So first thing is find the number of small boxes. Find 1% of 120, 1.2. Multiply 1.2 by 35, it’s 42.
Next find what the percent that 2/5 is. Divide two by five, it’s .4 or 40%. We already know one percent is 1.2 so multiply 1.2 by 40, 48.
Add this two.
42+48=90.
120-90=30
Small boxes:42
Medium boxes: 48
Large:30
42*6=252
48*10=480
15*30=450
1182 eggs total.
Step-by-step explanation:
x^2 + 10x = -25
x^2 + 10x + 25 = 0
（x+5)^2=0
x=－5
8) So remember the sum of all angles inside a triangle is equal to 180°. We first want to figure out the angle below the 110°.
A straight line is 180° so if we do 180 - 110 we get 70° therefore the angle below the 110° is 70°.
So we now know two angles in the triangle, 70° and 80°. Add these and we get 150°. Now we can determine the final angle (the one labelled (2x - 6)) which will be 30°.
So let’s make it into an equation:
2x - 6 = 30
Add 6 to both sides to isolate 2x:
2x = 36
Divide by 2 to get the value of x:
x = 18
10) Since the sum of all angles in a triangle is 180, and there are only 3 angles, we can determine A easily.
B = 10°
C = 160°
So to determine A:
180 - 160 - 10
Which gives us 10
Therefore A = 10°.
So the answers:
8) x = 18
9) A = 10°
I hope this helps you!!
Answer:
--- Standard deviation
Step-by-step explanation:
Given
See attachment for graph
Solving (a): Explain how the standard deviation is calculated.
<u>Start by calculating the mean</u>
To do this, we divide the sum of the products of grade and number of students by the total number of students;
i.e.
So, we have:
Next, calculate the variance using the following formula:
i.e subtract the mean from each dataset; take the squares; add up the squares; then divide the sum by the number of dataset
So, we have:
Lastly, take the square root of the variance to get the standard deviation
--- approximated
<em>Hence, the standard deviation is approximately 11.28</em>
Considering the calculated mean (i.e. 82.76), the standard deviation (i.e. 11.28) is small and this means that the grade of the students are close to the average grade.
The sum of the expression (–x² + x) and (x² – 3x – 1) will be –2x – 1. Then the correct option is D.
<h3>What is Algebra?</h3>
The analysis of mathematical representations is algebra, and the handling of those symbols is logic.
The expression can be written as
(–x² + x) and (x² – 3x – 1)
Then the sum of the expression (–x² + x) and (x² – 3x – 1) will be
(–x² + x) + (x² – 3x – 1) = –2x – 1
Then the correct option is D.
More about the Algebra link is given below.
brainly.com/question/953809
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