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m_a_m_a [10]
3 years ago
7

Joe's father is 15 more than twice Joe's age. How old is Joe's father? Solve algebraically.

Mathematics
2 answers:
dalvyx [7]3 years ago
6 0

Answer:

Joe's father is 45.

Step-by-step explanation:

3x-x+2=4

MA_775_DIABLO [31]3 years ago
5 0

Step-by-step explanation:

Let the age of Joe be x

let the age of Joe's Father be y

Then the age of Joe's Father is 15 more than twice Joe's age

ie., y = 15 + 2x

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A researcher is interested in the lengths of brook trout, which are known to be approximately Normally distributed with mean 80
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Answer:

P(X

And we can find this probability with the normal standard distirbution or excel and we got:

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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 lenghts of a population, and for this case we know the distribution for X is given by:

X \sim N(80,5)  

Where \mu=80 and \sigma=5

We are interested on this probability

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}

If we apply this formula to our probability we got this:

P(X

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P(z

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3 years ago
Calculate the average speed of a train that
lorasvet [3.4K]

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Step-by-step explanation:

4 0
3 years ago
1. Define: Capacity
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Read 2 more answers
indicate the equation of the line, in standard form, that is the perpendicular bisector of the segment with endpoints (-1,6) and
vladimir1956 [14]

The equation of the line, in standard form, that is the perpendicular bisector of the segment with endpoints (-1,6) and (5, 5) is <u>12x - 2y = 13</u>.

In the question, we are asked to indicate the equation of the line, in standard form, that is the perpendicular bisector of the segment with endpoints (-1,6) and (5, 5).

The slope of the line with endpoints (-1,6) and (5,5), can be calculated as:

m = (6 - 5)/(-1 - 5) = 1/(-6) = -1/6.

Thus, the slope of the perpendicular bisector = -1/m = -1/(-1/6) = 6.

The perpendicular bisector passes through the midpoint of the line with endpoints (-1,6) and (5,5), which can be calculated as:

(x₁, y₁) = ( {(-1 + 5)/2},{(6 + 5)/2} ),

or, (x₁,y₁) = (2, 11/2).

Thus, the required equation can be shown as:

(y - 11/2) = 6(x - 2), which can be shown in the standard form as follows:

(2y - 11)/2 = 6x - 12,

or, 2y - 11 = 12x - 24,

or, 12x - 2y = 13.

Thus, the equation of the line, in standard form, that is the perpendicular bisector of the segment with endpoints (-1,6) and (5, 5) is <u>12x - 2y = 13</u>.

Learn more about the equation of perpendicular bisector at

brainly.com/question/20608689

#SPJ4

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2 years ago
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