A manufacturing firm tests job applicants. Test scores are normally distributed with a mean of 500 and a standard deviation of 50. What is the probability that the candidate score is 600 or greater
Answer:
The probability that the candidate score is 600 or greater
P(X≥ 600 ) = 0.0228
Step-by-step explanation:
Step(i):-
Given mean of the Population = 500
Given standard deviation of the Population = 50
Let 'X' be the random variable in normal distribution
Given X = 600
[tex]Z = \frac{x-mean}{S.D} = \frac{600-500}{50} = \frac{100}{50} =2[/tex]
Step(ii):-
The probability that the candidate score is 600 or greater
P(X≥ 600 ) = P(z≥2)
= 0.5 - A(2)
= 0.5 -0.4772
= 0.0228
Final answer:-
The probability that the candidate score is 600 or greater
P(X≥ 600 ) = 0.0228
Pythagorean theorem
Answer: The area of the square whose side is the hypotenuse is equal to the sum of the areas of the squares on the other two sides. Quote the actual definition of the Pythagorean theorem.
Pythagorean theorem
in the right angle triangles there is a relationship that governs the length of the three sides. if we knows the length of any two sides, the third side may be calculated by the use of the Pythagorean theorem.
This theorem states that the square on the hypotenuse of a right angled triangle is equal to the sum of the squares on the remaining two sides.
we only use Pythagorean theorem to find the length of the missing side of a right angled triangle only.
Which pair of numbers has a sum of 100?
A 57, 53
B 37, 53
C 47, 73
D 37, 63
Answer:
D
Step-by-step explanation:
Add 30 and 60 and get 90 then add the leftover 7 and 3 which equals 10 now add both 90 and 10 which equals 100
PLEASE ANSWER ASAP FOR BRAINLEST!!!!!!!!!!!!!!!!!!!!!!!!!!
Answer:
12
Step-by-step explanation:
savings account
deposit: $800
rate: 6% per year
time: 2 years
Answer:
896
Step-by-step explanation:
1. find 12% (because the time is 2 years) of 800 (94)
2. 96 + 800 = 896
3. answer is 896
HELP , I’ll MArK bRAINLIESt
Answer:
you need to work on your capitalization.
Step-by-step explanation:
no offense.
1) What is the sample space for the given situation?
A) [2, 3, 4, 5, 6, 7, 8, 9)
B) [3, 4, 5, 6, 7, 8, 9)
(1,3,5,7,9
D) {3,5,7)
Please help
Answer:
false_(a) 3 € {2,4,6,8} false_(b) 0 € false (c) {1} € {1, 2, 3} true_(d) {2} S {1, 2, 3} true (e) {1, 3, 5, 7, 9) = {1, 5, 9, 3, 7) false_(f) {1,3,5, 9) = {1,3,5,9} true_ () Ø Ç {1,3
Step-by-step explanation:
i don't know about this is this it ?
PLEASE HELP WILL GIVE BRAINLIEST!!!!! Type the correct answer in each box. Use numerals instead of words. If necessary, use / for the fraction bar(s).
Let x represent the measure of angle ACD, and let y represent the measure of angle BCF.
The value of x is ____° and the value of y is ____°.
https://cdn.app.edmentum.com/EdAssets/75daf5dd3ed54096ba433c14250fa639?ts=635036779654800000
Answer:
in the triangle ACB
∠ACB+90+34=180-----> ∠ACB=180-(90+34)----> ∠ACB=56°
∠ACD and ∠ACB-----> are supplementary angles
so
∠ACD+∠ACB=180-----> ∠ACD=180-56----> 124°------> x=124°
the answer Part 1) is x=124°
Part 2)
∠ACB+∠BCF+80=180-----> ∠BCF=180-(∠ACB+80)---> 180-(56+80)
∠BCF=180-136----> 44°-----> y=44°
the answer Part 2) is y=44°
Step-by-step explanation:
What is 0.25 as a fraction
Answer:
1/4
Step-by-step explanation:
[tex]\frac{1}{4}[/tex]
Answer: 1/4
Step-by-step explanation:
Trust me ;)
2. 2x2 + 24x + 13
How do I write the following in vertex form
Answer:
y=2(x+6)^2 -59
Step-by-step explanation:
Can someone give me the answer and explain it to me? I honestly don't even get this-
The graph shows the number of gallons of white paint that were mixed with gallons of yellow paint in various different ratios:
Graph titled Mixing Paint, horizontal axis labeled Yellow Paint in gallons, and vertical axis labeled White Paint in gallons is shown. The horizontal scale is 0 to 24 in increments of 3. The vertical scale is 0 to 168 in increments of 21. The plotted points are 3, 21 and 6, 42 and 9, 63.
