The times for running a 5K for a local charity event are Normally distributed with a mean time of 28 minutes and
standard deviation of 5.4 minutes. Which time represents the 60th percentile?
Find the z-table here.

A. 19.6 minutes
B. 26.6 minutes
C. 29.4 minutes
D. 36.4 minutes

Answers

Answer 1

Answer:

29.4 minutes represents the 60th percentile

Step-by-step explanation:

Given :  The times for running a 5K for a local charity event are Normally distributed, with a mean time of 28 minutes and standard deviation of 5.4 minutes.

To Find : Which time represents the 60th percentile?

 19.6 minutes

26.6 minutes

29.4 minutes

36.4 minutes

Solution:

time represents the 60th percentile

Means  60 % data = 0.6 below this

from z table ,  z score for this =  0.253

z score  = ( Value - Mean ) / SD

=> 0.253  = ( Value - 28 ) /5.4

=> 1.3662  =  Value - 28

=>  Value = 29.3662

=>  Value = 29.4

29.4 minutes represents the 60th percentile

The Times For Running A 5K For A Local Charity Event Are Normally Distributed With A Mean Time Of 28
The Times For Running A 5K For A Local Charity Event Are Normally Distributed With A Mean Time Of 28

Related Questions

If a triangle has a base of 6 feet and a height of 5 feet, what is the area?

Answers

Answer:

15 square feet

Step-by-step explanation:

a = (1/2)bh

a = (1/2) * 6 * 5

a = 3 * 5

a = 15

15 square feet

100-3x6+5-4= 63? help me its GEMDAS

Answers

Answer:

it's 86

Step-by-step explanation:

100-3x6+5-4

100-15+5-4

85+5-4

90-4

86

(Pythagorean theorem) find the missing side length. Round to the nearest hundredth (show steps)

Answers

Answer:

The missing length is 10.44

Step-by-step explanation:

a^2 + b^2 = c^2

3^2 + 10^2 = c^2

9 + 100 = c^2

109 = c^2

√c^2 = √109

c = √109

c ≈ 10.440307

c ≈ 10.44

Answer:

10.44

Step-by-step explanation:

Pythagorean theorem equation is a²+b²=c²

3²+10²=c²

9+100=c²........simplify

109=c².............add

√109=c

10.44031

10.44................round to the nearest hundredth

0.125 ultiply by 1000

Answers

Answer:

125 is answer .........:)

I need help pls I'll give brainliest!!!!!!!!!!!!!!!!!!!!!!

Answers

Answer:

[tex]\sqrt{32}[/tex]

Step-by-step explanation:

4^2+ 4^2=c

16+16=32

[tex]\sqrt{32}[/tex]

=5.65685424949

can someone please help me!! this assignment is due at 11:59 I need this done

Answers

Answer:

Step-by-step explanation:

Tan (theta) = opposite / adjacent

theta = 60 degrees

opposite = 15

adjacent = opposite / Tan(theta)

adjacent = 15 / tan(60)

tan(60) = sqrt(3)

sqrt(3) =  1.732

adjacent = 15 /1.732

answer: adjacent = 8.6603

What is the area of this tile?

Answers

Answer:

Area: 9 in.²

Step-by-step explanation:

Area of square: side²

=> Area of Square tile: 3²

=> 9 in.²

Hoped this helped.

Answer:

9

Step-by-step explanation:

To find the area of a square, multiply both sides.

3*3=9

2x-4>-14 or 2x-4\leq10

Answers

Answer:

x>0

Step-by-step explanation:

2x−4>−142x−4

Multiplica −14 y 2 para obtener −28.

2x−4>−28x−4

Agrega 28x a ambos lados.

2x−4+28x>−4

Combina 2x y 28x para obtener 30x.

30x−4>−4

Agrega 4 a ambos lados.

30x>−4+4

Suma −4 y 4 para obtener 0.

30x>0

El producto de dos números es >0 si ambos son >0 o <0. Puesto que 30>0, x debe ser >0.

x>0


Which postulate or theorem proves that these two triangles are
congruent?
O ASA Congruence Postulate
O AAS Congruence Theorem
O HL Congruence Theorem
O SAS Congruence Postulateo

Answers

Answer: O AAS Congruence Theorem is your answer

Step-by-step explanation:   plz give brainliest

plz help me fast Simplify t12/t6

Answers

Answer:

t^6

Step-by-step explanation:

when dividing exponents, you subtract (refer to exponent rule)

t^12 - t^6 = t^6

Jake sold 39 tickets to the school fair and jeanna sold 12 tickets. What is the ratio in simplest form of the number of tickets jeanna sold to the number of tickets jake sold?

