Answer:
a level of significance of 0.01 = 1%
Step-by-step explanation:
given
Z = 0.0001
mean μ=0.21 g/mi
variate x= 0.21 + 0.03
standard deviation σ= 0.05 g/mi.
N = sample population 20 cars
z = (x −μ
)/[σ
/√N ]
Z =
Z = 0.03/ (0.05/√20) = 0.03/0.0111
Z = 2.63 +- 0.0001
Z= 2.6301 or 2.6299
checking the level of significance table from a statistical book gives
a level of significance of 0.01 = 1%
therefore the null hypothesis is accepted.
Answer:
Solution given:
Volume of cuboid=975cm³
length[l]=15cm
width[w]=130mm=13cm
height [h]=?
we have:
Volume of cuboid=l*w*h
975=15*13*h
h=
<u>T</u><u>h</u><u>e</u><u> </u><u>h</u><u>e</u><u>i</u><u>g</u><u>h</u><u>t</u><u> </u><u>o</u><u>f</u><u> </u><u>t</u><u>h</u><u>e</u><u> </u><u>c</u><u>u</u><u>b</u><u>o</u><u>i</u><u>d</u><u> </u><u>i</u><u>s</u><u> </u><u>5</u><u>c</u><u>m</u><u>.</u>
24,872.67/8 = 3109.08375
Because you are rounding to the nearest dollar the answer would be $3,109/month.
The domain is the x values we can use
range is the y values or f(x) we get from the domain
end behavior is what happens at the ends of the graph
domain seems to be all real numbers since the arrows go infinity and there aren't any discontinuities
inequality would be -∞<x<∞
set notation would be
interval notation would be
the range is only from 0 and up
inequality would be f(x)≥0 since it seems to approach 0, it might be f(x)>0 tho
set notation would be
interval notation would be
end behavior
as x approaches infinity, y approaches infinity
ax a approaches negative infinity, y approaches negative infinity
Answer:
The student took 2.5 minutes to paint 1 square foot.
Step-by-step explanation:
In order to know how long the student took to paint each square foot we first need to know the total area of the bulletin board. Since it is a rectangle we can compute it's area by multiplying the width and the height. That is:
area = 2*3 = 6 square foot
Since the student took 15 minutes to paint the whole board the pace at which he was working can be calculated by dividing the total area of the board by the time he took to paint all of it. So we have:
pace = 6/15 = 0.4 foot/min
To find how long it took him to paint 1 square foot we can divide it by the pace he was painting. We have:
time = 1/0.4 = 2.5 minutes
The student took 2.5 minutes to paint 1 square foot.