Answer:
2.5% of drivers have a reaction time more than 2.14 seconds
16% of drivers have a reaction time less than 1.78 seconds
84% of drivers have a reaction time less than 2.02 seconds
Step-by-step explanation:
The Empirical Rule(68-95-99.7 rule) states that, for a normally distributed random variable:
68% of the measures are within 1 standard deviation of the mean.
95% of the measures are within 2 standard deviation of the mean.
99.7% of the measures are within 3 standard deviations of the mean.
The normal distribution is symmetric, which means that 50% of the measures are below the mean and 50% are above.
In this problem, we have that:
Mean = 1.9s
Standard deviation = 0.12
What percentage of drivers have a reaction time more than 2.14 seconds?
2.14 = 1.9 + 2*0.12
So 2.14 is two standard deviations above the mean.
Of the 50% of the measures above the mean, 95% are within 2 standard deviations of the mean, so, below 2.14. The other 5% is above.
0.05*0.5 = 0.025
2.5% of drivers have a reaction time more than 2.14 seconds
What percentage of drivers have a reaction time less than 1.78 seconds?
1.78 = 1.9 - 0.12
So 1.78 is one standard deviation below the mean.
Of the 50% of the measures that are below the mean, 68% are within one standard deviation of the mean, that is, greater than 1.78.
100 - 68 = 32
0.32*50 = 0.16
16% of drivers have a reaction time less than 1.78 seconds
What percentage of drivers have a reaction time less than 2.02 seconds?
2.02 = 1.9 + 0.12
So 2.02 is one standard deviation above the mean.
Of the measures that are below the mean, all are below 2.02.
Of those that are above, 68% are below 2.02.
0.5 + 0.68*0.5 = 0.84
84% of drivers have a reaction time less than 2.02 seconds
The percentage of drivers have a reaction is :
-2.5% of drivers have a reaction time more than 2.14 seconds
-16% of drivers have a reaction time less than 1.78 seconds
-84% of drivers have a reaction time less than 2.02 seconds
"68-95-99.7 rule"Answer 1:
The percentage of drivers have a reaction time more than 2.14 seconds is :2.14 = 1.9 + 2*0.12
So 2.14 is two standard deviations above the mean.Of the 50% of the measures above the mean, 95% are within 2 standard deviations of the mean, so, below 2.14. The other 5% is above.0.05*0.5 = 0.0252.5% of drivers have a reaction time more than 2.14 seconds
Answer 2:
The percentage of drivers have a reaction time less than 1.78 seconds is :1.78 = 1.9 - 0.12
So, 1.78 is one standard deviation below the mean.Of the 50% of the measures that are below the mean, 68% are within one standard deviation of the mean, that is, greater than 1.78.100 - 68 = 320.32*50 = 0.1616% of drivers have a reaction time less than 1.78 seconds.
Answer 3:
The percentage of drivers have a reaction time less than 2.02 seconds :2.02 = 1.9 + 0.12
So, 2.02 is one standard deviation above the mean.Of the measures that are below the mean, all are below 2.02.Of those that are above, 68% are below 2.02.0.5 + 0.68*0.5 = 0.8484% of drivers have a reaction time less than 2.02 seconds
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This Venn diagram shows the pizza topping preferences for 9 students let event A= The student likes pepperoni let event B= the student likes olives
What is P(a or b)
Answer:
B. 5/9
Step-by-step explanation:
There are 5 names listed in the circles representing pepperoni and olives, so of the 9 students, 5 like pepperoni or olives.
P(A or B) = 5/9
You can type 36 words per 18 minute. How many words can you type in 2 minutes?
Answer:
4 words in 2 minutes
Step-by-step explanation:
36 / 18 = 2
2 words per minutes
2 x 2 = 4
You can type 4 words in two minutes
Step-by-step explanation:
So if you can type 36 word in 18 minutes then divide 36 by 18 to get 2 words per minute. Now multiply 2 words by 2 minutes to get 4 words per minute, your answer.
what is greater 16.5 or 18750
Answer:
18750
Step-by-step explanation:
This is because 18750 is 5 digits and 16.5 is only 2 whole digits
Given the inequality -10x + y > 25, determine whether the following two ordered pairs are included in the solution set.
