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The required linear equation is given by y=10x + 15

The data collected by Harvard Business School plots the linear relationship of business startup success vs. Time.

The statistic is the study of mathematics which deal with relations between comprehensive data.

As clearly, points represents on graph startup success vs Time
part of a straight line
so we take two points on graph at (1,25), (2,35)
now equation of line

 [tex]y-y_1=\frac{y_2-y_1}{x_2-x_1} (x-x_1)[/tex]
= [tex]y-25=\frac{35-25}{2-1} (x-1)[/tex]
[tex]y=10x+15[/tex]

Thus, The required expression is given by y=10x + 15 which show the relation ship between startup success Vs time

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The set of values which might correspond to the circle are A = 1, B = 1, C = 0, D = -8 and E = 7.

Mathematically, the general form of the equation of a circle is given by;

(x - h)² + (y - k)² = r²

Where:

Based on the information provided that the center of the circle lies on the y-axis, we have:

(h, k) = (0, 4)

Radius, r = 3 units.

Substituting the given parameters into the formula, we have;

(x - 0)² + (y - 4)² = 3²

x ² + y² - 8y + 16 = 9

x ² + y² - 8y + 7 = 0.

Therefore, the set of values which might correspond to the circle are A = 1, B = 1, C = 0, D = -8 and E = 7.

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Complete Question:

The general form of the equation of a circle is Ax² + By² + Cx + Dy + E = 0, where A = B. If the circle has a radius of 3 units and the center at (0, 4), which set of values of A, B, C, D, and E correspond to the circle?

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[tex] \frac{36 - 40}{2 - 1} = 4[/tex]

The volume of the rectangular prism is 27/2 square units

The volume is calculated as:

Volume = Base area * Height

This gives

Volume = 27/5 * 5/2

Evaluate the product

Volume = 27/2

Hence, the volume of the rectangular prism is 27/2 square units

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The solution to the absolute value inequality is (-3,2).

Absolute Value Inequality is the expression which contains absolute function as well as inequality signs .

The absolute value inequality is represented in the form of  a line

Interval of the function is  -3 to 2

As the intervals are represented by open circles, so  -3 and 2 are exclusive of the values of the inequality.

Therefore the another way to show the solution is

-3 < x < 2

or

(-3,2)

Therefore,  the solution to the absolute value inequality is (-3,2).

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Answer:

c)102 degrees

Step-by-step explanation:

The price of the car after 10 years is $7524.25 if the new car costs $34,000 and its value depreciates at 14% of its value each year.

An equation is an expression that shows the relationship between two or more variables and numbers.

Let y represent the value of the car after x years. A new car costs $34,000 and its value depreciates at 14% of its value each year. Hence:

y = 34000(0.86)ˣ

After 10 years:

y = 34000(0.86)¹⁰ = 7524.25

The price of the car after 10 years is $7524.25 if the new car costs $34,000 and its value depreciates at 14% of its value each year.

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Answer:

not enough information given

Step-by-step explanation:

as the rules say, we need at least 3 pieces of information :

2 angles and a side, or 3 angles (or there are other options like 2 sides and one angle or 3 sides).

but here we get 1 side and 1 angle. the shared point does not give us anything in that regard.

so, not enough information.

Answer: Parallel lines have equal slopes

If the slope of line s is -32 or -3/2, then the same applies to line t

Parallel lines have equal slopes but different y intercepts. These lines do not cross or intersect.

Answer:  -32

Step-by-step explanation:

The two lines are parallel which means these two lines have the same slope. Therefore, the slope of line t is -32.

The percentage of the survey respondents that do not like both hamburgers and burritos is 16.09%.

The percentage of the survey respondents that do not like both hamburgers and burritos will be:

= 33/205 × 100

= 16.09%

The marginal relative frequency of all customers that like hamburgers will be:

= 134/205

= 0.65

The data point that has strongest association of its two factors will be:

Those who like hamburger and burrito = 39/134 = 0.29

Those who like hamburger and not burrito = 95/134 = 0.71

Those who like burrito but not hamburger = 38/71 = 0.53

Those who do not like hamburger or burrito = 33/71 = 0.47.

Therefore, the data point that has strongest association of its two factors will be those who like hamburgers but not burritos.

