- Vertex form: , with (h,k) as the vertex.
For this, we will be using vertex form. Firstly, plug the vertex into the vertex form equation:
Next, we need to solve for a. Plug in (-2,4) into the x and y coordinates to solve for a as such:
Putting our equation together,<u> it's </u>
<u>*Additional section*</u>
- Standard form:
Converting to standard form as such:
Answer: 21
Step-by-step explanation: We can rewrite this problem as:
What is 60% of 35?
"Percent" or "%" means "out of 100" or "per 100", Therefore 60% can be written as 60/100
When dealing with percent's the word "of" means "times" or "to multiply".
Finally, lets call the number of members we are looking for "m".
Putting this altogether we can write this equation and solve for
m
while keeping the equation balanced: m=60/100*35
m=2100/100
m=21
<u><em>Answer:</em></u>
Yung bought 46 pieces of bubble gum for $4.6
<u><em>Explanation:</em></u>
We are given that each piece of gum cost $0.1 and that he spent $4.6 on gums
<u>To get the number of gums he bought, we will simply use cross multiplication as follows:</u>
1 piece .........................> 0.1
x pieces ......................> 4.6
<u>Therefore:</u>
pieces of gum
Hope this helps :)
Step-by-step explanation:
The slope of the line passing through two points is given by,
13)
option D
14)
option C
15)
option B
16)
option C
Answer:
7.57
Step-by-step explanation:
When the distribution is normal, we use the z-score formula.
In a set with mean and standard deviation , the zscore of a measure X is given by:
The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.
The height of sunflowers is Normally distributed with mean 50 inches and standard deviation 8 inches.
This means that
Percent of all sunflowers that are between 35 and 40 inches tall.
As a proportion, this is the pvalue of Z when X = 40 subtracted by the pvalue of Z when X = 35. So
X = 40
has a pvalue of 0.1057
X = 35
has a pvalue of 0.03
0.1057 - 0.03 = 0.0757
As percent: 0.0757*100% = 7.57%