The confidence interval of the proportion of people who order a burger at the Burger, using a 95% confidence level is; (0.817, 0.879)
What is a confidence interval?
A confidence interval is the likelihood of the parameters of a population to be found between a value set within a specified proportion of time.
The confidence interval at the 95% confidence level of a population proportion can be found by using the following formula;
[tex]\hat p = \pm z^* \cdot \sqrt{\dfrac{\hat {p} \cdot (1 - \hat{p})}{n} }[/tex]
Where:
z = The standard normal distribution value that reflects the 95% confidence level
[tex]\hat p[/tex] = The proportion of the sample that ordered burger
n = The size of the sample in the survey
The z-score at the 95% confidence level is about 1.96
[tex]\hat {p} = \dfrac{424}{500} =0.848[/tex]
Plugging in the values of z, [tex]\hat{p}[/tex], and n, the confidence interval is therefore;
[tex]0.848 \pm 1.96 \times \sqrt{\dfrac{0.848\times (1 - 0.848)}{600} }[/tex]
Resolving the ± into plus and minus, we get;
[tex]0.848 + 1.96 \times \sqrt{\dfrac{0.848\times (1 - 0.848)}{600} } \approx 0.879[/tex]
[tex]0.848 - 1.96 \times \sqrt{\dfrac{0.848\times (1 - 0.848)}{600} } \approx 0.817[/tex]
The confidence interval at 95% confidence level from the above values is therefore;
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Lines n and o are parallel and are cut by the transversal p.
What is the measure of ∠m ?
A. 23°
B. 33°
C. 67°
D. 157°
Using the Corresponding Angle Theorem, ∠m = 23 degree. So, the option A is correct.
In the given question, lines n and o are parallel and are cut by the transversal p.
We have to find the measure of ∠m and choose the correct option.
As we know that;
When two parallel lines are intersected by another line, corresponding angles are the angles that are formed in matching corners or corresponding corners with the transversal.
So using the Corresponding Angle Theorem
∠m = 23 degree
Hence, the option A is correct.
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Mr. Clarke plans to buy 3 security cameras to install outside his donut shop. He wants to spend less than $450 on the cameras in all.
Answer:
$150 for each security camera
Step-by-step explanation:
If he wants to spend $450 or less for 3 security cameras, he will have to spend $150 for each security camera.
Answer:
the answer is $150
Step-by-step explanation:
If he wants to spend not less than $450, he has to buy one camera for $150
Please help me on this I’m really confused
Answer:
Step-by-step explanation:
....shhhhhhhhhhhhhhhhhhhhhhh
Two numbers when multiplied equals 63
If one number is x and the other number is greater than x by 2
a) represent the information given in equation form
b) express as a quadratic equation
c) solve the quadratic equation to find possible values for x
d) if told that the two numbers are positive numbers, what are the values of the two original numbers
Answer:b
Step-by-step explanation:
Jump up! Refer to Exercise 6. Suppose that the corrected long-jump distances are converted from centimeters to meters (note that 100 cm = 1 m). (a) What shape would the resulting distribution have? Explain your answer. (b) Find the mean of the distribution of corrected long-jump distance in meters. (c) Find the standard deviation of the distribution of corrected long-jump distance in meters.
Shape would the resulting distribution have very symmetric distribution with a single peak was found to be the corrected long-jump distances in centimeters distribution's shape.
Define symmetry.In common parlance, the term "symmetry" describes a sense of lovely proportion and balance. A more exact meaning of "symmetry" can be found in mathematics, where it typically refers to an object that is unaffected by certain transformations like translation, reflection, rotation, or scaling.
Given,
100 cm = 1 m
Xₙ = 557.3 cm
Divide each centimeter number by 100 to convert the corrected long jump distances from centimeters to meters.
A very symmetric distribution with a single peak was found to be the corrected long-jump distances in centimeters distribution's shape.
The distribution's structure is unaltered when each value in the data is divided by 100 since there are no changes to the relationships between any two pieces of data.
Since there is just one peak in this example, the corrected long-jump distances in meters distribution likewise has an almost symmetric form.
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F. Why would a linear function describing an investment made at a bank have a minimum
value but no maximum value? Explain your reasoning.
Answer: The function would have a minimum value because the least you will ever have is 0$. It cannot go below 0, so that is the minimum. However, depending on how much time has passed, the maximum amount of money you have can change. It can always go up more, so there is no set maximum.
Step-by-step explanation:
A bacteria culture starts with 820 bacteria and grows at a rate proportional to its size. After 2 hours there will be 1640 bacteria.
(a) Express the population P after t hours as a function of t. Be sure to keep at least 4 significant figures on the growth rate.
