Answer:
z score for officer1 is 1, he will be promoted.
z score for officer2 is 0.33, she will not be promoted.
Step-by-step explanation:
Officer 1 get 74 points. O1=74
Officer 2 get 68 points. O2=68
Mean of the exam is 65 and standart deviation is 9 . M=65 and s=9
1) z-score for O1 can be found using the formula:
=1
2) z-score of O2 is
=0.33
Promotion is gained if an officer (O), scores higher than 80% of the officers taking the exam. This means they need to be at least in the top 20% of the exam. Therefore we look for the corresponding z score for the P(z)=0.2 which is 0.8416. Since z-score of O1 is bigger that 0.8416, he promotes. Officer2 who got 68 from the exam cannot promote since corresponding z-score is less than 0.8416
Answer: $500
<u>Step-by-step explanation:</u>
A sells to B at a profit of 10%: 1.10A = B
B sells to C for $577.50 at a profit of 5%: 1.05B = 577.50
Substitute B with 1.10A in the second equation:
1.05(1.10A) = 577.50
1.155A = 577.50
A = 500
<span>The answer is x ≥ -2. First use distributive property to simplify the left side of inequality: 2(3x – 1) ≥ 4x – 6. 2 * 3x - 2 * 1 ≥ 4x - 6. 6x - 2 ≥ 4x - 6. Rearrange it to get x on the one side and integers on the other side of inequality: 6x - 4x ≥ 2 - 6. Solve for x: 2x ≥ -4. x ≥ -4/2. x ≥ -2.Hope this helps. Let me know if you need additional help!</span>
Answer
16π cm ≈ 50.2655 cm
Step-by-step explanation
To find the circumference of a circle, we can use the equation C = 2πr.
C stands for the circumference while r stands for the radius. We can see that there is a proportional positive linear relationship between radius and circumference for all circles, and that to find circumference when we have a radius value, we multiply the radius value by 2π.
The value of π, also called pi, is a constant and is the ratio of a circle's circumference to its diameter (the diameter is twice the radius, hence the 2 in the equation). Note that π is a constant and applies to all circles because all circles are similar.
Since we know the value of r, or the radius, given as 8 cm in the question, we can plug this value into the equation C = 2πr from earlier.
C = 2πr (plug in 8 cm for the radius)
C = 2π * 8
C = 16π cm
Since the radius is in units of cm (centimeters), the circumference is also in units of cm (centimeters).
16π cm is the exact value of the circumference. However, if we want this circumference in decimal form, we would multiply 16 by the decimal form of π which is approximately 3.1416. Note that π actually has an infinite amount of decimals and that this 3.1416 is actually a rounded π value
C = 16π
C ≈ 16 * 3.1416
C ≈ 50.2655 cm rounded to four decimal places
Step-by-step explanation:
17+7x=x+5
6x=-12
x=-2
Hope it helps you
