Answer:
C.
Step-by-step explanation:
A newsgroup is interested in constructing a 90% confidence interval for the proportion of all Americans who are in favor of a new Green initiative. Of the 533 randomly selected Americans surveyed, 351 were in favor of the initiative. Round answers to 4 decimal places where possible.
Answer:
The 90% confidence interval for the proportion of all Americans who are in favor of a new Green initiative is (0.6247, 0.6923).
Step-by-step explanation:
In a sample with a number n of people surveyed with a probability of a success of [tex]\pi[/tex], and a confidence level of [tex]1-\alpha[/tex], we have the following confidence interval of proportions.
[tex]\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]
In which
z is the z-score that has a p-value of [tex]1 - \frac{\alpha}{2}[/tex].
Of the 533 randomly selected Americans surveyed, 351 were in favor of the initiative.
This means that [tex]n = 533, \pi = \frac{351}{533} = 0.6585[/tex]
90% confidence level
So [tex]\alpha = 0.1[/tex], z is the value of Z that has a p-value of [tex]1 - \frac{0.1}{2} = 0.95[/tex], so [tex]Z = 1.645[/tex].
The lower limit of this interval is:
[tex]\pi - z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.6585 - 1.645\sqrt{\frac{0.6585*0.3415}{533}} = 0.6247[/tex]
The upper limit of this interval is:
[tex]\pi + z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.6585 + 1.645\sqrt{\frac{0.6585*0.3415}{533}} = 0.6923[/tex]
The 90% confidence interval for the proportion of all Americans who are in favor of a new Green initiative is (0.6247, 0.6923).
The greatest common factor of two numbers is 4. The sum of the numbers is
76. What are the two numbers?
O A) 14 and 52
OB) 12 and 54
OC) 38 and 48
OD) 24 and 52
Answer:
The answer correct d
24 (1.2.3.4.6.8.24) 52 (1.2.3.4.52)
24+52=76
The results of a survey of 38 students and the foreign language they are studying are shown in the two-way frequency table. Language Gender Chinese French Spanish Total Girl 4 7 10 21 Boy 1 1 15 17 Total 5 8 25 38 What fraction of the surveyed students are taking Chinese? of the surveyed students are taking Chinese.
Answer:
5/38
Step-by-step explanation:
A fraction is a quantity that is not a whole number. In maths, a fraction usually has a numerator and a denominator.
The numerator is the number above. While the denominator is the number below
an example of a fraction = [tex]\frac{4}{5}[/tex]
4 is the numerator while 5 is the denominator
fraction of the surveyed students are taking Chinese = total number of students surveyed / total number of students surveyed
5/38
PLEASE HELP!!!
Gabe deposits $1000 into the bank. He gets 4% interest annually.
A) Set up a function that shows how much money Gabe will receive each year.
B) How much money will Gabe have in his bank account in 7 years?
Answer:
1,280
Step-by-step explanation:
PLEASE HELP!Write the standard form of equation with p=sqrt3, 0=150°
Answer:
I heard it's not b
Step-by-step explanation:
was A the correct answer?
Find the circumference of a circle that has a diameter of 26 ft. (Round to the nearest hundredth)
Your answer
Answer:
C = 81.69 ft
Step-by-step explanation:
Given the following data;
Diameter = 26 ft
To find the circumference of a circle;
Mathematically, the circumference of a circle is given by the formula;
Circumference of circle, C = πd
Where;
d represents the diameter of the circle.
Substituting into the formula, we have;
C = 3.142 * 26
C = 81.69 ft
Three numbers are in the ratio 5 :3 : 2. If the sum of their squares is 5472, find the three numbers
Answer:
60 36 24
Step-by-step explanation:
5 3 2
25x +9x + 4x = 5472
38x = 5472
x = 144
25(144) = 3,600 9(144) = 1,296 4(144) = 576
60² = 3,600 36²= 1,296 24² = 576
3,600 + 1,296+576 = 5,472
How many tenths are in 8.32?
