Answer:
The 95% confidence interval for the population mean mileage is
(27.917, 29.593)
The 98% confidence interval for the population mean mileage
(27.737, 29.762)
Step-by-step explanation:
Step(i):-
Given that the random sample size 'n' = 64
Given that the mean of sample x⁻ = 28.75miles
Given that the standard deviation of the sample (S) = 3.4 miles
Degrees of freedom = n-1 = 64-1 =63
t₀.₀₅ = 1.9983
Step(ii):-
95% confidence interval for the population mean mileage is determined by
[tex](x^{-} - t_{0.05} \frac{S}{\sqrt{n} } , x^{-} + t_{0.05} \frac{S}{\sqrt{n} })[/tex]
[tex](28.75-1.99\frac{3.4}{\sqrt{64} },28.75 + 1.99 \frac{3.4}{\sqrt{64} } )[/tex]
(28.75 - 0.845 , 28.75 + 0.845)
(27.917 , 29.593)
Step(iii):-
98% confidence interval for the population mean mileage is determined by
[tex](x^{-} - t_{0.02} \frac{S}{\sqrt{n} } , x^{-} + t_{0.02} \frac{S}{\sqrt{n} })[/tex]
[tex](28.75-2.3824\frac{3.4}{\sqrt{64} },28.75 + 2.3824 \frac{3.4}{\sqrt{64} } )[/tex]
(28.75 - 1.01252 , 28.75 + 1.01252)
(27.737 , 29.762)
Final answer:-
98% confidence interval for the population mean mileage is
(27.737 , 29.762)
consists of a formula a^2+b^2=c^2 which is used to figure out the value of (mostly) the hypotenuse in a right triangle. The a and b are the 2 "non-hypotenuse" sides of the triangle (Opposite and Adjacent).
Answer:
That is the pythagorean theorem.
7 (n+4) = 21
Please help me solve this
Answer: n = -1
Step-by-step explanation: distribute 7 to n +4 to get 7n +28 = 21
subtract 28 on both sides, to get 7n= -7 divide by positive 7, and get n=-1
plug it in to check 7(-1+4)=21
-1+4= 3
7(3)= 21
it checks out ^_^
Which of the following is the explicit rule for a geometric sequence de
a recursive formula of a = 138,- for which the first term is 7?
O A. an = 13.70-1
O B. an = 761301-1
O c. an= 7.130+1
D. an = 13.70+1
Of the 800 participants in a marathon 120 are running to raise money for a cause how many participants out of 100 are running for a cause
Answer:
15%
Step-by-step explanation:
Step-by-step explanation:
120 out of 800 are running for a cause. = 15 are running for a cause. 15 out of a 100 = 15%
The parent function f(x) = log3x has been transformed by reflecting it over the x-axis, stretching it vertically by a factor of two and shifting it down three units. which function is representative of this transformation?
g(x) = log3(-2x) - 3
g(x) = -2log3(x) - 3
g(x) = 2log3(x) + 3
g(x) = log3(2x) + 3
Answer:
f(x) = -2 log3x - 3.
Step-by-step explanation:
f(x) = log3x
Reflecting over x axis makes it f(x) = f(x) = -log3x
Vertical stretch gives -2 log3x
Finally moving the graph down 3 units gives -2 log3x - 3.
Two hundred and fifty-four people were surveyed regarding their favorite type of gemstone: 54% chose diamonds 6% chose sapphires 30% chose emeralds .. 10% rubies.Approximately, how many people did not choose emeralds or rubies?
Step-by-step explanation:
anyone GIRLS interested in talk...cuz I m getting bored
There were twelve times more children than adults at the matinee performance of the school play. There were 455 people at the play. How many adults and children were there?
Answer:
35 adults, 420 children
Step-by-step explanation:
1. Set up variables
Let's say children is c and adults is a.
2. Create the equations
c = 12a AND c + a = 455
3. Plug in the variables
Let's take c = 12a and substitute it in for c in the equation "c + a = 455." That would be...
12a + a = 455
13a = 455
a = 35
3. Plug in more variables
Now we have our answer for a, so let's plug it into the other equation. That would be...
c + a = 455
c + 35 = 455
c = 420
Use the function below:
trig graph with points at 0, 1 and pi over 2, 5 and pi, 1 and 3 pi over 2, negative 3 and 2 pi, 1
What are the amplitude and midline?
