Answer:
81.5% of 1-mile long roadways with potholes numbering between 22 and 52
Step-by-step explanation:
The Empirical 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.
In this problem, we have that:
Mean of 42, standard deviation of 10.
The normal distribution is symmetric, so 50% of the measures are below the mean and 50% are above the mean
Approximate percentage of 1-mile long roadways with potholes numbering between 22 and 52:
22 = 42 - 2*10
So 22 is two standard deviations below the mean. Of the 50% of the measures that are below the mean, 95% are between two standard deviations below the mean(22) and the mean(42).
52 = 42 + 10
So 42 is one standard deviation above the mean. Of the 50% of the measures that are above the mean, 60% are between the mean(42) and one standard deviation above the mean(52).
In the desired interval, the percentage is:
[tex]P = 0.5*0.95 + 0.5*0.68 = 0.815[/tex]
81.5% of 1-mile long roadways with potholes numbering between 22 and 52
Sir Ronald Aylmer Fisher was an English statistician, evolutionary biologist, and geneticist who worked on a data set that contained sepal length and width (in millimeters), and petal length and width (in millimeters) from three species of iris flowers (setosa, versicolor and virginica). There were 57 flowers from each species in the data set. . The first six rows of the data set are shown below:
Sepal Length Sepal Width Petal Length Petal Width Species
5.3 3.7 1.5 0.2 Setosa
6.4 2.9 4.3 1.3 Versicolor
4.9 3 1.4 0.2 Setosa
5.8 2.7 5.1 1.9 Virginica
7.2 3.6 6.1 2.5 Virginica
6.7 3.3 5.7 2.1 Virginica
1. How many cases were included in the data?
2. How many numerical variables are included in the data?
3. The numerical variables are: ______
a. all continuous
b. a mixture of continuous and discrete
c. all discrete
Answer:
171
4 numerical variables (Sepal Length ; Sepal Width ; Petal Length ; Petal Width)
All four numerical variables are continous.
Step-by-step explanation:
Number of cases = Number of species * number of flowers per species
Number of cases = 3 * 57 = 171 cases
B.) Numerical variables are those variables which are quantitative in nature, that is they are made of numbers which are capable of being used for mathematical computation in a dataset such as maximum, minimum, mean and slither statistical measures.
C.) All for variables are continous as they are capable of taking up unlimited number of values within its range, including decimal values. Hence they are not finite. Continous numberical variables include, length, height, width and as given in the scenario below, they are all continous.
if you have 63 books and you donate 1/3 of you’re books how many will you have left
Answer: 42
Step-by-step explanation: you would do 63 divided by 3 then you would get 21 and do 21×2 and get 42
We drop a 0.1 kg apple 1 m.What is its potential energy?
Answer:
392 N/m
Step-by-step explanation:
We know that the total mechancial enery will be conserved from when the apple drops to when it hit the spring. Therefore, we can set the potential energy of the apple equal to the elastic potential energy of the spring.
PE = mgh and SE = 1/2kx² — PE is the initial potential energy of the apple and SE is the elastic potential energy of the spring.
mgh = 1/2kx². (.1)(9.8)(2) = (1/2)(k)(.1²), solve for k. k = 392
QUICK!!!! BRAINLIEST GETS 40 POINTS
Answer:
i think it is c
Step-by-step explanation:
plz give brainliest.....
Answer:
3
Step-by-step explanation:
We list the numbers from least to greatest
19, 23, 30, 33, 34, 40, 49, 50, 59, 67
The current median is 37
if you add 58, it would be
19, 23, 30, 33, 34, 40, 49, 50, 58, 59, 67
so the median changes to 40
40-37=3
what are numeric expressions
Answer:
expressions written in numbers
Can someone help me with this both parts btw
Answer:
It is c-88=405 trust me :D
Step-by-step explanation:
*whispers* It doesn't hurt to give brainliest, I only need one more for my next tier, can I have it?
Answer:
c-88=405 c=493
Step-by-step explanation:
I need help please!!! ASAPPP
Answer:
r^1/4
Step-by-step explanation:
Please help easy in urgent Extra points and Mark brainlist
Answer:
-3/-2 is the correct answer
Step-by-step explanation:
i have done this stuff before so it is that because the two negatives becomes one
is the relation show in the table a function explain
The linear scale factor of two similar solids is given. Then the surface area and volume of the smaller figure are also given. Find the surface area and volume of the large figure.
Scale factor: 5:8
Surface area: 475
volume: 1125
Surface area: ?
volume: ?
Answer:
Surface area: 1216
Volume: 4608
Step-by-step explanation:
Scale factor: 5:8
This means that the dimensions of the larger figure are 8/5 of those in the smaller figure.
