Answer:
An employee's score in order to qualify for increase in the salary must be higher than 95.45.
Step-by-step explanation:
Let X represent the performance score of employees.
It is provided that X follows a normal distribution with parameters μ = 82.5 and σ - 9.25.
It is provided that the office will increase salary of its top 8% employees on the basis of a performance score the office created for each employee.
That is, the probability to qualify for increase in the salary is,
P (X > x) = 0.08
⇒ P (X < x) = 0.92
⇒ P (Z < z) = 0.92
The corresponding z-value is,
z = 1.40
Compute the value of x as follows:
[tex]z=\frac{x-\mu}{\sigma}\\\\1.40=\frac{x-82.5}{9.25}\\\\x=82.5+(1.40\times 9.25)\\\\x=95.45[/tex]
Thus, an employee's score in order to qualify for increase in the salary must be higher than 95.45.
Solve ab - c= d for a
Answer:
a=(d+c)/b
Step-by-step explanation:
a*b-c=d
a*b=d+c
a=(d+c)/b
Answer:
c+d /b
Step-by-step explanation:
Solve for x.
2x-1+12=6x+3
Answer:
es pepo cumbia
o PVP TU PON LA SALA Y YO LA HUMILLACIÓN
Answer:
2x-1+12=6x+3
X = 2
Explain:
2x-1+12=6x+3
2x+11+6x+3
( 2x+11 )+(-11-6x)=(6x + 3) + (-11 - 6x)
so that means
X=2
What is Five less than twice a number
2w - 5
or 5 - 2w
2w - 5
This is the right expression
What is the area of a triangle with vertices at (-3,3), (2, 3), and (4,7)?
5 square units
10 square units
20 square units
40 square units
Answer:
Choice B
Step-by-step explanation:
The area of the triangle is 10 square units, the correct option is B.
What is a Triangle?A triangle is a polygon with three sides, angles, and vertices.
The triangle is classified into various types on the basis of the angle and on the basis of equality of the length of the sides.
The vertices of the triangle are at:
(-3,3), (2, 3), and (4,7).
The area of the triangle has to be determined.
The length of the sides will be calculated using the distance formula.
side 1 = [tex]\rm \sqrt { (3-3)^2 + ( 2 +3)^2}[/tex] = 5 units
side 2 = 2√5 units
side 3 = √65 units
The height of the triangle is determined by calculating the distance from (4, 7) to (4, 3).
The height of the triangle = 4 units
The area of a triangle is given by,
A = (1/2) * base * height
A = (1/2) * 5 * 4
A = 10 square units
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A farm stand sells oranges in 3-lb bags for $3.75. What equation represents the cost, c, for p pounds of oranges? Think: how much will 1-lb of oranges cost?
A c = 1.25p B p = 1.25c
C c = 3.75p D p = 3.75c
Answer:
A
Step-by-step explanation:
It’s not B, because it’s saying each pound is 1.25 multiplied by the cost. We are looking for the cost, not the amount of pounds.
it isn’t C, because the oranges are sold in 3 pound bags, and the equation is comparing the cost of a 3 pound bag to 1 pound of oranges.
And it isn’t D, because D does the same thing as B, but with The cost of a 3 pound bag.
An equation is formed of two equal expressions. The correct option is A, c=1.25p.
What is an equation?An equation is formed when two equal expressions are equated together with the help of an equal sign '='.
Given that the farm stand sells oranges in 3-lb bags for $3.75. Therefore, the cost of the oranges for a pound is,
Cost of a pound of oranges = $3.75 / 3
= $1.25
Now, if the cost,c for p pounds of oranges is,
Cost, c = Cost of a pound of oranges × Number of pounds
= $1.25 × p
c = 1.25p
Hence, the correct option is A, c=1.25p.
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Which number line represents all of the values of x for the equation x^2 = 64? (5 points)
Answer:
8
Step-by-step explanation:
x=8 because if you take the square root of 64 you get 8 so that means 8^2= 64
Answer:
C) I got it right
Step-by-step explanation:
What is the opposite of the reciprocal of –2.4?
2.4 = 24/10 = 12/5
, 2.4 = 12/5 =5/12
Answer:
2.4
Step-by-step explanation:
And if your trying to find the hundredth it would be 0 and 0 is less than 4 so it goes down
What is the largest three-digit number divisible by 5, 6, and 21?
Answer:
840
Step-by-step explanation:
You can divide by 5 and get 168
840/6 = 140
840/21 = 40
Answer:
The largest 3 digit number divisible by 5, 6, & 21 is 840.
Complete the steps to find the value of X
PLZ HELP LOTS OF POINTS!!
Step-by-step explanation:
72° + (7x + 24) = 180
7x + (72 + 24) = 180
7x = 180 - 96
7x = 84 divide both sides by 7
x = 12
Please help! Don't comment if you don't know it. Please.
Answer:
So what are you trying to figure out bc I may be able to help
Solve
9x2-5x = 94x-8
Answer:
x=26262626262626...