P(t)=
(b) What will be the population after 8 hours?
bacteria
(c) How long will it take for the population to reach 2450? Give your answer accurate to at least 2 decimal places.
hours
A) The population P after t hours as a function of t p(t) = 820 [tex]e^{0.3465t}[/tex] k = 0.3465 , B)The population after 8 hours of
bacteria is p(8) = 13120 , C) The population to reach 2450, time will be t= 3.15 hour
What is proportional?A linear relationship between two amounts or variables is shown by proportionality. Both quantities increase in size when one doubles, and both decrease in size when one drops to a tenth of its original amount.
It is given that
dp/dt ∝ p
dp/dt = kp
dp/p = kdt
log p = kt +c
p(t) = c[tex]e^{kt}[/tex]
when t = 0 then p = 820
therefore c = 820
p(t) = c[tex]e^{kt}[/tex]
when t = 2hours then p = 1640
1640 = 820[tex]e^{2k}[/tex]
2k = ln2
k = ln2/2
k = 0.3465
p(t) = 820[tex]e^{0.3465t}[/tex] bacteria
B)
when t = 8hours
p(8) = 820[tex]e^{0.3465* 8}[/tex]
p(8)= 820*16
p(8) = 13120 bacteria
c)
when p = 2450 then t = ?
2450 = 820[tex]e^{0.3465t}[/tex]
2450/820 = [tex]e^{0.3465t}[/tex]
t =1.0945/0.3465
t= 3.15hours
Thus
A) The population P after t hours as a function of t p(t) = 820 [tex]e^{0.3465t}[/tex] k = 0.3465 , B)The population after 8 hours of
bacteria is p(8) = 13120 , C) The population to reach 2450, time will be t= 3.15 hour
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Use the vertex (h, k) and a point on the graph (x, y) to find the general form of the equation of the quadratic function. (h, k) = (−6, −1), (x, y) = (−9, 8)
f(x)=
The general form of the equation of the quadratic function is, [tex]y=(x + 6)^2 - 1[/tex]
What is a quadratic equation?A quadratic equation is the second-order degree algebraic expression in a variable. the standard form of this expression is ax² + bx + c = 0 where a. b are coefficients and x is the variable and c is a constant.
Given that the vertex (h, k) and a point on the graph (x, y) to find the general form of the equation of the quadratic function.
(h, k) = (−6, −1), (x, y) = (−9, 8)
The General vertex form of a quadratic,
f(x)=
[tex]y=a(x-h)^2 + k[/tex]
Where,a = focus,
h = x-coordinate of vertex,
k = y-coordinate of vertex.
As the point (−9, 8) lies on the curve, therefore it must satisfy the curve equation.
[tex]y=a(x-h)^2 + k\\\\8=a(-9-(-6))^2 - 1[/tex]
a = 1
∴ Then the equation becomes,
[tex]y=(x + 6)^2 - 1[/tex]
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May someone pls help me with this it’s one of my last questions pls someone I’m begging I’ll give brainliest
which one of the following entries from the output tables of a multiple regression model could be used to reject the null hypothesis of equal coefficients in the global test?
By using the concept of F- distribution, it can be concluded that-
To reject the null hypothesis of equal coefficients in the global test from the output tables of a multiple regression model, F- distribution is used
What is F- distribution?
F- distribution is the used to test if the two observed sample has the same variance or not.
F- distribution is used to reject the null hypothesis when the two samples have the same variance.
Here, the null hypothesis of equal coefficients has to be rejected in a global test.
And also, here the outputs are from multiple regression model.
So F - distribution is used.
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Complete Question:
which one of the following entries from the output tables of a multiple regression model could be used to reject the null hypothesis of equal coefficients in the global test?
A) F- distribution
B) B- distribution
C) D- distribution
D) Non of these
To indirectly measure the distance across a lake, Bilquis makes use of a couple
landmarks at points R and S. She measures QU, US, and TU as marked. Find the
distance across the lake (RS), rounding your answer to the nearest hundredth of a
meter.
The measure of distance RS, if The sides QU = 140 m, US = 115 m, TU = 104.55 m, rounding to the nearest hundredth of a meter, is 200 m.
What is the triangle?Triangles are basic three-sided polygons with three internal angles. It is one of the basic geometric shapes, symbolized by the symbol, and has three vertex connections.
Given:
The sides QU = 140 m, US = 115 m, TU = 104.55 m
As you can see, the triangle QRS and triangle QTU are similar, thus the ratio of their sides will be equal,
QU / QS = TU / RS
140 / 140 + 115 = 104.55 / RS
140 / 255 = 104.55 \ RS
RS = 104.55 × 255 / 140
RS = 190.43 or 200 m
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Answer: 190.43m
Step-by-step explanation:
In Photo
15. Explain how to find the cost of a down payment if the price of the house is $200,000, and the down payment is 20%. Find the answer.
Answer: pay 40,000 up front i believe sorry if its wrong
Step-by-step explanation:
what is (-7, 12 1/2) reflected over the x- axis
You accept a job with a salary of $37,300. After 6 months, you receive a 6% raise. What is your new salary?
