This table shows a linear relationship. x 5 6 7 8 9 y 33 39 45 51 57 Based on the information in this table, which equation can be used to model the relationship between x and y? y = 3x + 6 y = 6x + 3 y = 3x y = 6x

Answer: 1. 4, 2. 1x.

Step-by-step explanation:

We can use the confidence interval formula to estimate how much the drug will lower a typical patient's systolic blood pressure with 80% confidence.

The confidence interval formula is:

Sample mean ± (t-score × standard error)

Where the t-score is calculated from the t-distribution using the number of degrees of freedom (n-1) and the confidence level (80%).

Using the given information, we can calculate the t-score as follows:

t-score = 1.711 (for 80% confidence level and 28 degrees of freedom)

Therefore, the confidence interval is:

55.9 ± (1.711 × (7.4/√29))

= 55.9 ± 4.125

So, with 80% confidence, we can say that the drug will lower a typical patient's systolic blood pressure by between 51.8 and 60.0.

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So,the value of the 30th percentile of the given data will be =P30=4

The cumulative distribution function of a real-valued random variable X, or simply the distribution function of X, assessed at x, is the likelihood that X will have a value less than or equal to x in probability theory and statistics.

Using the Cumulative Distribution Function to Calculate Probabilities

F(x) is a cumulative distribution function that calculates the likelihood that the random variable X is smaller than or equal to x:

To get the cumulative probability that X is less than or equal to 1, multiply P(X=0) by P(X = 0) by (P=1):

First, we will determine the value of the cumulative probability P(X<=x):

x         f(x)       P(X<=x)

1       0.02          0.02

2       0.01          0.03

3       0.2          0.23

4       0.17           0.4

5       0.39           0.79

6       0.2           0.99

7 0.01 1

30th percentile will be the x value,

below which less than or equal to 30% of the data falls.

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Answer:

348 trouts in the lake

Step-by-step explanation:

Since this is basically a ratio problem and we are given three values we can use the rule of three to solve for the missing variable which would be the total amount of trouts in the lake. To do so we multiply the total amount trouts tagged by the number of trouts caught later. Then we multiply that product by the amount that were found to be tagged later.

22 total trouts caught later  <=========>  11 trouts were tagged

x total trouts  <=========> 174 trouts tagged

(174 * 22) / 11 = 348 total trouts in the lake

Finally, we can see that the conservationist would expect there to be around 348 trouts in the lake.

Answer:

-0.33333333333 in other word it o.3 with line over 3

Step-by-step explanation:

Algebra transformation

for  Graph1 f(x)=f(x)+4

for  Graph2 f(x)=-f(x-4)

for  Graph3 f(x)=f(x-7)

for  Graph4 f(x)=f(x-2)-5

In mathematics, the reflection of a graph is a transformation that produces a mirror image of the original graph across a specific line or point. The line or point across which the reflection occurs is called the axis of reflection.

Graph1

Transform the graph by +4 units in y direction.

f(x)=f(x)+4

Graph2

Transform the graph by +4 units in x direction.

f(x)=f(x-4)

Now take the reflection of graph about x axis

f(x)=-f(x-4)

Graph3

Transform the graph by +7 units in x direction.

f(x)=f(x-7)

Graph5

Transform the graph by -5 units in y direction.

f(x)=f(x)-5

Now Transform the graph by -2 units in x direction.

f(x)=f(x-2)-5

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Answer: x=1

Step-by-step explanation:

   4 (-x+4）=12

 （-4x+16）=12

  -4x+16-16  =12-16

         -4x/-4 =-4/-4

                  x=1

I don't know if this is right, please let me know if it is wrong ο(=•ω＜=)ρ⌒☆

Answer:

\(-\frac{3}{10}\)

Step-by-step explanation:

I hope this helps!

Answer:

-0.75 x 0.4= -0.3 or -3/10

Step-by-step explanation:

-3/4 translates to -0.75 and 2/5 translates to 0.4

Answer:

y=8.94

Step-by-step explanation:

use the formula: a^2+b^2=c^2

64+y^2=144

y=\(\sqrt{80}\)

or y=8.94

Answer:

2w + 3

Step-by-step explanation:

area of rectangle = 65 un ^2

Plan B: Choose 14 of the 28 plants at random. Apply Brand X fertilizer to those 14 plants and Brand Y fertilizer to the remaining 14 plants.

A sample is only a small portion of the population.

Let's imagine you were interested in determining the average income for all Americans in your population.

Instead of knocking on every door in America because of time and money constraints, you decide to ask 1,000 random people. Your sample consists of these a thousand persons.

Given, A gardener wants to determine which of two brands of fertilizer is best for the plants.

And the gardener decides to conduct an experiment using 28 individual plants.

Plan A will be a biased sampling and the experiment would not yield

desired results.

Therefore, The gardener should choose 14 of the 28 plants at random. Apply Brand X fertilizer to those 14 plants and Brand Y fertilizer to the remaining 14 plants.