Step-by-step explanation:
0.01 is 1/10 of what?
Answer:
0.1
Step-by-step explanation:
multiply 0.01 by 10 and then you get the answer
The number is 0.1.
what is fraction?A fraction is a part of a whole. In arithmetic, the number is expressed as a quotient, in which the numerator is divided by the denominator.
given:
0.01 is 1/10
let the number be x
x of 1/10 = 0.01
x* 1/10= 0.01
x= 0.01*10
x=0.1
Hence, the number is 0.1
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A train goes at a constant speed. If it covers 150 miles in 2 1/2 hours. What distance will he cover in 3 hours?
Answer:
180 Miles?
Step-by-step explanation:
First divide 150 by 2 1/2 (or 2.5)
You'll end up with 60
Then times it by the amount of hours (3)
60 x 3 = 180
I believe this is the answer; if I am wrong, deepest apologies.
I’ll mark you as brainliest if correct!
Answer:
1.
Step-by-step explanation:
Plug -2 in for x for both functions.
[tex]2(-2)^{2} + 4 = 12\\-4(-2) + 3 = 11\\[/tex]
Now, subtract the two functions (f-g) (aka (f(x) - g(x))
12 - 11 = 1
The answer is 1.
Given m||n, find the value of x.
1580
70
Answer:
x=22
Step-by-step explanation:
180-158=22
The mean cost to repair the smoke and fire damage that results from home fires of all causes is $11,389 (HomeAdvisor website, December 2014). How does the damage that results from home fires caused by careless use of tobacco compare? The DATAfile named TobaccoFires provides the cost to repair smoke and fire damage associated with a sample of 55 fires caused by careless use of tobacco products. Using past years' data, the population standard deviation can be assumed known with σ = $3,027.
Answer:
The alternative is characterized in the interpretation section following the table, as per the case mentioned.
Step-by-step explanation:
According to the question:
The sample mean will be:
⇒ [tex]\bar{x}=\frac{\Sigma x}{n}[/tex]
[tex]=\frac{1050500}{55}[/tex]
[tex]=19100[/tex]
The critical value of z ([tex]z_e=1.96[/tex]) seems to be the 95 % confidence interval. So the required confidence interval will be:
= [tex]\bar{x} \ \pm \ x_{critical}\frac{\sigma}{\sqrt{n} }[/tex]
= [tex]19100 \ \pm \ 1.96.\frac{3027}{\sqrt{25} }[/tex]
= [tex]19100 \ \pm \ 800[/tex]
Consequently, the average cost of repairing flames and smoke injury can outcomes from household fires started by careless tobacco is therefore estimated at quite a 95 percent confidence interval ($18300, $19900). The 95 percent confidence interval indicates that the average estimated price of fires results through the use of tobacco is somewhat more costly than that of the average cost of flames results from across all factors that cause.The 95% confidence interval is ($18300 , $19900) and according to the confidence interval, the average estimated price of fires results through the use of tobacco is somewhat more costly than that of the average cost of flames results from across all factors that cause.
Given :
The mean cost to repair the smoke and fire damage that results from home fires of all causes is $11,389.Sample size, n = 55.The population standard deviation can be assumed known with σ = $3,027.First, find the sample mean by using the following formula:
[tex]\rm \bar{x}=\dfrac{\sum x}{n}[/tex]
[tex]\rm \bar{x}=\dfrac{1050500}{55}[/tex]
[tex]\rm \bar {x} = 19100[/tex]
Now, for 95% confidence level, the confidence interval will be:
[tex]= \rm \bar{x} \pm x_{critical} \dfrac{\sigma}{\sqrt{n} }[/tex]
[tex]\rm = 19100\pm 1.96\times \dfrac{3027}{\sqrt{55} }[/tex]
[tex]=19100\pm 800[/tex]
The 95% confidence interval is ($18300 , $19900).
According to the confidence interval, the average estimated price of fires results through the use of tobacco is somewhat more costly than that of the average cost of flames results from across all factors that cause.
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In physics, the Ideal Gas Law describes the relationship among the pressure, volume, and temperature of a gas sample. The law is represented with the formula PV = nRT, where P is the pressure, V is the volume, T is the temperature, n is the amount of gas, and R is a physical constant. Select all the equations that are equivalent to the formula PV = nRT. Group of answer choices
A. P = VnRT
B. R = PVnT
C. V = nRT / P
D. n = PV / RT
E. T = nR / PV
Also Theres Another Question
The temperature in degrees Kelvin is 273 degrees less than the temperature in degrees Celsius. Use the formula C = 5/9(F - 32) to write a formula for the temperature in degrees Fahrenheit F in terms of the temperature in degrees Kelvin K. A. F = 9/5(K - 273) - 32
B. F = 5/9(K + 273) + 32
C. F = 9/5C + 32
D. F = 9/5(K + 273) + 32
Also Please Answer My other Question I posted
Answer:
1. D and C
2. F = 9/5(k-273) + 32
Step-by-step explanation:
1. We simply want to write the given equation in different forms;
PV = nRT
So P = nRT/V
R = PV/nT
V = nRT/P
n = PV/RT
T = PV/nR
So the correct expressions are;
D, C,
2. we want to make F the subject of the formula, that would be;
C = 5/9(F - 32)
9C = 5(F - 32)
divide both sides by 5
9C/5 = F - 32
F = 9C/5 + 32
But K = C + 273
So C = K - 273
Insert this into the equation, we have
F = 9(K-273)/5 + 32
Find the slope and the y-intercept of the line.