(0, 25)
(-4, 10)
Which of the following statements is true?
Question 5 options:
The point (0, 25) is a solution, but the point (-4, 10) is not a solution.
The point (0, 25) is not a solution, but the point (-4, 10) is a solution.
Both (0, 25) and (-4, 10) are solutions.
Both (0, 25) and (-4, 10) are not solutions.
Answer:
The point (0, 25) is not a solution, but the point (-4, 10) is a solution.
Step-by-step explanation:
You can graph the inequality and check. The first point (0, 25) is on the boundary line, but that line is NOT part of the solution set. The second point (-4, 10) is well inside the solution space.
(0, 25) is not a solution
(-4, 10) is a solution
_____
You can put the values into the inequality and see if a true statement results.
-10(0) +(25) > 25 . . . . False
-10(-4) +(10) > 25 . . . . true
The first point is NOT a solution; the second point IS a solution.
Suppose I have a right trapezoid with base lengths of 4 and 16. Is there any way I can find out what the missing side is? (see image attached)
Answer:
no
Step-by-step explanation:
If you draw a line from the right end of the top base to the bottom base, parallel to the left side, you cut off a right triangle that has a bottom leg of 12 and two unknown sides (height, and slant length).
All you can say is that the unknown slant length is more than 12 units.
If you know the height, you can find the slant length (hypotenuse) using the Pythagorean theorem.
What is the area of circle with a diameter of 22 ft? (use 3.14 for pi; show your work in numbers)
The right answer is 379.94 ft^2
please see the attached picture for full solution
Hope it helps
Good luck on your assignment
Answer:
[tex]379.94 {in}^{2} [/tex]
Step-by-step explanation:
[tex]d = 2r \\ 22 = 2r \\ \frac{22}{2} = \frac{2r}{2} \\ \\ r = 11ft[/tex]
[tex]area = \pi {r}^{2} \\ = 3.14 \times 11 \times 11 \\ = 379.94 {ft}^{2} [/tex]
hope this helps
brainliest appreciated
good luck! have a nice day!
The Darnells are having a swimming pool installed. The pool has a radius of 14 feet and a height of 4 feet. What is the volume of the pool? Use 3.14 for Pi.
cylinder. height 4 feet. radius 14 feet
a
351.68 cubic feet
b
703.36 cubic feet
c
2,461.76 cubic feet
d
615.44 cubic feet
The rental of the ice is $75, plus $3 per skater. Write an expression for the cost in dollars for n skaters.
Answer:
f(n)=75+(n*3)
Step-by-step explanation:
Complete the equation of the line whose slope is -2 and y-intercept is (0,-8).
y =
Answer:
y = -2x - 8
Step-by-step explanation:
The slope is the number in front of the x. If it is a whole number then the slope is number/1. Then the slope is rise over runs. Then the y-intercept is the number after the x. Sometimes there isn't y-intercept. In this one the y-intercept is -8.
A freshman English class at a certain college has 49 women and 20 men. If 5 students are randomly selected, what is the probability that they are all men? Round to five decimal places.
Answer:
0.00138
Step-by-step explanation:
ASAP! GIVING BRAINLIEST! Please read the question THEN answer CORRECTLY! NO guessing. Show your work OR give an explaination.
Answer:
y = x² - 8x + 17
Step-by-step explanation:
Recall this formula:
y = a(x-h)² + k
Original equation was y = x², which in this form looks like
y = 1(x - 0)² + 0
If the shape of the graph didn't change, that means that a (the compressor/intensifier) stayed the same (a - value) meaning we can write the equation as..
y = (x-h)² + k
Remember, (h, k) is the vertex, which looking from your graph is at (4, 1)
y = (x - 4)² + 1
y = x^2- 8x + 16+1
y = x² - 8x + 17
Plz I need a lot of help plz solve the answer with an explanation
Step-by-step explanation:
Each roll has 6 possible outcomes, so two rolls have 36 possible sums. We can make a table showing what these sums are:
[tex]\left[\begin{array}{ccccccc}&\textbf{1}&\textbf{2}&\textbf{3}&\textbf{4}&\textbf{5}&\textbf{6}\\\textbf{1}&2&3&4&5&6&7\\\textbf{2}&3&4&5&6&7&8\\\textbf{3}&4&5&6&7&8&9\\\textbf{4}&5&6&7&8&9&10\\\textbf{5}&6&7&8&9&10&11\\\textbf{6}&7&8&9&10&11&12\end{array}\right][/tex]
Of the 36 sums, 10 are greater than 8, and 18 are odd.
