Considering the margin of error of a confidence interval, it is found that the correct option is:
It would be half as wide.
What is the margin of error of a confidence interval?It is modeled by:
[tex]M = z\frac{s}{\sqrt{n}}[/tex]
In which:
z is the critical value.s is the standard deviation.n is the sample size.From this, we get that the margin of error is inversely proportional to the square root of the sample size. Then, multiplying the sample size by 4, when it changes from 50 to 200, cuts the margin of error in half, making the interval half as wide.
More can be learned about the margin of error of a confidence interval at https://brainly.com/question/25890103
Answer: It would be half as wide
Step-by-step explanation:
If the principal had used a sample size of 200 students rather than 50 students, the length of the second interval would be half as wide compared to the original interval.
The width of a confidence interval is inversely proportional to the square root of the sample size. In this case, the sample size is multiplied by 4 (from 50 to 200), so the square root of the sample size is doubled. As a result, the width of the confidence interval is divided by 2, making it half as wide.
Therefore, the correct answer is: It would be half as wide.
NEED HELP ASAP!!!! GIVING BRAINLIEST+ 30 POINTS TO WHOEVER CAN ANSWER THESE TWO QUESTIONS THE BEST!!!
Answer:
For question 2: 15/4.
For question 3: 10/8.
Step-by-step explanation: To multiply fractions, you multiply the numerators and then the denominators. We should first transform any whole numbers into fractions. The first step is done below:
For question 2: 5 to 5/1.
For question 3: 2 to 2/1.
Now, we can multiply the numerators and denominators to answer the following:
For question 2: 5/1 x 3/4. The numerators are 5 and 3, so multiply those to get 15. The denominators are 1 and 4, so multiply those to get 4. Your answer is 15/4.
For question 3: 2/1 x 5/8. The numerators are 2 and 5, so multiply those to get 10. The denominators are 1 and 8, so multiply those to get 8. Your answer is 10/8.
Let me know if this is right! :)
I WILL GIVE 100 PRECENT BRAINLIEST. PLS ANSWER THIS CORRECTLY,DUE IN A DAY.
[tex]x^{2} =3x-1 , x^{2} +\frac{1}{x^{2} }= what[/tex].
pls answer correctly,will mark brainliest for 100 percent real.
Answer:
7
Step-by-step explanation:
1. Solve for x in [tex]x^2 = 3x - 1[/tex].
[tex]x=\frac{3+ \sqrt{5}}{2} ,\frac{3- \sqrt{5}}{2}[/tex]
2. Substitute [tex]x=\frac{3+ \sqrt{5}}{2} ,\frac{3- \sqrt{5}}{2}[/tex] into [tex]x^2 + \frac{1}{x^2} = y[/tex].
[tex]\frac{(3+\sqrt{5})^2}{(2,2(3-\sqrt{5}))^2} + \frac{(2,2(3-\sqrt{5}))^2}{(3 + \sqrt{5})^2} = y[/tex]
3. Solve for y in [tex]\frac{(3+\sqrt{5})^2}{(2,2(3-\sqrt{5}))^2} + \frac{(2,2(3-\sqrt{5}))^2}{(3 + \sqrt{5})^2} = y[/tex]
[tex]y=\frac{(3+\sqrt{5})^2}{(2,2(3-\sqrt{5}))^2} + \frac{(2,2(3-\sqrt{5}))^2}{(3 + \sqrt{5})^2}[/tex]
4. Therefore,
[tex]x=\frac{3 + \sqrt{5} }{2}, \frac{3-\sqrt{5}}{2}\\y=\frac{(3+\sqrt{5})^2}{(2,2(3-\sqrt{5}))^2} + \frac{(2,2(3-\sqrt{5}))^2}{(3 + \sqrt{5})^2}[/tex]
............
[tex]x= \frac{3-\sqrt{5}}{2}[/tex]≈[tex]0.381966011, y=7[/tex]
[tex]x= \frac{\sqrt{5}+3}{2}[/tex]≈[tex]2.618033989, y=7[/tex]
Hope this helps! Please let me know if you need more help, or if you think my answer is incorrect. Please rate and click the Thanks button if it helped you out. Brainliest would be MUCH appreciated. Have a great day!
Stay Brainy!
−Kallmekrish
The best way to predict the future is to create it.
