Can you help me with my question please?
Answer (C) 50 degrees
Steps: please check the attached image for details
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."
To complete the table, just use the given equation to solve for the corresponding values of y. and i think the formula is wrong, it should be
y = <span>25,000 • 0.95^x</span>
at x = 1
<span>a0 = y = 25,000 • 0.95^x
</span>a0 = <span>25,000 • 0.95^(1)
a0 = 23750.00
at x = 2
a1 = </span>y = <span>25,000 • 0.95^x
a1 </span>= <span>25,000 • 0.95^( 2 )
a1 = 22562.50
at x = 3
a2 = </span>y = <span>25,000 • 0.95^x
a2 = </span> <span>25,000 • 0.95^( 3 )
a2 = 21434.38
</span>
To find the volume,we would first need to find the height of square pyramid, by it's base edge and slant height using Pythagoras theorem:
We can then use the pyramid formula to find the volume:
In this case,the volume will be:
10×_/69×1/3
=27.68874...
≈27.7 units^3
Hope it helps!