The number of gallons of white paint mixed with 1 gallon of yellow paint is ______.
Answer:
the ratio is 1:7
so the answer is 7 gallons of white paint
Step-by-step explanation:
Hope this helps!!
Answer:
7
Step-by-step explanation:
on the graph, it shows that for every 21 gallons of white paint there are 3 gallons of yellow. Then you divide 3 by 21 and the answer is 7.
Assume that police estimate that 12% of drivers do not wear their seatbelts. They set up a safety roadblock, stopping cars to check for seatbelt use. They stop 50 cars during the first hour. a. Find the mean, variance, and standard deviation of the number of drivers expected not to be wearing seatbelts. Use the fact that the mean of a geometric distribution is μ= 1 p and
Answer: mean = 8.33, variance =61.11 , standrad deviation = 7.82
Step-by-step explanation:
For geometric distribution,
Mean = [tex]\dfrac1p[/tex]
variance = [tex]\dfrac{1-p}{p^2}[/tex]
Standard deviation[tex]=\sqrt{Variance}[/tex] , where p = probability of success in each trial.
Given: p= 0.12
Mean = [tex]\dfrac1{0.12}=8.33[/tex]
Variance = [tex]\dfrac{1-0.12}{0.12^2}=\dfrac{0.88}{0.0144}=61.11[/tex]
Standard deviation = [tex]\sqrt{61.11}\approx7.82[/tex]
Hence, mean = 8.33, variance =61.11 , standrad deviation = 7.82
What is the slope of y=-5+4x
A political scientist wants to know how college students feel about the Social Security system. She obtains a list of the 3456 undergraduates at her college and mails a questionnaire to 250 students selected at random. Only 104 questionnaires are returned.
1. What is the population in this study?
2. What is the sample size?
Answer: See explanation
Step-by-step explanation:
1. The population in a research are the group of people that the research study carried out by a researcher will affect. In this case, the population will be 3456.
2. The sample study are those that took part in the research. In this case, the sample study will be 104 since they're the ones that took part and returned the questionnaires.
AS ALWAYS, DUE TODAY!!! WILL GIVE EVERYTHING GOOD!!! NOTE: I NEED THE COORDINATES!!! I STILL NEED HELP WITH THIS!!!
Answer:
(2, 5)
Step-by-step explanation:
An investor purchased 100 shares of stock in a company for $1,500. One year later, the investor sold all the shares for $1,750. What is the investor's rate of return?
Answer:
16 2/3%
Step-by-step explanation:
rate of return is the profit (1750 - 1500) over the original investment
250/1500 = .1666 or 16 2/3%
Answer: .1666
Step-by-step explanation:
Tim saw that a pair of $200 dollar jeans had been marked down by 20%. He told his friend that if you took the new price of the jeans and increased that value by 20%, the jeans would return to the original price of $200. is he correct or no?
Hey there!
The answer is no, they would not return to the original price of $200.
This is because when you decrease 200 by 20%, you get 160. Then, if you increase 160 by 20%, you get 192. This is because 20% of 200 and 20% of 160 is different.
Hope this helps! Have a great day, and good luck on your assignment!
What’s 36 x 99? I don’t know, do you?
