A customer service survey was conducted of 500 customers: 250 men and 250 women. The data on one of the questions show that 175 men and 160 women rate the customer service as excellent. What percentage of men gave an excellent rating? What percentage of women gave an excellent rating? What was the total percentage of customers giving an excellent rating?

The plywood needed for 15 strips is 20.5 inches.

[tex]\rm 1\dfrac{1}{4}\ inches = \dfrac{(4 \times 1) +1 }{4} =\dfrac{5}{4}\ inches[/tex]

As to cut 15 strips of plywood a total of 14 cuts will be needed.

therefore, the waste of plywood in these 14 strips will be

= Lost in each cut x Number of cuts

[tex]=\dfrac{1}{8}\times 14\\\\=\dfrac{14}{8}\\\\ = \dfrac{7}{4} inches[/tex]

Total plywood needed for all single strip

                        = width of the strip x number of strips

                        [tex]=\dfrac{5}{4} \times 15\\\\ =\dfrac{75}{4}\\\\[/tex]

Plywood needed

= Total plywood needed for all strip +  Total waste of plywood

[tex]=\dfrac{7}{4}+\dfrac{75}{4}\\\\=\dfrac{82}{4}\\\\=20.5\ \rm inches[/tex]

Hence, the plywood needed for 15 strips is 20.5 inches.

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9514 1404 393

Answer:

  Adam

Step-by-step explanation:

It is pretty easy to make comparisons to 10 ft/s.

If Liz ran 10 ft/s, she would run 460 ft in 46 s. Since she runs 420 ft, she runs slower than that.

If Emily ran 10 ft/s, she would run 600 ft in 1 minute, so Emily runs faster than that.

If Adam ran 10 ft/s, he would only run 4270 ft in 427 seconds. Since he runs 5280 ft in that time, his speed is definitely greater than 10 ft/s.

__

At this point, we know that Adam and Emily run faster than Liz and Stephanie. So we need to compare Adam and Emily's rates.

Adam's time for 1 mile is about 7 minutes. If Emily ran for 7 minutes, her distance would be less than 7×700 ft = 4900 ft, substantially less than 1 mile (5280 ft).

Adam runs the fastest.

_____

Comment on straightforward solution

Each rate can be computed by dividing distance by time:

  Liz: (420 ft)/(46 s) = 9.13 ft/s

  Adam: (5280 ft)/(427 s) = 12.37 ft/s

  Emily: (667 ft)/60 s) = 11.12 ft/s

Adam's is the highest, well above Stephanie's 10 ft/s.

These calculations require a calculator. The solution above was done without a calculator.

Final answer:

To determine the fastest runner, we calculated each runner's speed in feet per second. Adam was found to be the fastest with a speed of 12.37 feet per second.

Explanation:

To find out who the fastest runner is, we need to calculate the speed of each runner in feet per second and then compare. Stephanie's speed is already given as 10 feet per second. Next, we calculate Liz's speed by dividing the distance she runs by the time it takes her: 420 feet / 46 seconds = 9.13 feet per second. Now, we convert Adam's mile into feet, knowing that 1 mile = 5280 feet. Adam's speed is 5280 feet / 427 seconds = 12.37 feet per second. Lastly, we need to convert Emily's time into seconds since she runs for 1 minute (which is 60 seconds). So, Emily's speed is 667 feet / 60 seconds = 11.12 feet per second. Comparing all speeds, Adam runs the fastest at 12.37 feet per second.

There are 3,628,800 possible codes that can be entered into the 10-letter keypad.

The number of codes that can be formed using the 10-letter keypad is calculated using the concept of permutations. Since each key can only be used once, we need to find the number of ways we can arrange 10 letters without repetition. This can be calculated as:

P(10, 10) = 10!

Therefore, there are 3,628,800 possible codes that can be entered into the keypad.

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The number of possible ten-letter codes using the keys labeled A to J, are 3,628,800 possible codes.

