Answer:
The minimum percentage of stores that sell a gallon of milk for between $3.47 and $3.91 is of 75%.
Step-by-step explanation:
Chebyshev Theorem
The Chebyshev Theorem can also be applied to non-normal distribution. It states that:
At least 75% of the measures are within 2 standard deviations of the mean.
At least 89% of the measures are within 3 standard deviations of the mean.
An in general terms, the percentage of measures within k standard deviations of the mean is given by [tex]100(1 - \frac{1}{k^{2}})[/tex].
In this question:
Mean of $3.69, standard deviation of $0.11.
What is the minimum percentage of stores that sell a gallon of milk for between $3.47 and $3.91?
3.47 = 3.69 - 2*0.11
3.91 = 3.69 + 2*0.11
So the minimum percentage within 2 standard deviations of the mean, which by Chebyshev's Theorem, is of 75%.
Answer:75%
Step-by-step explanation:
What is formula for area of the base of a cylinder? A) Area = Pi/r. B) Area= Pi *r C) A= Pi* r ^. or. (r*r). D) A= diameter* radius
Answer:
The formula for the area of the base of a cylinder is π r²
I upped the steaks plz answer this, I will give brainiest
Answer:
[tex] \displaystyle x = \frac{3}{4} [/tex]
Step-by-step explanation:
we are given that
[tex] \displaystyle P = \left(x, - \frac{ \sqrt{7} }{4} \right)[/tex]
we want to figure out x
remember that,
In unit circle x coordinate is considered cos and y coordinate is considered sin
so in order to figure out x we should figure out the value of cos to do we can consider Pythagoras trig indentity
given by
[tex] \displaystyle \sin ^{2} ( \theta) + { \cos}^{2} ( \theta) = 1[/tex]
we are given sin=-√7/4 thus
substitute:
[tex] \displaystyle \left( - \frac{ \sqrt{7} }{4} \right) ^{2} + { \cos}^{2} ( \theta) = 1[/tex]
simplify square:
[tex] \displaystyle \frac{7}{16} + \cos ^{2} ( \theta) = 1[/tex]
move left hand side expression to right hand side and change its sign:
[tex] \displaystyle \cos ^{2} ( \theta) = 1 - \frac{7}{16} [/tex]
simplify Substraction:
[tex] \displaystyle \cos ^{2} ( \theta) = \frac{9}{16} [/tex]
square root both sides:
[tex] \displaystyle \cos ^{} ( \theta) = \pm\frac{3}{4} [/tex]
since in unit circle cos is x and P belongs to Q:IV negative cos isn't applicable
hence,
[tex] \displaystyle x = \frac{3}{4}[/tex]
Identify the range of the function shown in the graph.
10
17
A. All positive real numbers
B. All real numbers
C. 20
D. All positive integers
Answer:
I believe the answer is B) All real numbers
Equation: -5 3/4- 3 1/2 Please help meh.
Answer:
[tex]-9\frac{1}{4}[/tex]
Step-by-step explanation:
[tex]-5\frac{3}{4}-3\frac{1}{2}[/tex]
Step 1: Factor out the common term [tex]-1[/tex]
[tex]=-\left(5\frac{3}{4}+3\frac{1}{2}\right)[/tex]
Step 2: Add the whole numbers
[tex]5 + 3 = 8[/tex]
Step 3: Combine the fractions:
[tex]\frac{3}{4}+\frac{1}{2} = \frac{5}{4}\\\\=-\left(8+\frac{5}{4}\right)[/tex]
Step 4: Convert the improper fractions to mixed numbers
[tex]\frac{5}{4} = 1\frac{1}{4}\\\\=-\left(8+1\frac{1}{4}\right)[/tex]
Step 5: Add the numbers
[tex]8 + 1 =9 \\\\=-9\frac{1}{4}[/tex]
Therefore, the answer to the equation is [tex]-9\frac{1}{4}[/tex] in fraction, and decimal; [tex]9.25[/tex]
Claire is 11 years old. She is 5 years younger than her brother Gary who is y years old. Which equation represents this situation?
