This one is tricky! Imagine that you meet a new friend who is also a beginner, and she can run the 5k in 23.5 minutes. You wonder what percentage of the beginner running population could run the 5k faster than your new friend (that is, what percentage of the population has a time that is less than your new friend

Answers

Answer 1

Answer:

38.74%

Step-by-step explanation:

Given the data:

21 21 22 22 23 23 23 24 24 24 24 24 25 25 25 26 26 27 27

We obtain the beginner running population and standard deviation

Population mean, μ = Σx/n = 456/19 = 24

Standard deviation, σ = 1.747 (using calculator)

Friend's Runtime, x = 23.5 minutes

Obtaining the friend's Zscore :

Z = (x - μ) / σ

Z = (23.5 - 24) / 1.747

Z = - 0.286

Obtaining the Pvalue :

Using a standard normal distribution table :

P(Z < - 0.286) = 0.38744

Hence. Percentage of population that has lesser time :

0.38744 * 100% = 38.74%


Related Questions

In the given figure, find m_RST, if m RSU = 43° and m_UST = 23°.

Answers

Answer:

66

Step-by-step explanation:

Add both of the angles given together

43 + 23

what are the zeroes of f(x)=(x-7)(x+8)

Answers

Answer:

The zeroes of f(x) = (x-7)(x+8) are 7 and -8.

Step-by-step explanation:

You have to figure out what makes each of the equal to zero.

Step 1 : Make the 2 equations both equal 0.

x-7 = 0

x+8 = 0

Step 2: Solve for x

x-7 = 0

x=7

x+8 = 0

x=-8

So 7 and -8 are both zeroes of this function.

Ayuda porfavor !!!!!!!!

Answers

Answer:

La hipotenusa del triángulo mide 5 metros, el ángulo (a) mide 53,13º y el ángulo (b) mide 36,87º.

Step-by-step explanation:

Dado que del triángulo rectángulo se conocen sus dos catetos, uno mide 4 metros y el otro 3 metros, para hallar su hipotenusa y sus ángulos interiores se deben realizar los siguientes cálculos:

4^2 + 3^2 = X^2

16 + 9 = X^2

√25 = X

5 = X

sen(a) = 4/5

(a) = 53,13º

(b) = 180 - (90º+53,13º)

(b) = 36,87º

Así, la hipotenusa del triángulo mide 5 metros, el ángulo (a) mide 53,13º y el ángulo (b) mide 36,87º.

Solve the system of linear equations below.

6x + 3y = 33
4x + y = 15

A.
x = 2, y = 7
B.
x = -13, y = 7
C.
x = - 2/3, y = 12 2/3
D.
x = 5, y = 1

Answers

Answer:

A. x=2 y=7

Step-by-step explanation:

-12x -3 = 3y

6x + 3y = 33

sooo you add them up...

so its

-6x = -12

x=2

and then you plug in the x value into one of the equations

6x + 3y = 33

6(2) + 3y = 33

12 + 3y = 33

3y = 33 - 12

3y = 21

21/3=7

y=7

We are throwing darts on a disk-shaped board of radius 5. We assume that the proposition of the dart is a uniformly chosen point in the disk. The board has a disk-shaped bullseye with radius 1. Suppose that we throw a dart 2000 times at the board. Estimate the probability that we hit the bullseye at least 100 times.

Answers

Answer:

the probability that we hit the bullseye at least 100 times is 0.0113

Step-by-step explanation:

Given the data in the question;

Binomial distribution

We find the probability of hitting the dart on the disk

⇒ Area of small disk / Area of bigger disk

⇒ πR₁² / πR₂²

given that; disk-shaped board of radius R² = 5, disk-shaped bullseye with radius R₁ = 1

so we substitute

⇒ π(1)² / π(5)² = π/π25 = 1/25 = 0.04

Since we have to hit the disk 2000 times, we represent the number of times the smaller disk ( BULLSEYE ) will be hit by X.