The number of different codes can be found by calculating the permutations of 10 unique keys, or 10!.

The factorial of a number n (written as n!) is the product of all positive integers from 1 to n.

So, the calculation for 10 keys is:

Computing this gives:

Therefore, there are 3,628,800 possible codes for opening the garage door.

Step by step:A prediction is basically an educated guess and if you are looking for the exact word to describe that you would find that hypothesis is the correct way to tell what is a prediction.

Answer:B

Answer:

  3w + 8 – w = 4w – 2(w – 4)

Step-by-step explanation:

The simplified forms of each of these equations are ...

Answer:

being financially responsible

Step-by-step explanation:

Answer:

a misconception

Step-by-step explanation:

I think it's a misconception because she just assumed, which means she dousn't really know.

Answer:

- p ⇒ - q

Step-by-step explanation:

p : Drive over 65 miles

q : You get a speeding ticket.

So then we get the negations.

- p : You do not drive over 65 miles

- q : You don't get a speeding ticket.

So, we need to connect the sentences. For that we use ⇒.

⇒ : then.

So, the sentence, If you do not drive over 65 miles per hour, then you will not get a speeding ticket

Can be written as : -p ⇒ -q

The expression representing the proposition using the variables p and q is ¬p → ¬q, which follows the logical rule of Modus Tollens.

The proposition "If you do not drive over 65 miles per hour, then you will not get a speeding ticket" can be represented using the variables p for "You drive over 65 miles per hour" and q for "You get a speeding ticket". The logical expression for the given proposition, using logical connectives and negations, is ¬p → ¬q, which means "not p implies not q".

This is an example of the logical rule known as Modus Tollens, which can be expressed as ((p→q) ∧ ¬q) → ¬p. If the implication p→q is true, and the consequent q is false (¬q), then it must follow that the antecedent p is also false (¬p).

Answer:

$5.75

Step-by-step explanation:

First we will make an equation. We will put child tickets as x, and adult tickets as x+3.50. =

2x+7+3x=35.75=

5x=28.75

x=5.75

Answer:

  5(x -3)

Step-by-step explanation:

The GCF of 5 and 15 is 5, since 5 is a factor of 15. Factoring that out gives ...

  5x -15 = 5(x -3)

Answer:I would rather be playing Minecraft

Step-by-step explanation:

I like Minecraft

Answer:

Step-by-step explanation:

First of all we need to find the proportion of the sample. To do that, we sum all the books and then divide by the sample we need, which is 50

[tex]\frac{50}{235+290+166} =\frac{50}{691}[/tex], because we need 50 books among 691 total.

Now, with this ratio, which is the same for all sample we would make here, we find the stratified sample of books, specifically, for sports books which are 290.

[tex]s=290 \times \frac{50}{691}\\ s \approx 21[/tex]

Thefore, she should take 21 sports books.

Remember that stratified sampling refers to a type of sampling method where the population is divided into separate groups, which in this case represented the type of books. Then, we use a "probability" sample, or a proportion of the sample to apply it.

Answer:

[tex]n=3,587\ units[/tex]

Step-by-step explanation:

we know that

The term Break even is when the Revenue is equal to the Cost (the profit is equal to zero)

so

we have

[tex]C=15n+269,000[/tex]

[tex]R=95n[/tex]

Equate the equations

[tex]95n=15n+269,000[/tex]

Solve for n

[tex]95n-15n=269,000[/tex]

[tex]75n=269,000[/tex]

[tex]n=3,587\ units[/tex]

Answer:

It’s C, 3363

Step-by-step explanation:

Answer:

correct 0.25

Step-by-step explanation:

The questions relate to solving mathematical expressions involving radicals and imaginary numbers. Errors in the original expressions were corrected for accurate solutions. For example, the corrected calculation (6) - sqrt(25)/4 results in 4.75. x= (5) + sqrt(-49)/6 simplifies to 5 + 7/6i.