Answers

Step-by-step explanation:

12 to 39 divide each by 3

4 to 13 is the simpliest ratio

how to solve this.im stuck in this question for 20 mins. Plzz answer

Answers

Answer:

Find the minimum or maximum value of the function g (I) = -3x^2 - 6x + 5. Describe the domain and range of the function, and where the function is increasing and decreasing. > -1 all real numbers The function The maximum value is I < 0 The domain is and the range is right of I left -1 is increasing to the of I= and decreasing to the 0 12 :: yo y0 :: 8 :: IS-1 :: -1 :: 0 :: I> 0 :: 1 :: 8 :: < 0 :: left :: all real numbers :: y -8 :: y < 8 :: y8​

Step-by-step explanation:

I need help this goes towards my grade so please be correct

Answers

Answer:

0 us the answer for this question

Find the perimeter. Simplify your answer.

Answers

Answer:

4

Step-by-step explanation:

yeah-ya........ right?

The perimeter of the triangle is 2(12c - 7).

What is a triangle?

A triangle is a three-sided polygon with three edges and three vertices. the sum of angles in a triangle is 180 degrees. The perimeter of a triangle is the sum of the side lengths.

What is the perimeter of the triangle?

Perimeter = 7c - 5 + 7c - 5 + 10c - 4

24c - 14

2(12c - 7)

To learn more about a triangle, please check: https://brainly.com/question/9329354

spilled $40 into the ratio of 3:7

Answers

Answer:

$12/$28

Step-by-step explanation:

Let x and y represent the two amounts of money adding up to $40.

Assume that x is the smaller amount.  Then:

 x        3

----- = -----    Remembering that x + y = $40, we get x = $40 - y

 y        7

amd sp we have

 $40 - y          3

-------------- = ------   which, after cross-multiplication, is $280 - $7y = 3y

       y             7

Simplifying this, we get $280 = 10 y, so that y must be $28.  If y = $28, x must be $40 - $28, or $12.

                                                                             $12

Then $40, split in the ratio 3/7, is the ratio ----------------

                                                                            $28

Check:  Note that $12 + $28 = $40, as required, and that $12/$28 = 3/7.

if "-3(y-10=9" what is the value of y-12

Answers

Answer:

the correct answer is -5 since y=7

18917-8- 1819-7 18918

In the partial sequence …, 987, N, 2584, 4181, …, each new term is the sum of the two previous terms. Find the whole number value of N.

Answers

Answer: 2584

Step-by-step explanation:

We can find N with 2584 and 4181.

4181 - 2584

= 1597

We can also check our answer by adding 1597 and 987

1597 + 987

= 2584

A sequence can be arithmetic, geometric or neither.

The value of N is 1597

The partial sequence is given as:

.... 987, N, 2584, 4181......

From the question, the current term is the sum of two previous terms.

This means that:

[tex]\mathbf{987 + N = 2584}[/tex] and

[tex]\mathbf{N + 2584 = 4181}[/tex]

Make N the subject in both equations

[tex]\mathbf{N = 2584 - 987}[/tex]

and

[tex]\mathbf{N = 4181 - 2584 }[/tex]

So, we have:

[tex]\mathbf{N = 1597}[/tex]

and

[tex]\mathbf{N = 1597}[/tex]

Hence, the value of N is 1597

Read more about partial sequence at:

https://brainly.com/question/12914852

€1 = £0.85. Change €345 into £.

Answers

Answer:

£293.25

Step-by-step explanation:

If 1 euro is worth 0.85 pounds, the total of 345 euros is 0.85 times the value of a single euro. This is therefore 0.85 * 345, or £293.25.

Help would be much appreciated! :)​

Answers

Answer:

[tex]\displaystyle \frac{x^4 + 10x^3 + 25x^2 + 3x - 24}{x^2 + 5x - 4} = x^2 + 5x - 4 + \frac{3x - 8}{x^2 + 5x - 4}[/tex]

General Formulas and Concepts:

Algebra I

Terms/Coefficients

Expanding

Algebra II

Polynomial Division

Long DivisionSynthetic Division

Step-by-step explanation:

Step 1: Define

Identify.