Answer:
y = 11 + 5
Step-by-step explanation:
So she is 5 years younger, which would mean that it would be y - 5, and using inverse operations, we get y = 11 + 5
hope this helps:/
6+4*{3+7}=
um i need help
Answer:
46
Step-by-step explanation:
6+4×10=6+40
6+40=46
How can you check the sample space of a probability model?
Answer: The sample space S for a probability model is the set of all possible outcomes. For example, suppose there are 5 marbles in a bowl. One is red, one is blue, one is yellow, one is green, and one is purple.
Step-by-step explanation: Hope this helped :)
There are 4 green marbles and 2 red marbles in the jar. You just randomly draw one by one without replacement and stop when you get the first red marble. Let X be the number of green marbles you draw when you stop. Get the probability distribution of X and find the expectation of it
Answer:
Then the probability distribution is:
P(0) = 1/3
P(1) = 4/15
P(2) = 1/5
P(3) = 2/15
P(4) = 1/15
The expected value for X is:
EV = 1.33...
Step-by-step explanation:
We have a total of 6 marbles in the jar.
The probability of getting a red marble in the first try (X = 0) is equal to the quotient between the number of red marbles and the total number of marbles, this is:
P(0) = 2/6 = 1/3
The probability of drawing one green marble (X = 1)
is:
First, you draw a green marble with a probability of 4/6
Then you draw the red one, but now there are 5 marbles in the jar (2 red ones and 3 green ones), then the probability is 2/5
The joint probability is:
P(1) = (4/6)*(2/5) = (2/3)*(2/5) = 4/15
The probability of drawing two green marbles (X = 2)
Again, first we draw a green marble with a probability of 4/6
Now we draw again a green marble, now there are 3 green marbles and 5 total marbles in the jar, so this time the probability is 3/5
Now we draw the red marble (there are 2 red marbles and 4 total marbles in the jar), with a probability of 2/4
The joint probability is:
P(2) = (4/6)*(3/5)*(2/4) = (2/6)*(3/5) = 1/5
The probability of drawing 3 green marbles (X = 3)
At this point you may already understand the pattern:
First, we draw a green marble with a probability 4/6
second, we draw a green marble with a probability 3/5
third, we draw a green marble with a probability 2/4
finally, we draw a red marble with a probability 2/3
The joint probability is:
P(3) = (4/6)*(3/5)*(2/4)*(2/3) = (2/6)*(3/5)*(2/3) = (1/5)*(2/3) = (2/15)
Finally, the probability of drawing four green marbles (X = 4) is given by:
First, we draw a green marble with a probability 4/6
second, we draw a green marble with a probability 3/5
third, we draw a green marble with a probability 2/4
fourth, we draw a green marble with a probability 1/3
Finally, we draw a red marble with a probability 2/2 = 1
The joint probability is:
P(4) = (4/6)*(3/5)*(2/4)*(1/3)*1 = (1/5)*(1/3) = 1/15
Then the probability distribution is:
P(0) = 1/3
P(1) = 4/15
P(2) = 1/5
P(3) = 2/15
P(4) = 1/15
The expected value will be:
EV = 0*P(0) + 1*P(1) + 2*P(2) + 3*P(3) + 4*P(4)
EV = 1*(4/15) + 2*( 1/5) + 3*( 2/15) + 4*(1/15 ) = 1.33
So we can expect to draw 1.33 green marbles in this experiment.
The line passes through points (2,7) and (4,8)
Answer:
Explanation:
hope it will helps please heart my answer!
PLEASE HELP ME WITH THIS QUESTION I WILL GIVE BRAINLIEST!!!
Answer:
I think is B
Step-by-step explanation:
The question is ...(see the picture)
Thank you very much！！
Answer: [tex]3x^{-2.5}[/tex]
Step-by-step explanation:
Given
Expression is
[tex]\dfrac{12\sqrt{x}}{4x^3}[/tex]
Using exponent property [tex]x^a\cdot x^b=x^{a+b}[/tex]
Writing expression in the form of [tex]k\cdot x^n[/tex]
[tex]\Rightarrow \dfrac{12\sqrt{x}}{4x^3}=\dfrac{3\times 4}{4}\times \dfrac{x^{0.5}}{x^3}\\\\\Rightarrow \dfrac{3\times 4}{4}\times x^{0.5-3}\\\\\Rightarrow 3x^{-2.5}[/tex]
If the line that connects the boat to the parasail is reeled in by 20
meters and the angle of elevation changes to 38° from the boat, how
many meters above the lake is the man to the nearest tenth of a
meter?
