Answer:
(a) P(none) = 0.0488
(b) P(at least one) = 0.9512
(c) P(at most one) = 0.2186
(d) No, it doesn't appear that the 24% share value is wrong.
Step-by-step explanation:
We are given that among the TV sets in use, 24% were tuned to Lett3rs.
A pilot survey begins with 11 households have TV sets in use at the time of a Lett3rs broadcast.
Let X = Number of households that are tuned to Lett3rs
The above situation can be represented through binomial distribution;
[tex]P(X = r)=\binom{n}{r}\times p^{r} \times (1-p)^{n-r} ; x = 0,1,2,3,......[/tex]
where, n = number of samples (trials) taken = 11 households
r = number of success
p = probability of success which in our question is % of
households that were tuned to Lett3rs, i.e; 24%
So, X ~ Binom{n = 11, p = 0.24}
(a) The probability that none of the households are tuned to Lett3rs is given by = P(X = 0)
P(X = 0) = [tex]\binom{11}{0}\times 0.24^{0} \times (1-0.24)^{11-0}[/tex]
= [tex]1\times 1 \times 0.76^{11}[/tex]
= 0.0488
(b) The probability that at least one households are tuned to Lett3rs is given by = P(X [tex]\geq[/tex] 1)
P(X [tex]\geq[/tex] 1) = 1 - P(X = 0)
= 1 - 0.0488
= 0.9512
(b) The probability that at most one households are tuned to Lett3rs is given by = P(X [tex]\leq[/tex] 1)
P(X [tex]\leq[/tex] 1) = P(X = 0) + P(X = 1)
= [tex]\binom{11}{0}\times 0.24^{0} \times (1-0.24)^{11-0}+\binom{11}{1}\times 0.24^{1} \times (1-0.24)^{11-1}[/tex]
= [tex]1\times 1\times 0.76^{11}+11\times 0.24^{1} \times 0.76^{10}[/tex]
= 0.2186
No, it doesn't appear that the 24% share value is wrong because the probability that at most one household is tuned to Lett3rs is somewhere close to 24% and this probability is also not unusual as it is way more than the criteria of more than 5%.
Jason considered two similar televisions at a local electronics store. The generic version was based on the brand name and was three eighths the size of the brand name. If the generic television set is 12 inches by 24 inches, what are the dimensions of the brand name television
Answer:
32 inches by 64 inches
Step-by-step explanation:
Since the generic television is [tex]\frac{3}{8}[/tex] the size of the brand name.
Then the brand name is [tex]\frac{8}{3}[/tex] the size of the generic, thus
[tex]\frac{8}{3}[/tex] × 12 = 32
[tex]\frac{8}{3}[/tex] × 24 = 64
Thus dimensions are 32 inches by 64 inches
Answer:
The dimensions are 32 inches by 64 inches
A randomized study compared two drugs that
are designed to lower a person's triglyceride
level. It was found that over a 1-year period,
those receiving Drug A decreased their
triglyceride level by a mean of 69. Those
receiving Drug B decreased their triglyceride
level by a mean of 45.
To determine whether the results are significant,
the data are rerandomized and the difference of
the means is shown in the dot plot.
What is the best conclusion to make based on
the data?
Answer:b
Step-by-step explanation:
2 3/8 ÷ 1 1/4
Steps
19/8 x 4/5
= 19/10
= 1 9/10
So the answer to this is B.
Another one omg this is annoying
Answer:
Correct option: first one
Step-by-step explanation:
The equation f(x) = 5x + 1 is a function, because each value of x gives only one value of y.
Now let's find the inverse by switching f(x) by x and x by f'(x), then isolating f'(x):
[tex]x = 5f'(x) + 1[/tex]
[tex]5f'(x) = x - 1[/tex]
[tex]f'(x) = \frac{x - 1}{5}[/tex]
The inverse f'(x) is also a function, because each value of x gives only one value of x.
So we have that both the equation and its inverse are function, therefore the correct answer is the first option.
An observer on the top of a lighthouse observes the angles of depression of two ship at anchor to be 75 and 45 respectively. Find the distance between the two ships if the line joining them points to the base of the light house which is 100 meters high. (use tan 15 = 0.27) Answer should be 73 meter.
