According to Nielsen, adult Americans spend 2.35 hours per day watching television on a weekday, with a standard deviation of 1.93 hours. If a random sample of 40 adult Americans is obtained, determine the probability that a random sample of 40 adult Americans results in a mean time watching television on a weekday of between 2 and 3 hours.

Answers

Answer 1

Answer: 0.8583

Step-by-step explanation:

Given the following :

Standard deviation (sd) = 1.93

Number of samples (s) = 40

Mean (m) = 2.35

x = 2 and 3

Firstly : find the z_score for both x values

Recall :

Z = (x - m) / (sd/√n)

For x = 2

z = (2 - 2.35) / (1.93/√40)

z = -0.35 / 0.3051597

z = 1.1469400

z = 1.15

For x =3

z = (3 - 2.35) / (1.93/√40)

z = 0.65 / 0.3051597

z = 2.1300322

z = 2.13

Therefore;

P(2<=m<=3) = P(-1.15<z<2.13)

P(z<2.13) - P(z<-1.15)

Using the z - table:

Z = - 1.1 on the vertical and 0.05 horizontal = 0.1251

Z = 2.1 vertically, 0.03 horizontal = 0.9834

0.9834 - 0.1251 = 0.8583


Related Questions

Em determinada loja, o lucro obtido pela venda de x fones de ouvido, em reais, pode ser representado pela expressão algébrica 7x-17. Qual será o lucro obtido por essa loja se forem vendidos 13 fones de ouvido?

Answers

Answer:

74 reais

Step-by-step explanation:

Em uma determinada loja, o lucro obtido com a venda de fones de ouvido x, em reais, pode ser representado pela expressão algébrica 7x-17. Quanto lucro esta loja terá se vender 13 fones de ouvido?

O lucro é representado como 7x - 17

onde x = número de fones de ouvido vendidos

Se 13 fones de ouvido foram vendidos, o lucro será:

(7 * 13) - 17

= 91 - 17

= 74 reais

The price of apples at three different stores is shown below. Store R sells apples for $1.20 per pound. Store S sells 4 pounds of apples for $5.00. Store T sells 3 pounds of apples for $3.48. which of these is a true statemnt

Answers

Answer:

Store T sells apples at the lowest rate

$1.16

Step-by-step explanation:

which of these is a true statemnt

Store R sells apples at the lowest rate

Store T sells apples at the lowest rate

Store s charges a lower rate than Store T

Store t charges the same rate as Store R

Given:

Store R= $1.20 per pound

Store S =$5.00 for 4 pounds

Store T=$3.48 for 3 pounds

Find the price of apple per pound

Store R=1.20 per pound of Apple

Store S=$5.00/4

=$1.25 per pound of Apple

Store T=$3.48/3 pounds

=$1.16 per pound of Apple

From the statements above,

Store T sells apples at the lowest rate

g(x) = x2 + 2x - x - 2

Answers

Hope this image helps you :)

Can someone help me ​

Answers

Answer:

y=22cm

Step-by-step explanation:

using L×B=A where y is L

308=14y

y=308/14

y=22cm

I had it at first but now I’m lost.. can someone please help me ASAP!!

Answers

Answer:

Step-by-step explanation:

-5 - 2(3x - 4) = 3(x - 4) + 6

-5 - 6x + 8 = 3x - 12 + 6

-6x + 3 = 3x - 6

3 = 9x - 6

9 = 9x

1 = x

Answer: x =1

Step-by-step explanation:

-5-2(3x-4) = 3(x-4) +6   Apply the distributive property to break it down.

-5-6x+8 = 3x -12 +6   Combine like terms

-6x + 3 = 3x - 6        Add 6x to both sides

+6x         +6x

3 = 9x  -6       Add 6 to both sides

+6        +6

9=9x             Divide both sides by 9

x= 1

What is the measure of an angle if it is 260 degrees less than six times its own complement?

40 degrees
23 degrees
44 degrees
54 degrees
Or none of the above

Answers

Answer:

40 degrees

Step-by-step explanation:

Complementary angles have a sum of 90.

y = 90 - x

The angle is 260 degrees less than six times its complement.

y = 6x - 260

90 - x = 6x - 260

350 - x = 6x

350 = 7x

50 = x

This is the measure of the complement.

y = 90 - x

y = 90 - 50

y = 40

This is the measure of the first angle.

The upper-left coordinates on a rectangle are (-5, 6), and the upper-right coordinates are (-2, 6). The rectangle has a perimeter of 16 units. Draw the rectangle on the coordinate plane below.

