Suppose that the mean daily viewing time of television is 8.35 hours. Use a normal probability distribution with a standard deviation of 2.5 hours to answer the following questions about daily television viewing per household
(a)
What is the probability that a household views television between 3 and 11 hours a day? (Round your answer to four decimal places.)
(b)
How many hours of television viewing must a household have in order to be in the top 3% of all television viewing households? (Round your answer to two decimal places.)
hrs
(c)
What is the probability that a household views television more than 5 hours a day? (Round your answer to four decimal places.)
Answers
Answer:
(a) To find the probability that a household views television between 3 and 11 hours a day, we need to calculate the z-scores for 3 and 11 hours using the formula z = (x - μ) / σ, where μ is the mean and σ is the standard deviation. The z-score for 3 hours is (3 - 8.35) / 2.5 = -2.14 and the z-score for 11 hours is (11 - 8.35) / 2.5 = 1.06. Using a standard normal distribution table, we find that the probability of a z-score being between -2.14 and 1.06 is approximately 0.8209.
(b) To find how many hours of television viewing a household must have in order to be in the top 3% of all television viewing households, we need to find the z-score that corresponds to the top 3% of the standard normal distribution. Using a standard normal distribution table, we find that this z-score is approximately 1.88. Using the formula x = μ + zσ, we can calculate that a household must view television for approximately 8.35 + (1.88 * 2.5) = 12.75 hours to be in the top 3% of all television viewing households.
(c) To find the probability that a household views television more than 5 hours a day, we need to calculate the z-score for 5 hours using the formula z = (x - μ) / σ, where μ is the mean and σ is the standard deviation. The z-score for 5 hours is (5 - 8.35) / 2.5 = -1.34. Using a standard normal distribution table, we find that the probability of a z-score being greater than -1.34 is approximately 0.9099.
Answer:
Step-by-step explanation:
The mean daily viewing time of television is 8.35 hours and the standard deviation is 2.5 hours. We can use a normal probability distribution to answer the following questions about daily television viewing per household:
(a) The probability that a household views television between 3 and 11 hours a day is 0.9772 (rounded to four decimal places).
(b) To be in the top 3% of all television viewing households, a household must have 15.68 hours of television viewing per day (rounded to two decimal places).
The probability that a household views television more than 5 hours a day is 0.8944 (rounded to four decimal places).
I hope this helps! Let me know if you have any other questions.
Related Questions
and give simple working out :)
Answers
Angles on a straight line add up to 180, and since you’re told that angle y is equal to 143, you can do 180-143, giving you 37.
Find all points on the x-axis that are 16 units from the point (5,-8)
Answers
To find all points on the x-axis that are 16 units away from the point (5, -8), we can use the distance formula. The distance between two points (x₁, y₁) and (x₂, y₂) is given by the formula:
d = √((x₂ - x₁)² + (y₂ - y₁)²)
In this case, the y-coordinate of the point (5, -8) is -8, which lies on the x-axis. So, any point on the x-axis will have a y-coordinate of 0. Let's substitute the given values and solve for the x-coordinate.
d = √((x - 5)² + (0 - (-8))²)
Simplifying:
d = √((x - 5)² + 64)
Now, we want the distance d to be equal to 16 units. So, we set up the equation:
16 = √((x - 5)² + 64)
Squaring both sides of the equation to eliminate the square root:
16² = (x - 5)² + 64
256 = (x - 5)² + 64
Subtracting 64 from both sides:
192 = (x - 5)²
Taking the square root of both sides
√192 = x - 5
±√192 = x - 5
x = 5 ± √192
Therefore, the two points on the x-axis that are 16 units away from the point (5, -8) are:
Point 1: (5 + √192, 0)
Point 2: (5 - √192, 0)
In summary, the points on the x-axis that are 16 units away from the point (5, -8) are (5 + √192, 0) and (5 - √192, 0).
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1. The possible missing terms to make x²_____+100 a perfect square trinomial are
a. 4x and 25x.
b. -10x and 10x.
c. -20x and 20x.
d. -4x and -25x.