This question pertains to the field of Mathematics, specifically the area dealing with radicals and complex numbers. The original queries from the student need a bit of clarification since in a few cases the operations mentioned are mathematically invalid. For instance, in the question

(6) - sqrt(25)/4

, we are subtracting a square root from a number without any operator between them. Assuming we need to subtract the result of sqrt(25) divided by 4 from 6, we simplify sqrt(25) to 5 because the square root of 25 is 5. We then divide this by 4 to get 1.25. Subtracting 1.25 from 6 answers the first question as 4.75 Similarly, for the problem

x= (5) + sqrt(-49)/6

dealing with negative radicands, we know that the square root of a negative number results in an imaginary number. The sqrt(-49) simplifies to 7i (because the square root of 49 is 7 and the negative sign makes it imaginary). We then divide this by 6 to get 7/6i. Adding it to 5 we obtained the answer

5 + 7/6i

.

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Answer:

Step-by-step explanation:

Let w represent the width of the rectangle. The perimeter is twice the sum of length and width so is ...

  P = 2(L + w) . . . . . . equation for perimeter

  66 = 2((5w-3) +w) . . . substitute the given values

  33 = 6w -3 . . . . . . . divide by 2 and collect terms

  36 = 6w . . . . . . . . . add 3

  6 = w . . . . . . . . . . . .divide by 6

  L = 33-6 = 27

The length is 27 inches; the width is 6 inches.

Mary has $37, Erin has $111, and John has $119 and together they have $267 .

1. Mary has a third of the money that Erin has. Let's represent the amount of money Mary has as "m" and the amount Erin has as "e."

Based on the information given, we can write the equation:

m = (1/3)e

2. Erin has $8 less than John. Let's represent the amount Erin has as "e" and the amount John has as "j."

Based on the information given, we can write the equation:

e = j - 8

3. Together they have $267. This means the total amount of money they have is the sum of what Mary, Erin, and John have:

m + e + j = 267

Now, let's substitute the values we know into the equations to solve for the unknowns.

From equation 1, we have m = (1/3)e. Substituting this into equation 3, we get:

(1/3)e + e + j = 267

To simplify the equation, let's multiply all terms by 3 to eliminate the fraction:

e + 3e + 3j = 801

4e + 3j = 801

From equation 2, we have e = j - 8. Substituting this into the above equation, we get:

4(j - 8) + 3j = 801

Simplify and solve for j:

4j - 32 + 3j = 801

7j - 32 = 801

7j = 801 + 32

7j = 833

j = 833 / 7

j = 119

Now that we know the value of j (which represents the amount John has), we can substitute it back into equation 2 to find the value of e (the amount Erin has):

e = j - 8

e = 119 - 8

e = 111

Finally, we can substitute the values of e and j into equation 1 to find the value of m (the amount Mary has):

m = (1/3)e

m = (1/3)111

m = 37

So, Mary has $37, Erin has $111, and John has $119.

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The greatest number of identical arrangements that can be made using only the carnations and asters with no flowers left over is 6

.

The greatest number of identical arrangements that can be made using only the lilies and daffodils with no flowers left over is

12

ANSWER:

-6

-12

STEP-BY-STEP EXPLANATION:

The greatest number of identical arrangements that can be made using only the carnations and asters with no flowers left over is 6

The greatest number of identical arrangements that can be made using only the lilies and daffodils with no flowers left over is 12

Answer: The answer is d.

Step-by-step explanation: Ok, so, we know that we have 3 radio stations, each one has a 30% chance of broadcasting a song that leo likes.

Lets see the cases:

Station A has a probability of 0.30 to broadcast a song, but let's suppose that it doesn't, then we go to station B, who has te same probability, 0.30, but for this to happen, we first must have the 0.70 prob of A to broadcasting another song, so here we have a probability of (0.30)*(0.70).

Now with a similar way of thinking, if Station B also fails, we will have a probability of 0.70*0.70*0.30 for Station C succes.

Also, there is the case were station A broadcast the nice song, which we already know that is with probability of 30%.

