Answer:14.5
Step-by-step explanation:
The alternating current (AC) breakdown voltage of an insulating liquid indicates its dielectric strength. The article "Testing Practices for the AC Breakdown Voltage Testing of Insulation Liquids" (IEEE Electrical Insulation Magazine, 1995: 21–26) gave the accompanying sample observations on breakdown voltage (kV) of a particular circuit under certain conditions.
62 50 53 57 41 53 55 61 59 64 50 53 64 62 50 68
54 55 57 50 55 50 56 55 46 55 53 54 52 47 47 55
57 48 63 57 57 55 53 59 53 52 50 65 60 50 56 68
a. Construct a boxplot of the data and comment on interesting features.
b. Calculate and interpret a 95% CI for true average breakdown voltage m. Does it appear that m has been precisely estimated? Explain.
c. Suppose the investigator believes that virtually all values of breakdown voltage are between 40 and 70. What sample size would be appropriate for the 95% CI to have a width of 2 kV (so that m is estimated to within 1 kV with 95% confidence)?
Answer:
(53.50 ; 56.75)
127
Step-by-step explanation:
Given the data:
41, 46, 47, 47, 48, 50, 50, 50, 50, 50, 50, 50, 52, 52, 53, 53, 53, 53, 53, 53, 54, 54, 55, 55, 55, 55, 55, 55, 55, 56, 56, 57, 57, 57, 57, 57, 59, 59, 60, 61, 62, 62, 63, 64, 64, 65, 68, 68
Using calculator :
Standard deviation, s = 5.74
Mean, m = 55.125
Sample size, n = 48
95% confidence interval :
Zcritical at 95% = 1.96
Mean ± Zcritical* s/sqrt(n)
55.125 ± 1.96 * 5.74/sqrt(48)
Lower boundary :
55.125 - 1.96(0.8284976) = 53.50
Upper boundary :
55.125 + 1.96(0.8284976) = 56.75
(53.50 ; 56.75)
Sample size, n :
n = [(Zcritical * s) / Error margin]²
Error margin = 1
Zcritical at 95% = 1.96
s = 5.74
n = [(1.96 * 5.74) / 1]²
n = 11.2504²
n = 126.57
n = 127
Which one is greater 9/11 or 4/5
This is really easy please help
Answer:
9/11 = 45/55
4/5 = 44/55
Obviously, 45 is more than 44, so 9/11 is greater than 4/5.
Let me know if this helps!
Connor can travel 2 3/4 miles in 2 1/2 hours. What is his average speed in miles per hour?
Evaluate 11.3p + 10.7r when p = 3 and r = 4
Answer is in the photo. I can't attach it here, but I uploaded it to a file hosting. link below! Good Luck!
tinyurl.com/wpazsebu
Consider the following series. 1 5 1 10 1 15 1 20 1 25 Determine whether the series is convergent or divergent. Justify your answer. Converges; the series is a constant multiple geometric series. Converges; the limit of the terms, an, is 0 as n goes to infinity. Diverges; the limit of the terms, an, is not 0 as n goes to infinity. Diverges; the series is a constant multiple of the harmonic series.
Answer:
The series Diverges ; The series is a constant multiple of harmonic series
Step-by-step explanation:
The series :
1/5 + 1/10 + 1/15 + 1/20 + 1/25
The series can be expressed as :
a1 = 1 / 5*1
a2 = 1 / 5*2
a3 = 1 / 5*3
a4 = 1 / 5*4
a5 = 1 / 5*5
hence we can write a[tex]_{n}[/tex] as ; a
attached below is the remaining part of the solution
Someone help me please.
Answer:
I think the answer is 1,370 , not sure .
Joe has 16 pounds of fertilizer for his three gardens. He uses ⅜ of the fertilizer in his first garden and ¼ of the fertilizer in his second garden. What fraction of the fertilizer is left for the third garden? *
Answer:
3/8
Step-by-step explanation:
3/8 of 16 is 6
1/4 of 16 is 4
6+4 = 10
16-10 = 6
3/8 of 16 = 6
Hiram asked his math class “How many pets do you own?” He graphed the results on the line plot. Which is the best description of the data?
a. Themedianis2.5,thedistributionissymmetrical,andtherearenogapsoroutliers.
b. Themodeis2,thedataisskewedtotheright,andthereisagapfrom3-4.
c. The range is 7, there is a peak at 5, and 6, 7, and 0 are outliers.
d. Themeanisabout3.1,therearenogapsoroutliers,apeakat2,andthedataisnot
symmetrical.
Answer:
I'm pretty sure, D.
Step-by-step explanation:
Going off the graph I was given, there was a peak at 2. There are no outliers. The data is also not symmetrical.
can i get help pls ?????
Answer:
The number of bacteria in the culture after 6 days.
