A group of students was asked, "How many hours did you watch television last week?" Here are their responses. 15,14,20,17,6,11. Find the mean number of hours for these students.

Answer:

$400

Step-by-step explanation:

For the first 12 months, he saved

3200/12

= $266.7 each month

In another 12 months,

= $3,200 + x = $8000

(Use x as the unknown total money)

= 8000 - 3200

= 4,800

So, in another 12 months, his total savings will be $4,800

For each month,

= 4,800/12

= $400

Notice that:

Therefore:

Also, notice that:

Therefore:

Answer:

Solving the equations for the total number of adults and children and respective ticket costs, we find out that the number of adults and children that attended the movie theater are 13 adults and 6 children.

It is given to us that -

A total of 19 people attended the movie theater which was a mix of adults and children

Each adult ticket was $9

Each child’s ticket was $5.50.

Total cost for the party was $150

We have to find out the number of adults and children that attended the movie theater.

Let us assume that the number of adults and children that attended the movie theater be [tex]x[/tex] and [tex]y[/tex] respectively.

Since, a total of 19 people attended the movie theater including both adults and children, we can say that -

[tex]x+y=19[/tex] ------ (1)

It is also given that each adult ticket was $9 and each child’s ticket was $5.50. So,

For [tex]x[/tex] adults, the ticket price = [tex]9x[/tex], and

For [tex]y[/tex] children, the ticket price = [tex]5.5y[/tex]

It is given that the total cost for the party was $150

[tex]= > 9x+5.5y=150[/tex] ------- (2)

From equation (1), we have

[tex]x+y=19\\= > y =19-x[/tex] ------ (3)

Substituting this value of [tex]y[/tex] in equation (2),

[tex]= > 9x+5.5y=150\\= > 9x+5.5(19-x)=150\\= > 9x +104.5-5.5x=150\\= > 3.5x=45.5\\= > x=13[/tex]------ (4)

Substituting this value of [tex]x[/tex] from equation (4) in equation (3), we get

[tex]y=19-x\\= > y=19-13\\= > y=6[/tex]

Thus, solving the equations, we find out that the number of adults and children that attended the movie theater are 13 adults and 6 children.

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Answer:

The price of a loaf of bread in dollars and cents is;

Explanation:

Given that;

The ratio of a price of dozen eggs is the price of a loaf of bread is 5:3

And together dozen eggs and a loaf of bread cost $4.

The price of a loaf of bread in dollars and cents is;

The price is the ratio of a loaf of bread divided by the total ratio multiplied by the total cost of the two items.

Therefore, the price of a loaf of bread in dollars and cents is;

When -2 is multiplied by (-6) the result is 12

One of the four fundamental mathematical operations, along with addition, subtraction, and division, is multiplication.

Multiply in mathematics refers to the continual addition of sets of identical size.

When negative signs multiply each other the result is a positive sign also when positive signs multiply each other the result is a positive sign

However, when the signs are not same the result is always negative

In the given problem, the signs are same like negative 2 and negative 6

hence the result is a positive sign

and the quantity 2 multiply the quantity 6 gives 12

therefore -2 * -6 = 12

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Answer:

Annual Salary: $50,869

Semimonthly Salary: $1,956.50

Step-by-step explanation:

Semimonthly: Occurs twice a month

52 weeks in a year times weekly salary

978.25 x 52= 50,869

978.25 x 2= 1,956.50

Answer:

4/3

Step-by-step explanation:

3x + 4y = 6

4y = -3x + 6

y = -3/4 x + 3/2

For the given line: slope = -3/4

The slopes of perpendicular lines are negative reciprocals.

Perpendicular: slope = 4/3

We need to use 2 cups of lemon juice and 8 cups of water to get a total of 10 cups of lemonade.

We know that the lemonade recipe is:

1 cup of lemon juice and 4 cups of water.

This gives us a total of:

1 cup + 4 cups =  5 cups of lemonade.

Then if we want 10 cups of lemonade, we just need to use the double of each one of the ingredients.

this is:

2*(1 cup) = 2 cups of lemon juice

2*(4 cups) = 8 cups of water.

We need to use 2 cups of lemon juice and 8 cups of water to get a total of 10 cups of lemonade.

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When we are told that the weight of Jack is 13 pounds more than the weight of his brother this means that the weight of Jack (y) is the weight of his brother (x) plus 13 pounds, then we can express Jack weight with the equation:

y=x+13

Answer: 27.50

Step-by-step explanation:

The rate per hour of the water level change will be 0.75 inches/hour.

It is defined as the change in values of a dependent variable with respect to the independent variables. It is also used to find the unit rate for many conditions.

It is given that, A swimming pool is being filled with a hose. The hose fills the pool at a constant rate. The pool's water level rose 9 inches in 12 hours.