[tex]\displaystyle \frac{x^4 + 10x^3 + 25x^2 + 3x - 24}{x^2 + 5x - 4}[/tex]

Step 2: Long Division

See attachment.

Multiply quotient a and divisor, then subtract from dividend:                      [tex]\displaystyle x^2(x^2 + 5x - 4) = x^4 + 5x^3 - 4x^2 \leftarrow \text{red 1}[/tex]Multiply quotient b and divisor, then subtract from new dividend:              [tex]\displaystyle 5x(x^2 + 5x - 4) = 5x^3 + 25x^2 - 20x \leftarrow \text{red 2}[/tex]Multiply quotient c and divisor, then subtract from new dividend:              [tex]\displaystyle 4(x^2 + 5x - 4) = 4x^2 + 20x - 16 \leftarrow \text{red 3}[/tex]Write remainder:                                                                                               [tex]\displaystyle \frac{r(x)}{b(x)} = \frac{3x - 8}{x^2 + 5x - 4}[/tex]

Please excuse the bad handwriting.

Given the complementary angle of y is 43º. Find the supplementary angle of y​

Answers

Step-by-step explanation:

complementary = adds up to 90 degrees.

supplementary = adds up to 180 degrees.

the complementary angle of y is 43 degrees.

so, y = 90 - 43 = 47 degrees.

the supplementary angle of y = 47 is

180 - 47 = 133 degrees

Hello!

Given the complementary angle of y is 43º.

90 - 43 => 47°

Find the supplementary angle of y​

180-43 => 137°

ne ajudemmmm pfvvv ...​

Answers

Answer:

NEED TRANSLATOR

Step-by-step explanation:

ENGLISH PLEASE

I’m working on 3 and 4 only maybe if I can have some explanation so I can understand and do more of these next week.

Answers

4.b.

Answer:  See below.

Step-by-step explanation:

For the equation f(x) = 2x

3.a.  f(6) means use x = 6 in the equation f(x) = 2x

so f(6) would be f(6)= 2(6)

f(6) = 12

3.b.  f(-11) = 2(-11)

f(-11) = -22

3.c.  f(2.75) = 2(2.75)

f(2.75) = 5.5

3.d.  This is turned around.  We are told f(x)=20, so what would x need to be for f(x) to be 20?  Since f(x) = 2x, we can say 20 = 2x.  Therefore x = 10

f(10) = 20

The rest of (3) are solved in the same fasion.h

For the equation  f(x)= 5x+50

4.a.  f(7) = 5(7)+50

f(7) = 85

4.b. f(-12)

  f(-12) = 5*(-12)+50

f(-12) = -60

Continue in the same fashion for these types of problems.

Somebody please help

Answers

Answer:

c/  y=20x

Step-by-step explanation:

I NEED HELP WITH MATH QUESTION PLEASE HELP ME NO LINKS !!!

Answers

Answer:

21.8

Step-by-step explanation:

1.9 + 9 = 10.9

10.9 x 2 = 21.8

Answer:

21.8

Step-by-step explanation:

2×1.9=3.8

2×9=18

total=21.8

How many rows would be returned from a cross join of tables A and B, if A contains 8 rows and B contains 18

Answers

The number of rows that would be returned from the cross join of tables A and B is 144 rows.

The cross join of table A and table B is the cartesian product of A and B.

Since table A = 8 rows and table B = 18 rows, the cartesian product of the rows is 8 × 18 = 144 rows.

So, the number of rows that would be returned from the cross join of tables A and B is 144 rows.

Learn more about cross join here:

https://brainly.com/question/24263570

Determine the following probabilities. Enter your final answers as reduced fractions. Two coins are flipped. Find the probability that the first coin land on heads and the second coin lands on heads. Two cards are drawn from a deck of 52 cards. The first card is replaced before drawing the second card. Find the probability that the first card is black and the second card is a 8. A single digit between 0 and 9 is randomly chosen, and a single letter from A to Z is randomly chosen. Find the probability that the number is 4 and the letter is a consonant. Two dice are rolled. Find the probability that first die lands on an even number and the second die is less than 2.

Answers

The probability of an event occurring is given by the ratio of the number of

possible outcome to the number of required outcome.

First question: The probability that the first coin lands on heads and the second coin lands on tails is 0.25.Second question: The probability of drawing a black card and then a 8 is [tex]\underline{\dfrac{1}{13}}[/tex].