so

X ~ Bin( 2000, 0.04 )

n = 2000

p = 0.04

np = 2000 × 0.04 = 80

Using central limit theorem;

X ~ N( np, np( 1 - p ) )

we substitute

X ~ N( 80, 80( 1 - 0.04 ) )

X ~ N( 80, 80( 0.96 ) )

X ~ N( 80, 76.8 )

So, the probability that we hit the bullseye at least 100 times, P( X ≥ 100 ) will be;

we covert to standard normal variable

⇒ P( X ≥  [tex]\frac{100-80}{\sqrt{76.8} }[/tex] )

⇒ P( X ≥ 2.28217 )

From standard normal distribution table

P( X ≥ 2.28217 ) = 0.0113

Therefore, the probability that we hit the bullseye at least 100 times is 0.0113

Pls answer this question

Answers

Answer:

x = 100 degree

Step-by-step explanation:

EF//GC => NF // OC

∠ANE=∠ONF     [Vertically opposite angles]

∠ONF=80

In Quadrilateral OCFN,

NF // OC

∠ ONF + x = 180     [Linear Pair]

=> 80 + x = 180

=> x = 180-80

=> x = 100

Answer:

x=100°

Step-by-step explanation:

corresponding angles

Ms. Weaver plans to decorate the bulletin board in her classroom. She purchased 30 sheets of construction paper for $0.30 per sheet, 5 boxes of thumbtacks for $0.70 per box, and 4 framed pictures for $6.00 per picture. How much money did Ms. Weaver spend for the items?

Answers

Answer:

$36.5 money ms.weaver spent for the items

Need help with this really fast

Answers

Answer:

6

Step-by-step explanation:

You can apply the proportion of 9/6 to 4 to get 6:

6*(9/6)= 9

So

4*(9/6) = Length LA

6= Length LA

Answer:

Option C, or [tex]2\frac{2}{3}[/tex]

Explanation:

We can see that the Line FM in the smaller triangle dialates to Line LK in the bigger triangle by the scale factor of:

FM/LK

6/9 or 2/3

So we would know that to find out the value of LA in the bigger triangle we would have to dialate it’s corresponding side FI in the smaller triangle by the same scale factor:

4 * 2/3

=> [tex]2\frac{2}{3}[/tex] = LA

Hope this helps!

PLEASE HELP!!!! Choose the best graph that represents the linear equation: 4x + y = 0 Graph A On a coordinate plane, a line goes through (0, 0) and (1, 4). Graph B On a coordinate plane, a line goes through (0, 0) and (1, negative 4). Graph C On a coordinate plane, a line goes through (0, 0) and (4, negative 1). Graph D On a coordinate plane, a line goes through (0, 0) and (4, 1). a. Graph A c. Graph C b. Graph B d. Graph D Please select the best answer from the choices provided A B C D

Answers

Answer:

see graph...

B On a coordinate plane, a line goes through (0, 0) and (1, negative 4).

Step-by-step explanation:

Answer:

Step-by-step explanation:

To determine the graph that represents the linear equation 4x + y = 0, we need to rearrange the equation in slope-intercept form (y = mx + b), where m represents the slope and b represents the y-intercept.

Starting with the given equation:

4x + y = 0

Subtracting 4x from both sides:

y = -4x

Now we have the equation in the form y = mx + b, where m = -4 (the coefficient of x) and b = 0.

Looking at the given graphs:

Graph A: The line goes through (0, 0) and (1, 4). This graph does not represent the equation y = -4x, as the slope is 4, not -4.

Graph B: The line goes through (0, 0) and (1, -4). This graph does represent the equation y = -4x, as it has a slope of -4 and passes through the origin.

Graph C: The line goes through (0, 0) and (4, -1). This graph does not represent the equation y = -4x, as it does not have the correct slope.

Graph D: The line goes through (0, 0) and (4, 1). This graph does not represent the equation y = -4x, as it does not have the correct slope.