Answers
Answer:
c. -20x and 20x
Step-by-step explanation:
x² is the square of x.
100 is the square of 10 and of -10.
The middle term of (a + b)² is 2ab.
For b = 10:
2ab = 20x
for b = -10:
2ab = -20x
Answer: c. -20x and 20x
1/5 divided by 2/3 input the answer as a fraction
Answers
Answer:
Three tenths/ 3/10
Step-by-step explanation:
1/5 divided by 2/3 is 0.3 which is equal to 3/10
Please help!
Solve for x
Answers
9514 1404 393
Answer:
x = 1
Step-by-step explanation:
The product of lengths to the two circle intercepts are the same for each secant.
7(7+9) = (8x)(8x+6x)
112 = 112x² . . . simplify
1 = x² . . . . . . divide by 112
x = 1 . . . . . . . take the square root (segment lengths are positive)
PLEASE ANSWER ASAP: Clayton wishes to plant pumpkins and sunflowers, so this morning he bought packs of seeds at a local gardening shop. Pumpkin seeds were sold in packages of 10 seeds, while sunflower seeds were sold in packs of 6. If Clayton bought the same number of each type of seed, what is the smallest number of pumpkin seeds he must have bought?
Answers
Answer:
30
Step-by-step explanation:
u find the lowest common multiple.
i need to find the independent variable and dependent and make a equation and find the output when input=10
Answers
The given situation is about the value of quarters and the number of quarters. If we think this through, we would deduct that the value of quarters depends on the number of quarters there are, for example, if there are 4 quarters, then the value is 1 dollar, and so on.
Hence,
The independent variable is the number of quarters.
The dependent variable is the value of the quarters.
The equation would be v = 0.25n.
If the input is 10, it means n = 10.
\(v=0.25n=0.25\cdot10=2.5\)The output would be 2.5.
Bro can someone please help? I’ll give you brainliest, I’m struggling really bad.
Answers
Answer:
has to be B
Step-by-step explanation:
3 would give you a horizontal line so that wouldnt be it
3/4 would give you a positive slope and you would need a fraction to get a slope like this and needs to be negative so B. -3/4
the line parallel to 2x – 3y = 6 and containing (2,6)
what is the equation of the line ?
Answers
First, write out the equation in slope intercept form.
-3y= -2x+6
y= 2/3x -2
The slope of the equation is 2/3, m.
Substitute the slope and coordinate into y=mx+b. Since it’s parallel, the slope remains the same.
6= 2/3(2)+b
6= 4/3+b
14/3=b
y= 2/3x + 14/3
find the slope and y - intercept of x = 0
Answers
Answer:
When the equation is written in the slope-intercept form (y=mx+b) we can find the y-intercept by looking at the equation. The value of b is the y-intercept. This is because the y-intercept is when the x value equals 0. When x = 0, mx = 0, so when x = 0, y = b.
Step-by-step explanation:
trust the process
find the equation of the line passing through the points (7,20) and (-2,11)
Answers
Answer:
y = x + 13
Step-by-step explanation:
Step 1: Find the slope
(11-20) / (-2-7) = 1
Step 2: Find b
y = x + b
20 = 7 + b
b = 13
Step 3: Put it all in slope-intercept form
y = x + 13
And you should have your final answer!
For each of the values of h given, when x is increased from 4 to 4+h, work out(the change in x^2)/h.a. If h=1, then (the change in x^2)/h =b. If h=0.1, then (the change in x^2)/h=c. If h=0.01, then (the change in x^2)/h=d. If h=0.001, then (the change in x^2)/h=
Answers
As h decreases, the value of (the change in x^2)/h increases, since 16h gets divided by a smaller value of h. For example, when h=0.1, (the change in x^2)/h = 16/0.1 = 160.