The unit rate is obtained as,

=9 inches / 12 hours

=0.75 inches/hour.

Thus, the rate per hour of the water level change will be 0.75 inches/hour.

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37 degrees plus m mus equal 90 degrees; therefore, the equation that m must satisfy is

subtracting 37 from both sides of the equation gives us

{12 , 24} are the integers from the set S which makes the inequality 4(j − 2) > 4(6 − 3j} true.

Inequality are those mathematical expression where both the sides are not equal . Instead of equality sign , we use less than or greater than sign.

Given inequality is

4(j − 2) > 4(6 − 3j}

open the brackets ,

4j − 8 > 24 − 12j

bring right terms on left side,

4j − 8 - 24 + 12j > 0

adding j terms,

16j - 32 > 0

16j >32

j > 32/16

j > 2

Integers making inequality true should be greater than 2

From set S: {-2 , 2, 12, 24}

{12 , 24 } are integers that makes inequality 4(j − 2) > 4(6 − 3j) True .

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The dimensions of the rectangular park are 200 yards by 120 yards.

We have a park. The shape of the park is a rectangle. The perimeter of the rectangular park is 640 yards. We know that the length of the rectangle is 40 yards, less than twice its width. We need to find the dimensions of the rectangular park.

Let the perimeter, length, and width of the rectangle be represented by the variables "P", "l", and "b", respectively. The perimeter of the rectangle is twice the sum of its length and width.

l = 2b - 40

P = 2*(l + b)

640 = 2(2b - 40 + b)

320 = 3b - 40

3b = 360

b = 120

Hence, the width of the rectangular park is 120 yards. We will substitute this value in the above equation to find the length.

l = 2b - 40

l = 2(120) - 40

l = 240 - 40

l = 200

Hence, the length of the rectangular park is 200 yards.

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Height of nth stair from the ground be 18n.

What do you mean by airthmetic sequence?

A sequence of the form a, a + d, a + 2d, a + 3d, a + 4d, etc. is an arithmetic sequence.

The common difference of the sequence is d, and the number  a is the first term. [tex]a_{n}[/tex]  = a + (n - 1)d is the formula for an arithmetic sequence's nth term.

The common difference, or d, is the difference between any two consecutive terms in an arithmetic sequence, and it may be calculated by deducting any pair of terms beginning with a and ending with [tex]a_{n+1}[/tex] Accordingly, d = [tex]a_{n+1}[/tex]  - [tex]a_{n}[/tex]

It is given that height of each stair is 18 cm

Height of first stair = 18 cm

Height of second stair = 18 + 18 = 36 cm

Height of third stair = 36 + 18 = 54 cm

and so on.

This data will make a sequence such as 18 , 36 , 54 , 72 ..........

Here first term , a = 18

Common difference , d = 36 - 18 = 18

For the height of nth stair , use the formula of [tex]a_{n}[/tex]

[tex]a_{n}[/tex] = a + (n-1) d

where a is the first term , d id the common difference and n is the number of terms

Here, [tex]a_{n}[/tex] = 18 + (n-1)18 = 18 + 18n - 18 = 18n

Hence, height of nth stair from the ground be 18n .  

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Okay, here we have this:

Considering the provided information, we obtain the following:

I read a math book. (p)

I start to fall asleep (q)

I drink soda (r)

I must eat a candy bar. (s)

Therefore:

I start to fall asleep if I read a math book. This can be rewritten as: "if I read a math book then I start to fall asleep". And this is p⇒q.

I drink soda whenever I start to fall asleep. This can be rewritten as:"if I start to fall asleep then I drink soda" . And this is q⇒r.

If I drink a soda, then I must eat a candy bar. And this is r⇒s

Now, we need to check: "If I read a math book, then I eat a candy bar.". That is p⇒s.

So, according with the table this argument satisfy the Transitive Reasoning, so this means that the argument is valid.

Answer:

Step-by-step explanation:

When moving in opposite directions from the same point the speeds add up.

Total speed:

Distance is 300 km, find the time.

Answer:

Time = 3 hours

Step-by-step explanation:

The total speed is,

→ 40 km/h + 60 km/h

→ 100 km/h

Formula we use,

→ v = d/t

Then the time taken will be,

→ v = d/t

→ 100 = 300/t

→ 100 × t = 300

→ t = 300/100

→ [ t = 3 ]

Hence, answer is 3 hours.

The constant of variation for the given direct variation is 2.

So, the origin (0, 0) and the supplied line are intersected by it (3, 6)

Slope formula: m = y2 - y1/x2 - x1

Where,

Substitute values as follows:

Therefore, the constant of variation for the given direct variation is 2.

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Correct question:

Determine the constant of variation for the direct variation given.

