To find the z-score for a weight of 196 oz., use
A table for the cumulative distribution function for the normal distribution (see picture) gives the area 0.9772 BELOW the z-score z = 2. Carl is wondering about the percentage of boxes with weights ABOVE z = 2. The total area under the normal curve is 1, so subtract .9772 from 1.0000.
1.0000 - .9772 = 0.0228, so about 2.3% of the boxes will weigh more than 196 oz.
"Undefined" slope means the line on the graph is vertical, and that
tells the whole story right there. The 'x' coordinate is the same for
every point on the line. If (6, -1) is a point on the line, then you know
that the x-value of EVERY point on it is 6 .
It's a vertical line that intersects the x-axis at x=6, and the equation
of the line is x=6 .
Answer:
The null hypothesis would say that class size has no effect on students learning.
Step-by-step explanation:
Null hypothesis is a type of hypothesis that is used in statistics which proposes that there is no difference between a certain characteristic of a population or the data - generating process.
Now, in this question,the school district is considering increasing class size in the elementary schools but we want to check whether larger classes may have a negative effect on students learning.
Thus, the null hypothesis would reject this claim of larger classes having negative effect on students and say that class size has no effect on students learning.
Answer:
32
Step-by-step explanation:
Area of a big right triangle = 1/2 * 4 * (2+2+6) = 1/2 * 4 *10 =20
Area of a left right triangle = 1/2* 2*2 = 2
Area of a right right triangle = 1/2 * 6*2 =6
Area of a square = 2*2 = 4
All together:
20+ 2+6+4 =32
Answer:
The coordinates of the midpoints are the average coordinates of the endpoints. Suppose (x1,y1) and (x2,y2) are the endpoints and (xm,ym) is the midpoint, we have xm=x1+x22 and ym=y1+y22 . Therefore, 2xm=x1+x2 and 2ym=y1+y2 . From there, we should be able to figure the other endpoint out given an endpoint and the midpoint.
