Answer:
the P-value = 0.1977
conclusion: Since the p-value is not small;
we reject null hypothesis
hence, the data does not support claim that more than half of the bathroom scales underestimate weight.
Step-by-step explanation:
Given the data in the question;
let X represent the number of successes ( the weight is underestimated ) in n independent Bernoulli trials, each with the success probability p
X - Bin( n,p).
so
Null hypothesis H₀ : p ≤ 0.5
Alternative hypothesis Hₐ : p > 0.5
now, compute np₀ and n( 1 - p₀ )
np₀ = (50)(0.5)
np₀ = 25
n( 1-p₀ ) = (50)(1 - 0.5)
n( 1-p₀ ) = 25
we can see that both values are greater than 10.
∴ the sample proportion is approximately normally distributed;
P" - N ( p₀, [tex]\frac{p_{0}(1-p_0)}{n}[/tex] )
sample proportion p" = 28/50 = 0.56
standard deviation will be;
σ[tex]_{p"[/tex] = √( p₀(1-p₀) / n )
σ[tex]_{p"[/tex] = √( 0.5(1-0.5) / 50 )
σ[tex]_{p"[/tex] = √( 0.25 / 50 )
σ[tex]_{p"[/tex] = 0.07071
Next is the Z-score
z = p" - p₀ / σ[tex]_{p"[/tex]
z = 0.56-0.5 / 0.07071
z = 0.06 / 0.07071
z = 0.85
from table,
the probability that a standard normal random variable takes on a value greater than 0.85 is approximately 0.1977
Therefore, the P-value = 0.1977
conclusion: Since the p-value is not small;
we reject null hypothesis
hence, the data does not support claim that more than half of the bathroom scales underestimate weight.
p = 0.197663
Es fills his sport bottle wit 1.2 liter of water how much milliliters of water is in ed sport bottle
your most exciting day of school
Answer:
first day. yehahhhhhhhh
Answer:
School isn't exciting for me, lol.
Step-by-step explanation:
1. Dylan invested $47,000 in an account paying an interest rate of 4% compounded annually. Assuming no deposits or withdrawals are made, how long would it take, to the nearest tenth of a year, for the value of the account to reach $79,200?
2. x^2 + y^2 = 153 and y = -4x. If (x, y) is a solution to the system of equations above, what is the value of y^3?
Answer:
(1) 13.0 years
(2) [tex]y^{3} =[/tex] {-1728, 1728}
Step-by-step explanation:
(1)
Compound annually:
[tex]Pe^{rt}[/tex] = A
(47000)[tex]e^{(0.04)(t)}[/tex] = 79200
[tex]e^{(0.04)(t)}[/tex] = [tex]\frac{79200}{47000}[/tex]
ln([tex]e^{(0.04)(t)}[/tex]) = ln([tex]\frac{79200}{47000}[/tex])
ln and e cancel out.
(0.04)(t) = ln([tex]\frac{79200}{47000}[/tex])
t = [tex]\frac{ln(\frac{79200}{47000})}{0.04}[/tex]
t = 13.0 years
(2)
[tex]x^{2} +y^{2} = 153\\y = -4x[/tex]
Substitute y with -4x.
[tex]x^{2} + (-4x)^{2} = 153[/tex]
Solve for x.
x = {-3, 3}
Plug in x values into any equation to find y.
y = -4(-3) and y = -4(3)
y = {-12, 12}
[tex]y^{3}[/tex] = [tex]-12^{3}[/tex] = -1728
[tex]y^{3}[/tex] = [tex]12^{3}[/tex] = 1728
Answer:
13.3
Step-by-step explanation:
I got it right
Find the volume of the sphere below. Leave your answer in terms of pi.
Answer:
C) 972π
Step-by-step explanation:
Volume of a sphere formula:
V = 4/3πr³
Given:
r = 9
Work:
V = 4/3πr³
V = 4/3π9³
V = 4/3(729)π
V = 972π
What statement best describes a trapezoid? *
1 point
a. All sides are equal and opposite sides are parallel
b. Exactly one pair of parallel lines
c. Has 2 sets of parallel lines and four 90 degree angles
d. Has 2 equal sides and 3 acute angles
Answer:b
Step-by-step explanation:
Answer:
B
Step-by-step explanation:
because it has two parallel side and and other are just lines but being quadrilateral its sum is 360
Water in a 14mm diameter pipe flows at 2m/s. How many liters flow along the pipe in 1 minute
Answer:
The flow rate will be say around 10000 liters per hour. Or 180 liters per minute.
Step-by-step explanation:
NEED HELP ASAP FREE BRAINLIST
9514 1404 393
Answer:
113.04, 4, 452.1678.5, 11, 863.5153.86, 10, 1538.6Step-by-step explanation:
When calculations are repetitive, I like to let a calculator or spreadsheet do them. Here we have used the formula for the base area:
B = πr² = 3.14×r²
In the second figure, the radius is half the diameter, so is 5 units.
The table in the attachment lists the base area B, the height h (from the figures), and the volume V. These are the values that you need to drag and drop to the boxes in your problem.
V = 113.04 · 4
V = 452.16 units³ . . . showing how the numbers are used in the first figure
Choose all the possible solution that makes the inequality statement True
x + 15 ≤ 35
O 20, 21, 22
O 18, 19, 20
O -18,-19,-20
O 50, 51, 52
Answer:
18, 19, 20
-18,-19,-20
Step-by-step explanation:
x + 15 ≤ 35
x ≤ 35 - 15
x ≤ 20
x must be 20 or less than it
What is 1/6 as a percent.
Answer:
16.66 %
Step-by-step explanation:
1 / 6 as a percent
= ( 1 / 6 ) x 100
= 100 / 6
= 16.66 %
What’s another word for average
Answer:
Mean,median, mode, rule, par, normal etc.
Step-by-step explanation:
PLZ HELP ASAP!!! 9 equals x over 2 + 2
PLEASE HELP DUE IN 2 HOURS!
4.22 g/cm to lbs/ft
Answer:
The answer is 0.28 lbs/ft or 0.3 lbs/ft, if rounded.
Step-by-step explanation:
In order to solve, divide the mass / length value by 14.882.
I hope this helps you.
Someone help me please!!!Divide 100 in the ratio 2:3.
Answer:
pirwvjihpwrugh
Step-by-step explanation:
wrhfuwhfuhugfrifhi
Answer:
not possible
Step-by-step explanation:
It can't be possible because the ratio would be 50:1 is possible
22 points. The windows on the top row of a building are similar to the windows on the bottom row. Rectangle ABCD is similar to rectangle PQRS. If AB = 60 inches, what is PQ?
A. 60 in.
B. 40 in.
C. 30 in.
D. 20 in.
PQ are the first two letters and AB are the first two letters.
Since the windows are similar the letters in one are in the same orientation as the other ones.
This means PQ would be the same as AB
PQ = 60
The answer is A. 60 in.
Answer:
a
Step-by-step explanation:
Find a basis of the subspace
Find a basis of the subspace of R4
that consists of all vectors perpendicular to both
[1,0,5,-9] and [0,1,9,-7].
A basis of the subspace that consists of all vectors perpendicular to both [1,0,5,-9] and [0,1,9,-7] is [-5, -9, 5].
To find a basis of the subspace that consists of all vectors perpendicular to both [1,0,5,-9] and [0,1,9,-7], we can use the concept of the cross product.
Let's consider the vectors [1,0,5,-9] and [0,1,9,-7] as vectors A and B, respectively.
We can find a vector C that is perpendicular to both A and B by taking the cross product of A and B.
C = A × B
To compute the cross product, we can use the following determinant formula:
C = [i, j, k]
[1, 0, 5]
[0, 1, 9]
Expanding the determinant, we have:
C = (0 × 9 - 1 × 5)i - (1 × 9 - 0 × 5)j + (1 × 5 - 0 × 1)k
= -5i - 9j + 5k
Therefore, we have found a vector C that is perpendicular to both [1,0,5,-9] and [0,1,9,-7], which is C = [-5, -9, 5].
To find a basis of the subspace, we can use this vector C as the basis vector. Since it is the only vector in the subspace, it forms a basis.
So, a basis of the subspace that consists of all vectors perpendicular to both [1,0,5,-9] and [0,1,9,-7] is [-5, -9, 5].
for such more question on vectors perpendicular
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Solve each equation by taking square roots : NEED THIS ASAP WILL GIVE BRAINLIEST
Answer:
1.) M=9,-9 2.) x=10,-10 3.) n=3,-3 4.) x=2,-2
Step-by-step explanation:
Find the area and perimeter of ABC. A(-2,-4)B(1,5)C(2,2)
The area of triangle ABC is 23.5 square units and the perimeter is 20.4174 units.
To find the area and perimeter of the given triangle ABC, we need to apply the following formulas:Formula for Distance between two points:
The distance between two points (x1, y1) and (x2, y2) is given by:
AB = √(x2-x1)²+(y2-y1)²BC = √(x3-x2)²+(y3-y2)²AC = √(x3-x1)²+(y3-y1)²
Formula for Area of Triangle: If we know the length of the three sides of a triangle then,
using Heron's formula, we can calculate the area of the triangle as:
area = √s(s-a)(s-b)(s-c)where a, b, and c are the lengths of the sides of the triangle and s is the semi-perimeter of the triangle, which is given as s = (a+b+c)/2
Formula for Perimeter of Triangle: The perimeter of the triangle is the sum of the lengths of its sides.
That is: perimeter = AB + BC + ACArea of ΔABCAB
= √(1 - (-2))² + (5 - (-4))²AB
= √3²+9² = √90BC
= √(2 - 1)² + (2 - 5)²BC
= √1²+3² = √10AC
= √(2 - (-2))² + (2 - (-4))²AC
= √4²+6²
= √52Semi-Perimeter (s)
= (AB + BC + AC)/2
= (√90 + √10 + √52)/2
= 12.8572Area of ΔABC
= √s(s-a)(s-b)(s-c)
= √12.8572(12.8572-√90)(12.8572-√10)(12.8572-√52)
= 23.5
Perimeter of ΔABC = AB + BC + AC = √90 + √10 + √52 = 20.4174
To learn more about : area
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Simplify the expression:
6(5 + x) - 2x
Answer: 30+4x
Step-by-step explanation: Expanding the expression you would get 30+6x-2x and then you subtract the 6x and 2x to get 4x
Answer:
30+4x.
Step-by-step explanation:
yehdbebdbejeiiwiwuebdbsjjjwiwjeurnfnd
40 POINTS !! 40 POINTS !!
PLEASE HELP , DONT SKIP !
NO LINKS OR ILL REPORT YOU AND GET YOUR ACCOUNT DELETED.
Answer:
6
Step-by-step explanation:
Evan can do one sit-up every 5 seconds. How many minutes will it take him to do 24 sit-ups ?
Answer: 120 minutes.
not sure if im right lol brainliest or a thank u please :)) <3
Help me please :(.....
Answer:
1, 1, 3, 3
Step-by-step explanation:
For an even function, f(-x) = f(x).
So, f(-1) = f(1) = 1.
Similarly, the other three blanks are 1, 3, and 3, respectively.
Find the area of the following figure: 14ft 6ft 9ft
Step-by-step explanation:
s = a+b+c / 2
= 14+6+9 / 2
= 14.5 feet
Area = √s(s-a)(s-b)(s-c)
= √14.5×(14.5 - 14)×(14.5 - 6)×(14.5 - 9)
ANSWER: 18.410255294265 feet^2
Convert .45 tons to kilograms to the nearest hundredth
Answer:
40,823.31 kilograms.
Step-by-step explanation:
find the missing base below
|
|
|
V
Step-by-step explanation:
area of a parallelogram is bh
so if a parallelogram has a base of b and a height of 10 and an area of 140
b(10)=140
b=14
Hope that helps :)
100 POINTS!!
What is the value of x? Enter your answer in the box.
How many of these figures have at least one vertex?
Answer:
Two of those figures have a vertex.
Step-by-step explanation:
Hope this helped Mark BRAINLIEST!!!
The number of figures has at least one vertex is 2. Therefore, option C is the correct answer.
What is a vertex?A vertex is a point in geometry where two or more curves, lines, or edges converge. As a result of this definition, vertices are the intersection of two lines that create an angle as well as the corners of polygons and polyhedral.
From the given figure,
Sphere: Spheres have no vertex (the surface is a curve).
Triangular pyramid: Triangular pyramid has 5 vertex, 4 faces and 6 edges
Cube: Cube has 8 vertex, 6 faces and 8 edges.
Cylinder: A cylinder has 0 vertices. A cylinder has 2 edges. A cylinder has 2 faces and 1 curved surface.
Therefore, option C is the correct answer.
Learn more about the vertex here:
https://brainly.com/question/18933031.
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Which expression is equivalent to 14y−12?
14(y−2)
−14(y−12)
14(y−12)
−14(y−2)
Answer:
The answer is 1/4 (y-2)
Step-by-step explanation:
I got the answer correct on my test!
What is the total surface area of a cylinder with a radius of 12 mm and height of 3 mm? (Use 3.14 for it.) DO NOT PUT LABEL ON ANSWER.
Answer:
A≈1130.97
------------------------------------------------------
Step-by-step explanation:
A=2πrh+2πr2=2·π·12·3+2·π·122≈1130.97336
The number of points Marcus scored in different rounds of a computer board game is shown
235 342 328 352 352 306 317
6. What score does Marcus need in his next
game to have a mean of exactly 325?
Answer:
583
Step-by-step explanation:
The mean of a data set is the average of the data set. It can be found by adding up all of the values and then dividing by the total number of values added. In this case, one is given the mean, and one needs to find a missing value. Since there is a missing element, add one to the total number of values in the data set. The missing element is represented by the parameter (x). Set up an equation and solve:
[tex]\frac{(236)+(342)+(328)+(352)+(352)+(306)+(317)+(x)}{8}=325\\[/tex]
Simplify,
[tex]\frac{2233+x}{8}=352[/tex]
Inverse operations,
[tex]2233+x=2816\\\\x = 583[/tex]
Answer:
It’s 367
Step-by-step explanation:
please help i’ll give brainliest