Answer:
3564
Step-by-step explanation:
calculator, dude.
Answer:
Its 3,464 *smh
If you had 99 barrels of oil, then multiplied it why 36, how much would u have?
Answer - 3,464
During four trips to the arcade, Julie has collected ticket amounts of 15, 60, 78, and 94.
What is the fewest number of tickets she can collect during her final visit to have an average of 70 tickets per visit?
Answers:
During four trips to the arcade, Julie has collected ticket amounts of 15, 60, 78, and 94.
the screen shot contains the answer!
What is the fewest number of tickets she can collect during her final visit to have an average of 70 tickets per visit?
103
hope this helps :)
Is the relationship between time and distance an arithmetic sequence?
Explain.
Part A
At the market, Meyer buys a bunch of bananas for $0.50 per pound and a frozen pizza for $6. The total for his purchase was $8.50.
Which equation can be used to determine how many pounds p of bananas Meyer bought?
A) 0.5p - 6 = 8.50
OB) 0.5p + 6 = 8.50
O C) 6p - 0.5 = 8.50
OD) 6p + 0.5 = 8.50
Answer:
B) 0.5p + 6 = 8.50
Step-by-step explanation:
If bananas cost $0.50 per pound, you would have to multiply that by how many pounds Meyer bought, or p. When you found how many bananas Meyer bought, you would have to add the money for the frozen pizza ($6) That will give you a total of $8.50.
Answer:
5 pounds
Step-by-step explanation:
First, we need to find the value of 0.5p so our equation is:
8.5 - 6 = 2.5
Then we need to find the value of p in that 2.5, so our equation is:
2.5 ÷ 0.5 = 5
So Meyer bought 5 pounds of bananas
CORRECT ANSWER GETS BRAINLEYY
Answer:
D
Step-by-step explanation:
[tex]w = x + \frac{y}{z}\\\\w-x = \frac{y}{z}\\\\(w - x)*z = y\\\\z = \frac{y}{w-x}[/tex]
Ben starts walking along a path at 3 mi/h. One and a half hours after Ben leaves, his sister Amanda begins jogging along the same path at 5 mi/h. How long (in hours) will it be before Amanda catches up to Ben?
Answer:
2 hours 15 minutes
Step-by-step explanation:
Given that :
Ben's speed = 3 mi/hr
One and half hours after Ben leaves = 1.5 hours
Ben's distance = 3 mi/hr * 1.5 = 4.5 miles
Amanda's speed = 5 mi/hr
Time taken before Amanda catches up:
Let time taken = x
Distance = speed * time
Ben's distance = Amanda's distance
4.5 mi + (3 * x) = 5 * x
4.5 + 3x = 5x
4.5 = 5x - 3x
4.5 = 2x
x = 4.5 / 2
x = 2.25 hours
Time taken = 2.25 * 60 = 135 minutes = 2 hours 15 minutes
It would take Amanda 2.25 hours to catch up with Ben
Speed is the ratio of distance to time. It is given by:
Speed = distance/time
Given that Ben covers a distance d at time t, hence:
3 = d/t
d = 3t
Since Amanda leaves One and a half hours (1.5) after Ben leaves, hence Time = t - 1.5
5 = d/(t - 1.5)
d = 5t - 7.5
Since they catch up, hence:
3t = 5t - 7.5
2t = 7.5
t = 3.75 hours
Time for Amanda = t - 1.5 = 3.75 - 1.5 = 2.25 hours
Hence it would take Amanda 2.25 hours to catch up with Ben.
Find out more at: https://brainly.com/question/22610586
A +40 =0. What is the value of A?
Answer:
-40
Step-by-step explanation:
Answer:
hope you for the answer
Step-by-step explanation:
A+40=0
A=0-40
A=-40#
Determine which of the lines, if any, are parallel. Explain.
Line a: 4y +x=8
Line b: 2y + x = 4
Line c: 2y = -3x + 6
; The slopes are
Answer:
Parallel lines have same slope but different y-intercept
None of the given equations have same slope. Therefore lines are not parallel.
