Using the uniform distribution, it is found that:
a) The height of the density curve is of 0.25.
b) 31.25% of the time will the light flash more than 3.75 seconds after the subject clicks "Start".
c) The 38th percentile of this distribution is of 2.52 seconds. It means that 38% of the time, the light will go on in at most 2.52 seconds.
Uniform distribution:
An uniform distribution has two bounds, a and b.
The probability of finding a value of at lower than x is:
[tex]P(X < x) = \frac{x - a}{b - a}[/tex]
The probability of finding a value between c and d is:
[tex]P(c \leq X \leq d) = \frac{d - c}{b - a}[/tex]
The probability of finding a value above x is:
[tex]P(X > x) = \frac{b - x}{b - a}[/tex]
In this problem, uniform between 1 and 5, hence [tex]a = 1, b = 5[/tex]
Item a:
The height of the uniform distribution is:
[tex]h = \frac{1}{b - a}[/tex]
Hence:
[tex]h = \frac{1}{5 - 1} = 0.25[/tex]
Item b:
[tex]P(X > 3.75) = \frac{5 - 3.75}{5 - 1} = 0.3125[/tex]
0.3125 x 100% = 31.25%
31.25% of the time will the light flash more than 3.75 seconds after the subject clicks "Start".
Item c:
The 38% percentile is x for which P(X < x) = 0.38, hence:
[tex]P(X < x) = \frac{x - a}{b - a}[/tex]
[tex]0.38 = \frac{x - 1}{4}[/tex]
[tex]x - 1 = 4(0.38)[/tex]
[tex]x = 2.52[/tex]
The 38th percentile of this distribution is of 2.52 seconds. It means that 38% of the time, the light will go on in at most 2.52 seconds.
A similar problem is given at https://brainly.com/question/15855314
Which is greater, 25% of $200 or 80% of 100?
Answer:
80% of 100
Step-by-step explanation:
25% of something is basically dividing it by 4, meaning 25% of 200 is 50,
While 80% of 100 is 80
A good way to memorize this is if youre taking anything as a percent of 100, get rid of a 0 on the 100, and put a decimal place in the number.
(e.g. 90% of 10 is 9. whereas 90% of 100 is 90)
Just remember which you're dealing with!
Hope this helps!
Answer:
80% of 100 is greaterStep-by-step explanation:
25% of 200 is
0.25*200 = 5080% of 100 is
0.8*100 =80As 80 > 50,
the second number is greater
Which of the following is the point and slope of the equation y - 2 = 3/2(x - 7)?
(7, 2), 3/2
(7, 2), 3
(-7, -2), 3/2
(7, -2), 3
Point-slope form of the linear functions is like this :
[tex]y - y(point) = (slope) \times ( \: x - x(point) \: ) \\ [/tex]
[tex]y - 2 = \frac{3}{2}(x - 7) \\ [/tex]
So :
[tex]slope = \frac{3}{2} \\ [/tex]
And
Point = ( 7 , 2 )
_________________________________
And we're done.
Thanks for watching buddy good luck.
♥️♥️♥️♥️♥️
2051
20
SINO-V3 COSO - 2
2
Answer:WHAT DOES THAT EVEN MEAN!?!?
Step-by-step explanation:
!!!!!!!!
a group of 20 students and 4 adults are going on a field trip to the mueseum make a diagram to show the ratio of students and adults ?
Answer:
20=5(4)
Step-by-step explanation:
make it a linear function make the x-axis adults and the y-axis students and for every 1 adullt go up by 5 student
. Which of the following could be the graph of the equation y=-2x?
A.
B.
C.
Answer:
a
Step-by-step explanation:
The linear equation y = -2x is passing through the origin. Then the correct option is B.
What is a linear equation?A connection between a number of variables results in a linear model when a graph is displayed. The variable will have a degree of one.
The linear equation is given as,
y = mx + c
Where m is the slope of the line and c is the y-intercept of the line.