Amplitude: 5; midline: y = 1
Amplitude: 5; midline: y = 0
Amplitude: 4; midline: y = 1
Amplitude: 4; midline: y = 0
Answer:wwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwww
Step-by-step explanation:
amplitude 4 midline Y=1
fffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffff
Answer:
amplitude 4 midline Y=1
Step-by-step explanation:
I am taking the algebra two segment two exam
An orange traffic cone has a diameter of 14 inches and a height of 28 inches. What is the volume of the traffic cone? Round to the nearest tenth.
Answer:
14367 inch^3
Step-by-step explanation:
Diameter of the cone= 14 inches
Radius of the cone= Diameter/2= 14/2= 7 inches
Height= 28 inches.
Volume of the cone = 1/3 π r^2 .h
Then substitute for the values, we have
Volume= 1/3 × π × 7^2 × 28
Volume= 1436.9 inch^3
Volume in nearest tenth= 14367 inch^3
What is the best way to learn percentage?
Answer: To write a percentage as a decimal, simply divide it by 100. For example, 50% becomes 0.5, 20% becomes 0.2, 1% becomes 0.01 and so on. We can calculate percentages using this knowledge. 50% is the same as a half, so 50% of 10 is 5, because five is half of 10 (10 ÷ 2).
Step-by-step explanation:
The height of a rectangular prism is half its width. The width of the prism is 1··3o f its length. If the width of the prism is 3 centimeters, what is the volume?
Answer:
just have fun
Step-by-step explanation:
A university is applying classification methods in order to identify alumni who may be interested in donating money. The university has a database of 58,205 alumni profiles containing numerous variables. Of these 58,205 alumni, only 576 have donated in the past. The university has oversampled the data and trained a random forest of 100 classification trees. For a cutoff value of 0.5, the following confusion matrix summarizes the performance of the random forest on a validation set:
Predicted
Actual No Donation Donation
Donation 268 20
No Donation 5375 23439
The following table lists some information on individual observations from the validation set:
0.8
Observation ID Actual Class Probability of Donation Predicted Class
A Donation 0.8 No Donation
B No Donation 0.1 Donation
C No Donation 0.6 Donation
Compute the values of accuracy, sensitivity, specificity, and precision.
Answer:
Accuracy = 0.81
Sensitivity = 0.93
Specificity = 0.81
Precision = 0.047
Step-by-step explanation:
Given the confusion matrix :
Actual_______ Donation___ No Donation
Donation______ 268 (TP) _______ 20 (FN)
No Donation ___5375 (FP) _____23439 (TN)
Accuracy is calculated as :
(TP + TN) / (TP+TN+FP+FN)
(268 + 23439) / (268 + 23439 + 5375 + 20)
ACCURACY = (23707 / 29102) = 0.81
Sensitivity (True positive rate) :
TP ÷ (TP + FN)
268 ÷ (268 + 20)
268 ÷ 288 = 0.93
Specificity (True Negative rate) :
TN ÷ (TN + FP)
23439 ÷ (23439 + 5375)
23439 ÷ 28814
= 0.81
Precision :
TP ÷ (TP + FP)
268 ÷ (268 + 5375)
268 ÷ 5643
= 0.047
Translate the shape A four squares left and three squares up.
Answer:
A house but with a triangle on top
Step-by-step explanation:
Simplify the expression 6−2+5+4.
What value is an x worth
Answer:
The letter "x" is often used in algebra to mean a value that is not yet known. It is called a "variable" or sometimes an "unknown". In x + 2 = 7, x is a variable, but we can work out its value if we try! A variable doesn't have to be "x", it could be "y", "w" or any letter, name or symbol.
Step-by-step explanation:
A Leopoldo su Maestra l le pidió que calcular el perímetro de un rectángulo que tiene las medidas que se indican en el dibujo cuánto mide su perímetro
Answer:
Lo siento, no puedo ayudarte, porque esta resonancia es porque no tienes una imagen ni nada para que yo te ayude, lo siento, espero que tengas un buen día.
Step-by-step explanation:
What is the measure of Arc BA? An explanation would be much appreciated.
Answer:
m<BA = 180degrees
Step-by-step explanation:
First you must know that measure of <BA is 180 degrees and m<CD = m<BA
Since <CD = 16z - 12, hence;
180 = 16z - 12
16z = 180++12
16z = 192
z = 192/16
z = 12
Get <BA
m<BA = 16z - 12
m<BA = 16(12) - 12
m<BA = 192 - 12
m<BA = 180degrees
state three different between the fundamantal and derived quantities
Step-by-step explanation:
Derived=Depends on other quantities, obtained from product or division of fundamental quantities, exist a large number of derives units in the metric system
Fundamental=Independent, can't be expressed in terms of derived units, only seven fundamental units exist in the n metric system.
