The diameter of a circle is 2 miles. What is the circle's area?
d=2 mi
square miles
Use 3.14 for л.

f hi I chhiring Tamang I read in hdidieje

The number that we need to add to "complete the square" when solving x² – 14x – 40 = 0 using the method of completing the square is 49.

To solve a quadratic equation using the method of completing the square, we need to add the square of half of the coefficient of the x term to both sides of the equation.

This will convert the left side of the equation into a perfect square trinomial.

Then, we can take the square root of both sides and isolate the variable x.

To solve the quadratic equation x² – 14x – 40 = 0 using the method of completing the square, we need to add the square of half of the coefficient of x to both sides.

The coefficient of x is -14, so half of it is -7.
The square of -7 is 49.

Therefore, we need to add 49 to both sides of the equation to "complete the square".

Now, we have: x² – 14x + 49 = 40 + 49

Simplifying this gives: (x - 7)² = 89

Taking the square root of both sides gives: [tex]x - 7 = \pm\sqrt{89}[/tex]

Adding 7 to both sides gives:[tex]x = 7 \pm\sqrt{89}[/tex]

Therefore, the number that we need to add to "complete the square" when solving x² – 14x – 40 = 0 using the method of completing the square is 49.

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Experimental studies were the type of statistical study used by doctors in research on comparing placebo pills with real pills.

The study carried out is not appropriate for the statistical questions that must be answered, because telling patients about the pills introduces bias.

It is a method of scientific research in which there is the introduction of an intervention by the researchers, in which the resulting effects will be objects of study.

Therefore, in an experimental study there will be randomization of participants, who will be randomly grouped into a group to carry out the controlled trial.

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Answer: Experiment

No, because telling patients about the pills introduces bias

The statement regarding the expansion of (x + y)" that is correct is D. The coefficients of yn - 1 and yn – 1 both equal 1.

It should be noted that for any positive integer, n, the expression of (x + y)^n will be C(n,0)x^n + C+n, 1)x^n-1 .... C(n, n)y^n.

Here, the statement regarding the expansion of (x + y)" that is correct is that the coefficients of yn - 1 and yn – 1 is both equal to 1.

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The theorem is used to find the side and angles of a triangle. The value of y from the given diagram is 0.64

The given diagram are right angled triangle

From the lower triangle

sin45 = a/2√2
1/√2 = a/2√2

1 = a/2
a = 2

Determine the value of y

tan 60 = opp/adj

tan 60 =y/2

y = 2 tan60

y = 0.64

Hence the value of y from the given diagram is 0.64

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The system of the equations 3x = 5y - 22 and 12x = 20y - 11 are parallel lines. Then the correct option is B.

A linear system is one in which the parameter in the equation has a degree of one. It might have one, two, or even more variables.

The equations are given below.

− 3x + 5y = 22 or 3x = 5y − 22   ...1

 20y − 11 = 12x or 12x = 20y − 11   ...2

The system of the equations follows the condition that will be

12/3 = 20/5 ≠ 11/22

4 = 4 ≠ 1/2

This is the condition for the parallel lines or no solution.

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Answer:

2x + y = 4, 5y = 10x + 4

is a system of linear equations representing intersecting lines.

2x + 3y = 21, -6y = 4x + 1

is a system of linear equations representing parallel lines.

-2x + 4y = 9, 8y = 4x + 18

is a system of linear equations representing coincidental lines.

Step-by-step explanation:

Graphed them all.

Answer:

X=69

Step-by-step explanation:

52, 58, 57, X =59

52+58+57+X/4=59

167+X/4=59

Multiply both sides by 4

4(167+X) /4 = 59x4

Simplify

167 + X= 236

Subtract 167 from both sides

167 + X- 167 = 236 – 167

Simplify

X= 69

to check

52+ 58+57+69/4 =59

The quadratic equation whose roots are 2 and 3, and whose leading coefficient is 3 will be 3x² - 15x + 18 = 0.

