Answer:
a. 0.007 = 0.7% probability that none of the households are turned to nbc Sunday night football
b. 0.993 = 99.3% probability that at least one of the households is turned to nbc Sunday night football.
c. 0.046 = 4.6% probability that at most one of the households is turned to nbc Sunday night football
d. 1 is less than 2.5 standard deviations below the mean, so having at most one people watching shouldn't be considered an unusual outcome, which means that the 22% share values does not appear wrong.
Step-by-step explanation:
For each household, there are only two possible outcomes. Either it is tuned to Sunday Night Football, or it is not. The probability of a household being tuned to Sunday Night Football is independent of any other household. This means that the binomial probability distribution is used to solve this question.
Binomial probability distribution
The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.
[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]
In which [tex]C_{n,x}[/tex] is the number of different combinations of x objects from a set of n elements, given by the following formula.
[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]
And p is the probability of X happening.
22% are turned to that game
This means that [tex]p = 0.22[/tex]
Sample of 20 households:
This means that [tex]n = 20[/tex]
a. Find the probability that none of the households are turned to nbc Sunday night football:
This is P(X = 0). So
[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]
[tex]P(X = 0) = C_{20,0}.(0.22)^{0}.(0.78)^{20} = 0.007[/tex]
0.007 = 0.7% probability that none of the households are turned to nbc Sunday night football.
b. Find the probability that at least one of the households is turned to nbc Sunday night football.
This is:
[tex]P(X \geq 1) = 1 - P(X = 0)[/tex]
Since P(X = 0) = 0.007
[tex]P(X \geq 1) = 1 - P(X = 0) = 1 - 0.007 = 0.993[/tex]
0.993 = 99.3% probability that at least one of the households is turned to nbc Sunday night football.
c. Find the probability that at most one of the households is turned to nbc Sunday night football (3 digits)
This is
[tex]P(X \leq 1) = P(X = 0) + P(X = 1)[/tex]. So
[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]
[tex]P(X = 0) = C_{20,0}.(0.22)^{0}.(0.78)^{20} = 0.007[/tex]
[tex]P(X = 1) = C_{20,1}.(0.22)^{1}.(0.78)^{19} = 0.039[/tex]
[tex]P(X \leq 1) = P(X = 0) + P(X = 1) = 0.007 + 0.039 = 0.046[/tex]
0.046 = 4.6% probability that at most one of the households is turned to nbc Sunday night football.
d. If at most one household is turned to nbc Sunday night football, does it appear that the 22% share value is wrong? Why or why not?
A measure is considered unusually low if it is more than two and a half standard deviations below the mean.
The mean is:
[tex]E(X) = np = 20*0.22 = 4.4[/tex]
The standard deviation is:
[tex]\sqrt{V(X)} = \sqrt{np(1-p)} = \sqrt{20*0.22*0.78} = 1.8526[/tex]
4.4 - 2.5*1.8526 = -0.2.
1 is less than 2.5 standard deviations below the mean, so having at most one people watching shouldn't be considered an unusual outcome, which means that the 22% share values does not appear wrong.
What is the equation of the line that is parallel to line y = -3x – 8 and passes
through the point (-2, 9)?
y= 1x + 29
y = -3x + 11
y = -3x + 3
y = 4x + 53
Answer:
y = -3x + 3
Step-by-step explanation:
Since the line is parallel, it has the same slope. Plug the point you have into the equation y - y1 = slope (x -x1) to get your answer, which should be y = -3x +3
Hopefully this helps - let me know if you have any questions!
Answer:
C: y = -3x +3
Step-by-step explanation:
Lines that are parallel have the same slope have so the slope of the line in -3, now we have to find the y-intercept, we can do this by substituting -2 for x and 9 for y and solve for b
9 = -3(-2) +b
9 = 6 + b
b = 3
So the line that is parallel to y = -3x -8 and goers through the point (-2,9) is y = -3x + 3 or answer C
A person, 35 meters away from a building, is looking up at a bird that is sitting on the top of the building. If the distance from that person to the bird is 91 meters, how tall is the building? (no website pls just answer)
Answer:
I think it is 56
Step-by-step explanation:
$72 with a 40% markup
Answer:
$100.80
Step-by-step explanation:
40%/100%×72=$28.80
$72+$28.80=$100.80
Complete the table for the given rule.
Please help me and thank u, hope u all have a wonderful day!
