Answer:
Equivalent expressions
A) 
C) 
Step-by-step explanation:
Given expression :
Choices given :
A)
B) 
C)
D) 
To find the equivalent expression.
We will first evaluate the given expression.
⇒ 
[Quotient of a negative dividend and a positive divisor is always negative]
Evaluating each choice to select the equivalents.
A)
⇒ [Quotient of a positive dividend and a negative divisor is always negative]
B)
⇒ 
⇒ 
C)
⇒ 
[Product of a positive and a negative is always a negative]
⇒
D)
⇒ [Product of two negatives is always a positive]
⇒
∴ We see that the choices A and C are equivalent.
Answer: 7
Step-by-step explanation: Imagine having 5 chocolate bars and then adding 2, or you could try counting with your fingers. Another method is writing a number line and going plus 2 from five so you can visualize it more.
Answer: 81 units²
Step-by-step explanation: To solve this problem, remember that the formula for the area of a square is 4s.
Therefore, since the perimeter of the given square is 36, we have 36 = 4s and dividing both sides by 4, 9 = s.
Now, remember that the formula for the area of a square is s² and since the length of a side of the given square is 9, we have (9)² or 81.
So the area of a square that has a perimeter of 36 is 81 units².
Answer:
79.94 / 4 - 5.98 = 14 dollars and 5 cents
Step-by-step explanation:
If the DVDs were the same amount of money and he bought 4 of them and your total is 79.94 dollars you have to divide four from it because the DVDs are the same cost then your going to subtract 5.98 because that is shipping and your trying to find the total of the DVD and you get 14 dollars and 5 cents.
Answer:
The proportion of infants with birth weights between 125 oz and 140 oz is 0.1359 = 13.59%.
Step-by-step explanation:
When the distribution is normal, we use the z-score formula.
In a set with mean 
and standard deviation 
, the zscore 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 pvalue, we get the probability that the value of the measure is greater than X.
In this question, we have that:
The proportion of infants with birth weights between 125 oz and 140 oz is
This is the pvalue of Z when X = 140 subtracted by the pvalue of Z when X = 125. So
X = 140
has a pvalue of 0.9772
X = 125
has a pvalue of 0.8413
0.9772 - 0.8413 = 0.1359
The proportion of infants with birth weights between 125 oz and 140 oz is 0.1359 = 13.59%.
