ASAP! I really need help with this question! No nonsense answers, and please attach the solution.

ASAP! I Really Need Help With This Question! No Nonsense Answers, And Please Attach The Solution.

Answers

Answer 1

Answer:

[tex]\boxed{\sf Option \ 4}[/tex]

Step-by-step explanation:

[tex]\sqrt{2x-3} +x=3[/tex]

Subtract x from both sides.

[tex]\sqrt{2x-3} +x-x=-x+3[/tex]

[tex]\sqrt{2x-3}=-x+3[/tex]

Square both sides.

[tex]( \sqrt{2x-3})^2 =(-x+3)^2[/tex]

[tex]2x-3=x^2-6x+9[/tex]

Subtract x²-6x+9 from both sides.

[tex]2x-3-(x^2-6x+9 )=x^2-6x+9-(x^2-6x+9)[/tex]

[tex]-x^2 +8x-12=0[/tex]

Factor left side of the equation.

[tex](-x+2)(x-6)=0[/tex]

Set factors equal to 0.

[tex]-x+2=0\\-x=-2\\x=2[/tex]

[tex]x-6=0\\x=6[/tex]

Check if the solutions are extraneous or not.

Plug x as 2.

[tex]\sqrt{2(2)-3} +2=3\\ \sqrt{4-3} +2=3\\\sqrt{1} +2=3\\3=3[/tex]

x = 2 works in the equation.

Plug x as 6.

[tex]\sqrt{2(6)-3} +6=3\\ \sqrt{12-3} +6=3\\\sqrt{9} +6=3\\3+6=3\\9=3[/tex]

x = 6 does not work in the equation.

Answer 2

Answer:

option d

Step-by-step explanation:

[tex]\sqrt{2x-3}+x = 3\\\\\sqrt{2x-3} = 3 -x\\[/tex]

Square both sides

[tex](\sqrt{2x-3})^{2}=(3-x)^{2}\\\\\\2x-3=9-6x+x^{2}\\\\0=x^{2}-6x + 9 - 2x + 3\\[/tex]   {Add like terms}

[tex]x^{2} - 8x + 12 = 0[/tex]

Sum = -8

Product = 12

Factors =  -2 , - 6

x² - 2x - 6x + (-2) * (-6) = 0

x(x -2) - 6(x -2) = 0

(x -2) (x - 6) = 0

x - 2 =0   ; x - 6 = 0

x = 2      ; x = 6

roots of the equation : 2  , 6

But when we put x = 6, it doesn't satisfies the equation.

When x = 6,

[tex]\sqrt{2x-3} + x = 3\\\\\sqrt{2*6-3}+6 = 3\\\\\sqrt{12-3}+6=3\\\\\sqrt{9}+6=3\\\\[/tex]

3 + 6≠ 3

Therefore, x = 2  but x = 6 is extraneous


Related Questions

Select the correct answer.
Which of the following represents a function?

Answers

Answer:

D.

Step-by-step explanation:

A function is when each x-value has only 1 y-value.

A: When x = 5, there are two values for y.

B: When x = -3, there are two values for y.

C: When x = -4, there are two y-values.

D: Each x-value has exactly one y-value.

So, your answer should be D.

Hope this helps!

Option (D) is accurate since the fourth option's x value has exactly one y value.

D. {(₋7,9), (₋4,₋9), (5,15), (7,19)}

What are functions?

Each element of X receives exactly one element of Y when a function from one set to the other is used. The sets X and Y are collectively referred to as the function's domain and co-domain, respectively.

When we say that a variable quantity y is a function of a variable quantity x, we indicate that y depends on x and that x's value determines what y's value will be. This reliance can be expressed as follows: y = f (x)

Given,

In the first case, y has two different values of 13 and 17, which is not permitted in a function, with the same value of x = 5. The first case is not a function as a result.

For the same value of x = 3 in the second case, y has two different values of 1 and 1, which is not permitted in a function. The second example is therefore not a function.

In the third case, for the same value of x = ₋4, y has two different values of 52 and 16 which is not allowed in a function. Therefore, third case is not a function.

Here, in the fourth situation, no x value is identical and there is only one possible y value.

Hence we get the answer as {(₋7,9), (₋4,₋9), (5,15), (7,19)} which represents the function.

Learn more about "functions" here-

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Which statements are true regarding undefinable terms in geometry?

