i have 6 cookies and my sister take two many i got left

\( - 13 = \frac{w}{9} - 6 \\ - 13 + 6 = \frac{w}{9} \\ - 7 = \frac{w}{9} \\ w = - 63\)

so only -63 is the solution, the rest three are NOT solution for this equation.

The method you would use to prove the two triangles are congruent include the following: B. ASA.

In Mathematics and Geometry, two (2) triangles are said to be similar when the ratio of their corresponding side lengths are equal and their corresponding angles are congruent.

Additionally, the lengths of corresponding sides are proportional to the  lengths of corresponding altitudes when two (2) triangles are similar.

In Mathematics and Geometry, ASA is an abbreviation for Angle-Side- Angle and it states that when two (2) angles and their included side in two (2) triangles are congruent, then the triangles are said to be congruent.

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Missing information:

The question is incomplete and the complete question is shown in the attached picture.

you did not provide enough information to answer the question

Step-by-step explanation:

Simplify:

20 + 52 × 2

=> 20 + 104

=> 124 Ans.

None of these.

Hey there!

20 + 52 × 2

= 72 × 2

= 72 + 72

= 144

Therefore, your answer SHOULD BE: 144

Good luck on your assignment and enjoy your day!

~Amphitrite1040:)

Answer:

It’s A

Step-by-step explanation:

Step-by-step explanation:

emergency ? why ? you are in the middle of a game with such an unfair die ?

the probabilty for a number of a regular die is 1/6 (desired cases divided by total possible cases).

the probability to role an even number is therefore 3/6 = 1/2.

that means, even and odd are the 2 possible outcomes.

now, for the unfair die we can see it as if we have now 4 possible outcomes : 3 times an even number, and 1 time an odd number.

so, the probability to roll an even number is 3/4 (and for an odd number 1/4).

now, we roll it twice.

for the sum to be even, we either have to roll 2 even numbers or 2 uneven numbers.

the probabilty is the sum of the both probabilities (it is an exclusive "or" relationship).

the probability to roll 2 even numbers is

3/4 × 3/4 = 9/16

the probability to roll 2 uneven numbers is

1/4 × 1/4 = 1/16

the sum is

9/16 + 1/16 = 10/16 = 5/8

so, E is the right answer.

9514 1404 393

Answer:

  C) c || d by converse of corresponding angles

Step-by-step explanation:

Only corresponding angles where transversal b crosses lines c and d are shown. All answer choices involving a||b or interior angles can be eliminated from consideration.

The "corresponding angle" theorem tells you corresponding angles are congruent if the lines are parallel.

The converse of that theorem tells you the lines are parallel if the corresponding angles are congruent. Here, the angles are shown congruent, so the "converse" theorem applies.

The height of the can of cylinder shape is 9.14 cm.

What is a cylinder?

In mathematics, a cylinder is a three-dimensional solid that maintains two parallel bases separated by a curved surface at a specific distance. These bases frequently have a circular shape (like a circle), and an axis connects their respective centres.

We are given the diameter as 4 cm.

So, the radius is 2cm.

Also, it is given that the surface area of the can is 140 square centimeters.

So, using the surface area of cylinder, we get

⇒Area = 2πr (h + r)

⇒140 = 2π * 2 (h + 2)

⇒140 = 4π (h + 2)

⇒140 = 4 * 3.14 * (h + 2)

⇒140 = 12.56 * (h + 2)

⇒11.14 = h + 2

⇒h = 9.14

Hence, the height of the can of cylinder shape is 9.14 cm.

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The solution to given linear inequality, 6(x1.5) + 30 < 48, is x < 2

From the question, we are to solve the given linear inequality

The given linear inequality is

6(x1.5) + 30 < 48

First, we will write this inequality properly.