Answer: 4= 2 8=3 12=4
Step-by-step explanation:
We see that 1/4 is the x, so we can multiply 4 by 1/4 which gives us 1 and then we add 1 because the equation has a +1. Now we do the same to the 8, 8(1/4 +1) =3.
Which equation could represent the following:
5 less than a number is 8.
On - 5 = 8
0 5 - n = 8
On + 5 = 8
0 5 + n = 3
Answer:
n - 5 = 8
Step-by-step explanation:
5 less than a number = a number subtracted by 5
Multiply 16,3,and 29, and then subtract 17
Answer:
1375
Step-by-step explanation:
We can just follow what it says.
16 times 3 times 29 = 1392
1392 - 17 = 1375
Type the correct answer in the box. Use numerals instead of words. If necessary, use / for the fraction bar.
Find the remainder of (x^4 - 2) divided by (x + 1).
Answer:
-1 is the remainder
hope it helps
Answer:
-1 is the remainder for this problem.
Step-by-step explanation:
Plato.
102 is what percent more than 50
What function is the inverse of the exponential function y = 3^x?
Can somebody please help me?
2+2
Answer:
4 is the answer =)
Sue Arva has 460 beads to make bracelets. Each bracelet will use 50 beads. How many bracelets will she be able to make? A. 9 B. 10 C. 16 D. 15
Answer:
A. 9
Step-by-step explanation:
So, she has 460 beads, and each braclet she makes requires 50 beads.
Therefore we will divide these numbers to get 9.2. This rounds to A. 9.\
Hope I help!
~PumpkinSpice1
Please help i need this to pass
Answer:
28
Step-by-step explanation:
a^2+b^2=c^2
a^2+96^2=100^2
a^2+9216=10000
a^2=784
a^2= √784
a=28
Answer:
28 in.Step-by-step explanation:
Let,
The unknown leg be = x
According to Pythagoras Theorem,
[tex] {hypotenuse}^{2} - {base}^{2} = {height}^{2} [/tex]
[tex] = > {100}^{2} - {96}^{2} = {x}^{2} [/tex]
[tex] = > {x}^{2} = 10000 - 9216[/tex]
[tex] = > {x}^{2} = 784[/tex]
[tex] = > x = \sqrt{784} [/tex]
=> x = 28
Hence,
the another leg is 28 in. (Ans)
PLEASE HELP ME WITH THIS QUESTION!!! WHATS THE ANSWER?? I WILL GIVE YOU BRAINLIEST AND A THANKS!!!
Answer:
A) 113 m²
Step-by-step explanation:
A=[tex]\pi[/tex]r²
[tex]\pi[/tex]x6x6=113.097
What is the gradient of the line 3x + 2y=9
Answer:
slope : -3/2
Y=(0, 9/2)
Step-by-step explanation:
help :( math due tonight
Prove Triangle congruence part 1
Answer:
there is five way to find that triangle is congruent. they are:
1. SAS axiom
2. SSS axiom
3. AAA axiom
4. ASA axiom
5. RHS axiom
If the length of each side of a triangle is doubled then its perimeter is _________________
Answer:
If the length of each side of a triangle is doubled then its perimeter is also doubled.
A university researcher wants to estimate the mean number of novels that seniors read during their time in college. An exit survey was conducted with a random sample of 9 seniors. The sample mean was 7 novels with standard deviation 2.29 novels. Assuming that all conditions for conducting inference have been met, what is a 95 percent confidence interval for the population mean number of novels read by all seniors?
Answer:
(5.240 ; 8.760)
Step-by-step explanation:
Given :
Sample mean, xbar = 7
Standard deviation, s = 2.29
Sample size, n = 9
95% confidence interval for the population mean :
Confidence interval :
Xbar ± Margin of error
Margin of Error = Tcritical * s/sqrt(n)
Tcritical at 0.05 ; df = 8 = 2.306
Margin of Error = 2.306 * 2.29/sqrt(9)
Margin of Error = 1.760
Lower boundary = (7 - 1.760) = 5.240
Upper boundary = (7 + 1.760) = 8.760
(5.240 ; 8.760)
A number is five more than three times another number. The sum of the two numbers is 33. Equation X plus 3X +5+352 find the value
Answer:
the number is 26
Step-by-step explanation:
x+3x+5=33
4x+5=33
4x=28
x=7
3(7)+5=26
Find the measure of <8
2x^2 + 16x + 28 = 0?
