Using the z-distribution, as we are working with a proportion, it is found that the margin of error for the 90% confidence interval is of 0.0524 = 5.24%.
What is a confidence interval of proportions?A confidence interval of proportions is given by:
[tex]\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]
In which:
[tex]\pi[/tex] is the sample proportion.z is the critical value.n is the sample size.The margin of error is given by:
[tex]M = z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]
In this problem, the critical value is given as z = 1.645, and since 26 out of 80 students said they would be willing to pay extra:
[tex]n = 80, \pi = \frac{26}{80} = 0.325[/tex]
Then, the margin of error is of:
[tex]M = 1.645\sqrt{\frac{0.325(0.675)}{80}} = 0.0524[/tex]
More can be learned about the z-distribution at https://brainly.com/question/25890103
Suppose that a classmate asked you why (2x + 112 is not (4x² + 1). What is your response to this classmate?
O A. An expression such as (2x + 1)2 is called the square of a monornial. The expression (2x + 1)2 is equal to (22• 2xX1. 1), thus it is not equivalent to
(4x2 +1)
B. The classmate is correct. An expression such as (2x + 1)2 is called the square of a binomial. The expression (2x + 1)2 is equal to (2)?(x} = (132, thus it is
equivalent to (4x + 1)
OC. An expression such as (2x + 1)2 is called the square of a binomial. The expression (2x + 1)2 is equal to (2x+ 1x2x + 1), thus it is not equivalent to
(4x + 1)
OD. An expression such as (2x + 1)2 is called the product of the sum and difference of two terms. The expression (2x + 1)2 is equal to (2x+ 1(2x - 1), thus it is
not equivalent to (4x2 + 1)
+
The given expression is the square of a binomial, such that:
(2x + 1)^2 = 4x^2 + 4x + 1
Then the correct option is C.
Are the expressions equivalent?We want to see if:
(2x + 1)^2
Is equivalent to (4x^2 + 1).
First, this is false, let's prove that.
We have the square of a binomial (2x + 1)^2. Remember the general formula:
(a + b)^2 = a^2 + 2ab + b^2
So if we apply this to our expression we get:
(2x + 1)^2 = (2x)^2 + 2*2x*1 + 1^2 = 4x^2 + 4x + 1
Then, the correct option is C.
If you want to learn more about binomials, you can read:
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HELP PLEASE!!!! Posting a lot of these for a lot of points!
Answer:
Step-by-step explanation:
Area of figure I = length *width
= 4 * 5
= 20 m²
Figure II is a trapzium.
a and b are the parallel sides. a = 21 m
b = 20 - 5 = 15 m
h = 3 + 4 = 7 m
[tex]\text{area of figure 2 = $\dfrac{(a + b)*h}{2}$}[/tex]
[tex]=\dfrac{(21+15)*7}{2}\\\\\\=\dfrac{36*7}{2}\\\\\\= 18*7\\\\= 126 \ m^{2}[/tex]
Area of the figure = 20 + 126
= 146 m²
Answer:
146 m²
Step-by-step explanation:
Formulae
Area of a rectangle = width x length
Area of a triangle = 1/2 x base x height
Divide the figure into 2 rectangles and a triangle (see attachment).
Area of Rectangle 1 = 4 x 5 = 20 m²
Area of Rectangle 2 = (3 + 4) x (20 - 5) = 105 m²
Area of triangle 3 = 1/2 x (21 + 5 - 20) x (3 + 4) = 21 m²
Total area = 20 + 105 + 21 = 146 m²
. The difference between the length and width of a rectangle is
7 cm. The perimeter of the rectangle is 22 cm. Find the length
and the width. (Remember, P= 21 + 2w.)
Answer:
Rectangle
Solve for length
l=4cm
w Width
7
cm
P Perimeter
22
cm
Using the formula
P=2(l+w)
Solving forl
l=P
2﹣w=22
2﹣7=4cm
Factorise (a-2b) (3+x)
Answer: ax - 2bx plus 3a - 6b
Step-by-step explanation: I’m not so sure with this but it might help
Val is going to plant b vegetable seeds in one garden and 3b + 10 vegetable seeds in another. How
many seeds is Val going to plant?
Val is going to plant seeds.
Answer:
The question is not showing what we are supposed to find.
b+3b+10
find the 19th term in each sequence. 11, 33, 99, 279
Answer:
Step-by-step explanation:
hello : note 297 no 279
297 =3×99
99 = 3 ×33
33=3×11
this the geometric sequence. ( comon : 3)
the nth term is : An = A1 × r^n when : r = 3 and A1 =11
if n = 19 A19 = 11×3^19
Joey worked 8 more hours than Chandler last week. Together, they worked a total of 59 hours. Which system of equations can be
used to determine the number of hours Joey worked, x, and the number of hours Chandler worked, y?