Answers

C. A line has one dimension, length.

E. A plane consists of an infinite set of lines.

The Greenpoint factory produced two-fifths of the Consolidated Brick Company's bricks in 1991. If the Greenpoint factory produced 1,400 tons of bricks in 1991, what was the Consolidated Brick Company's total output that year, in tons?

Answers

Answer:

3,500 tons

Step-by-step explanation:

We know that 1,400 tons is 2/5 of the Consolidated Brick Company's output.

This means that 1/5 must be equal to 700 tons if 2/5 is 1,400.

So, we can find the total output by multiplying 700 by 5, since 700 is 1/5 of the total.

700(5) = 3,500 tons

Factorize a² +3ab - 5ab - 15b².

Answers

Answer:

[tex]a^2+3\,a\,b-5\,a\,b-15\,b^2=(a-5\,b)\,(a+3\,b)[/tex]

Step-by-step explanation:

Work via factoring by groups:

!) re arrange the terms as follows:

[tex]a^2-5ab+3ab-15b^2[/tex]

then extract the common factor for the first two terms (a), and separately the common factors for the last two terms (3 b):

[tex]a^2-5ab+3ab-15b^2\\a\,(a-5\,b)+3\,b\,(a-5\,b)[/tex]

Now notice that the binomial factor (a-5 b) is in both expressions, so extract it:

[tex]a\,(a-5\,b)+3\,b\,(a-5\,b)\\(a-5\,b)\,(a+3\,b)[/tex]

which is the final factorization.

Answer:

[tex] \boxed{\sf (a + 3b)(a - 5b)} [/tex]

Step-by-step explanation:

[tex] \sf Factor \: the \: following: \\ \sf \implies {a}^{2} + 3ab - 5ab - 15 {b}^{2} \\ \\ \sf Grouping \: like \: terms, \\ \sf {a}^{2} + 3ab - 5ab - 15 {b}^{2} = {a}^{2} + (3ab - 5ab) - 15 {b}^{2} : \\ \sf \implies {a}^{2} + (3ab - 5ab) - 15 {b}^{2} \\ \\ \sf 3ab - 5ab = - 2ab : \\ \sf \implies {a}^{2} - 2ab - 15 {b}^{2} \\ \\ \sf The \: factors \: of \: - 15 \: that \: sum \: to \: - 2 \: are \: 3 \: and \: - 5. \\ \\ \sf So, \\ \sf \implies {a}^{2} + (3 - 5)ab - 15 {b}^{2} \\ \\ \sf \implies {a}^{2} + 3ab - 5ab - 15 {b}^{2} \\ \\ \sf \implies a(a + 3b) - 5b(a + 3b) \\ \\ \sf \implies (a + 3b)(a - 5b)[/tex]

select the coordinates of two points on the line y = -2

Answers

Answer: (0, -2) & (1, -2)

Step-by-step explanation:

There are an infinite number of coordinates on y = -2.

The coordinates can have any x-value, but must have -2 for the y-value.

Solve for the unknown angles. Justify your answers.

Answers

Answer:

1. 31.67 degrees

2. 38 degrees

3.

PNQ  = 117 degrees

LKQ =  102 degrees

4. XYV = 120 degrees

Step-by-step explanation:

1. Using sum of angles of a triangle = 180

angle ACB = 180 - 55.14 - 93.19 = 31.67

2.

FDE = 180-GDE = 180 - 135.11 = 44.89   [angles on a line are supplementary]

FED = HEJ = 97.11         [vertical angles]

DFE = 180-FDE-FED = 180 - 44.89 - 97.11 = 38 degrees

3.

MLN = 180 - 82 = 98   [angles on a line are supplementary]

PNQ = 360 - 67 - 78 - 98 = 117  [sum of exterior angles of a polygon = 360]

LKQ = 180 - 78 = 102  [angles on a line are supplementary]

4.

WXY+YXZ = 180 [angles on a line are supplementary]

=>

3x + x = 180

=>

x = 180/4 = 45

Now solve for XYV

XYV = 360 - 135 - 60 - 45 = 120  [sum of interior angles of quadrilateral = 360]

Note: In the future, please limit the number of problems per question to three.

Five boxes of crackers cost 9$. At this rate, how much do 20 boxes cost?

Answers

Answer:36

Step-by-step explanation: first I did

9÷5=1.80 per box.

so then I did 1.80 x 20 which = 36

Answer:

20 boxes cost $36

Step-by-step explanation:

Using proportions,

5 boxes cost 9$

20 boxes cost X$

Cross multiply

X = 9/5 * 20 = 36$

help me please i jave 10 min left HELP​

Answers

Answer:

Option (A).

