a hunter is practicing his aim using a practice target. he takes 5 shots. all 5 shots hit the target, but they do not hit or surround the bullseye. in addition, all 5 shots are very spread apart on the target. classify the hunter's accuracy and precision.

The equation of the line of best fit for the following data is ŷ = 1.16393X + 0.88525

Option A

This is further explained below.

Generally, Y is represented by the equation Y = a + bX + e, which represents the regression equation. The value of the dependent variable, which is referred to as Y, is what is being explained or predicted.

a, also known as Alpha, is a constant; it is equal to the value of Y when the value of X is equal to 0. b, also known as Beta, is the coefficient of X; it is the slope of the regression line.

In conclusion,

Sum of X = 34

Sum of Y = 44

Mean X = 6.8

Mean Y = 8.8

Sum of squares (SSX) = 48.8

Sum of products (SP) = 56.8

Regression Equation = ŷ = bX + a

b = SP/SSX = 56.8/48.8 = 1.16393

a = MY - bMX = 8.8 - (1.16*6.8) = 0.88525

ŷ = 1.16393X + 0.88525

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The equation of the volume function is V(x) = 1/3(x + 4)²(x - 1)

The given parameters are

Radius, r = x + 4

Height, h = 5 units less than the radius

This means that

h = r - 5

So, we have

h = x + 4 - 5

Evaluate

h = x - 1

The volume of a cone is calculated as

V = 1/3πr²h

Substitute the known values in the above equation

V = 1/3 * (x + 4)² * (x - 1)

This gives

V = 1/3(x + 4)²(x - 1)

Express as a function

V(x) = 1/3(x + 4)²(x - 1)

Hence, the function is V(x) = 1/3(x + 4)²(x - 1)

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Given that the start time is 5:15 am. It can be represented as,

Also given that the end time is 12:04 pm. It can be represented as.

The elapsed time (e) is equal to the difference between the end time and start time as given below,

Substitute the values,

Note that 04 minutes is greater than 15 minutes, so we have to borrow 1 hour from 12 hours and add it to the minutes,

Replace the value and perform the subtraction,

Thus, the required elapsed time is 6:49, that is, 6 hours and 49 minutes.

The value of the 'k' for the given polynomial is found as 1.

For the given question;

By the remainder theorem,

Put x - 1 = 0. x = 1, in the polynomial will be equal to its remainder.

Put x = 1 in the polynomial.

x³ - 2x² + kx + 3 = 3

1³ - 2(1)² + k(1) + 3 = 3

1 - 2 + k = 0

k = 1

Thus, the value of the 'k' for the given polynomial is found as 1.

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ANSWER

EXPLANATION

We want to identify the option that is completely factored.

For an expression to be completely factored, it means that there are no more common terms between the terms in the expression.

That means it can not be factored any further.

Therefore, the only correct option is:

Based on the number of teachers who voted for the skating rink and those who voted for the bowling alley, the ratio of votes for skating to bowling is 30 : 13

The ratio can be found by taking a ratio of those who voted for the skating rink against those who voted for the bowling alley. This ratio should then be taken to its simplest form.

Number of votes for bowling alley = 13 votes

Number of votes for skating rink = 30 votes

The ratio of votes for the skating rink to those of the bowling alley is:

30 : 13

This is the simplest form.

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The coefficient of the first term of the polynomial is 1.

Polynomials are algebraic expressions of the following form:

f = Σ (cₙ · xₙⁿ)

Where:

The order of the terms of a polynomial is usually from the left to the right. Then, the first term of the polynomial x + 9 · y³ + 4 is x = 1 · x, whose coefficient is equal to 1.

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Answer:

It meant that the results were more reliable and the average makes it more reliable.

Step-by-step explanation:

The researchers used data from ten trials and averaged them, rather than data from a single trial because the data from single trials are more likely to include errors.

Research the issue utilizing data from a number of sources. It is critical to understand what one is attempting to achieve while designing an experiment.

The first method is to average identical successive trials, in which the researcher simply compares mean values across groups of patients or treatment effects. Averaging, to some extent, presume that the behavior is random. This premise is often ignored. If there is something systematic going on, such as a trial-by-trial change in response owing to adaptation/learning or weariness, this is potentially highly significant clinical information that is lost when the trials are averaged.

Thus, the data from single trials are more likely to include errors

Hence, the researchers used data from ten trials and averaged them, rather than data from a single trial.

