The television show 50 Minutes has been successful for many years. That show recently had a share of 15, which means, that among the TV sets in use, 15% were tuned to 50 Minutes. An advertiser wants to verify that 15% share value by conducting its own survey, and a pilot survey begins with 15 households have TV sets in use at the time of a 50 Minutes broadcast.

Required:
a. Find the probability that none of the households are tuned to Lindsay and Tobias. (Round to three decimal places as needed)
b. Find the probability that at least one household is tuned to Lindsay and Tobias.
c. Find the probability that at most one household is tuned to Lindsay and Tobias.
d. If a most one household is tuned to Linday and Tobias, does it appear that the 15% share value is wrong? Why or wh not?

Answer:

is this a multiple-choice question?

Step-by-step explanation:

**i'll go back and change my answer, i promise**

Answer:

df(t)/dt = 10 - 0.8f(t)

Step-by-step explanation:

The net rate of change, df(t)/dt = rate in - rate out

The rate in = rate litter forms on ground = 10 g/cm²/yr

Since f(t) is the amount of litter present at time, t, in g/cm² the rate out = rate of decomposition = the percentage rate × f(t) = 80% per year × f(t) = 0.8f(t) g/cm²/yr

Since df(t)/dt = rate in - rate out

df(t)/dt = 10 - 0.8f(t)

So the desired differential equation is

df(t)/dt = 10 - 0.8f(t)

Step-by-step explanation:

To find the value of x bring the variables to the left side and bring all what remained values to the right side and then simplify them to find the answer or the result hope I helped and a have a good luck

Answer:

Step-by-step explanation:

If the 2 is an exponent, it needs to be written as ^2.

(5+√3)²  = 5² + 10√3 + 3 = 28 + 10√3

Answer:

x=-2 and y =0

Step-by-step explanation:

2x + 3y=-4

y=2x + 4

2x -y = -4

4y= 0

y = 0

2x -0=-4

2x =-4

x=-2

Answer:

The rate increases at 398mi/h

Step-by-step explanation:

Given

[tex]\frac{dx}{dt} = 460mi/h[/tex] --- rate when [tex]y = 2[/tex] --- distance

The given parameters is represented with the attached figure

Using Pythagoras theorem [take the attached image as a point of reference]

[tex]y^2 = x^2 + 1^2[/tex]

[tex]y^2 = x^2 + 1[/tex]

Differentiate with respect to time (t):

[tex]2y \frac{dy}{dt} = 2x \frac{dx}{dt}[/tex]

Divide both sides by 2

[tex]y \frac{dy}{dt} = x \frac{dx}{dt}[/tex] --- (1)

When y = 2:

[tex]y^2 = x^2 + 1^2[/tex] --- Pythagoras Theorem

[tex]2^2 = x^2 + 1[/tex]

[tex]4 = x^2 + 1[/tex]

Collect like terms

[tex]x^2 = 4 -1[/tex]

[tex]x^2 = 3[/tex]

Solve for x

[tex]x = \sqrt 3[/tex]

So:

[tex]y \frac{dy}{dt} = x \frac{dx}{dt}[/tex]

Substitute: [tex]x = \sqrt 3[/tex], [tex]\frac{dx}{dt} = 460mi/h[/tex] and [tex]y = 2[/tex]

[tex]2 * \frac{dy}{dt} = \sqrt 3 * 460[/tex]

[tex]2 * \frac{dy}{dt} = 460\sqrt 3[/tex]

Divide by 2

[tex]\frac{dy}{dt} = 230\sqrt 3[/tex]

[tex]\frac{dy}{dt} = 230*1.7321[/tex]

[tex]\frac{dy}{dt} = 398.383[/tex]

[tex]\frac{dy}{dt} \approx 398[/tex]

Answer:

aSDFGHJLLMNNBBBBVCDDG

Step-by-step explanation:

Answer:

7.065 sq. units

Step-by-step explanation:

The circumference is given, thus you can use the equation 2πr = circumference to find out the radius first, r = 1.5.

Area = πr²

∴The required area is 7.065 sq. units

Answer: 803mm

Step-by-step explanation:

answer:

a. scarf costs today = $6

b. scarf costs 3 days from now = $3

step-by-step explanation:

a. original price of scarf: $12

12 X 1/2 = 6

12 - 6 = 6

— scarf costs today = $6

b. 12 X 3/4 = 9

12 - 9 = 3

— scarf costs 3 days from now = $3

Answer:

The letter "x" is often used in algebra to mean a value that is not yet known. It is called a "variable" or sometimes an "unknown". In x + 2 = 7, x is a variable, but we can work out its value if we try! A variable doesn't have to be "x", it could be "y", "w" or any letter, name or symbol.

Step-by-step explanation:

Answer:

6v + 12

Step-by-step explanation:

2(3v+6) = 2 * 3v + 2 * 6 = 6v + 12

Hope this helps =]

Answer:4x1/3=4/3

Step-by-step explanation:

In the pictures there’s 4 one thirds and if u add them together is 4/3

Answer:

C. 20 Ft.

Step-by-step explanation:

Using The Pythagorean Theorem, a²+b²=c² , insert the known variables into the equation.

18.7²+6²=c²

This gives you 385.69 + 36 = 385.69.

Next, square the result to find the missing side length.

[tex]\sqrt{385.69[/tex]

The answer comes out to around 19.6, which can be rounded up to 20ft.

Hope this helped!

Answer:

25 questions,

$18.75

Step-by-step explanation:

Remember, to change percents to decimals, divide the number by 100 and remove the parentheses.

1. 84%, or 21 questions of Roy's test were correct.

Let's set the number of questions on the test as "x". We can then write this equation:

84% * x = 21

Simplify.

0.84 * x = 21

Divide both sides by 0.84

x = 25

There were 25 questions on the test.

2. Cheesecake Factory question

We need to find 15% of 125.

15% * 125 =

0.15 * 125 =

18.75

They need to leave a $18.75 tip.

I hope this helps! Feel free to ask any questions!

Answer:

B

Step-by-step explanation:

a proportional relationship must have a straight line when graphed and it must go through the origin (0,0)

Right off the bat we can eliminate answer choice C because the line is not straight

the answer is not a nor d

the line may be straight but it does not go through the origin therefore it is not a proportional relationship

B makes a straight line and the line goes through the origin therefore B is the answer

Answer:

37 cubic cm should be the answer sorry if I am wrong

Answer:

may it help you..MARK ME AS BRAINLISTS PLS

Answer:

9(3+c+4)=

27+9c+36=

63+9c=

Step-by-step explanation:

9(3+c+4)=

27+9c+36=

63+9c=

your answer is C

your answer is C

your answer is C

your answer is C

your answer is C

Answer:

C

Step-by-step explanation:

2x+5=13

2x+5-5=13-5

2x=8

2x/2=8/2

X=4

Answer:

D

Step-by-step explanation:

D goes thru positive 4 and negative 3

Answer:

4.6

Step-by-step explanation:

the first equation will be y=1.2x+4.6

the second will be y=0.8x+54.6

then i plugged the system of equations and that was where they met at :)

Answer:

for sure B

Step-by-step explanation:

The solution is, 0.39 = 39% of probability.

Probability can be defined as the ratio of the number of favorable outcomes to the total number of outcomes of an event.

here, we have,

When you need to calculate probabilities involving "or" questions, in general you should use the following formula: , where P(A) is the probability of event A and P(B) is the probability of event B.

In the problem given, P(A) = yes and P(B) = male, then:

P(yes) = 33/100

          = 0.33

P(male) = 20/100

            = 0.20 (all male that answered the question)

P(yes and male)

= 14/100

= 0.14 (all male that answered yes to the question)

P(yes or male) = P(yes) + P(male) - P(yes and male)

                        = 0.33+0.20-0.14

                        = 0.39

                        =39%

Hence, The solution is, 0.39 = 39% of probability.

To learn more on probability click:

brainly.com/question/11234923

#SPJ3

Complete question:

One hundred people were asked, "Do you favor the death penalty?" Of the 33 that answered "yes" to the question, 14 were male. Of the 67 that answered "no" to the question, six were male. If one person is selected at random, what is the probability that this person answered "yes" or was a male?

Answer:

x=6 x=-1

a=1.5 a=-2

n=-1.5 n=4

Step-by-step explanation:

(a) (b) (c)

10a2+5a-30

x=-b+-√b2-4ac/2a

a=-5+-√(5)2-4(10)(-30)/2(10)

a=-5+-√25+1200/20

a=-5+-√1225/20

a=-5+√1225/20

a=1.5

a=-5-√1225/20

a=-2

Answer:

A

Step-by-step explanation:

its a bec count how many student are their an see if they add IP to 30

The Venn diagram which shows the number of students who play basketball and baseball is option A.

Venn diagram is a diagram denoting two or more sets which is drawn using circles inside a rectangle where the part where the two circle meet denotes the intersection of two sets.

Let A denotes the students playing baseball and B denotes the student playing basketball.

N(A) = 18

N(B) = 17

N(A ∪ B) = 30

We know,

N(A ∩ B) = N(A) + N(B) - N(A ∪ B)

              = 18 + 17 - 30

              = 35 - 30

              = 5

Number of students who play both baseball and basketball = 5

Number of students who plays only baseball = 18 - 5 = 13

Number of students who plays only basketball = 17 - 5 = 12

This is shown in A.

Hence the correct option is A.

Learn more about Venn Diagrams here :

https://brainly.com/question/1605100

#SPJ2

Answer:

Q3 = 30

Step-by-step explanation:

minimum value = 5

Q1 = 20  (this is the median of the lower half of data)

Median (sometimes called Q2) = 25

Q3 = 30 (this is the median of the upper half of data)

maximum value = 45