Which pair shows equivalent expressions?
A.2(2/5x + 2)=2 2/5x + 1
B.2(2/5x + 2)=4/5x + 4
C.2(2/5x + 4)=4/5x + 2
D.2(2/5x + 4)=2 2/5x + 8
Solution:
Let us distribute 2 inside the parenthesis.
That is, we use distributive property:
a(b+c)=ab+ac
So,
Answer:Option (b)
Applying distributive property, a(b+c)=ab+ac
So, Option (B) is correct.
Answer:
0.1894 = 18.94% probability that there will be fewer than 69 broken pretzels in a run.
Step-by-step explanation:
Normal Probability Distribution:
Problems of normal distributions can be solved using the z-score formula.
In a set with mean and standard deviation , the z-score of a measure X is given by:
The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the p-value, we get the probability that the value of the measure is greater than X.
A pretzel company calculated that there is a mean of 73.5 broken pretzels in each production run with a standard deviation of 5.1.
This means that
Find the probability that there will be fewer than 69 broken pretzels in a run.
This is the p-value of Z when X = 69.
has a p-value of 0.1894
0.1894 = 18.94% probability that there will be fewer than 69 broken pretzels in a run.
(1+R) to the power of n = A/P
(1+R) to the power of 4 = 3238.17/2600
(1+R) to the power of 4 = 1.245
(1+R) = 4 root 1.245
1+r = 1.05631
R = 0.05631
The interest rate percentage is 5.63% (2dp)
Answer: 9^-8
Step-by-step explanation:
To get single positive exponent,
9^-5 / 9^3
Since the exponent is same
So we can solve the coefficient like this
9^-5-3
So
9^-8