Match each expression to another expression with the same value. 24 ÷ 3 53 × 7 56 − 21 4 − 3 40 × 2 8 × 50 8 × (5 × 12 − 10) (8
1 answer:
Answer:
a. 24 ÷ 3 = 8 ⇒ i. 8 × 3 ÷ (6 − 3) = 8
b. 53 × 7 = 371 ⇒ h. (8 × 7 − 3) × 7 = 371
g. 8 × (5 × 12 − 10) = 400 ⇒ f. 8 × 50 = 400
Step-by-step explanation:
Given:
We have to match the equivalent expressions:
a. 24 ÷ 3 f. 8 × 50
b. 53 × 7 g. 8 × (5 × 12 − 10)
c. 56 − 21 h. (8 × 7 − 3) × 7
d. 4 − 3 i. 8 × 3 ÷ (6 − 3)
e. 40 × 2
Solution:
a. 24 ÷ 3 = 8
b. 53 × 7 = 371
c. 56 − 21 = 35
d. 4 − 3 = 1
e. 40 × 2 =80
f. 8 × 50 = 400
g. 8 × (5 × 12 − 10) <em>Using PEMDAS rule.</em>
⇒
⇒
⇒
h. (8 × 7 − 3) × 7
⇒
⇒
⇒
i. 8 × 3 ÷ (6 − 3) = 8
⇒
⇒
⇒
Answers:
a. 24 ÷ 3 = 8 ⇒ i. 8 × 3 ÷ (6 − 3) = 8
b. 53 × 7 = 371 ⇒ h. (8 × 7 − 3) × 7 = 371
g. 8 × (5 × 12 − 10) = 400 ⇒ f. 8 × 50 = 400
c,d and e didn't have any match
a is equivalent to i,b equivalent to h and g is equivalent to f.
You might be interested in
Answer:
Step-by-step explanation:
Previous concepts
Normal distribution, is a "probability distribution that is symmetric about the mean, showing that data near the mean are more frequent in occurrence than data far from the mean".
The Z-score is "a numerical measurement used in statistics of a value's relationship to the mean (average) of a group of values, measured in terms of standard deviations from the mean".
Solution to the problem
Let X the random variable that represent the grade points avergae of a population, and for this case we know the following properties
Where and
The empirical rule, also referred to as the three-sigma rule or 68-95-99.7 rule, is a statistical rule which states that for a normal distribution, almost all data falls within three standard deviations (denoted by σ) of the mean (denoted by µ). Broken down, the empirical rule shows that 68% falls within the first standard deviation (µ ± σ), 95% within the first two standard deviations (µ ± 2σ), and 99.7% within the first three standard deviations (µ ± 3σ).
So we can find the z score for the value of X=3.44 in order to see how many deviations above or belowe we are from the mean like this:
So the value of 3.44 is 2 deviations above from the mean, so then we know that the percentage between two deviations from the mean is 95% and on each tail we need to have (100-95)/2 = 2.5% , because the distribution is symmetrical, so based on this we can conclude that: