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velikii [3]
3 years ago
5

Can someone please help me with this problem

Mathematics
1 answer:
Nadusha1986 [10]3 years ago
5 0
X= 2/3

6x/x-6 - 4/x - 24 / x^2 - 6x = 0


6x^2 -4 (x-6)-24 / x(x-6) = 0

6x^2 -4x+ 24 -24/x(x-6) = 0

X(6x-4) / x(x-6)

6x-4/x-5 = 0

6x-4= 0

6x = 4 divide both sides by 6
X= 2/3
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LUCKY_DIMON [66]

Hello

x -  7

for  x =  23   = 23 - 7 = 16

3 a - b =  12 - 6 = 6

8/t  =  8/4 =  2

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2 years ago
The Federal Government is stepping up efforts to reduce average response times of fire departments to fire calls. Nationwide, th
TiliK225 [7]

Answer: in order to qualify, the time must be at least 15.93 minutes

Step-by-step explanation:

Let x be a random variable representing the average response times of fire departments to fire calls. Since it follows a normal distribution, we will determine the z score by applying the formula,

z = (x - µ)/σ

Where

x = sample mean

µ = population mean

σ = population standard deviation

From the information given,

µ = 12.8 minutes

σ = 3.7 minutes

in order to qualify for the special safety award, the probability value would be to the right of the z score corresponding to 80%

The z score corresponding to 80% on the normal distribution table is 0.845

Therefore,

0.845 = (x - 12.8)/3.7

0.845 × 3.7 = x - 12.8

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7 0
2 years ago
The ice cream vendor 's cold box holds 24 ice cream cups. The
jeyben [28]

Answer:

16

Step-by-step explanation:

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7 0
3 years ago
A six-foot person walks from the base of a broadcasting tower directly toward the tip of the shadow cast by the tower. When the
mixas84 [53]
B.  \tan{\alpha}= \frac{h}{122+3}

c.  
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4 0
3 years ago
How much interest is earned in 2 years on an investment of $2000? The interest rate is 3%.
Lelechka [254]

 In this sum we will calculate using the simple  interest.


Simple interest is calculated from the formula :

I  = PRT

where I is the interest, P is the principal, R is interest rate per year and t is time in years.

I = 2000 × 3 % x 2

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I = 2000 × 0.03 × 2

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I = 120

Therefore the interest earned in two years will amount to 120 $


7 0
3 years ago
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