The range of F(x) = 6x3^x is all positive real numbers,
Bryson recorded the following ages of family members at his grandmother's birthday party: 72, 28, 16, 8, 4, 12, 80, 93, 37, and 50. What is the mean absolute deviation of the ages of the people at the party?
100
Step-by-step explanation:
Describe how an equation in three variables can be represented as a function and as a graph
Two-variable equations/single-variable functions
When some variable depends in some way or another on another variable or variables, we say that it's a function of those other variables. In the simplest case, we can have a function of a single variable. The relationship "y is twice as big as x" describes y as a function of x, and we can express it with the function y = 2x. A graph of this function requires two dimensions, with one axis for each variable (see the first picture). Notice that while y is a function of a single variable, it's a part of an equation in two variables.
Three-variable equations/two-variable functions
Let's take a look at an equation of three variables - for this example, the equation [tex]-2x+y-z=0[/tex]. Currently, this is an example of an implicit function; there's a relationship between the variables, but the equation's form doesn't favor any one in particular. To make this a function, we can add z to both sides, giving us the new equation:
[tex]z = -2x+y[/tex]
Here, z is now a function of both x and y. We can pick whatever value we'd like for x and y, and those choices will fix a certain value of z. For instance, picking x = 1 and y = 2 gives us [tex]z=-2(1)+2=-2+2=0[/tex].
To graph this function, we now need 3 dimensions and 3 axes: an x-axis, a y-axis, and z-axis. See the second photo for a graph of this function.
TL;DR: An equation in three variables can be represented as a function by solving for one of the variables, and graphed in three dimensions, with one axis for each variable.
If YV = 28 in, find the length of the major arc VYX. Round to the nearest tenth ( one decimal place).
Answer:
[tex]VYX=84.3in[/tex]
Step-by-step explanation:
Given
[tex]YV = 28in[/tex]
[tex]\angle WZX = 15^\circ[/tex]
See attachment
Required
Determine the length of [tex]VYX[/tex]
First, calculate the major angle VZX
[tex]\theta = \angle VZX = 360 - \angle WZX[/tex]
[tex]\theta = \angle VZX = 360 - 15[/tex]
[tex]\theta = \angle VZX = 345[/tex]
[tex]\theta = 345[/tex]
The length of arc VYX, is:
[tex]L=\frac{\theta}{360} * 2\pi r[/tex]
Where
[tex]r = \frac{1}{2} * Diameter[/tex]
[tex]r = \frac{1}{2} * YV[/tex]
[tex]r = \frac{1}{2} * 28[/tex]
[tex]r = 14[/tex]
So:
[tex]L=\frac{\theta}{360} * 2\pi r[/tex]
[tex]L=\frac{345}{360} * 2 * \frac{22}{7} *14[/tex]
[tex]L=\frac{345}{360} * 2 * 22 *2[/tex]
[tex]L=\frac{345* 2 * 22 *2}{360}[/tex]
[tex]L=\frac{30360}{360}[/tex]
[tex]L=84.3in[/tex]
Hence, the length of VYX is:
[tex]VYX=84.3in[/tex]
12. Si R(x)=-5x2+x-2 y S(x)=-x - 3x, se
¿cuál es el resultado de R(x) + S(x) ?
Answer:
El resultado eres: [tex]R(x) + S(x) = -6x^2 - 2x - 2[/tex]
Step-by-step explanation:
Se dan las siguientes funciones
[tex]R(x) = -5x^2 + x - 2[/tex]
[tex]S(x) = -x^2 - 3x[/tex]
Cuál es el resultado de R(x) + S(x) ?
Se soman los fatores en comun. Entonces:
[tex]R(x) + S(x) = -5x^2 + x - 2 + (-x^2 - 3x) = -5x^2 + x - 2 - x^2 - 3x = -5x^2 - x^2 + x - 3x - 2 = -6x^2 - 2x - 2[/tex]
El resultado eres: [tex]R(x) + S(x) = -6x^2 - 2x - 2[/tex]
The high temperatures for a week are shown. 15°, 34°, 17°, 15°, 16°, 8° Which measure of center, mean or median, would BEST represent the data?
Hey there!
The mean would probably best represent the data.
This is because the mean of data is the average, which would show what the average temperature throughout the week was.
Have a super awesome day! :)
Please help I’ll mark Brainly please read the ? Before you answer it don’t say solve
Answer:
6v+10
Step-by-step explanation:
hope this helped
can also write 6*v+10
Susan has 11 pieces of pizza. If each piece is 1/8 of a pizza, what mixed number describes how much pizza Susan has?
Answer:
11 1/8
Step-by-step explanation:
Answer:
it's 11/8
Step-by-step equation:
you have eleven out of eight pizza slices
All of the items in a bicycle shop are on sale for 30% off the regular price. Rene spends $74.90 to buy a bicycle and a
helmet (without taxes). If the regular price of the bicycle is $85, which equation can be used to find the regular price of the
helmet, h?