So, the total probability will be the sum of the 3 cases: 0.30 + 0.30*0.70 + 0.30*0.70*0.70 = 0.657.

The average rate of change over the interval [0,6] is approximately 1.1666666666666667.

As a maths teacher, my aim is to make you understand the concept and how to solve this problem. Let's start by understanding the given information.

We know that the average rate of change, \(m\), of \(f(x)\) over an interval \([a, b]\) is given by:

\(m = \frac{f(b) - f(a)}{b - a}\)

We have been given that:

1) The average rate of change over the interval [0,3] is -1,
2) The average rate of change over the interval [2,3] is 5,
3) The average rate of change over the interval [2,6] is 3.

So we can set up the following system of equations from these:

We have:
\(f(3) - f(0) = -1 * 3 = -3\) (from 1)
\(f(3) - f(2) = 5 * 1 = 5\) (from 2)
\(f(6) - f(2) = 3 * 4 = 12\) (from 3)

From the second equation we can express \(f(3) = 5 + f(2)\).

Then, by substituting this into the first equation we get \(f(2) = -3 - 5 = -8\).

Now we substitute \(f(2) = -8\) into the third equation we get \(f(6) = 12 + f(2) = 12 - 8 = 4\).

And finally, using these we can find the average rate of change over the interval [0,6] is \((f(6) - f(0))/6 = (4 - (-3))/6\), we subtract \(f(3)\) from both sides and we get that \(f(0)\) is equal to \(f(3) - 3\).

This gives us that the average rate of change over the interval [0,6] is approximately 1.1666666666666667.

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Answer:

The answer to your question is: 4

Step-by-step explanation:

         first day          second day         third day

              2                        6                         10

                                                              represent them considering number two

              2                   2 + 4                   2 + 8

                                                            Here, we can notice that the increase

                                                           from day 1 to day 2 was 4 and the

                                                           increase from day 2 to three was also 4

                                                           then the slope will be 4.

Answer:

Height of second tree = 26.67 foot

Step-by-step explanation:

A tree that is 40 feet tall casts a 30-foot shadow

Height of tree = 40 feet

Height of shadow of tree = 30 feet

[tex]\frac{\texttt{Height of tree}}{\texttt{Height of shadow of tree}}=\frac{40}{30}=1.333[/tex]

So ratio of original height to shadow height is 1.333.

Now we need to find how tall is the another tree, if its shadow is 20 feet.

[tex]\frac{\texttt{Height of tree}}{\texttt{Height of shadow of tree}}=1.333\\\\\frac{\texttt{Height of tree}}{20}=1.333\\\\\texttt{Height of tree}=1.333\times 20=26.67foot[/tex]

Height of second tree = 26.67 foot

Answer:

Probability of winning the game: 1/10000

Step-by-step explanation:

The nominator in the only outcome possible for you to win the bet. So that would be your only selected fourdigit number.

The denominator is the total possibles outcomes. If the first posible number is 0000 and the last number is 9999. There are a total of 10000 possible outcomes that the selected number is drawn.

The general rule is [tex]\frac{p}{q}[/tex]

Where p are the draws where i win.

And q is the total population of possible numbers.

the answer is: b

edfvbauskygrweafvuy

Answer:

The lady is on the second door

Step-by-step explanation:

we have that

The sign on the first door reads "In this room there is a lady, and in the other one there is a tiger"

The sign on the second door reads "In one of these rooms, there is a lady, and in one of them there is a tiger."

so

The sign on the second door is true

The sign on the first door is true or false

Since one of these signs is true and the other is false, the sign in the first door must be false

therefore

The lady is on the second door

If the first sign is true, the lady is behind the first door, if the second sign is true, the lady is behind the second door.

Let's consider the first sign first. If the sign on the first door is true, then there must be a lady in that room and a tiger in the other room. This means that the sign on the second door is false, and there is no lady in the second room. Therefore, the lady must be behind the first door. If the sign on the first door is false, then the lady cannot be in the first room. This means that the second sign is true, and there must be a lady in the second room. So, the lady is behind the second door.

