- C C) C.P = Rs 20, profit Rs 2, S
.P. -​

Using the normal distribution, it is found that:

a) 4.46% of finish times was higher than 72 minutes.

b) 55.11% of finish times was between 52 and 70 minutes.

c) The 40th percentile of finish times is 52.5 minutes.

d) The 95th percentile of finish times is 71.45 minutes.

In a normal distribution with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the z-score of a measure X is given by:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

In this problem:

Item a:

The proportion is 1 subtracted by the p-value of Z when X = 72, hence:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

[tex]Z = \frac{72 - 55}{10}[/tex]

[tex]Z = 1.7[/tex]

[tex]Z = 1.7[/tex] has a p-value of 0.9554

1 - 0.9554 = 0.0446

0.0446 x 100% = 4.46%

4.46% of finish times was higher than 72 minutes.

Item b:

Th proportion is the p-value of Z when X = 70 subtracted by the p-value of Z when X = 52, hence:

X = 70:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

[tex]Z = \frac{70 - 55}{10}[/tex]

[tex]Z = 1.5[/tex]

[tex]Z = 1.5[/tex] has a p-value of 0.9332.

X = 52:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

[tex]Z = \frac{52 - 55}{10}[/tex]

[tex]Z = -0.3[/tex]

[tex]Z = -0.3[/tex] has a p-value of 0.3821.

0.9332 - 0.3821 = 0.5511

0.5511 x 100% = 55.11%

55.11% of finish times was between 52 and 70 minutes.

Item c:

The 40th percentile is X when Z has a p-value of 0.4, so X when Z = -0.253.

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

[tex]-0.253 = \frac{X - 55}{10}[/tex]

[tex]X - 55 = -0.253(10)[/tex]

[tex]X = 52.5[/tex]

The 40th percentile of finish times is 52.5 minutes.

Item d:

The 95th percentile is X when Z has a p-value of 0.95, so X when Z = 1.645.

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

[tex]1.645 = \frac{X - 55}{10}[/tex]

[tex]X - 55 = 1.645(10)[/tex]

[tex]X = 71.45[/tex]

The 95th percentile of finish times is 71.45 minutes.

A similar problem is given at https://brainly.com/question/24663213

Answer:

3 / (3t+4) is the answer

Answer:

Yes

Step-by-step explanation:

Area rule is correct

Answer:

2143.57 cm^3

Step-by-step explanation:

the formula for the volume of a sphere is (4/3)pi*r^3. plug 8cm in for r to get (4/3)*3.14*8^3=2143.57

Answer:

The perimeter of triangle is 33 meters.

Step-by-step explanation:

Given that the triangle is Equivalent Triangle where all angles and sides are equal, so we can assume that:

7x - 17 = 4x - 5

7x - 4x = 17 - 5

3x = 12

x = 12 ÷ 3

x = 4

OR:

4x - 5 = 2x + 3

4x - 2x = 3 + 5

2x = 8

x = 8 ÷ 2

x = 4

Substitute x = 4 into all expressions:

7x - 17 = 7(4) - 17 = 11 meters

4x - 5 = 4(4) - 5 = 11 meters

2x + 3 = 2(4) + 3 = 11 meters

In order to find out the perimeters, you have to add up all the sides:

P = 11 + 11 + 11

P = 33 meters

Answer:

p = 33 m

Step-by-step explanation:

Since this is an equalateral triangle all the sides are equal

-----------------------------

set any two sides equal

7x - 17 = 2x + 3

subtract 2x from both sides

5x - 17 = 3

add 17 to both sides

5x = 20

Divide both sides by 5

x = 4

------------------------------

Find the length of any side

s = 2x + 3

s = 2(4) + 3

s = 11

-----------------------

the perimiter is the three times any side

p = 3s

p = 3 * 11

p = 33 m

Answer:

C

Step-by-step explanation:

Answer:

358 steps

Step-by-step explanation:

Step-by-step explanation:

4b + z I think lol I honestly looked it up

Answer:

Answered is x= 55x

Step-by-step explanation:

13x+10 * 12x+20

soln:

or, 13x+12x+10+20

or, 25x+30

:., therefore, x=55x

Answer:

D

Step-by-step explanation:

Answer:

  A.

Step-by-step explanation:

The attached graph has a y-intercept of -1 and a slope of 2, as the equation says it must.

__

The equation is in slope-intercept form, where the coefficient of x is the slope of the line. That is, the ratio of "rise" to "run" is 2: the line rises 2 grid squares for each grid square it runs to the right.