Answers

Answer:

Step-by-step explanation:

Given the upper-left coordinates on a rectangle as (-5, 6), and the upper-right coordinates as (-2, 6), the distance between the two coordinates will be equal to the length of one side of the rectangle. Using the formula for calculating the distance between two points as shown;

D = √(x2-x1)²+(y2-y1)²

The the upper left coordinates be A (-5, 6) and  the upper right coordinates be B(-2, 6).

AB = √(-2-(-5))²+(6-6)²

AB = √(-2+5)²

AB = √3²

AB = 3 units = Breadth of the rectangle

Give the perimeter of the rectangle to be 16 units, we can get the length of the rectangle using the formula;

Perimeter of a rectangle = 2(L+B)

16 = 2(3+L)

16 = 6+2L

10 = 2L

L = 5units

The length of the triangle is 5units

Find the diagram of the rectangle on the coordinate plane in the attachment below.

Yuri measures the height of the water in an aquarium in one metric unit. He then moves the decimal point three units to the left. Which pair of measurements might he be converting? Use the metric table to help answer the question.

Answers

Answer:the answer A( kiloliters to liters)

Answer:

Millimeter to Meter

Step-by-step explanation:

A pack of cards is numbered 1 to 24. A card is chosen at random. Find the probability that the number on the card is divisible by 2 or 3

Answers

Answer:

Step-by-step explanation:

It's simple. So the only cards which are divisible by 2 or 3 are: 2,3,4,6,8,9,10,12,14,15,16,18,20,21,22,24. The formula of probability is P= m/n. Where m-Number of ways it can happen and n- Total number of outcomes.

Our answer is P= 16/24=2/3=66,66%

Andy is buying a car he negitiated a 7% decrease on a £6500 car he wil pay the full balance in 12 equal monthly payments calvulate the amount paid each month

Answers

Answer:

£503.75

Step-by-step explanation:

he negotiated a 7% decrease on a £6500:

the price of the car after discount is : 6500-(6500*7%) = £ 6045

£6045 paid fully in 12 month: £ 6045/12= £503.75

What is g(x)?
A. g(x) = -2
B. g(x) = -x
C. g(x) = -|x|
D. g(x) = -x^2

Answers

Answer:

A. g(x) = -2^x.

Step-by-step explanation:

If g(x) = -2, it would be a straight line running horizontally.

If g(x) = -x, it would be a linear equation.

If g(x) = -|x|, it would be an absolute value function, which is a graph in a v-shape.

So, the remaining answer is that A. g(x) = -2^x.

Hope this helps!

Its A, [tex]-2^x[/tex].

For inputs x you can find corresponding y-values on the graph of function:

[tex]x=1\implies y=-2^1=-2[/tex]

[tex]x=2\implies y=-2^2=-4[/tex]

[tex]x=3\implies y=-2^3=-8[/tex]

.

.

.

Hope this helps.

PLZ HELP 10POINTS EASY HELP!!!!!!!!!!

Answers

Answer:

2nd no is corret

Step-by-step explanation:

as altitude is defined as a st. line meeting its base forming 90degree angle.

Answer:

I think the second answer, JH is an altitude of GJI, is the correct answer.

Step-by-step explanation:

Having JH be an altitude of GJI means that it makes a 90 degree angle. And to prove that it's a 90 degree angle we look at where it has the little squares. The squares represent 90 degrees.

Hope this helps!

WILL MARK BRAINLIEST!!! 70 POINTS!!! for real answers plz(●'◡'●)

Answers

Answer:

In explanation ! :P

Step-by-step explanation:

Likes hamburgers and burritos : 39

Likes nothing : 33

Total missing : 205

Percentage who do like nothing : 16,09 %

Percentage who like all (without frequency table ) : 19,02 %

( without relative frequencies, sorry they don't let me :( : Is people who don't like burritos but likes hamburgers,they are the strongest )

I hope I helped you !^^

Sorry they don't let me do the frequency table ! :(

The right triangular prism has a volume of 1,152 cm3. A right triangular prism has a volume of 1,152 centimeters cubed. The triangular bases have 2 sides with lengths of 12 centimeters. The hypotenuse length is not given. The height of the prism is x centimeters. What is the value of x, the height of the prism? 6 8 12 16

Answers

Answer:

  16 cm

Step-by-step explanation:

A "right" prism is one that has the planes of the lateral faces perpendicular to the plane of the base. Here, we assume your "right triangular prism" is one that has a right triangle as a base, because you mention the "hypotenuse."

The area of the base is ...

  A = (1/2)bh = (1/2)(12 cm)(12 cm) = 72 cm²

The volume of the prism is ...

  V = Bh . . . . where B represents the area of the base

Filling in the numbers, we have ...

