The z-score is the number of a data value that represents how many standard deviation is it from the mean. It is calculated from the ratio of the difference of a data value and the population mean and the standard deviation of the data set. Having a z-score of zero would mean that the value is the same as the mean. A z-score that is greater than 1 would mean that the value is x standard deviation greater than the mean. If for a certain data, a z-score of positive 2.5 is calculated, then it means that the data is 2.5 standard deviations away and above from the mean of the whole set. In a normal
Answer:
12 sandwiches
Step-by-step explanation:
Make a proportion
He can make 6 sandwiches with 3 tomatoes, and x sandwiches with 6 tomatoes
6/3=x/6
Multiply both sides by 6 to isolate the variable, x
6*6/3=x/6*6
12=x
So, with 6 tomatoes, he can make 12 sandwiches
The triangle is drawn and is shown in the image attached with.
We get two similar triangles. Triangle ABC and Triangle ADE. Since the triangles are similar the ratio of their corresponding sides will be the same.
D and E are the midpoints of AB and BC, therefore, AD and AE are both 4 units in length. Using the property of similar triangles, we can say:
AD : DE= AB : BC
AD = 4 units
AB = 8 units
BC = 6 units
DE = unknown = x units
So,
![4 :x = 8 : 6 \\ \\ \frac{4}{x} = \frac{8}{6} \\ \\ x=4* \frac{6}{8}=3 ](https://tex.z-dn.net/?f=4%20%3Ax%20%3D%208%20%3A%206%20%5C%5C%20%20%5C%5C%20%0A%20%5Cfrac%7B4%7D%7Bx%7D%20%3D%20%5Cfrac%7B8%7D%7B6%7D%20%20%5C%5C%20%20%5C%5C%20%0Ax%3D4%2A%20%5Cfrac%7B6%7D%7B8%7D%3D3%20%0A)
Therefore,
the length of DE will be 3 units
Answer:
16m
Step-by-step explanation:
Separate the rectangle from the triangle. The area of the rectange is <u>10m</u>. We know this because <em>l x w</em> (2m x 5m).
Now for the triangle;
The area of a triangle is <em>b x h / 2. </em>We take the full height of the figure and subtract 5 from it giving us 3 which is our height for the triangle. We then see that 2m is on the bottom and we add that 2m to the two separate 1m giving us 4m in total.
Now that we have the base and height of the triangle we plug in giving us 6m. Finally we add both the areas; 10m + 6m = <u>16m</u>.
Answer:
1233
Step-by-step explanation:
Divide the total number by 2 because it's half