Answer:
0.0174 miles
This conversion of 63 miles per hour to miles per second has been calculated by multiplying 63 miles per hour by 0.0002 and the result is 0.0174 miles per second.
Step-by-step explanation:
Nielsen Rating: The television show nbc Sunday night football broadcast a game between the colts and patriots and received a share of 22, meaning that among the tv sets in use, 22% are turned to that game (based on data from Nielsen Media Research). An advertiser wants to obtain a second opinion by conducting its own surveys and a pilot survey begins with 20 households having tv sets in use at the time of that same nbc Sunday night football broadcast.
a. Find the probability that none of the households are turned to nbc Sunday night football (3 digits)
b. Find the probability that at least one of the households is turned to nbc Sunday night football.(3 digits)
c. Find the probability that at most one of the households is turned to nbc Sunday night football (3 digits)
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?
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.
An equation is modeled below.
ООО
ОООО
ООООО
1
Key:
Which value of x would make the equation true?
O х = 6
OX 3
Oxe 1
Ox= 9
Answer:
x=6
Step-by-step explanation:
get your cup alone by removing the 3 balls. When I take one ball away from one side I have to take it form the other as well. so subtract 3 balls from both sides
x=6
What is the median of this data set:
4, 2 ,5 ,7, 2 ,8, 5 ,6 ,6
Step-by-step explanation:
2 is the answer because it's in the middle
can someone PLEASE help me with this? i’m really struggling lol
Answer: 19.101 miles north
Step-by-step explanation:
Now were given an right angled trinagle with the with the 2nd angle being 23 degrees and given a triangle leg length of 45 miles which is adjcent to the angle and were trying to find how find out how far north it went meaning were trying to find how far up it went thus trying to find the side opposite of the angle.
So now we know our facts we need a trig function which uses both the adjacent and opposites sides, that would be tangent.
Hei has $1,300 in a retirement account earning 4% interest compounded annually. Each year after the first, she makes additional deposits of $1,300. After 5 years, what was her account balance if she did not make any withdrawals? Round each year's interest to the nearest cent if necessary.
The account had a balance of $
after 5 years.
Answer:
Her account balance after 5 years is $8702.87
Step-by-step explanation:
1500 (1.05) = 1575 --> after one year
1575 + 1500 = 3075
3075 (1.05) = 3228.75 --> after two years
3228.75 + 1500 = 4728.75
4728.75 (1.05) = 4965.1875 --> after three years
4965.1875 + 1500 = 6465.1875
6465.1875 (1.05) = 6788.44688 --> after four years
6788.44688 + 1500 = 8288.44688
8288.44688 (1.05) = 8702.86922 --> after five years = $8702.87
a test of sobriety involves measuring the subject's motor skills. twenty randomly selected sober subjects take the test and produce a mean score of 41.0 with a standard deviation of 3.7. at the 0.01 level of significance, test the claim that the true mean score for all sober subjects is equal to 35.0. use the traditional method of testing hypotheses.
Answer:
Since the pvalue of the test is 0 < 0.01, we reject the null hypothesis and accept the alternate hypothesis that the true mean score for all sober subjects is different of 35.
Step-by-step explanation:
Test the claim that the true mean score for all sober subjects is equal to 35.0.
This means that the null hypothesis is:
[tex]H_{0}: \mu = 35[/tex]
And the alternate hypothesis is:
[tex]H_{a}: \mu \neq 35[/tex]
The test statistic is:
[tex]z = \frac{X - \mu}{\frac{\sigma}{\sqrt{n}}}[/tex]
In which X is the sample mean, [tex]\mu[/tex] is the value tested at the null hypothesis, [tex]\sigma[/tex] is the standard deviation and n is the size of the sample.
35 is tested at the null hypothesis:
This means that [tex]\mu = 35[/tex]
Sample of 20, mean score of 41.0 with a standard deviation of 3.7.
