Using the formula for the margin of error, it is found that a smaller confidence interval would be obtained as follow:
D. Increase the sample size to 64.
What is the margin of error of a confidence interval?It is given by the following formula:
[tex]M = z\frac{s}{\sqrt{n}}[/tex]
In which:
z is the critical value(direct proportional with the confidence level).s is the standard deviation.n is the sample size.For a smaller interval, we need to decrease the margin of error, which is possible increasing the sample size, hence option D is correct.
More can be learned about margin of error at https://brainly.com/question/25779324
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Given m||n find the value of x.
Answer:
x =17
Step-by-step explanation:
The angles are supplementary so they add to 180
6x-20 + 6x - 4 = 180
12x -24 = 180
Add 24 to each side
12x-24+24 = 180+24
12x = 204
Divide by 12
12x/12 =204/12
x = 17
real fourth roots of -625
Answer:
-5
Step-by-step explanation:
[tex]\sqrt[4]{-625}[/tex]
=[tex]\sqrt[4]{-5*-5*-5*-5}[/tex]
=-5
Which ordered pair (p, r) is the solution to the given system of linear equations?
(5p - 3r = 1
8p + 6r= 4
Answer:
[tex](\frac{1}{3};\frac{2}{9})[/tex]
Step-by-step explanation:
[tex]\left \{ {{10p-6r=2} \atop {8p+6r=4}} \right. \ \left \{ {{18p=6} \atop {8p+6r=4}} \right. \ \left \{ {{p=\frac{1}{3} } \atop {r=\frac{2}{9} }} \right.[/tex]
Answer:
Its D
Step-by-step explanation:
Edge 2021
Surface Area of a Triangular Pyramid, please help!
Answer:
surface area of the triangular pyramid
=(1/2×9×7.8)+(3×1/2×9×12.3)
=35.1+166.05
=201.15 inch²
Jared bought a new amplifier for his guitar by borrowing the money from his mom. The amplifier cost $235. Jared is paying his mom back $18 each week. If Jared still owes his mom $73, how many weeks has he been paying her back?
Answer:
9 weeks
235 -73=162 (this is the amount he paid)
162/18=9 (he has been paying his mom for 9 weeks)
Answer:
9 weeks
Step-by-step explanation:
235-73 = 162 (how much he has paid her thus far)
162/18 (how many times he payed her) = 9
A spinner is divided into 8 equal sections where 3 are black, 4 are yellow, and I is red. If it is spun randomly, what is the probability of it landing either on a yellow or a red section?
Given:
A spinner is divided into 8 equal sections where 3 are black, 4 are yellow, and 1 is red.
To find:
The probability of it landing either on a yellow or a red section.
Solution:
We have,
Total number of sections = 8
Black sections = 3
Yellow sections = 4
Red sections = 1
Now,
Either yellow or red sections = 4 + 1
= 5
Now, the probability of it landing either on a yellow or a red section is:
[tex]\text{Required probability}=\dfrac{\text{Either yellow or red sections}}{\text{Total number of sections}}[/tex]
[tex]\text{Required probability}=\dfrac{5}{8}[/tex]
Therefore, the required probability is [tex]\dfrac{5}{8}[/tex].
A ladder is put against a building. The building is 25 feet tall. The ladder's base is 13.5 feet from the building. Find the angle which the ladder makes with the ground.
the answer is 16.0 or 11.0
(x+3)(x−1)
Cual seria su resultado
Answer:
x² -1x + 3x -3
= x² +2x -3
hope it helps
Find the quotient.
2^3/2^-1
Answer:
-4
Step-by-step explanation:
2^3 = 2 * 2 * 2 = 8
2^-1 = -2 = -2
2^3/2^-1 = 8/-2
=> 4/-1
=> -4
Hope it helps :)
Answer:
2^4 (or) 16
Step-by-step explanation:
2^3=2×2×2=8
2^-1 = 1/2
2^3/2^-1 = 8/(1/2) = 8×2 = 16
alternative method:
2^3/2^-1 = 2^(3-(-1))
= 2^(3+1)
= 2^4
= 16
Find the perimeter of the figure.
1 in
1 in
5 in
3 in
3 in
PLEASE HURRY ITS URGENT
Answer: My teacher told me to use 180 and divide something.
Step-by-step explanation:
Answer:
isnt itjust 15?
