The results of a national survey showed that on average, adults sleep hours per night. Suppose that the standard deviation is hours. Round your answers to the nearest whole number. a. Use Chebyshev's theorem to calculate the percentage of individuals who sleep between and hours. At least b. Use Chebyshev's theorem to calculate the percentage of individuals who sleep between and hours. At least c. Assume that the number of hours of sleep follows a bell-shaped distribution. Use the empirical rule to calculate the percentage of individuals who sleep between and hours per day. At least

Answers

Answer 1

Answer:

Following are the solution to the given question:

Step-by-step explanation:

For point a:

[tex]6.5 - 4.9 = 2.4 \\\\\frac{2.4}{1.2} = 2 \\\\\sigma \ \ so \ k = 2[/tex]

For point b:

[tex]\frac{3}{1.2}\ \ \sigma\ \ so \ k =\frac{3}{1.2} \ \ so\ \ 1- \frac{1}{k ^2} = 0.84[/tex]

For point c:

Once again, we have k = 2 though with Chebyshev discrepancy of witness numbers in the same number of standard deviations off mean = at least 75 percent.


Related Questions

Please help me with i will mark brainliest

Answers

Answer:

125

Step-by-step explanation:

This can be simplified to sqrt(25) ^3

sqrt(25) is 5

          (5*5) = 25

5^3 = 225

          (5*5*5) = 125

Answer:

125

Step-by-step explanation:

[tex]\sqrt[2]{25^3} \\=25\sqrt[2]{25} \\=25*5\\=125[/tex]

Can someone plz help me on dis

Answers

Answer:

6cm squared

Step-by-step explanation:

1 x 2 = 2 cm

2 x 3 = 6 cm

6 cm squared

Out of 50 people surveyed, 42 respond ‘yes’ to the survey question. What is the probability of a ‘yes’ response? Write your answer as a decimal.

Answers

Answer:

0.84

Step-by-step explanation:

Given

Total no. of observation = 50

Given, No. of observations that told yes = 42

Therefore,

Probability of getting response as yes

[tex] = \frac{42}{50} [/tex]

[tex] = \frac{21}{25} [/tex]

In decimal form ,

= 0.84 (Ans)

Allison makes necklaces.
After buying supplies, she
has a profit of -$150. She
sells 6 necklaces for $23
each. What is her profit
now?

Answers

Answer:

288$

Step-by-step explanation:

6 · 23 = 138$

138$ + 150$ = 288$

$288

Is the answer
Hope this helped

Pls pls pls what is the equation for this graph

Answers

Answer:

[tex]y = - 5x + 4[/tex]

Step-by-step explanation:

You can plot the graph on online graphing calculator to check.

Brainliest please~

For the following right triangle, find the side length x. Round your answer to the nearest hundredth.
7
12
x

Answers

Their are two triangle possible.

1 ) With hypotenuse of length x.

2) With hypotenuse of length 12.

Solution :

Case : 1 )

Using Pythagoras theorem :

x² = 7² + 12²

x = √( 7² + 12²)

x = √( 49 + 144 )

x = √(193)

x = 13.89

Case : 2 )

Using Pythagoras theorem :

x² + 7² = 12²

x² = 144 - 49

x = √95

x = 9.75

Hence, this is the required solution.

Question 30
Explain how to use a net to find the surface
area of a three-dimensional figure ​

Answers

Answer:

1. Create a three-dimensional figure net.

2. Determine the area of each net face.

3. To calculate the surface area of the cube, add the areas of all the net's faces.

Which of the following graphs represents a function? Graph a or b

Answers

Answer:

graph b represents a function.

Answer:

graph b

Step-by-step explanation:

what is the answer to this?

Answers

Step-by-step explanation:

hope this will help you alot

if this really help you please votee or mark me as brinalist.

Thankyou


Find the area of the circle with a circumference of
30
π
. Use 3.14 for
π
. Round to the nearest hundredth.

Area in in decimal form: ______

Options:

Answers

Answer:

circumference of the circle=2πr

30π=2πr

r =15

radius of the circle is 15 mm

area of the circle=πr²

=3.14×15²

=706.5 mm²

pls help "find the equation of the line below"

Answers

B, y= 1/3x bc its 1 up 3 left since that was the first point w no decimals
It’s B , because slope equals y2-y1/x2-x1 and you will get y=1/3x

Lawrence makes tomato cages out of wire. He has 48 1/3 yards of wire and uses 6 3/4 yards on each tomato cage. How many tomato cages can Lawrence make with the wire he has?
A. 6
B. 7
C. 8
D. 9

Answers

7 due to 48 1/3 divide by 6 1/3 only breaks down to 7.1

Which of the following steps were applied to ABCD to obtain A'B'C'D'?

Answers

Answer:

It is C because on 12 I can see 3.

Step-by-step explanation:

What is a formula for the nth term of the given sequence?
16, 18, 20...