a. If h=1, then (the change in x^2)/h = 16/1 = 16
b. If h=0.1, then (the change in x^2)/h= 16/0.1 = 160
c. If h=0.01, then (the change in x^2)/h= 16/0.01 = 1600
d. If h=0.001, then (the change in x^2)/h= 16/0.001 = 16000
The change in x^2 refers to the difference in the value of x^2 when x is increased from 4 to 4+h. In other words, it is the difference between (4+h)^2 and 4^2. The change in x^2 is 16h, since (4+h)^2 = 16h + 4^2. To find (the change in x^2)/h, we simply divide 16h by h, which gives us 16. So, for each of the values of h given, when x is increased from 4 to 4+h, (the change in x^2)/h is 16. As h decreases, the value of (the change in x^2)/h increases, since 16h gets divided by a smaller value of h. For example, when h=0.1, (the change in x^2)/h = 16/0.1 = 160.
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Annie is opening a savings account which earns 5.2% interest compounded continuously how much will she need to deposit in the account so she has $2300 after seven years
Answers
Hi
let's call X the initial deposit.
the interest rate is 5.2 %
so each year X increase by 1.052.
so we have : X *1.052^7 =2300
X = 2300/1.052^7
X = 1612,94
please note that the deposit was rounded to the next cent. as the result would be 1612,937...
Answer:
1686.22
Step-by-step explanation:
1686.22
2300=P(1+(0.052x7))
2300=P1.364
P=2300/1.364
=1686.217...
=1686.22..
=1686 for the nearest dollar
HELPPP!!!!!
A sample of an unknown liquid has a volume of 24.0 mL and a mass of 6 g. What is its density? Show your work or explain how you determined this value. (4 points)
Answers
Answer:
0.25 g/mL
Step-by-step explanation:
d=m/v
6 g / 24 mL
0.25 g/mL
both (g) and mL were only used once so the answer includes both of them
A 2015 Gallup poll of 1,627 adults found that only 22% felt fully engaged with their mortgage provider.
What is the sample size? Give only the number:
The margin of error for this data set is 2.5%. What is the 95% confidence interval for those who say they felt fully engaged with their mortgage provider (rounded to 1 decimal place)?
Answers
The sample size for the Gallup poll is 1,627 adults. The 95% confidence interval for those who say they felt fully engaged with their mortgage provider is approximately 22.0% (rounded to 1 decimal place).
To calculate the 95% confidence interval, we need to consider the margin of error. The margin of error is given as 2.5%, which means that we need to account for plus or minus 2.5% around the observed proportion of 22%.
First, let's calculate the margin of error:
Margin of Error = 2.5% of 22% = 0.025 * 22% = 0.0055
Next, we can calculate the lower and upper bounds of the confidence interval:
Lower Bound = 22% - Margin of Error = 22% - 0.0055 = 21.995% ≈ 22.0%
Upper Bound = 22% + Margin of Error = 22% + 0.0055 = 22.005% ≈ 22.0%
Therefore, the 95% confidence interval for those who say they felt fully engaged with their mortgage provider is approximately 22.0% (rounded to 1 decimal place).
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What is the slope of a line parallel to
a)-1/2
b)-2
c)1/2
d)2
Answers
Answer:
parallel lines has equal gradient
answer
c ,1/2
I need help ASAP do at 7:30
Answers
Answer:
it would be 2294 if its 31 x 74 or 105 if its 31 + 74
Step-by-step explanation:
A kids pool had a small opening through which water sometimes leaked out. Water was poured into the pool from time to time. The graph shows the amount of water in the pool (y), in gallons, at certain times (x), in hours.
Which of the following statements best describes the amount of water in the pool ?
1) it is increasing during the time interval 4
2) it is increasing during the time interval 10
3) it is decreasing during the time interval 4
4) it is decreasing during the time interval 10
Answers
The best statement that describes the amount of water in the pool is that it is decreasing during the time interval 4. That is option 3.
How to determine the the interval of the water in the pool?To determine the time interval of the water in the pool the following is carried out.
At 0 hour, the water is at the level of = 40 gallons
At 1 hour, the water decreased to = 25 gallons.
At 2 hours, the water decreased to = 10 gallons.
The water remained at a constant level till 4 hours.
Therefore, the amount of water in the pool is that it is decreasing during the time interval 4.