The inequality can be properly written as

6(1.5x) + 30 < 48

Now, we will solve the linear inequality

6(1.5x) + 30 < 48

Subtract 30 from both sides of the equation

6(1.5x) + 30 - 30 < 48 - 30

6(1.5x) < 18

Divide both sides of the inequality by 6

6(1.5x)/6 < 18/6

(1.5x) < 3
1.5x < 3

Divide both sides of the inequality by 1.5

1.5x/1.5 < 3/1.5

x < 2

Hence, the solution is x < 2

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Answer:

true

Step-by-step explanation:

Answer:

Step-by-step explanation:

14 mins

this is because if we divide 2 but 1/2 you would get 4

since she can run 1/2 a mile in 3 1/2 mins

we should multiply the 3 1/2 buy 4

this would lead to the answer 14

Step-by-step explanation:

\( \frac{a}{b} c = \frac{a}{ \frac{b}{c} } \)

\( \frac{a}{b} c = a \times \frac{c}{b} \)

Answer:

Step-by-step explanation: change A/B/C to A÷B/C then change the division sign into a multiplicmultiplication sign so that you will have A×C/Bwhich will make your left equation = to your right equation

c² + 9 + 6c is the solution by distributive property .

What in mathematics is a distributive property?

This characteristic states that multiplying the total of two or more addends by a number will produce the same result as multiplying each addend separately by the number and then combining the products collectively.

                                       When you multiply one value by another, you are using the distributive property of multiplication over addition. When multiplying 5 by the sum of 10 plus 3, for instance, add 3. We typically add the numbers first, then multiply the result by 5, since the terms are similar. However, in accordance with the property, you can first multiply each addend by 5.

= (c+3)^2

= c² + 9 +  2 * c * 3

= c² + 9 + 6c

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Answer:

Step-by-step explanation:

Sales Revenue:  $800.00

Cost of good sold:  $350,000.00

Subtract:                   $450,000.00

Sales Revenue:         $795,000.00

Cost of good sold:     $600,000.00

Subtract Sales             $195,000.00

Revenue from Cost

of goods sold.

Answer:

Step-by-step explanation:

5 x + 25 and 11 x + 25

5x + 25 and 11 x-11

5x + 11 and 5 x + 25

5 x + 25 and 5 x-11 this all equal to 5,900 dived by 5

The option that shows how much the boys earned all together and also how much more Carl earned that week than Patrick earned is;

Option B: 5x + 25 and 11 x-11

We are given;

Amount earned by Carl for the week = $(8x + 7)

Amount earned by Patrick for the week = $(-3x + 18)

Thus,to get the total both boys earned, we will add the amounts to get;

Total amount earned by both = (8x + 7) + (-3x + 18)

Total amount earned by both = 5x + 25

To find how much more Carl earned than Patrick, we just subtract Patrick's earnings from Carl's own to get;

(8x + 7) - (-3x + 18)

>> 8x + 7 + 3x - 18

>> 11x - 11

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Answer:

See graph

Step-by-step explanation:

The red graph is y = 2 sin x where the blue section represents one cycle where 0≤∅≤2π where ∅ is measured in radians.

Answer:

f(x) = 13x - 4

Step-by-step explanation:

Function notation is simply expressing an equation as a function. That is given a variable \(x\) what is the output of the expression when using a value for it?

Essentially we just do \(y = f (x)\) therefore for this question we have: \(f(x)=13x-4\)

Answer:

f(x) = 13x - 4

Step-by-step explanation:

I had this on my test and got 100%

To find the subtracted value, we need to calculate the multiplicative inverse of (4/3 - 4/9) and then subtract it from the sum of 7/12 and 7/8.

First, let's find the multiplicative inverse of (4/3 - 4/9):

Multiplicative inverse = 1 / (4/3 - 4/9)

To simplify the expression, we need a common denominator:

Multiplicative inverse = 1 / ((12/9) - (4/9))

= 1 / (8/9)

= 9/8

Now, we need to subtract the multiplicative inverse from the sum of 7/12 and 7/8:

Subtracted value = (7/12 + 7/8) - (9/8)

To perform this calculation, we need a common denominator:

Subtracted value = (7/12 * 2/2 + 7/8 * 3/3) - (9/8)

= (14/24 + 21/24) - (9/8)

= 35/24 - 9/8

To simplify further, we need a common denominator:

Subtracted value = (35/24 * 1/1) - (9/8 * 3/3)

= 35/24 - 27/24

= 8/24

= 1/3

Therefore, subtracting 1/3 from the sum of 7/12 and 7/8 will give you the multiplicative inverse of (4/3 - 4/9).