The quadratic equation is given as ax² + bx + c = 0. Then the degree of the equation will be 2. Then we have

Then the quadratic equation whose roots are 2 and 3, and whose leading coefficient is 3.

Then the factor or the quadratic equation will be

(x - 2) and (x - 3)

Then the equation will be

     3(x - 2)(x - 3) = 0

3(x² -2x -3x + 6) = 0

    3(x² - 5x + 6) = 0

   3x² - 15x + 18 = 0

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Answer:

$98.44

Step-by-step explanation:

take $92 x .07 = $6.44 (tax amount)

$92+$6.44=$98.44

Answer:

3:2.

Step-by-step explanation:

They have 15 - 6 = 9 problems to do, so it is:

9:6

= 3:2.

Answer:

9/15

Step-by-step explanation:

15 - 6 = 9 as a fraction would be 9 meaning what is left and 15 as meaning how much they started with so it is 9/15 also called 9 over 15

Hope This Helped

(a) Collision claims tend to be skewed right because there are a few very large collision claims relative to the majority of claims.

These large collision claims skew the data to the right because they are outliers that draw the mean higher than it should be.

The answer cannot be "no large collision claims" or "many large collision claims" because then the data would not be skewed.

(b) Since there are two random samples comparing two means, we will be using a 2-Samp-T-Test. We will use Welch's approximate t-test, where we test the hypothesis that these two populations have the same mean.

We want to determine if 20-24 year old drivers have the same mean collision cost as 30-59 year old drivers.

(c) The null hypothesis is that the mean claim of collision costs for 20-24 year old drivers is the same as the mean claim of collision costs for 30-59 year old drivers.

We can also rewrite this as:

The alternative hypothesis is that the mean claim of collision costs for 20-24 year old drivers is higher than the mean claim of collision costs for 30-59 year old drivers.

We can rewrite this as:

(d) In order to calculate the p-value, we must find the test statistic first.

We can do so by using this formula:

We are given these variables in the problem:

Substitute these variables into the formula for the test statistic.

You can use the calculator to solve this expression, or plug the numbers into your calculator using: STAT - TESTS - 4:2-SAMPTTEST.

Your test statistic should be: t = 1.8962.

The calculator should also tell you the p-value; p = .0308.

(e) Since p = .0308 < α = .1, reject the null. We have convincing statistical evidence that the mean claim of collision costs for 20-24 year old drivers is higher than the mean claim of collision costs for 30-59 year old drivers.

IQR = Q3-Q1 = 53 - 36 = 17

For reference you can look at the attachment

Then converted them accordingly

#1(Graph 2)

#2(Blue dots on graph 1)

They are similar but not equal

#3(Purple dots)

Similar but not equal

#4(Green dots)

#5(Black dots)

Answer:

well yes it but it depends on how much each points you will get for each assignment and how much you have, but other than that I am very sure It will! don't lose hope! keep doing your best! only think positive!!!

Answer:

5.6 x 10^-1

Step-by-step explanation:

give brainliest, please!

hope this helps :)

Answer:

B. light

Step-by-step explanation:

When specific frequencies of light are absorbed by a material, it forms an absorption spectrum.

now, we're assuming she made the deposit at the child's birth, namely when year was 0, at the child's twenty-first birthday that'll be 21 years later.

[tex]~~~~~~ \textit{Compound Interest Earned Amount} \\\\ A=P\left(1+\frac{r}{n}\right)^{nt} \quad \begin{cases} A=\textit{accumulated amount}\\ P=\textit{original amount deposited}\dotfill &\$6000\\ r=rate\to 9\%\to \frac{9}{100}\dotfill &0.09\\ n= \begin{array}{llll} \textit{times it compounds per year}\\ \textit{monthly, thus twelve} \end{array}\dotfill &12\\ t=years\dotfill &21 \end{cases} \\\\\\ A=6000\left(1+\frac{0.09}{12}\right)^{12\cdot 21}\implies A=6000(1.0075)^{252}\implies A\approx 39437.11[/tex]

Hey there!

x^2 – y

= 4^2 – 2

= 4 * 4 - 2

= 16 - 2

= 14

Therefore, the answer should be: 14

Good luck on your assignment & enjoy your day!