Answer:
x + y = 59
x = 8 + y
Step-by-step explanation:
Joey: x hours
Chandler: y hours
total hours is sum of both:
x+y = 59
Joey (x) worked 8 more hours than chandler (y)
x = 8 + y
This morning, Deanna took a history test. She got 87 out of 90 problems right. What is
her final grade, as a percentage rounded to the nearest tenth?
Answer:
96.7%
Step-by-step explanation:
87/90 = 0.96666666
To make this number a percentage, we move the decimal point two places to the right. Her grade would be 96.6666 percent, which rounds up to 96.7%
Answer:
96.7%
Step-by-step explanation:
87÷90×100
Suppose that a simple random sample of n = 6 individuals is obtained from a population that is skewed right with mean = 39 and standard deviation o = 2
-
(a) The shape of the sampling distribution of the sample mean is approximately normal Is this true or false?
(b) What is the mean of the sampling distribution of the sample mean?
(c) What is the standard deviation of the sampling distribution of the sample mean?
The shape is not normal since the sample size (6) is less than 30.
The mean and standard deviation of the sample distribution is 39, and 0.82 repectively
What is a normal distribution?The normal distribution is a distribution that is symmetric about the mean and has a bell shaped curve.
Given that
n = 6, mean = 39 and standard deviation o = 2.
Hence:
The shape is not normal since the sample size (6) is less than 30.
The mean of the sample distribution = 39, the standard deviation of the sample distribution = 2/√6 = 0.82
Find out more on normal distribution at: https://brainly.com/question/4079902
For which values is this undefined (what numbers makes the denominator 0)
Answer:
x = -6 and x = 1
Step-by-step explanation:
For the fraction to be undefined, find the zeros of the polynomial of the denominator.
x² + 5x - 6 = 0x² - x + 6x - 6 = 0x(x - 1) + 6(x - 1) = 0(x + 6)(x - 1) = 0x = -6 and x = 1Helpppp plssss!!!!!!!!!
Answer:
according to my calculations syour mada
The carpet for the office you completed cost $576. If you're using the same carpet in the new client's bedroom, how much will it cost? Round up to the nearest whole dollar. (Hint: You may want to find the area of each room and the cost of the carpet per square foot.)
$360 $280 $64 $225
with explanation please
The cost of similar carpet in the client's bedroom is $225
Given Data
Cost of Carpet = $576Area of Office = 16*19.2 = 307.2 square feetArea of Bedroom = 12*10 = 120 square feetif 307.2 square feet of carpet will cost $576
the 120 square feet of carpet will cost $x
cross multiplying we have
x = 120*576/307.2
x = 69120/307.2
x = $225
Learn more about area of shapes here:
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Find the unknown angle measurement
Answer:
65
Step-by-step explanation:
115 + x = 180
x = 180 - 115
x = 65
Answer:
65°
Step-by-step explanation:
A right-angle equals 90°. Two right angles would be a line like shown in the picture.
So, 90 + 90 = 180.
Since we know the whole amount of the 2 angles combined is 180, all we have to do is subtract 115 from 180 to find the missing value.
180 - 115 = 65
Therefore, 65° equals x.
-kiniwih426
1. Which quadratic equation has 5 and - 4 as its solutions?
Answer:
x²-x-20
Step-by-step explanation:
Using Vieta's formula
x²-(sum of roots)x+(product of roots)=0
x²-(5+-4)x+(5×-4)=0
x²-x-20=0
Estimate
10
12
−
3
8
using benchmark values. Your equation must show the estimate for each fraction and for the solution.
Step-by-step explanation:
I never learned this (for good reasons, I say). for me this is the strangest thing in math. math is precise. we are not guessing around when we can actually calculate things.
this is definitely ok, when just trying to decide, if one fraction is larger than the other, but to use that for an actual operation among fractions, is the biggest nonsense I have ever seen in math lessons (and not simpler than doing the precise calculation). again, math is a precise thing. the only valid level of imprecise answers is rounding, but only for the end result, not for intermediate results, because the rounding errors are rarely compensating for each other, they mostly pile up making the end result even less precise.
enough with the venting ...
benchmark fractions are the simple fractions (and their multiples)
1 (=1/1), 1/2, 1/3, 1/4, 1/5, 1/6
and then in steps of 2 :
1/8, 1/10, 1/12, ...
we try to find the closest simple fractions to our actual fractions and use them to estimate the actual result.
the simplest (but also normally the least precise) benchmark approach is using 1/2 as benchmark unit and 0, 1/2, 1 as benchmarks.
so, is 10/12 closest to 0, to 1/2 or to 1 ?
we know that 0 in 12ths would be 0/12, 1/2 would be 6/12, and 1 would be 12/12.
