find the values of x and y that make k ll j and m ll n

Answer:

C

Step-by-step explanation:

The critical value we are asked to state in this question is the value of the z statistic

Mathematically;

z-score = (x- mean)/SD/√n

From the question

x = 11.58

mean = 12

SD = 1.93

n = 80

Substituting this value, we have

z= (11.58-12)/1.93/√80 = -1.946

Answer:

Solution,

∆ ACB = ∆ EFD

finding the value of X,

[tex] \frac{x}{3.8} = \frac{15}{5} [/tex]

Apply cross product property

[tex]x \times 5 = 15 \times 3.8[/tex]

Calculate the product

[tex]5x = 57[/tex]

Divide both sides by 5

[tex] \frac{5x}{5} = \frac{57}{5} [/tex]

Calculate

[tex]x = 11.4[/tex]

Hope this helps...

Good luck on your assignment...

Answer:

3x

Step-by-step explanation:

18 x^2 / 6x

Divide the numbers

18/6 =3

Then divide the variables

x^2 /x = x

The result is 3x

Answer:

3x

Step-by-step explanation:

18x^2/6x

x^2 / x is x

18x/6

18/6 is 3

it all simplifies into 3x

Answer:

0

Step-by-step explanation:

An integer is colloquially defined as a number that can be written without a fractional component.

-3/4 ---- It is a fraction itself, so it is a fractional component

0 ---- Has no fractional component

2.3 Pi ---- Pi is irrational and is a decimal, so is 2.3. Most of this is a fractional component already.

The only one we can't eliminate using just the definition is 0.

Hope that helps, tell me if you need a further explanation

From the given numbers the number that is an integer is 0. The correct option is B.

An integer is a whole number that can be positive, negative, or zero and is not a fraction. Integer examples include: -5, 1, 5, 8, 97, and 3,043. The following numbers are examples of non-integer numbers: -1.43, 1 3/4, 3.14,.09, and 5,643.1.

Given the following numbers -(3/4), 0, 2.3, and π. Therefore, from the given numbers the number that is an integer is 0.

Hence, From the given numbers the number that is an integer is 0.

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Answer:

a. k = 3

b. N = 27

c. n = 9

Step-by-step explanation:

Given that,

Source :          sS                 dF            mS                F

Between:                            k -1        sSB/k-1             mSB

within                                  N-K        sSw/N-K           mSw

total                                     N-1

Therefore F ( 2, 24 ) = F ( K - 1, N - K )

so K - 1 = 2

K = 2 + 1

K = 3

N - K = 24

N - 3 = 24

N = 24 + 3

N = 27

married, single and divorced are equal sizes

so n = N/3

n = 27 / 3

n = 9

a. k = 3

b. N = 27

c. n = 9

Answer:

  C.  10

Step-by-step explanation:

The given information tells you that triangles YZX and YZA are congruent, so ZA = ZX = 10.

Answer: y=3

Step-by-step explanation:

To solve the equation, we want to get the same terms onto the same side and solve.

y+3=-y+9                 [add y on both sides]

2y+3=9                    [subtract 3 on both sides]

2y=6                        [divide 2 on both sides]

y=3

Answer:

y=3

Step-by-step explanation:

Answer:

[tex]\boxed{\mathrm{view \: explanation}}[/tex]

Step-by-step explanation:

A) 3x²c² + 5xc² - 2c²

Factor c² from all terms in the expression.

c²(3x² + 5x - 2)

Factor 3x² + 5x - 2

c²(3x-1)(x+2)

B) x² + 6x + 9

x² + 3x + 3x + 9

Factor common terms.

x(x+3)+3(x+3)

Take x+3 common.

(x+3)(x+3)

C) x² - 9

x² -3²

Apply formula : a² - b² = (a+b)(a-b)

(x+3)(x-3)

Answer:

A) [tex]c^2(3x-1)(x+2)[/tex]

B) [tex](x+3)(x+3)[/tex]

C) [tex](x+3)(x-3)[/tex]

Step-by-step explanation:

Part A:

[tex]3x^2c^2+5xc^2-2c^2[/tex]

Taking [tex]c^2[/tex] common

[tex]c^2(3x^2+5x-2)[/tex]

Using mid term break formula

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

[tex]c^2[3x(x+2)-1(x+2)][/tex]

[tex]c^2(3x-1)(x+2)[/tex]

