In the diagram JKL ~ MNO, what is the length of side KL?

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Using conditional probability, it is found that there is a 0.5714 = 57.14% probability that the student speaks ilocano given that he speaks kankanaey.

Conditional probability is the probability of one event happening, considering a previous event. The formula is:

[tex]P(B|A) = \frac{P(A \cap B)}{P(A)}[/tex]

In which:

In this problem, the events are given as follows:

Hence, the parameters are given as follows:

[tex]P(A \cap B) = 0.4, P(A) = 0.7[/tex]

Then, the probability that the student speaks ilocano given that he speaks kankanaey is given by:

[tex]P(B|A) = \frac{P(A \cap B)}{P(A)} = \frac{0.4}{0.7} = 0.5714[/tex]

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Answer:

2nd one

Step-by-step explanation:

Just the 2nd one

Answer:

Step-by-step explanation:

Answer:

114 minutes

Step-by-step explanation:

samara runs 4 miles in 38 minutes

---------------------------------------------------

time taken to cover a distance of 12 miles:

many minutes will it take her to run 12 miles is 114 minutes

Answer:

18:1

Step-by-step explanation:

Answer:

The value of Mary's investment after two years = £12362.7

Step-by-step explanation:P = Principal / initial amountR = rate of interest per cent per yearT = number of yearsA = final amount at the end of T yearsThen:A = P*(1 + R/100)^2In our example:P = £12000R = 1.5 per cent per yearT = 2 yearsThus:A = 12000*(1 + 1.5/100)^2   = 12000*(1 + 0.015)^2   = 12000*(1.015)^2    = 12000*(1.030225)    = 12362.7Value of investment after two years = £12362.7

The length of the guys wire should be = 22.1 feet

The pythagorean theorem states that the square on the hypotenuse is equal to the sum of the squares on the other two sides.

Therefore,

[tex]c {}^{2} = 20.4 {}^{2} + 8.5 {}^{2} [/tex]

[tex]c {}^{2} = 416.16 + 72.25[/tex]

[tex]c {}^{2} = 488.41[/tex]

[tex]c = \sqrt{488.41} [/tex]

c = 22.1 feet.

Where c represents the length of the guys wire

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Answer:

D. 35 of teenagers chose to listen to Music

Step-by-step explanation:

We are given the following info

All we have to do next is find the percentage of Teenagers that Listened to music which is already given to us: 28%

Now we find 28% of 125 and we get 35 teenagers

Hope I could help

Answer:

35

Step-by-step explanation:

28%of 125 = 35

16% of 125 = 20

24% of 125 = 30

32% of 125 = 40

Answer:

hope u understand

180°-142°=38°

x=38°

here is your answer

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Answer:

142

Step-by-step explanation:

because it is an obtuse angle and it is equvilent to an exteroir angle which is also 142 degrees

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Answer:

1. 8 cm

2. 64 cm

3. 512 cm

Step-by-step explanation:

The side lengths of cube are 8

The formula for volume is the length*width*height

A-4*4*4

4*4*4=64 cm

B-8*8*8=512 cm

Answer:1. 8 cm2. 64 cm3. 512 cmStep-by-step explanation:The side lengths of cube are 8The formula for volume is the length*width*heightA-4*4*44*4*4=64 cmB-8*8*8=512 cm

Answer:

The number is -3

Step-by-step explanation:

First, let's translate the statement into an equation.

Step 1: Subtract 2x from both sides.

Step 2: Divide both sides by 2.

Therefore, the number is -3/

If the number times four is six less than twice the number then the number will be -3.

Equation is relationship between two or more variables that are expressed in equal to form. Equation of two variables look like ax+by=c. It is of many types like linear equation, quadratic equation, cubic equation, etc.

let the number be x.

According to the questions the following equation can be made:

4x=2x-6

We have multiplied by 4 with the number and 2 with number and subtracted 6 because it is given that 4 times the number is equal to twice the number less 6.

Now we have to solve the equation for x.

4x-2x=-6

2x=-6

x=-6/2

x=-3

Hence if the number times four is six less than twice the number then the number will be -3.

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Answer:

580 circulars

Step-by-step explanation:

Formula: Number of circulars divide by Hours

435 circulars / 3 hours = x circulars / 4.5 hours

145 circulars / 1 hour = x circulars / 4 hours

(145 circulars / 1 hour) * 4 hours = x circulars

580 circulars = x circulars

x = 580 circulars, delivered in 4 hours

Hence, at this rate James will delivers 580 circulars in 4 hours.