Answer:
Distance between two ships = 73 units
Step-by-step explanation:
Note:
tangent = opposite / hypotenuse
Referring to diagram,
Distance of ship A from tower = 100 tan(90-45) = 100 units
Distance of ship B from tower = 100 tan(90-75) = 100 tan (27) = 27 units
Distance between two ships = 100-27 = 73 units
I need the answers to B and C as (as fractions please)
Answer:
1/12 and 1/3
Step-by-step explanation:
There are 2 choices for flipping a coin (heads or tails) and 6 choices for rolling the die (1 - 6) so the total possible outcomes are 2 * 6 = 12. Of these, there's only one possibility where we get a tail and a 5 so the answer to b is 1/12. For c, there's only one head but there are 4 numbers less than 5 (1 - 4) so the total number of outcomes that satisfy our condition is 1 * 4 = 4 which makes the probability 4/12 = 1/3.
Answer:
Step-by-step explanation:
The probable results are:
Head + 1/2/3/4/5/6
Tail + 1/2/3/4/5/6.
B. This gives 12 results and tail + 5 is one of them, so the probability of getting that is 1/12.
C. A result with a head and a number less than 5 is available 4 times, making the fraction 4/12 or 3/4
Hope this helps
S = { x ; x is a multiple of 8. 0 < x <30 } Describe this set in another method
Step-by-step explanation:
Hi,
Let's describe it in listing method;
S= {8,16,24}.
Hope you got it...
Mark uses an app that shows him how many kilometers he has run to prepare for a marathon. The app said he ran 9.654 kilometers. He wants to post online how many miles he ran. Mark ran ___ miles.
Answer:
6 miles
Step-by-step explanation:
We are told that mark ran 9.654 kilometers.
We want to find out the distance in miles.
Now, to convert from kilometres to mile, we know that;
1.609 kilometers = 1 mile
Thus;
9.654 kilometers = (9.654 × 1)/1.609 miles = 6 miles
So, the number of miles he will post online is 6 miles
Find the value of X and Y in the following parallelogram.AD =X+8 D=2y +13 C=16-x CB=5y+4 AB=o
Answer:
The answer is below
Step-by-step explanation:
AD = X + 8 ∠D = 2y +13 ∠C = 16 - x CB = 5y+4
In a parallelogram, consecutive angles are supplementary and opposite sides are equal.
Therefore for parallelogram ABCD, AB = CD, CB = AD
Since AD = CB (opposite sides of a parallelogram are equal):
x + 8 = 5y + 4
5y - x = 8 - 4
5y - x = 4 (1)
∠C + ∠D= 180° (consecutive angles of a parallelogram are supplementary). Therefore:
16 - x + 2y + 13 = 180
2y - x + 29 = 180
2y - x = 180 -29
2y - x = 151 (2)
To find x and y, subtract equation 1 from equation 2:
3y = -147
y = -49
Put y = -49 in equation 2
2(-49) - x = 151
x = -98 - 151
x = -249
CAN ANYONE HELP IM VERY CLUELESS
Answer:
51°
Step-by-step explanation:
A circle has a total of 360 degrees. So,
360 = 62 + 66 + x + 73 + x + 57
Next, combine like terms:
360 = 2x + 258
Next, isolate your variable by subtracting 258 from both sides:
102 = 2x
Finally, divide both sides by 2 to get x:
x = 51
Answer:
x = 51
Step-by-step explanation:
x + 73 + x + 57 + 62 + 66 = 360
2x + 258 = 360
2x = 360 - 258
2x = 102
[tex]\frac{x}{2} =\frac{102}{2}[/tex]
x = 51
Find the value of this expression if x = 3
and y = -1.
xy²
5
Answer:
0.6 = 6/10 = 3/5 is the answer.Step-by-step explanation:
0.6 = 6/10 = 3/5
is the answer
This is because you have to substitute.
Given:
x = 3
y = -1
Unknown:
Final Answer
(x*y^2)/5
((3)(-1*-1)/5
= (3*1)/5
= 3/5= 6/10= 0.6Hope this helped,
Kavitha
ASAP!! Please help me. I will not accept nonsense answers, but will mark as BRAINLIEST if you answer is correctly with solutions.
Answer:
[tex]\boxed{\mathrm{all \: real \: numbers}}[/tex]
Step-by-step explanation:
[tex]F(x)=2^x[/tex]
The domain of a function is the set of input values that the function can take.
There are no restrictions on the value of x.