Answers

Answer:

18

Step-by-step explanation:

cause I took the test and I its right

What is the value of x?



Enter your answer in the box.

Answers

Answer:

x=12

Step-by-step explanation:

Both Angles together have a 180 degrees, set your formula up as

180=(10x-20)+(6x+8)

180=10x+6x-20+8

180+20-8=16x

192=16x

192/16=x

12=x

Answer:

x = 12

Step-by-step explanation:

The two angles form a straight line so they add to 180

10x-20 + 6x+8 = 180

Combine like terms

16x -12 = 180

Add 12 to each side

16x-12+12=180+12

16x = 192

Divide each side by 16

16x/16 =192/16

x = 12

Jim orders prints from a website. The site charges him $6.95 a month and $0.04 for each print he orders.
Enter an equation that can be used to find the number of prints, P, Jim ordered last month if the website charged
him $17.79.
Enter the number of prints Jim ordered last month.

Answers

Answer:

271 prints.

Step-by-step explanation:

So to answer the question, we need to first write a formula to find the answer.

We know that the starting price per month is 6.95 dollars.

The full price is 17.79 dollars.

So we can start this off by writing:

17.79=6.95

Now, every time Jim prints, he charges 0.04 dollars. This will add to the orginal cost, which is 6.95. And remember this isnt a single payment, but a payment that varies depending on the amount of paper, p. So we can write this as:

17.79=6.95+0.04p

6.95 wont ever change, hense why it doesnt have a variable. 0.04 however, varies depending on the amount of paper, and thats why we included the variable p.

These two values combined make 17.79, hense why it is on the opposite side of the equals sign.

So, now we need to find how many papers, p, were printed.

To find this, lets just take our equation, and solve for P like an ordinary problem:

17.79=6.95+0.04p

So first off, lets subtract the 6.95 from both sides, because that iscolates the 0.04p, which contains the variable.

Now we have:

10.84=0.04p

Now, we could divide both sides by 0.04.

But remember, the whole point of doing this is to make 0.04p into 1p.

So another way of doing this is multiplying the 0.04 by 25, since 0.04*25=1.

So lets multiply both sides by 25:

10.84*25 is 271.

Since 10*25 is 250

And

.84*25 is 21.

So now we know:

271=1p

So 271 is your answer!

Hope this helps!

The equation that can be used to find the number of prints, p, is $17.79 = $6.95 + $0.04p and Jim ordered 271 prints last month.

What is an equation?

An equation is an expression that shows the relationship between two or more numbers and variables.

We can write an equation to represent the total cost that Jim was charged by the website for last month's prints, p to represent the number of prints he ordered:

Total cost = Monthly fee + Cost per print x Number of prints

Using the values given in the problem:

$17.79 = $6.95 + $0.04p

To solve for p, one side of the equation. First, we can subtract $6.95 from both sides:

$10.84 = $0.04p

Then, we can divide both sides by $0.04:

p = 271

To learn more about equation click on;

brainly.com/question/31112129

#SPJ2

What is the value of a?
A)168
B)108
C)54
D)30

Answers

D should be the correct answer

Solve the equation
(0)
36
(6)
O A * = 8
O B x=7
0 CX=512
0 D
3

Answers

Answer

A.x=8

1/3x-2/3x=2

x-2=6

x=6x2

x=8

Which number line represents the solution set for the inequality 3(8 - 4x) < 6(x - 5)?
+
4
-5
-4
-3
-2
-1 0
1 2 3
5
+
+
-5
+ + +
-2 -1 0
+
2 3 4 5
-4
-3
1
út
+
+
+
-2 -1 0
-4
+
3
-5
-3
+
4
1
2
5
-5
-4
-3
-2 -1 0
1
2 3
4 5
Zoom in to see number line clearly

Answers

-3 greater than x

so I guess it should be the THIRD ONE and sorry if my answer is wrong but i tried my best so enjoy!

the graph of the function f(x) is shown

Answers

Answer:

where is the graph

and what is your question

could you explain

Find q
(7q-46)
(3q+6)

Answers

Answer:

[tex]q = 22[/tex]

Step-by-step explanation:

The angle measure of a straight line is (180) degrees As given in the picture, line (AC) is a straight line, thus its angle measure is (180) degrees. Angles (ABD) and (DBC) make up line (AC). Therefore, one can conclude that the sum of angles (ABD) and (DBC) is (180) degrees. Form an equation, simplify and use inverse operations to solve for the unknown parameter (q).

[tex](<ABD) + (<DBC) = (AC)[/tex]

Substitute for the angle measures,

[tex](7q-46)+(3q+6)=180[/tex]

Simplify,

[tex]10q-40=180[/tex]

Inverse operations,

[tex]10q-40=180\\\\10q = 220\\\\q = 22[/tex]

Answer:

need pts

Step-by-step explanation:

The ratio of sheep to cows in a field is 3:8. The ratio of cows to pigs in the same field is 5:6. What is the ratio of sheep to cows to pigs?