0.3(74.90+ h) - 85
0.3(85+) - 74.90
0.7(74.90+h) - 85
0.7(85+1) - 74.90
Answer:
0.7(85+)-74.90
Step-by-step explanation:
Answer:
D - 0.7(85+)-74.90
Step-by-step explanation:
Got 100% on the quiz! Have a good day!! :)
HELP ASAP I WILL GIVE BRAINLYIST
Answer:
1,728cm squared
Step-by-step explanation:
1. Break the Composite Figure into smaller shapes such as, rectangles, triangles, and squares.
2. Use the area formula for rectangles, triangles, and squares to find the area of each smaller shape.
3. Add the area of the smaller shapes together to get the area of the entire Composite Figure.
Hope this is correct and helps :[]).
IF U DONT KNOW ANSWER THEN DONT ANSWER SIMPLE!
A hotel has a square lobby. Management wants to reserve a smaller square area in stone to serve as the base of a new seating area. The side length of the seating area will be four meters less than the side length of the lobby, as shown below. After purchasing materials, the manager noticed that two times the area of the seating area was equal to 16 square meters less than the area of the entire lobby. Write and solve a system of equations to determine the dimensions of the whole lobby and the smaller seating area cutout. A. The lobby is 8 meters by 8 meters, and the seating area is 4 meters by 4 meters. B. The lobby is 10 meters by 10 meters, and the seating area is 6 meters by 6 meters. C. The lobby is 12 meters by 12 meters, and the seating area is 8 meters by 8 meters. D. The lobby is 6 meters by 6 meters, and the seating area is 4 meters by 4 meters.
Answer:
C
Step-by-step explanation:
Use a graph to figure this out it will be as easy as eating a cake then
Hope this helps
in OPQ, the measure of Q=90°, the measure of O=48°, and QO = 4.9 feet. Find
the length of PQ to the nearest tenth of a foot.
please help ne
∠ O ≈ 42.7°
Step-by-step explanation:
Using the cosine ratio in the right triangle
cos O = = = , thus
∠ O = ( ) ≈ 42.7° ( to the nearest tenth )
Can I have brainliest
Which of the following situations describes a transformation of kinetic energy to potential energy?
OA a soccer player kicks a ball
OB
a roller coaster goes up an incline
C.
a light bulb is lit by a battery
OD
a marshmallow is toasted in a camp fire
Answer:
c
Step-by-step explanation:
*The rectangle has a perimeter of 38 meters.
*The length of the rectangle is 5 meters more
than the width.
What is the length and the width of the
rectangle?
Perimeter:
Length:
Answer:
Width of the rectangle = 7 meters
Length of the rectangle = 12 meters
Step-by-step explanation:
Perimeter of a rectangle = 2(length + width)
Perimeter of the rectangle = 38 meters
Width of the rectangle = w
Length of the rectangle = w + 5
Perimeter of a rectangle = 2(length + width)
38 = 2{(w + 5) + w}
38 = 2(w + 5 + w)
38 = 2(2w + 5)
38 = 4w + 10
38 - 10 = 4w
28 = 4w
w = 28/4
w = 7 meters
Width of the rectangle = w
= 7 meters
Length of the rectangle = w + 5
= 7 + 5
= 12 meters
compare 1/3 and 2/5?
Answer:
2/5 is bigger
5/15 and 6/15 (comparison)
Answer:
1/3>2/5
Step-by-step explanation:
Prepare a graph with the X axis range from -300 to +100 °C and Y axis from 0 to 9 cm.
Answer: (Attached)
Graphic below is the answer to your question.
Multiple three hundred and seventy by forty three
Step-by-step explanation:
15910
hope it helps
thanks a lot
What is 0.64 divided by 248?
Answer:
0.00258064516
Step-by-step explanation:
Answer:
0.64 divided my 248 = 0.00258064516129
the problem is set up incorrectly what you should have put is 248 divided my 0.64 the answer to that is = 387.5
Your welcome!
Step-by-step explanation:
Find the missing angle according to the Triangle Sum Theorem.
Answer:
k = 140 degrees.
The missing INTERIOR angle is 40 degrees.
Step-by-step explanation:
The missing interior angle would be 40.
Triangle angle sum theorem states the 3 interior angles of a triangle sum to 180.
64+76+40 = 180
The exterior angle theorem states the exterior angle of a triangle is equal to the sum of the two remote interior angles of the triangle.
Exterior angle k = 64+76
k= 140
The dimensions of a right rectangular prism are 1.5 cm, 0.5 cm and 2.25 cm.
What is the volume of the prism?
Answer:
3 dimensions
Step-by-step explanation:
Community population had increased 13% from 1980 to 2000. If the population in 1980 was 1200, what was the population in 2000?
Answer: 1,356
Step-by-step explanation:
It is 1200 increased by 13%