Step-by-step explanation:
1 +1+1+1 = 4 5+3+3 = 11 then 11+4 = 15 if this is incorrect im sorry
of the 10 people attending a seminar, 5 have gray hair.
What is the probability that a randomly selected person will have gray hair?
Answer:
1/2
Step-by-step explanation:
So we know that there is a total of 10 people.
5 of these have grey hair.
To find the chances of a somone having grey hair, we need to divide people with grey hair over total people:
[tex]\frac{value}{total} =probability[/tex]
This is the same division we use to find things such as percentage and ratio as well.
Now lets plug in our numbers and solve:
[tex]\frac{5}{10}=\frac{1}{2}[/tex]
So half of the people have grey hair.
Or(in percentage):
The probability is 50% that someone will have grey hair.
Hope this hepls!
Can someone help me again with these math work?
Answer:
it look like its 4 and the 4 over 4/5 I think
Dave Bowers collects U.S. gold coins. He has a collection of 49 coins. Some are $10 coins, and the rest are $20 coins. If the face value of the coins is $690, how many of each denomination does he have?
How many $10 coins does he have?
How many $20 coins does he have?
SOLVE EQUATION BY TAKING SQAURE ROOTS.
64m^2 -5 = 76
Answer:
m=9/8
Step-by-step explanation:
64m^2 -5=76
64m^2 =76+5
64m^2=81
m^2=81/64
m=[tex]\sqrt{81/64}[/tex]
m=9/8
Step-by-step explanation:
64m²-5=76
64m²-5+5=76+5
64m²=81
m²=64/81
m=
[tex] \sqrt{64/81} [/tex]
m=8/9
nd interest for a loan
To pay for an $18,900 truck, Joe made a down payment of $3600 and took out a loan for the rest. On the loan, he paid monthly payments of $338.67 for 4
years.
Answer: He will pay this amount, with interest, over a 4-year period payment that he must make After paying 20% as a down payment, they finance the Determine the monthly payments needed to amortize the loan and months, that payments can be made under each of the following options before the money runs out.
Step-by-step explanation:
What is the value of X?
Answer:
The answer is 46'
Step-by-step explanation:
The first triangle is:85'+53'+Y=180' so y=42'
The second triangle with X is:92+42'+X=180' so X=46'
please help! (listing BRAINLIST and giving points)
Answer:
Step-by-step explanation:
sin x = opposite / hypotenuse
sin x = b / c
cos x = adjacent / hypotenuse
cos x = a / c
tan x = opposite / adjacent
tan x = b / a
I need help seeing what I did wrong
Answer: The two roots are x = 3/2 and x = -2
=========================================================
Explanation:
You have the right idea so far. But the two numbers should be 3 and -4 since
3*(-4) = -123+(-4) = -1The -1 being the coefficient of the x term.
This means you need to change the -3x and 4x to 3x and -4x respectively. The other inner boxes are correct.
---------
Refer to the diagram below to see one way to fill out the box method, and that helps determine the factorization.
If we place a 2x to the left of -2x^2, then we need an -x up top because 2x*(-x) = -2x^2
Then based on that outer 2x, we need a -2 up top over the -4x. That way we get 2x*(-2) = -4x
So we have the factor -x-2 along the top
The last thing missing is the -3 to the left of 3x. Note how -3*(-x) = 3x in the left corner and -3*(-2) = 6 in the lower right corner.
We have the factor 2x-3 along the left side.
---------
The two factors are (2x-3) and (-x-2) which leads to the factorization (x+3)(-x+2)
The last thing to do is set each factor equal to 0 and solve for x
2x-3 = 0 solves to x = 3/2 = 1.5-x-2 = 0 solves to x = -2The two roots are x = 3/2 and x = -2
Rick used 4 2/3 yards of fabric to sew 3 1/2 shirts. What is the unit rate of cloth he used in terms of yards per shirt?
evaluate the algebraic expression for the given values of x = 3 and Y =4 7 x - 2y-1
Answer:
the answer is 12
Step-by-step explanation:
7x-2y-1. x=3. y=4
7×3-2×4-1
=21-8-1
=12
3. What is the value of LC in the diagram?
A
4x
(2x
B
3x
С
O A. 90°
O B. 60°
O C. 80°
OD. 40°
Answer: B
Step-by-step explanation:
4x+3x+2x=180
9x = 180
x = 20
20x3 = 60
help
Sadie needs 3.1 yards to make one costume for each choir member in the play. How much fabric will she need if she has to make 5 costumes?
A.
15.5 yards
B.
10.5 yards
C.
18.6 yards
D.
16.5 yards
Answer:
A. 15.5 yards
Step-by-step explanation:
3.1 ×5=15.5
please answer thank you
Answer:
1536 m²
Step-by-step explanation:
To find the area of the lateral faces, calculate the height of a lateral face first.
The height of a lateral face = S
The blue triangle is right-angled, so we can use Pythagoras Theorem to find S.
[tex] \sqrt{ {h}^{2} + {0.5b}^{2} } [/tex]
[tex] = \sqrt{ {16}^{2} + {12}^{2} } [/tex]
[tex] = \sqrt{400} [/tex]
= 20 m
Total surface area of a pyramid
= total surface area of lateral faces + base area
Area of 1 lateral face
= (base × height) ÷ 2
= (24×20)÷2
= 240 m²
Total surface area of the pyramid
= 240×4 + 24×24
= 1536 m²
Which statement about y= x2 – 3x – 40 is true? O A. The zeros are 5 and -8, because y = (x - 5)(x+ 8). B. The zeros are 5 and -8, because y= (x + 5)(x-8). C. The zeros are -5 and 8, because y = (x - 5)(x+ 8). O D. The zeros are - 5 and 8, because y = (x + 5)(x-8).
Answer:
C
Step-by-step explanation:
A p e x
Answer:
the answer is " The Zeros are -5 and 8, becouse y=(x+5)(x-8)
Step-by-step explanation:
i just took the test
A newborn weighs 7 lb and 13 oz. How many grams (g) does he weigh?
Answer:
69
Step-by-step explanation:
pls help on number 6!!
Answer:
729 cubic feet
Step-by-step explanation:
anyone can help with this ?
Answer:
The first one : x^2 - 8x + 15 sq ft
Step-by-step explanation:
To find the ares you need to multipy L and W : (x - 3) x ( x - 5)
(x - 3) x ( x - 5)
(x times x) - ( 3x + 5x) + ( 5 x 3)
=x^2 - 8x + 15
If this helps you, please give brainliest!
Answer:
(x-3)(x-5)=x^2-5x-3x+15=x^2-8x+15
Step-by-step explanation:
Because the patio is a rectangle, so it's area is I.w=(x-3)(x-5)
Consider the expression below. Assume the variable m represents an integer. 6m(3m + 21) Enter an expression in the box that uses the variable m and makes the equation true. (Simplify your answer completely. If no expression exists, enter DNE.) 6m(3m + 21) = 9 Given that m represents an integer, is 6m(3m + 21) divisible by 9?
Answer:
[tex](a)\ 6m(3m + 21) = 9(2m^2 + 14m)[/tex]
(b) Yes, it is divisible by 9
Step-by-step explanation:
Given
[tex]6m(3m + 21)[/tex]
Solving (a): Complete the blanks
[tex]6m(3m + 21) = 9 [\ ][/tex]
Expand the bracket
[tex]6m(3[m + 7]) = 9 [\ ][/tex]
[tex]6m*3(m + 7) = 9 [\ ][/tex]
Express 6m as 2m * 3
[tex]2m*3*3(m + 7) = 9 [\ ][/tex]
[tex]2m*9(m + 7) = 9 [\ ][/tex]
Rewrite as:
[tex]9 * 2m(m + 7) = 9 [\ ][/tex]
Multiply the bracket by 2m
[tex]9 * (2m^2 + 14m) = 9 [\ ][/tex]
Divide both sides by 9
[tex]2m^2 + 14m = [\ ][/tex]
Hence, the bracket will be filled with: [tex]2m^2 + 14m[/tex]
So:
[tex]6m(3m + 21) = 9(2m^2 + 14m)[/tex]
Solving (b): Is [tex]6m(3m + 21)[/tex] divisible by 9?
In (a), we have:
[tex]6m(3m + 21) = 9(2m^2 + 14m)[/tex]
The leading factor "9" implies that the expression is divisible by 9
please help me please i really need help please
Step-by-step explanation:
right answer
...... y= 1/2x²
Step 5: Mathematics Problem 10 of 10 Question: The variables x and y are directly proportional, and y = 4 when = 3. What is the value of y when 15? А. B. 12 C16 D. 20 E. I don't know d O ype here to search
Step-by-step explanation:
y=kx
4=k*3,4=3k,4/3=k.to find y when X is 15 ,y=kx,y=4/3*15=60/3=20