There are 120 students surveyed (30 from each grade). Use the table below to determine that probability that a student selected at random is in 11th grade or selected Math as their favorite subject?

Find P (11th or math)
a. 7/120
b. 1/2
c. 67/120
d. 59/120

Answer:

I'm not quite sure but I believe he sold 39 Boxes for $3.50 a box.

Step-by-step explanation:

-You would divide 702 by 18 Since he puts them in boxes of 18.

702/18= 39

-Then you would divide $136.50 by 39

136.5/39= 3.5

Which means each box was $3.50 a piece

Tyler sold 39 boxes of cookies, with the price of each box is $3.5

Further explanation

Given:

Tyler baked 702 cookies

He sold them in boxes of 18 cookies

Tyler earned $136.50

Question:

How many boxes of cookies did Tyler sell?

to find out how many boxes of cookies he sold we are going to divide the total cookies he made with the number of cookies in each box

[tex]\boxed {= \frac{702}{18} = 39 }[/tex]

so there were 39 boxes of cookies. He sold all of them and earned $136.50. Price per box would be:

[tex]\boxed {\frac{136.50}{39} = 3.5 }[/tex]

With total earned $136.50, Tyler sold 39 boxes of cookies at $3.5/box

Mixed fraction brainly.com/question/213168

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Keywords: mixed fraction, fraction, division, division big numbers, math word problem, multiplication

Answer:

Option B is correct.

[tex]f(t) = 88(1.025)^t[/tex] represents the population of the pack of wolves after t years

Step-by-step explanation:

The exponential growth function is given by;

[tex]f(t) = a(1+r)^t[/tex]               ......[1]

where

a represented the initial value

r represents the rate(in decimal)

t represents the time in years

As per the given statement: The population of a pack of wolves is 88. Also, the population is expected to grow at a rate of 2.5% each year.

⇒ a = 88 and  r =2.5% = 0.025.

Substituting these values in equation [1], we have;

[tex]f(t) = 88(1+0.025)^t[/tex]

or

[tex]f(t) = 88(1.025)^t[/tex]

Therefore, the population model of the pack of wolves after t years is given by:  [tex]f(t) = 88(1.025)^t[/tex]

Final answer:

The correct function equation that represents the population of the pack of wolves after t years is f(t) =[tex]88(1.025)^t[/tex]

Explanation:

The population of a pack of wolves can be represented by an exponential function equation. In this case, the population is expected to grow at a rate of 2.5% each year.

The correct function equation that represents the population of the pack of wolves after t years is f(t) = [tex]88(1.025)^t[/tex]

This equation takes the initial population of 88 and multiplies it by 1.025 raised to the power of t, which represents the number of years.

Answer:

continuous.

Step-by-step explanation:

Given function is [tex]f(x)=5x^4-9x^3+x-7[/tex].

and value of a = 7.

Now we need to find if the given function [tex]f(x)=5x^4-9x^3+x-7[/tex] is continuous or not.

By definition of continuity, we know that a function is continuous at a given point if both left and right hand limits are equal.

Left Hand Limit = LHL

[tex]LHL=\lim_{x\rightarrow 7^-}f(x)=5(7)^4-9(7)^3+(7)-7=8918[/tex]

Right Hand Limit = RHL

[tex]RHL=\lim_{x\rightarrow 7^+}f(x)=5(7)^4-9(7)^3+(7)-7=8918[/tex]

Since both limits are equal at a=7 so we can say that given function is continuous at a=7

First is "given", but we don't have to worry about that

Second is "subtraction property" because we subtract 2/3 from both sides

Third is "subtraction property" for similar reasons as before, but we subtract 3x from both sides

Fourth is "division property" because we divide both sides by -1. Note how the inequality sign flips. This is because we divide both sides by a negative number.

The last would be something along the lines of "simplify" or "reduce"

Answer:

C

Step-by-step explanation:

We can use the formula for chords ,and tangents

< ABC = 1/2 (ADYC - AC)

61 = 1/2(y - 119)

Answer:

Option C.  [tex]\frac{1}{2}[/tex] ( y-119 ) = 61

Step-by-step explanation:

In the given diagram AB and AC are tangents to circle O.

Length of arc AC = 119°

Inscribed angle between tangents AB and BC is 61°

We have to find the measure 'y' of arc ADC.

As we know the formula

m∠A = [tex]\frac{1}{2}[/tex] [m( arc ADC ) -m(arc AC)]

Now we put the values in this equation

61 = [tex]\frac{1}{2}[/tex] ( y-119 )

So Option C 61 = [tex]\frac{1}{2}[/tex] ( y-119 ) is the answer.