- Abraham Lincoln, Past U.S. President
Answer:
7
Step-by-step explanation:
Given equation: [tex]x^2=3x-1[/tex]
Rearrange so that it is equal to zero:
[tex]\implies x^2-3x+1=0[/tex]
Quadratic formula
[tex]x=\dfrac{-b \pm \sqrt{b^2-4ac} }{2a}\quad\textsf{when}\:ax^2+bx+c=0[/tex]
Using the quadratic formula to solve the given equation:
[tex]\implies x=\dfrac{-(-3) \pm \sqrt{(-3)^2-4(1)(1)} }{2(1)}[/tex]
[tex]\implies x=\dfrac{3 \pm \sqrt{5}}{2}[/tex]
[tex]\implies x^2=\dfrac{7 \pm 3\sqrt{5}}{2}[/tex]
Substituting this into [tex]x^2+\dfrac{1}{x^2}[/tex]
[tex]\implies \dfrac{7\pm3\sqrt{5}}{2}+\dfrac{1}{\dfrac{7\pm3\sqrt{5}}{2}}[/tex]
[tex]\implies \dfrac{7\pm3\sqrt{5}}{2}+\dfrac{2}{7\pm3\sqrt{5}}[/tex]
[tex]\implies \dfrac{(7\pm3\sqrt{5})(7\pm3\sqrt{5})}{2(7\pm3\sqrt{5})}+\dfrac{4}{2(7\pm3\sqrt{5})}[/tex]
[tex]\implies \dfrac{(7\pm3\sqrt{5})(7\pm3\sqrt{5})+4}{2(7\pm3\sqrt{5})}[/tex]
[tex]\implies \dfrac{49\pm42\sqrt{5}+45+4}{2(7\pm3\sqrt{5})}[/tex]
[tex]\implies \dfrac{98\pm42\sqrt{5}}{2(7\pm3\sqrt{5})}[/tex]
[tex]\implies \dfrac{14(7\pm3\sqrt{5})}{2(7\pm3\sqrt{5})}[/tex]
[tex]\implies \dfrac{14}{2}[/tex]
[tex]\implies 7[/tex]
A rectangular flower bed measures 10 m by 6 m. It has a path 2 m wide around it. Find the area of the path.
Step-by-step explanation:
the easiest way to answer this is to calculate the area of the large rectangle (white) and subtract the area of the small rectangular (black).
we know the dimensions of the small rectangle : 10×6
and because of the 2m thick "frame" we know the dimensions of the large rectangle by adding 2×2 m to every small dimension : 14×10
(2 m on the top and the bottom, and 2 m left and right, so 4 m added in every direction).
the area of the large rectangle is
14 m × 10 m = 140 m²
the area of the small rectangle is
10 m × 6 m = 60 m²
so the area of the path is
140 - 60 = 80 m²
help, asap, explain, thx
a^2-b^2=8
a+2=2
then a-b=?
Step-by-step explanation:
a + 2 = 2
a = 2 - 2
a = 0
a² - b² = 8
0 - b² = 8
b² = -8
This question is impossible.
At noon, the temperature outside was 25 degrees. By 8:00pm, the temperature had dropped 27 degrees. What was the temperature outside at 8:00pm, in degrees?
Answer:
-2
Step-by-step explanation:
25°-27°= -2°
At noon, the temperature outside was 25 degrees. By 8:00pm, the temperature had dropped 27 degrees. What was the temperature outside at 8:00pm, in degrees?
= 25 - 27
= - 2°
James has 3 blue candies and 3 green candies. 3 people come in and take 2 candies. What is the probability that they do not take 2 candies of the same color?
~ pls solve, i'm really confused
Answer:
33.3333333333
Step-by-step explanation:
we see that there are 6 candies in total
we also see that there is a 50% chance that someone will take out 3 candies of the same color,
50/3 = 16.66666666666667
so the chance of getting 2 marbles of the same color is 16.66666666666667 + 16.66666666666667 which is 33.3333333333
I hope I could help
a 5 year lease for a office space states that the annual rent is 62,000 for the first year and will increase by 7% each additional year of the lease. what will the total rent expense (nearest cent) be for the entire 5 year lease?
PLSSS HELPPPPPP
The question is below:
[tex]3(x - 2) + 7x = \frac{1}{2} (6x - 2) [/tex]
Solving It[tex]3(x - 2) + 7x = \frac{1}{2} (6x - 2) \\ \\ \implies3x - 6 + 7x = ([\frac{1}{2} \times 6 \: x] - [\frac{1}{2} \times 2]) \\ \\ \implies10x - 6 = ([\frac{1}{ \cancel2} \times \cancel 6 \: x] - [\frac{1}{ \cancel2} \times \cancel2]) \\ \\ \implies 10x - 6 = 3x - 1 \\ \\ \fbox{Bringing (3x )to left side whereas( - 6 )in right side} \\ \\ \implies10x - 3x = - 1 + 6 \\ \\ \implies7x = 5 \\ \\ \therefore x = \frac{5}{7} [/tex]
The Solution is = [tex] \frac{5}{7}[/tex]
[tex]\text\red{One Solution set is possible.}[/tex]
Hope This HelpsFind the area of the unshaded region.