A food truck did a daily survey of customers to find their food preferences. The data is partially entered in the frequency table. Complete the table to analyze the data and answer the questions:

Likes hamburgers Does not like hamburgers Total

Likes burritos 38 77

Does not like burritos 95 128

Total 134 71

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[tex]\Large\maltese\underline{\textsf{A. What is Asked}}[/tex]

What is the absolute value of -6.2? It's _____________.

[tex]\Large\maltese\underline{\textsf{B. This problem has been solved!}}[/tex]

No matter what the number is, its absolute value is always positive.

The number -6.2 is not an exception, there's nothing special about that number. Its absolute value is also positive.

[tex]\cline{1-2}[/tex]

[tex]\bf{Result:}[/tex]

              [tex]\bf{=6.2}[/tex]

[tex]\LARGE\boxed{\bf{aesthetic \not1 \theta l}}[/tex]

The absolute value of -6.2 is 6.2 (option 1).

The absolute value of a number represents its distance from zero on the number line, regardless of its sign. For the value -6.2, the distance from zero is 6.2 units. Therefore, the correct answer is 1. 6.2. Option 1 accurately reflects that the absolute value of -6.2 is indeed 6.2.

The other options (2. 6, 3. 7, and 4. -6) do not accurately represent the absolute value of -6.2. The absolute value operation ensures that the result is always a positive value, showing how far a number is from zero. In this case, the absolute value of -6.2 is 6.2.

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Answer:

1

Step-by-step explanation:

Knowing that the entire number line equals 7, and that the second line segment RS equals 6, we can subtract the two values to find QR.

[tex]7-6=1[/tex]

Therefore, QR equals 1.

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[tex]\quad \huge \quad \quad \boxed{ \tt \:Answer }[/tex]

[tex]\qquad \tt \rightarrow \:QR = 1 \:\: unit [/tex]

____________________________________

[tex] \large \tt Solution \: : [/tex]

[tex] \qquad \tt \rightarrow \: QR + RS = QS[/tex]

Let QR = x

[tex]\qquad \tt \rightarrow \: x + 6 = 7[/tex]

[tex]\qquad \tt \rightarrow \: x = 7 - 6[/tex]

[tex]\qquad \tt \rightarrow \: x = 1[/tex]

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Answer:

70

Step-by-step explanation:

10tickets x 8students = 80tickets

150tickets-80tickets=70tickets

Using the Fundamental Counting Theorem, the number of potential outcomes is given by: [tex]4^5[/tex]

It is a theorem that states that if there are n things, each with [tex]n_1, n_2, \cdots, n_n[/tex] ways to be done, each thing independent of the other, the number of ways they can be done is:

[tex]N = n_1 \times n_2 \times \cdots \times n_n[/tex]

There are five decisions, each with four options, hence:

[tex]n_1 = n_2 = n_3 = n_4 = n_5 = 4[/tex]

The number of options is:

[tex]N = 4 \times 4 \times 4 \times 4 \times 4 = 4^5[/tex].

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The intervals that represent the number line are given as follows:

b. [tex](-\infty, -5] \cup [8, \infty)[/tex]

The first painted interval is of numbers to the left of x = -5(inclusive due to closed circle), hence:

[tex](-\infty, -5][/tex]

The second interval is of numbers to the right of x = 8, also inclusive, hence:

[tex][8, \infty)[/tex]

Hence the union is given by:

[tex](-\infty, -5] \cup [8, \infty)[/tex]

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Answer:

B

Step-by-step explanation:

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A normal distribution can be used to approximate a binomial distribution when n* p and n * q are greater than 5.

A probability distribution that is symmetric about the mean is the normal distribution, sometimes referred to as the Gaussian distribution. It demonstrates that data that are close to the mean occur more frequently than data that are far from the mean.

A probability bell curve is more properly described as the normal distribution.

The mean and standard deviation of a normal distribution are 0 and 1, respectively. It has a kurtosis of 3 and zero skew.

Not all symmetrical distributions are normal, but all normal distributions are symmetrical.

Natural occurrences frequently resemble the usual distribution.

However, most price distributions in finance are not exactly normal distributions.

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R, which is the rate is 20%.

Simple interest is the interest on a sum of money invested or borrowed for a specific period of time.

The sum invested is called the principal.

Analysis:

simple interest (I) = PRT/100 = 300

P = principal = 3000

R = rate = ?