Therefore, the best graph that represents the linear equation 4x + y = 0 is:

b. Graph B

Find the functional values of r(0), r(3) and r(-3) for the rational function.

Answers

Answer:

Step-by-step explanation:

Given function is,

[tex]r(x)=\frac{3x^3-7}{x^2-6x+9}[/tex]

For x = 0, substitute the value of x in the given function.

[tex]r(0)=\frac{3(0)^3-7}{(0)^2-6(0)+9}[/tex]

[tex]r(0)=\frac{-7}{9}[/tex]

For r = 3,

[tex]r(3)=\frac{3(3)^3-7}{(3)^2-6(3)+9}[/tex]

[tex]r(3)=\frac{81-7}{9-18+9}[/tex]

      [tex]=\frac{74}{(9-18+9)}[/tex]

      [tex]=\frac{74}{0}[/tex]

Function is undefined at x = 3.

For x = -3,

[tex]r(-3)=\frac{3(-3)^3-7}{(-3)^2-6(-3)+9}[/tex]

         [tex]=\frac{-81-7}{9+18+9}[/tex]

         [tex]=\frac{-88}{36}[/tex]

         [tex]=-\frac{22}{9}[/tex]      

Can someone help me?​

Answers

Answer:

x = 80

Step-by-step explanation:

3x/2=120°

3x=240°

x=80°

Answered by GAUTHMATH

Help me please with this maths question thank you

Answers

Answer:

Step-by-step explanation:

A)

The opposite sides of a rectangle are equal. The width make this obvious because both of them are x.

B)

The lengths are not so obvious, but it is never the less true. The two sides are obvious and they are therefore true.

4x + 1 = 2x + 12                   Subtract 1 from both sides.

   - 1              -1

4x = 2x + 11                         Subtract 2x from both sides

-2x   -2x

2x  =  11                               Divide by 2

x = 11/2

x = 5.5

C)

P = L + L + w + w

P = 4(5.5) + 1  + 2(5.5) + 12 + 5.5 + 5.5

P = 22 + 1 + 11 + 12 + 11

P = 23 + 23 + 11

P = 57

hlw guys plz help me which set is this.for examples: A u B , A u B u C...like that..plz help me​

Answers

Answer:

answer is;

AnBnC ( common place for all)

HAVE A NİCE DAY

change the standard form equation into slope intercept form 13x-7y=23.

Answers

The slope is :


11-555
66-78

A given population proportion is .25. What is the probability of getting each of the following sample proportions

Answers

This question is incomplete, the complete question is;

A given population proportion is .25. What is the probability of getting each of the following sample proportions

a) n = 110 and = p^ ≤ 0.21, prob = ?

b) n = 33 and p^ > 0.24, prob = ?

Round all z values to 2 decimal places. Round all intermediate calculation and answers to 4 decimal places.)

Answer:

a) the probability of getting the sample proportion is 0.1660

b) the probability of getting the sample proportion is 0.5517

Step-by-step explanation:

Given the data in the questions

a)

population proportion = 0.25

q = 1 - p = 1 - 0.25 = 0.75

sample size n = 110

mean = μ = 0.25

S.D = √( p( 1 - p) / n ) = √(0.25( 1 - 0.25) / 110 ) √( 0.1875 / 110 ) = 0.0413

Now, P( p^ ≤ 0.21 )

= P[ (( p^ - μ ) /S.D) < (( 0.21 - μ ) / S.D)

= P[ Z < ( 0.21 - 0.25 ) / 0.0413)

= P[ Z < -0.04 / 0.0413]

= P[ Z < -0.97 ]

from z-score table

P( X ≤ 0.21 ) = 0.1660

Therefore, the probability of getting the sample proportion is 0.1660

b)

population proportion = 0.25

q = 1 - p = 1 - 0.25 = 0.75

sample size n = 33

mean = μ = 0.25

S.D = √( p( 1 - p) / n ) = √(0.25( 1 - 0.25) / 33 ) = √( 0.1875 / 33 ) = 0.0754

Now, P( p^ > 0.24 )  

