Last year at a certain high school, there were 132 boys on the honor roll and 90 girls on the honor roll. This year, the number of boys on the honor roll increased by 25% and the number of girls on the honor roll increased by 20%. By what percentage did the total number of students on the honor roll increase? Round your answer to the nearest tenth (if necessary).

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.

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.

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:

HOPE IT HELPS YOU

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If this is calculus AP the answer will be right

=73

you add both angles 56 and 51 then you compare it with the high of the rectangle 7.9 ft to get the answer.

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:

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.

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!

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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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.

Answer:

The answer to your question is: 48.6 ft

Step-by-step explanation:

See the picture below

Use the Thales's theorem to solve this exercise

                 x / 27 = 45 / 25

                 x = 45(27) / 25

                x = 1215 / 25

                x = 48.6 ft

Answer: 48.6

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:

-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:

[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:

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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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:

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

The common denominator is 42

Given,

5/6-2/7

Now,

Take LCM of 6 and 7 for obtaining the common denominator,

LCM of 6,7  

As 7 is a prime number and 6 is non prime number than there LCM is obtained by multiplying the two numbers .

Hence LCM  is  6* 7

LCM = 42

Now

Multiply the denominators 6 and 7

Hence the result will be,

35 - 12 /42

23/42 .

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Final answer:

To find the common denominator of 5/6 and 2/7, multiply each fraction by a factor that will give the least common denominator of 42, then subtract the resulting fractions with the same denominator.

Explanation:

To find the common denominator for the fractions 5/6 and 2/7, we need to determine a shared denominator that both original denominators can be multiplied into without changing the value of the fractions. Multiplication is the key technique to creating a common denominator. In this case, the least common denominator (LCD) is 42 because 6 and 7 have no common factors other than 1, and 6 times 7 equals 42. To transform these fractions, we multiply the numerator and denominator of each fraction by the number that will give us our LCD as the new denominator.

To calculate the difference using the LCD:

Multiply 5/6 by 7/7 to get 35/42.

Multiply 2/7 by 6/6 to get 12/42.

Now, subtract the two new fractions: 35/42 - 12/42 = 23/42.

It is essential to remember that we never add or subtract the denominators when combining fractions; we only combine the numerators after establishing a common denominator.

Hello!

if he bought it with no interest applied, then the last payment will be $1400

1670 - 100 = 1570

if he has to pay it off in 18 months (1 and a half years), and only pays $10 per month, that means he will pay off $170 before the last payment is due.

1570 - 170 = 1400

so his last payment will have to be $1400 to pay it off completely

I hope this helps, and have a nice day!

$1,400 is the amount of his last payment.

1. First, determine the total amount Adam needs to pay after the down payment. Adam made a $100 down payment on the $1,670 system, so the remaining amount to be paid is:

[tex]\[ \text{Remaining amount} = \$1,670 - \$100 = \$1,570 \][/tex]

2. Next, calculate the total number of monthly payments Adam will make. Since he agreed to pay off the purchase in 1 and a half years, and there are 12 months in a year, the total number of payments is:

[tex]\[ \text{Total payments} = 1.5 \times 12 = 18 \text{ payments} \][/tex]

3. The minimum monthly payment is $10. To find out how much Adam will have paid after 17 payments (one less than the total number of payments), we multiply the monthly payment by the number of payments:

[tex]\[ \text{Amount paid after 17 payments} = 17 \times \$10 = \$170 \][/tex]

4. Now, subtract the amount paid after 17 payments from the remaining amount to find the last payment:

[tex]\[ \text{Last payment} = \$1,570 - \$170 = \$1,400 \][/tex]

Therefore, the amount of Adam's last payment will be $1,400.

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:

G1=36,G2=12,G3=4,G4=4/3,G5=4/9

Step-by-step explanation:

Since the nth term is given by;

Gn= 36(1/3)^n-1, then, substitute the values of n as 1,2,3,4 and 5 to get the values of G1,G2,G3,G4 and G5 respectively.

G1=36(1/3)^1-1 = 36

G2= 36(1/3)^2-1= 12

G3= 36(1/3)^3-1 = 4

G4= 36(1/3)^4-1 = 4/3

G5= 36(1/3)^5-1=4/9

Answer:

36, 12, 4, 4/3, 4/9.

Step-by-step explanation:

We find each term by substituting the sequence number.