Surface area:
The surface area is found multiplying the square of the change(8/5) by the original surface area(475). So
[tex]S = (\frac{8}{5})^2 \times 475 = \frac{64}{25} \times 475 = 64 \times 19 = 1216[/tex]
Volume:
The volume is found multiplying the cube of the change(8/5) by the original volume(1125). So
[tex]S = (\frac{8}{5})^3 \times 1125 = \frac{512}{125} \times 1125 = 512 \times 9 = 4608[/tex]
HELP ME ITS DUE IN 15 MINS
Answer:
c.
Step-by-step explanation:
continuous and linear.
How many seconds will it take to drive to San Francisco from Los Angeles if an average speed of 67.0 mi/hr is maintained
Answer:
Approximately 20525 seconds
Step-by-step explanation:
Distance between San Francisco and Los Angeles is not given.
Therefore, by using I-5 S, distance between these cities = 381.6
≈ 382 miles
Formula for the average speed is,
Average speed = [tex]\frac{\text{Distance traveled}}{\text{Time taken}}[/tex]
Time taken to reach San Francisco from Los Angeles = [tex]\frac{\text{Distance traveled}}{\text{Average speed}}[/tex]
= [tex]\frac{382}{67}[/tex]
= 5.702 hours
≈ 5 hours 42 minutes
≈ 342.1 minutes
≈ 20525 seconds
A triangle abc has angle measurement of 45, 45 and 90 and two congruent sides is
Answer:
Step-by-step explanation:
The two congruent sides make the triangle isosceles.
Solve −14x=7
714
−1
−74
−28 help me pls
Answer:
= - 1/2
and there you the answer
I need help with this radius and diameter
Answer:
Step-by-step explanation:
the diameter of this circle is 7.4 km
the radius of this circle is 7.4 km/2=3.7 km
second choice
solution:
d = 7.4 km
r = d/2
= 7.4/2 km
= 3.7 km
A. (0,3)
B. (0,1)
C. (0,1)
D. (0,2)
Answer:
c
Step-by-step explanation:
Help!!
State two ways that you could use a slope of -5/3 to graph a line.
Answer:
rise/run
Step-by-step explanation:
-5 how high/ low you go on y axis
3 how far you move left on the graph
The two ways that could use a slope of -5/3 to graph a line are;
-5 high/ low and go on the y-axis and 3 when moving left on the graph
What is the slope?The slope is the ratio of the vertical changes to the horizontal changes between two points of the line.
The more the slope of the line, the more the line is vertical. When the slope is zero, then the line is horizontal.
To determine the slope, we take the ratio of how much the line's height increases as we go forward or backward on the horizontal axis.
If two lines are given as perpendicular to each other, then their slopes are negative reciprocals of each other. which means, if one line's slope is 'a', then its perpendicular line's slope would be -1/a
A Slope of a straight object is the ratio of how much amount of rise occurs in correspondence to the increment in the run.
The two ways that could use a slope of -5/3 to graph a line are;
-5 high/ low and go on the y-axis and 3 when moving left on the graph
Learn more about slope here:
https://brainly.com/question/2503591
#SPJ2
If (p, q) is the solution to the system of equations, what is the value of q?
−16p − 2q = 100
p − 4q = 200
Answer:
The solution to the system of equations
p = 0q = -50Hence, the value of q = -50
Step-by-step explanation:
Given the system of equations
[tex]\begin{bmatrix}-16p-2q=100\\ p-4q=200\end{bmatrix}[/tex]
solving to determine the value of q
Multiply p − 4q = 200 by 16: [tex]16p-64q=3200[/tex]
[tex]\begin{bmatrix}-16p-2q=100\\ 16p-64q=3200\end{bmatrix}[/tex]
so adding the equations
[tex]16p-64q=3200[/tex]
[tex]+[/tex]
[tex]\underline{-16p-2q=100}[/tex]
[tex]-66q=3300[/tex]
so
[tex]\begin{bmatrix}-16p-2q=100\\ -66q=3300\end{bmatrix}[/tex]
solve -66q = 3300
[tex]-66q=3300[/tex]
Divide both sides by -66
[tex]\frac{-66q}{-66}=\frac{3300}{-66}[/tex]
[tex]q=-50[/tex]
substituting q = -50 in −16p − 2q = 100
[tex]-16p-2\left(-50\right)=100[/tex]
[tex]-16p+100=100[/tex]
Subtract 100 from both sides
[tex]-16p+100-100=100-100[/tex]
Simplify
[tex]-16p=0[/tex]
Divide both sides by -16
[tex]\frac{-16p}{-16}=\frac{0}{-16}[/tex]
[tex]p=0[/tex]
Thus, the solution to the system of equations
p = 0q = -50Hence, the value of q = -50
find the median, range and mode of this numbers 3,6,9,7,4,6,7,0,7
Answer:
7
Step-by-step explanation:
Answer:
Median- 6
Range- 9
Mode- 7
Step-by-step explanation:
Put the numbers in order:
0 3 4 6 6 7 7 7 9
plz only answer if you know :(( i’m stuck
Answer:
y = 12.3 cm
Step-by-step explanation:
yw honey
Dagne measures and finds that she can do a vertical jump that is 27.5% of her height. If
Dagne can jump 13.2 inches, how tall is she?