The domain of the function is all real numbers.
[tex]- \infty\leq x\leq \infty[/tex]
To obtain a Class E license, you don’t need to
Answer:
provide a valid passport
Step-by-step explanation:
Answer:
be a us citizen
Step-by-step explanation:
The right isosceles triangle shown is rotated about line k with the base forming perpendicular to k. The perimeter of the triangle is 58 units. An isosceles triangle is rotated about line k on one side. The opposite side has a length of 24 units. Which best describes the resulting three-dimensional shape? a cone with a base radius of 17 units a cone with a base radius of 34 units a cylinder with a base radius of 17 units a cylinder with a base radius of 34 units
Answer:
a cone with a base radius of 17 units
Step-by-step explanation:
The computation of three-dimensional shape is shown below:-
Data provided
Perimeter of Triangle = 58 units
One non equal side = 24 units
We will assume two equal side = x units
x + x + 24 = 58
2 x = 58 - 24
2 x = 34
[tex]x = \frac{34}{2}[/tex]
x = 17
As we can see that the triangle is rotated about line k
This will give in a cone as it is a dimensional shape of three
So, the shape which is new will be of cone having radius 17 units
slant height 24
height k units
Answer:
A
Step-by-step explanation:
Find the y-intercept and the axis of symmetry of f(x)=ax2+2ax+3.
Answer:
[tex] y= cx^2 +dx +e[/tex]
We see that:
[tex] c = a, d= 2a , e= 3[/tex]
The axis of symmetry is defined by this formula:
[tex] X= - \frac{d}{2c}[/tex]
And replacing we got:
[tex] X= -\frac{2a}{2a}= -1[/tex]
Thn the axis of symmetry would be X=-1
Step-by-step explanation:
For this case we have the following function:
[tex] y = ax^2 +2ax +3[/tex]
If we compare this function with the general expression of a quadratic formula given by:
[tex] y= cx^2 +dx +e[/tex]
We see that:
[tex] c = a, d= 2a , e= 3[/tex]
The axis of symmetry is defined by this formula:
[tex] X= - \frac{d}{2c}[/tex]
And replacing we got:
[tex] X= -\frac{2a}{2a}= -1[/tex]
Thn the axis of symmetry would be X=-1
One number is 5 times another. If their
difference is 96, find the numbers.
Answer:24
Step-by-step explanation:
24*5=120.
So the difference between 120-24=96.
The required number, one number is 5 times another and their difference is 96 is 24 and 120.
One number is 5 times another. If their difference is 96, To find the numbers.
What is arithmetic?In mathematics, it deals with numbers of operations according to the statements.
Let the number be x and y
According to the first condition,
One number is 5 times another.So,
y = 5x
Following the second condition,
their difference is 96. So,
y - x = 96 - - - - - (1)
Now put y = 5x in the above equation
5x - x = 96
4x = 96
x = 96/4
x = 24
Now put x = 24 in y = 5x
y = 5*24
y = 120
Thus the required number, one number is 5 times another and their difference is 96 is 24 and 120.
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x over 4 + 3/5 is equal to 3x over 5 - 2
Answer:
[tex]\huge\boxed{x=\dfrac{52}{7}=7\dfrac{3}{7}}[/tex]
Step-by-step explanation:
[tex]\dfrac{x}{4}+\dfrac{3}{5}=\dfrac{3x}{5}-2\qquad\text{multiply both sides by}\ LCD=20\\\\20\cdot\dfrac{x}{4}+20\cdot\dfrac{3}{5}=20\cdot\dfrac{3x}{5}-20\cdot2\\\\5\cdot x+4\cdot3=4\cdot3x-40\\\\5x+12=12x-40\qquad\text{subtract 12 from both sides}\\\\5x+12-12=12x-40-12\\\\5x=12x-52\qquad\text{subtract}\ 12x\ \text{from both sides}\\\\5x-12x=12x-12x-52\\\\-7x=-52\qquad\text{divide botgh sides by (-7)}\\\\\dfrac{-7x}{-7}=\dfrac{-52}{-7}\\\\x=\dfrac{52}{7}[/tex]
Last week Lisa had a gross earning of $1441.30. Cathy receives a base salary of $375 and a commission on sales exceeding her quota of $5000. What is her rate of commission if her sales were $6560?
