The probability of surveying 100 randomly selected households and getting 4 or fewer tuned to 60 minutes is only 0.02%.
How to calculate the probabilityP(X <= 4) = P(X = 0) + P(X = 1) + P(X = 2) + P(X = 3) + P(X = 4)
P(X = k) = (100 choose k) * 0.078^k * (1 - 0.078)^(100-k)
P(X <= 4) = (100 choose 0) * 0.078^0 * (1 - 0.078)^(100-0) + (100 choose 1) * 0.078^1 * (1 - 0.078)^(100-1) + (100 choose 2) * 0.078^2 * (1 - 0.078)^(100-2) + (100 choose 3) * 0.078^3 * (1 - 0.078)^(100-3) + (100 choose 4) * 0.078^4 * (1 - 0.078)^(100-4)
Using a calculator or software, we can find that:
P(X <= 4) = 0.000203
This means that the probability is 0.02%.
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Charges for TV advertising on a TV show are based on the number of viewers, which is measured by the rating. The rating is the percentage of population of 110 million TV households.The CBS television show 60 minutes recently had a rating of 7.8, indicating that 7.8% of the household were tuned to that show.An advertiser conducts an independent survey of 100 households and finds that only 4 were tuned to 60 minutes. Assuming that the 7.8 rating is correct, find the probability of surveying 100 randomly selected households and getting 4 or fewer tuned to 60 minutes.Does the result suggest that the rating of 7.8 is too high?
the belt (orbit) of the asteroids is located between . group of answer choices venus and mercury saturn and uranus jupiter and mars earth and mars
The main belt is not located between these all planets.
What is orbit?
A route that an object in space follows around another is known as an orbit. A satellite is a thing that orbits the earth. An Earth- or moon-like natural satellite is one possibility. Moons are satellites that orbit many planets. A man-made satellite is also possible, such as the International Space Station.
The belt of asteroids is located between the orbits of Mars and Jupiter. The asteroids in this region, known as the main belt, are made up of small rocky bodies that orbit the sun in a region between about 2.2 and 3.2 astronomical units (AU) from the sun.
The distance from the sun to the Earth is about 1 AU, and the distance from the sun to Venus is about 0.7 AU, so the main belt is located beyond the orbits of both Venus and Earth.
The orbits of Saturn and Uranus are much farther out from the sun, at distances of about 9.5 and 19.2 AU, respectively, so the main belt is not located between these planets.
Hence, The main belt is not located between these all planets.
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i need help on this question for my math homework:))) please help!
You want to buy new kitchen appliances 3 years from now, and you plan to save $3,000 semiannually, beginning immediately. You will deposit your savings in an account that pays 7.2% interest. How much will you have 3 years from now?
The final amount after 3 years compounded semi-annually is $3709.20
Compound Interest
To solve this problem, we simply need to use compound interest formula which is given as
\(A = p(1 + \frac{r}{n})^n^t\)
where
A = final amountP = initial amount or principalr = rate n = number of times compoundedt = timeLets substitute the values into the formula and solve
\(A = p(1 + \frac{r}{n})^n^t\\A = 3000(1 + \frac{0.072}{2})^2^*^3\\ A = 3709.20\)
The amount accrued 3 years from now is $3709.20
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Omar wants to measure the width of a river. He marks off two right triangles, as shown in the figure. The base of the larger triangle has a
length of 64 m, and the base of the smaller triangle has a length of 31 m. The height of the smaller triangle is 19.8 m. How wide is the
river? Round your answer to the nearest meter. (The figure is not drawn to scale.)
19.8 m
River
A
31 m
64 m
?
A
m
X
Ś
Answer:
41 meters
Step-by-step explanation:
\(\frac{31}{64}\) = \(\frac{19.8}{x}\)
31x = (19.8)(64)
31x = 1267.2 Divide both sides by 31 and round
x = 41
How does the job satisfaction score for weeks 5-8 compare to weeks 1-4?
The correct comparison for Weeks 5-8 is higher than Week 1-4, hence, the job satisfaction for Week 5-8 is 17% higher.