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Answer:

The common ratio r = 2.

Step-by-step explanation:

Now s2 = a1r and s4 = a1r^3  where a1 = first term and r = common ratio so

s4 / s2 = a1r^3  / a1r = r^2 = 32/8

r^2 = 4

r = 2.

Hey!

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

Answer:

r = 2

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

Solution:

So we know that s2 = 8 and s4 = 32.

We need to find s1!

32 / 8 = 4

8 / 4 = 2 (ratio is 2)

8 / 2 = 4

32 / 2 = 16

s1 = 4

s3 = 16

Each number is multiplied by 2.

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

Hope This Helped! Good Luck!

Answer:

$528.12

Step-by-step explanation:

499-10

489×1.08= 528.12

Answer:

The final cost is $115.74.

Step-by-step explanation:

Total amount of 30 days with tax = [tex]499+(0.08\times499)[/tex] = 538.92 dollars

This value is for 30 days, and its prorated for 7 days, so value for 7 days is =

[tex]\frac{538.92}{30}\times7[/tex] = 125.74 dollars

And $10 is off, so final cost is [tex]125.74-10=115.74[/tex] dollars

(Suppose the discount coupon is applied at the end of billing)

The final cost is $115.74.

See the attached picture:

Answer:

if you put the trigangle diagnal then do a box the a square

hope that helps

if not tell me I will change the answer with the right answers

Answer:

c. 4 - 12x.

Step-by-step explanation:

-6(-2/3 + 2x)

Using the distributive law:

= -6*-2/3 - 6*2x

=  12/3 - 12x

= 4 - 12x.

Answer:

4-12x

Step-by-step explanation:

multiply each term by -6

-6 × (2/3)

reduce the numbers with the greatest common divisor 3

Answer:

D) [tex]y = 10 * 4^{x}[/tex]

Step-by-step explanation:

Replace each function with x = 0

A) [tex]y = 1*4^{x} \\y = 1*4^{0} \\y = 1[/tex]

B) [tex]y = 3*10^{x} \\y= 3* 10^{0} \\y = 3 \\[/tex]

C) [tex]y = 2*4^{x} \\y = 2*4^{0} \\y = 2[/tex]

D) [tex]y = 10*4^{x} \\y= 10*4^{0} \\y = 10[/tex]

If you check the graph with x = 0, the value of y is between 8 and 12 so the only probably answer acoording to the alternatives is D) which gives y = 10 when x = 0

Answer:

The rectangle is 16*18

Step-by-step explanation:

The area of a rectangle is length * width and the perimeter is 2 times length * width

A = l*w

P = 2(l+w)

Replacing A and P

288 = l*w

68 = 2(l+w) => 34 = l+w => 34 - w = l

replacing l in the area

288 = (34 - w) w

w^2 - 34w + 288 = 0

(w - 16)(w - 18)

w = 16

w = 18

replacing in 34 - w = l

you get that when w = 16, l = 18 and when w = 18, l = 16

Answer:

  2 imaginary; 2 real

Step-by-step explanation:

You can factor it as ...

  f(x) = (x^2 -16)(x^2 +1) . . . . . . . . . x^2-16 is the difference of squares

  = (x -4)(x +4)(x^2 +1)

The two linear factors have real zeros; the quadratic factor has two imaginary zeros. There are 2 imaginary and 2 real zeros.

Answer:

0.2983

Step-by-step explanation:

Let X be the reading on thermometer.  Given that X is N(0,1)

We are to find the probability that a randomly selected thermometer reads between negative 0.12 and 1.02

Reqd probability = [tex]P(0.12<x<1.12)[/tex].

Since this x is already normal std variable x=z

i.e. reqd prob = [tex]P(0.12<z<1.02) =0.3461 -0.0478\\=0.2983[/tex]

Hence answer is 0.2983