Answer:
3 tenths
Step-by-step explanation:
Find the missing side. Round to the nearest tenth
Answer:
x = 12.5
Step-by-step explanation:
From the diagram,
Applying
tanФ = Opposite/Adjacent...................... Equation 1
From the diagram,
Given: Opposite = 16, Adjacent = x, Ф = 52°
Substitute these values into equation 1
tan52° = 16/x
make x the subject of the equation
x = 16/tan52°
x = 16/1.27994
x = 12.5.
Heather had 20 stickers. She bought 27 stickers from a store in the mall and got 6 stickers for her birthday. Then Heather gave 4 of the stickers to her sister and used 11 to decorate a greeting card. How many stickers does Heather have left?
Answer:
38 stickers
Step-by-step explanation:
20+27=47
47+6=53
53-4=49
49-11=38
20+27+6-(4+11)=38 stickers
15-2X = -45 how do I show My work for this?
Answer:15-2x=-45
15-2=13
13=-45
Step-by-step explanation:
I hope that helps you!
Answer:
x = 30
Step-by-step explanation:
15 - 2x = -45
+ 2x to both sides
15 = 2x - 45
+ 45 to both sides
60 = 2x
divide both sides by two
x = 30
What function is represented ?
A quartic function
An exponential function
A cubic function
A quadratic function
A linear function
Answer:
A cubic function
Step-by-step explanation:
I graphed it and connected the lines on desmos then compared to the types of calculus graphs on the search engine.
Zoey had 15 rocks.
she put them in 3
boxes. how many
were in each box?
Answer: 5
Step-by-step explanation:
If Bill hiked 6.5 miles at a rate of 10.4 mph, how long did it take him to complete his hike?
Answer:
32 minutes or .5333 of an hour
Step-by-step explanation:
Find the volume of cylinder
Answer:
1539.4 rounded
Step-by-step explanation:
Have a great day
50 POINTS!!!!
Analyze the graph of the cube root function shown
on the right to determine the transformations of the
parent function. Then, determine the values of a, h,
and k in the general equation.
y = a3x - h + k
h =
k=
Answer:
Let's solve for h.
y=a3x−h+k
Step 1: Flip the equation.
a3x−h+k=y
Step 2: Add -a^3x to both sides.
a3x−h+k+−a3x=y+−a3x
−h+k=−a3x+y
Step 3: Add -k to both sides.
−h+k+−k=−a3x+y+−k
−h=−a3x−k+y
Step 4: Divide both sides by -1.
−h
−1
=
−a3x−k+y
−1
h=a3x+k−y
Answer:
h=a3x+k−y
Let's solve for k.
y=a3x−h+k
Step 1: Flip the equation.
a3x−h+k=y
Step 2: Add -a^3x to both sides.
a3x−h+k+−a3x=y+−a3x
−h+k=−a3x+y
Step 3: Add h to both sides.
−h+k+h=−a3x+y+h
k=−a^3x+h+y
Answer:
k=−a^3x+h+y
Step-by-step explanation:
The required values are h = 1 and k = 4 the given cube root function.
What is the cube root function?The cube root function is a function that takes the cube root of its input. The formula for the cube root function is:
f(x) = ∛x
The graph is given in the question, as shown.
To find the symmetric center of the cube root function, we need to find the point on the function that is equidistant from the two opposite sides of the function graph.
Since the given cube root function is an odd function, it is symmetric about the point (1, 4).
So, the symmetric center of the cube root function is the point (1, 4).
Thus, h = 1 and k = 4
Therefore, the required values are h = 1 and k = 4 the given cube root function.
Learn more about the cube root function here:
https://brainly.com/question/29082141
#SPJ2
The complete question would be as:
Alina is building a roof for a dog house. She uses plywood to make the roof with the dimensions shown, but with an open bottom.
A net of a square pyramid has a square base with side lengths of 4 feet, and 4 triangular sides with heights of 3 feet.
How many faces will she need to consider when deciding the amount of shingles to buy for the roof?
faces
Step-by-step explanation:
Alina is building a roof for a dog house with the dimensions shown. She uses plywood to make the roof with the dimensions shown, but with an open bottom.
A net of a square pyramid has a square base with side lengths of 4 feet, and 4 triangular sides with heights of 3 feet.
Find the surface area of the roof.
The area of each triangular face is
✔ 6
ft2.
The surface area of the roof is
✔ 24
ft2.
