Answer:
Step-by-step explanation:
-0.25
-1/3
1/4
0.3
Answer:
Step-by-step explanation:
we are given surface area and the length of the square base
we want to figure out the Volume
to do so
we need to figure out slant length first
recall the formula of surface area
where B stands for Base area
and P for Base Parimeter
so
now we need our algebraic skills to figure out s
simplify parentheses:
reduce fraction:
simplify multiplication:
cancel 64 from both sides;
divide both sides by 16:
now we'll use Pythagoras theorem to figure out height
according to the theorem
substitute the value of l and s:
simplify parentheses:
simplify squares:
cancel 16 from both sides:
square root both sides:
recall the formula of a square pyramid
where A stands for Base area (l²)
substitute the value of h and l:
simplify multiplication:
reduce fraction:
hence,
Answer:
C
Step-by-step explanation:
Firstly, we set up the null and alternative hypothesis as follows;
The null hypothesis is;
H0: μ ≥ 12
The alternative hypothesis is;
Ha : μ < 12
Next step is to calculate the test statistic z
Mathematically;
z = (x - μ )/ σ /√n
= (11.58 - 12) /1.93/√(80
Test statistic z = -1.92
Now we proceed to find the probability value that is equal to the value of the test statistic. We can find this by using the standard normal table or NORMSTD function on excel
P(z < -1.92) = 0.0274
P-value = 0.0274
alpha = 0.05
From the above, we can see that
P-value < alpha
And because of this, we are going to reject the null hypothesis and therefore accept the alternative.
We then conclude that there is sufficient evidence to conclude that "The average battery life (between charges) of this model of tablet is at least 12 hours."
Hello,
Let's a and b the 2 angles.
a+b=180 (1)
a=b/3+8 ==> 3a-b=24 (2)
(1)+(2)==>4a=204==>a=51(°) and b=180-51=129(°)
Proof:
129/3+8=43+8=51
129+51=180
The center of 400z is the pair of y