y=8x-9
Help please
Answer:
slope=8
y intercept=-9
Step-by-step explanation:
the equation is in the form y=mx+b
where m is the slope and b is the y intercept.
Find the value of x that makes lines u and v parallel.
Please help!
A line contains the points 6,23 and 12, 39 what is the slope of this line
-4x+7=2y-3 ordered pair
Answer:
its 2112121211111111111111111111111111111111111111
Step-by-step explanation:
1r
Help
8th grade math
And I’m Loki dum
Answer:
(0,5) or 5
Step-by-step explanation:
the y intercept is the point where the line crosses the y-axis. given this info, its given that the y intercept would be 5, or (0,5) in coordinates ^_^
Answer:
0,5
Step-by-step explanation:
So this is actually simpler than it looks. All you have to do is see what point starts out with the x coordinate at zero. The center of the graph is 0,0, so the y intercept is 0,5 because that is the first graph of y. The order is 0,5 1,6 2,7 so on and so on. Hope my explanation made sense. There is a reason why I'm not a teacher. Lol.
Find the value of f(2).
y = f(x)
10
8
6
4
-10
-8
-6
-4
-2
2
4
6
8
10
-2
4
-6
-8
-10
Answer:
the answer is d
Step-by-step explanation:
no explanation i did it before lol
Philip is allowed to watch 2 hours of television each day Monday through Thursday and 4 hours of television each day Friday through Sunday. Which of the following equations can be used to calculate the number of hours of television Philip is allowed to watch in x weeks?
Answer:
x(4 × 2) + x(3 × 4)
Step-by-step explanation:
The question says "which of the following equations" which infers you have already been given options. However, none were provided in the question so my answer may be slightly different than the given options as there's several ways to solve this problem.
Monday through Thursday = 4 days × 2 hours per day
Friday through Sunday = 3 days × 4 hours per day
To find the total for one week, add the two expressions together:
(4 × 2) + (3 × 4)
The question states for "x weeks" so:
x(4 × 2) + x(3 × 4)
This is one way the equation can be written
Another way is:
x[(4 × 2) + (3 × 4)]
If neither of these are answers for your mutliple choice question, then please provide the options and I will let you know which is correct
What is 127x 958/ 3 x 35+67-9+12/2 (-25)=
Answer:
The answer to that is 1419344.66667
Step-by-step explanation:
If (3x2 – 5x + 5y - 2) is subtracted from (2x” + x - 1), what is the coefficient of x in the result?
O A. 2
OB. 6
OC. 4
OD. -1
A math professor wears for each class a combination of : one of their three hats (red, blue,green); one of their pants (black, blue, white, green); one of their shirts (white, red, black);and one of their pair of shoes (black, red, blue, white). They never wear combinations withthree items of the same color. How many different combinations are wearable?
Answer:
There are 36 ways in which he can wear combinations with three items of the different color.
Step-by-step explanation:
Hat Pants Shirts Shoes
red black red black
blue blue black red
green green white blue
white white
If we look carefully we see that he can choose any hat, any pant and any shirt but he can choose only one pair of shoes that does not match with any of the three.
3C1*4C1*3C1*4C4= 3*4*3* 1= 36
There are 36 ways in which he can wear combinations with three items of the different color.
2/3 of a pizza was left over. A group of friends divided
the leftover pizza into pieces each equal to of the
original pizza. After each friend took one piece, of
the original pizza remained. How many friends were
in the group?
Answer:
4 friends were I'm the
Step-by-step explanation:
i think
Which function is graphed?
y=3 cot(x) + 2
y = 3 cot(x+3)
y = 3 tan(x)+2
y = 3 tan(x+2)
Answer:
y = 3 tan(x)+2
Step-by-step explanation:
The function y = 3 tan(x)+2 is shown in the provided graph option 3th is correct.
What is trigonometry?Trigonometry is a branch of mathematics that deals with the relationship between sides and angles of a right-angle triangle.
The missing figure is in the picture refer to the picture.
As we have a trigonometric function.
In the picture, the graph of a tanx is shown but 2 units up.
Thus, the function y = tan(x) + 2 is shown in the provided graph option 3rd is correct.
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HELP!!! GIVING BRAINLEST
Answer:
It’s to blurry for me ☹️
Step-by-step explanation:
I need my glasses