The surface area is 24 ft² and Alina need to consider four faces while buying shingles for the roof.
What is Surface Area of an Object ?The surface area of a solid object is a measure of the total area that the surface of the object occupies.
Alina is building a roof for a dog house
A net of a square pyramid has a square base with side lengths of 4 feet, and 4 triangular sides with heights of 3 feet.
Find the surface area of the roof.
The surface area of each triangular face is given by the formula
= (1/2) * base * height
= (1/2) * 4 * 3
= 6 ft²
The surface area of the roof is
= 4 * 6
= 24 ft²
She'll need to consider 4 faces when buying shingles for roof .
To know more about Surface Area
https://brainly.com/question/2835293
#SPJ2
Reflect P (-5,10) over the x-axis. What are the coordinates of the reflected point? What quadrant is the reflected point in?
Answer:
(-5,-10)
it is in quadrant 3 (quadrant III)
Step-by-step explanation:
Mark as Brainliest
Answer:
(-5,-10) In Quadrant III
Step-by-step explanation:
When reflecting a point accross the x-axis, the y-coordinate of the point changes signs
Ex. Positive to Negative and vice versa
Therefore, (-5,10) reflected accross the x-axis becomes (-5,-10)
Since both x and y coordinates are negative, the point falls in the third quadrant, or Quadrant III
An employer wants to determine the amount of job satisfaction experienced by his employees. Which sampling
method is most likely to result in undercoverage?
Answer:
C: Employees are assigned to one of four pay scales. Randomly select a pay scale and survey every employee in that pay scale
Step-by-step explanation:
Looking at the given options, the one that will likely result in undercoverage will be option C. This is because even after assigning employees to any of the 4 payscales, when randomly selecting for survey, he picked only one pay scale and surveyed every on there. Since he didn't include at least one person in the other pay scales, he will not have covered every pay scale which he will need to make a conclusion on job satisfaction experienced by his employees.
Cooper invested $3,100 in an account paying an interest rate of 2%
compounded quarterly. Robert invested $3,100 in an account paying an
interest rate of 3 % compounded continuously.After 12 years, how much
more money would Robert have in his account than Cooper, to the nearest
dollar?
Answer:
Robert will have $481 more in his account than Cooper.
Step-by-step explanation:
Compound interest:
The compound interest formula is given by:
[tex]A(t) = P(1 + \frac{r}{n})^{nt}[/tex]
Where A(t) is the amount of money after t years, P is the principal(the initial sum of money), r is the interest rate(as a decimal value), n is the number of times that interest is compounded per year and t is the time in years for which the money is invested or borrowed.
Continuous compounding:
Similar to compound interest:
[tex]A(t) = P(1 + r)^t[/tex]
Cooper:
Cooper invested $3,100 in an account paying an interest rate of 2% compounded quarterly. This means that [tex]P = 3100, r = 0.02, n = 4[/tex]
After 12 years is A(12). So
[tex]A(t) = P(1 + \frac{r}{n})^{nt}[/tex]
[tex]A(12) = 3100(1 + \frac{0.02}{4})^{4*12}[/tex]
[tex]A(12) = 3938.5[/tex]
Cooper will have $3938.5 in his account.
Robert:
Robert invested $3,100 in an account paying an interest rate of 3 % compounded continuously. So [tex]P = 3100, r = 0.03[/tex].
After 12 years.
[tex]A(t) = P(1 + r)^t[/tex]
[tex]A(12) = 3100(1 + 0.03)^{12}[/tex]
[tex]A(12) = 4419.9[/tex]
Robert will have $4419.9 in his account.
How much more money would Robert have in his account than Cooper, to the nearest dollar?
4419.9 - 3938.5 = 481.4
To the nearest dollar, Robert will have $481 more in his account than Cooper.
Figure abc is a triangle with a base of 22 inches if abc is dilated by a scale factor of 0.5 what will be the base of the figure
Answer:
11
Step-by-step explanation:
Scale factor 0.5 means 1/2
so multiply base length with scale factor
22×0.5 = 11
A pound of chocolate costs 8 dollars. Kala buys p pounds. Write an equation to represent the total cost c that Kala pays.