Job Satisfaction Score :
Week 1 = 3.50Week 2 = 3.40Week 3 = 3.30Week 4 = 3.60Week 5 = 4.20Week 6 = 4.00Week 7 = 4.10Week 8 = 3.90Job Satisfaction for week 1 - 4 :
Week 1 + Week 2 + Week 3 + Week 4 (3.50 + 3.40 + 3.30 + 3.60) = 13.80Job Satisfaction for Week 5 - 8 :
Week 5 + Week 6 + Week 7 + Week 8(4.20 + 4.00 + 4.10 + 3.90) = 16.20Difference between the two categories :
[(Week 5 - 8) - (Week 1-4)] / Week 1-4] × 100%
(16.20 - 13.80) / 13.80 × 100%
(2.4 / 13.80) × 100%
0.1739 × 100%
= 17.39%
Therefore, the job satisfaction for Week 5 - 8 is about 17% higher than Week 1 - 4
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which color uses the most wrapping paper
Answer: I'm pretty sure its the green rectangle
What is the distance between z1 = 5 - 2i and z2 = 8 + i?
13.3
18
Answer:
13.3
Step-by-step explanation:
Answer:
13.3 -_-
Step-by-step explanation:
The sum of four
consecutive odd number is 8o. Find the number
Answer:
The sum of 4 consecutive odd number is 80
Let X be the first of these numbers
Then the next odd number is X+2
The third is X+4The fourth is X+6
All of these add up to 80
(X) + (X+2) + (X+4) + (X+6) = 80
Using the commutative and associative laws, let's transform this equation into
(X + X + X + X) + (2 + 4 + 6) = 804X + 12 = 80
Subtract 12 from both sides of the equation gives4X = 68
Divide both sides by 4 gives
X = 17
Going back to the original question:What are the 4 consecutive odd numbers: 17, 19, 21, 23Checking our answer:17 + 19 + 21 + 23 = 80 Correct!
if 5x/2 = -10 then the value of x is
Answer:
x= -4
Step-by-step explanation:
5x/2= -10
×2 ×2
5x = -20
/5 /5
x = -4
Answer:
x=-4
Step-by-step explanation:
5x/5=-10/1 then we do cross multiplication which = to 5x/5= -20/5 so x=-4
(4 x 5) + ( 4 x 2) = 4 x (5 + n)
Answer:
Step-by-step explanation:
1. (4x5) is 20
2. (4x 2) is 8
3. 20 plus 8 is 28
4. 28= 4x (5+n)
5. isolate n by dividing 4 on both sides= 28/4= 4+n
6. subtract 4 on both sides to get 7-4=n
7. n=3
what is the property of 3x(5x7)=(3x5)7
The property you are referring to is called the associative property of multiplication. According to this property, when multiplying three numbers, the grouping of the numbers does not affect the result. In other words, you can change the grouping of the factors without changing the product.
In the equation you provided: 3x(5x7) = (3x5)7
The associative property allows us to group the factors in different ways without changing the result. So, whether we multiply 5 and 7 first, or multiply 3 and 5 first, the final product will be the same.
Explain how you got h value.
The equation for the parabola will be y = 0.765625(x + 5.25)^2 - 69.390625.
How to explain the equationLet us commence with the generalized equation for a parabola:
y = a(x - h)^2 + k
where (h,k) is the vertex of the parabola.
We can now set up august system of equations by integrating the two provided points and their corresponding transformed points:
4 = a(-2 - h)^2 + k (1)
-11 = a(-6 - h)^2 + k (2)
1 = a(1 - h)^2 + k (3)
-5 = a(-3 - h)^2 + k (4)
Comprising four knowns (a, h, k), fostering a viable solution to our problem yet available.
-15 = a(-4h - 32)
Dividing both sides by -4 silences the equation to:
3.75 = ah + 8
Continuing, subtracting equation (3) from (4):
-4 = a(-2h - 12)
Divving and relying on -2 debases the outcome to:
2 = ah + 6
At this juncture, we have two equations compounding two unknowns (a and h). Determining the h value in accordance to a within these equations can be done by setting our solutions equal to each other and solving for a, giving you an answer of 0.765625.