[RevyBreeze]

James will be able to deliver 600 circulars in 4 hrs

Answer:

13/2<x<12

or  (13/2, 12)

Step-by-step explanation:

break the promblem into two seperate equations and solve.

Answer:

The problem is not shown:

7 / 10 = 70 %

70% of 400 = 280       drink tea

20% of 400 = 80     drink at least 3 cups / day

(70 - 20)% of 400 = 200 drink tea but not as much as 3 cups / day

30% of 400 = 120  do not drink tea

Answer:

73 is the answer 100%

Step-by-step explanation:

Hoped this helped a little at least :)

*UPDATED*

Using abosute value formulas:

|a + bi| = sqrt( a + bi)(a-bi) = sqrt(a^2 + b^2)

In the given equation a = 3 and b = 8

sqrt(3^2 + 8^2)

Sqrt(73)

Answer: sqrt(73)

Answer:

220

Step-by-step explanation:

First you divide 15 by 2 then you take the answer and multiply the 1750 . Last but not least you divide the answer by 60 to get your answer

Answer:

The maximum number of circular displays that can be used is 4.

Or C on edge

Step-by-step explanation:

The expression 16w² + 24w + 9 can be written in form as (4w+3)².

Expressions are defined as mathematical statements that have a minimum of two terms containing variables or numbers.

The expression is given as:

⇒ 16w² + 24w + 9

To factor this expression, we can use the following steps:

Find two numbers that multiply to 16w² and add to 24w. The two numbers are 4w and 6w.

Create two binomials with the two numbers found in step 1. The binomials are 4w+3 and  (4w+3).

Multiply the two binomials together to get the factored form of the expression. The factored form is  (4w+3)².

Therefore, the equivalent expression to 16w² + 24w + 9 is (4w+3)².

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PEMDAS is the way to solve these types of equations

  [tex](6+5)-16=(11)-16 = 11 - 16 = -5[/tex]

Hope that helps!

See the attached picture with the solution.

Answer:

x=1

Step-by-step explanation:

f(x) = 2x + 1

g(x) = 5x – 2

f(x) = g(x)

2x+1 = 5x-2

Subtract 2x from each side

2x+1 = 5x-2-2x

1 = 3x-2

Add 2 to each side

1+2 =3x-2+2

3 = 3x

Divide by 3

3/3 =3x/3

1 =x

Answer:

1.5

Step-by-step explanation:

Dividing two fractions is the same as multiplying the first fraction by the reciprocal value of the second fraction.

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Answer:

Subtract 1/4x from each side (Yes)

Answer:

no, yes, yes, no, no, yes

Step-by-step explanation:

113 in .8 hours

113 / 4 in .2 hours

28.25 in .2 hours

28.25 * 5 in 1 hour

141.25 in 1 hour

141.3 mph

Answer:

14.09415

Step-by-step explanation:

Explanation:

Locate x = 0 on the x axis number line.

Then move up or down until you reach the blue curve. In this case we move upward.

You should arrive at y = 4

This means (x,y) = (0,4) is a point on the blue cubic curve, and that f(0) = 4.

Answer:

One solution                    

Step-by-step explanation:

5x + y = 8

15x + 15y = 14

Lets solve using substitution, first we need to turn "5x + = 8" into "y = mx + b" or slope - intercept form

So we solve for "y" in the equation "5x + y = 8"

5x + y = 8

Step 1: Subtract 5x from both sides.

5x + y − 5x = 8 − 5x

Step 2: 5x subtracted by 5x cancel out and "8 - 5x" are flipped

y = −5x + 8

Now we can solve using substitution:

We substitute "-5x + 8" into the equation "15x + 15y = 14" for y

So it would look like this:

15x + 15(-5x + 8) = 14

Now we just solve for x

15x + (15)(−5x) + (15)(8) = 14(Distribute)

15x − 75x + 120 = 14

(15x − 75x) + (120) = 14(Combine Like Terms)

−60x + 120 = 14

Step 2: Subtract 120 from both sides.