Step-by-step explanation:

[tex]8\frac{4}{5}[/tex] is a mixed fraction and can be written as,

[tex]8\frac{4}{5}=8+\frac{4}{5}[/tex] [Combination of a whole number and a fraction]

When we multiply this mixed fraction by 7,

[tex]7\times 8\frac{4}{5}=7\times (8+\frac{4}{5})[/tex]

          [tex]=(7\times 8)+(7\times \frac{4}{5})[/tex] [Distributive property → a(b + c) = a×b + a×c]

          [tex]=56+\frac{28}{5}[/tex]

          [tex]=56+5\frac{3}{5}[/tex]

          [tex]=56+5+\frac{3}{5}[/tex]

          [tex]=61+\frac{3}{5}[/tex]

          [tex]=61\frac{3}{5}[/tex]

Therefore, [tex]7\times 8\frac{4}{5}=61\frac{3}{5}[/tex] will be the answer.

Option (A) will be the correct option.

how do i solve for this help please \sqrt(x+5) = \sqrt(x)+1

Answers

Answer:

x=4

Step-by-step explanation:

sqrt(x+5) = sqrt(x)+1

Square each side

(sqrt(x+5))^2 = (sqrt(x)+1)^2

x+5 = (sqrt(x)+1)^2

Foil

x+5 = (sqrt(x)) ^2 + sqrt(x) + sqrt(x) + 1

x+5 = x + 2 sqrt(x) + 1

Subtract x from each side

5 = 2 sqrt(x) + 1

Subtract 1 from each sdie

4 = 2 sqrt(x)

Square each side

4^2 = (2 sqrt(x))^2

16 = 4 x

Divide by 4

16/4 = 4x/4

4 =x

Check to see if it is extraneous

sqrt(4+5) = sqrt(4)+1

sqrt(9) = sqrt(4) +1

3 = 2+1

3=3

It is a valid solution

Answer:

[tex]\boxed{x=4}[/tex]

Step-by-step explanation:

[tex]\sqrt{x+5} = \sqrt{x}+1[/tex]

Take the square on both sides.

[tex]x+5=( \sqrt{x}+1)^2[/tex]

Expand brackets.

[tex]x+5=( \sqrt{x}+1) ( \sqrt{x}+1)[/tex]

[tex]x+5= \sqrt{x} ( \sqrt{x}+1) +1 ( \sqrt{x}+1)[/tex]

[tex]x+5= x+ \sqrt{x}+ \sqrt{x}+1[/tex]

[tex]x+5= x+ 2 \sqrt{x}+1[/tex]

Subtract 2√x, x, and 5 on both sides.

[tex]x- 2 \sqrt{x} -x= 1-5[/tex]

[tex]-2 \sqrt{x} = -4[/tex]

Cancel negative signs.

[tex]2\sqrt{x} = 4[/tex]

Divide both sides by 2.

[tex]\sqrt{x} =2[/tex]

Square both sides.

[tex]x=2^2[/tex]

[tex]x=4[/tex]

Check if the solution in the equation works.

[tex]\sqrt{x+5} = \sqrt{x}+1[/tex]

Let [tex]x=4[/tex]

[tex]\sqrt{4+5} = \sqrt{4}+1[/tex]

[tex]\sqrt{9} = 2+1[/tex]

[tex]3=3[/tex]

The value of x as 4 works in the equation.

If a sprinkler waters 1/15 of lawn in 1/5 of an hour how much time will it take to water the entire lawn ?

Answers

Answer:

3 hours

Step-by-step explanation:

1/5 of an hour would be equivalent to 12 minutes (60 minutes in an hour divided by 5)

Multiply 12 minutes by 15 to see how long it will take to water the entire lawn in minutes ----> 12x15=180

Divide 180 by 60 to see how many hours it takes ---> 180/60=3

Answer:

3 hours.

Step-by-step explanation:

1/15 of the lawn is watered in 1/5 hours

So  the whole lawn is watered in  15 * 1/5

= 3 hours.

True or False: The proportion of the population that has certain characteristics is the same as the probability that a randomly selected individual of the population has these same characteristics.

