Answer:
(62.66 ; 67.34)
Step-by-step explanation:
Given the data:
86 28 34 99 77 49 50 43 34 70 42 90 87 68 67 72 87 94 47 76
Using a calculator :
Sample mean, xbar = 65
Sample. Standard deviation s = 22.35
Confidence interval :
Xbar ± standard Error
Standard Error = Tcritical * s/√n
TCritical at 95%, df = 19 = 2.093
Standard Error = 2.093 * (22.35/√20) = 2.339
Lower boundary = 65 - 2.339 = 62.661
Upper boundary = 65 + 2.339 = 67.339
(62.661 ; 67.339)
(62.66 ; 67.34)
question 1. The sticker price of a picture frame is $10 and the sales tax is 10%. What is the total price of the picture frame?
question 2. The sticker price of a soccer ball is $39.99 and the sales tax is 8%. What is the total price of the soccer ball?
question 3. The sticker price of a soccer ball is $39.99 and the sales tax is 8%. If I bought 3 soccer balls, what is the total price paid including tax?
!NO EXPLANATION NEEDED! just need all of these answered!
Answer:
1: $11
2: $43.19
3: $128.57
Step-by-step explanation:
10 • 1.10 = 11
39.99 • 1.08 = 43.19
43.19 • 3 = 128.57
Given that f(x)=x^3, which equation describes the graph of function g?
a. g(x)=f(x-3)+3
b. g(x)=f(x-3)-3
c. g(x)=f(x+3)+3
d. g(x)=f(x+3)-3
Answer:
A or g(x) = f(x − 3) + 3
Step-by-step explanation:
Two circles are concentric. Two arcs are formed by the same central angle, with arc lengths of 54 and 81 respectively. Which of the following are possible radii for the circles? Select the two correct answers.
23 and 32
12 and 18
32 and 64
40 and 60
14 and 41
Answer:
i think the answer is 12 and 18
(Algebra 2) help me please:( no links I will report please help me out )!!!
Answer:
The answer should be $57000(1.025)²⁰ = $93,401
Step-by-step explanation:
sum of two numbers is 5 while the difference of the two numbers is 6 find the two numbers
Answer:
Suppose the one number be x
And the other number be 6x
The sum of two numbers is 5
x+6x=5
7x=5
X=5/7
Therefore
One number be 5/7
And other number be 6 * 5/7=30/7
If you are helped with my answer pls tag me brianliest I really want it
THANK YOU...............
The final exam grade distribution for all students in the introductory statistics class at a local community college is displayed in the table, with A = 4, B = 3, C = 2, D = 1, and F = 0. Let X represent the grade for a randomly selected student from the class.
What is the standard deviation of the distribution?
A) 1.16
B) 1.08
C) 1.41
D) 2.98
The standard deviation of the distribution is 1.08.
Option B is the correct answer.
What is a standard deviation?The standard deviation measures how spread out the data is from the mean, and it is a measure of the average distance of the data points from the mean.
We have,
To find the standard deviation of the distribution, we first need to calculate the expected value (mean) of X.
The expected value of X is:
E(X) = (4)(0.4) + (3)(0.32) + (2)(0.17) + (1)(0.08) + (0)(0.03)
= 1.6 + 0.96 + 0.34 + 0.08 + 0
= 2.98
Next, we need to calculate the variance of X:
Var(X) = (4 - 2.98)²(0.4) + (3 - 2.98)²(0.32)
+ (2 - 2.98)²(0.17) + (1 - 2.98)²(0.08) + (0 - 2.98)²(0.03)
= 0.64(0.4) + 0.0004(0.32) + 0.7921(0.17) + 5.4084(0.08) + 8.6404(0.03)
= 0.256 + 0.000128 + 0.134257 + 0.432672 + 0.259212
= 1.082
The standard deviation of X is the square root of the variance:
So,
SD(X) = √(Var(X))
= √(1.082)
= 1.04 (approximately)
Thus,
The standard deviation of the distribution is 1.08.
Learn more about standard deviation here:
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What is the missing number in the synthetic division problem below?
A. 9
B. 8
C. -7
D. 2
Point 4,6 is reflected across line y= X and then dilated by a factor of 1/2 using the origin as the center of dilation. What is the resultant point?
9514 1404 393
Answer:
(3, 2)
Step-by-step explanation:
Reflection across y=x swaps the coordinates:
(x, y) ⇒ (y, x)
Dilation by a factor of 1/2 multiplies each coordinate by 1/2.
(x, y) ⇒ (x/2, y/2)
The combination of these transformations gives you ...
(x, y) ⇒ (y/2, x/2)
(4, 6) ⇒ (3, 2)
PLEASE HELP I WILL GIVE BRAINLIEST!!!