Step-by-step explanation:
Slope of Line a: 4y +x=8 is -1/4
Slope of Line b: 2y + x = 4 is -1/2
Slope of Line c: 2y = -3x + 6 is -3/2
Since the slope of the parallel lines is equal and the slope of the given lines is not equal the lines are not parallel.
What is the slope?The ratio that y increase as x increases is the slope of a line. The slope of a line reflects how steep it is, but how much y increases as x increases. Anywhere on the line, the slope stays unchanged (the same).
[tex]\rm m =\dfrac{y_2-y_1}{x_2-x_1}[/tex]
It is given that, the lines are.
Line a: 4y +x=8
Line b: 2y + x = 4
Line c: 2y = -3x + 6
Line a,
4y +x=8
4y= -x+8
y=-1/4x+2
Compare the given equation with the standard equation, y=mx+c in order to find the value of slope(m).
The slope of line a is -1/4.
Line b:
2y + x = 4
2y=-x+4
y= -1/2x+2
The slope of line b is -1/2.
Line c:
2y = -3x + 6
y= -3/2x+3
The slope of line c is -3/2
The slopes of the line 4y +x=8, 2y + x = 4 and 2y = -3x + 6 will be -1/4, -1/2 and -3/2 respectively.
Thus, if the slope of the parallel lines is equal and the slope of the given lines is not equal the lines are not parallel.
Learn more about the slope here:
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9 m
Perimeter = 42 meters
length
Answer:
Ok but what is this for
Step-by-step explanation:
h(x)=4-2x find h (-3)
Answer:
10
Step-by-step explanation:
h(x) = 4 - 2x
h(-3) = 4 - 2*(-3)
= 4 + 6
= 10
Write an equation for the line (y = mx + b)
Write a sentence explaining a real-life situation that this line could represent. (Make sure you use the word ascending in your sentence.)
How many meals would be packed in 20 hours?
Answer:
y = 125x2500 meal packs in 20 hoursStep-by-step explanation:
As per attached graph, there is proportional relationship with the formula:
y = 125xWe can easily find it using points (0, 0) and (2, 250)
m = 250/2 = 125The situation would be:
Team of volunteers help to pack meals for charity. They can pack 125 meals in an hour. How many meals would be packed in 20 hours?
125*20 = 2500 meal packsWhat is the solution to the equation 3X + 27 = -2x + 18
Answer:
-9/5 or -1.8
Step-by-step explanation:
3x+27=-2x+18 add 2x to both side
5x+27=18 minus 27 from both side
5x=-9 divide 5
x=-9/5, in decimal form=-1.8
Answer:-9/5
Step-by-step explanation:
3x + 27 = -2x + 18
-27 -27
-3x = -2x - 9
+2x +2x
5x = -9
5x/5 = -9/5
x= -9/5
Scale factor: 2:1
10 in
5 in
13 in
Scale drawing
Object
A. Side a is 26 inches long, side bis 20 inches long, and side cis 10
inches long
B. Side a is 15 inches long, side bis 12 inches long, and side cis 7
inches long
C. Side a is 11 inches long, side bis 8 inches long, and side cis 3
inches long
D. Side ais 2.5 inches long, side bis 5 inches long, and side cis 6.5
inches long
Answer: A. Side a is 26 inches long, side b is 20 inches long, and side c is 10.
Step-by-step explanation:
Scale factor for drawing = 2:1
Dimensions of drawing : 10 in, 5 in, 13 in
Dimension of object = Scale factor x Dimension of drawing
Sides of object:
2 x 10 in =20 in [b]
2 x 5 in = 10 in [c]
2 x 13 in = 26 in. [a]
Hence, the correct option is
A. Side a is 26 inches long, side b is 20 inches long, and side c is 10.
Answer:
Side a is 2.5 inches long, side b is 5 inches long and side c is 6.5 inches long.
Step-by-step explanation: