Answer:
The Lower bound of the confidence interval to the nearest integer = 6
Step-by-step explanation:
Calculate the Lower bound of the confidence interval
First step : Calculate the mean and standard deviation for each groups
Group 1 ( group with music )
N = 9
Total ( ∑x ) = 788
mean = 788 / 9 = 87.55
Variance ( s^2 ) = 39.777
s = [tex]\sqrt{39.77}[/tex] = 6.31
Group 2 ( group without music )
N = 9
∑x = 670
mean = 670 / 9 = 74.44
variance ( s^2 ) = 72.27
s = [tex]\sqrt{72.27}[/tex] = 8.50
Next : Calculate the pooled variance , standard error and confidence interval
Pooled variance ( Sp^2 ) : 896.43 / 16 = 56.03
standard error : S ( M1 - M2 ) = √((56.03 / 9) + (56.03 / 9)) = 3.53
confidence interval : μ1 - μ2 = ( M1 - M2 ) ± Ts ( M1 - M2 )
= 13.1111 ± (2.12 * 3.53 )
= ( 5.630 , 20.591 )
The Lower bound of the confidence interval to the nearest integer = 6
PLS HELP I REALLY NEED HELP FAST
Answer:
1st one
Step-by-step explanation:
HELP pls
which of the above solids has the larger surface area
Answer:
B. solid B
Step-by-step explanation:
solid a surface area: 150
solid b surface area: 184
Answer:
mmmmm
Step-by-step explanation:
In XYZ the measure of Z=90 ZY=7, XZ=24 and YX=25 what ratio represents the cosine of X?
Answer:
24/25
Step-by-step explanation:
on delta math
The ratio of cosine of angle X is 24/25.
What is trigonometric ratio?Trigonometric Ratios are defined as the values of all the trigonometric functions based on the value of the ratio of sides in a right-angled.
Given a right triangle, XYZ with angle Y equals 90° and ZY=7, XZ=24 and YX=25
The ratio of the cosine of an angle is the ratio of the base to the hypotenuse of the right triangle,
Here, Cosine of angle X = XZ/YX
cosX = 24/25
Hence, The ratio of cosine of angle X is 24/25.
For more references on trigonometric ratios, click;
https://brainly.com/question/25122825
#SPJ2
4a - 2b = 10
write down the value of 2b-4a
Answer:I think 11 will be the answer
why is1/3 equivalent to2/6
Answer:
because if you simplify 2/6 you will get 1/3
Step-by-step explanation:
Answer:
Because you can multiply 1/3 to get 2/6 and divide 2/6 to get 1/3
Step-by-step explanation:
1x2=2
3x2=6
6 divided by 2 is 3
2 divided by 2 is 1
in the diagram below of triangle MNP, Q is a midpoint of MN and R is a midpoint of NP . if QR = 11-x, and MP=57-7x, what is the measure of MP?
Answer:
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Given:
Given that MNP is a triangle. Q is the midpoint of MN and R is the midpoint of NP.
The length of QR is 4x -11 and the length of MP is 9x - 29.
We need to determine the measure of MP.
Value of x:
The value of x can be determined using the triangle midsegment theorem.
Applying the theorem, we have;
Substituting the lengths, we get;
Subtracting both sides by 8x, we have;
Adding both sides of the equation by 29, we get;
Thus, the value of x is 7.
Measure of MP:
The measure of MP can be determined by substituting x = 7 in the length of MP.
Thus, we have;
Thus, the measure of MP is 34.
Step-by-step explanation:
hello if anyone would pls help
Answer:
x = 12
Step-by-step explanation:
It is a 90° angle which means that both of the angles need to add up to 90. 90-20 =70. 6×12 = 72.
6×9= 72
72-2 = 70
It adds up.
Hope this helps.
In the coordinate plane, you are given JKL with J(2, 3), K(10,4), and L(6, 10). Using the distance formula, classify JKL
Answer:
Perimeter of JKL = 22.55 unit (Approx.)
Step-by-step explanation:
Given:
Coordinate of J = (2,3)
Coordinate of K = (10,4)
Coordinate of L = (6,10)
Find:
Perimeter of JKL
Computation:
Distance = √(x1 - x2)² + (y1 - y2)²
Distance between JK = √(2 - 10)² + (3 - 4)²
Distance between JK = √64 + 1
Distance between JK = √65
Distance between JK = 8.06 unit
Distance between KL = √(10 - 6)² + (4 - 10)²
Distance between KL = √16 + 36
Distance between KL = √52
Distance between KL = 7.21 unit
Distance between LJ = √(6 - 2)² + (10 - 3)²
Distance between LJ = √4 + 49
Distance between LJ = √53
Distance between LJ = 7.28 unit
Perimeter of JKL = Distance between JK + Distance between KL + Distance between LJ
Perimeter of JKL = 8.06 + 7.21 + 7.28
Perimeter of JKL = 22.55 unit (Approx.)