The equation written in slope-intercept form is y = (1/3)x -9

A linear equation is that which can be represented in the form of y =mx +c , m is the slope and c is the intercept.

The given equation is

y+6 = 1/3(x-9)

To determine the slope and the intercept this equation needs to be solved

y+6 = (1/3)x - 3

y = (1/3)x -9

Therefore this is the slope intercept format , here

the slope = 1/3

intercept = -9

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Answer:

(a) The probability that more than 180 will take your free sample is 0.1056.

(b) The probability that fewer than 200 will take your free sample is 0.9997.

(c) The probability that a customer will take a free sample and buy the product is 0.2184.

(d) The probability that between 60 and 80 customers will take the free sample and buy the product is 0.8005.

Step-by-step explanation:

We are given that about 56% of all customers will take free samples. Furthermore, of those who take the free samples, about 39% will buy what they have sampled.

The day you were offering free samples, 303 customers passed by your counter.

Firstly, we will check that it is appropriate to use the normal approximation to the binomial, that is;

Is np > 5  and  n(1-p) > 5

In our question, n = sample of customers = 303

                          p = probability that customers will take free sample = 56%

So, np = \(303 \times 0.56\) = 169.68 > 5

     n(1-p) = \(303 \times (1-0.56)\) = 133.32 > 5

Since, both conditions are satisfied so it is appropriate to use the normal approximation to the binomial.

Now, mean of the normal distribution is given by;

        Mean, \(\mu\) = \(n \times p\) = 169.68

Also, the standard deviation of the normal distribution is given by;

       Standard deviation, \(\sigma\) = \(\sqrt{n \times p \times (1-p)}\)

                                            = \(\sqrt{303 \times 0.56 \times (1-0.56)}\) = 8.64

Let X = Number of people who will take your free sample

The z score probability distribution for normal distribution is given by;

                           Z  =  \(\frac{X-\mu}{\sigma}\)  ~ N(0,1)

(a) The probability that more than 180 will take your free sample is given by = P(X > 180) = P(X > 180.5)     {Using continuity correction}

        P(X > 180.5) = P( \(\frac{X-\mu}{\sigma}\) > \(\frac{180.5-169.68}{8.64}\) ) = P(Z > 1.25) = 1 - P(Z < 1.25)

                                                                   = 1 - 0.8944 = 0.1056

(b) The probability that fewer than 200 will take your free sample is given by = P(X < 200) = P(X < 199.5)     {Using continuity correction}

        P(X < 199.5) = P( \(\frac{X-\mu}{\sigma}\) < \(\frac{199.5-169.68}{8.64}\) ) = P(Z < 3.45) = 0.9997

(c) We are given in the question that of those who take the free samples, about 39% will buy what they have sampled, this means that we have;

     P(Buy the product / taken a free sample) = 0.39

So, Probability(customer will take a free sample and buy the product) = P(customer take a free sample) \(\times\) P(Buy the product / taken a free sample)

     = 0.56 \(\times\) 0.39 = 0.2184

(d) Now our mean and standard deviation will get changed because the probability of success now is p = 0.2184 but n is same as 303.