The linear equation is given below.
y = -2x
The y-intercept in the above equation is zero. Then the linear equation is passing through the origin.
The linear equation y = -2x is passing through the origin. Then the correct option is B.
More about the linear equation link is given below.
https://brainly.com/question/11897796
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Point N Is on line segment MO. Given NO= 14 and MO = 18 determine the length MN
Answer:
4
Step-by-step explanation:
What is the slope-intercept form of 9x + 3y = 15?
Answer:
y = -3x + 15
Step-by-step explanation:
9x + 3y = 15
subtract 9x from both sides of equation
3y = 15 - 9x
isolate y by dividing
y = 15 -3x
rewrite
y = -3x + 15
Answer:
The answer is y = -3x + 5
Step-by-step explanation:
I took the quiz and got it correct.
Which point is a solution to the inequality shown in this graph?
A. (0,0)
B. (5,-5)
C. (0,1)
D. (-5,1)
7th grade mathhh help me plzzz
Answer:
40 degrees
Step-by-step explanation:
Answer:
40°F
Step-by-step explanation:
If you add 15 to -15 it's 0 and if you add another 15 that's 15 and if you add a 10 it brings it up to 25.
12.) Given the following information, determine which lines, if any, are parallel. State the converse that justifies your answer. Pleaseee helppp
Answer:
Step-by-step explanation:
Given Parallel lines Converse
a. ∠13 ≅ ∠17 a║c Corresponding angles
b. ∠4 ≅ ∠9 d║e Exterior alternate angles
c. m∠20 + m∠21 = 180° a║b Consecutive interior angles
d. ∠8 ≅ ∠19 Vertical angles
e. ∠10 ≅ ∠23 b║c Interior alternate angles
f. m∠14 + m∠17 = 180° a║c Consecutive interior angles
From the given diagram and information, it can be concluded that lines a, b, and c are parallel, and lines d and e are parallel.
The given lines in the diagram are a, b, c, d, and e.
a. It is given that the measure of angle 13 is equal to that of angle 17.
Now, these two angles are made by lines a, c, and d. Now, the angles are corresponding and equal, and hence, lines a and c will be parallel.
b. It is given that the measure of angle 4 is equal to that of angle 9.
These two angles are made by lines d, e, and b. Now, the angles are alternate exterior and equal, and hence, lines d and e will be parallel.
c. It is given that the sum of the measure of angles 20 and 21 is equal to 180 degrees.
These two angles are made by lines a, b, and e. Now, the angles are supplementary and their sum is 180 degrees, and hence, lines a and b will be parallel.
d. It is given that the measure of angle 8 is equal to that of angle 19.
These two angles are vertically opposite angles between lines a and e.
e. It is given that the measure of angle 10 is equal to that of angle 23.
These two angles are made by lines b, c, and e. Now, the angles are alternate interior and equal, and hence, lines b and c will be parallel.
f. It is given that the sum of the measure of angles 14 and 17 is equal to 180 degrees.
These two angles are made by lines a, c, and d. Now, the angles are supplementary and their sum is 180 degrees, and hence, lines a and c will be parallel.
Therefore, it can be concluded that lines a, b, and c are parallel, and the lines d and e are parallel.
For more details, refer to the link:
https://brainly.com/question/20263406
Assuming equal rates, 120 miles in 6 hours implies 150 miles in how many hours?
Answer:
9 hours
Step-by-step explanation:
area exercises 1 5\8 hours per day if he exersises five days a week how many total hours does he exersise in a week
Question 6
>
Consider the parabola given by the equation: f(x) = – 4x2 + 6x – 2
Find the following for this parabola:
A) The vertex:
B) The vertical intercept is the point
C) Find the coordinates of the two 2-Intercepts of the parabola and write them as a list, separated
by commas:
It is OK to round your value(s) to to two decimal places
> Next Question
Answer:
b
Step-by-step explanation:
trust me ON this one OK
Enter the value of (-3)(2)(3).
