Answer:
1/1000
Step-by-step explanation:
Answer: the height of the trapezoid is 6 cm
Step-by-step explanation:
The formula for determining the area of a trapezoid is expressed as
Area = 1/2(a + b)h
Where
a and b are the length of The bases are the 2 sides of the trapezoid which are parallel with one another.
h represents the height of the trapezoid.
From the information given,
a = 6 cm
b = 8.5 cm
If the area of the cut out is 43.5 cm², then
53.5 = 1/2(6 + 8.5)h
Cross multiplying by 2, it becomes
43.5 × 2 = (6 + 8.5)h
87 = 14.5h
h = 87/14.5 = 6 cm
Answer:
A political strategist wants to test the claim that the percentage of residents who favor construction is more than 30%, so then that represent our claim and needs to be on the alternative hypothesis.
Based on this the correct system of hypothesis are:
Null hypothesis: 
Alternative hypothesis 
Step-by-step explanation:
We have the following info given from the problem:
the random sample of voters selected from the town
represent the proportion of residents favored construction
represent the value desired to test.
A political strategist wants to test the claim that the percentage of residents who favor construction is more than 30%, so then that represent our claim and needs to be on the alternative hypothesis.
Based on this the correct system of hypothesis are:
Null hypothesis:
Alternative hypothesis
And in order to test this hypothesis we can use a one sample z test for a population proportion and the statistic would be given by:
(1)
And with the data given we have:
Answer:
744 in³
Step-by-step explanation:
Since you are filling the larger box with both rectangular prism and Styrofoam peanuts, you need to find the overall volume of the larger box and subtract the volume of the glass box to find the amount of space that the Styrofoam peanuts need to take up.
Volume (prism) = Bh, where B = area of the base, h = height
Larger Box: V = 10 x 10 x 15 = 1500 in³
Glass Box: V = 7 x 9 x 12 = 756 in³
1500 - 756 = 744 in³ of Styrofoam peanuts
Answer:
if they all have the same angle they r congruent
Step-by-step explanation:
