1. The amount of time Mr. Smith spends exercising each day is
approximately normally distributed with a mean of 30 minutes and a
standard deviation of 10 minutes. On approximately what percent of the
days in a year does Mr. Smith exercise for between 10 minutes and 40
minutes?

Answers

Answer 1

Answer:boy

Step-by-step explanation:boy

Answer 2

Mr. Smith exercises for between 10 and 40 minutes on 77.45 percent of the days in a year.

Given that his exercising time follows a normal distribution with a mean of 30 minutes and a standard deviation of 10 minutes.

Here we have to find the percentage of days in a year that Mr. Smith exercises for between 10 and 40 minutes,

First, we need to standardize the values of 10 and 40 minutes using the formula,

⇒ z = (x - μ) / σ

where x is the value we want to standardize,

μ is the mean,

And σ is the standard deviation.

For x = 10:

⇒ z = (10 - 30) / 10

       = -2

For x = 40:

⇒ z = (40 - 30) / 10

      = 1

Now, we need to find the probability of Mr. Smith exercising between -2 and 1 standard deviations from the mean.

We can use a standard normal distribution table or a calculator to find this probability.

Using a standard normal distribution table,

we can find the probability of z being between -2 and 1 is about 0.7745. This means that on approximately 77.45% of the days in a year, Mr. Smith exercises for between 10 and 40 minutes.

Therefore,

Mr. Smith exercises for between 10 and 40 minutes on approximately 77.45% of the days in a year.

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Related Questions

In a storeroom,there are 30 blue balls,48 green balls,some red balls and some white balls. there are 3 times as many green balls as red balls and 5 times as many blue balls as white balls.
(a) How many balls are there altogether?
(b) How many balls are left in the room if 7/10 (fraction) of the balls are taken away?
pls help me answer both

Answers

Answer:

7/30

Step-by-step explanation:

We first have 7 blue and 3 red out of 10, so P(1st ball is red) = 3/10

Now, we have pulled a red ball out of the bag, leaving us with 7 blue and 2 red out of 9 total balls.Then P(2nd ball is blue) = 7/9.  Put this together, P(1st red AND 2nd blue) = 3/10⋅7/9 =7/30

the price of a sandwich decreases from $8 to $6 what is the percentage decrease in the price of the sandwich

Answers

Answer:

The percentage decrease is 25%.

Step-by-step explanation:

The difference in price is $2:

$8 - $6 = $2

Now to find the percentage decrease, we use the formula decrease in price divided by original price (or new/old) times 100:

2/8 * 100.

This equals 200/800 which is 25%.

Use cos to solve for a(please no links and show work)

Answers

fyi don’t ever press the links it’s so they can hack u LOL

Find the value of x

Answers

Answer:

x = 30

Step-by-step explanation:

24(24 + x) = 36² => tangent-secant theorem

Open the bracket

24*24 + 24*x = 36²

576 + 24x = 1,296

24x = 1,296 - 576

24x = 720

Divide both sides by 24

24x/24 = 720/24

x = 30

find the eighth term of the sequence 1/3, -1, 3, -9, ..

Answers

Answer:

-729

Step-by-step explanation:

sequence is to multiply by -3 to get next term

Choose an entree (steak, chicken, fish, or tofu), a side (mac & cheese, green beans, french fries, or bread), and a drink (water or soda)
Draw a tree diagram to the best of your abilities

Answers

You have steak Mac water or steak mac water, etc etc...

Determine the radius of convergence of the following power series.

Σ(-1)^k x^k/3^k

Answers

Answer:

(−1)kxk

Step-by-step explanation:

Therefore, the infinite series ∞∑k=11k does not converge.

(−1)kxk = 1 − x + x2 − x3 + ···. = ∞. ∑ k=0. (−x)k = 1. 1 − (−x). = 1. 1 + x ... 3. )k. = x. 1 − (x2/3). = 3x. 3 − x2 for |x2/3| < 1. 1.2 Radius of Convergence.

What percentage of the data values are greater than 45?

Answers

Answer:

50%

Step-by-step explanation:

45 is the median of this box plot and, theoretically, 50% of the data resides between the minimum and the median and 50% resides between the median and the maximum

Anyone know how to awnser this

Answers

answer:55
so you would find the mean and subtract the total data value from it.

