D
An acute angle is less than 90 degrees
Answer:
D) 36 bottles for $4 by 1.4¢ per bottle
Step-by-step explanation:
We calculate bottle per dollar for each option.
#A
Bottles/Dollar=
bottles/dollar
#Both B and C charges the same as A and will have bottle/dollar ration of 8:1
#D
Hence, D is the better buy as it gives you 9bottles per $1 spent as compared to the 8 bottles per $1 spent as in the other 3 options.
Sh would have 20 pennies because for every 5 pennies there 4 quarters so , if she has 16 quarters she would have 20 pennies
simplify the denominator
1/6 + 1 /x+1
common denominator
6(x+1)
1/6 *(x+1)/(x+1) = (x+1)/6(x+1)
1/(x+1) * 6/6 = 6/(6(x+1))
(x+1)/6(x+1) + 6/(6(x+1))= (6+ (x+1))/(6(x+1)) = (7+x)/(6*(x+1))
then
5/ (7+x)/(6*(x+1))
copy dot flip
5 * (6*(x+1))/(7+x) =30 * (x+1)/(7+x)
Answer : 30 * (x+1)/ (x+7)
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."