T = 0.5 year

300 = 3000 x R x 0.5/100

R = 20%

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Answer:

Step-by-step explanation:

2n + 1.6 = 17.6 what is the value of n?​

2n + 1.6 = 17.6

2n = 17.6 - 1.6

2n = 16

n = 16 : 2

n = 8

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

check

2n + 1.6 = 17.6

2*8+1.6=17.6

16+1.6=17.6

17.6=17.6

the answer is good

Answer:

it will be a rectangle mostly...

The probability is 5/343.

Given :8 floors and 4 passengers.

Passengers will be assumed to start on the first floor, where everyone goes up, and each passenger only gets off on the 2nd floor (no one gets off on the 1st floor!)

Now we need to find the number of all ordered lists of four numbers out of seven, eg 2<3<7<8, 3<6<7<8, 4<5<6o<8, etc.

This can be done in 7C4 ways.

The total numbers of ways 4 passengers can get off at 7 floors (starting at the 2nd!) is [tex]7^{4}[/tex].

Therefore the probability is [tex]\frac{7C4}{7^{4} }[/tex] = [tex]\frac{5}{343}[/tex]

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Answer:

Rate of change: 4/3

Step-by-step explanation:

Number of sodas/Total cost

pick a number

24/18 = 4/3

Answer:

4/3

Step-by-step explanation:

Rate of change is also known as slope.

To find slope, you have to find the change in y divided by the change in x.

y2-y1 / x2-x1

The variable y in this situation is the number of sodas.

The variable x in this situation is the total cost.

28 - 24 / 21 - 18

= 4 / 3

The rate of change in this problem is 4/3.

Answer:

The answer is the 3rd option (2)

Step-by-step explanation:

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The distance from Mytown to Little Village is 350 miles.

The distance from Capital City to Little Village is 660 miles.

The distance  from Capital City to Mytown is 310 miles,

The distance from Mytown to Yourtown is 200 miles,

and from Yourtown to Little Village is 150 miles.

Assuming all the places are collinear,

The distance from Mytown to Little Village is

200 + 150   = 350 miles

Hence, The Mytown is 350 miles far from the Little Village

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Answer:

Function 2

Step-by-step explanation:

An initial value of a function, aka y-intercept, is obtained by using x=0 and evaluating the function at that point. Evaluating the two functions given:

Function1: y = 2x(1/3)^x|x=0 = 2*0*1=0

with the chart

xy

03

16

2 12

3 24

Function2 has value 3 for x=0

So, Function 2 has a greater initial value

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Using a system of equations, it is found that a value of h = 4 will result in an infinite number of solutions.

A system of equations is when two or more variables are related, and equations are built to find the values of each variable.

If two equations are equal, the system has infinite solutions.

In this problem, the equations are:

4x - 16 = h(x - 4).

Then:

4(x - 4) = h(x - 4).

h = 4.

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Answer:

x = 4

Step-by-step explanation:

co interior angles add up to 180.

this means that: 48 + 34x - 4 = 180

thus 48 + 34x = 184

therefore, 34x = 136

so, x = 4.

The two angles labeled in the given diagram are interior angles on the same side of the transversal. They can also be called interior supplementary angles.

These angles have a sum of 180 degrees.

The two angles given have measures of 48 degrees and (34x-4) degrees.

They have a sum of 180 degrees.

Form an equation:

[tex]48+(34x-4)=180\\48+34x-4=180\\44+34x=180\\34x=180-44\\34x=136\\x=4[/tex]

[tex]x=4[/tex]

The required solution to the equation is [tex]0.3y+\frac{y}{z}[/tex] at y=10, z=5 is 5.

As we have the equation [tex]0.3y+\frac{y}{z}[/tex] and find solution At y =10 and z=5

What is equation?

The equation is the relationship between dependent and independent variables through some mathematical operators.

Now,
      putting the value of  y=10, z=5 in [tex]0.3y+\frac{y}{z}[/tex]
  ⇒[tex]0.3*10+\frac{10}{5}[/tex]
   =  5

Thus the required value of the equation at y=10 and z =5 is 3.

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Answer:

A) 384

B) 576

Step-by-step explanation:

the area of a rhombus is

pq/2

First Rhombus

we have p but to find q we can cut the triangle in half to form a right triangle, that allows us to use the Pythagorean theorem

20² = 12² + b²

400 - 144 = b²

b² = 256

b = 16

since the height (b) is half the rhombus, we double it to get q

p = 24

q = 32

a = [tex]\frac{24*32}{2}[/tex]

a = 384

Second Rhombus

Since rhombuses are parallelograms, we can use its area formula  (b)(h)

a = (24)(24)

a = 576