Odin is recording the depreciation of his car. The table displays the number of years and the car's depreciated value for each year.
What will be the value of his car in year 10?
PLEASE GIVE ME THE ANSWER!!

Answers

Answer:

$1,158.08

Step-by-step explanation:

The value of the car in year 10 is $1158.08

How to determine the car value in year 10?

From the table, we have the following points

(x, y) = (1,5000) and (2,4250)

Start by calculating the rate of depreciation using:

r = y2/y1

So, we have:

r = 4250/5000

Evaluate

r = 0.85

The value of the car in nth year is calculated using:

y = y1 * r^(n - 1)

For the 10th year, we have:

y = 5000 * 0.85^(10 - 1)

Evaluate the product

y = 1158.08

Hence, the value of the car in year 10 is $1158.08

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Express the following measure in radians.
675°

Answers

Answer:

[tex]\frac{15\pi }{4}[/tex]

Step-by-step explanation:

Degrees to radians, multiply by pi/180

675pi/180

use a calculator to simplify

You get 15pi/4

The value of 675 degree is equivalent to [tex]\frac{15pi}{4}[/tex].

What is the formula to convert degree to radian?

The relation between radian and degree is given by Angle in radian=angle in degree*[tex]\frac{pi}{180}[/tex].

What is the conversion of 675degree?

We will substitute 675 for angle in degree into the formula to get the value in radian.

[tex]\frac{675*pi}{180}[/tex]

This will be [tex]\frac{15pi}{4}[/tex].

Therefore, the correct answer is [tex]\frac{15pi}{4}[/tex].

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The diagram represents two statements: p and q.
Which represents regions A, B, and C?
A) p v q
B) p -> q
C) q ^ p
D) q -> p​

Answers

Answer:

The Region A represents p

The Region B represents p ∧ q

The Region C represents q

Step-by-step explanation:

The figure is as follows :

Given - The diagram represents two statements: p and q.

To find - Which represents regions A, B, and C?

A) p v q

B) p -> q

C) q ^ p

D) q -> p​

Solution -

From the figure, we can see that,

The Region A represents p

The Region B represents p ∧ q

The Region C represents q

The truth table is as follows :

p         q        p ∧ q

T         T           T

T          F           F

F          T           F

F           F          F

What is the formula to find the perimeter of a pentagon


Answers

Answer:

For a regular polygon, the perimeter is equal to the product of one side length and the number of sides of the polygon. For example, the perimeter of a regular pentagon whose side length 8 cm, is given by; Perimeter of a regular pentagon = 8 x 5 = 40 cm.

Step-by-step explanation:

I hope I've helped :).

Answer:

perimeter = number of sides x the length of any side.

Step-by-step explanation:

brainliest pls

Find the measure of the missing angle

Help plss

Answers

Answer: [tex]150^{\circ}[/tex]

Step-by-step explanation:

By the exterior angle theorem,

[tex]m\angle BQR=50^{\circ}+100^{\circ}=\boxed{150^{\circ}}[/tex]

Solve 8 = 2x +4.(1 point)

01) x = -4
O2) x = -1
3) x = 0
4) x = 7

Answers

Are you sure about Options؟ because it will be 2 !

Answer:

x=2, should be the correct answer but that isnt a choice

Step-by-step explanation:

8=2x+4

4=2x

2=x

x=2

Mary split her gross pay from last week equally between her student loans, rent, and savings. She put $450 in her savings account. Write and solve an equation to determine how much Mary earned last week.

Answers

Answer:

1350

Step-by-step explanation:

if she spilt her pay EQUALLY between 3 things, and she added 450 to her savings, everything else would be 450 too. so 450 x 3 = 1350

50 POINTS !!


PLEASE HELP !! ILL GIVE BRAINLIEST TO THE RIGHT ANSWERS.

Answers

Answer:   9

========================================================

Work Shown:

Apply the pythagorean theorem

a^2 + b^2 = c^2

12^2 + b^2 = 15^2

144 + b^2 = 225

b^2 = 225-144

b^2 = 81

b = sqrt(81)

b = 9

Answer:

9

I am not able to upload my answer unless its 20 characters long

Please Help Me with these 3 questions !!

