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nydimaria [60]
3 years ago
9

Kenny’s weight is 6/7 times Melvin’s weight.

Mathematics
1 answer:
Mazyrski [523]3 years ago
3 0

Answer=7:13


Kenny's Weight*6/7=Melvin's Weight


So, for example, if Melvin's weigh was 7...


Kenny's Weight*6/7=7

divide both sides by 6/7

Kenny Weight=6


So we can say that Melvin's weight to Kenny's weight is 7:6


The boys total weights would be...

7+6=13



So Melvin's weight over the total weight of the two boys is:


7:13



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Software to detect fraud in consumer phone cards tracks the number of metropolitan areas where calls originate each day. It is f
pashok25 [27]

Answer:

0.999987

Step-by-step explanation:

Given that

The user is a legitimate one = E₁

The user is a fraudulent one = E₂

The same user originates calls from two metropolitan areas  = A

Use Bay's Theorem to solve the problem

P(E₁) = 0.0131% = 0.000131

P(E₂) = 1 - P(E₁)  = 0.999869

P(A/E₁) = 3%  = 0.03

P(A/E₂) = 30% = 0.3

Given a randomly chosen user originates calls from two or more metropolitan, The probability that the user is fraudulent user is :

P(E_2/A)=\frac{P(E_2)\times P(A/E_2)}{P(E_1)\times P(A/E_1)+P(E_2)\times P(A/E_2)}

=\frac{(0.999869)(0.3)}{(0.000131)(0.03)+(0.999869)(0.3)}

\frac{0.2999607}{0.00000393+0.2999607}

\frac{0.2999607}{0.29996463}

= 0.999986898 ≈ 0.999987

6 0
3 years ago
Graham graphs the following system of equations to determine its solution.
V125BC [204]

Answer: (2,2)

Step-by-step explanation:

I'm going to use substitution to solve this:

First, I use the second equation to solve for y in terms of x.

2x - y = 2

-y = 2 - 2x

y = 2x - 2

Then, I plug the value for y into the first equation:

2x + 4y = 12

2x + 4(2x - 2) = 12

2x + 8x - 8 = 12

10x - 8 = 12

10x = 20

x = 2

Now that we have x, we can plug it into either equation (I used the first) to get the value for y:

2x + 4y = 12

2(2) + 4y = 12

4 + 4y = 12

4y = 8

y = 2

We get the point (2,2) as a solution.

Note: This is the point where both lines intersect.

3 0
3 years ago
At the start of 2014, Mike's car is worth 12000. the car depreciates by 30 percent every year. how much is his car worth in 2017
Anarel [89]

Answer:

$4,116

Step-by-step explanation:

Worth of Mike's car at the start of 2014 = $12,000

If the car is said to depreciates every year by 30% = 30/100 = 0.3

The worth of the car at the start of 2017 is what we are to determine.

This means that the car depreciated by 30% (0.3) for 3 years since 2014 (2017 - 2014 = 3 yrs)

The worth at the start of 2017 would be calculated as follows:

12,000 × (1 - 0.3)³

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Worth of the car at the start of 2017 would be $4,116

4 0
3 years ago
Given functions f(x)=3x^2, g(x)= x^2-4x+5, and h(x)=-2x^2+4x+1<br> Rank them from least to greatest
Sindrei [870]
Ok, ranked by axis of symmetry

basically x=something is the axis of symmetry
the way to find the axis of symmetry is to convert to vertex form and find h and that's the axis of symmetry

but there's an easier way

for f(x)=ax^2+bx+c
the axis of symmetry is x=-b/2a
nice hack my teacher taught me


so

f(x)=3x^2+0x+0
axis of symmetry is -0/(3*2), so x=0 is the axis of symmetry for f(x)

g(x)=1x^2-4x+5,
axis of symmetry is -(-4)/(2*1)=4/2=2, x=2 is axis of symmetry for g(x)


h(x)=-2x^2+4x+1
axis of symmetry is -4/(2*-2)=-4/-4=1, x=1 is the axis of symmetry for h(x)


0<1<2
axisies
f(x)<h(x)<g(x)

order based on their axises of symmetry is f(x), h(x), g(x)
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A coin was flipped 150 times. The results of the experiment are shown in the following table:
Zolol [24]

Answer:

A it is 10% higher than the theoretical probability

Step-by-step explanation:

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