Answer:
[tex]x=-4+\sqrt{2}[/tex]
[tex]x=-4-\sqrt{2}[/tex]
Step-by-step explanation:
The quadratic formula is an equation that can be used to find the roots of a quadratic equation when one is given the equation in standard form. A quadratic equation in standard form is the following,
[tex]ax^2 +bx + c=0[/tex]
The quadratic formula is the following,
[tex]\frac{(-a)(+-)\sqrt{(x)^2-4(b)(c)}}{2(a)}[/tex]
Substitute in the given coefficients for the following equation,
[tex]2x^2 + 16x + 28 = 0[/tex]
Substitute,
[tex]\frac{-16(+-)\sqrt{(16)^2-4(2)(8)}}{2(2)}[/tex]
Simplify,
[tex]\frac{-16(+-)\sqrt{256-224}}{4}\\\\=\frac{-16(+-)\sqrt{32}}{4}\\\\=\frac{-16(+-)4\sqrt{2}}{4}\\\\=-4(+-)\sqrt{2}[/tex]
The roots of the quadratic equation ([tex]2x^2+16x+28=0[/tex]) are ([tex]x=-4+\sqrt2[/tex]) and ([tex]x=-4-\sqrt{2}[/tex])
Faye has $3,000 that she is going to deposit into each of the two accounts as shown:
•Account A: 5% simple interest for 5 years
•Account B: will earn $828.84 over 5 years
Assuming Faye does not make any additional deposits nor withdrawals, find t combined amount of her two accounts after 5 years.
Answer:
Faye has $3,000 that she is going to deposit into each of the two accounts as shown:
•Account A: 5% simple interest for 5 years
•Account B: will earn $828.84 over 5 years
Assuming Faye does not make any additional deposits nor withdrawals, find t combined amount of her two accounts after 5 years.
Step-by-step explanation:
sub to sir sir bmgo ΔΔ
Please fill in this for 20 points and brainlist <3333
Answer:
1. [tex]750(0.041) = $30.75[/tex]
2. [tex]90.75 - 55 = 35.75\\\frac{35.75}{55} = 0.65\\[/tex] 65%
3. [tex]13(1.06) = 13.78[/tex]
Please remember to brainlist this answer
Answer:
give them brainliest
Step-by-step explanation:
Hey guys, please help me answer this question!
Answer:
its 3rd one all the best for your test
3. Find the slope of the line through the pair of points.
(12, 2), (-7,5)
Answer:
-3/19
Step-by-step explanation:
Given data
We have the coordinates
(12, 2), (-7,5)
x1=12
y1=2
x2=-7
y2=5
The expression for the slope is given as
Slope= y2-y1/x2-x1
Substiute
Slope= 5-2/-7-12
Slope= 3/-19
Hence the slope is -3/19
Which of the following best describes the algebraic expression 7(x-9) +14 ?
Answer:
Fourteen more than seven times the quantity of a number minus nine.
Step-by-step explanation:
What is the range of the function graphed below?
Answer:
-3<y<=3 or B
Step-by-step explanation:
first we find the smallest y value which is -3
then we find the largest y vlaue which is three
so since there is an open circle at negative three we do not include it while at three we do.
so the answer would be -3<x<=3
if my answer helps please mark as brainliest.
7 (n+4) = 21
Please help me solve this
Answer: n = -1
Step-by-step explanation: distribute 7 to n +4 to get 7n +28 = 21
subtract 28 on both sides, to get 7n= -7 divide by positive 7, and get n=-1
plug it in to check 7(-1+4)=21
-1+4= 3
7(3)= 21
it checks out ^_^
Write the five-number summary of the following set of data: 5, 7, 8, 10, 10, 11, 13, 15, 16, 20?
Maximum
________________
Q1 (1st Quartile):???
Q2 (Median): ????
Q3 (3rd Quartile):????
What is the Maximum:???
Answer: Q1 10 Q216 Q3 8
Step-by-step explanation:
BECAUSE I THIK THAT IS THE ANSWER
3 (18 - 7) divided by 2? I have to show my work
Answer:
16.5
Step-by-step explanation:
(18-7) = 11
11 x 3 = 33
33 divided by 2 = 16.5
Answer:
[tex]16\frac{1}{2}[/tex]
Step-by-step explanation:
[tex]\frac{3 (18 - 7)}{2} =\frac{3*11}{2}=\frac{33}{2}= 16\frac{1}{2}[/tex]