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It would be

D. The expected yield of a crop is low whenever the number of seeds planted per square foot is small or large. A larger yield is expected when the number of seeds per square foot is arounf 60.

For any line, if you draw two right triangles using the line as the hypotenuse, we can say that; Yes, the triangles have to be similar because the sides of both triangles will have the same ratio.

From the attached diagram, we will assume any two right triangles are drawn on the line OP, and AB and A'B' as the hypotenuse on the same line OP.

Now, due to the fact that the slope of the line OP is constant and assume that it makes x° with the positive x-axis, then we can say that;

tan x = AC/BC = A'C'/B'C'

Thus;

AC/A'C' = BC/B'C'

Therefore, we can say that the sides of the two right triangles are in the same ratio and as such, Δ ABC and Δ A'B'C' are similar.

Therefore, all the right triangles will be similar.

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The amount of money   Justin would have in his account than Aaron, to the nearest dollar is $0

What is the future value formula for continuous compounding cash flow?

The future value, which is used to determine the worth of this investment of $740 made now in 18 years is as shown below:

FV=PV*e^(rt)

FV=the worth of the investment in 18 years=unknown

PV=the amount invested today=$740

e=mathematical exponential value=2.7182818

r=rate of interest which compounded continuously=5%

t=time of investment in years=18

FV=$740*2.7182818^(5%*18)

FV=$740*2.7182818^(0.90)

FV=$740*2.459603087981220

FV=$1,820.11

Justin:

FV=PV*(1+r/m)^(n*m)

PV=$740

r=5%

m=number of times in a year that interest is compounded=365

m=number of years=18

FV=$740*(1+5%/365)^(18*365)

FV=$1,819.99

difference=$1,820.11-$1,819.99

difference=$0.12($0 to the nearest dollar)

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The major problem that Steven will face is he can't decide the winner among the racers who have very little difference in time.

What is time?

Time is the continuous movement of existence and the events that take place from the past, present, and onward into the future in what appears to be an unbreakable order. It is a quantity that is a component of numerous measurements that are used to rank events, compare how long they endure, compare the length of occurrences or the gaps between them, and measure how quickly things change in the real world or in our conscious experience. Time is frequently referred to as a fourth dimension in addition to the three spatial dimensions.

The major problem that Steven will face is he can't decide the winner among the racers who have very little difference in time. Since, the clock he uses recorded the times rounded time to the nearest tenth so the racers who completed race in almost equal time with a little difference will be showed as to same tenth value and then, he can't decide the winner among them.

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Answer:

see explanation

Step-by-step explanation:

∠ R = 2x + 5 , ∠ S = x + 1 , ∠ T = 7x - 16

the sum of the 3 angles in a triangle = 180°

sum the 3 angles and equate to 180

2x + 5 + x + 1 + 7x - 16 = 180

10x - 10 = 180 ( add 10 to both sides )

10x = 190 ( divide both sides by 10 )

x = 19

Then

∠ R = 2x + 5 = 2(19) + 5 = 38 + 5 = 43°

∠ S = x + 1 = 19 + 1 = 20°

∠ T = 7x - 16 = 7(19) - 16 = 133 - 16 = 117°

The equation that represents a reflection in the x​ -axis of the graph of g(x) is y = -|x|.

We are given a function g(x). The function g(x) is defined as the modulus of x. The equation is : g(x) = |x|.

We need to find the equation that represents the reflection of the graph of g(x). The rule for reflecting over the X axis is to negate the value of the y-coordinate of each point but leave the x-value the same.

Let h(x) be the function that represents the reflection of the function g(x).

h(x) = -g(x)

h(x) = -|x|

The equation can be written as y = -|x|. The graph of the reflection is attached below.

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Slope = 2

The slope of coordinates ( 20 , 15 ) and (30 , 35) = 2

Here given two points (20, 15) and (30 , 35)

Formula to find slope = y2 - y1 / x2 - x1

                                    = 35 - 15 / 30 - 20

                                    = 20 / 10

                                    = 2 / 1

                                    = 2

∴ Slope of (20 , 15) (30 , 35) = 2 .

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Answer:

√5(√5 + √20)

= √5√5 + √5√20

= √25 + √100

= 5 + 10

= 15

The value of the expression is 13 that is formed by subtraction .