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(-5, -3), in slope-intercept form, is parallel to the equation -3x - 7y = 10.

Therefore, we must first determine this's slope.

-3x - 7y = 10

To both sides, add three.

-7y = 3x + 10

Add -7 to both sides.

y = -3/7x - 10/7

Our slope is thus -3/7.

The slopes always remain the same when searching for a line that is parallel to something.

Remember that y = mx+b is the slope-intercept form as well.

Where b is the y-intercept and m is the slope.

Our y-intercept is -3 since the coordinates (-5,-3) are available.

The slope here is -3/7.

Put those numbers into the slope-intercept form equation, then, to solve.

y = mx + b

y = -3/7x - 3

(-5, -3), in slope-intercept form, is parallel to the equation -3x - 7y = 10.

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The equation of the line parallel to the given line is y = -3x/7 + 47/7

The equation of the perpendicular will be  y = 7x/3 -13/3

The formula for a straight line is y=mx+c where c is the height at which the line intersects the y-axis, often known as the y-intercept, and m is the gradient.

A straight line's general equation is y = mx + c, where m denotes the gradient and y = c denotes the point at which the line crosses the y-axis. On the y-axis, this value c is referred to as the intercept. Y = mx + c represents the equation of a straight line with gradient m and intercept c on the y-axis.

The slope of a line that is perpendicular to another line is equal to the negative reciprocal of that line's slope. The slope of the original line's perpendicular line is -2, which is the original line's negative reciprocal.

The equation of the line is 3x + 7y = 8

The slope of the line is = -3/7

so the equation of the line parallel to the given line is y = -3x/7 + c

the point given as (4,5)

The line is 5 = -3*4/7 + c

or, c = 5 + 12/7 = 47/7

the equation of the line parallel to the given line is y = -3x/7 + 47/7

The slope of the line perpendicular to the given line is 7/3

So, the equation of the line is y = 7x/3 + c

The intercept is 5 = 7*4/3 + c

or, c = 5 - 28/3 = -13/3

The equation of the perpendicular will be  y = 7x/3 -13/3

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Answer:

$33333.33

Step-by-step explanation:

Suppose x invested into the bank account that pays 4% simple Interest

5x4%x+5x6.4%(50000)= 12000 { The interest due is equal to interest}

4x+6.4x50000-6.4x=240000

2.4x=80000

x=33333.33

Answer:

1/2  /   50% chance

Step-by-step explanation:

There are 10 yellow out of 20 (6 + 4 + 10 = 20) balls.

So, the probability is 10 / 20

Or, 1 / 2 (which is the same thing as 50% chance)

(chance = probability)

Standard form of the equation for the circle with the following properties is (x + 7)² + (y + 6)²= 104.

A line segment through the center of a circle with its ends on the circle's circumference. Its value is twice of the radius.

An equation is a mathematical statement that asserts the equality between two expressions, typically containing one or more variables. It consists of two sides separated by an equals sign (=), indicating that the expressions on both sides have the same value. Equations are used to describe relationships, solve problems, and make predictions in various branches of mathematics, science, engineering, and other fields. They can be linear or nonlinear, and may involve arithmetic, algebraic, trigonometric, exponential, or other mathematical operations. Solving an equation involves finding the values of the variables that make the equation true.

To find the standard form of the equation for a circle, we can start by finding the center and radius of the circle using the given endpoints of a diameter.

The center of the circle is the midpoint of the diameter, which can be found by averaging the coordinates of the two endpoints. Let's denote the coordinates of the endpoints of the diameter as (x1, y1) and (x2, y2) respectively.

In this case, the coordinates of the endpoints are (x1, y1) = (-6, -1) and (x2, y2) = (-8, -11). Using the midpoint formula, we can find the center of the circle:

Center = ((x1 + x2)/2, (y1 + y2)/2)

Plugging in the values, we get:

Center = ((-6 + (-8))/2, (-1 + (-11))/2)

Center = ((-14)/2, (-12)/2)

Center = (-7, -6)

So, the center of the circle is (-7, -6).

The radius of the circle is half the length of the diameter, which can be found using the distance formula between the two endpoints of the diameter. Let's denote the distance between the endpoints as d.

The distance formula is given by:

d = sqrt((x2 - x1)² + (y2 - y1)²)

Plugging in the values, we get:

d = sqrt((-8 - (-6))² + (-11 - (-1))²)

d = sqrt((-2)² + (-10)²)

d = sqrt(4 + 100)

d = sqrt(104)

So, the radius of the circle is sqrt(104).

Now that we have the center and radius of the circle, we can write the standard form of the equation of the circle as:

(x - h)² + (y - k)²= r²

where (h, k) is the center of the circle and r is the radius of the circle.