This means that [tex]n = 20, X = 41, \sigma = 3.7[/tex]
Value of test statistic:
[tex]z = \frac{X - \mu}{\frac{\sigma}{\sqrt{n}}}[/tex]
[tex]z = \frac{41 - 35}{\frac{3.7}{\sqrt{20}}}[/tex]
[tex]z = 7.25[/tex]
Pvalue of the test:
The pvalue of the test is the probability that differs from the mean by at least 41 - 35 = 6, which is the probability that |z| < 7.25.
z = -7.25 has a pvalue of 0
2*0 = 0
Since the pvalue of the test is 0 < 0.01, we reject the null hypothesis and accept the alternate hypothesis that the true mean score for all sober subjects is different of 35.
Plz Help! I'll put you Brainliest
Answer:
Step-by-step explanation:
LWhat is 63 points
Help pla
Answer:
B. 1 1/4Step-by-step explanation:
3/4 + 1/2 = 3/4 + 2/4 = 5/4 = 1 1/4Correct choice is B
Step-by-step explanation:
[tex] \sf \: \dfrac{3}{4} + \dfrac{1}{2} \\ \sf ➡ \frac{3 + 2}{4} \\ \sf➡ \frac{5}{4} \\ \sf➡1 \frac{1}{4} [/tex]
*****PLEASE HELP******
Which of the following is a parent function?
O A. f(x)=3^x - x/3
O B. f(x) = 2^x
O C. f(x) = 1/2 3 ^x
O D. f(x) = -3X^3 +1
Answer:
O B. f(x) = 2^x
i think its true but iam not sure
hope it helps
Solve the inequality: 4x-2<10
Answer:
w < 3
Step-by-step explanation:
One can solve an algebraic inequality just like how one solves an algebraic equation, by using inverse operations. The only major difference is that when one multiplies or divides by a negative number, one must remember to flip the inequality sign, this rule does not come into play in the given inequality.
4x - 2 < 10
+2 +2
4x < 12
/4 /4
w < 3
The fraction 1/2 and 3/6 are equal. True or False
Answer:
true
Step-by-step explanation:
3 is half of 6
1 is half of 2
Answer:
True
Step-by-step explanation:
please help me with this i really need help
Answer:
Add all 25-29 ages together to get your answer
Step-by-step explanation:
I need with help with this question
Answer:
the answer is 3
Step-by-step explanation:
4. June's portfolio of stocks includes 177 shares of Parcher, 213 shares of Giaco
Household Goods, and 152 shares of Raxin Accounting. If Parcher pays yearly
dividend of $8.21 per share. Giaco Household pays $6.97 per share and Raxin
pays $11.44 per shares, how much does June earn in dividends per year?
Find sin theta if cos theta is 4/5
Answer:
Step-by-step explanation:
hello :
cos²θ +sin²θ = 1 and cosθ =4/5
(4/5)² + sin²θ = 1 so : sin²θ = 1 - 16/25
sin²θ = 9/25 = (3/5)²
sinθ = 3/5 or sinθ = - 3/5 because : (3/5)²= (- 3/5)²= 9/25
What is the best estimate of the value of ln 16?
Answer:
6
Step-by-step explanation:
I think
How do you find the area of a circle if the radius is a fraction?
I'm confused-
Answer:
It shouldn't be a problem.
Calculate the area as usual.
But if the fraction is troubling you then, change the fraction (by further solving/dividing it) into decimal.
Ms. Evans brought 240 crayons for her class.The crayons came in packs of 12.Howmany packs did she buy
Answer:
240/12=20
Step-by-step explanation:
Answer:
I think the answer is B
Step-by-step explanation:
There are 240 crayons.
The crayons came in packs of 12.
So, in order to find out how many packs she bought we have to divide 240 by 12.
240/12 = 20 packs
HELPP PLEASEE
the rectangular prism is to be sliced perpendicular to the shaded face and is to pass through point A, perpendicular to the front face. What will the dimensions of the rectangular cross section be?
A rectangular prism. The rectangular base has a length of 4 inches and width of 3 inches. The height of the prism is 6 inches. Point A is at the top of the rectangle with length 6 inches and width 3 inches.
