Answer:
76
Step-by-step explanation:
The first step is finding the height of the cake. The formula for the volume of a box: Volume= length x width x height. So given the volume and length and width: 100= 9 x 11 x h. 100=99h and solve for h. h= 1.01 inches so the batter is more than one inch thick. That means that the matter needs to be baked at 350 degrees Fahrenheit. The formula to convert from Fahrenheit to Celsius: T(C)= (T(F)-32) x (5/9). So (350-32) x (5/9) = 176.667. Rounded to the nearest whole number is 177 degrees celsius.
To find slope, use the form y1 - y2/x1 - x2. Using these points, that would look like:
-7 - 5/-1 - 1 or -12/-2, which simplifies to 6.
The slope is 6. Hope this helps with slope.
What is the outlier in the following data set:<br>
15,11,10,8,9,1,8,7,5,4,2,3, and 37?
NeTakaya
Step-by-step explanation:
The steps to find an outlier:
1. Put the data in numerical order.
2. Find the median.
3. Find the medians for the top and bottom parts of the data. This divides the data into 4 equal parts.
The median with the smallest value is called Q1. The median for all the values - usually just called the median is also called Q2. The median with the largest value is Q3.
4. Subtract...Q3 - Q1. This value is the InterQuartileRange or IQR. Remember that the range means taking the largest minus the smallest. This is a special range having to do with the quartiles.
5. Multiply...1.5 * IQR
6. Take your answer from #5 and do 2 things with it. A). Subtract it from Q1 and B) Additional to Q3.
7. Look at all your data points. If any are SMALLER than Q1 - 1.5 *IQR, they are outliers. If any are LARGER than Q3 + 1.5 *IQR, they are also outliers.
For your data....the median, Q2 is
(43+38)/2 = 40.5.
Q1 = (30+26)/2 = 28.
Q3 = (54+52)/2 = 53
The IQR is 53 - 28 = 25
1.5 * IQR = 37.5
Q1 - 37.5 = 28 - 37.5 = -9.5. There is no data value less than -9.5.
Q3 + 37.5 = 53 + 37.5 = 90.5. there is no data value greater than 90.5.
My conclusion is that there are no outliers in this data.
I hope this helps!
Answer:
m<S = 68 degrees.
m<D = 112 degrees
Step-by-step explanation:
Opposite angles of a parallelogram are equal so:
4x - 4 = 3x + 14
4x - 3x = 14 + 4
x = 18.
So m < S = 4(18) - 4
= 72-4
= 68 degrees.
Angles on the same side of a parallelogram are supplementary, so
m < D = 180 - 68
= 112 degrees.