A mathematical expression that uses integer variables, constants, and algebraic operations is known as an algebraic expression (addition, subtraction, multiplication, division, and exponentiation by a rational exponent).

now we use subtraction:

y-7

= 20-7

= 13

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Using it's concept, the y-intercept for each table in this problem is given as follows:

2) y = 4.

3) y = -3.

In the context of this problem, we are given two tables with pairs of values (x,y), hence the y-intercept for each case is given by the value of y when x = 0.

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Answer:

A. Total area of Alaska is considerable larger than total area of Connecticut.

B. Population of California is considerably larger that population of Alaska.

Step-by-step explanation:

A. What is the difference in total area of Alaska and Connecticut?

According to the US government, total areas of Alaska and Connecticut are 663,268 square miles and 5,567 square miles, respectively.

The difference between both quantities is:

[tex]x=6.633 \times 10^{5} mi^{2} -5.567 \times 10^{3} mi^2\\x=6.577 \times 10^{5} mi^2[/tex]

Which means that total area of Alaska is considerable larger than total area of Connecticut.

B. What is the difference in total population of California and Alaska?

According to the US government, total populations of California and Alaska are 39,512,223 people and 710,249 people, respectively.

The difference between both quantities is:

[tex]x=3.951 \times 10^7 people - 7.103 \times 10^5 people\\x=3.880 \times 10^7 people[/tex]

Which means that population of California is considerably larger that population of Alaska.

Answer:

it is per 1

Step-by-step explanation:

Apply the compound interest formula:

A= P (1+r/n)^nt

Where:

A: future value of the investment

P: Principal amount

r: interest rate (in decimal form)

n: number of compounding periods in each year

t: years

Replacing:

A= 20,000 (1+0.08/12)^12x40

A = 20,000 (1.0067)^480

A= 485,467.7116

Answer:

Explanation:

The ratio of smartphones to table sold = 6 : 5.

The number of tables sold = 35

Let the number of smartphones = x

Then:

For the cube to land with a 5 or 6 on the top face, a 2/5 probability is needed.

The table displays the outcomes of 20 rolls of a number cube with faces labeled from 1 to 6.

To ascertain the experimental likelihood that 5 or 6 will appear on the top face of the number cube the following time it is rolled.

The ratio of likely outcomes to all possible outcomes is known as the probability.

Total frequency = 3 plus 3 plus 6 plus 3 plus 5 equals 20.

Total frequency of positive results = 3 + 5 = 8

Therefore according to the probability it is no. of possible outcomes divided by total outcomes.

Here favorable cases are 8 which are positive results

Total out come ( frequency) is 20

Probability is 8/20, or 2/5.

Therefore, there is a 2/5 chance that the cube will land with a 5 or 6 on the top face.

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Answer: 3 miles

Step-by-step explanation:

15840 feet

= 15840 ÷ 5280 miles

= 3 miles

Answer:

4

Step-by-step explanation:

the prime factors for each is

220 = 2 ×2×5×11

8 = 2×2×2

so the HCF =2×2 = 4

Answer:

6

Step-by-step explanation:

Slope is represented by rise/run. Let's use the points (0, -1) and (1, 5). The "rise" from -1 to 5 is 6. The "run" from 0 to 1 is 1. 6/1 is just 6.

False: The x-intercept represents the amount the designer charges for 1 h of work.

True: The difference between 0 and the y-intercept represents the amount the designer spent on advertising.

True: The slope represents the designer's hourly rate.

In Mathematics, the y-intercept of any graph such as a linear function, generally occur at the point where the value of "x" is equal to zero (x = 0).

By critically observing the graph (see attachment), the coordinates of the y-intercept of this line is given by y-intercept = (0, 6), which represents the graphic designer's expenses on advertising for the month of July.

In Mathematics, the x-intercept can be defined as the point at which the graph of any function crosses the x-coordinate and the value of "y" is equal to zero (0).

From the graph (see attachment), we can logically deduce that the x-intercept represents the number of hours which the graphic designer would have to work, in order to cover his expenses (on advertising) for the month of July.

In conclusion, the hourly rate of this graphic designer for the month of July is represented by the slope of the graph.

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Answer:

p = 1

Step-by-step explanation:

1+6p = 7(6p-4)-7p

multiply 7

1 + 6p = 42p - 28 - 7p

simplify

1 + 6p = 35p - 28

p's on one side

-29p = -29

p = 1