4 inches by 6 inches
4 inches by 3 inches
3 inches by 6 inches
2 inches by 6 inches
Answer:
C (3 inches by 6 inches)
Step-by-step explanation:
5 + (1/7)b = -2 find what b equals
Answer:
b= -49
Step-by-step explanation:
Well first isolate the number with the variable by performing inverse operations
1/7b= -7
now multiply by 7 on each side to isolate the variable.
b= -49
B is negative 49
24 + m = 49 help plz
Answer: m=25
Step-by-step explanation: 49 - 24= 25
Kareem and his three brothers are buying their parents a present for $121.00. If they split the money equally how much does each?
Answer:
$30.25
they each put together $30.25
Step-by-step explanation:
121.00 divided by 4 =
30.25
?????????????????????
Answer:
5x^2 + 7x
option C is your answer
The average price for deodorant is defined by the linear regression line: y equals 0.046 x plus 2.664 where x represents the number of years since 2010.
If this trend continues, when will the average price be $3.63
(Round off to the appropriate year)
Answer:
2031
Step-by-step explanation:
3.63=0.046x+2.664
0.966=0.046x
21=x
2010+21=2031
Solve the system of equations.
3x + 5y = 9
3x + 2y = 3
A) x = 2, y = 3
B) x = 3, y = 2
C) x = - 1/3 , y = 2
D) x = 2, y = - 1/3
Answer: c
Step-by-step explanation: Slove for the first variable in on of the equations, then substitute the result into the other equation. giving you (-1/3, 2) or x=-1/3 and y= 2
What type of counting problem is this?
ASAP!!! WILL GIVE BRAINLIEST!!!
A special safe lets you choose from 5 symbols for a 3-symbol-long pass code. You may enter a symbol any number of times. How many potential pass codes are there?
Combination with repetition
Combination without repetition
Permutation without repetition
Permutation with repetition
Answer:
D is Permutation with repetition right
Step-by-step explanation:
Answer:
Step-by-step explanation:
there are 6-10
I need help with this, please answer right I will give brainelist
Answer:
1 D. 400 spins
2 C.4/20
3 A. 6/20
Step-by-step explanation:
1
The more times you run a probability-based trial, the more likely you are to get close to the theoretical frequency.
2
Since 1 and 2 represent goals, just find the options that have three/four 2's and 1's. These are 5212, 2152, 2512, and 2112. Since there are 4 options out of 20, we can say our probability is 4/20
C
Since 1 and 2 represent goals, we have to find the options where there are no 1's or 2's. These are 6643, 3554, 4533, 6634, 4536, and 5546. Since there are 6 options out of 20, we can say our probability is 6/20
Terry's brother can paint a room in 3 hours less than Terry can paint it. Working together they can complete the job in 2 hours. How much time would require Terry to paint the room working alone? Enter just the number no words.
Answer:
6
Step-by-step explanation:
the equation would be 2/(x-3) + 2/x = 1 derived from the work formula of T/A + T/B = 1; T representing total time working together, A/B respectively representing the two different rates of working. In the end Terry would spend 6 hours working alone.
Find the value of x
A. 4
B. 9
C. 36
D. 5
Answer:
[tex]a)\ \ 4[/tex]
Step-by-step explanation:
A secant is a line that intersects a circle in two points. The product of the lengths theorem is a theorem that forms a ratio between the lengths of the secants when two secants intersect in a circle. Let ([tex]secant_1[/tex]) and ([tex]secant_2[/tex]) refer to the entirety of the secants. ([tex]part_1_a[/tex]) and ([tex]part_1_b[/tex]) will refer to the different parts of ([tex]secant_1[/tex]). ([tex]part_2_a[/tex]) and ([tex]part_2_b[/tex]) will refer to the different parts of ([tex]secant_2[/tex]).
[tex]part_1_a*part_1_b=part_2_a*part_2_b[/tex]
Substitute with the given values in the problem,[tex]part_1_a*part_1_b=part_2_a*part_2_b[/tex]
[tex]x*9=3*12[/tex]
Simplify,
[tex]x*9=3*12[/tex]
[tex]9x=36[/tex]
Inverse operations,
[tex]9x=36[/tex]
[tex]x=4[/tex]
If you take away 179500 from 190270
Which is 10770
What percentage is the profit?
Answer:
5,7%
Step-by-step explanation:
190270 is 100%
1% is 1902,7
10770/1902,7 = 5,66