Part B:

[tex]x^2 + 6x + 9.[/tex]

[tex](x)^2+2(x)(3)+(3)^2[/tex]

[tex](x+3)^2[/tex]

[tex](x+3)(x+3)[/tex]

Part C:

[tex]x^2-9[/tex]

[tex](x)^2-(3)^2[/tex]

[tex](x+3)(x-3)[/tex]

[tex] v = \sqrt{4900} + \sqrt{8100} = 70 + 90 = 160[/tex]

Answer: D. 160

Answer:

62

Step-by-step explanation:

180-116 makes us find out that angle C is 64, thus to find out the inner angles you gotta do 64+ (2x+4)+(3x-13)=180

You follow this operation, find out x and perform 3(25)-13, which ends up giving you 62

Answer:

62°

Step-by-step explanation:

The sum of two interior angles in a triangle is equal to an exterior angle that is not sharing a common side

2x + 4 + 3x - 13 = 116° add like terms

5x - 9 = 116°

5x = 125° divide both sides by 5

x = 25 and angle A is 3x - 13 so 3×25 - 13 = 62°

Answer:

D

Step-by-step explanation:

You can test this out with a number.

try dividing 23 by 8:

you will get 2 remainder 7 which works for the condition.

Note: Whenever you divide a number by x(other number) the remainder will always have to be to less than x:

The only one that applies to this aforementioned condition is 8.

Answer:

D

Step-by-step explanation:

The remainder can never be greater than the number by which it is divided

For example:

n = any number

n / 2 -> The remainder will never be greater than 2 (0 < remainder <2)

n / 3 -> The remainder will never be greater than 3 (0 < remainder <3)

n / 4 -> The remainder will never be greater than 4 (0 < remainder <4)

n / 5 -> The remainder will never be greater than 5 (0 < remainder <5)

n / 6 -> The remainder will never be greater than 6 (0 < remainder <6)

..... etc

Answer:

6y +2x +7

Step-by-step explanation:

10 + 6y + 2x - 3​

The only like terms are the constant

6y+2x +10-3

6y +2x +7

Answer:

2x + 6y + 7.

Step-by-step explanation:

10 + 6y + 2x - 3

= 2x + 6y - 3 + 10

= 2x + 6y + 7.

Hope this helps!

Answer:

-7 > x

Step-by-step explanation:

3(x-4)>5x+2

Distribute

3x-12>5x+2

Subtract 3x from each side

3x-12-3x>5x-3x+2

-12 > 2x+2

Subtract 2 from each side

-12-2>2x+2-2

-14 > 2x

Divide by 2

-14/2 > 2x/2

-7 > x

Answer:

[tex]\boxed{x<-7}[/tex]

Step-by-step explanation:

3(x-4)>5x+2

Expand brackets.

3x - 12 > 5x+2

Subtract 3x and 2 on both sides.

-12 - 2 > 5x - 3x

-14 > 2x

Divide both sides by 2.

-7 > x

Switch sides.

x < -7

Answer:

A) 1  2/3 yards

Step-by-step explanation:

Hope this helped

Answer:

The answer is A

Let me finish the quiz then upload a picture to this answer showing you the correct answer is A

Step-by-step explanation:

Answer:

Second choice is correct.

Step-by-step explanation:

Simple interest = $12600

Compounded interest = $14656

Best Regards!

Answer:

(A) With 99% confidence, the proportion that favours the Green initiative is between 418.895 and 423.105 (no approximation; answers were gotten exactly in 3 decimal places).

(B) If many groups of 593 (greater than the initial sample size of 556) randomly selected Americans were surveyed then a different confidence interval would be used or produced from each group.

About 90% of these confidence intervals will contain the true population proportion of Americans who favour the Green initiative and about 10% will not contain the true population proportion.

Step-by-step explanation:

(A) 99% of 421 = 416.79

421 - 416.79 = 4.21

4.21 ÷ 2 = 2.105

(421-2.105), (421+2.105)

The lower and upper limits are:

[418.895 , 423.105]

(B) A wider confidence interval such as 90% will be better suited in a case of multiple samples like this.

Answer:

  1.2b

Step-by-step explanation:

When we say, "a number that is 20% greater than b," we're talking about a number that is ...

  b + 20%×b

  = b + 0.20b

  = b(1 + 0.20)

  = 1.2b

Answer:

It should be about $19,500

Step-by-step explanation:

Answer:

$19,511.10

Step-by-step explanation:

1203*4.7= The total change over 4.7 years.