Third question: The probability that the number chosen is 4 and the letter chosen is a consonant, is [tex]\underline{\dfrac{21}{234}}[/tex].

Fourth question: The probability that the first die lands on an even number and the second die is less than 2, is [tex]\underline{\dfrac{1}{12}}[/tex].

Reasons:

First question:

The number of faces in a coin = 2; A head or a tail

The probability that the first coin lands on heads, P(H) = [tex]\dfrac{1}{2}[/tex]

The probability that the second coin lands on tails, P(T) = [tex]\dfrac{1}{2}[/tex]

The probability that the first coin lands on heads and the second coin lands

on tails = P(H ∩ T)

Which gives;

[tex]P(H \cap T) = \dfrac{1}{2} \times \dfrac{1}{2} = \dfrac{1}{4}[/tex]

The probability that the first coin lands on heads and the second coin lands on tails = [tex]\dfrac{1}{4}[/tex] = 0.25

Second question:

The number of black cards in a pack of 52 = 26 cards

The number of cards that are a 8 in a pack of 52 cards = 8 cards

[tex]\mathrm{The \ probability \ of \ drawing \ a \ black \ card}, \ P(B) = \dfrac{26}{52} = \dfrac{1}{2}[/tex]

[tex]\mathrm{The \ probability \ of \ drawing \ a \ 8,} \ P(8) = \dfrac{8}{52} = \dfrac{2}{13}[/tex]

The probability of drawing a black card and then an 8, P(B∩8), is given as follows;

[tex]P(B \cap 8) = \dfrac{1}{2} \times \dfrac{2}{13} = \dfrac{1}{13}[/tex]

The probability of drawing a black card and then a 8 is P(B∩8) = [tex]\underline{\dfrac{1}{13}}[/tex]

Third question:

The probability that a number chosen between 0 and 9 is 4, P(4) = [tex]\dfrac{1}{9}[/tex]

The number of consonant in the alphabet = 21

The probability that a letter chosen from A to Z is a consonant, P(C) = [tex]\dfrac{21}{26}[/tex]

The probability that the number chosen is 4 and the letter chosen is a consonant, P(4 ∩ C)  = [tex]\dfrac{1}{9} \times \dfrac{21}{26} = \underline{ \dfrac{21}{234}}[/tex]

Fourth question:

The number of even numbers on a die = 3; (2, 4, 6)

The number of numbers less than 2 on a die = 1

The probability that the first die lands on an even number, P(E) = [tex]\dfrac{3}{6}[/tex]

The probability that the second die is less than 2. P(<2) = [tex]\dfrac{1}{6}[/tex]

Therefore;

The probability that the first die lands on an even number and the second die is less than 2, P(E ∩ <2) = [tex]\dfrac{3}{6} \times \dfrac{1}{6} = \dfrac{3}{36} = \underline{\dfrac{1}{12}}[/tex]

Learn more here:

https://brainly.com/question/19916581

1\4-2\7 plese show your work

Answers

Answer:

-1/28

Step-by-step explanation:

You need to convert 2/7  and 1/4 into the same denominator. The GCD is 28. 2/7=8/28 and 1/4=7/28. 7/28-8/28=-1/28

Answer:

-1/28

Step-by-step explanation:

You have to find the least common multiple for 7 and 4, the denominators, to add the fractions. The LCM of 7 and 4 would be 28. You would have to multiply 7 by 4 and 4 by 7, meaning you have to multiply the numerators by the same number. 1x7/4x7-2x4/7x4= -1/28.

Mindy can a drive a total of 375 miles on a full tank of gas, which is 25 gallons. Based on this information, what is the constant of proportionality?

25

15

375

10

Answers

Answer:

15

Step-by-step explanation:

[tex]\frac{25}{375} = \frac{1}{x}[/tex]

Cross multiply to get 25x = 375

Divide each side by 25 to get x = 15

4d=12 solve for the variable

Answers

Answer; d=3
Let me know if you need an explanation!

Find the slope of the line graphed below.​ 21 points!

Answers

The answer is 3/2
3 units up and 2 units to the left that is the slope

Answer:

The answer is 1.5

Step-by-step explanation

First you want to find the rise. This is the amount of height between the two points (Y) and divide them over the run. This is amount of distance (X) between the points. This will be 6/4. Divide this and you have your answer!

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