Answer:
-18
Step-by-step explanation:
-3 × 2 = -6
-6 × 3 = -18
What is the quotient of 3÷1/6 multiply 3 by
Answer:
18
Step-by-step explanation:
Change 3 into a fraction.
Which gives you 3/1
multiply 3/1 by the inverse of 1/6
3/1x1/6
Then you get 1 :)
Look at the figure. How can you prove the triangles are congruent?
A. ∆ABD ≅ ∆CDB by the SAS Postulate.
B, It is not possible to determine if the triangles are congruent.
C. ∆ABD ≅ ∆CDB by the SSS Postulate.
Answer:
A. ∆ABD ≅ ∆CDB by the SAS Postulate.
Step-by-step explanation:
You know lines AB and DC are congruent because of the lines on each. Additionally, angles B and D are congruent for the alternative interior angles rule and they also are marked as congruent in the image. Finally, DB is congruent to DB because of the reflexive property. So you have two sides and the included angle, this makes the SAS postulate true.
Answer:
the answer is A
Step-by-step explanation:
Find a function, g(x) that transform f (x) = 3 sqrt x by shifting f (x) right 3 units
Given
The function is
[tex]f(x)=3\sqrt{x}[/tex]
The function g(x) transform by shifting f(x) right 3 units.
To find:
The function g(x).
Step-by-step explanation:
The translation is defined as
[tex]g(x)=f(x+a)+b[/tex]
where, a is horizontal shift and b is vertical shift.
If a>0, then the graph shifts a units left and if a<0, then the graph shifts a units right.
If b>0, then the graph shifts b units up and if b<0, then the graph shifts b units down.
The function f(x) shifts only 3 units right. So,
[tex]a=-3,b=0[/tex]
Now,
[tex]g(x)=f(x+(-3))+0[/tex]
[tex]g(x)=f(x-3)[/tex]
[tex]g(x)=3\sqrt{x-3}[/tex] [tex][\because f(x)=3\sqrt{x}][/tex]
Therefore, the required function is [tex]g(x)=3\sqrt{x-3}[/tex].
1. The value of 25 x (8.5) is:
a.
More than 250
b. Less than 250
Multiplication is the process of multiplying, therefore, adding a number to itself for the number of times stated. The value of 25×8.5 is less than 250. The correct option is B.
What is multiplication?Multiplication is the process of multiplying, therefore, adding a number to itself for the number of times stated. For example, 3 × 4 means 3 is added to itself 4 times, and vice versa for the other number.
The value of 25×8.5 is needed to be calculated in order to know if the product is more than 250 or not. Therefore, the value of the 25×8.5 can be calculated as,
25×8.5
= 25 × (85/10)
= 2125/10
= 212.5
Since the value of the product of 25 and 8.5 is 212.5 which is less than 250. It can be calculated that the number is smaller than 250.
Hence, the value of 25×8.5 is less than 250.
Learn more about Multiplication here:
https://brainly.com/question/14059007
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Find the annual percentage yield (APY) in the following situation,
A bank offers an APR of 3.88% compounded monthly.
The annual percentage yield is %.
(Do not round until the final answer. Then round to two decimal places as needed.)
What’s the answer?
Answer:
3.95%
Step-by-step explanation:
An interest-bearing account paying a stated nominal or annual interest rate of 3.880% compounded monthly, would translate to an Annual Percentage Yield (APY) or Effective Annual Rate (EAR) of 3.95%. This means that $100.00 will grow to $103.95 ($103.95 rounded) after one year.
find the average of 72,95,100,85,and 88
Answer:
88
Step-by-step explanation:
72 + 95 + 100 + 85 + 88=440
440/5=88
Please help im stuck. Integrated 2 Math.
Axel runs 10 kilometers in 85 minutes. At the same rate, how many minutes would he take to run 8 kilometers?
Answer:
68
Step-by-step explanation:
85/10= 8.5 (sp he's running each km in 8.5 mins)
8.5x8= 68
Marie and fe work in a flower shop 6 hours on weekend to add their daily allowance in school. They spends 2 1/3 hours for making bouquet, 1 1/2 hours for cutting leaves, and the rest for flower arrangements. How many hours on weekend they spend in flower arrangements?
Answer:
2 1/6 hours
Step-by-step explanation:
2 1/3 + 1 1/2 + x = 6
convert all mixed numbers to improper fractions
7/3 + 3/2 + x = 6/1
change all numbers to have a common denominator
14/6 + 9/6 + x = 36/6
combine like terms
23/6 + x = 36/6
subtract 23/6 from both sides
x = 13/6
convert improper fraction to mixed number
2 1/6
write an equation to solve for x your only writing the equation. 7x+9 5×+3 there's three answers the bottom one is if none of the other two are right I thought the answer was number two but the person that answered it gave me a different number so somebody can help me I would mark this brainest did you see the third option is blank I came up with the answer number two is that correct or is it the 7x + 9 + 5x + 3 equals 180 brainest awared
Answer:
7x + 9 + 5x + 3 = 180Step-by-step explanation:
its a supplementary angles:
so the equation is add the two equation equals to 180
7x + 9 + 5x + 3 = 180
21
9
0
?
15
HURRY
I HAVE 19 more minutes
Put the following equation of a line into slope-intercept form, simplifying all
fractions.
6y - 3x = -24
y = mx + b
6y = 3x - 24
2y = x - 8
y = [tex]\frac{1}{2}[/tex]x - 4
Answer:y = mx + b
6y = 3x - 24
2y = x - 8
y = x - 4
Step-by-step explanation:
Just took the test
Justify each step of this inequality by stating the property that was used to get to each step. Given: -5(r+3)<12-10r+3r Property used: Step 1: -5(r+3)<12-7r Step 1: Step 2: -5r-15<12-7r Step 2: Step 3: 2r-15<12 Step 3: Step 4: 2r<27 Step 4: Step 5: r<13.5 Step 5:
Answer:
See below.
Step-by-step explanation:
We have:
Given:
[tex]-5(r+3)<12-10r+3r[/tex]
Step 1: Combining Like Terms (on the right):
[tex]-5(r+3)<12-7r[/tex]
Step 2: Distributive Property (distribute the -5 on the left):
[tex]-5r-15<12-7r[/tex]
Step 3: Addition Property of Equality (add 7r to both sides):
[tex]2r-15<12[/tex]
Step 4: Addition Property of Equality (add 15 to both sides):
[tex]2r<27[/tex]
Step 5: Division Property of Equality (divide both sides by 2):
[tex]r<13.5[/tex]
And we're done!
Answer:
Step 1: Combining Like Terms
Step 2: Distributive Property
Step 3: Addition Property of Equality
Step 4: Addition Property of Equality
Step 5: Division Property of Equality
An ice cream cone has a diameter of 6 centimeters. What is the volume of the cone, if the cone is 9 centimeters tall?
Answer:
V≈84.82
Step-by-step explanation:
V=πr2h
tolong bantu jawab please, makasih sebelumnya!
Answer:
2x² - 3x - 2
Explain:
Use the FOIL method: (a +b)(c +d) = ac + ad +bc +bd.
2x² + x - 4x - 2
Collect like terms.
2x² + (x - 4x) - 2
Simplify.
2x² - 3x - 2
n - 4 = 3n + 6 Yikesss
Answer: n=-5
Step-by-step explanation:
Answer:
N=-5
Step-by-step explanation:
N - 4 = 3n + 6
Add 4 to both sides
n-4+4=3n+6+4
Simplify
n=3n+10
subtract 3n from both sides
n-3n=3n+10-3n
Simplify
-2n=10
Divide -2 from both sides
-2n/-2=10/-2
Simplify
n=-5