A statue on a shelf is recreated on a computer screen. The actual statue is 14 in tall and 4 in wide. The statue on the computer screen is 1.5 in wide. How tall is the statue on the computer screen?
Answer:
5.25 in tall
Step-by-step explanation:
4/1.5 = 8/3
14/(8/3)=5.25
The box plots show the lengths of the songs on two digital music players in Minutes
Which statement is supported by the info?
Pls explain!!!
Answer:
Step-by-step explanat
sorry i dont get it
A set of data was published in the fall 2019 Phi Kappa Phi Forum regarding the performance of Major League Baseball (MLB) umpires in calling balls and strikes. The article is based on data collected by MLB over eleven seasons (2008-2018). This study shows that it is common for umpires to make incorrect calls more than 20% of the time. An average game has about 300 pitches where the umpire has to make a decision. Assume that we take a random sample of 300 of the 4 million ball/strike calls in the database. From this sample of 300, there were 70 incorrect calls made for a sample proportion of.23. The question is does this one sample of size 300 with 70 incorrect calls provide sufficient evidence to allow us to conclude that the umpires are making bad calls at a rate greater than 20%?
Calculate the value of the Z test statistic using phat - 23 from the above description.
Answer:
The answer is "1.30".
Step-by-step explanation:
Proportion of population[tex]=0.20[/tex]
Ratio sample[tex]=\frac{70}{300}=\frac{7}{30}=0.23[/tex]
Statistics of the test:
[tex]\to Z=\frac{(0.23-0.2)}{\sqrt{(\frac{0.2\times(1-0.2)}{300})}}\\\\[/tex]
[tex]=1.30[/tex]
is a polygon with 4 sides and 4 angles
a. Triangle
b. Quadrilateral
c. Polygon
Answer:
Quadrilateral is a polygon with 4 sides and 4 angles
Answer:
Quadrilateral
=> hope it helps
Solve for x. Enter your answer in the box below as a fraction in lowest terms, using the slash (/) as the fraction bar.
6/9+x=7/10
Which equation could represent the following:
5 less than a number is 8.
On - 5 = 8
0 5 - n = 8
On + 5 = 8
0 5 + n = 3
Answer:
n - 5 = 8
Step-by-step explanation:
5 less than a number = a number subtracted by 5
Write "yes" or "no" to state whether or not the given side lengths would form a right triangle.
NO LINKS PLSSS
-will mark brainliest :)
Answer:
"yes" or "no"
Step-by-step explanation:
The area of Mammoth Cave NationalPark in Kentucky is about fifty-two thousand, eight hundred thirty and nineteen hundredths acres. Which shows this number of acres as a base ten numeral?
Answer:it’s the first one
Step-by-step explanation:
Prove Triangle congruence part 1
Answer:
there is five way to find that triangle is congruent. they are:
1. SAS axiom
2. SSS axiom
3. AAA axiom
4. ASA axiom
5. RHS axiom
I need help on this question please and thanks :)
Answer: a and b
Step-by-step explanation:
Answer:
a, b
Step-by-step explanation:
input, output = ordered pair
m = 3, y-int = 2
Find the surface area of this triangular prisim.And pls expliane how you got that answer aswell pls.:)
Answer:
[tex]756^{2}[/tex]
Step-by-step explanation:
To get the area of the triangle sides, we use the formula [tex]\frac{bh}{2}[/tex]
In words, this is base · height ÷ 2
After using this formula we find the surface area of the triangle sides is 54
Of course because there are two sides, we do 54 + 54 = 108
For the base of the prism, we do 12 · 18, which equals 216
For the back, we do 9 · 18, which equals 162
For the top, we do 15 · 18, which equals 270
Now that we have the individual areas of all the faces, we add them together. Doing this, we get [tex]756^{2}[/tex]
Type the correct answer in the box. Use numerals instead of words. If necessary, use / for the fraction bar.
Find the remainder of (x^4 - 2) divided by (x + 1).
Answer:
-1 is the remainder
hope it helps
Answer:
-1 is the remainder for this problem.
Step-by-step explanation:
Plato.