Exploiting one of the previous expressions, we next find h=(2-6)/0.765625=-5.25. By means of various designs, any of the four initial equations come into play when searching for k. Rearranging, 4=0.765625(-2-(-5.25))^2+k, leads to k=-69.390625.
Thus, unto completion of a parabolic, these values grace your presence:
a= 0.765625
h= -5.25
k= -69.390625
And so, the alluring equation of such an inscribed parabola casts itself forthheartedly, incarnating as:
y = 0.765625(x + 5.25)^2 - 69.390625
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Simplify: 7√(1/3) + 2 1/3√(1/3) + 3√(147)
Step-by-step explanation:
7 √(1/3) - 2 1/3 √(1/3) +3√147
→7(1/√3) - (7/3)(1/√3) +3√(3×7×7)
→ (7/√3) - (7/3√3) +3×7√3
→ (7/√3) - (7/3√3) + 21√3
On Rationalising the denominators then
→ [ 7√3/(√3×√3)]-[7√3/(3×√3×√3) +21√3
The Rationalising factor of√3 =√3
→ (7√3/3)-[7√3/(3×3)]+21√3
→ (7√3/3)-(7√3/9)+21√3
LCM of 3 and 9 = 9
→ [(3×7√3)-(7√3)+(9×21√3)]/9
→ (21√3-7√3+189√3)/9
→[(21-7+189)√3]/9
→ [(210-7)√3]/9
→ 203√3/9 Ans.
Hope this helps.
Need help ASAP
the value of each variable. If your answer is not
teger, express it in simplest radical form.
The length of a is
The length of b is
(Simplify your answer.)
Answer:
me too (help)
Step-by-step explanation:
The half-life of radium-226 is 1600 years. Suppose we have a 27-mg sample.
(a) Find a function
m(t) = m02−t/h
that models the mass remaining after t years.
m(t) =
(b) Find a function
m(t) = m0e−rt
that models the mass remaining after t years. (Round your r value to six decimal places.)
m(t) =
(c) How much of the sample will remain after 4000 years? (Round your answer to one decimal place.)
mg
(d) After how many years will only 17 mg of the sample remain? (Round your answer to one decimal place.)
yr
A function m(t)= m₀e^(-rt) that models the mass remaining after t years is; m(t) = 27e^(-0.00043t)
The amount of sample that will remain after 4000 years is; 4.8357 mg
The number of years that it will take for only 17 mg of the sample to remain is; 1076 years
How to solve exponential decay function?
A) Using the model for radioactive decay;
m(t)= m₀e^(-rt)
where;
m₀ is initial mass
r is rate of growth
t is time
Thus, we are given;
m₀ = 27 mg
r = (In 2)/1600 = -0.00043 which shows a decrease by 0.00043
and so we have;
m(t) = 27e^(-0.00043t)
c) The amount that will remain after 4000 years is;
m(4000) = 27e^(-0.00043 * 4000)
m(4000) = 27 * 0.1791
m(4000) = 4.8357 mg
d) For 17 mg to remain;
17 = 27e^(-0.00043 * t)
17/27 = e^(-0.00043 * t)
In(17/27) = -0.00043 * t
-0.4626/-0.00043 = t
t = 1076 years
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how is a system of two linear inequalities in two variables similar to a system of two linear equations in two variables?
a. point of intersect
b. overlaps
c. boundary lines
d. points that are not boundary lines
A system of two linear inequalities in two variables is similar to a system of two linear equations in two variables in that they both have the following features:
a. Point of intersection: Both systems of equations and inequalities can have one or more points of intersection, which are the points at which the lines or planes representing the equations or inequalities intersect.
b. Overlaps: Both systems can have overlapping regions, which are areas in the coordinate plane that satisfy both equations or inequalities.
c. Boundary lines: Both systems can have boundary lines, which are the lines that represent the equations or inequalities and divide the coordinate plane into different regions.
d. Points that are not boundary lines: Both systems can have points that are not boundary lines, which are points that do not lie on the lines representing the equations or inequalities.