= P[ (( p^ - μ ) /S.D) > (( 0.24 - μ ) / S.D)

= P[ Z > ( 0.24 - 0.25 ) / 0.0754 )

= P[ Z > -0.01 / 0.0754  ]

= P[ Z > -0.13 ]

= 1 - P[ Z < -0.13 ]

from z-score table

{P[ Z < -0.13 ] = 0.4483}

1 - 0.4483

P( p^ > 0.24 )  = 0.5517

Therefore, the probability of getting the sample proportion is 0.5517

I need help on this question someone please help

Answers

Answer:

x > -2

Step-by-step explanation:

the graph stops at x = -2 and doesn't move further down

solve for x. 4^(×-1)=1

Answers

Answer:

[tex]4^{\left(x-1\right)}=1[/tex]

[tex]\Rightarrow\left(x-1\right)\ln \left(4\right)=\ln \left(1\right)[/tex]

[tex]\hookrightarrow x=1[/tex]

❅❅❅❅❅❅❅❅❅❅

OAmalOHopeO

❅❅❅❅❅❅❅❅❅❅

Find the derivative of 4x^3-7x+8 ÷ x​

Answers

Step-by-step explanation:

If a fraction [tex]f(x)[/tex] is defined as

[tex]f(x) = \dfrac{g(x)}{h(x)}[/tex]

then the derivative [tex]f'(x)[/tex] is given by

[tex]f'(x) = \dfrac{g'(x)h(x) - g(x)h'(x)}{h^2(x)}[/tex]

So the derivative can be calculated as follows:

[tex]f'(x) = \dfrac{d}{dx}\left(\dfrac{4x^3 - 7x + 8}{x} \right)[/tex]

[tex]=\dfrac{(12x^2 - 7)x - (4x^3 - 7x + 8)}{x^2}[/tex]

[tex]= \dfrac{12x^3 - 7x - 4x^3 + 7x - 8}{x^2}[/tex]

[tex]= \dfrac{8x^3 - 8}{x^2}[/tex]

can someone tell me if why these triangles are similar

Answers

Answer:

Step-by-step explanation:

If the triangles given in the picture are similar,

ΔVUT ~ ΔVLM

By the property of similarity of two triangles, their corresponding sides will be proportional.

[tex]\frac{TV}{VM}= \frac{VL}{VU}[/tex]

[tex]\frac{49}{14}=\frac{28}{8}[/tex]

[tex]\frac{7}{2}=\frac{7}{2}[/tex]

True.

Therefore, ΔVUT and ΔVLM will be similar.

Which is the graph of the function y = 2(4)^x

Answers

Answer:

the second graph is correct

Step-by-step explanation:


ABCD is a square of side 12 cm. It is formed from two rectangles AEGD and
EBCG. H is a point on AD and F is a point on BC.
Find the area of EFGH.

Answers

Answer:72 [tex]cm^{2}[/tex]

Solution 1:

Step 1: Find EF use Pythagorean theorem

[tex]EF^{2} = EB^{2} + BF^{2}[/tex]

[tex]EF^{2} = 6^{2} + 6^{2}[/tex]

EF = [tex]\sqrt{6^{2} + 6^{2} }[/tex] = 6[tex]\sqrt{2}[/tex] cm

Step 2: The area of EFGH = [tex]EF^{2}[/tex]= [tex](6\sqrt{2} )^{2}[/tex] = 72

Solution 2: See that the area of EFGH is equal [tex]\frac{1}{2}[/tex] the area of ABCD

The area of ABCD = 12x12 = 144

Thus, the area of EFGH = 144: 2 = 72:)

Have a nice day!

Are the arcs below congruent?
B
120°
G
1139
не
0
0
4
A. No, because the arcs do not have the same measure.
B. There is not enough information to determine.
C. Yes, because the central angles are the same.
D. Yes, because they are both minor arcs.
By

Answers

Answer:

A. No, because the arcs do not have the same measure.

Step-by-step explanation:

Two arcs can be said to be congruent when the length measure of the two arcs are the same and not necessarily the degree measure. This implies that two arcs can have the same degree measure measure but their length may not be the same.