Answer:
4.25%
Step-by-step explanation:
Commision = 441.30 - 375 = 66.30
Commision is based on = 6560-5000 = 1560
Rate of Commision = (in decimal) 66.30/1560 = 0.0425
Rate of Commision = 0.0425 * 100 = 4.25 %
Suppose your car has hhh liters of engine oil in the morning. During the day, some oil may have leaked, you may have added more oil, or both. The oil level in the evening is ggg liters.
Answer:
g = (h+a) - l
None of them
Step-by-step explanation:
Suppose your car has h liters of engine oil in the morning. During the day, some oil may have leaked, you may have added more oil, or both. The oil level in the evening is g liters. Which of the following expressions always represents how far away the new oil level is from the previous oil level? H+G lGl none of them
Let
h = liters of oil in the morning
l= liters that has leaked
a= liters that were added during the day
g= amount of liters at the end of the evening
Total liters of oil in the evening= (litres of oil in the morning + litres of oil added during the day) - litres of oil that leaked
Substituting each variable into the formula, we have
g = (h+a) - l
Use the ratio of a 30-60-90 triangle to solve for the variables. Make sure to simplify radicals. Leave your answers as radicals in simplest form. u= n=_____square root________
Answer:
A. v = 19√3.
B. u = 38.
Step-by-step explanation:
The following data were obtained from the question:
Angle θ = 60°
Adjacent = 19
Opposite = v
Hypothenus = u
A. Determination of the value of 'v'
The value of v can be obtained by using Tan ratio as shown below:
Angle θ = 60°
Adjacent = 19
Opposite = v
Tan θ = Opposite /Adjacent
Tan 60 = v/19
Cross multiply
v = 19 × Tan 60
Tan 60 = √3
v = 19 × √3
v = 19√3
Therefore, the value of v is 19√3
B. Determination of the value of 'u'
The value of u can be obtained by using cosine ratio as shown below:
Angle θ = 60°
Adjacent = 19
Hypothenus = u
Cos θ = Adjacent /Hypothenus
Cos 60 = 19/u
Cos 60 = 1/2
1/2 = 19/u
Cross multiply
u = 2 × 19
u = 38
Therefore, the value of u is 38.
Which of the following relation is correct
Answer:
Both the equation and its inverse are functions.
Step-by-step explanation:
In order to solve this problem lets first find the inverse of this function. This is done below:
[tex]y = x^2 + 8\\[/tex]
We first swap x and y.
[tex]x = y^2 + 8[/tex]
We now isolate y.
[tex]y^2 = x - 8\\y = \sqrt{x - 8}\\f^{-1}(x) = \sqrt{x - 8}[/tex]
Functions are relations between two groups of numbers, in such a way that one number on the input group must generate a singular answer from the output group. This holds true for both f(x) and its inverse, therefore both are functions.
Determine which one of the following statements is true.
A. Linear growth will always exceed exponential growth.
B. Linear growth will always exceed quadratic growth.
C. Quadratic growth will always exceed exponential growth.
D. Exponential growth will always exceed linear growth.
Answer:
D. Exponential growth will always exceed linear growth.
Step-by-step explanation:
An "exponential growth function" would always exceed the "linear growth function" in the end because the "x-values" tends to get larger in continuation, so the change rate associated with the "exponential function" also increases in continuation whereas the "linear functions' change rate is considered as constant.
In the question above, option D is correct.
Which point satisfies the system of equations y = 3x − 2 and y = -2x + 3? A. A B. B C. C D. D
Which is the graph of f(x) = /x?
Answer:
neither on of those. I can't see the the other answers so your best bet is to look on m-a-t-h-w-a-y. (had to spell out with hyphens but remove them and go to that)
Step-by-step explanation:
dentify the type of sampling used (random, systematic, convenience, stratified, or cluster sampling) in the situation described below. A researcher selects every 890 th social security number and researcher selects every 890th social security number and surveys surveys that the corresponding corresponding person.person. nothing nothing nothing Which type of sampling did the researcher researcher use
Complete Question:
Identify the type of sampling used (random, systematic, convenience, stratified, or cluster sampling) in the situation described below;
A researcher selects every 890th social security number and surveys the corresponding person. Which type of sampling did the researcher use?
Answer:
Systematic sampling.
Step-by-step explanation:
In Statistics, sampling can be defined as a process used to collect or select data (objects, observations, or individuals) from a larger statistical population using specific procedures.