Sombody plssssssssss answer it (100) points
Answer:
try doing the 3rd option
Step-by-step explanation:
we know x is the missing value
x+3=8
so what plus 3 equals 8?
Well 5 of course
So x= 5
5+3=8
Can somebody please help me with this please
Answer:
equilateral for the first one scalene for the second one scalene for the third one equilateral for the fourth one
Step-by-step explanation:
Four less than the product of 8 and a number equals 6
Answer:
8n - 4 = 6
n = 5/4
Step-by-step explanation:
'n' = number
8n - 4 = 6
8n = 10
n = 10/8 or 5/4
2. Graph the system of inequalities. Make sure your solution area is clear in your graph.
Then name a Solution Point____________ & a Non-Solution Point_____________
y ≥ 2x - 1
y ≥ -4
y < -x + 2
Fun fact:
The longest word in any of the major English language dictionaries is pneumonoultramicroscopicsilicovolcanoconiosis, a word that refers to a lung disease contracted from the inhalation of very fine silica particles, specifically from a volcano; medically, it is the same as silicosis.
Cool right? Here are more fun facts.
1 “I am” is the shortest complete sentence in the English language.
2 Supercalifragilisticexpialidocious (*breath*) is NOT the longest word in English.
Like that?
Banging your head against a wall for one hour burns 150 calories.
In Switzerland it is illegal to own just one guinea pig.
Which of the following is an example of earning income from capital gains?
a hourly employee earning $17 per hour
b. salaried employee earning $56,000 per year
c. selling a car and making a profit of $3,000
d. selling stocks for a total of $5,000
Answer:
C. selling a car and making a profit of $3,000
Step-by-step explanation:
An example of earning income from capital gains is selling a car and making a profit of $3,000 which the correct answer would be an option (C).
What is capital gross?Gross capital formation for a unit or sector is calculated using the total value of gross fixed capital growth, changes in inventories, and asset acquisitions with fewer asset disposals.
As we know, from the meaning of capital gain:
When a capital asset is sold, the rise in value is known as a capital gain.
Selling a car and getting $3,000 in profit is one example of making money through capital gains.
An example of earning income from capital gains is selling a car and making a profit of $3,000
Hence, the answer would be option (C).
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Malcolm has $50 gift card to a local car wash and order is the ultimate car wash each visit is $8.95
The amount cheaper is the car washes Malcolm orders than the car washes Martha's order is $13.
The correct answer choice is option B.
How much cheaper is the car washes Malcolm orders than the car washes Martha's order?Malcolm's gift card = $50.
Cost Malcolm's car wash per visit = $7
Martha's gift card = $180
Cost Martha's car wash per visit = Difference between gift card balance of first and second visit
= $180 - $160
= $20
How cheap is the car washes Malcolm orders than the car washes Martha's order = $20 - $7
= $13
Therefore, Malcolm's car wash is cheaper than Martha's car wash by $13
The complete question is attached in the diagram.
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WILL GIVE BRAINLISES
The coordinate 1 has a weight of 4, and the coordinate 4 has a weight of 2. Find the weighted average.
Answer: 3
Step-by-step explanation: This is the average between your 2 numbers, 4 and 2.
Answer: its 2
Step-by-step explanation: i guessed and i got it right after this other dud said 3....ITS 2
A raindrop fallsat a rate of 4/50mile in 1/20hour. At this rate, how far will the raindroptravelin 1 hour?(60 minutes)
Answer:
Step-by-step explanation:
1/20 hour = 5 minutes
(We can now call 1/20 of an hour 5 minutes)
If it falls 4/50 of a mile in 5 minutes (1/20 of an hour),
we do 4/50 * 12 because there are 12 5-minute intervals in an hour/
4/50 * 12 = 48/50 = 24/25 of a mile
Therefore, the raindrop will travel 24/25 of a mile in an hour.
