Answer – C. the sample size 16 is too small
If we toss a coin 16 times in order to test the hypothesis
H0: p = 0.5 that the coin is balanced, we can't use the z-test for a proportion
in the situations because the sample size 16 is too small. The z-test is best
used when the sample size is greater than 30; when the sample size is less than
30, t-test is more appropriate.
Let
x = the number of tapers (each coss $1)
y = the number of pillars (each costs $4)
z = the number of jars (each costs $6)
There are 8 candles in each basket, therefore
x + y + z = 8 (1)
The cost per basket is $24, therefore
x + 4y + 6z = 24 (2)
The number of tapers equals the sum of pillars and jars, therefore
x = y + z (3)
Substitute (3) into (1) and into (2).
y + z + y + z = 8
2y + 2z = 8
y + z = 4 (4)
y + z + 4y + 6z = 24
5y + 7z = 24 (5)
From (4), y = 4 -z. Substitute into (5).
5(4 - z) + 7z = 24
2z + 20 = 24
2z = 4
z = 2
y = 4 - z = 4 - 2 = 2
x = y + z = 2 + 2 = 4
Answer: 4 tapers, 2 pillars, 2 jars.
Step-by-step explanation:
25x = 1252 - x
We know that in order to solve this equation, we have to move all the x terms to one side and all of the coefficients to the other. So, if we add x to both sides, we get 26x = 1252.
Then, we can divide both sides of the equation by 26 to solve for x, so x≅48.15 or x = 48.153846 repeating.
Let us assume that the total number of shares (also called the total holdings) held by Live Fund in Marks Brothers is
.
Then obviously half the holdings (or half the number of shares) of Live Fund will be
.
Thus, if each share is valued at $5000, then the total value of the number of shares sold (which is
will be:
dollars or $
.
Thus, Live Fund will receive $
if they sold half their holding in Marks Brothers.
Answer:
9
Step-by-step explanation:
X MULTIPLIED BY 3 EQUALS 9 SINCE X=3