  1152 cm³ = 72 cm²×h

  h = (1152/72) cm = 16 cm

The height of the prism is 16 cm.

Answer:

16 cm

Step-by-step explanation:

On Friday, Mica has $22.50 in her bank account. Mica goes to the market to get groceries for the week and ends up spending more than planned. When Mica checks her account, she now has a balance of $-48.15. How much money did Mica spend at the market?

Answers

Answer: $70.65

Step-by-step explanation:

From the question, we are informed that Mica has $22.50 in her bank account and then she goes to the market to get groceries for the week and ends up spending more than planned. She later checks her account and found out that she now has a balance of $-48.15.

To get the amount of money that Mica spent at the market, we subtract her balance from the opening balance she had in her bank account. This will be:

= $22.50 - (-$48.15)

= $22.50 + $48.15

= $70.65

Mics spent $70.65 at the market.

On a coordinate plane, a straight red line with a negative slope, labeled g of x, crosses the y-axis at (0, negative 7). A straight blue line with a positive slope, labeled f of x, crosses the x-axis at (negative 1, 0) and the y-axis at (0, 2). Both lines intersect at (negative 3, negative 4). Which statement is true regarding the functions on the graph? f(–3) = g(–4) f(–4) = g(–3) f(–3) = g(–3) f(–4) = g(–4)

Answers

Answer:

f(-3) = g(-3)

Step-by-step explanation:

We know that f(x) = g(x) where the two graphs  intersect

f(-3) = g(-3)

Answer:

f(-3) = g(-3)

Step-by-step explanation:

did on edguniuty

Find the area of the shaded triangle.

Answers

Answer:

7.5

Step-by-step explanation:

The area of a triangle is found by the formula A=1/2bh, where b is the base length, and h is the height. If we count the squares, we can find that the base length of the triangle is 3 units, and the height is 5 units. If we plug those numbers into the equation to get A=1/2*3*5, we can solve to get A=7.5

SOMEONE PLEASE HELP!!!!

Answers

Answer:

This is an arithmetic sequence with a common difference d of -5

Step-by-step explanation:

When you find out d, you realize the difference between the numbers to be -5. Since it is d and not common ratio r, it is an arithmetic sequence.

Again to keep it simple the pattern is minus 5 every time

Which of the following equations is graphed below?

Answers

Answer: 3rd answer choice

Step-by-step explanation:

Answer: 4th answer choice

Step-by-step explanation:

Match each polynomial expression to is additive inverse

Answers

Answer:

hope you get it ........

here is a screenie of the answer !!

ASAP!! Please help me. I will not accept nonsense answers, but will mark as BRAINLIEST if you answer is correctly with solutions.

Answers

Answer:

The number of copies can be any number greater than or equal to 1.

Explanation:

Remove the descriptions involving costs because that explains the range of the graph and not the domain.

The number of copies can be either 1, 2, 3, 4, 5, 6, or 7.

This description is false. There are an unlimited amount of copies you can make and not only up to 7 copies. Other wise the graph would end at x = 7.

Speaking of unlimited, the last choice is correct because you can get 1 copy or more than 1.

please help mee plzzzzz...solving quadratics​

Answers

Answer:

equation: x^2+12x-220 = 0

factored form: (x-10)(x+22) = 0

solution: x=10 or x=-22

dimensions: 4 cm, 11 cm, and 21 cm.

Step-by-step explanation:

Given:

Volume = 924

dimensions of cuboid = 4, (x+1), (x+11)

Solution

Calculate volume

4(x+1)(x+11) = 924

simplify

(x+1)(x+11) = 231

Expand

x^2+12x+11 = 231

Simplify

x^2+12x-220 = 0

Factor  

x^2-10x + 22x -220 = 0

x(x-10) + 22(x-10) = 0

(x-10)(x+22) = 0

x=10 or x=-22

Since x=-22 will give rise to negative dimensions, root will be rejected.

For x=10, the dimensions can be obtained by substituting x=10

x+1 = 11

x+11 = 21

So dimensions are

4 cm, 11 cm, and 21 cm.

Check: 4*11*21 = 924 checks.

If you give me proper answer then you will get 14 points.and brainiest.

Answers

Answer:

Answers are in the file.

Step-by-step explanation:

For each and every equation I plugged in whatever it told me x would equal and I used it to solve the equations.

Kevin cuts lawns during the summer months. He charges $10 plus $5 per hour. The algebraic model is C = 5h + 10, where C represents the total cost and h represents the hours worked. Use pencil and paper to create a table of values for hours worked from 1 to 5, incrementing h by 1 in each row.