Answers

Answer:

True

Step-by-step explanation:

Aster corporation accepted a $20,000, 9 percent 120-day note dated august 25 from lee company in settlement of a past bill. On October 25, Aster Corporation decided to discount the note at a discount of 8 percent. The proceeds to Aster Corporation are (blank)

Answers

Answer:

$20, 533.33

Step-by-step explanation:

From the question, we are given the following values

Principal = $20000

Rate = 8% = 0.08

Time( in years) = 120days = 4 months = 4/12 years = 1/3 years

Interest = Principal × Rate × Time

Interest = 20,000 × 0.08× (1/4)

Interest = $533.33

Hence, the proceeds to Aster Corporation are

$20000 + $533.33

= $20,533.33

Rationalise the denominator and simplify
A) 2sqrt3/sqrt12

B) 5sqrt7/sqrt35

Answers

Answer:  A) 1       B) [tex]\sqrt5[/tex]

Step-by-step explanation:

[tex]A)\quad \dfrac{2\sqrt3}{\sqrt{12}}=\dfrac{2\sqrt3}{2\sqrt3}=1\\\\\\\\B)\quad \dfrac{5\sqrt7}{\sqrt{35}}=\dfrac{5\sqrt7}{\sqrt5\cdot \sqrt7}=\dfrac{5}{\sqrt5}\bigg(\dfrac{\sqrt5}{\sqrt5}\bigg)=\dfrac{5\sqrt5}{5}=\sqrt5[/tex]

What is the surface area of the right cone below?
A. 52 units2
O B. 1047 units2
C. 6870 units2
D. 5471 units2

Answers

First find height using Pythagorean theorem.

[tex]h^2+4^2=13^2\implies h=\sqrt{153}\approx12.37[/tex].

Then use cone surface area formula and compute the result:

[tex]A=\pi r(r+\sqrt{h^2+r^2})\approx\boxed{68\pi}\mathrm{units^2}[/tex].

Hope this helps.

What is the solution to the system of linear equations shown in the graph below?
-(3,4)
-(0,-3)
- infinite solutions
-no solutions

Answers

Answer: Choice A.  (3,-4)

The solution is where the two red lines cross. This is the point (3,-4)

If you knew the equation of each red line, you can plug (x,y) = (3,-4) into each equation. You should find the two equations lead to true statements.

Evaluate 8r - r s when r=6 and s=5 pls help!! asap

Answers

Answer:

18

Step-by-step explanation:

8r - r s

r=6 and s=5

8*6 - 6*5

48 - 30

18

Answer:

you first take the equation 8r-rs and you substitute r=6 s=5, which will look like this 8(6)-6(5).

after that you distribute 8*6 and 6*5

and then you'll get 48-30

finally you subtract the two numbers which will leave you with = 18

Step-by-step explanation:

Kite EFGH is inscribed in a rectangle such that F and H are midpoints and EG is parallel to the side of the rectangle. Which statements describes how the location of segment EG affects the area of EFGH? A.) the area of EFGH is 1/4 of the area of the rectangle if E and G are not midpoints B.) The area of EFGH is 1/2 of the area of the rectangle only if E and G are midpoints C.) The area of EFGH is always 1/2 of the area of the rectangle. D.) The area of EFGH is always 1/4 of the area of the rectangle.

Answers

Answer:

C.) The area of EFGH is always ¹/₂ of the area of the rectangle.

Step-by-step explanation:

If EG is parallel to the side of the rectangle then lenght of EG is equal to width of rectangle.

If F and H are midpoints of sides of rectangle then FH is parallel to the side of rectangle {wich is perpendicular to the side parallel to EG}. That means the lenght of FH is equal to lenght of rectangle, and FH is perpendicular to EG.

Then FH is sum of hights of triangles EFG and EHG [tex](FH=H_{_{\Delta EFG}}+H_{_{\Delta EHG}})[/tex], and the area of EFGH is sum of areas of triangles EFG and EHG [tex](A_{kite}=P_{_{\Delta EFG}}+P_{_{\Delta EHG}})[/tex].

So the area of the rectangle:  [tex]\bold{A_{rectangle}=EG\cdot FH}[/tex]

The area of the kite:

                                  [tex]A_{kite}=P_{_{\Delta EFG}}+P_{_{\Delta EHG}}\\\\A_{kite}=\frac12 EG\cdot H_{_{\Delta EFG}}+\frac12 EG\cdot H_{_{\Delta EHG}}\\\\ A_{kite}=\frac12 EG\cdot (H_{_{\Delta EFG}}+H_{_{\Delta EHG}})\\\\A_{kite}=\frac12 EG\cdot FH\\\\A_{kite}=\frac12 A_{rectangle}[/tex]

No matter the height of the triangles, so no matter the location of the EG

What is 651 minus -13? Please with explanation.