Answer:
If you accept a job with a salary of $37,300 and receive a 6% raise after 6 months, your new salary will be $37,300 x 6/100 = $2,238. This is the amount of your raise. To determine your new salary, we can add the raise to your original salary, which gives us:
New salary = $37,300 + $2,238 = $39,538
Therefore, your new salary after receiving a 6% raise will be $39,538.
Step-by-step explanation:
Solve the equation pls its urgent
Answer:
x=4
Step-by-step explanation:
[tex]\sqrt{2x+1} -4=1\\\sqrt{2x+1}=3\\2x+1=9\\2x=8\\x=4[/tex]
The hypotenuse of a right triangle is 13 ft long. The shorter leg is 7 ft shorter than the longer leg. Find the side lengths of the triangle.
Answer:
Since the length of a side of a triangle must be a positive number, the only solution that makes sense is $x = \frac{14 + \sqrt{-764}}{8}$. The length of the shorter leg is then $y = x - 7 = \frac{14 + \sqrt{-764}}{8} - 7 = \frac{7 + \sqrt{-764}}{8}$.
Therefore, the side lengths of the triangle are $\frac{7 + \sqrt{-764}}{8}$ and $\frac{14 + \sqrt{-764}}{8}$.
If sin B = − 1/3 with B in QIII, find the following.
cos B/2
Answer:
In the third quadrant, the sine of an angle is negative, so the angle itself must be between 180 and 270 degrees. This means that the cosine of the angle, and therefore the cosine of half the angle, is also negative.
To find the exact value of the cosine of half the angle, we can use the double angle formula for cosine, which states that cos(2A) = 1 - 2sin^2(A). Since the sine of half the angle is sin(B/2) = sqrt((1 - cos(B))/2), we can plug this into the double angle formula to get:
cos(B/2) = sqrt(1 - cos(B))/sqrt(2) = sqrt((1 - (-1/3))/2) = sqrt(4/6)/sqrt(2) = sqrt(2/3)/sqrt(2) = sqrt(1/3)
Therefore, the value of cos(B/2) is sqrt(1/3), which is positive because B/2 is between 0 and 90 degrees. The exact value of the cosine of half the angle B in the third quadrant is sqrt(1/3).
Identify if the question is statistical or non statistical. "Are you a faster runner than your best friend
The question "Are you a faster runner than your best friend" is a non statistical question.
How to Identify Statistical and Non Statistical Questions?A statistical question is a question that can be answered by collecting and analyzing data. The question is usually framed in a way that allows for the collection of data and the use of statistical methods to analyze the data and make inferences about a larger population. Examples of statistical questions include:
What is the average income of individuals living in a certain city?What is the probability that a randomly selected person from a certain population has a certain disease?The question "Are you a faster runner than your best friend?" is a non-statistical question. It is asking for a comparison between two individuals rather than a statistical analysis of a dataset.
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How many terms does this have 7y+4z+9
Answer:
3 terms
Step-by-step explanation:
There are 3 terms: 7y, 4z, and 9. To explain simply, terms are a letter, number, or a group of letters and numbers that are multiplied, but not added or subtracted.
I need help with this answer pleaseeeeee
Answer:
120º
Step-by-step explanation:
This might be the correct answer if I'm not mistaken:
Extending the right side of the bottom triangle leads to m<1 and 120 vertical angles.
You use the Vertical Angles Theorem, and figure that 120 is congruent to m<1. Thus, i think 120 degrees is the answer.
A cell phone tower has a range of 4 miles. Find the area covered by the tower.
A cell phone tower has a range of 4 miles. The area covered by the tower is 130.09 km².
Define area.Area is the entire amount of space occupied by a flat (2-D) surface or an object's shape. On a sheet of paper, draw a square using a pencil. It has two dimensions. The area of a shape on paper is the area that it occupies.
An object's area is how much space it takes up in two dimensions. It is the measurement of the quantity of unit squares that completely cover the surface of a closed figure. The square unit, which is frequently expressed as square inches, square feet, etc., is the accepted unit of area.
Given,
A cell phone tower has a range of 4 miles.
Converting miles into kilometer,
1 miles = 1.609
4 miles = 6.437
Area covered by tower,
πr²
3.14 × (6.437)²
3.14 × 41.43
130.09 km²
A cell phone tower has a range of 4 miles. The area covered by the tower is 130.09 km².
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use the following test scores to find the following data and create a box and whisker plotw 72, 84, 85, 91, 98, 90, 68, 65, 55, 71, 91, 99, 98, 59, 60, 64, 61, 68, 88, 91, 99
The box and whisker plot for the data
72, 84, 85, 91, 98, 90, 68, 65, 55, 71, 91, 99, 98, 59, 60, 64, 61, 68, 88, 91, 99
has been shown below.