There are various types of sampling used by researchers and these are;
1. Random sampling.
2. Convenience sampling.
3. Stratified sampling.
4. Cluster sampling.
5. Systematic sampling.
A systematic sampling is a type of probability sampling method which involves the researcher selecting or collecting data from a larger population.
Under systematic sampling method, samples are selected from an ordered (fixed) sample population at periodic interval. Therefore, numbers are assigned to every member of the population and then, the "nth" member are selected by the researcher after choosing a fixed starting point.
In this scenario, the researcher selects every 890th social security number and surveys the corresponding person.
Hence, the type of sampling used by the researcher is systematic sampling.
Select the number of solutions for each system of two linear equations.
Answer:
work is shown and pictured
C, infinitely many solutions.
B, one solution.
C, infinitely many solution.
A system of linear equations:A system of linear equations is a collection of one or more linear equations involving the same variables.
A system of linear equation has
one solution when the graph intersect at a point.no solution when the graphs are parallel.infinitely many solutions when the graphs are exact same line.According to the given questions
the given system of equations
(1). 2x+2y=3 and 4x+4y=6
if we see the graph of the above system of linear equations, the graphs are the" exact at same line".
Hence, they have infinitely many solution.
(2). 7x+5y=8 and 7x+7y =8
if we see the graph of the above system of linear equations, the graphs are intersecting at a single point.
Hence, there is only one solution.
(3). -2x+3y=7 and 2x-3y=-7
if we see the graph of the above system of linear equations, the graphs are exact at same line.
Hence, there is infinitely many solutions.
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Answer ill mark the brainliest please help
Answer:
42
Step-by-step explanation:
You can get this right from the table. 42 females had a positive opinion about the campus.
Answer:
42
Step-by-step explanation:
Let's look at the intersection of the "positive opinion" column and "female" row, the number we see at the intersection is 42.
Find the area of an equilateral triangle (regular 3-gon) with 6-inch sides. Round your answer to the nearest hundredth.
Answer:
15.59 in^2
Step-by-step explanation:
The area of an equilateral triangle with side length "s" is given by ...
A = (√3)/4·s^2
Filling in your numbers, we have ...
A = (√3)/4·(6 in)^2 = 9√3 in^2
A ≈ 15.59 in^2
The area is about 15.59 square inches.
What is the average length of a side in the shape made from the file datatest1.txt whose contents are shown below (just give to two decimal places)? -3,3 -4,-3 4,-2 6,5
Answer:
0.75
Step-by-step explanation:
The average length is given as the sum of all the lengths given divided by the number of lengths (frequency).
Mathematically:
Average = (Sum of lengths) / frequency
The lengths given are -3, 3, -4, -3, 4, -2, 6, 5. There are 8 lengths there.
The average is therefore:
Average = (-3 + 3 + (-4) + (-3) + 4 + (-2) + 6 + 5) / 8
Average = 0.75
PLEASE HELP The equation of the line below is: y = -4x + 4. y = -2x + 4. y = 2x + 4. None of these choices are correct.
Answer:
y = 2x+4
Step-by-step explanation:
The y intercept ( where it crosses the y axis ) is 4
The slope is positive because the line goes up from the bottom left to top right
We pick two point ( -2,0) and ( 0,4)
The slope is found by
m= (y2-y1)/(x2-x1)
= ( 4-0)/(0- -2)
= 4/ (0+2)
= 4/2
= 2
The slope intercept form of a line is
y = mx+b where m is the slope and b is the y intercept
y = 2x+4
Answer:
The equation to this line is y=-4x+4
Step-by-step explanation:
If you look at the graph you can see that the y intercept is 4.
To find the slope take two points on the graph and plug it into be y2-y1/x2-x1
I chose (0,-2) and (-1,2) So 2+2=4 and -1-0= -1 so 4/-1= -4
Melinda drives 60 2/5km in 1 hour. How many kilometers dose he drive in 5 hours ?
Answer:
60 2/5 x 5 = 60 x 5 + 2/5 x 5
60 x 5 = 300
2/5 x 5 = 2
300 + 2 = 302 so 302 is the answer
302 km for 5 hours
Step-by-step explanation:
Step-by-step explanation:
Km in 1 hour = 60 2/5 = 60.4km
Km in 5 hours = 60.4 x 5 = 302km