negative and tan(-100) = positive

The trigonometric expressions are given as

cos(-100) and tan(-100)

The cosine trigonometric expression is an even function

This means that

cos(-x) = cos(x)

In this case, x = 100

So, we have

cos(-100) = cos(100)

The angle measure of 100 is in the second quadrant, and cosine is negative in the second quadrant

This means that

cos(-100) = negative

Also, we have

The tangent trigonometric expression is an odd function

This means that

tan(-x) = -tan(x)

In this case, x = 100

So, we have

tan(-100) = -tan(100)

The angle measure of 100 is in the second quadrant, and tangent is negative in the second quadrant

This means that

tan(-100) = -negative

Evaluate

tan(-100) = positive

Hence, the signs of the trigonometric functions are cos(-100) = negative and tan(-100) = positive

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