Answer:
Step-by-step explanation:
It is necessary to isolate the term of x from one side of an inequality to find its solution.
<h3>-4x-8>-20</h3>
<u>First, add by 8 from both sides.</u>
<u>Solve.</u>
-20+8=-12
<u>Rewrite the problem down.</u>
<u>Multiply by -1 from both sides.</u>
(-4x)(-1)<(-12)(-1)
<u>Solve.</u>
<u>Multiply the numbers from left to right.</u>
(-12)(-1)=12
4x<12
<u>Divide by 4 from both sides.</u>
4x/4<12/4
<u>Solve.</u>
<u>Divide the numbers from left to right.</u>
12/4=3
<u>x<3</u>
- <u>Therefore, the correct answer is D. x<3 (last option).</u>
I hope this helps you! Let me know if my answer is wrong or not.
Answer:
coin flip is 1/2
2 numbers are less than 3 so 2/6 = 1/3
1/2 x 1/3 = 1/6 probability total
240 x 1/6 = 40
answer is C) 40
Step-by-step explanation:
The Cartesian equivalent of the polar coordinates (r, theta) is
(r cos t, r sin t), where t = theta.
So, (2, 3pi/4) becomes
(2 cos(3pi/4), 2 sin(3pi/4))
(2 • -sqrt{2}/2, 2 • sqrt{2}/2)
Answer: (-sqrt{2}, sqrt{2})
Done.
Note: sqrt = square root for short.
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."