P(A) = 10/36 = 5/18
P(B) = 18/36 = 1/2
I would just like to say how happy I have been for getting answers from other people - it's been great!
Just one more question of the day!!!!
Can people please tell me what shapes they are mathematically.
Cheers
Jake
Answer:
Image A could be a Cylinder
Image B is a Tetrahedron
Step-by-step explanation:
Hope this helps : )
Noel read 90 minutes each day for 6 days. Tyra read minutes each day for 8 days. What is the difference, in minutes, between the total amount of time Noel read and the total amount of time Tyra read?
A) 30
B) 40
C) 60
D) 80
Help with this please
Answer:
C) 60
Step-by-step explanation:
For computing the difference between the time taken in minutes by Noel and Tyra first we have to compute individually which are as follows
For Noel, the time taken required
[tex]= Time\ required \times number\ of\ days[/tex]
[tex]= 90\ minutes \times 6\ days[/tex]
= 540 minutes
For Tyra, the time taken required
[tex]= Time\ required \times number\ of\ days[/tex]
[tex]= 60\ minutes \times 8\ days[/tex]
= 480 minutes
So the difference is
= 540 minutes - 480 minutes
= 60 minutes
Hence, the third option is correct
when a number is decreased by 19% the result is 66 what is the original number to
the nearest tenth percent
Answer:
The original number is x = 66 .19
Step-by-step explanation:
Let 'x' be the number
Given data a number is decreased by 19% the result is 66
x - 19% = 66
x-0.19 = 66
Adding '0.19' on both sides , we get
x - 0.19 +0.19 = 66 +0.19
x = 66 .19
The original number is x = 66 .19
The original number is 66.19.
Given that,
The number is decreased by 19% the result is 66.
We have to determine,
What is the original number?
According to the question,
Let, the original number be x,
The number is decreased by 19% the result is 66.
[tex]x - \dfrac{19}{100} = 66\\\\x - 0.19 = 66\\\\x = 66 + 0.19\\\\x = 66.19[/tex]
Hence, The required original number is 66.19.
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Each person tries to balance his or her time between leisure and work. The tradeoff is that as you work less your income falls. Therefore each person has indifference curves which connect the number of hours of leisure, l, and income, s. If, for example, you are indifferent between 0 hours of leisure and an income of $1125 a week on the one hand, and 10 hours of leisure and an income of $750 a week on the other hand, then the points l = 0, s = 1125, and l = 10, s = 750 both lie on the same indifference curve.
The table below gives information on three indifference curves, I, II, and III.
Weekly Income Weekly Leisure Hours
I II III I II III
1125 1250 1375 0 20 40
750 875 1000 10 30 50
500 625 750 20 40 60
375 500 625 30 50 70
250 375 500 50 70 90
(a) On a sheet of paper, or using a calculator or other technology, graph the three indifference curves. (You will need these to answer part (d) of this problem.)(b) You have 95 hours a week available for work and leisure combined, and you earn $21.45/hour. Write an equation in terms of l and s which represents this constraint. (c) Graph this constraint with your graph of the indifference curves.(d) Estimate from the graph what combination of leisure hours and income you would choose under these circumstances. What is the corresponding number of hours per week you would work?
Answer:
.............gcg................
Calculate the volume of the following shapes with the given information. For the first three questions, give each answer both in terms of and by using to approximate . Make sure to include units.
Sphere with a diameter of 6 inches
Cylinder with a height of 6 inches and a diameter of 6 inches
Cone with a height of 6 inches and a radius of 3 inches
How are these three volumes related?