Answer:

5.497787144 miles

Step-by-step explanation:

Remember that circumference of a circle can be calculated with:

[tex]2\pi r[/tex]

r=radius

We also know that the radius is just a half of the diameter.

So, the radius of the track is (1/2)/2=1/4 miles

Now, use the circumference of a circle formula to find how much she runs in 1 lap.

[tex]2\pi (\frac{1}{4} )[/tex]

Simplify

[tex]\frac{\pi }{2}[/tex]

This is how much she runs in 1 lap.

Multiply by 3.5 for 3 and a half laps.

[tex]\frac{\pi }{2}*3.5[/tex]

The answer is around 5.497787144 miles.

In the described insurance policy, 80% of the first $20,000 is covered, which is $16,000. The remaining amount from the total cost of $72,000 is $52,000, of which 60%, or $31,200, is covered. Therefore, the total amount paid by the insurance policy is $47,200.

The subject is dealing with a situation of an insurance coverage. The insurance policy pays 80% from the first $20,000 and 60% from the remaining amount of the medical bill. If the total amount of the medical bill is $72,000, we have to find out how much would the policy pay.

So, the insurance policy will pay $47,200 towards a total medical bill cost of $72,000.

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A function in mathematics is a mapping where each input has exactly one output. A mapping is not a function if any input in the mapping maps to multiple outputs.

In mathematics, a function is a relation between a set of inputs and a set of permissible outputs with the property that each input is related to exactly one output. So a mapping is not a function if any input maps to multiple outputs.

For instance, if we have a mapping {a -> 1, b -> 2, c -> 1}, it is a function because even if 'a' and 'c' have the same output '1', it's okay because each individual input ('a', 'b', 'c') relates to exactly one output. But if we have a mapping {a -> 1, a -> 2}, this is not a function because 'a' maps to two different outputs ('1' and '2').

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Answer: Total payments = $153,120

               Interest paid = $64,120

Step-by-step explanation:

$638 x 12 months x 20 years = $152,120

 Paid:       $152,120

Borrowed: $89,000

Difference: $64,120

Answer:

1.  lim x→0  7e^x  =7

2.  lim f(x) does not exist

f(3) = 5

3.  1/12

Step-by-step explanation:

f(x) = 7e^x

lim x→0  7e^x  =7

AS we can see from the graph  it is around 7

We know that e^0 =1  so 7*1 =7

2.  The limit does not exists, because approaching the limit from the left f(3-) is 3.  Approaching the limit from the right f(3+) is 5.  f(3) = 5  since there is a closed circle at 3 with a value of 5.

3.  f(x) = x^ 1/2

We take the derivative

f'(x) = 1/2 x^ (-1/2)

    = 1/2 1/( x^.5)

To find it at x=36

     =  1/2 * 1/( 36^.5)

    = 1/2 * 1/6

   = 1/12

Since they are not equal, the limit does not exist.

Answer: B. (3,9)

Step-by-step explanation:

7x -5y = -24(times by -1)

–9x + 5y = 18

-2x=-6

X= 3

(Substitute 3 in)

-9(3)+5y=18

-27+5y=18

5y=45

Y=9

Answer: 6.71

=======================================

Work Shown:

The longest horizontal portion of length 6 breaks up into two equal pieces of length 3 each. Focus on the smaller right triangle on the right hand side. This right triangle has legs of 3 and 6. The hypotenuse is x.

Use the pythagorean theorem with a = 3, b = 6, c = x to find the value of x

a^2 + b^2 = c^2

3^2 + 6^2 = x^2

9 + 36 = x^2

45 = x^2

x^2 = 45

x = sqrt(45)

x = 6.7082039

x = 6.71

Answer: No; they do not have congruent corresponding angles.

Answer:

choice A

Step-by-step explanation:

Closed circles on the end of  the number line means we include it in our inequality  (has an equals)

-3 <= x <= 1

Answer:

The answer is A.

Step-by-step explanation:

Answer:

y = -3

x = -2

Step-by-step explanation:

2x - y = 17

y = x - 10

Adding these 2 equations:-

2x + y - y = 17 + x - 10

2x = x + 7

x = 7  

Now substitute for x  in the first equation:-

2(7)  - y = 17

14 - 17 = y

y = -3   (answer)

Last equation:-

x + 3y = 16

4x - 5y = -38

Now multiply first equation by 5 and the second by 3:-

5x + 15y = 80

12x - 15y = -114   Adding:-

17x = -34

x = -2  (answer)

According to its Lewis structure, the sulfur dioxide (SO2) molecule forms 0 single bonds, 2 double bonds, has 0 triple bonds, and 1 lone pair of electrons on the central (sulfur) atom.