A. 1/2

B. 1

C. 2

A histogram with a symmetric distribution looks like this:

Leaving aside the quality of the drawing, the left and the right side of the histogram are identical if we split it by the red line. Is like having a reflexion axis.

Now, we have to discuss what of the 2 data sets may have such an histogram. This means that we must think which of them may have the same number of ocurrences for very short and very long durations, for regular to short and regular to long durations, and so on and so furth.

Pop album tracks:

In the same album we may have arround 12 tracks (small number), all of them with a duration of arround 3 minutes. We could imagine a histogram like the following:

All the songs last between 170 and 190 seconds, and one or two last a little bit more.

Phone talks:

In this case, we can think that there are some calls to say something like "mom, I'm on my way home" and other like "let me tell you the hole movie I saw yesterday night", so very short and very long calls, but they are no so common. There are a lot of "regular" calls that might last for 60 seconds.

Also, in this case, we are taking into account all the calls from people in the school in one day (yesterday), so, may be 1.000 calls? The actual number really doesn't matter, but the fact that the number is very big. Because of the big number, we can expect a symmetric distribution.

The domain of a function is the value x that varies.

here x is varying from -4 and it is going to infinity

so the answer is

the domain for the given graph is

So the answer is option (A).

Answer:

Below

Step-by-step explanation:

Slope-y-axis -intercept form is  y = mx + b

y = - 2/5 x + 3     Done.

Answer:

False

Step-by-step explanation:

Answer:

3v

Step-by-step explanation:

When we are dividing two terms with the same base and different exponents, we keep the base and subtract the exponents. So

The critical values for a two-tailed t test of this claim is ± 2.131.

From the question, we have

The null and alternative hypothesis are listed below. u = 41

Additional Hypothesis: 41

Region of Rejection

This test has two tails, with = 0.05 and df = 15.

T has a critical range between -2.131 and 2.131.

Therefore, if t =-2.131 or t =2.131, reject H0.

Hypothesis:

In statistics, hypothesis testing is used to identify the variance in the group of data that results from genuine variation. Based on the presumptions, the sample data are taken from the population parameter. The hypothesis can be divided into many categories. A hypothesis is described in statistics as a formal statement that explains the relationship between two or more variables belonging to the specified population. It aids the researcher in converting the stated issue into an understandable justification for the study's findings.

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Answer: 800 students

If there are 40 students who participated and that's 5% of the entire school. 100% of the entire school would be 800.

The function y=3[tex](7/5)^t[/tex] In the function f (x) = bx when b > 1, the function represents exponential growth represents  exponential growth.

Therefore,

The function y=3[tex](7/5)^t[/tex] In the function f (x) = bx when b > 1, the function represents exponential growth represents  exponential growth.

Exponential growth and decay are the two different kinds of exponential functions.

When b > 1, the function

f (x) = bx represents exponential development.

If 0 b 1, then the function

f (x) = bx depicts exponential decay.

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The division of 3384 by 47 will give 72 and some ways for checking the reasonableness of solutions include rounding numbers, making numbers compatible, and using characteristics of operations.

A technique of division is a means of dividing something. The division techniques are classified into three groups based on their complexity degree. These are the chunking method, also known as division by repeated subtraction, the short division method, sometimes known as the bus stop method, and the long division method.

Here,

3384/47=72

Some strategies for determining the reasonableness of answers include rounding numbers, making numbers compatible, and using properties of operations.

Rounding numbers, making numbers compatible, and utilising features of operations are some methods for determining the reasonableness of answers. The division of 3384 by 47 will give 72.

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Answer:

Eating Is importnat

Step-by-step explanation:

Hello me is cool man i am good at math 2-1=110 so ye hello bye

Let x be the amount invested at 9% and y the amount invested at 6%.

Then we have:

I) x + y = $14,929

II) 0.09x - 0.06y = $1,139.91

First, we multiply equation II by 100:

9x - 6y = $113,991

Now, we add to it 6 times equation I:

15x = $203,565

x = $13,571

Now, we replace x in equation I to find y:

$13,571 + y = 14,929

y = $1,358

1) Given the altitude BD, let's find its measure using some trigonometric relations on the Right Triangle:

1.2) Pythagorean Theorem to find the other leg

b²=a²+c² The hypotenuse, in this case, is labeled as "b"

32²=16²+a²

1024=256+a²

1024-256=a²

768=a²

√768=√c²

a=16√3

2) Now, let's use one trigonometric relation on the Right Triangle, based on the similarity of the triangles:

ah=bc Adjusting it:

bh=ac

32h=16√3*16

32h=256√3

h=256√3/32

h=8√3 ≈ 13.85 ≈13.9

3) So the altitude BC of that triangle is approximately 13.9

Answer:

55% decay, the other guy is wrong

Step-by-step explanation:

Trust me