A graphic designer creates a logo in the shape of an ellipse. The equation x^2/64 + y^2/14.44 = 1, with units in centimeters,
represents the outer edge of the logo. How tall is the logo?
a. 3.8 cm
b. 7.6 cm
c. 8 cm
d. 16 cm
Using the equation of ellipse, the height of the logo is 7.6cm
What is equation for ellipse?The equation of ellipse having a center (h, k) is given as;
[tex]\frac{(x - h)^2}{a^2} + \frac{(y - k)^2}{b^2} = 1[/tex]
where a is the semi-major axis and b is the semi-minor axis. The major axis is the longer of the two axes, and the minor axis is the shorter of the two axes. The center of the ellipse is the point (h, k).
The graph of an ellipse is a closed curve that is similar to a circle, but it is not a circle. The ellipse is wider than it is tall if a > b, and it is taller than it is wide if a < b.
In the given problem;
The equation for an ellipse is
[tex]\frac{x^2}{a^2} + \frac{y^2}{b^2} = 1,[/tex] where a is the semi-major axis and b is the semi-minor axis. In this case, a = √64 = 8 and b = √14.44 = 3.8
Since b = 3.8, the height of the logo = 2b = 2 * 3.8 = 7.6cm
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What is the measure of angle AXG
Answer:
180°
Step-by-step explanation:
it's half of a circle
The angle AXG is a straight line. The measure of a straight line would be 180
The measure is 180
What is the circumference of circle P in terms of pi (3.14)
A. 4cm
B. 8 cm
C. 16 cm
D. 64 cm
You come across a box of perfume what should you do Amazon
The ratio of dogs to cats is 7:2. Why is the ratio of dogs to 8 cats?
Answer:
28
[tex]\frac{7}{2} \\\\\frac{x}{8}[/tex]
[tex]2 * x = 8\\x = 4[/tex]
[tex]7 * 4 = x\\x = 28[/tex]
PLZZ GIVE BRAINLIEST
HELP
Which Trig ratio should be used to find the missing side?
A.Sin
B.Cos
C.Tan
Answer:
It's Cos again.
Thumbs-up
the parent cosine function is transformed to create the function m(x) =-2cos(x+π). which graphed function has the same amplitude as function m
Answer: Graph D
Step-by-step explanation: Got it right on plato
The graph of a function with the same amplitude as m(x) is graph D.
Which graphed function has the same amplitude as m(x)?
The general cosine function is written as:
f(x) = A*cos(kx) + M
Where A is the amplitude, k is the angular frequency, and M is the midline.
In our case:
m(x) = -2*cos(x+π).
The amplitude is -2, which means that the distance between a peak and a trough must be twice the absolute value of the amplitude:
2*|-2| = 4
With this in mind, the only graph that meets this requirement is the graph D.
If you want to learn more about cosine functions, you can read:
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In triangle ABC, angle A and angle B are remote interior angles to an exterior angle that measures 60 degrees. If measure of angle A = 30, what is the measure of angle B?
30
60
90
45
Answer:
30 Step-by-step explanation:
Answer:
Its 60
Step-by-step explanation:
I took the test
To compute the necessary sample size for an interval estimate of a population proportion, all of the following procedures are recommended when p is unknown except :____________
a. use the sample proportion from a previous study.
b. use the sample proportion from a preliminary sample.
c. use 1.0 as an estimate.
d. use judgment or a best guess.
Answer:
c- use 1.0 as an estimate
Step-by-step explanation:
can someone help me pls
Answer:
[tex]x = 55°[/tex]
Step-by-step explanation:
L1 and L2 are parallel, so that the 2 interior angles are equal to 180°.
[tex](2x + 10) + (x + 5) = 180° \\ 2x + x + 10 + 5 = 180° \\ 3x = 165° \\ x = 55°[/tex]
A bookshelf costs $300 normally. Today it is on sale and decreased by 20% However there is
also a 4% sales tax. What is the new cost of the bookshelf?
Answer:
249.60
Step-by-step explanation:
300 x .8 (100%-20%)=240
240 x .04 (4% sales tax)=9.60
price = 240+9.60=249.60
What is the value of the expression 1/7 divided by 5 ?
Answer:
It would be 1/35.
Step-by-step explanation:
You turn 5 into 1/5 and then multiply 1/7 with 1/5, which is 1/35.
The value of the expression 1/7 divided by 5 is,
⇒ 1 / 35
What is Division method?Division method is used to distributing a group of things into equal parts. Division is just opposite of multiplications.
For example, dividing 20 by 2 means splitting 20 into 2 equal groups of 10.