A)
67.4 m
B)
85.6 m
9
86.3 m
D)
177.9 m
Answer:
A) 67.4 m
Step-by-step explanation:
Let "x" represent how many meters above the lake is the man
Reference angle = 32°
Opposite = x
Hypotenuse = 129.5 m
Apply ye trigonometric function SOH:
Sin 32° = Opp/Hyp
Son 32 = x/129.5
129.5 × sin 32° = x
x = 68.6245447
This is close to A) 67.4 m
when accessing your credit card ,information online you cannot
Answer:
C. make purchases
Step-by-step explanation:
took the test
What is the 100th term of this sequence?
an= -7n+ -5
Choose the correct answers.
AUTOMOBILE LIABILITY BASIC INSURANCE PREMIUMS
Coverage Class 1A Class 10 Class 10 Class 2A Class 2B Class 3
Bodily Injury
(in $1,000's):
10/20
50/100
100/300
Property Damage
$5,000
$10.000
$25.000
317.80
383.60
407.50
365.40
440.70
480.90
413.40
497.80
530.92
587.00
709.30
751.88
.
761.00
917.90
976.96
428.40
517.60
549.70
61.00
67.00
73.20
69.40
76.20
84 80
79.80
87.80
96.80
113.40
124.80
136.00
163.80
180.00
196.00
THE
81.80
90.00
98 20
Class 1A: No male driver under 25 car not used for business and not driven to or from work
Class 1B: No male driver under 25: car not used for business and driven to work fewer than
ten miles away
Class 1C: No male driver under 25; car not used for business and driven to work at least ten
Class 2A: One or more male drivers under 25 who are married or are not owner(s) of the car.
Class 28: Unmarried male driver under 25 who is owner of the car.
Class 3: No male driver under 25 car used for business
Sue Jones is insured for bodily injury in the amount of 10/20. She is at fault in an accident in which Albert
Smith is injured. Also injured in the accident is a pedestrian, Sam Dickson. Albert's medical expenses
total $12,000, Sam's come to $8,000. How much will the insurance pay?
a. for Albert
b. for Sam
c. total
Please somebody help me out!!
Answer:
See below.
Step-by-step explanation:
These work just like ordinary algebraic expresssions, except you have to remember always: i^2 = -1 i squared is negative one!
(4 - 3i)(4 + 3i) "FOIL" the expression to get 16 - 3i + 3i - 9i^2. But i^2 = -1, so this is the same as 16 - 3i + 3i + 9. Combine like terms.
Ans. 25
(4 - 3i)(i) Distribute the i to the two terms of the binomial.
4i - 3i^2 = 4i - 3(-1)
Ans. 4i + 3
(6i)(4 + 3i) = (6i)(4) + (6i)(3i) = 24i + 18i^2 = 24i + 18(-1)
Ans. 24i -18
(6i)(i) = 6i^2 = 6(-1)
Ans. -6
(-5)(4 + 3i) = -20 - 15i That's it; there's no i^2 to deal with.
Ans. -20 - 15i
(-5)(i) = -5i Again, that's all there is to it.
Ans. -5i
I need help question attached. 20 point!
Answer:
[tex]45\:\mathrm{in}[/tex]
Step-by-step explanation:
The volume of a square pyramid is given by [tex]V=\frac{1}{3}\cdot s^2\cdot h[/tex]. Substituting given values, we have:
[tex]3,840=\frac{1}{3}\cdot 16^2\cdot h,\\h=\frac{3,840\cdot 3}{256}=\boxed{45}[/tex]
Answer:
30 in.