The distance of the raindrop in an hour will be 24/25 miles.
What is speed?The speed is defined as the ratio of the time distance traveled by the body to the time taken by the body to cover the distance. Speed is a scalar quantity and is described by its magnitude only.
Given that A raindrop falls at a rate of 4/50 mile in 1/20 hour. The distance in an hour will be calculated as:-
If it falls 4/50 of a mile in 5 minutes ( 1/20 of an hour ),
Distance = 4/50 x 12
Distance = 4/50 x 12
Distance = 48/50
Distance = 24/25 of a mile
Therefore, the distance of the raindrop in an hour will be 24/25 miles.
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Evaluate ∫∫r(x+y)dxdy, where r is the rectangle in the xy plane with vertices (0,1), (1,0), (3,4)and (4,3).
The double integral \(\int\limits^a_b {(x+y)} \, dx dy\)over the rectangle r with vertices (0,1), (1,0), (3,4) and (4,3) is equal to 22.
What do you mean by integration?Integration can be thought of as the reverse of differentiation, which is the process of finding the rate of change of a function at a given point.
There are two main types of integration: definite and indefinite integration. The process of integration can be represented symbolically as ∫ (the integral symbol) and the result of an integration is typically represented as an antiderivative. The fundamental theorem of calculus states that differentiation and integration are inverse operations, so the derivative of an antiderivative is the original function.
To evaluate the double integral \(\int\limits^a_b {} \, dx dy\)over the rectangle r with vertices (0,1), (1,0), (3,4) and (4,3), we first need to find the limits of integration for x and y.
The x-coordinates of the vertices of the rectangle range from 0 to 4, so the limits of integration for x are 0 to 4. The y-coordinates of the vertices of the rectangle range from 1 to 4, so the limits of integration for y are 1 to 4.
So, the double integral becomes:
\(\int\limits^a_b {(x+y)} \, dx dy\) = (2 × 4² + 8 × 4) - (2 × 1² + 8 × 1) = 32 - 10 = 22.
Therefore, the double integral \(\int\limits^a_b {(x+y)} \, dx dy\) over the rectangle r with vertices (0,1), (1,0), (3,4) and (4,3) is equal to 22.
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Pls help, i just need Jonah's
Answer:
they are just diffrent varibless of numbers
Step-by-step explanation:
PLEASE HELP THIS IS HARD
The Area of the shaded portion is: 72 square inches
What is the Area of the shaded region?The formula for the area of a triangle is given by the formula:
Area = ¹/₂ * base * height
Now, to get the area of the shaded portion, we will get the area of the larger triangle and subtract the area of the smaller one from it.
Thus:
Area of larger triangle = ¹/₂ * 17 * 13 = 110.5 square inches
Area of smaller triangle = ¹/₂ * 11 * 7 = 38.5 square inches
Thus:
Area of shaded portion = 110.5 square inches - 38.5 square inches
Area of shaded portion = 72 square inches
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The ratio of boys to girls is 1:1.
If there are 250 boys, how many
girls are there?
Answer:
250 girls
Step-by-step explanation:
Boys = Girls
250 = Girls
Determine whether the function y= 156 (0.825)t represents exponential growth, exponential decay or neither. Explain
The integer X, Y and Z each are perfect squares X greater than y greater than z greater than zero if x, y, z from an AP the smallest possible value of X is
49 is the smallest possible value of x.
Given: x, y, and z are three perfect square numbers.
What is the least x that can be?
Currently, we have three numbers by the stipulation:
x > y > z > 0
and AP has these figures.
Let's now list every perfect square from 1 to 10 in the following order: 1, 4, 9, 16, 25, 36, 49, 64, 81, and 100.
As a result, we can observe that 25 is equal to the product of 1 plus 49.
The possible outcomes are 1, 25, and 49.
If x = 49 and z = 1, then
x + z / 2 = y
49 + 1 / 2 = y
y = 50 / 2
y = 25
Y is therefore 25 and X is 49.
As a result, 49 is the lowest value of x that can exist.
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