Answers

Answer:

664

Step-by-step explanation:

651 - - 13

Negative times negative is positive.

651 + 13

Add.

664

Answer:

664

Step-by-step explanation:

651 - (-13)

Do the keep , change , change method

So , it will be :

651 + 13 = 664

Hope this helps and plsss plss amrl as brianliest and THNXX :)

which equation can be used to find the length of AB

Answers

Answer:

B

Step-by-step explanation:

You have to use cos because you are using the adjacent and hypotenuse

So

cos38=x/14

multiply each side by 14

14cos38

A line has____ rotational symmetry. A. Four-fold B. Six-fold C. Two-fold D. Seven-fold

Answers

Answer:

Option C

Step-by-step explanation:

A line has a 2-Fold rotational symmetry because if we rotate the line about 180, The resulting thing will be the same line.

Answer:

[tex]\boxed{\mathrm{C}}[/tex]

Step-by-step explanation:

A line has two-fold rotational symmetry.

The line rotated two times from a central point remains the same.

Or the line rotated 180 degrees from a central point remains the same.

2. Find the distance between the two points. Round to the nearest tenth if necessary.
(0,9), (-8, -4)
21
15.3
9.4
233​

Answers

Answer:

[tex]\boxed{D = 15.8\ units}[/tex]

Step-by-step explanation:

The coordinates are (0,9) and (-8,-4)

Distance Formula = [tex]\sqrt{(x2-x1)^2+(y2-y1)^2}[/tex]

D = [tex]\sqrt{(-8-0)^2+(-4-9)^2}[/tex]

D = [tex]\sqrt{(-8)^2+(-13)^2}[/tex]

D = [tex]\sqrt{81+169}[/tex]

D = [tex]\sqrt{250}[/tex]

D = 15.8 units

Answer:

15.3

Step-by-step explanation:

The coordinates are (0,9) and (-8,-4)

Distance of two points formula:

[tex]D=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]

Plug in the values.

[tex]D=\sqrt{(-8-0)^2+(-4-9)^2}[/tex]

[tex]D=\sqrt{(-8)^2+(-13)^2}[/tex]

[tex]D=\sqrt{64+169}[/tex]

[tex]D=\sqrt{250}[/tex]

[tex]D= 15.264338...[/tex]

[tex]D \approx 15.3[/tex]

Assume that adults have it scores that are normally distributed with a mean of 99.6 and a standard deviation of 16.2 find the first quartile which is the hw score sepedafinf the bottom 25%

Answers

Answer:

88.7

Step-by-step explanation:

P(Z < z) = 0.25

z = -0.674

z = (x − μ) / σ

-0.674 = (x − 99.6) / 16.2

x = 88.7

if sade can be 12 years and his mother senior him with 24 years and his dad senior him with 30 yearshow old is the sum of the both parents

Answers

Answer:

88

Step-by-step explanation:

mother's age = 12+24

= 36

father's age = 12+40

=52

add the parent age= 36+52

= 88

Factor this polynomial expression, and wrote it in its fully factored form 3x^3 + 3x^2 - 18x

Answers

Answer:

3x (x - 2) (x + 3)

Answer 4

Hope this helps :)

Please thank you! I will give brainleist to the first correct answer if it lets me

Answers

Answer:

x=10 y=12

Step-by-step explanation:

just multiply 15 and 18 by 1/3 because both triangle are similar.

Answer:

x = 10; y = 12

Step-by-step explanation:

find the scale factor ratio using corresponding sides: 9 / 6 = 3/2 so the ratio is 3:2

from large triangle to small triangle you will get:

1. 15 / x

2. 18 / y

to implement the ratio, set the side length ratio equal to the scale factor:

1. [tex]\frac{15}{x}[/tex] = [tex]\frac{3}{2}[/tex]

2. [tex]\frac{18}{y}[/tex] = [tex]\frac{3}{2}[/tex]

cross multiply:

1. 30 = 3x

2. 36 = 3y

divide:

1. x = 10

2. y = 12

In 2002, the mean expenditure for auto insurance in a certain state was $806. An insurance salesperson in this state believes that the mean expenditure for auto insurance is less today. She obtains a simple random sample of 32 auto insurance policies and determines the mean expenditure to be $781 with a standard deviation of $39.13. Is there enough evidence to support the claim that the mean expenditure for auto insurance is less than the 2002 amount at the α = 0.05 level of significance?