Step-by-step explanation:
[tex]h=3\frac{V}{a^{2} }[/tex]
[tex]h=3\frac{3840}{16^{2} }[/tex]
45.12
That is not an option, so go with the closest one 30 in.
In a certain Algebra 2 class of 30 students, 14 of them play basketball and 10 of them play baseball. There are 14 students who play neither sport. What is the probability that a student chosen randomly from the class plays both basketball and baseball?
Help a man out
I need your help s.o.s PLEASE
Answer:
Area = 17.5yd
Step-by-step explanation:
Area formula is Area = h * b/2
Area = 5 * 7/2
Area = 17.5
Answer:
is this area or volume? if it's Area 1/2 b*h
Please help me solve this problem
Answer:
D, 225
Step-by-step explanation:
Because this equation already has a1, it's useless to test with that, so instead solve for a2.
You would have a2 - 5a1, which would get you a2 = 5(9) because we already know what a1 is, which is 9. a2 = 45
Now we have a2, which is 45, so now we solve for a3
We would have a3 = 5a2 = a3 = 5(45) which is 225 which is a3
Also thanks for the fat 18 points dude, you really put 36 points into this one big value hope this one helped you a lot
Which of the following relation is a function.
Answer:
Which of the following relations is a function- A
Determine which relation is a function- A
Step-by-step explanation:
A function is a type of relationship where x's do not repeat. So, to solve find where each y has a unique x value. In the first question, A is correct because the x values; -3, 0, 2; never repeat. Then, on the next question A is correct because it is a relation written in slope-intercept form, which is a type of function notation.
what is the additive inverse of the complex number 9-4i?
B on edg
-9+4i
Answer:
-9 + 4i
Step-by-step explanation:
The additive inverse ("opposite") of a complex number a + bi is -a - bi.
Just use the opposites of a and b.
graph triangle cuz with vertices x(-2, -4), y(2, -1), and z(4, -3) on the coordinate grid.
simplification of 1.5kg : 250gm
ratio question
Answer:
1500g:250g
=
6:1
Hope I could help
4+3.2)×(9−2)+2.5
No links hellp meeee!
Answer:
52.9
??
Step-by-step explanation:
20)
The cost (C) of materials for a deck varies jointly with the width (w) and the length (1).
If c = $470.40 when w = 12 and 1 = 16, find the cost when w = 10 and I = 25? Be sure to respond in
complete sentence that explains your answer in relation to the question
Answer:
u mad bruv? xD Xd DxD XDXDXDdd
Step-by-step explanation:
Roll a 1-6 number cube twice. Probability of a
6 both times
2/3 a minus 1/6 equals 1/3 what is a
Answer:
a = 3/4.
Step-by-step explanation:
2a/3 - 1/6 = 1/3
Multiply thru by the LCD 6:
4a - 1 = 2
4a = 3
a = 3/4.
in an examination for final student of a school 60 offered history, 50 economics and 48 literature, 30 Offered history and economics 16 Offered history and literature 22 offered economics and literature if 10 candidates offered all the three subject find
1: the number that offered history
2:the number that offered only economics
3:the number that offered only literature
4:how many candidates sat for the examination assuming that each candidate sat for at least one subject
Step-by-step explanation:
A 106 offered history to students
-. A businessman plans to retire in 30 years. As part of his retirement plan, he has
invested $8,000 in a public utility bond that will increase his investment at a rate of
6% per year, compounded annually. Which is the best approximation of the value of
the investment after 30 years?
Answer:
A = $45948
Step-by-step explanation:
Given the following data;
Principal = $8000
Interest rate = 6% = 6/100 = 0.06
Time = 30 years
To find the future value, we would use the compound interest formula;
[tex] A = P(1 + \frac{r}{100})^{t}[/tex]
Where;
A is the future value.
P is the principal or starting amount.
r is annual interest rate.
t is the number of years for the compound interest.
Substituting into the equation, we have;
[tex] A = 8000(1 + \frac{6}{100})^{30}[/tex]
[tex] A = 8000(1 + 0.06)^{30}[/tex]
[tex] A = 8000(1.06)^{30}[/tex]
[tex] A = 8000(5.7435)[/tex]
A = $45948