Answer: 21
Step-by-step explanation:
Show that among all rectangles with area a the square has the minimum perimeter
Answer:
Step-by-step explanation:
What is the domain of function f?
Answer:
The domain of a function f(x) is the set of all values for which the function is defined, and the range of the function is the set of all values that f takes. (In grammar school, you probably called the domain the replacement set and the range the solution set.
Answer:
B. -∞ [tex]\leq[/tex] x [tex]\leq[/tex] ∞
Step-by-step explanation:
The domain of a graph is all the x-values it covers. Since this graph does not have any arrows at its end or beginning points, we can assume it goes on forever. Lines that go on forever always have an infinite domain.
A figure is made up of two triangles and a square. The triangles and the square have the same base length of 5 feet. The triangles have a height of 4 feet. What is the total area of the figure?
Answer:
45 ft^2.
Step-by-step explanation:
Area = area of the square + 2 * area of one triangle
= 5^2 + 2 * 1/2 * 5 * 4
= 25 + 20
= 45 fT^2.
A circular concrete patio has a circumference of about 53 yards. The patio has a diameter of d yards. Which expression best represents the value of pi?
The expression that best represents the value of pi is 53/d.
What is the expression that represents pi?Pi can be described as the ratio of the circumference of a circle to its diameter. The circumference of the patio is the distance round the patio. The formula that can be used to represent the circumference of the patio is πD
53 = πD
π = 53/d
To learn more about how to determine the circumference of a circle, please check: https://brainly.com/question/14351152
How do I prove if EFGH is a rhombus in this paragraph proof?
Explanation:
There are many approaches you can take. Perhaps one of the easiest is to show the sides of the rhombus are all the same length. This can be done several ways. Here are a couple of them.
__
1.A square has degree 4 rotational symmetry, so will map to itself when rotated by any multiple of 90°. This means the midpoints of adjacent sides will map to themselves, and any segment joining the midpoints of adjacent sides will map to itself. When segments map to themselves, they are congruent, hence the four sides of EFGH are congruent, and the figure is a rhombus.
__
2.The sides of a square are the same length and all corner angles are right angles. Midpoints of the sides divide the sides into congruent parts, so all of the segments PF, FQ, QG, GR, and so on are congruent. This means all of the triangles PFE, QGF, RHG, and SEH are congruent by the LL postulate. Corresponding sides of congruent triangles are congruent, so the sides of EFGH are congruent, and the figure is a rhombus.
A mother shared $400 amongst her three daughters Amy, Beatrice and Claire in the ratio of 3:2:5 respectively. How much money did Amy receive?
Answer:
$120
Step-by-step explanation:
Total Parts = 3+2+5 = 10
400 / 10 = $40 per part
Amy = 40 x 3 = 120
An auto mechanic has collected $1468.63 for parts, including 6% tax. For accounting purposes, he must determine exactly how much of the total was in sales tax.
HINT: Let "x" stand for the dollar amount of the parts BEFORE tax was added.
Answer:To calculate the sales tax that is included in a company's receipts, divide the total amount received (for the items that are subject to sales tax) by "1 + ...
Step-by-step explanation:
A pitcher of water contains 1/4 liters of water. The water is poured equally among 5 glasses. How many liters of water are in each glass
Answer:
-3.86
Step-by-step explanation:
what is the answer please i need help asap
Answer: a third
Step-by-step explanation: im simply a genius
find the simple interest on $6000 invested for 8 years at 4%
Answer:
$1920.00
Step-by-step explanation:
You want to calculate the interest on $6000 at 4% interest per year after 8
year(s).
The formula we'll use for this is the simple interest formula, or:
I= P * r * t
Where:
• P is the principal amount, $6000.00.
• r is the interest rate, 4% per year, or in decimal form, 4/100=0.04.
• t is the time involved, 8.…..year(s) time periods
So, t is 8...year time periods.
To find the simple interest, we multiply 6000 x 0.04 x 8 to get that:
The interest is: $1920.00
Which answers describe the shape below? Check all that apply.
A. Square
B. Trapezoid
C. Quadrilateral
D. Parallelogram
E. Rhombus
F. Rectangle
Answer:
The answers are C, D, and F
Step-by-step explanation:
The table below shows a proportional relationship. True or False?
According to the image, the table shows a relationship that is not proportional. First of all, you cannot multiply a number by 0 and get something other than 0. Anything multiplied by 0 is always 0.
Second, the rule is different for each row.