If two arcs have the same measure in one circle, therefore we can say they are congruent or if they have the same measure in congruent circles respectively, they are congruent.

In the two circles given above, although we are not told if both circles are congruent, however, since both arcs have different degree measure, both arcs cannot be congruent.

Polinômio (2x+6y)(4x-2y)

Answers

Answer:

I'm pretty sure it's 8x^2+20xy-12y^2

Answer:

pff don't know .  sssory

Step-by-step explanation:

There are 1,200 people at the beach. If 88% of them went in the water, how many people DID NOT go in the water?

Answers

Answer:

144 people

Step-by-step explanation:

88% = 0.88

We multiply the total number with 0.88 to see how many people went in the water:

1200(0.88) = 1056

To find the number of those who did NOT go in the water, we subtract the product from the total number:

1200 - 1056 = 144

Answer:

144 people DID NOT go in the water

Step-by-step explanation:

We know that there at 1,200 ppl at the beach and 88% of them DID go into the water.

So the percent of people that DID NOT go into the water is 12%, because

100% - 88% = 12%

12% is the same as 0.12

Multiply 0.12 and 1,200 and you get: 144

Hope it helps (●'◡'●)

A game increased in price by 1/2 After the increase it was priced at £72. What was the original
price of the game?

Answers

Answer:

£48

Step-by-step explanation:

£72 / 3 = £24

£24 x 2 = £48

Hope this helps c:

What’s the answer for this

Answers

Answer:

3, 6, 11, 18, 27

Step-by-step explanation:

hope it helps

someone please help!!<3



Question 4 of 10
If f(x) = 5x – 2 and g(x) = 2x + 1, find (f - g)(x).
A. 3 - 3x
B. 7x-3
O C. 7x-1
D. 3x - 3

Answers

Answer:

the answer is c

Step-by-step explanation:

the answer is c

What is the value of a if the point ( a, -1) is on the line 4x -3y = 15?

Answers

Answer:

a = 3

Step-by-step explanation:

(a, -1) is (x, y)

Plug in the value of y into the given equation to solve for a (x):

4x - 3(-1) = 15

4x + 3 = 15

4x = 12

x = 3

(x, y) is (a, -1) so (a, -1) = (3, -1)

Answer: a=3

Step-by-step explanation:

We are given a point and an equation. To see what "a" is, we can plug in the coordinate into the equation and solve for x.

4a-3(-1)=15       [multiply]

4a+3=15           [subtract both sides by 3]

4a=12               [divide both sides by 4]

a=3

Now, we know that a=3.

Please give me a 100% correct answer

A ship sailed 30 kilometers in 172 hours. What was its rate in kilometers per hour?
(1) 20
(2) 30
(3) 45
(4) 90
(5) Not enough information is given.​

Answers

Answer:

See edit

A 20 km / hour

Step-by-step explanation:

The exact answer is 30 km / 172 which is less than 1 km / hr. Since that answer isn't offered, I suspect there is something wrong with the question. If there is a decimal after the 1 in 172 you would get 17.44 km / hr. That's roughly A.

If the decimal is not there, I think you should either resubmit the question or answer A.

Edit

The note said (below) that the ship went 30 km in 1 1/2 hours.

Rate = distance / time

distance = 30 km

time = 1 1/2 hours = 1.5 hours

rate = 30 / 1.5 = 20 km / hr

The answer is (1) because it’s close to 17.3 so is gonna be 20 - (1) 20

A committee raised 7/9 of their target goal last year and another 1/9 of the goal this year. What fraction of their goal has been raised

Answers

Answer:

8/9

Step-by-step explanation:

Find what fraction of their goal they have raised by adding the amounts from last year and this year together:

7/9 + 1/9

= 8/9

So, they have raised 8/9 of their goal

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