Answers

Answer:

3:5:6

Step-by-step explanation:

because there are 3 sheep 5 vows and 6 pigs

Select the correct answer.
Simplify the expression so there is only one positive power for the base, -5.
–5? = -52
OA
1
59
O B.
-59
OC.
--55
OD.
55

Answers

Answer:

I think the answer is C.

Step-by-step explanation:

The law of exponents states that when you divide the same base you subtract the exponents.

Triangles A B C and R M Q are shown. Angles C A B and M R Q are 29 degrees. Angles A B C and R M Q are 116 degrees.
What additional information could be used to prove that the triangles are congruent using AAS? Select two options.

AngleC ≅ AngleQ
CB ≅ QM
AC = 3.9cm and RQ = 3.9cm
mAngleC = 35° and mAngleQ = 35°
AB = 2.5cm and MQ = 2.5cm

Answers

Answer:

Option 1: AC= 3.9cm and RQ=3.9cm

Option 2: CB = QM

Step-by-step explanation:

i think because you need a side

The additional information needed to prove both triangles are congruent by AAS is any of the following:

C. AC = 3.9cm and RQ = 3.9cm

E. BC = 2.5cm and MQ = 2.5cm

What is the AAS Theorem?

Based on the AAS theorem, two triangles are proven to be congruent if two angles and one non-included side in one triangle are congruent to corresponding two angles and one non-included side in the other triangle.

From the image of the triangles, we know that two pairs of the angles, 29° and 116°, are congruent to each other in the two triangles.

For us to prove that both triangles area congruent by the AAS theorem, we will need to know either of the following: C. AC = 3.9cm and RQ = 3.9cm or E. BC = 2.5cm and MQ = 2.5cm.

Learn more about the AAS Theorem on:

https://brainly.com/question/14635501

#SPJ6

?
Which is the graph of f(x)

Answers

Answer:

pls provide all the option

Answer:

Neither of ur options :(

Step-by-step explanation:

[tex]f(x) = 3(\frac{2}{3})^x[/tex]

y - intercept :

[tex]x = 0, f(x) = 3 \times (\frac{2}{3})^0 = 3[/tex]

Option 1 : y intercept is 6

option 2 : y intercept is 6

Figure A is a scale image of Figure B what is the value of x

Answers

Answer:

72

Step-by-step explanation:

20 got 4 added to it and the only number that gives you 24 when you multiply it is 4x6 and we can prove that to be right because the one before it is 4x5 and it gives us 20. Now that we know the multiplier is 5 and 6 we can ask ourselves, "What do I multiply by 5 that gives me 60?" And that is 12. So 12x6 is 72 for x.

The kitchen, dining room, and living room of a house will be painted, each with a different color. There are 7 colors to choose from. This means that there are _[blank]_ color arrangements possible.

Answers

Answer:

21

Step-by-step explanation:

Given that :

Number of rooms = 3

Variants of paint available = 7

Since the rooms will be painted with different colors :

Hence,

Number of possible paintings for kitchen = 7 (7 different paints)

This also applies to the other 2 rooms

Hence,

We have 3 * 7 = 21 color arrangements possible.

Peter works at a camera store. He is paid an hourly rate, plus 2 points
16% commission on everything he sells. One week, he was paid $515 for
working 20 hours and selling $1,500 worth of camera equipment. What is
his hourly rate? *
A) $12.00 per hour
B) $13.75 per hour
C) $21.63 per hour
D) $25.75 per hour

PLSS HELP

Answers

Answer:

fdd

yfddd

Step-by-step explanation:

dded fdd fdd fdd fddc rttyj hreef ggg

Find the value of x
A.)20
B.)55
C.)70
D.)38

Answers

Answer:

A.) 20

Step-by-step explanation:

These angles are complementary meaning they add up to 90°.

4x - 10 + x = 90

5x - 10 = 90

5x = 100

x = 20

Answer:

Hello! answer: x = 20

Step-by-step explanation:

This is a complementary angle meaning it will add up to 90 degrees so...

20 × 4 = 80 80 - 10 = 70

70 + 20 = 90 therefore x = 20

10. It rained 375 inches in 15 hours. At this rate, how much will
it rain in 35 hours? Answer in decimal form.

Answers

Answer:

875

Step-by-step explanation:

375 divided by 15 =

25

25 times 35 =

875

Dividing 375 by 15 shows how much it rains per hour

Then times that by the number of hours to get your answer

Answer:

Step-by-step explanation:

Set this up as a proportion with the number of inches of rain on the top and the number of hours it rained on the bottom.

[tex]\frac{in.}{hrs}:\frac{375}{15}=\frac{x}{35}[/tex] and cross multiply to solve for x:

15x = 13125 so

x = 875 inches

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