~Amphitrite1040:)

Answer:

it’s SAA

Step-by-step explanation:

ur wlcm, i am sure of my answer

brainliest please?

Answer: See attached, the top right

Step-by-step explanation:

      What is an outlier? An outlier, in a data set, is a data value that is outside the overall pattern of distribution.

   This means the answer to your question is the top right because the data value of 13 is outside the overall pattern, hence an outlier.

Answer:

The 2nd one on the top

Step-by-step explanation:

It's that one because it goes from 8 to 13 and that's a big jump causing it to be the outlier.

The equation that can be used to determine the distance from school to his aunt's house is x = 29 miles / 10.What equation can be used to represent the total distance travelled? Total miles rode = 10(miles ridden to school) + (10 x miles rode to his aunt's house from school) 44 miles = (10 x 1.5) + (10 × x)44 miles = 15 miles +  10x What equation that can be used to determine distance rode from school to her aunt's house? Given this equation : 44 miles = 15 miles +  10x, take the following steps: Combine similar terms: 44 miles - 15 miles = 10x 29 miles = 10x Divide both sides by 10 x = 29 miles / 10 

Answer:

39 yd²

Step-by-step explanation:

Two rectangles can be formed here.

One smaller of the dimensions 5 × 3 yd

And another of 8 × 3 yd.

Total area = 5×3 + 8×3 (area of rect. = l×b)

= 15 + 24

= 39 yd²

Answer:

D. $47.57

Step-by-step explanation:

Add up the cost of the two items

$32.61 + $19.82 = $52.43

subtract the cost for the $100

100-52.43 = 47.57

The change is D. $47.57

Answer:

$47.57

Step-by-step explanation:

cost of the t-shirt = $32.61

cost of the hat= $19.32

total cost of items she bought= 32.61+19.82= $52.43

Amount of change she received= 100-52.43= $47.57

Answer:

slope = 2

Step-by-step explanation:

Slope-intercept form of a linear equation:  [tex]y=mx+b[/tex]

(where m is the slope and b is the y-intercept)

Given equation:

[tex]3x + 6y = -54[/tex]

Rearrange the given equation to make y the subject:

[tex]\implies 6y=-3x=-54[/tex]

[tex]\implies y=-\dfrac{1}{2}x-9[/tex]

Therefore, the slope of the given equation is [tex]-\dfrac{1}{2}[/tex].

If two lines are perpendicular to each other, the product of their slopes will be -1.

Therefore, the slope (m) of the line perpendicular to the given equation is:

[tex]\implies -\dfrac{1}{2} \cdot m=-1[/tex]

[tex]\implies m=-1 \div -\dfrac{1}{2}[/tex]

[tex]\implies m=-1 \cdot-2[/tex]

[tex]\implies m=2[/tex]

Answer:

Step-by-step explanation:

full price of the phone in terms of percentage

= 100%

percentage discount = (100-35)% = 65%

let the price of the phone before discount= X

therefore,

65%-----------78

100%----------X

cross multiplying

65×X = 100×78

dividing bothsides by X

X = 100×78/65

X = 7800/65

X = 120

price of the phone before discount=€120

Answer:

Simulation --> An imitation

Sample --> The part of a population

Biased sample --> A sample that is not

Population --> A group

Answer:

19/30

Step-by-step explanation:

had this in an old problem in school

:D

Answer:

Step-by-step explanation:

draw ⊥ from B cutting  AC.

let it be D.

[tex]\frac{BD}{BC} =sin 30\\BD=\frac{1}{2} \times BC=\frac{1}{2} \times 2x=x\\area=\frac{1}{2} \times 3x \times BD=\frac{1}{2} \times 3x \times x\\T=\frac{3x^2}{2} \\2T=3x^{2} \\x^{2} =\frac{2T}{3} \\x=\sqrt{\frac{2T}{3} }[/tex]