So, Mean, \(\mu\) = \(n \times p\) = \(303 \times 0.2184\) = 66.18

Standard deviation, \(\sigma\) = \(\sqrt{n \times p \times (1-p)}\)

                                    = \(\sqrt{303 \times 0.2184 \times (1-0.2184)}\) = 7.192

Now, the probability that between 60 and 80 customers will take the free sample and buy the product is given by = P(60 < X < 80) = P(59.5 < X < 80.5)         {Using continuity correction}

     P(59.5 < X < 80.5) = P(X < 80.5) - P(X \(\leq\) 59.5)

     P(X < 80.5) = P( \(\frac{X-\mu}{\sigma}\) < \(\frac{80.5-66.18}{7.192}\) ) = P(Z < 1.99) = 0.9767

     P(X \(\leq\) 59.5) = P( \(\frac{X-\mu}{\sigma}\) \(\leq\) \(\frac{59.5-66.18}{7.192}\) ) = P(Z \(\leq\) -0.93) = 1 - P(Z < 0.93)

                                                            = 1 - 0.8238 = 0.1762

Therefore, P(59.5 < X < 80.5) = 0.9767- 0.1762 = 0.8005.

Let

y ----> amount in the saving account

x ----> number of weeks

The linear equation is of the form

y=mx+b

where

m is the slope or unit rate

b is the y-intercept or initial value

so

we have

m=$20 per week

b=$100

we have

m=$10 per week

b=$500

Equate both equations

20x+100=10x+500

20x-10x=500-100

10x=400

x=40

In 40 weeks they have the same amount in the savings account

therefore

Hi! I'm happy to help!

To solve this problem, we need to first solve \(5^{-4}\).

Negative exponents divide the number by x instead of multiplying. So, \(5^{-4}\) is 1/625. Since we can't use another negative exponent, we can use a number that would decrease with a positive exponent. In this situation, we can use the inverse of 5, which is \(\frac{1}{5}\), and put this to the fourth power. \(\frac{1}{5} ^{4}\)

This expression also equals 1/625.

I hope this was helpful, and keep learning! :D

This question is incomplete, the complete question is;

Find the sample variance and standard deviation.

7​, 55​, 14​, 49​, 32​, 23​, 30​, 32​, 34​,27

Choose the correct answer below. Fill in the answer box to complete your choice. ​(Round to two decimal places as​ needed.)

Answer:

Sample Variance S² = 205.79

Sample standard deviation S = 14.35

Step-by-step explanation:

Given that;

the observation are;  7​, 55​, 14​, 49​, 32​, 23​, 30​, 32​, 34​,27

First we calculate Sample Mean

⁻x = (∑xi) / n

⁻x = ( 7​ + 55​ + 14​ + 49​ + 32​ +  23​ + 30​ + 32​ + 34​ + 27 ) / 10

⁻x  = 303 / 10 = 30.3

mean ⁻x  = 30.3

now to calculate Sample  variance;

Sample Variance S² = (∑(xi  - ⁻x )²) / (n-1)

⁻x is sample mean

xi is element in the sample

n is sample size

so

Xi                (xi  - ⁻x )                (xi  - ⁻x )²

7​                   -23.3                   542.89

55​                 24.7                    610.09

14​                 -16.3                    265.69

49​                 18.7                    349.69

32​                  1.7                     2.89

23​                -7.3                     53.29

30​                -0.3                     0.09

32​                  1.7                     2.89

34​                 3.7                     13.69

27                -3.3                     10.89

TOTAL ∑                               1852.1  

Sample Variance S² = (∑(xi  - ⁻x )²) / (n-1)

So we substitute

Sample Variance S² =   1852.1  / ( 10 - 1)

Sample Variance S² =  1852.1  / 9

Sample Variance S² = 205.79

Sample standard deviation S = √ [ (∑(xi  - ⁻x )²) / (n-1)]

i.e Sample standard deviation S = √ ( Sample Variance )

Sample standard deviation S = √ 205.79

Sample standard deviation S = 14.35

1/9

Probability is the likelihood or chance that an event will occur. Mathematically;

Probability = expected outcome/Total outcome

The total number on the spinner is given as:

S = {1, 2, 3}

Total outcome = 3

If the spinner land on a number less than 2, hence the expected outcome is 1

Pr(spinner land on a number less than 2) = 1/3

If the spinner lands on a 2, the probability that it lands on a 2 will be expressed as:

Pr(spinner lands on a two) = 1/3

Pr( landing on a number less than 2 and then landing on a 2​) = 1/3 * 1/3 = 1/9

Hence the probability of landing on a number less than 2 and then landing on a 2​ is 1/9

The values of a and b using the factor theorem for the polynomial f(x), we set f(1) and f(-1) equal to zero. Solving the resulting system of equations, we find that a = 12 and b = -1.

