Answer:
Volume = 100 cm³
Surface area of the square pyramid = 145 cm²
Step-by-step explanation:
Given:
Perpendicular height = 12cm
Square length = 5cm
Find:
Volume
Surface area of the square pyramid
Computation:
Area of base = side²
Area of base = 5²
Area of base = 25 cm²
Volume = (1/3)(A)(h)
Volume = (1/3)(25)(12)
Volume = 100 cm³
Surface area of the square pyramid = A + 1/2(P)(h)
Perimeter square pyramid = 4(s)
Perimeter square pyramid = 4(5)
Perimeter square pyramid = 20 cm
Surface area of the square pyramid = 25 + 1/2(20)(12)
Surface area of the square pyramid = 145 cm²
Answer : The 5th day = 3 Celsius
Explanation:
the average of the first 4 day is 8
Which mean the combine temp on the first 4 day is 8 x 4 = 32
Now on the first 5 day the average temp is 7
Then the combine temp on the first 5 day is 7 x 5 = 35
Find the 5th day
4 days combine temp + 5th day = the combine temp of 5 days
32 + 5th day = 35
5th day = 35-32
5th day temp = 3C
Answer:
Mean SAT score for Stevens High graduates are not the same as the national average.
Step-by-step explanation:
We are given the following information in question:
Population mean, μ = 510
Sample mean, 
= 501
Sample size, n = 50
Alpha, α = 0.10
Sample standard deviation, s = 30
First, we design the null and the alternate hypothesis
We use Two-tailed t test to perform this hypothesis.
Formula:
Putting all the values, we have,
Now,
Since,
We reject the null hypothesis and fail to accept it.
We accept the alternate hypothesis and mean SAT score for Stevens High graduates are not the same as the national average.
Answer:
Option c
Step-by-step explanation:
given that limit x tending to 4 of the function (3x-4) is 8
This implies for all values of x such that for epsilon >0 arbitrary small ,
, we get
|f(x)-8|<3epsilon
this is equivalent to the option c.
Proof:
Consider
Hence it follows that option C is right.
Answer:
0.0492
Step-by-step explanation:
Based on the tree diagram we need to tell the the probability that the test for lice returns a false positive. False positive means that the student has no lice but still the test shows a positive result.
So for this we have to first look for the branch, from the starting node, which shows that student has no lice. From the starting point, the upper branch represents the students that have lice and lower branch represents the students who have no lice. So, we will consider the lower branch with probability mentioned as 0.82
Now, the lower branch is divided into two branches further. We have to look for the branch which shows positive test result. This would be the upper branch with probability mentioned as 0.06.
The overall probability of this event is mentioned at the end of the branch which is 0.0492
This is the probability of the combined event: Student has no lice but tests shows positive result which is the False positive.
Thus, the probability that the test for lice returns a false positive is 0.0492
