Answer:
Step-by-step explanation:
Given that:
mean (μ) = 476 grams, standard deviation (σ) = 36 grams. P(z) = 19%
The z score shows by how many standard deviation the raw score is above or below the mean. It is given by the equation:
![z=\frac{x-\mu}{\sigma}](https://tex.z-dn.net/?f=z%3D%5Cfrac%7Bx-%5Cmu%7D%7B%5Csigma%7D)
Since the 19% weigh more, therefore 81% (100% - 19%) weigh less.
From the normal distribution table, the z score that corresponds to a probability of 81%(0.81) = 0.87
We substitute z = 0.88 in the z score equation to find the raw score. Therefore:
![z=\frac{x-\mu}{\sigma}\\0.87=\frac{x-476}{36}\\ x-476=31.32\\x=31.32+476\\x=507.32\\](https://tex.z-dn.net/?f=z%3D%5Cfrac%7Bx-%5Cmu%7D%7B%5Csigma%7D%5C%5C0.87%3D%5Cfrac%7Bx-476%7D%7B36%7D%5C%5C%20x-476%3D31.32%5C%5Cx%3D31.32%2B476%5C%5Cx%3D507.32%5C%5C)
x ≅ 507 grams
Therefore 19% of fruits weigh more than 507 grams
Answer:
Perimeter of the triangle is
units
Step-by-step explanation:
Given a
degree angled triangle
Let us calculate the length of side opposite the 30 degree angle
hypotenuse
units
length of side opposite the 60 degree angle
units
The perimeter of a triangle is equal to the sum of length of all three sides
Thus, the perimeter of this
degree angled triangle is
units
Thus, the perimeter of the triangle is
units
Answer:
Step-by-step explanation:
Fractions
We are going to be checking each statement in order to find which of them are correct:
<h2>5/6 < 6/8 - 5/6 is smaller than 6/8</h2>
We can see that in the drawing 3/8 is smaller than 5/6. Then this statement is false.
<h2>
4/6 < 5/8 - 4/6 is smaller than 5/8</h2>
We can see that in the drawing 5/8 is smaller than 4/6. Then this statement is false.
<h2>
2/6 = 3/8 - 2/6 is equal to 3/8</h2>
We can see that in the drawing 3/8 is bigger than 2/6. Then this statement is false.
<h2>
3/6 = 4/8 - 3/6 is equal to 4/8</h2>
We can see that in the drawing 4/8 is equal to 3/6. Then this statement is true.
<h2>
Answer: 3/6 = 4/8</h2>
Answer:
x = 12
Step-by-step explanation:
Given: the overall angle m∠ADC = (16x − 55) and m∠ADB = 5x - 13.
To solve for x , you can make another equation where
90° (right angle) + m∠ADB = m∠ADC; substitute with terms given
90 + (5x - 13) = (16x - 55); remove parenthesis and combine numbers
5x + 77 = 16x - 55; subtract 5x from both sides
77 = 11x - 55; add 55 to both sides
11x = 132; divide by 11
x = 12