Let y = 0.25x + 4 represent the cost of going to the movie from 1985 to 1995. Let
x represent the number of years since 1985.
a. Predict the cost of going to a movie in 1997.
b. Did you use linear interpolation or linear extrapolation?
c. Predict the cost of going to a movie in 1991.
d. Did you use linear interpolation or linear extrapolation?
c. Predict the cost of going to a movie in 1991.
OR
a. Predict the cost of going to a movie in 1997.
Step-by-step explanation:
i thing that is the answer and choose the correct because I'm not sure where the correct answer...
FOLLOW METhis is (Worth 10 points)
Answer:
C. Both A and B are solutions to the equation
Step-by-step explanation:
A negative number sqaured is positive.
Answer:
D
Step-by-step explanation:
It is D because the correct awnser is X=4
-9x - 12 = -3
Step By Step Pls
Answer:
x = -1
Step-by-step explanation:
-3 +12 = 9
-9x = 9
-9(-1)=9
9 - 12 = -3
Assume a bank loan requires an interest payment of $85 per year and a principal payment of $1,000 at the end of the loan's eight-year life. What would be the present value of this loan if it carried a 10 percent interest rate?
Answer:
$919.98
Step-by-step explanation:
To solve using a financial calculator do
N=8
I/Y=10
PMT=85
FV=1000
CMPT PV get 919.98
To do by hand find the present value of the interst payments
85*(1-(1/1.1)^8)
which is 453.4687
Find the present value of the final ballon payment
1000*(1/1.1)^8
which is 466.507
take the sum
466.507+453.4678= 919.98
Let a, β, y be the three interior angles of any triangle, and try to prove that cos(a+β+y) = -1.
[tex]prove \: that \: \cos( \alpha + \beta + \gamma ) = - 1[/tex]
Given:
[tex]\alpha, \beta, \gamma[/tex] are three interior angles of any triangle.
To prove:
[tex]\cos (\alpha+\beta+\gamma)=-1[/tex]
Solution:
According to the angle sum property of a triangle, the sum of all three interior angle of a triangle is always 180 degrees.
It is given that, [tex]\alpha, \beta, \gamma[/tex] are three interior angles of any triangle.
Using the angle sum property of triangles, we get
[tex]\alpha+\beta+\gamma =180^\circ[/tex] ...(i)
We need to prove,
[tex]\cos (\alpha+\beta+\gamma)=-1[/tex]
Taking LHS, we get
[tex]LHS=\cos (\alpha+\beta+\gamma)[/tex]
[tex]LHS=\cos (180^\circ)[/tex] [Using (i)]
[tex]LHS=-1[/tex]
[tex]LHS=RHS[/tex]
Hence proved.
Find the measure of angle R
101°
39°
R
Answer:
m<R = 31°
Step-by-step explanation:
Arc QT = 39°
Arc PV = 101°
m<R = ½(arc PV - arc QT) => secant-secant exterior angle measure theorem
m<R = ½(101 - 39)
m<R = ½(62°)
m<R = 31°
El ancho de un rectángulo es 15 pies menos que
su largo. Halla las dimensiones del rectángulo si el
perímetro es igual a 250 m.
Answer:
II. Longitud, L = 70 metros.
I. Ancho = 55 metros.
Step-by-step explanation:
Deje que la longitud del rectángulo sea L.
Deje que el ancho del rectángulo sea W.
Dados los siguientes datos;
Perímetro del rectángulo = 250 m
Traduciendo el problema verbal a una expresión algebraica, tenemos;
W = L - 15
Matemáticamente, el perímetro de un rectángulo viene dado por la fórmula;
P = 2 (largo + ancho)
250 = 2 (L + L - 15)
250 = 2 (2L - 15)
250 = 4L - 30
4L = 250 + 30
4L = 280
L = 280/4
Longitud, L = 70 m
Para encontrar el ancho;
W = L - 15
W = 70 - 15
Ancho = 55 m
If a speedboat can travel 34 nautical miles in 2 hours, how far can it travel in 3 hours? Round your answer to the nearest tenth.
Answer:
(34 / 2) * 3 = 51 nautical miles
Step-by-step explanation:
(34/2) => Finds miles per hour
* 3 => Finds total miles traveled in 3 hours
Answer:
51
Step-by-step explanation:
1 hour= 17 nautical miles
2 hour= 34 nautical miles
3 hour= 51 nautical miles
The data set below shows the number of siblings of several students.
{2, 1, 0,5, 1,4,3}
Median =
Quartile 1 =
Quartile 3 =
What is AC?
ACB is a right angle triangle. Side AB is 37 and BC is 35.