Answer:
8p=c
Step-by-step explanation:
For questions like this, it isn't asking for a numerical answer or anything complicated. It's mainly just using common sense and figuring out what you would do if you had actual numbers instead of variables. You would multiply the amount of pounds (p) by the cost per pound of $8, and that would be your answer (c). I hope I could help.
PLEASE HELP THIS IS DUE SOON!
Sales Hester sells televisions. She earns a fixed amount for each television and an additional $20if the buyer gets an extended warranty. If Hester sells 19 televisions with extended warranties, she
earns $1,710. How much is the fixed amount Hester earns for each television?
The fixed amount Hester earns for each television she sells is $]
Answer:
380
Step-by-step explanation:
multiply 20 x 19
what is the answer for this one?
2x + 3 = 9. x
Answer:
3/7
Step-by-step explanation:
You want to seperate the numbers from the variable.
Factor this trinomial. Your answer should consist of two binomials.
n^2-11n +28
Answer:
(n-4)(n-7)
Step-by-step explanation:
hopefully that helps
what is the area of this figure?
Answer:
4 ssquare units
Step-by-step explanation:
From a bag containing 6 white balls, 3 black balls and 13 red balls, two balls are drawn at random. What is the probability that they are both red without replacement?
a) 26/77
b) 9/10
c) 1/2
d)5/77
Answer:
Probability [Both ball red without replacement] = 26 / 77
Step-by-step explanation:
Given:
Number of white ball in beg = 6 balls
Number of black ball in beg = 3 balls
Number of red ball in beg = 13 balls
Find:
Probability [Both ball red without replacement]
Computation:
Probability of first red ball = Number of red ball in beg / [Total balls in beg]
Probability of first red ball = 13 / [6 + 3 + 13]
Probability of first red ball = 13 / 22
Probability of Second red ball = Number of remaining red ball in beg / [Total balls in beg without replacement]
Probability of Second red ball = [13 - 1] / [6 + 3 + 12]
Probability of Second red ball = 12 / 21
Probability [Both ball red without replacement] = [Probability of first red ball][Probability of Second red ball]
Probability [Both ball red without replacement] = [13/22][12/21]
Probability [Both ball red without replacement] = 26 / 77
Directions: Use the information given to write the equation of the circle in standard form.
16. center:(-10,-4), point on circle: (4, -2) 17. center: (-9, -3), point on circle: (-11, 2) 18. center: (5.-7), point on circle: (-3,-1)
19. center: (8,2), point on circle: (14,-1) WO
Answer:
subject?
Step-by-step explanation:
Give an example of tangents in the real world that have not been presented in this lesson.
Explain how you know the tangent and the radius in your example are perpendicular.
This is in relation to tangent lines and not cosine, sine, etc!
My example is attached via photo!
Answer:
Hey! Sorry im too late lol but here-
Step-by-step explanation:
Example of tangent in the real world-
When a stone gets tied at one end of a string & the other end is rotated, then the stone will form a circle.
How you know the tangent and radius are perpendicular:
The radius is formed vertically and is completely straight, while the tangent is completely straight but horizontal. You can draw a right triangle angle between the radius and tangent line by adding a third line, and a right angle is 90 degrees. So, this forms a perpendicular line.
Hope this helped :))
Part A: The path of the ball in relation to the curved path of the thrower
Part A: The path the ball takes is perpendicular to the hand, bat or feet at the point of last contact
Reason for the selection:
Part A
A real world example of tangents is the direction of a ball immediately it is released and the circular path of the motion, that provides the force input that is given to the ball to cause it to move in the required direction
The tangent is the path the ball takes immediately it is moving without contact to the bat, hand or feet that causes it to move
The circular path is the motion of the hand, leg, bat or feet that makes before the ball is released
The radius is the hand, leg, or bat that rotates in a circular path, so as to move the ball
Part B
How the radius is perpendicular to the tangent
The radius, such as the leg kicking a ball is perpendicular to the tangent of the which is the path of the ball because a kick to send the ball into air, the orientation of leg at the point the ball leaves is perpendicular to the angle of elevation with which the ball is launched
Learn more about tangents here:
https://brainly.com/question/16300584
write an integer addition expression that equals -4
Answer:
-6 + 2 = -4
Step-by-step explanation:
-6 + 2 = -4