Answers

Answer:

No there is not  enough evidence to support the claim that the mean expenditure for auto insurance is less than the 2002 amount at the α = 0.05 level of significance

Step-by-step explanation:

Sample Mean = μ1 = $806

Sample Mean = μ2 = $ 781

Standard Deviation= S= σ =39.13

n= 32

Confidence Interval = 95 %

α= 0.05

z∝=± 1.96

We state the null and alternative hypotheses as

H0: μ1 = $806  and Ha: μ1 ≠ $806  two sided tail test

z= μ1 -μ2/σ/√n

z= 806-781/ 39.13/√32

z= 806-781/ 39.13/5.6568

z=806-781/ 6.92

z= 25/6.92

z= 3.613

Z> z∝

3.613 > ± 1.96

No there is not  enough evidence to support the claim that the mean expenditure for auto insurance is less than the 2002 amount at the α = 0.05 level of significance

Your brother has a bag of marbles. He has 8 green marbles, 3 blue marbles, 7 red marbles, and 2 yellow marbles. What is the ratio of blue marbles to green and red marbles? Choose the answer that is a simplified unit rate. a 1 : 5 b 3 : 15 c 5 : 1 d 15 : 3

Answers

Answer:

a   1 : 5

Step-by-step explanation:

Blue mables: 3

green and red marbles: 8 + 7 = 15

then, the radio blue:(green+red) is:

3 : 15

simplified unit rate is:

3/3 = 1

15/3 = 5

then:

3:15

is equal to:

1:5

Answer:

a   1 : 5

3 - 2x is a polynomial

Answers

Answer:

  true

Step-by-step explanation:

  3 -2x is a polynomial of degree 1, consisting of two terms. Such a polynomial can be referred to as a "binomial."

Your observation is True.

Suppose I have either a fair coin or a bent coin, and I don’t know which. The bent coin has a 60 % 60\% 60% probability of coming up heads. I throw the coin ten times and it comes up heads 8 times. What is the probability I have the fair coin vs. the probability I have the bent coin? Assume at the outset there is an equal ( . 5 , . 5 ) (.5,.5) (.5,.5) prior probability of either coin.

Answers

Answer:

the Probability of Fair coin = 0.2664=26.64 % and

Probability of Bent coin = 0.7336= 73.36 %

Step by step Explanation:

The fair coin has a 60% probability of coming up heads, same thing with the bent coin , when the coin was thrown up ten times,it comes up heads 8 times,

Here we were told to find the probability fair coin vs. probability bent coin

A)THE FAIR COIN::

The probability of getting Head Coin = 1/2

Probability of getting tail Coin = 1/2

Then the Probability of head 8 times out of 10 can be calculated using combination

= ¹⁰C₈ × (1/2)⁸ ×(1/2)²

= 45/1024

= 0.0439

Therefore, the Probability of head 8 times out of 10= 0.0439

B)BENT COIN

the probability of getting Head Coin = 0.6

= 6/10

= 3/5

NOTE: 60%=0.6

The probability of getting tail Coin = 1 - 3/5

= 2/5

Then, the probability of getting head 8 times out of 10 can be calculated using combination;

= ¹⁰C₈ × (3/5)⁸ × (2/5)²

= 45 × 6561 ×( 4 / 5¹⁰)

= 0.1209

Therefore, the probability of getting head 8 times out of 10 = 0.1209

We can now calculate the Probability of Fair coin

(Probability of head 8 times out of 10 in fair coin )/(Probability of head 8 times out of 10 in fair coin )+(the probability of getting head 8 times out of 10 in bent coin)

= (0.0439 )/(0.0439 + 0.1209)

= 0.2664

Probability of bent coin can as well be calculated as 0.1209 /(0.0439 + 0.1209)

= 0.7336

Therefore, the Probability of Fair coin = 0.2664=26.64 % and

Probability of Bent coin = 0.7336= 73.36 %

PLEASE HELP BRAINLY INSTANTLY

Kira solved the equation in the following way.
7/2 − 2x = 11/2

7/2 − 7/2 − 2x = 11/2 − 7/2

−2x ÷ −2 = 4/2 ÷ − 2


x = −1 Describe the properties of equality that Kira used. The first step is to use the ____ property of equality to combine the constant terms. The second step is to use the ___ property of equality to isolate the variable.