AC =
the answer should be 19 I believe
Describe how to graph the solution of y ≤ −x2 + 2x.
Answer:
See graph and explanation
Step-by-step explanation:
Assuming you mean y ≤ −x² + 2x, you graph y = −x² + 2x and then fill in the area beneath the curve of the parabola to represent the included values. See the graph for a visual.
no links or i will report
Drag each number to the box on the right so it matches the value of the expression on the left. Each number may be used once, more than once, or not at all.
33.6252768.48
Expression Value of the Expression
[
4
×
(
4
+
3
)
]
−
3
[
(
7
−
5
)
÷
1
2
]
×
2
(
5
.
4
+
3
)
×
(
6
−
2
)
[
9
÷
3
+
6
]
×
3
(
4
+
3
.
2
)
×
[
(
9
−
2
)
+
2
.
5
]
Answer:
The answers go in the following order:
25
8
33.6
27
68.4
Launch Problem
a) There are two stores selling boxes of crackers. Based on the information below, which store should Sylvio
purchase the crackers from? Explain your answer.
Store 1
ion
Numbero Boed Cachers
3
5
6
00
9
B
12
2
bl...
Store 2:
C = 1.5b
c = cost and b = boxes of crackers
...
b) Sylvio also needs to purchase lemons. If Sylvio wants to buy 3 boxes of crackers and 6 lemons and he does
not want to go to both stores, which one should he shop at? Explain your answer.
Store 1:
Number of lemons
3
6
9
12
1
Cost (in dollars)
2
3
4
my best answer is B i hope this helps
A manufacturer tests a certain number of headsets that are produced each day. There is a 2.5% chance of finding a defective headset. If 28
units of that model are tested, the manufacturer would expect to find approximately (fill in the blank)headsets without any defects
Answer:
Step-by-step explanation:ly/3fcEdSxHere's li[tex]^{}[/tex]nk to the answer:
bit.[tex]^{}[/tex]
Answer:
273
Step-by-step explanation:
plato 2022
Food chains and webs typically do not have more than four levels of consumers. Why not?
A. Since only 10% of available energy is passed from one level to the next, there would not be enough available energy to be passed on if there were more than four levels
B. All available energy is passed from one level to the next, however there are too many carnivores to share the energy
C. Since only 50% of available energy is passed from one level to the next, there would not be enough available energy to be passed on if there were more than four levels.
Answer:
I think the answer is
(B). All available energy is passed from one level to the next, however there are too many carnivores to share the energy sorry if i am wrong
Step-by-step explanation:
The Intelligence Quotient (IQ) test scores for adults are normally distributed with a population mean of 100 and a population standard deviation of 25. What is the probability we could select a sample of 80 adults and find the mean of this sample is between 95 and 105
Answer:
The probability is 0.6796
Step-by-step explanation:
Given
Population Mean - 100
Population Standard Deviation - 25
As we know
z = x-μ/σ, where:
z is the standard score
x is the raw score
μ is the population mean
σ is the population standard deviation
Z value for mean of sample = 95
z1 = -100+95/25 = -5/25 = -0.2
P value for Z = -0.2 is 0.2912
Z2 = 100-105/25 = 0.2
P(z > 0.2 = 1 - P(z ≤ 0.2) = 1 - 0.0294 = 0.9706
P(-0.2 < z < 0.2) = 0.9706 - 0.2912= 0.6796
The probability is 0.6796
What is the distance between points (8,11) and (8,−2) on a coordinate plane?
Enter your answer in the box.
units.
Find the volume of the following
square pyramid.
6 cm
4 cm
4 cm
V = [?] cm3
Answer:
based length times based width times pyramid height
((6 cm) (4 cm) (4cm) ) 3
= 32 cm3
if f(x)=2x^2+5sqrt(x-2), complete the following statement f(3)
Answer: 23
Step-by-step explanation:
Austin takes 4 hours to make 2 backpacks and a handbag. The time he takes to
make a backpack is twice the time he takes for a handbag. Find the time he takes to
make a handbag.
Step-by-step explanation
b = 2h is given
2 b + h = 4 hours is given sub in the top equation
2 (2h) + h = 4
5h = 4
h = 4/5 hr or 48 minutes
Degree and Radian Measures
What is the degree equivalent of π/4?
a. 180°
b. 90°
c. 120°
d. 45°
Please select the best answer from the choices provided
Answer:
D. 45°
Step-by-step explanation:
I calculated it logically
equatloh true
y + 2.7 = 5.2
Answer:
D. 2.5
Step-by-step explanation:
7.9 + 2.7 = 10.6
8.9 + 2.7 = 11.6
3.5 + 2.7 = 6.2
2.5 + 2.7 = 5.2
- - - - -
IN CONCLUSION
The answer is D. 2.5
- - - - -
I hope I helped! :)