We have to given that;
The expression is,
⇒ 1/7 divided by 5
Now, We can simplify as;
⇒ 1/7 divided by 5
⇒ 1 / 7 ÷ 5
⇒ 1 / 7×5
⇒ 1 / 35
Thus, The value of the expression 1/7 divided by 5 is,
⇒ 1 / 35
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The manufacturer of running shoes conducted a study on its newly developed jogging shoe. Listed are the type and frequency of the nonconformities and failures found. A Pareto chart to show the major problem areas is given below. (Round your answers to 1 decimal place.) Type of Nonconformity Frequency Type of Nonconformity Frequency Sole separation 36 Lace breakage 13 Heel separation 92 Eyelet failure 8 Sole penetration 60 Other 16
Answer: Hi your question is poorly structured I believe your question is construct a pareto chart to show the major problem areas
answer : attached below is the pareto chart.
Step-by-step explanation:
Rearranged table starting from highest frequency
The type of Nonconformity Frequency Percentage
Heel separation 92 40.89
sole penetration 60 26.67
Sole separation 36 16
Other 16 7.11
Lace breakage 13 5.8
Eyelet failure 8 3.5
Total = 36 + 13 + 92 + 8 + 60 + 16 = 225
Next step : determine the percentages of the various Nonconformity
sole separation = 36 / 225 ) * 100 = 16%
lace breakage = ( 13/225 ) * 100 = 5.8% = 6%
Heel separation = ( 92/225 ) * 100 = 40.89% = 41%
Eyelet Failure = ( 8 /225 ) * 100 = 3.5% = 4%
sole penetration = ( 60 / 225 ) * 100 = 26.67% = 27%
other = ( 16 / 225 ) * 100 = 7.11% = 7%
Next plot the Two columns using excel to show the Pareto chart attached below is a screen shot of the plot
Determine the radius of a cone that has a volume of 230 ft' and a height of 15 ft.
Round the answer to the nearest tenth.
Answer:
the formula for finding cone volume is V=πr²× 1/3
Step-by-step explanation:
230=3.14×x²×1/3
we have to solve for X that is our radius
14.8
I GIVE YOU 50 points for this question!
3000 dollars is invested at 5% pa (per year). Simple interest for 4 years. Find the total
Amount of interest
and
value of the investment
Answer:
easy what's 5% of 3000 that's just for one year then multiple it by 4
i will give Brainiest if you are right
Answer:
G
Step-by-step explanation:
G. Plug in x=5 to x-2<7
which becomes
5-2<7
3<7
which is correct.
Hope This Helps!
What is the volume of the cylinder below?
Use 3.14 for pi.
Answer:
using 3.14 for pi the volume is 502.4
Step-by-step explanation:
The number of direct-report employees to the department directors of a company are as follows: 23, 28, 41, 29, 33, 38, 42, and 18.
Which type of graph would be best to use to show the differences among the numbers of direct-report employees?
a bar graph
a circle graph
a histogram
a line graph
Answer:
Question?
Step-by-step explanation:
?
Which of the following is TRUE?
A. 8<-7
B -1 > 1
C. 6> 3
D. 4 <-2
9514 1404 393
Answer:
C. 6 > 3
Step-by-step explanation:
It is true that 6 is greater than 3.
__
All negative numbers are less than any positive numbers.
We hope you are sufficiently familiar with numbers and counting to be able to tell which positive numbers are more or less than any other positive number.
8x + 7 = 6x + 15
what is x
Answer:
x = 4
Step-by-step explanation:
i am smart
Answer:
X=4
Step-by-step explanation:
Simplifying
8x + 7 = 6x + 15
Reorder the terms:
7 + 8x = 6x + 15
Reorder the terms:
7 + 8x = 15 + 6x
Solving
7 + 8x = 15 + 6x
Solving for variable 'x'.
Move all terms containing x to the left, all other terms to the right.
Add '-6x' to each side of the equation.
7 + 8x + -6x = 15 + 6x + -6x
Combine like terms: 8x + -6x = 2x
7 + 2x = 15 + 6x + -6x
Combine like terms: 6x + -6x = 0
7 + 2x = 15 + 0
7 + 2x = 15
Add '-7' to each side of the equation.
7 + -7 + 2x = 15 + -7
Combine like terms: 7 + -7 = 0
0 + 2x = 15 + -7
2x = 15 + -7
Combine like terms: 15 + -7 = 8
2x = 8
Divide each side by '2'.
x = 4
Simplifying. Hope this helps :D
x = 4. Plz brainly and like
MATH MATH MATH MATHHHHHHHHHHHHHH
Answer:
1. Obtuse angle
2. 5
3. 117
Step-by-step explanation:
1. Any angle that is wider than 90 degrees is obtuse.
2. 180 = straight angle so, 180-140=40 8x5=40 so x=5
3. Supplementary angles are one angle that is 180 so, 180-63= 117