Answers

Answer:

subtraction; division

Step-by-step explanation:

the first step is to subtract 7/2 from both sides.

the second step is to divide by -2

Answer:

✔ Subtraction

✔ Division

Step-by-step explanation:

It's right in Edgen

Other Questions
Radioisotopes often emit alpha particles, beta particles, or gamma rays. The distance they travel through matter increases in order from alpha to gamma. Each radioisotope has a characteristic half-life, which is the time needed for half of a sample of radioisotope to undergo nuclear decay. Which quality is desirable for a radioisotope that is used for medical imaging of a specific organ TQK, LLC, provides consulting services and was formed on 1/31/X5. Aaron and ABC, Inc., each hold a 50 percent capital and profits interest in TQK. If TQK averaged $27,000,000 in annual gross receipts over the last three years, what accounting method can TQK use for X9 (Tough day dividing polynomials and I'm still lost!) Please help me my hands are legit numb:) Given 16.2 grams of substance Y, if the substance absorbs 2722 joules of energy and the specific heat of the substance is 9.22 J/gC, what is the final temperature of the substance if the initial was 26 degrees Celsius? Interpret and analyze the following terms by using Ranganathan's Law in library establishment:a. Planningb. Management expectationc. Conceptual skillsd. Human skillse. Functional design Place the steps of biofilm formation in the correct order: 1. Quorum sensing and the establishment of the extracellular matrix commences as microbes attach more stably. 2. Surface (substratum) is preconditioned by environmental molecules. 3. Biofilm matures and some microorganisms escape to the planktonic state. 4. Microbes attach and detach from the preconditioned surface. In economics, the word scarcity relates to:O A. limited resources.O B. international agreements.O c. surplus ideas.D. outdated infrastructures. Christianity began in the same region as A single-slit diffraction pattern is formed on a distant screen. Assuming the angles involved are small, by what factor will the width of the central bright spot on the screen change if the wavelength of the illuminating light is doubled ian invested an amount of money at 3% per annum compound interest. At the end of 2 years the value of the investment was 2652.25 Work out the amount of money Ian invested. Suppose that, during a recession, the government borrows money to provide free movies as a distraction from the poor economy. Which of the following statements are correct?A. The free movies as a distraction from the poor economy will likely raise interest rates as the government borrows more money to finance the purchase. B. This policy will likely be accompanied by an impact lag as the policy takes time to make its way to the people. C. The provision of free movies is an example of an automatic stabilizer. D. The government is engaging in contractionary fiscal policy. E. Crowding-out will occur as individuals choose to rely on free movies instead of purchasing their own. These statements relate to exchange rates. Label each statement as either True or False. The value of one currency in terms of another currency is called a currency rate. A real exchange rate takes into account differences in countries' price levels. A fried chicken dinner in Tennessee costs $10. Suppose Jared can convert $10 into 7.5 euros. He can purchase the same chicken dinner in Portugal for 7.5 euros. This relationship is called purchasing power parity. After her plane touches down in Moscow, Maggie notices that $1 is worth 25 rubles (Russia's currency). A week later, Maggie returns to the airport to go home and notices that $1 is worth 28 rubles. The ruble has appreciated in value against the dollar. The yen is Japan's currency. In the dollar/yen foreign exchange market, if more yen are being demanded than are being offered, the yen will depreciate in value relative to the dollar. Can anyone plz help me how is this question solved? Clarisse wants to start a moderate cardiorespiratory endurance exercise program, but she has been sedentary for the past 5 years. Which of the following activities would be the best for her to incorporate to meet her goal of increasing her cardiorespiratory endurance?a. Water aerobicsb. Cardiorespiratory endurancec. At least 150 minutes of moderate intensity aerobic activity per week. A stone is thrown vertically upward with a speed of 29.0 m/s and when it reaches a height of 13 m, the velocity is 24.2 m/s.Using the formula x = v0 t + a t2, find the time it takes to reach this height? Why do you get two values for time? Explain. Which graph represents this function, f(x)=1/2x-5 Write the steps to create labels in OpenOffice writer Describe in general a process desert plants might need to carry out in order to maintain homeostasis. (4 points) All plants need water; think about how plants in an area without much water might be able to live. Which of these is an example of a haploid cell?