Answer:
They all have PI π in the formulas
Step-by-step explanation:
The volume of Sphere is, [tex]36\pi inch^3[/tex].
The volume of Cylinder is, [tex]36\pi inch^3[/tex].
The volume of Cone is,[tex]18\pi inch^3[/tex].
What is volume?Volume is a measurement of three-dimensional space that is occupied. It is frequently expressed mathematically using imperial or SI-derived units. Volume and the notion of length are connected.
First to find the volume of Sphere.
Given a diameter of sphere is 6 inches.
So, the radius is 6/2 = 3 inches.
Volume of Sphere is,
[tex]V = \frac{4}{3} \pi r^3\\V = \frac{4}{3} \pi (3^3)\\V = 36\pi inch^3[/tex]
Now, to find volume of Cylinder.
Given: Height = 6 inch, diameter = 6 inch so, radius = 3 inch
Volume of cylinder is,
[tex]V = \pi r^2h\\V = \pi (3^2)6\\V = 36\pi inch^3[/tex]
Now, to find the volume of Cone.
Given: Height = 6 inch, radius = 3 inch
Volume of cone is,
[tex]V = \frac{h}{3} \pi r^2\\V = \frac{6}{3} \pi (3^2)\\ V = 18 \pi inch^3[/tex]
Therefore, the above the volume of Sphere and Cylinder are equal.
And the volume of Cone is half of the volumes of Sphere and Cylinder.
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answer quick please (2x2 + 5x - 7) + (3 - 4x2 + 6x)
Answer:
[tex] \frac{8}{11} [/tex]
Step-by-step explanation:
(4+5x-7)+(3-8+6x)=0
(-3+5x)+(-5+6x)=0
-8+11x=0
x=8/11
Answer:
Step-by-step explanation:
what makes an equation true?
Answer:
Step-by-step explanation:
An equation is true when certain values are able to be substituted for the variable which is most of the time "x", the values that make an equation true is when the answer has a solution.
What is the determinant of A = [ -2 2 -5 4 -1 -2 1 3 -5]
Answer:
-51
Step-by-step explanation:
[tex]\begin{vmatrix}-2&2&-5\\4&-1&-2\\1&3&-5\end{vmatrix}=\\=\mathsf{-10-4-60-5+40-12}=\\=\mathsf{-91+40}=\\=\mathsf{-51}[/tex]
Answer:
-51
Step-by-step explanation:
[tex]\left[\begin{array}{ccc}-2&2&-5\\4&-1&-2\\1&3&-5\end{array}\right] =1*\left[\begin{array}{ccc}2&-5\\-1&-2\end{array}\right] +(-3)*\left[\begin{array}{ccc}-2&-5\\4&-2\end{array}\right] +(-5)*\left[\begin{array}{ccc}-2&2\\4&-1\end{array}\right] =-9+(-72)+30=-9-72+30=-51[/tex]
Plz help me with my school work.
Answer:
∠HGB = 20°
∠ECD = 34°
∠GBH = 36°
∠FGH = 37°
Step-by-step explanation:
There are several useful rules regarding angles:
right angles are 90°the sum of angles in a triangle is 180°angles of a linear pair are supplementary (total 180°)vertical angles are congruentan exterior angle is equal to the sum of the remote interior anglesThis last observation is a consequence of the 2nd and 3rd observations.
__
angle ECD
Using the last observation, ∠ECD = 124° -90° = 34°.
angle HGB
Again, using the last observation, ∠HGB = 110° -90° = 20°.
angle GBH
There are at least a couple of ways to find this one. We assume that lines FB and EC are parallel, so angles HBC and ECD are corresponding, hence congruent. Angle GBC is the supplement of of 110°, so is 70°. Then ...
∠GBH = 70° -34° = 36°
angle FGH
Again, this angle can be found multiple ways. Here, we'll use the sum of angles in triangle FGB.
∠FGB +∠GBF +∠BFG = 180°
(∠FGH +∠HGB) +∠GBF +∠BFG = 180°
∠FGH +20° +36° +87° = 180°
∠FGH = 180° -143° = 37°
__
Least to greatest, the angles are ...