What is box and whisker plot?
Box and whisker plot is used to find the variations in a data set.
Box and whisker plot is a very good technique to show the minimum value, lower quartile, median, upper quartile and maximum value diagrammatically.
Here, the test scores are
72, 84, 85, 91, 98, 90, 68, 65, 55, 71, 91, 99, 98, 59, 60, 64, 61, 68, 88, 91, 99
The box and whisker plot has been shown below-
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Para comprar una tele que cuesta 3899 para mi cuarto mi papá me dice que yo debo juntar 15% Cuánto dinero pondre yo
You will put $584.85 in order to buy the T.V.
What is a expression? What is a mathematical equation? What do you mean by domain and range of a function?A mathematical expression is made up of terms (constants and variables) separated by mathematical operators.A mathematical equation is used to equate two expressions. Equation modelling is the process of writing a mathematical verbal expression in the form of a mathematical expression for correct analysis, observations and results of the given problem.For any function y = f(x), Domain is the set of all possible values of [y] that exists for different values of [x]. Range is the set of all values of [x] for which [y] exists.Given is that to buy a TV that costs $3,899 for your room, your dad tells you that you must raise 15%.
Assume that you have to raise $x. Then -
x = 15% of 3899
x = (15/100) x 3899
x = 584.85
Therefore, you will put $584.85 in order to buy the T.V.
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[Question in english -
To buy a TV that costs 3,899 for my room, my dad tells me that I must raise 15%. How much money will I put?]
Most brainly for whoever answers correct. (Calc)
Part A: Discuss the limits of integration.
Part B: Set up an integral expression that represents the total area.
Part C: Calculate the total area.
Answer:
answer is A Step-by-step explanation
Please help me what’s the answer
The simplified value of the given fractions is -11/12
What does division of fractions mean?
A fraction is divided into additional equal pieces when it is divided into fractions. For instance, if you had three-fourths of a pizza remaining and divided each slice into two pieces, you would have received six slices, which would be equivalent to six-eighths of the entire pizza.
Top expression = 5/8 + 3/4
= (5 + 6)/ 8 = 11/8 ( 8 is the lcm of 4 and 8 )
Bottom expression = -2/3 - 5/6
= (-4 - 5)/ 6
= -9/6 = -3/2
Top expression/ Bottom expression = (11/8)/ (-3/2 )
= - (11/8) * (2/3)
= -11/12
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Find the length of side x in simplest radical form with a rational denominator.
The length of side X in the simplest radical form exists 22/√3.
What is meant by trigonometric identities?Trigonometry is the study of angles and the angular connections between figures in two and three dimensions. The trigonometric functions that make up trigonometry are cosecant, cosine, cotangent, secant, sine, and tangent. These are also known as the circle functions.
Trigonometric Identities are equality statements involving trigonometry functions that hold true for all values of the input variables in the equation. The side length and angle of a triangle are both subject to a variety of distinctive trigonometric identities.
The triangle is right angled, therefore we can apply trigonometry :
To obtain the value of X which is the hypotenuse :
Using trigonometric identities,
Cosθ = adjacent / hypotenuse
Substitute the values in the above equation, we get
Cos 30 = 11 / X
√3/2 = 11 / X
simplifying the above equation, we get
√3 / 2 × X = 11
X = 11 ÷ √3 / 2
X = 11 × 2 / √3
X = 22/√3
Therefore, the length of side X in the simplest radical form is 22/√3.
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Find missing side length?
Answer: 6
Step-by-step explanation:
14-8=6
x=6
please help me!!!!!!!
Answer:
3. y int= 6
4. m=6
5. y=-2x-8
Step-by-step explanation:
3. since the y intercept is when x=0 the table shows the y=6.
4. to find m we use change in y/change in x
the change in y is 6 because 6-0=6
change is x is 1 because 0--1=1
6/1=6
5. y=mx+c
c is y intercept thus c= -8
m is function rate/ gradient of the line = -2
this is because:
change in y= -8--2=-6
change in x= 0--3=3
-6/3= -2
thus y=-2x-8
What percent is 10 out of 25 SHOW WORK
Answer:
To find the percent of a number, we need to divide the number by the total and then multiply by 100%. In this case, we want to find the percent of 10 out of 25, so we need to divide 10 by 25 and then multiply by 100%. This gives us 10/25 * 100% = 40%. Therefore, 10 out of 25 is equal to 40%.
Step-by-step explanation:
Find the measure of the missing angles?
[tex] \angle 1=\angle 2=62.5^{\circ}[/tex] (isosceles triangle)
[tex]\angle 3=55^{\circ}[/tex] (vertical angles)
[tex]\angle 4=75^{\circ}[/tex] (linear pair)
[tex]\angle 5=50^{\circ}[/tex] (exterior angle theorem)