i will give brainliest
Answer:
I believe the answer is 3.63 but sorry if i am wrong
Step-by-step explanation:
27.5 x 13.2 = 363
363/100= 3.63ft
The height of Dagne is 48 inches. And, She can do a vertical jump that is 27.5% of her height. Therefore, she can jump 13.2 inches vertically
The random variable X is exponentially distributed, where X represents the time it takes for a person to choose a birthday gift. If X has an average value of 25 minutes, what is the probability that X is less than 28 minutes
Answer:
0.674
Step-by-step explanation:
Given that :
Average value (m) = 25
P(x < 28) = ∫1/m * e^-x/m (interval 28 to 0)
P(x < 28) = ∫1/25 * e^-x/25 (interval 28 to 0)
P(x < 28) = 1/25( (e^-x/25) / (- 1 / 25))(interval 28 to 0)
1/25( (e^-x/25) * (- 25/ 1)) (interval 28 to 0)
(e^-x/25) x = 28 ; x = 0
e^(-0/25) - e^(-28/25)
e^0 - e^(-28/25)
1 - 0.3262797
= 0.6737202
= 0.674
(4+g)(-11)=121 pls show work whoever has answers first with right answer gets brainliest
Answer:
g = -15
Step-by-step explanation:
First, you are going to want to divide by -11 on both sides of the equation.
— (4 + g) (-11) / -11 = 121 / -11
— 4 + g = -11
(Note: dividing a positive number by a negative number will result in a negative number.)
Next, subtract 4 from both sides of the equation.
— 4 + g - 4 = -11 - 4
— g = -15
So, assuming you are looking for the value of g, you're answer is g = -15
Is 94 − –3 positive or negative?
Answer:
positive ! the answer would be 97
Step-by-step explanation:
since you are subtracting a negative ( - - ) that automatically makes the answer positive. anytime you see subtraction sign next to a negative sign, you add !! (94 + 3 = 97! )
Transversal t intersects lines a, b, c to form 12 angles. The angles formed with line a, clockwise from top left, are 1, 2, 4, 3. The angles formed with line b, clockwise from top left, are 5, 6, 8, 7. The angles formed with line c, clockwise from top left are 9, 10, 12, 11. For the diagram shown, select the angle pair that represents each angle type. Corresponding angles angle 7 and angle 3 Alternate exterior angles Alternate interior angles Vertical angles
Answer:
corresponding angles: 7 and 3
alternate exterior angles: 12 and 5
alternate interior angles: 2 and 11
vertical angles: 7 and 6
Step-by-step explanation:
corresponding angles: 7 and 3
alternate exterior angles: 12 and 5
alternate interior angles: 2 and 11
vertical angles: 7 and 6
The selection of angle pairs that represent each angle should be shown below.corresponding angles: 7 and 3 = In this, the pairs of angles should be found in a similar position on various intersections.
alternate exterior angles: 12 and 5 = This should be said when two angles lie on the inverse sides of the transversal and should be placed on two distinct lines.
alternate interior angles: 2 and 11 = In this, angles are created at the time when a transversal intersects two coplanar lines.
vertical angles: 7 and 6 = It is the pair of opposite angles created by intersecting lines
in this way, it should be chosen or selected.
Learn more about angle here: https://brainly.com/question/16691411
Find the common ratio for the following sequence:
12, 3, 3/4, 3/16, 16
I think that the common ratio is 4.
Help me please will give brainliest
1) 1. What is the vertex of the graph of the function f(x) = x2 – 8x + 5?
Raymond planted a vegetable garden containing 50 plants. There were 15 tomato
plants, 10 green bean plants, 5 pepper plants, 12 zucchini plants, and 8 cucumber
plants.
Use the percent that you find and multiply each times 360° to find the number of
degrees for each sector of a circle graph based on this data.
Answer:
Of all the different things I preserve, tomatoes are far and away the most-used garden ingredient in my household; it seems I'm constantly I need to know – roughly – how many tomato plants will yield enough fruit to fill my cupboards. let's assume I can get 10-15 pounds of tomatoes from each plant.
Step-by-step explanation:
Answer:its b
Step-by-step explanation:
Ms Miller is Turning 100 years old today. She has 24 grandchildren. If all of her grandchildren bring 6 roses each how many roses will Ms . Miller receive
Answer:
144
Step-by-step explanation:
24 times 6 equals 144