∠HGB = 20°
∠ECD = 34°
∠GBH = 36°
∠FGH = 37°
Grouping 12x3 – 9x2 + 4x - 3?
[tex]12x^{3} - {9x}^{2} + 4x - 3 = \\ = 3 {x}^{2} (4x - 3) + 1(4x - 3) = \\ = (4x - 3)( {3x}^{2} + 1)[/tex]
Answer:4x+15
Step-by-step explanation: PEMDAS. First you multiply 12x3 and 9x2 so you get 36-18. Then you subtract 18 from 36 leaving you with 18. Then you combine 18 and -3, leaving you with 4x-15.
On the day you were born, Uncle Peyton gave your parents a piece of sports memorabilia valued at
$75. If past trends continue, it should appreciate in value 12% per year. If you sell it on your 18th
birthday, what can you expect the sale price to be?
Answer:
$162
Step-by-step explanation:
12% of $75 is $9 Therefore,
$9 x 18 = 162 ( 18 being the years )
Hope this helps!!!
-Conrad
A community is building a square park with side is that measure 120 m to separate the picnic area from the play area the park is split by a diagonal line what is the approximate length of the diagonal line
Answer:
(120^2+120^2)^0.5 = 169.705m
Step-by-step explanation:
Pythagorean Theorem
Use the figure to complete the statements.
The area of the base, B, of the pyramid is cm2.
The volume of the pyramid is cm3.asap
Answer:
The area of the base, B, of the pyramid is 96 cm2
he volume of the pyramid is 320 cm3.
Step-by-step explanation:
Answer:
96 320
Step-by-step explanation:
Which equation represents the circle shown?
A. (x − 3)2 + (y − 3)2 = 4
B. (x − 3)2 + (y − 3)2 = 16
C. (x + 3)2 + (y + 3)2 = 4
D. (x + 3)2 + (y + 3)2 = 16
E. (x + 4)2 + (y + 4)2 = 3
B. (x-3)2+(y-3)2=16
Equation of circle is
(x-a)2+(y-b)2=r2
Select one of these options to each of these 6 question thar apply to
A .Slope formula
B. Given
C. Perpendicular lines intersect to form right angles.
D. Multiply.
E. Definition of right triangle
F. If the product of the slopes of two nonvertical lines is −1
the lines are perpendicular.
Answer:
1) Given
2) Slope Formula
3) Multiply
4) If the product of the slopes of two non vertical lines is -1, then the lines are perpendicular
5) Perpendicular lines intersect to form right angles
6) Definition of right triangle
ASAP! GIVING BRAINLIEST! Please read the question THEN answer CORRECTLY! NO guessing. Show your work OR give an explaination.
Answer:
(x -4)^2 +1
Step-by-step explanation:
For some f(x), a translation to the right by "h" and up by "k" transforms it to ...
g(x) = f(x -h) +k
You want your G(x) to be a translation 4 units right and 1 unit up from F(x), so you have ...
G(x) = F(x -4) +1
G(x) = (x -4)^2 +1
5 people are evenly sharing 12 kilograms of apples how many kilograms of apples should each person get
Answer:
2.4 kilograms
Step-by-step explanation:
Given: 5 people are evenly sharing 12 kilograms of apples
To find: quantity of apples that each person should get
Solution:
Use the unitary method to get the required answer.
Under unitary method, if the value of multiple items is given to us, divide the total value by the number of items to obtain the value of one item.
Quantity of apples for 5 people = 12 kilograms
Quantity of apples for 1 person = [tex]\frac{12}{5} =2.4[/tex] kilograms
So, each person should get 2.4 kilograms of apples.
Answer:
12/5 or 2 2/5
Step-by-step explanation:
We need to divide the 12 kilograms of apples by the 5 people sharing them, or 125
12 ÷ 5 = 12/5
12/5 = 5/5 + 5/5 + 2/5
= 1 + 1 + 2/5
= 2 2/5
Each person should get 12/5, or 2 2/5, kilograms of apple
what is this equation x2 – 2x – 6 in vertex form?
Answer:
In vertex form, the parabola's equation is y=(x−1)^2 +5.
Step-by-step explanation: