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OlgaM077 [116]
3 years ago
12

Find the value for x? X-5+5x-12=25

Mathematics
1 answer:
levacccp [35]3 years ago
5 0
X-5+5x-12=25
x+5x=25+5+12
6x=42
x=42/6
x=7
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A car can travel 80 miles an hour. How many miles will the car travel in 6 3/4 hours?
Hoochie [10]
6 3/4= 6.75

80 mph * 6.75 hours = 540 miles total

Final answer: 540 miles
7 0
3 years ago
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Now consider just the second sentence of the multistep word problem. Sentence 2: If four times the brother's age is subtracted f
Natalka [10]

Answer:

4b - 3s = 40

4b = 40 + 3s

b = 40 - 3s/4

4b - 3s = 40

4b - 40 =3s

4b - 40 /3 = s

8 0
3 years ago
Can lengths 7,1,7 form a triangle
Vadim26 [7]

Answer:

Yes

Step-by-step explanation:

There is no unclosable gap. 7+1>7. 7+7>1. An isosceles triangle would be formed.

4 0
3 years ago
Grading managers. Some companies "grade on a bell curve" to compare the performance of their managers and professional workers.
Monica [59]

Answer:

\mu = 250, \sigma = 175.781

Step-by-step explanation:

Previous concepts

Normal distribution, is a "probability distribution that is symmetric about the mean, showing that data near the mean are more frequent in occurrence than data far from the mean".

The Z-score is "a numerical measurement used in statistics of a value's relationship to the mean (average) of a group of values, measured in terms of standard deviations from the mean".  

Solution to the problem

Let X the random variable that represent the grades of a population, and for this case we know the distribution for X is given by:

X \sim N(\mu,\sigma)  

For this case we have two conditions given:

P(X

P(X>475) = 0.1 or equivalently P(X

And the best way to solve this problem is using the normal standard distribution and the z score given by:

z=\frac{x-\mu}{\sigma}

So we can find a value from the normal standard distribution that accumulates 0.1 and 0.9 of the area in the left, for this case the two values are:

z= -1.28, z=-1.28

We can verify that P(Z<-1.28) =0.1[/tex] and P(Z<1.28) =0.9[/tex]

And then using the z score we have the following formulas:

-1.28 = \frac{25 -\mu}{\sigma}   (1)

1.28 = \frac{475 -\mu}{\sigma}   (2)

If we add equations (1) and (2) we got:

\frac{25 -\mu}{\sigma} + \frac{475 -\mu}{\sigma} =0

We can multiply both sides of the equation by \sigma and we got:

25+ 475 -2 \mu = 0

\mu = \frac{500}{2}= 250

And then we can find the standard deviation for example from equation (1) and we got:

\sigma = \frac{25-250}{-1.28}=175.781

So then the answer would be:

\mu = 250, \sigma = 175.781

 

3 0
2 years ago
a boat costs $16600 and decreased in value by 14% per year. How much will the boat be worth after 11 years?
mr_godi [17]

The worth of boat after 11 years is $ 3159.3013

<em><u>Solution:</u></em>

Given that,

Boat costs $16600 and decreased in value by 14% per year

To find: Worth of boat after 11 years

<em><u>The formula for decreasing function is given as:</u></em>

y = a(1-r)^t

Where,

y is the value after "t" years

t is the number of years

a is the initial value

r is decreasing rate in decimal

<em><u>From given,</u></em>

a = 16600

t = 11

r = 14 \% = \frac{14}{100} = 0.14

<em><u>Substituting the values we get,</u></em>

y = 16600(1-0.14)^{11}\\\\y = 16600(0.86)^{11}\\\\y = 16600 \times 0.1903\\\\y = 3159.3013

Thus the worth of boat after 11 years is $ 3159.3013

4 0
3 years ago
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