The Lewis structure of sulfur dioxide (SO2) can be represented as :

:O=S=O:

Here, sulfur is the central atom. It forms one double bond with each oxygen atom. There are no single or triple bonds present, and the sulfur atom has one lone pair of electrons.

Therefore, the correct count of single bonds, double bonds, triple bonds and unshared pairs of electrons on the central atom, in that order, is - 0, 2, 0, 1

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In the Lewis structure for SO2, or sulfur dioxide, there are zero single bonds, two double bonds, zero triple bonds, and one unshared pair of electrons on the central sulfur atom. The correct sequence for SO2 is therefore 0, 2, 0, 1.

SO2, or sulfur dioxide, consists of a central sulfur atom with oxygen atoms on both sides. The Lewis structure for SO2 includes one lone electron pair and double bonds with the two oxygen atoms. To calculate this, we first count the valence electrons from the atoms: sulfur has 6 valence electrons and each oxygen atom has 6 as well, for a total of 18 valence electrons.

To start the Lewis structure, we place the least electronegative atom - sulfur - in the center and the two oxygen atoms on each side. We then place a single bond between the sulfur and each oxygen. This accounts for four valence electrons (2 from each bond), leaving us with 14 more. Next, we distribute the remaining electrons to the oxygen atoms as lone pairs, as necessary, to satisfy the octet rule. If there are still electrons left over, we create double bonds until we have used all of the electrons. Here, it results in double bonds between sulfur and each oxygen atom with one lone pair on the sulfur.

Given these steps, for SO2, we have 0 single bonds, 2 double bonds, 0 triple bonds, and 1 unshared pair of electrons on the central atom, sulphur. So the correct option would be 0, 2, 0, 1.

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Answer:

the linear function is y = x +3

A is correct option.

Step-by-step explanation:

The slope intercept form of a line is given by y = mx +b, where b is the y-intercept and m is the slope.

For y-intercept, x =0

From the given table, at x = 0, f(x)=3

Therefore, y-intercept, b= 3

Hence, the equation is in the form y = mx+3

Now, use the point (1,4) to find m

4 = m(1)+3

4 = m +3

m = 1

Therefore, the linear function is y = x +3

A is correct option.

Answer:

The data is skewed, and the lowest number of crackers in a package was 7

Step-by-step explanation:

Hi,

First of all, since the question was incomplete due to the missing capture of the range shown on the box plot. I attached it for you so I could answer your question as well.

Taking into consideration the attached image's information, symmetric would be right down the middle, but it is not.

The image shows that it is positively skewed with the lowest number being 7.

Answer:

c

Step-by-step explanation:

did it on edge

[tex]y=\dfrac{1}{2}x+2\\\\for\ x=0\to y=\dfrac{1}{2}(0)+2=0+2=2\to(0;\ 2)\\\\for\ x=2\to y=\dfrac{1}{2}(2)+2=1+2=3\to(2;\ 3)\\\\y=2x-1\\\\for\ x=0\to y=2(0)-1=0-1=-1\to(0;\ -1)\\\\for\ x=2\to y=2(2)-1=4-1=3\to(2;\ 3)\\\\Look\ at\ the\ picture.\\\\Answer:\ (2;\ 3)\to x=2;\ y=3.[/tex]

Answer:

8,600 acres are old-growth trees.

Step-by-step explanation:

You can find this by multiplying the percentage by the overall number of acres

20% * 43,000 = 8,600

Answer:

There are 86 acres of old-growth trees.

Step-by-step explanation:

In order to answer the question, we need to calculate the 0.2% of 43,000.

We can calculate this stating that exists a linear relationship between the percentage and the amount of acres. We also need to state that 43,000 acres are the 100% of the acres.

Therefore, we can write the following equation to calculate the percentage :

[tex]\frac{43,000}{100}=\frac{x}{0.2}[/tex]

If we solve the equation in terms of ''x'' :

[tex]x=(\frac{43,000}{100}).(0.2)=86[/tex]

[tex]x=86[/tex]

We find that if 43,000 acres are the 100% of the acres ⇒ The 0.2% of the acres are 86 acres (in which there are old-growth trees).

Answer: 12 inches

Step-by-step explanation: First you add multiply then subctrtrac.t

The size of the squares cut from each corner of the cardboard is 3 inches to create an open box with a bottom area of 60 square inches.

We need to compute the size of the squares cut from each corner of the cardboard to create an open box with a bottom area of 60 square inches. We begin with a rectangular piece of cardboard measuring 12 inches by 16 inches.

Let x be the length of the sides of the squares that are removed. When the squares are cut out and the sides are folded up, the new dimensions of the bottom of the box will be (12 - 2x) inches by (16 - 2x) inches. Thus the area of the bottom will be:

Expanding the left side of the equation:

Combine like terms and set the equation equal to zero:

Divide all terms by 4 to simplify:

Factor the quadratic equation:

Setting each factor equal to zero gives us the possible values for x:

Since the cardboard's dimensions are only 12 inches by 16 inches, x cannot be 11, because it would not leave any base for the box. Therefore, x must be 3 inches.

Hence, the lengths of the sides of the squares removed from each corner are 3 inches.

Answer:

87 people in the restaurant, 45 people eat in the car and 57 people eat at home.

Step-by-step explanation:

Let x be 'restaurant-purchased meals eaten in a restaurant', y be the 'restaurant-purchased meals eaten in a car' and z be the 'restaurant-purchased meals eaten at home'.

We can use the given information "the total number of​ restaurant-purchased meals that the average person will eat in a​ restaurant, in a​ car, or at home in a year is 189" to write an equation [tex]x+y+z=189[/tex].

We can use the information "the total number of these meals eaten in a car or at home exceeds the number eaten in a restaurant by 15" to write another equation [tex]y+z=x+15[/tex].

We can use the information "thirty more​ restaurant-purchased meals will be eaten in a restaurant than at home" to write the third equation as x=z+30

Now we need to solve this system of three equations to get the values of x, y and z.

We can solve for x directly from the first two equations.

[tex]x+x+15=189\\2x=174\\x=87[/tex]

Substituting this value of x in the third equation we can get the value of z.

[tex]87=z+30\\z=57[/tex]

Finally, we can substitute the values of x and z in the first (or second) equation to get the value of y.

[tex]87+y+57=189\\y+144=189\\y=45[/tex]

Therefore, 87 people in the restaurant, 45 people eat in the car and 57 people eat at home.

Answer:

$200 will be price of 2 pairs

Step-by-step explanation:

It is given that the price of one pant is $80

The second is given at half price which is $40

but in the case of pants buying or anything buying when we are given an off then after buying an item the same discount is given for all

so as he bought one pant then the other pant will be given at half price

now the third pant will also be given at half price i.e: $40

fourth price will also be given at $40

so four pants will become 2 pairs

price of 2 pairs = $80+$40+$40+$40

                         =$200

Answer:

15.79% is the percent increase in price

Step-by-step explanation:

As per the given statement: In January the price of a kilogram of brand X rice was $7.60.

⇒ Price of  brand X in January =  $7.60

Also, it is given that in May the price of a kilogram of Brand X rice became $8.80.

⇒ Price of brand X in May = $8.80

Increase in price = $8.80 - $7.60 = $1.20

To find the percent increase in price;

[tex]Percent increase in price =\frac{Increase in price}{Price of X in January} \times 100[/tex]

                                         = [tex]\frac{1.20}{7.60} \times 100 = 15.79\%[/tex]

Therefore, the percent increase in price approx. is, 15.79%

The price of a kilogram of brand X rice increased by approximately 15.79% from January ($7.60) to May ($8.80).

To find the percent increase in price of the brand X rice from January to May, we first calculate the difference in price and then divide it by the original price.

After that, we multiply the result by 100 to get the percentage.

The original price in January was $7.60, and the new price in May was $8.80.

The difference in price is $8.80 - $7.60 = $1.20.

Now we divide the difference by the original price: $1.20 / $7.60 = 0.1579.

To find the percent increase, we multiply this number by 100: 0.1579 x 100 = 15.79%.

So, the price of a kilogram of brand X rice increased by approximately 15.79% from January to May.

The number of text messages sent by Juan in a month is 34.

For the given question;

Total bill charged to Juan's cell by phone company is $52.

phone service = $35.

text message charge = $0.50 each.

The total cost for message is 52 - 35 = $17.

The number of messages = total message cost/ charge of each message

The number of messages = 17 / 0.5

The number of messages = 34

Thus, the number of text messages sent by Juan in a month is 34.

To know more about the division, here

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Answer:

If Kevin can ride 13/2 kilometers in 3/5 of an hour then he can ride 13/6 in 1/5 of an hour. If you multiply 1/5 of an hour by 5 you would get an hour which would also be 5x the distance as 13/6. Kevin can bike 65/6 or 10 and 5/6 kilometers in an hour.