2x5=10
4x4=16
6x3.6=22
A proportional relationship must increase by the same amount, and this does not, which means it is not proportional.
Find common ratio
0+4(1)=42+4(2)=104+4(3)=166+4(4)=22Yes they are proportional
Please answer the question in the picture :) tysm
Answer:
a= 50
b=50
c=110
d=20
Answer:
Step-by-step explanation:
This is a kite. So the two triangles formed by the longest diagonal being drawn in form 2 congruent triangles.
Therefore c = 110 degrees.
d = 20 degrees.
a and b are found by noting that every triangle has 180 degrees.
110 + 20 + a = 180 Combine the left.
130 + a = 180 Subtract 130 from both sides
a = 180 - 130
a = 50 degrees
b also equals 50 degrees. Congruent triangles
Answer
a = 50b = 50c = 110d = 206 h −1=−3
what is the answer
Answer:
h=[tex]-\frac{1}{3}[/tex]
Step-by-step explanation:
[tex]6h-1=-3\\6h=-2\\h=-\frac{2}{6} \\h=-\frac{1}{3}[/tex]
Answer:
[tex]\boxed{\sf{h=-\dfrac{1}{3}=-0.33 }}[/tex]Step-by-step explanation:
Isolate by the h from one side of the equation.
6h-1=-3
First, add by 1 from both sides.
[tex]\sf{6h-1+1=-3+1}[/tex]
Solve.
-3+1=-2
Rewrite the problem down.
6h=-2
Then, you divide by 6 from both sides.
[tex]\sf{\dfrac{6h}{6}=\dfrac{-2}{6} }[/tex]
Solve.
-2/2=-1
6/2=3
Rewrite as a fraction.
[tex]\boxed{\sf{h=-\dfrac{1}{3}=0.33}}[/tex]
Therefore, the correct answer is h=-1/3=0.33.I hope this helps you! Let me know if my answer is wrong or not.
The length of a square is 3x - 4 units. Find the area in terms of x.
Answer:
9x^2 - 24x + 16 is area in terms of x alternativly (3x-4)^2 is also true
Step-by-step explanation:
L * W = area length = width on a sqare so L * L = area too
(3x - 4) * (3x - 4)
use foil method
9x^2 - 24x + 16
Answer:
9x^2 − 24x + 16
Step-by-step explanation:
To find the area of a square, you use the formula
A = x^2
So we plug in 3x-4 for x
A = (3x-4)^2
A = 9x^2 − 24x + 16
FIND THE VOLUME OF EACH SNOWBALL)
Joshua and Isabella are having a snowball fight. Joshua has a snowball, shaped as a sphere, with a radius of 6 cm. Isabella also has a spherical snowball that is 6cm across the center of the sphere find the volume of each snowball use 3.14 for pi
Answer:
Step-by-step explanation:
Find the measure of the arc or angle indicated
Answer:
D) 130
Step-by-step explanation:
So there are three arc sections in this problem,
The first one is given: 158
To find the arc between S and R, you can use the angle of point T and double it.
So:
36 * 2 = 72
The second arc is 72
Now for the one that they want you to find, you have to add the two arcs that you have and substract it from 360, which is the angle of a whole circle
Like so:
360 - (158 + 72) = 130
Answer:
130
Step-by-step explanation:
Tiles with numbers 1 through 9 are placed in a bag. What is the probability of choosing an even number that is greater than or equal to 4? 1/9, 2/9, 3/9 or 4/9
Answer:
3/9
Step-by-step explanation:
Okay, first let's list all the numbers between 1 and 9
1, 2, 3, 4, 5, 6, 7, 8, 9
Now let's list all of the even numbers from the previous list
2, 4, 6, 8
Now let's list all of the numbers from the previous list that are equal to, or greater than, 4
4, 6, 8
That's only three potential numbers, out of a total of nine numbers
So it's a 3/9 chance
What is the surface area? 5 cm 7 cm 4 cm square centimeters
Answer: 166 feet^2
Step-by-step explanation:
The equation for surface area is 2(wl+hl+hw). So that would be:
Surface Area = 2×(5×7 + 5×4 + 7×4) = 166 feet^2
Answer:16 square cm
Step-by-step explanation: Surface area = base, height (Side 1 + Side 2+ Side 3) H = Side 1 = 5 cm
Side 2 = 7cm
Side 3 = 4cm (add all these numbers ) = 16 Square cm
2. What is the scale factor of the new scale drawing to the original scale drawing (SD2 to SD1)? 10 cm on then
Answer:
To find each length in the new scale drawing, you can multiply each length in the original scale drawing by this scale factor between the two scale drawings. ▫.
fdddkgStep-by-step explanation:
Find m<2
Round your answer to the tenth.