To find the values of a and b using the factor theorem, we need to use the given factors (x - 1) and (x + 1) and the fact that they are roots of the polynomial f(x).
The factor theorem states that if (x - c) is a factor of a polynomial, then f(c) = 0. Therefore, we can set x = 1 and x = -1 in the polynomial f(x) to get two equations.
First, let's substitute x = 1 into f(x):
f(1) = (1)^3 + a(1)^2 + b(1) - 12
f(1) = 1 + a + b - 12
Next, let's substitute x = -1 into f(x):
f(-1) = (-1)^3 + a(-1)^2 + b(-1) - 12
f(-1) = -1 + a - b - 12
Since (x - 1) and (x + 1) are factors, f(1) and f(-1) must equal zero. Therefore, we can set the two equations equal to zero and solve for a and b:
1 + a + b - 12 = 0
-1 + a - b - 12 = 0
Rearraning the equations, we have:
a + b = 11
a - b = 13
Now, we can solve this system of equations. Adding the two equations, we get:
2a = 24
a = 12
Substituting the value of a into one of the equations, we find:
12 - b = 13
b = -1
Therefore, the values of a and b are 12 and -1 respectively.

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The sizes of the largest circle and sphere that fit in the space at the center of the square and cube are;

17 (a) The radius of the largest circle is r₂ = r₁·(√2 - 1)

(b) The radius of the largest sphere is, r₂ = r₁·(√3 - 1)

The diagonal of a square or a cube is the straight line joining the furthest corners of the square or cube and which passes through their center.

17. (a) The radius of each of the four circles = r₁

The side length of the square = 4·r₁

The radius, r₁, of the largest circle that can fit into the space at the center of the square is therefore found as follows;

The diagonal length of the square = √((4·r₁)² + (4·r₁)²) = 4·r₁·√2

In terms of r₂, we have the following equations for the diagonal of the square;

The length of the diagonal = 2·r₁·√2 + 2·r₁ + 2·r₂ = 4·r₁·√2

2·r₂ = 4·r₁·√2 - 2·r₁·√2 - 2·r₁ = 2·r₁·√2 - 2·r₁

r₂ = r₁·√2 - r₁ = r₁·(√2 - 1)

(b) The length of the diagonal of a cube is √3 × a

Where;

a = The edge length of the cube.

The length of the diagonal of the cube in the question is therefore;

Length of diagonal = 4r₁·√3

In terms of the radius of the sphere, r₂, we have;

Length of diagonal = 2·r₂ + 2·r₁ + 2·r₁·√3

Which gives;

2·r₂ + 2·r₁ + 2·r₁·√3 = 4r₁·√3

2·r₂ = 4r₁·√3 - (2·r₁ + 2·r₁·√3) = 2·r₁·√3 - 2·r₁

2·r₂ = 2·r₁·√3 - 2·r₁

r₂ = r₁·√3 - r₁

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Answer:

(a)0.0005

(b)0.2720

Step-by-step explanation:

Total Number of Transistors = 16

To find the probability that 4 selected at random are defective (or non-defective), we find the probability of the 1st, 2nd, 3rd, and 4th defective (or non-defective) items in that order, Note that the selection is without replacement.

(a)Probability that  all are defective

Number of Defective Transistors =4

P(all are defective) \(=\dfrac{4}{16} \times \dfrac{3}{15} \times \dfrac{2}{14} \times \dfrac{1}{13}\)

=0.0005

(b)Probability that  none are defective

Number of Non-Defective Transistors =16-4=12

P(none are defective) \(=\dfrac{12}{16} \times \dfrac{11}{15} \times \dfrac{10}{14} \times \dfrac{9}{13}\)

=0.2720

Answer:

-2/3

Step-by-step explanation:

i took the quiz on k12