Answer:
The length of the shorter piece is 
.
The length of the longer piece is 
.
Step-by-step explanation:
The five-step method is GUESS method.
Given:
Length of steel beam, 
Length of longer piece is 1 foot longer than twice the shorter one.
Unknown:
Length of longer and shorter pieces of beam.
Let the length of shorter piece be 
feet.
Therefore, the length of longer beam is equal to 
Evaluate:
Sum of lengths of longer and shorter pieces of beam is equal to the total length of beam. So,
Substitute and Solve:
Now, we have, 
.
Substitute 5 for for the lengths of shorter and longer pieces and solve for each. This gives,
Length of shorter piece = 
Length of longer piece = 
Therefore, the lengths of shorter and longer pieces are and respectively.
The missing choices are:
A. z-score = 92 - 83
B. z-score = (92 - 83)/5
C. z-score = 83 - 92
D. z-score = (92 - 83)/92
The expression she would write to find z-score is z-score = 
⇒ B
Step-by-step explanation:
The rule of z-score is z = (x -μ)/σ, where
- x is the score
- μ is the mean
- σ is the standard deviation
The scores of an eighth-grade math test have a normal distribution
∵ The mean is 83
∴ μ = 83
∵ The standard deviation is 5
∴ σ = 5
∵ Din’s test score was 92
∴ x = 92
- Substitute all of these values in the formula of z-score
∴ z-score =
The expression she would write to find z-score is z-score =
Learn more:
You can learn more about z-score in brainly.com/question/7207785
#LearnwithBrainly
Answer:
Your answer choices are correct
Step-by-step explanation:
Mark me brainliest pls
Answer: 36%
Step-by-step explanation:
Since the price last week, was 4 boxes for $5. Therefore, the price per box will be:
= $5/4
= $1.25 per box
This week they mark a new price at 5 boxes for $4. The price per box will be:
= $4/5
= $0.8 per box
The percent decrease in the price per box this week will be:
= (1.25 - 0.80)/1.25 × 100
= 0.45/1.25 × 100
= 36%
The Percentage decrease is 36%
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