Answers

Answer:

1 hour   : 15 dollars

2 hours: 20 dollars

3 hours: 25 dollars

4 hours: 30 dollars

5 hours: 35 dollars

Step-by-step explanation:

Substitute the hour number in for h and solve. for example, if you were trying to find 5 hours, you would produce the equation c = 5(5) + 10. once you solve that you get c = 25 + 10 which is also c = 35.

Use long division to find the quotient below.
(4x3 + 2x2 + 50) / (2x+5)

Answers

The quotient of the equation 4x³ + 2x² + 50 ÷ 2x + 5 using long division method is 2x² - 4x

Long division

4x³ + 2x² + 50 ÷ 2x + 5

[tex] \sqrt[2x + 5]{ {4x}^{3} + {2x}^{2} + 50 } [/tex]

2x² - 4x

_____________

= 2x + 5 | 4x³ + 2x² + 50

4x³ + 10x²

__________

- 8x² + 50

-8x² - 10

__________

40

Therefore,

the quotient is 2x² - 4xThe remainder is 40

Learn more about long division:

https://brainly.com/question/25289437

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WHAT IS THE TRUE SIMILARITY STATEMENT

Answers

Answer:

Option 2

Step-by-step explanation:

ΔPQR - ΔSTR

Because

∠S ≅ ∠P

∠T ≅ ∠Q

∠R ≅ ∠R

I hope this helps you

help I don’t understand this

Answers

Answer: 90 degrees

Step-by-step explanation: Each of these angles are at 90 degrees since there is a square box at each of their second points.

solved in addition and use multiplication!! PLEASE HELP ASAP!

Answers

Answer:

First by 3, second by -2.

Step-by-step explanation:

You need to get the x-factor to the smallest common multiple of 4 and 6, which is 12.

But also, if you add both, they should cancel out the x term, i.e.,:

-12x + 12x = 0

You get that by multiplying by 3 and -2, respectively.

The mean of a set of five different positive integers is 15. The median is 18. Find the maximum possible value of the largest of these five integers.

Answers

Answer:

35 (the sequence is 1,2,18,19,35)

Step-by-step explanation:

So you have 5 numbers a, b, 18, c, d ordered from low to high.

18 is given because it is the median.

If the mean is 15, the sum must be 75 (because 75/5=15).

d must be as high as possible, so the others must be as low as possible, but positive and different.

So let's say a=1 and b=2, we can't get any lower than that.

c can be no lower than 19, otherwise we'd lose the median.

That leaves for d = 75 - 19-18-2-1 = 35.

nice one

The largest possible integer for the given case is 51.

How to find the mean and median for a given sample of data?

In order to find the mean, first sum all the values of the data and count the number of data then divide them.

In order to find the median, first check whether the number of data is even or odd. For even number, the median is n/2 th element of the sample and for odd number the median is (n + 1)/2 th element.

Given that,

The mean of five integers is 15.

And, the median is 18.

Since the median of n number of data in a sample when n is odd is given as,

Median = ((n+1)/2) th element.

For n = 5, the median is 3rd element.

Which implies the 3rd element is 18.

Now, sum of the five integers is given by 5 × Mean which is,

5 × 15

= 75.

Suppose the five integers are x₁, x₂, x₃, x₄ and x₅ respectively.

Then as per the question,

x ₁+ x₂ + x₃+ x₄+ x₅ = 75

And, x₃ = 18

Then,  x ₁+ x₂ + 18 + x₄+ x₅ = 75

=>  x ₁+ x₂ + x₄+ x₅ = 75 - 18

=>   x ₁+ x₂ + x₄+ x₅ = 57    

In order two find the largest possible integer, suppose the remaining three of them are 1, 2 and 3.

The equation can now be written as,

1 + 2 + 3 + x₄ = 57

=> x₄ = 51

Hence, the maximum possible value of the largest integer is 51.

To know more about Mean click on,

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Which represents the reflection of f(x) = x over the y-axis?
х
-1
0
1
4
f(x)
undefined
0
1
2
f(x)
х
-1
0
1
1
0
-1
-2
4

Answers

Answer:

Graph having x ≤ 0

Step-by-step explanation:

f(x) = [tex]\sqrt{(-x)}[/tex]

Given function 'f' when reflected across the y--axis,

Translated form of the parent function will be,

g(x) = [tex]\sqrt{(-x)}[/tex]

Table for the input-output values for this function will be,

x             g(x)

-1               1

0               0

1              undefined

4             undefined

Table shows that the given function is undefined for x > 0

Domain of g(x) will be (-∞, 0],

Therefore, graph having values of x ≤ 0 will be the answer.

Answer:

I think its D on edge!

Step-by-step explanation:

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