Answer:
AD = 5 units
Step-by-step explanation:
Given:
Perimeter = 18 units
BC = 4 units
CD = 3 units
Required:
Length of segment AD
Solution:
Perimeter = AB + BC + CD + AD
We can easily find AB,
AB = 6 units (distance from A to B)
Plug in the values
18 = 6 + 4 + 3 + AD
18 = 13 + AD
Subtract 13 from each side
18 - 13 = 13 + AD - 13
5 = AD
AD = 5 units
Answer:
Total earning in the summer = $1440
Step-by-step explanation:
Earning per hour for Samuel = $7.50
No. of hours worked in a day = 6
Earning for a day = Earning per hour for Samuel *No. of hours worked in a day
Earning for a day = $7.50 *6 = $45
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No of days worked in a week by Samuel = 4
Earning for week = Earning for a day *No of days worked in a week by Samuel
Earning for week = $45*4 = $180
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No. of weeks worked in summer = 8
Total earning in the summer = Earning for week *No. of weeks worked in summer
Total earning in the summer = $180*8 = $1440 (Answer)
Answer:
A
Step-by-step explanation:
When an expression is reflected across the x-axis, the x values stay the same but the y values are now negative.
Answer:
$20.84
Step-by-step explanation:
To solve the above question, we would be using the z score formula
The formula for calculating a z-score :
z = (x - μ)/σ,
where x is the raw score
μ is the population mean
σ is the population standard deviation
x = unknown
μ = $17.90
σ = $1.50
We were not given z score in the above question but this can be determined.
We are told in the question to find the amount that the highest 2.5% of the employees hourly wages is greater than.
Hence, our confidence interval = 100 - 2.5 = 97.5%
The z score for 97.5% = 1.96
Below are inequalities equations with more explanation.
P(X ≥ x) = 2.5% = 0.025
P(X ≤ x) = 1 - 0.025 = 0.975
P (X - μ)/σ ≤ (x - μ)/σ) = 0.975
z ≤ (x - μ)/σ = 0.975
z ≤ 1.96 = 0.975
z = (x - μ)/σ,
1.96 = x - 17.90/1.5
Cross Multiply
1.96 × 1.5 = x - 17.90
x = (1.96 × 1.5) + 17.90
x = 2.94 + 17.90
x = 20.84
Therefore, the amount that the highest 2.5% of the employees hourly wages is greater than is $20.84
Answer:
4.5 (4.5 units to the left of 0) Make sure to draw a solid dot over 4.5 and an arrow pointing in the right direction.
>= is the greater than or equal to symbol
Step-by-step explanation
1. Combine like terms- In this problem, the like terms are 1/2 and -3/4, so to move 1/2 over to the other side of the equation, we have to divide each side by 2/1, which is the same as multiplying each side by 2: -1/3x + 1/2 * 2 >= -3/4 * 2.
2. Separate the fraction from x- Now, we simply divide each side by -3/1, which is the same as multiplying each side as -3: -1/3x * -3 >= -3/2 * -3
3. Graph on the number line- We've found that x = 4.5. To check, substitute in 4.5 for the value of x: -1/3(4.5) + 1/2 >= -3/4. -1 >= -3/4 is a true inequality. To graph it on the number line, draw a solid dot over 4.5 and an arrow in the direction of the righthand side.
