Answer:
Fr^2/Gm_2=m_1
Step-by-step explanation:
What you do first is you have to cross-multiply so f*r^2 and 1*gm_1m_2 to get
Fr^2=Gm_1m_2. Next you will divide Gm_2 from both sides to get
Fr^2/Gm_2=m_1 as your answer.
Answer:
x is greater than or equal to 19
Answer:
<h2>Q = -6</h2>
Step-by-step explanation:
If the solution of the system of equations is {(x, y): x - y = 4} - infinitely many solutions, then this system is consistent and dependent.
x - 3y = 4 <em>multiply both sides by 2</em>
2x - 6y = 8
Therefore Q = -6
<u><em>Answer:</em></u>
The bird will have traveled 403 meters in 13 seconds if it maintained a speed of 31 m/sec
<u><em>Explanation:</em></u>
<u>The equation that relates velocity, distance and time is:</u>
<u>This means that:</u>
distance = velocity * time
<u>In the given, we have:</u>
velocity = 31 m/sec
time = 13 sec
<u>Substitute with the givens in the above equation and solve for the distance as follows:</u>
distance = velocity * time
distance = 31 * 13
distance = 403 meters
Hope this helps :)
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."