−60x + 120 − 120 = 14 − 120

−60x = −106

Divide both sides by -60

[tex]\dfrac{ -60x }{ -60 } = \dfrac{ -106 }{ -60 }[/tex]

Simplify

[tex]x = \dfrac{ 53 }{ 30 }[/tex]

Now that we know the value of x, we can solve for y in any of the equations, but let's use the equation "y = −5x + 8"

[tex]\mathrm{So\:it\:would\:look\:like\:this:\ y = -5 \left( \dfrac{ 53 }{ 30 } \right) +8}[/tex]

[tex]\mathrm{Now\:lets\:solve\:for\:"y"\:then}[/tex]

[tex]y = -5 \left( \dfrac{ 53 }{ 30 } \right) +8}[/tex]

[tex]\mathrm{Express\: -5 \times \dfrac{ 53 }{ 30 }\:as\:a\:single\:fraction}[/tex]

[tex]y = \dfrac{ -5 \times 53 }{ 30 } +8[/tex]

[tex]\mathrm{Multiply\:-5 \:and\:53\:to\:get\:-265 }[/tex]

[tex]y = \dfrac{ -265 }{ 30 } +8[/tex]

[tex]\mathrm{Simplify\: \dfrac{ -265 }{ 30 } \:,by\:dividing\:both\:-265\:and\:30\:by\:5} }[/tex]

[tex]y = \dfrac{ -265 \div 5 }{ 30 \div 5 } +8[/tex]

[tex]\mathrm{Simplify}[/tex]

[tex]y = - \dfrac{ 53 }{ 6 } +8[/tex]

[tex]\mathrm{Turn\:8\:into\:a\:fraction\:that\:has\:the\:same\:denominator\:as\: - \dfrac{ 53 }{ 6 }}[/tex]

[tex]\mathrm{Multiples\:of\:1: \:1,2,3,4,5,6}[/tex]

[tex]\mathrm{Multiples\:of\:6: \:6,12,18,24,30,36,42,48}[/tex]

[tex]\mathrm{Convert\:8\:to\:fraction\:\dfrac{ 48 }{ 6 }}[/tex]

[tex]y = - \dfrac{ 53 }{ 6 } + \dfrac{ 48 }{ 6 }[/tex]

[tex]\mathrm{Since\: - \dfrac{ 53 }{ 6 }\:have\:the\:same\:denominator\:,\:add\:them\:by\:adding\:their\:numerators}[/tex]

[tex]y = \dfrac{ -53+48 }{ 6 }[/tex]

[tex]\mathrm{Add\: -53 \: and\: 48\: to\: get\: -5}[/tex]

[tex]y = - \dfrac{ 5 }{ 6 }[/tex]

[tex]\mathrm{The\:solution\:is\:the\:ordered\:pair\:(\dfrac{ 53 }{ 30 }, - \dfrac{ 5 }{ 6 })}[/tex]

So there is only one solution to the equation.

Let's verify

As LHS not equal to RHS

FATHER = 123456

That means that each letter of father represents the following numbers:

Now,

Let's see the given code

4526

Which letters are they representing, Let's see:

Thus, 4526 is the code for the word Hear...

Answer:

[tex]x = 0.68[/tex]

Step-by-step explanation:

We would like to find out the value of x using logarithms of the given equation .The equation is ,

[tex]\longrightarrow 25^x - 3(5^x)=0\\[/tex]

Add [tex]3(5^x)[/tex] on both sides,

[tex]\longrightarrow 25^x = 3(5^x) [/tex]

Using log to the base 10 on both sides, we have;

[tex]\longrightarrow log_{10}(25^x) = log_{10}\{3(5^x)\}[/tex]

Recall that [tex] log(ab ) = log\ a + log\ b [/tex] .

[tex]\longrightarrow log_{10}(25^x)=log_{10}3 + log_{10}5^x [/tex]

Recall the properties of logarithm as [tex] log\ a^b = b\ log\ a [/tex] .

[tex]\longrightarrow xlog25 = log_{10}3 + xlog_{10}5 [/tex]

Again we can rewrite it as ,

[tex]\longrightarrow xlog(5^2)=log_{10}3+xlog_{10}5\\ [/tex]

[tex]\longrightarrow 2x\ log_{10}5 = log_{10}3+xlog_{10}5 \\ [/tex]

[tex]\longrightarrow 2x\ log_{10}5-x\ log_{10}5 = log_{10}5 [/tex]

Simplify,

[tex]\longrightarrow x\ log_{10}5=log_{10}3 [/tex]

Divide both sides by log5 ,

[tex]\longrightarrow x =\dfrac{log_{10}3}{log_{10}5} [/tex]

Put on the values of log 3 and log5 ,

[tex]\longrightarrow x =\dfrac{0.47}{0.69} [/tex]

Simplify,

[tex]\longrightarrow \underline{{\underline{\boldsymbol{ x = 0.68}}}}[/tex]

And we are done!