[tex]xy =-21~~.....(i)\\\\x+ y=20~~....(ii)\\\\\text{From equation (i):}\\\\xy = -21 \implies y = -\dfrac{21}x~~.....(iii)\\\\\text{Substitute y in equation (ii):}\\\\x - \dfrac{21}x = 20\\\\\implies x^2 -20x -21= 0\\\\\implies x^2 - 21x + x-21=0\\\\\implies x(x-21) +(x-21) =0\\\\\implies (x+1)(x-21)=0\\\\\implies x = -1 ~~\text{or}~~ x =21\\\\\text{Substitute x in equation (iii):}\\\\y = 21 ~~ \text{or}~~ y = -1\\\\\text{Hence,}~ (x,y)=(21,-1) ~~ \text{or}~~ (x,y) = (-1,21)[/tex]

Answer:

Your answer would be x=2±√5

Step-by-step explanation:

(x • (y³)) - 32xyz²

Pull out like factors :

xy³ - 9xyz² = xy • (y² - 9z²)

Factoring: y² - 9z²

Theory : A difference of two perfect squares, A2 - B2 can be factored into (A+B) • (A-B)

Proof : (A+B) • (A-B) =

A² - AB + BA - B² =

A² - AB + AB - B² =

A² - B²

Note : AB = BA is the commutative property of multiplication.

Note : - AB + AB equals zero and is therefore eliminated from the expression.

Check : 9 is the square of 3

Check : y² is the square of y¹

Check : z² is the square of z¹

Factorization is : (y + 3z) • (y - 3z)

Final result :

xy • (y + 3z) • (y - 3z)

Answer:

26 1/4 minutes or 1635 seconds

Step-by-step explanation:

Lin runs 4 laps in 5 minutes. You must turn this into a unit rate. In order to do this, you divide 4 laps by 4 to get 1 lap. To get the equivalent, you also have to divide 5 minutes (300 seconds) by 4. This will get you one lap for every 75 seconds. Because Lin ran 21 laps, see how many times 4 can go into 20 using a remainder if necessary. 4 can go into 21 5 times with a remainder of 1. 4*5=20 5*5=25. Now you add 75 seconds because you have an extra lap.

Answer:

[tex] \frac{5}{4} [/tex]

Hello there! :)

45/36

Let's look for common factors:

45 is divisible by 3, 9 (I list the common factors here)

36 is divisible by 3, 9

Now, the greatest common factor (9) is the one we will use.

Divide 45 by 9:

5

36 by 9:

4

So the answer is 5/4.

Hope this helps!

~Just a determined gal

#CarryOnLearning

[tex]MysteriousNature[/tex]

Answer:

The answer is the following:

r≈5.64in

Answer:

5.641

Step-by-step explanation:

If you think about it, the formula for getting the area of a circle is:

[tex]a = \pi r^2[/tex]

So to rearrange and make r the subject, divide both sides of the equation by pi:

[tex]\frac{a}{\pi} = \frac{\pi r^2}{\pi}[/tex]

[tex]\frac{a}{\pi} = r^2[/tex]

Now square root both sides to find r:

[tex]\sqrt{\frac{a}{\pi} } = \sqrt{r^{2} }\\\sqrt{\frac{a}{\pi} } = r[/tex]

Plug the known area value in:

[tex]\sqrt{\frac{100}{\pi} } = r[/tex]

= 5.641

Hope this helps!

Answer:

y = 700x - 8

Step-by-step explanation:

Answer:(x-3)² + (y-2)² = 25

Step-by-step explanation:

A circle's equation is (x-h)² + (y-k)² = r². When centered at the origin, h and k equal 0. If you shift the circle, say, one unit up, then k equals 1, and the equation is x² + (y-1)² = r².

So for your circle, the equation would be (x-3)² + (y-2)² = 5² or (x-3)² + (y-2)² = 25.

Answer:

(x - 3)² + (y - 2)² = 25

Step-by-step explanation:

The equation of a circle in standard form is

(x - h)² + (y - k)² = r²

where (h, k ) are the coordinates of the centre and r is the radius

Here (h, k ) = (3, 2 ) and r = 5 , then

(x - 3)² + (y - 2)² = 5² , that is

(x - 3)² + (y - 2)² = 25 ← equation of circle

Answer:

X = - 31

Step-by-step explanation:

The < always faces the largest number so do. -10-20= - 30 so any number bellow that e.g.-31, -45 will be correct I think

Answer:

Step-by-step explanation:

Answer:

I will answer this soon I don't remember

Answer:

A. Rate: the percent that interest is paid annually as a decimal

Step-by-step explanation:

Edge 2022 got the answer right :)

Answer:

1. 10$

2. 24,59$

Step-by-step explanation:

that is 12 over 5

12! / (5! × (12-5)!) = 12×11×10×9×8/5×4×3×2 =

= 11×9×8 = 792

Answer:

1 & 3 correct, not sure how race method is used but it should be enough

Step-by-step explanation:

1 is correct since when you add 3 to -3 you get zero and leaves x on the left of the equal sign. then it's equally on both side so you add 3 to 6

2 isn't correct, -3-3 gives -6 and x-6=3 won't give much of an answer

3 is also correct. You basically think "a number that's 6 when you take away 3? could it be 9?" then you try and go 9-3? yes it's 6.

the straight up answer is -12/5

Hey where are the questions?