Answers

Answer:

17) c

18) a) 19

19) i dont know sorry

Step-by-step explanation:

the first two i can solve, the first one i simply put in a calculator and observed that it did not pass the vertical line test, so it is now a function. the second one all you have to do is sub in -3 for x so the equation reads |-(-3)^3-8| which equal 19, sorry i couldnt help on 19

Is the point (4,0) on the parabola given by the equation: y=x^2-4x? Explain your answer
HELPP PLEASE ILL MARK BRAINIEST

Answers

Give the point (4,0) you’re going to substitute those given numbers into the equation so, 0=4^2-4(4) now we know four squared is 16 and negative times a positive is negative 16 so 0=16-16, 0=0 this is true. Point (4,0) is indeed on the parabola

Mr kirk has 6 boxes of 20 oranges how many does she have in total

Answers

Answer:

120

Step-by-step explanation:

6 x 20 = 120

Assuming a soap bubble is a perfect sphere, what is the diameter of a bubble containing 500 cm of air, to the nearest tenth of a centimeter?

Answers

Answer:

9.8 cm

Step-by-step explanation:

Volume of a sphere, V = 4/3 πr³

V = 500cm³

π = 3.14

500 = 4/3 * 3.14 * r³

500 * 3 = 4 * 3.14 * r³

1500 = 12.56r³

r³ = 1500 / 12.56

r³ = 119.42675

r = (119.42675)^1/3

r = 4.9245574

Diameter = 2r

Diameter = 2 * 4.9245574

Diameter = 9.849

= 9.8cm

An item costs $380 before tax and the sales tax is $15.20 find the sales tax rate write your answer as a percentage

Answers

The sales tax is 4%.

To find the sales tax use the equation to solve for x and determine what percentage 15.20 is of 380.

$380 * x = $15.20

X = 15.2/380

X = .04

Convert .04 into a percentage by multiplying by 100, which equals 4%.

convert logx8=2 to exponential form​

Answers

Answer:

8 = x²

Step-by-step explanation:

Logarithmic form: logₓ(8) = 2

Exponential form: 8 = x²

Germany 3. Guam 24
Greenland -10
Which location is the warmest?

Answers

Guam would be the warmest given out of the 3 degrees you’ve given
24 > 3 > -10

Answer: Guam

Step-by-step explanation:

Guam's location is the warmest because its a higher number than Greenland and Germany

Can someone help me with this please

Answers

Your answer is 90$ hope this helps and sorry if it’s wrong

Find the area. The figure is not to scale

Answers

Answer:

5.4 cm^2

Step-by-step explanation:

Given,

Height ( h ) = 2 cm

Base ( b ) = 5.4 cm

To find : Area ( triangle ) = ?

Formula : -

Area ( triangle ) = bh / 2

Area ( triangle )

= 5.4 x 2 / 2

= 5.4 cm^2

Which table represents the function y = 2x + 4?

Answers

Answer:

I believe the answer is C, however I'm not completely sure. Let me know if I can fix it! I'm not 100% sure, I'm sorry if it's wrong!

Step-by-step explanation:

I hope this helps, please remember to give five stars, press the heart, and mark brainliest. If you need any more help, please let me know!

*optional* amos: tealyn337

Question 5 of 35:
find the value of 10!/8!​

Answers

9514 1404 393

Answer:

  90

Step-by-step explanation:

10! = 10 × 9 × 8!

so 10!/8! = 10×9 = 90

__

The factorial of an integer is the product of that integer and all the positive integers less than it. So, 3! = 3×2×1, for example. 0! is defined as 1.

factorise y^6 - 64 as possible

Answers

Answer:

Step-by-step explanation:

Observe that [tex]y^6-64=y^6-2^6.[/tex]

And you factor out using this expression:

[tex](a^6-b^6)=(a-b)(a^5+a^4b+a^3b^2+a^2b^3+ab^4+b^5)[/tex]

Take a=y and b=2.

Answer:

(y - 2)(y + 2)([tex]y^{4}[/tex] + 4y + 16)

Step-by-step explanation:

[tex]y^{6}[/tex] - 64 ← is a difference of cubes and factors in general as

a³ - b³ = (a - b)(a² + ab + b²) , then

[tex]y^{6}[/tex] - 64

= (y² )³ - 4³

= (y² - 4)([tex]y^{4}[/tex] + 4y + 16) ← note y² - 4 is a difference of squares

= (y - 2)(y + 2)([tex]y^{4}[/tex] + 4y + 16)

Plz help me have a blessed one

Answers

its D because you have to times 6 then minus 6!
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