so, out of these 3 values 10/12 is closest to 12/12 (=1), so that is what you are choosing as representation.
is 3/8 closest to 0, 1/2 or to 1 ?
we would have 0/8, 4/8, 8/8.
and 3/8 is closest to 4/8 (= 1/2), and that is what we are choosing here as representation.
and the estimated result of 10/12 - 3/8 = 1 - 1/2 = 1/2 or 4/8 or 6/12.
let's pick 1/4 as benchmark unit.
so, are the numbers closest to
0, 1/4, 2/4, 3/4 or 1 (4/4) ?
for 10/12 we get then
0/12, 3/12, 6/12, 9/12, 12/12
and 10/12 is closest to 9/12 (3/4), which we pick as representation.
for 3/8 we get
0/8, 2/8, 4/8, 6/8, 8/8
if equidistant, we have to round up, so, we get 4/8 (2/4), which we pick as representation.
and the estimated calculation is
10/12 - 3/8 = 3/4 - 2/4 = 1/4
which is really horrible ...
2 and 4 are factors of 12 and 8. all smaller benchmark fractions (<1/4; so, e.g. 1/5, 1/6, 1/8. ...) are not meeting that criteria, making the benchmark finding much harder. so, I would not try that.
the real result is
the LCM of 12 and 8 is 24 (2×12 and 3×8).
so, we have
20/24 - 9/24 = 11/24 (almost 1/2).
so, actually, the benchmark unit of 1/2 is giving the best result here.
but to just do the exercise of benchmark units that are not factors of both denominators, let's pick 1/6
so, are the numbers closest to
0, 1/6, 2/6, 3/6, 4/6, 5/6 or 1 (6/6) ?
for 10/12 we get (all nicely)
0/12, 2/12, 4/12, 6/12, 8/12, 10/12, 12/12
so, 10/12 is closest to 10/12 (of course) = 5/6, which we pick as representation.
for 3/8 we get (ugh, we have to go for 24ths here too as 4×6 and 3×8)
0/24, 4/24, 8/24, 12/24, 16/24, 20/24. 24/24
3/8 = 9/24
so, the closest number to 9/24 is 8/24 (= 2/6), which we pick as representation.
and the estimated calculation is
10/12 - 3/8 = 5/6 - 2/6 = 3/6 = 1/2
did I say already that I don't like this ? that I don't see the advantage to the actual calculation ?
so, just in case : I don't like this (ugh) !
a cube has a volume of 1 cubic unit. what is the perimeter of one of its face
Answer: One face of a cube has a perimeter of a+a+a+a=4a.
The required perimeter of one of the faces of the cube is 4 units.
Given that,
A cube has a volume of 1 cubic unit. what is the perimeter of one of its faces is to be determined.
Perimeter is the measure of the figure on its circumference.
A cube is defined is a regular 3-dimensional structure whose dimension at every section is identical.
Here,
According to the question,
Area of the square = 1 cubic unit
a² = 1
a = 1
Now,
The perimeter of the square = 4a
= 4 (1) = 4 units
Thus, the required perimeter of one of the faces of the cube is 4 units.
Learn more about perimeter here:
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Over 5 days, Penelope practices the kazoo for 4 hours. She also plays video games every day. If she spent a total of 13 hours doing both, how many hours a day does she play video games?
A. 1.6 hours
B. 1.8 hours
C. 2 hours
D. 1.4 hours
Answer:
B : 1.8 hours a day.
Step-by-step explanation:
For 5 days she practices for 4 hours.
Subtract the 4 hours by the combined 13 hours.
Divide the remainding 9 hours of video game time by the 5 days.
Which of the following tables does NOT show a proportional relationship?
A
B
C
D
Answer:
A
Step-by-step explanation:
Hey there!
In this question, it is asking us what table doesn't have a proportional relationship
In table A, there is no seen relation ship between the numbers, columns, or rows
In all of the other tables, the numbers in each column is increasing by a number again and again meaning A is the incorrect table.
Answer:
A i believe
Step-by-step explanation:
Its not B because it is proportional by 0.6666666
Its not C because it is proportional by 3
It not D because its proportional by 1.33333333
Please mark as brainliest
i will give 100 points
Part A
(√6)² x (√2)²6 x 212Part B
(∛3)³ x (√12)²3 x 1236Addtional Information:
[tex]\bold{(\sqrt{x} )^2 = x}[/tex][tex]\bold{(\sqrt[3]{x} )^3 = x}[/tex]Answer:
(a) 12
(b) 36
Step-by-step explanation:
Knowledge check: [tex]\sqrt{x} =\sqrt[2]{x}[/tex]
Apply the exponent rule:
[tex](\sqrt[n]{x})^n=x\quad\textsf{if}\:n\:\textsf{is odd or}\:x\geq 0[/tex]
Question (a)
[tex](\sqrt{6})^2 \times (\sqrt{2})^2=6 \times 2=12[/tex]
Question (b)
[tex](\sqrt[3]{3})^3 \times (\sqrt{12})^2=3 \times 12=36[/tex]
A weather reporter in your area said that the speed of sound in air today is about
1,100 feet per second.
