Answer:
Approximately 68%.
Step-by-step explanation:
The Empirical Rule states that, for a normally distributed random variable:
Approximately 68% of the measures are within 1 standard deviation of the mean.
Approximately 95% of the measures are within 2 standard deviations of the mean.
Approximately 99.7% of the measures are within 3 standard deviations of the mean.
In this problem, we have that:
Mean = 1, standard deviation = 0.05.
Estimate the percent of pails with volumes between 0.95 gallons and 1.05 gallons.
0.95 = 1 - 0.05
1.05 = 1 + 0.05
So within 1 standard deviation of the mean, which by the Empirical Rule, is approximately 68% of values.
68.29% of pails have volumes between 0.95 gallons and 1.05 gallons.
Z score is used to determine by how many standard deviations the raw score is above or below the mean. The z score is given by:
[tex]z=\frac{x-\mu}{\sigma} \\\\where\ x=raw\ score,\mu=mean, \sigma=standard\ deviation[/tex]
Given that:
μ = 1, σ = 0.05
[tex]For\ x=0.95:\\\\z=\frac{0.95-1}{0.05} =-1\\\\For\ x=1.05:\\\\z=\frac{1.05-1}{0.05} =1[/tex]
P(0.95 < x < 1.05) = P(-1 < z < 1) = P(z < 1) - P(z < -1) = 0.8413 - 0.1587 = 68.29%
Find out more at: https://brainly.com/question/15016913
What is the distance between points (8,11) and (8,−2) on a coordinate plane?
Enter your answer in the box.
units.
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.
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
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
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:
Answer Expert Verified
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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.
You are saving money for a new phone. You must have at least $800 saved up in
order to be able to purchase the newest IPhone. So far you have saved $215 and
earn $15 per hour working at your part time job. Write and solve an inequality to
determine the least amount of hours you must work in order to reach your goal.
Let number of hours needed to work = x
Multiply number of hours by rate: 15x
Add what you already have saved:
15x + 215
This needs to equal at least 800:
The equation becomes:
15x + 215 >= 800
Solve for x:
15x + 215 >= 800
Subtract 215 from both sides
15x >= 585
Divide both sides by 15
X >= 39
They have to work at least 39 hours.
please help i will mark brainlist
Answer:196.8
Step-by-step explanation:brainlyest plz plz I need it for my rank
Practice:
Determine the coordinates of the point on the unit circle corresponding to the given central angle. If necessary, round your results to the nearest hundredth.
180°
a. (-1, 0)
b. (0, 1)
c. (0, -1)
d. (1, 0)
Please select the best answer from the choices provided
Answer:
A. (-1, 0)
Step-by-step explanation:
I calculated it logically
What is the surface area?
And an explanation too but if not it’s ok
Answer:
356 cm.
Step-by-step explanation:
Whenever you find the surface area of a rectangular prism, remember this mnemonic:
LISA WILSON LOST HER WITCH HAT TWICE.
(TWICE) 2 (LENGTH × WIDTH + LENGTH × HEIGHT + WIDTH × HEIGHT)
In this rectangular prism, the length is 8, the width is 14, and the height is 3 (the order of numbers in length, width, and height does not matter).
Now, we can just plug in the numbers.
LENGTH × WIDTH + LENGTH × HEIGHT + WIDTH × HEIGHT
[tex]2(8*14+8*3+14*3) = 356.[/tex]
Therefore, the surface area of this rectangular prism is 356 centimeters.
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
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
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! :)
-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
PLS HELP I REALLY NEED HELP FAST
Answer:
1st one
Step-by-step explanation:
4a - 2b = 10
write down the value of 2b-4a
Answer:I think 11 will be the answer
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:
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.
ANSWER FAST!!!
1. x - 10.9= 16.7
2. x - 5=37
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
This 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
Rena found that her bamboo plant measured 1,889 millimeters tall. About how many meters tall is the plant? 1 meter (m) = 100 centimeters (cm) 1 centimeter (cm) = 10 millimeters (mm)
A. 2 m
B 3 m
C. 1 m
D. 4m
Answer:
A.
Step-by-step explanation:
1889mm to meters is 1.889 meters, round it up you get 2 meters.
The answer is A.
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.)
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
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
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:
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
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
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