Answer:
the answer is A
Step-by-step explanation:
hope it's help
Complete Question
The histogram from this question is shown on the first uploaded image
Answer:
The first quartile is 
The median is 
The third quartile is 
The mean is 
Step-by-step explanation:
From the question we are told that
The total number of girls is n = 74
Generally the median is mathematically represented as
![Median = \frac{\frac{n}{2} +[ \frac{n}{2} + 1] }{2}](https://tex.z-dn.net/?f=Median%20%20%3D%20%20%5Cfrac%7B%5Cfrac%7Bn%7D%7B2%7D%20%20%2B%5B%20%5Cfrac%7Bn%7D%7B2%7D%20%2B%201%5D%20%20%7D%7B2%7D)
So
![Median = \frac{\frac{74}{2} +[ \frac{74}{2} + 1] }{2}](https://tex.z-dn.net/?f=Median%20%20%3D%20%20%5Cfrac%7B%5Cfrac%7B74%7D%7B2%7D%20%20%2B%5B%20%5Cfrac%7B74%7D%7B2%7D%20%2B%201%5D%20%20%7D%7B2%7D)
=> 
=> 
From the histogram 
fall under 2 fruits per day
Generally the first quartile is mathematically represented as
![1st \ Q = \frac{\frac{n}{4} + [\frac{n}{4} + 1] }{2}](https://tex.z-dn.net/?f=1st%20%5C%20Q%20%3D%20%20%5Cfrac%7B%5Cfrac%7Bn%7D%7B4%7D%20%2B%20%5B%5Cfrac%7Bn%7D%7B4%7D%20%2B%201%5D%20%20%7D%7B2%7D)
=> ![1st \ Q = \frac{\frac{74}{4} + [\frac{74}{4} + 1] }{2}](https://tex.z-dn.net/?f=1st%20%5C%20Q%20%3D%20%20%5Cfrac%7B%5Cfrac%7B74%7D%7B4%7D%20%2B%20%5B%5Cfrac%7B74%7D%7B4%7D%20%2B%201%5D%20%20%7D%7B2%7D)
=> 
From the histogram 
girl fall under 1 fruit per day
Generally the third quartile is mathematically represented as
=> 
=> 
From the histogram 
fall under 4 fruits per day
Generally from the histogram table the frequency [number of subjects (girls) ] and the servings of fruit per day can be represented as
Total
x(servings per day ) 0 1 2 3 4 5 6 7 8
f (number of subjects ) 15 11 15 11 8 5 3 3 3 
xf 0 11 30 33 32 25 18 21 24 
Generally the mean is mathematically represented as
![\= x = \frac{1}{ \sum f} * [\sum xf]](https://tex.z-dn.net/?f=%5C%3D%20x%20%3D%20%5Cfrac%7B1%7D%7B%20%5Csum%20f%7D%20%20%2A%20%5B%5Csum%20xf%5D)
=> 
=>
Answer: the total amount of money that they wanted to raise is $2400
Step-by-step explanation:
Let x represent the total amount of money that Keelan and her friends want to raise.
After the first event they raise $240 which is 10% of the total amount they want to raise. The amount of money that raised after the first event is expressed as
10/100 × x = 0.1 × x = 0.1x
Therefore,
0.1x = 240
Dividing both sides of the equation by 0.1, it becomes
x = 240/0.1
x = $2400
Answer:
y = mx + 1/2
Step-by-step explanation:
(x,y)
- Plot each point on a graph
- The line should go from the bottom left (-6,-10) to the top right (1,4)
- Count how many spaces are on the y-axis from -6 to 1 for numerator
- Count how many spaces are on the x-axis from -10 to 4 for denominator
- Positive slope
- Slope = 7/14
- Simplify to 1/2
Answer:
A: This polynomial has a degree of 2 , so the equation 12x2+5x−2=0 has two or fewer roots.
B: The quadratic equation 12x2+5x−2=0 has two real solutions, x=−2/3 or x=1/4 , and therefore has two real roots.
Step-by-step explanation:
f(x) = 12x^2 + 5x - 2.
Since this is a quadratic equation, or a polynomial of second degree, one can easily conclude that this equation will have at most 2 roots. At most 2 roots mean that the function can have either 2 roots at maximum or less than 2 roots. Therefore, in the A category, 2nd option is the correct answer (This polynomial has a degree of 2 , so the equation 12x^2 + 5x − 2 = 0 has two or fewer roots).
To find the roots of f(x), set f(x) = 0. Therefore:
12x^2 + 5x - 2 = 0. Solving the question using the mid term breaking method shows that 12*2=24. The factors of 24 whose difference is 5 are 8 and 3. Therefore:
12x^2 + 8x - 3x - 2 = 0.
4x(3x + 2) -1(3x+2) = 0.
(4x-1)(3x+2) = 0.
4x-1 = 0 or 3x+2 = 0.
x = 1/4 or x = -2/3.
It can be seen that f(x) has two distinct real roots. Therefore, in the B category, 1st Option is the correct answer (The quadratic equation 12x2+5x−2=0 has two real solutions, x=−2/3 or x=1/4 , and therefore has two real roots)!!!