What is that speed in scientific notation?
Step-by-step explanation:
The base form (or root) of a verb is the form listed in the dictionary. It is the version of the verb without any endings (endings such as -s, -ing, and ed). The base form is the same as the infinitive (e.g., to walk, to paint, to think) but without the to.
Larry has a bag of candy that weighs 12 pounds. He wants to divide the candy into 5 equal groups. How much will each group weigh
Answer:
2.4 pounds
Step-by-step explanation:
12/5=2.4
To get 5 equal parts of 12, you have to do 12 divided by 5.
What is the MAD of these numbers: 52, 65, 63, 48, 52, 53, 60
Answer: About 5.59
Step-by-step explanation:
The mean absolute deviation (MAD) is where you subtract the mean from each value, find the absolute value of that value, and then find the average of those values.
Here is what it looks like.
[Step 1]
Find the average.
[tex]\displaystyle \frac{52+65+63+48+52+53+60}{7} =\frac{393}{7}=56.14[/tex]
[Step 2]
Find the absolute value of each data from the mean.
|52 - 56.14| = 4.14
|65 - 56.14| = 8.86
|63 - 56.14| = 6.86
|48 - 56.14| = 8.14
|52 - 56.14| = 4.14
|53 - 56.14| = 3.14
|60 - 56.14| = 3.86
[Step 3]
Find the average of these values.
[tex]\displaystyle\frac{4.14 + 8.86 + 6.86+8.14+4.14+3.14+3.86}{7} =\frac{39.14}{7}=5.59[/tex]
Aashna thinks that the largest place value that 82.3 and 11.45 have in common is the tens place. Jake thinks that the largest place value they have in common is the tenths place.
Answer the following questions with complete sentences:
Who is correct, Aashna or Jake?
Write how you would explain your answer to the person who answered incorrectly.
Answer:
Aashna is correct
Step-by-step explanation:
I would explain it that the tens places are 8 and 1, which are about 7 apart
The tens places however are 3 and 4 which is closer.
The floor of the cafeteria storage room is being tiled. The room is shaped like a parallelogram. The
parallelogram has a base of 19.5 feet and a height of 8 feet. Each package of tile will cover 4 square feet.
How many packages of tile will be needed to tile the floor?
Answer: 39
Step-by-step explanation: formula is bh. 19.5 times 8 is 156. divide by 4 because a package will cover 4 sq ft.
Answer:
39
Step-by-step explanation:
parallelogram area is base x height
A = b x h
A = 19.5 x 8 = 156 ft^2 or square feet
156 divided by 4 = 39
A six-sided number cube has sides labeled 1, 1, 2, 2, 3, and 3. What is known about the probability model for this situation? Select all correct answers.
The probability model for this situation is uniform.
The probability model for this situation is non-uniform
. The probabilities of the individual outcomes are the same.
The probabilities of the individual outcomes are not the same.
Answer:
The probabilities of the individual outcomes are the same.
The probability model for this situation is uniform.
Step-by-step explanation:
There is 2 of each number so there is an equal chance. when there is an equal chance that is uniform.
Answer:
i hope this helped :)
Step-by-step explanation:
What is the area of this figure? 4 cm 5 cm 5 cm
Answer:
100
Step-by-step explanation:
5*5*4=100
Write down the reciprocal of:5by8
to find the reciprocal just switch the numerator and the denominator.
= 8/5 ( 8 by 5 )
find the equation of the line drawn in the coordinate system below
Answer:
y=-2/1+4
or y=-2+4
Step-by-step explanation:
to find the slope, you count from one point of intersection to the next and the way it works is y/x so the line from one point to the next goes down 2 (making it negative also) and over 1, so -2/1 is your slope, and for the b part.. its just where the line intersects on the y axis (the line that goes up and down) so it would be 4
Name two sides that appear to be intersecting, but not perpendicular
Answer:
Two distinct lines intersecting each other at 90° or a right angle are called perpendicular lines. Here, AB is perpendicular to XY because AB and XY intersect each other at 90°. The two lines are parallel and do not intersect each other. They can never be perpendicular to each other.
Step-by-step explanation:
hope it helps, God bless!
The equation y+4x=100 represents your distance y (in meters) from the finish line x seconds after you begin your leg of a relay race. The equation y+3.5x=96 represents your opponent’s distance from the finish line. How far do you need to run until you catch up to your opponent?
