We have to define an interval about the mean that contains 75% of the values. This means half of the values will lie above the mean and half of the values lie below the mean.
So, 37.5% of the values will lie above the mean and 37.5% of the values lie below the mean.
In a Z-table, mean is located at the center of the data. So the position of the mean is at 50% of the data. So the position of point 37.5% above the mean will be located at 50 + 37.5 = 87.5% of the overall data
Similarly position of the point 37.5% below the mean will be located at
50 - 37.5% = 12.5% of the overall data
From the z table, we can find the z value for both these points. 12.5% converted to z score is -1.15 and 87.5% converted to z score is 1.15.
Using these z scores, we can find the values which contain 75% of the values about the mean.
z score of -1.15 means 1.15 standard deviations below the mean. So this value comes out to be:
150 - 1.15(25) = 121.25
z score of 1.15 means 1.15 standard deviations above the mean. So this value comes out to be:
150 + 1.15(25) = 178.75
So, the interval from 121.25 to 178.75 contains the 75% of the data values.
so... if you notice, the vertex is at h,k and that'd be the origin, 0,0
so...since the directrix is "p" units from the vertex, so it'd be 2 units from 0,0
now, the parabola has an equation with a positive leading term's coefficient, namely the 1/8 is positive, thus, the parabola is opening upwards, and the directrix is "outside" the parabola, so is below the vertex
that puts the directrix 2 units below 0,0
y = -2
Answer:
The average weight of the chipmunks is 91 grams
Step-by-step explanation:
The mean of a dataset gives the average which is obtained by taking the sun of each data value and dividing by the number of samples. The median however requires the arrangement of data in terms of size ze (ascending) and taking the mid value (value which falls in the 50% mark). For the data above, the most appropriate measure of the average is the mean. Hence, the prediction which matches the data is ; The average weight of the chipmunks is 91 grams.
Answer:
B.alternative hypothesis
Step-by-step explanation:
In this case, the null hypothesis is that 45% of internet providers currently offer fiber optic internet in the United States.
The claim that the proportion of fiber optic internet providers is different from 45% is an alternative hypothesis since it directly contradicts the null hypothesis presented.
The answer is B. alternative hypothesis
Answer: 2x-y=15
Step-by-step explanation: can u be more detailin