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Multiply the product
(m+3)(m-3)
Answers
Answer:
The answer to (m+3)(m-3) is m^2-9.
Step-by-step explanation:
We will use distributive law to solve this question.
m(m-3)+3(m-3)
= m^2-3m+3m-9
= m^2-9 (since, 3m-3m=0)
As an alternative method, we can use the direct rule learned in algebra: (a+b)(a-b)=a^2-b^2.
so, here a=m and b=3.
(m+3)(m-3)
=m^2-3^2
=m^2-9
The following to a table shows the date it for the students of two different grades in a school:
Answers
Given:
Number of science students in grade 7 = 20
Number of science students in grade 8 = 20
Total number of students in grade 7 = 22
Total number of students in grade 8 = 28
Solution:
Based on relative row frequency,
The probability of picking a student from grade 7 that is a member of the science club:
\(\begin{gathered} \text{Probability = }\frac{Number\text{ of required outcomes}}{Number\text{ of possible outcomes}} \\ =\text{ }\frac{20}{22} \\ =\text{ }\frac{10}{11} \end{gathered}\)The probability of picking a student from grade 8 that is a member of the science club:
\(\begin{gathered} \text{Probability = }\frac{Number\text{ of required outcomes}}{Number\text{ of possible outcomes}} \\ =\text{ }\frac{20}{28} \\ =\text{ }\frac{10}{14} \end{gathered}\)Going from the probability values obtained, the students of grade 7 are more likely to be science students
Answer: Grade 7 (option A)
First term (n) = 10, (4 x 1 + 6)
Rule: multiply 4 with n and then add 6 ( or 4n+6)
Q. find the next 2 terms in the sequence
Answers
Answer:
soln,
we know that;
(n)=(4n+10)then;
(n)=13(4×2+6)
(n)=18(4 × 3 + 6)
A dart is dropped above the target shown in the diagram. The dart has an equal chance of landing on any spot on the target.
What is the probability the dart will land in the shaded square on the target? Round to the nearest hundredth. Enter the answer in the box.
Answers
Answer: 0.04
Step-by-step explanation:
The area \(A_1\) of the square target with side length \(s_1=20 cm\) is:
\(A_1=s_1^{2}=20^{2}=400\)
The area \(A_2\) of the shaded square with side length \(s_2=4cm\) is:
\(A_2=s_2^{2}=4^{2}=16\)
So, the probability that the dart will land in the shaded square on the target is:
\(\frac{A_{2}}{A_{1}}=\frac{16}{400}=0.04\)
creat an espression that includes the zero property of exponents the multiplication property of exponents and the power of a power property of exponents
Answers
All in one, or one expression for each property?
a) Zero property
\(\text{ (x + y)}^0\text{ = 1}\)b) Multiplication property
\(\text{ x}^2\cdot x^5=x^{2+5}=x^7\)c) Power property
\(\text{ (x}^2)^3=x^{2\cdot3}=x^6\)d) All in one (this is the expression)
\(\mleft\lbrace\text{(x}^0)(x^3)\mright\rbrace\text{ }(x^2)^5\)\(\text{ }\mleft\lbrace1(x^3\mright)\}(x^{10})\)
please help!!
Use the equation e/4 = 12 to solve the following problem.
Maurice and three of his friends have a lemonade stand.
They want to make enough money so that, after splitting
the earnings evenly, each person earns $12. How much
does the lemonade stand need to make?
OA. $124
OB. $30
OC. $12
OD. $48
Answers
Answer:
Below
Step-by-step explanation:
Earnings, e, will be divided by 4 friends to equal 12
e/4 = 12 multiply both sides of the equation by 4
4 * e/4 = 12 * 4
e = 48
Every weekday, Mr. Jones bikes from his home to his job. Sometimes he rides along two roads, the long route that is shown by the solid lines. Other times, he takes the shortcut shown by the dashed line.
A right triangle. The distance from the angle with measure 90 degrees to Job is 15 kilometers. From the angle to Home is a. They hypotenuse is 17 kilometers.
How many fewer kilometers does Mr. Jones bike when he takes the shortcut instead of the long route?
6 kilometers
8 kilometers
23 kilometers
32 kilometers
Mark this and return
Answers
Answer:
(A)6 kilometers
Step-by-step explanation:
First, we determine the value of a using Pythagoras Theorem.
\(Hypotenuse^2=Opposite^2+Adjacent^2\\17^2=a^2+15^2\\a^2=17^2-15^2\\a^2=289-225\\a^2=64\\a^2=8^2\\a=8$ km\)
Therefore:
Distance along the long route = 8 + 15 =23 km
Distance along the shortcut =17 km
Difference =23-17 =6km
Therefore, Mr. Jones bikes 6km less when he takes the shortcut instead of the long route.
Answer:
a
Step-by-step explanation:
on edge
stick of butter weight a quarter of a pound how much do 13 sticks of butter weight
Answers
you get 3 1/4 pounds as a mixed number, 3.25 pounds as a decimal, and 13/4 pounds as a fraction. Hope this helped!
Question 2 (5 points)
[01.02)
Consider the function f(x) = 8 - 3xFind the value of f(x) when x = 3 and select the correct answer below. (5 points)
Са
- 19
Ob
-10
26
Od
Answers
Step-by-step explanation:
f(x) = 8 - 3x
when x =3, then
f(3) = 8 - 3×3
=8-9
=-1
Answer:
Step-by-step explanation:
f(x)=8-3x If x=3
Substitute 3 in x,
f(3)=8-3(3)
f(3)=8-9
f(3)=-1 ANS
Hope it helps;)
Solve each equation by completing the square.
d² - 24d + c
Answers
Answer:
d² - 24d + c = (d - 12)² - 144 + c
K
The mean percent of childhood asthma prevalence in 43 cities is 2.38%. A random sample of 31 of these cities is selected. What is the probability that the mean childhood asthma
prevalence for the sample is greater than 2.8 % ? Interpret this probability. Assume that o=1.40%.
The probability is
(Round to four decimal places as needed.)
#
#
√i
S
i
(0,0)
3
More
033
Exit session
Dec 2 2:44 O
Answers
Answer:
P(X > 2.6) = 0.0475 = 4.75%
Step-by-step explanation:
Let X is the random variable that represents percent of childhood asthma prevalence.
We want to find out the probability that the mean childhood asthma prevalence for the sample is greater than 2.6%
The z-score corresponding to 1.67 is 0.9525
P(X > 2.6) = 1 - 0.9525
P(X > 2.6) = 0.0475
P(X > 2.6) = 4.75%
Therefore, there is 4.75% probability that the mean childhood asthma prevalence for the sample is greater than 2.6%
How to use z-table?
Step 1:
In the z-table, find the two-digit number on the left side corresponding to your z-score. (e.g 1.6)
Step 2:
Then look up at the top of z-table to find the remaining decimal point in the range of 0.00 to 0.09. (e.g. if you are looking for 1.67 then go for 0.07 column)
Step 3:
Finally, find the corresponding probability from the z-table at the intersection of step 1 and step 2.
Type the correct answer in the box. Use numerals instead of words. If necessary, use / for the fraction bar.
A/60
B/45
C/105
The measurement of angle A is
The measurement of angle B is
The measurement of angle Cis
Answers
The second pair of points representing the solution set of the system of equations is (-6, 29).
To find the second pair of points representing the solution set of the system of equations, we need to substitute the x-coordinate of the second point into one of the equations and solve for y.
Given the system of equations:
y = x^2 - 2x - 19
y + 4x = 5
Substituting the x-coordinate of the second point (-6) into equation 2:
y + 4(-6) = 5
y - 24 = 5
y = 5 + 24
y = 29
Therefore, the second pair of points representing the solution set of the system of equations is (-6, 29).
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Question
Type the correct answer in the box. Use numerals instead of words. If necessary, use / for the fraction bar.
y = x2 − 2x − 19
y + 4x = 5
The pair of points representing the solution set of this system of equations is (-6, 29) and
_________.