Answer:
Step-by-step explanation:
Let x be the random variable representing the number of miles that each person walked each day for 6 months. Since it is normally distributed and the population mean and population standard deviation are known, we would apply the formula,
z = (x - µ)/σ
Where
x = sample mean
µ = population mean
σ = standard deviation
For Rueben,
µ = 5
σ = 1.1
the probability that Rueben walked more than 6.1 miles is expressed as
P(x > 6.1) = 1 - P( x ≤ 6.1)
For x = 6.1,
z = (4 - 6.1)/1.1 = - 1.91
Looking at the normal distribution table, the probability corresponding to the z score is 0.02807
P(x > 6.1) = 1 - 0.02807 = 0.97193
P(x > 6.1) = 0.97 × 100 = 97%
For Victor,
µ = 4.4
σ = 1.4
the probability that Victor walked less than 5.8 miless is expressed as
P(x < 5.8)
For x = 5.8,
z = (5.8 - 4.4)/1.4 = 1
Looking at the normal distribution table, the probability corresponding to the z score is 0.8413
P(x < 5.8) = 0.84 = 84%
The value of the missing length in the image shown using the Pythagoras theorem is x = 65
<h3>What is an
equation?</h3>
An equation is an expression that shows the relationship between two or more variables and numbers.
Pythagoras theorem is used to show the relationship between the sides of a right angled triangle.
Let h represent the missing red line. Using Pythagoras:
x² = h² + 25²
h² = x² - 25²
Also:
r² = h² + 144²
r² = x² - 25² + 144²
And:
(144 + 25)² = r² + x²
(144 + 25)² = (x² - 25² + 144²) + x²
x = 65
The value of the missing length in the image shown using the Pythagoras theorem is x = 65
Find out more on equation at: brainly.com/question/2972832
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The measure of the angle formed by 2 chords that intersect inside the circle is 1/2<span> the sum of the chords' intercepted arcs.
</span>
(83 + x)/2 = 107
83 + x = 107 * 2
83 + x = 214
x = 214 - 83
x = 131°
As for a specific equation, I could not say. However, I can tell you how to find x!
The first thing to remember is that a straight line has a 180 degree angle.
You see on the bottom side that we have a 146 degree angle. Now look at the top side. Look closely, and you will see that the two sides are actually identical!
Don't see it? Look at the line on top between x and 56, and imagine it is not there. You see that we actually have the same 146 degree angle, just flipped right side up!
However, this angle does not say 146, but makes an extra line between them with x and 56. This means that x + 56 equals 146!
So we can find x by subtracting 56, from 146, which is... 90!