Plugging in the values, we get:

(x - (-7))² + (y - (-6))² = (sqrt(104))²

(x + 7)² + (y + 6)²= 104

So, the standard form of the equation for the circle with endpoints of a diameter at (-6, -1) and (-8, -11) is (x + 7)² + (y + 6)² = 104

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We have to apply the next formula:

A= P(1+r)^t

Where:

P= original population (284)

r = growing rate (in decmal form) (4/100=0.04)

t= years passed (2020-2013= 7)

A= number of students after t years

Replacing:

A = 284 (1+0.04)^7

A= 284(1.04)^7

A= 373 students

Explanation:

ASA = angle side angle

The marked side is between the marked angles.

The markings on the angles tell us which angles pair up to be congruent. The tickmark on the sides tell us the sides are congruent.

AAS is similar to ASA, but with AAS the marked side isn't between the marked angles.

We cannot use SAS since we don't know anything about another pair of sides.

The conjecture about the backpack sales in June is that less than 8,000 backpacks were sold

From the graph, the number of backpack sales in June is not represented on the graph

The last month represented on the graph is May

On the vertical axis of the graph, the number of backpack sales that corresponds to the month of May is between 8,000 and 8,5000

By looking at the trend,

This means that the number of backpack sales in the month of June is less than the number of backpack sales in the month of May

Hence, the conjecture about the backpack sales in June is that less than 8,000 backpacks were sold

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The conjecture about backpack sales is that June sales will be less than 8,000 units.

A conjecture is a mathematical statement without proof. Instead, conjectures survive on some existing patterns.

The existing patterns show that backpack sales peaked in November but deteriorated or decreased steadily every month.

For instance, in November, the backpack sales were 11,000 units but 10,250 in January. It reduced to 8,750 in March.

However, following the end of the Easter holidays, backpack sales may increase from May. But this prediction does not agree with the trend.

Thus, the conjecture about backpack sales is that June sales will be less than 8,000 units.

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Answer:

(8,5)

Step-by-step explanation:

- add three to the x value (5)

- subtract 3 from the y value (8)

Answer:

Answer is D.

Step-by-step explanation:

\(v^{2} =\frac{3P}{mn}\\\)

Multiply both sides by m.

\(mv^{2} =\frac{3P}{n}\\\)

Divide both sides by \(v^{2}\).

\(m =\frac{3P}{nv^{2}}\\\)

Answer:

that is 9

Step-by-step explanation:

i hope this helps you

the data classification (categorical or quantitative) and type of data (Nominal or Ordinal or Continuous or Discrete)

A. Height of sunflowers in a field.

1.Quantitative

2.Continuous

B. Jersey color of all the NCAA football teams.

1.Categorical

2.Nominal

A. Height of sunflowers in a field.

1.Quantitative

2.Continuous

B. Jersey color of all the NCAA football teams.

1.Categorical

2.Nominal

Data classification is a process of organizing data into categories based on their characteristics, attributes, or features. There are two main types of data classification:

Categorical Data: Data that can be divided into categories or classes. For example, color, gender, and type of cuisine are all examples of categorical data. Categorical data can be further classified into two types:

a. Nominal Data: Data that does not have an inherent order or ranking. For example, hair color, eye color, and favorite movie are all examples of nominal data.

b. Ordinal Data: Data that has a natural order or ranking. For example, education level (high school, college, postgraduate), star rating (1 star, 2 stars, 3 stars), and satisfaction level (very unsatisfied, unsatisfied, neutral, satisfied, very satisfied) are all examples of ordinal data.

Quantitative Data: Data that can be measured and expressed as a number. For example, height, weight, and time are all examples of quantitative data. Quantitative data can be further classified into two types:

a. Continuous Data: Data that can take on any value within a specified range. For example, height, weight, and temperature are all examples of continuous data.

b. Discrete Data: Data that can only take on specific values. For example, number of children in a family, number of pets, and number of rooms in a house are all examples of discrete data

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Answer:

B) 4,700

Step-by-step explanation:

6000 - 4000 = 2000

2000 in 15 year, find how much for each year

2000/ 15 = 133.3333333

133.3333333 estimated = 133

133 approximately for each year

1975 to 1980 is five years

133 x 5 = 665

4000 + 665 = 4665

4665 rounded the the nearest hundred

4700

Answer:

Option (3)

Step-by-step explanation:

Given functions are f(x) = 4 - x² and g(x) = 6x

We gave to find the expression for (g - f)(3).

(g - f)(x) = g(x) - f(x)

            = 6x - (4 - x²)

            = 6x - 4 + x²

By substituting x = 3 in this expression,

(g - f)(x) = 6(3) - 4 + (3)²

Therefore, option (3) will be the answer.

Answer:

= r12 (variable varies)

Step-by-step explanation:

brainliest plz

Store A: 1 foot= 42.50÷5 = $8.50

Store B= 1 foot= 49.50÷6 = $8.25

Answer:

Store B has a better buy because the price for 1 foot sandwich is cheaper than Store A.

Answer:

f(x) = 72-12x

Step-by-step explanation:

this might be too late but it could be useful for future people

Answer:

f(x) = 72-12x

took a while to solve.......