1203*4.7=5654.10

5654.10+13857=The total price after 4.7 years.

5654.10+13857=19,511.10

Answer:

answer is B

Step-by-step explanation:

Answer:

See below

Step-by-step explanation:

Proof:

Statements                                    |  Reasons

AD ≅ BC                                         | Given

AD ║ BC                                         | Given

AC ≅ AC                                         |  Reflexive Property

∠DAC ≅ ∠ACB                               | If 2 || lines are cut by a trans., the                                                                       |  alternate interior ∠s are congruent.

ΔADC ≅ ΔBCA                               | S.A.S  Postulate

BA ≅ DC                                         | Corresponding sides of congruent Δs

So, quad. ABCD is a ║gm             | If a quad. has its opposite sides

                                                       | congruent, the quad. is a parallelogram.

It is prove that given quadrilateral is a parallelogram.

            AD ≅ BC      and AD ║ BC              

            AC ≅ AC            

       So that,   ∠DAC ≅ ∠ACB                              

            ΔADC ≅ ΔBCA    

        So that, BA ≅ DC                                        

Hence, opposite sides of given quadrilateral are equal. Therefore, given quadrilateral are parallelogram.

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Answer:

60

Step-by-step explanation:

x + 0.30x = 78

1.30x = 78

x = 60

Answer:

The answer is 60.

Step-by-step explanation:

here, let another number be x.

according to the question the number when increased by 30% will be 78. so,

x+ 30% of x =78

now, x+ 30/100×x =78

or, x+0.3x=78

or, 1.3x=78

Therefore the another number is 60.

Hope it helps...

Answer:

[tex]tan(-1) \approx -0.02[/tex]

Step-by-step explanation:

The given expression is

[tex]tan(-1)[/tex]

The tangent of -1 is defined, it's around -0.02.

The tangent is a trigonometric function with a period of [tex]\pi[/tex], where each period is separated by a vertical asymptote which indicates that the function is not determined through all its domain, that's what the question refers to when it says "if is undefined, enter undefined".

However, at [tex]x=-1[/tex], the tangent is determined, that means, there's no asymptote on that coordinate, that's why it has a "determined value", which is -0.02 approximately.

[tex]tan(-1) \approx -0.02[/tex]

Answer:

m∠N = 51°

m∠M = 31°

m∠O = 98°

Step-by-step explanation:

It is given that ΔMNO is an isosceles triangle with base NM.

m∠N = (4x + 7)° and m∠M = (2x + 29)°

By the property of an isosceles triangle,

Two legs of an isosceles triangle are equal in measure.

ON ≅ OM

And angles opposite to these equal sides measure the same.

m∠N = m∠M

(4x + 7) = (2x + 29)

4x - 2x = 29 - 7

2x = 22

x = 11

m∠N = (4x + 7)° = 51°

m∠M = (2x + 9)° = 31°

m∠O = 180° - (m∠N + m∠M)

         = 180° - (51° + 31°)

         = 180° - 82°

         = 98°

Answer:

The percentage is  [tex]P(x_1 < X < x_2) = 47.7 \%[/tex]

Step-by-step explanation:

From the question we are told that

   The  population mean is  [tex]\mu = \$ 150000[/tex]

    The standard deviation is  [tex]\sigma = \$ 1200[/tex]

    The prices we are considering is [tex]x_1 = \$150000 \to \ x_2 = \$ 152400[/tex]

Given that the price is normally distributed , the percentage the percentage of buyers who paid between $150,000 and $152,400 is mathematically represented as

      [tex]P(x_1 < X < x_2) = P(\frac{x_1 - \mu}{\sigma } < \frac{X - \mu}{\sigma } < \frac{x_2 - \mu}{\sigma })[/tex]

So   [tex]\frac{X - \mu}{\sigma }[/tex]  is equal to z (the standardized value of  X  )

   So

        [tex]P(x_1 < X < x_2) = P(\frac{x_1 - \mu}{\sigma } <Z < \frac{x_2 - \mu}{\sigma })[/tex]

substituting values

       [tex]P(x_1 < X < x_2) = P(\frac{150000 - 150000}{1200 } <Z < \frac{152400 - 150000}{1200 })[/tex]