So the first term (where n = 1)

= 36(1/3)^(1-1)

=  36(1/3)^0

=  36 * 1

= 36.  

The second term is 36(1/3)^(2-1)  = 36 * 1/3

= 12.

We can  find subsequent terms by just multiplying the previous term by 1/3 so the third term = 12 * 1/3 = 4.

So the first 5 terms are   36, 12, 4, 4/3, 4/9.

the answer is: b

edfvbauskygrweafvuy

Answer: B) 18.2 inches

Step-by-step explanation:

We know that the circumference of a circle is given by :-

[tex]\text{Circumference}=\pi d[/tex]

Given : Diameter of a circle = 5.8 inches

Then, the circumference of the circle will be :-

[tex]\text{Circumference}=(3.14)\times5.8=18.212\approx18.2\text{inches}[/tex]

Hence, the circumference of the circle = 18.2 inches

Answer:

Option B.

Step-by-step explanation:

It is given that diameter of the circle is 5.8 inches.

[tex]d=5.8[/tex]

Radius of the circle is

[tex]r=\dfrac{d}{2}=\dfrac{5.8}{2}=2.9[/tex]

We need to find the circumference of the circle.

Circumference of a circle is

[tex]C=2\pi r[/tex]

Substitute π= 3.14 and r=2.9 in the above formula, to find the circumference of the circle.

[tex]C=2(3.14)(2.9)[/tex]

[tex]C=18.212[/tex]

Round the answer to the nearest tenth.

[tex]C=18.2[/tex]

The circumference of the circle is 18.2 inches. Therefore, the correct option is B.

Answer:

(a) The temperature at a specific location as a function of time.

This is a continuous function as the temperature cannot increase in an instant like time.

(b) The temperature at a specific time as a function of the distance due west from New York City.

This is a continuous function as the temperature in one location is affected by its neighboring places.

(c) The altitude above sea level as a function of the distance due west from New York City.

The altitude above sea level can be discontinuous at a cliff, or continuous at very deep hole.

(d) The cost of a taxi ride as a function of the distance traveled.

This is a discontinuous function as the cost still raises if you make a stop.

(e) The current in the circuit for the lights in a room as a function of time.

This is a discontinuous function as the function takes the value of 0 when the switch is off and 1 when the switch is on.

The electron traveling speed makes this discontinuous.

Final answer:

a) Continuous

b) Continuous

c) Continuous

d) Discontinuous

e) Continuous

Explanation:

In examining whether a function is continuous or discontinuous, we consider if there are any interruptions in the value of the function as the input changes. Here's an analysis for each given scenario:

A continuous probability function has been defined such that probability equals area under the curve of the function over an interval. For real-world phenomena like temperature and altitude, these functions tend to be continuous as they reflect gradual changes over time or distance.

Final answer:

Juanita will arrive at her aunt's home around 3:00 pm after accounting for 5 hours and 20 minutes of driving time and a 40-minute break to her journey that began at 9:00 am.

Explanation:

The question is asking us to estimate the arrival time for Juanita who is traveling to her aunt's home 320 miles away. Juanita leaves at 9:00 am, drives at an average speed of 60 miles per hour, and plans to take a 40-minute break halfway through her trip.

To estimate the time it will take Juanita to reach her aunt's house, we need to calculate the driving time and add the time for the break.

The driving time is calculated by dividing the total distance by the average speed. The total driving time is 320 miles \'d'vided by' 60 miles per hour, which equals approximately 5.33 hours or 5 hours and 20 minutes of driving time.

Next, we add the 40-minute break to the driving time. Convert 40 minutes to hours by dividing by 60, which is approximately 0.67 hours or 40 minutes. Now, we sum the hours: 5 hours and 20 minutes driving + 40 minutes break = 6 hours total time spent.

Juanita left at 9:00 am, so we add the 6 hours to this time. Therefore, Juanita should arrive at her aunt's home around 3:00 pm.

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:

  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:

  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:

y = 0.5x

Step-by-step explanation:

Given that x and y vary directly then the equation relating them is

y = kx ← k is the constant of variation

To find k use the condition x = 1, y = 0.5, then

k = [tex]\frac{y}{x}[/tex] = [tex]\frac{0.5}{1}[/tex] = 0.5, hence

y = 0.5x ← equation of variation

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: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:

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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