      [tex]P(x_1 < X < x_2) = P(0<Z < 2)[/tex]

      [tex]P(x_1 < X < x_2) = P( Z < 2) - P( Z < 0 )[/tex]

From the standardized normal distribution table [tex]P(Z < 2 ) = 0.97725[/tex] and  

   [tex]P(Z < 0) = 0.5[/tex]

So  

     [tex]P(x_1 < X < x_2) = 0.97725 - 0.5[/tex]

    [tex]P(x_1 < X < x_2) = 0.47725[/tex]

The percentage is  [tex]P(x_1 < X < x_2) = 47.7 \%[/tex]

Answer:C

Step-by-step explanation:

Pemdas

3+5(10)

5*10=50

3+50=53

Step-by-step explanation:

5 log₅ x − ¼ log₅ (8−x)

log₅ x⁵ − log₅ (8−x)^¼

log₅ x⁵ − log₅ ∜(8−x)

log₅ (x⁵ / ∜(8−x))

The expression 5 log₅ x - 1/4 log₅ (8 - x) can be condensed to [tex]log_{5} \frac{x^5}{\sqrt[4]{8-x} }[/tex] , using the laws of logarithms and exponents.

A logarithmic expression x = logₐb, implies that aˣ = b.

Some properties used to solve logarithmic expressions are:

In the question, we are asked to condense the expression:

5 log₅ x - 1/4 log₅ (8 - x)

= [tex]log_{5}x^{5} - log_{5}(8 - x)^{1/4}[/tex], (using the power law: logₐ xⁿ = n.logₐ x)

= [tex]log_{5}x - log_{5}\sqrt[4]{8 - x}[/tex], (since, [tex]x^{1/a} = \sqrt[a]{x}[/tex])

= [tex]log_{5} \frac{x^5}{\sqrt[4]{8-x} }[/tex] , (using the quotient law: logₓ a - logₓ b = logₓ a/b).

∴ The expression 5 log₅ x - 1/4 log₅ (8 - x) can be condensed to [tex]log_{5} \frac{x^5}{\sqrt[4]{8-x} }[/tex] , using the laws of logarithms and exponents.

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Answer:

B) –3x – 6 = 21

Step-by-step explanation:

Well the distributive property is the multiplying of a number by more numbers in parenthesis.

For example  -3(x + 2) by using the distributive property we get,

-3x - 6

Thus,

the answer is B) -3x - 6 = 21 because it shows the aftermath of the distributive property.

Hope this helps :)

When distributive property applies on 3(x + 2) = 21 expression than it changes as 3x + 6 = 21.

Distributive property explains us how to solve expressions in the form of a(b + c).

After apply distributive property this term convert as ab+ac.

The given expression is,

3(x + 2) = 21

To solve the expression, use distributive property,

According to distributive property,

a(b + c) changes in the form of ab+ac.

Solve for the given expression,

3x + 2×3 = 21

3x + 6 = 21

Solve for the value of x,

3x = 21 - 6

3x = 15

x = 5

Hence, option (C) is correct.

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Answer:

2 minutes

Step-by-step explanation:

You need to first subtract 9 from 11 and you get 2 minutes.

11 minutes will it take to fill the tub by both hot and cold water faucets.

What is Time?

Time as the progression of events from the past to the present into the future.

Given that,

the cold water faucet can fill the tub in 9 minutes

The hot water faucet can fill the tub in 11 minutes.

If both the faucets are used together then it takes 11 minutes to fill the tub because it takes longer time for hot water faucet to fill the tub.

Therefore it takes 11 min to fill the tub together.

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Answer:

f(x) = -(x + 1)² - 2

Step-by-step explanation:

f(x) = a(x - h)² + k

-6 = a(1 - -1)² + -2

-6 = a(4) -2

-4 = 4a

a = -1

f(x) = -(x + 1)² - 2

Answer:

Step-by-step explanation:

Permutation has to do with arrangement. If r objevt selected from n pool of objects are to be arranged in a straight line, this can be done in nPr number of ways.

nPr = n!/(n-r)!

If 5 people are to be chosen and arranged in a straight line, if there are 6 people to choose from, this can be done in  6P5 numbe of ways.

6P5 = 6!/(6-5)!

6P5 = 6!/1!

6P5 = 6*5*4*3*2*1

6P5  = 720 different ways