The times for completing one circuit of a bicycle course are normally distributed with
a mean of 72.5 minutes and a standard deviation of 6.5 minutes. An association
wants to sponsor a race but will eliminate the bottom 75% of riders. In a trial run,
what should be the cutoff time?

Answers

Answer 1

Answer:

The answer is 76.9 rounded or rounds.

Step-by-step explanation:

Solution

Given that:

Mean = μ = 72.5

Standard deviation = σ = 6.5

Now

By applying the standard normal table we have the following:

P(Z < z) = 75%

= P(Z < z)

= 0.75

Thus

z =0.67 by using the standard normal z table

Applying the  z-score formula we have:

x = z * σ + μ

x = 0.67*6.5+72.5

x= 76.855 ≈ 76.9

Therefore the cutoff time is 76.9 rounds.


Related Questions

Help me pllzzzzzzz help help

Answers

Answer:

0.75

Step-by-step explanation:

Out of the 8 tiles, 6 of them are not a blue A so the chance of not drawing a blue A is 6/8 = 0.75.

Answer: 3/4

Step-by-step explanation:

There are 8 choices, 2 of which are blue A's.  Thus, 6 out of the eight options are NOT blue A's.  Therefore, you have a 6/8, or 3/4 chance of not drawing a blue A.

Hope it helps <3

(-2,-11);slope=4 write the equation of the line

Answers

Answer:  y = 4x-3

slope = 4, y intercept = -3

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

m = 4 is the slope

[tex](x_1,y_1) = (-2,-11)[/tex] is the point the line goes through

Using point slope form, we can say,

[tex]y - y_1 = m(x - x_1)\\\\y - (-11) = 4(x - (-2))\\\\y + 11 = 4(x + 2)\\\\y + 11 = 4x + 8\\\\y + 11-11 = 4x + 8-11\\\\y = 4x - 3\\\\[/tex]

The equation is in slope intercept form y = mx+b

m = 4 = slope

b = -3 = y intercept

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

As an alternative, you can use y = mx+b to get the same answer. We'll plug in m = 4 and (x,y) = (-2,-11) to solve for b

y = mx+b

-11 = 4(-2)+b

-11 = -8+b

-11+8 = -8+b+8

-3 = b

b = -3 we get the same y intercept value as above

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

To check the answer, plug x = -2 into the equation. We should get y = -11

y = 4x-3

y = 4(-2)-3

y = -8-3

y = -11 we get the proper y value. The answer is confirmed.

Answer:

y = 4x-3

Step-by-step explanation:

The slope intercept form of a line is

y = mx+b

The slope is 4

y = 4x+b

Substitute the point into the equation

-11 = 4(-2)+b

-11 = -8+b

Add 8 to each side

-11+8 = b

-3 = b

y = 4x-3

The graph of f(x) shown below resembles the graph of g(x)=x^3, but it has been vertically stretched. Which of the following could be the equation of f(x)?

Answers

Answer: it’s b

Step-by-step explanation:

Consider the line - 8x-5y = -7.
What is the slope of a line perpendicular to this line?
What is the slope of a line parallel to this line?

Answers

Answer:

See below

Step-by-step explanation:

First, you need to find the slope of the given line.  You can do this by rearranging the equation so that it is  in slope-intercept form (y = mx + b).

-8x - 5y = -7

-5y = 8x - 7

y = -8/5x + 7/5

The slope of this line is -8/5.  

The slope of a line that is perpendicular will be the negative reciprocal.  You have to change the sign, and basically flip the numerator upside down.  The slope of the perpendicular line will be 5/8

-8/5 = 8/5 = 5/8

The slope of a line that is parallel will be equal.  This means that the slope will be -8/5.

Find the value of x and simplify completely. Just answer needed , not explanation

Answers

Answer:

x=(27)^2+y^2

 =√729+y^2( root of 729+y^2)

 = 27+√y^2

Answer:

x=910

solution,

[tex] {y}^{2} = 3 \times 27 \\ {y}^{2} = 81 \\ y = \sqrt{81} \\ y = \sqrt{ {9}^{2} } \\ y = 9 \\ \\ {y}^{2} + {27}^{2} = {x}^{2} \\ or \: {9}^{2} + {27}^{2} = {x}^{2} \\ or \: 81 + 729 = {x}^{2} \\ or \: 810 = {x}^{2} \\ or \: x = \sqrt{810} \\x = 9 \sqrt{10} [/tex]

hope this helps...

Good luck on your assignment..

What is the slope of the line that contains the point (-2, 7) and (2, 3)? A. -1 B. -4 C. 1 D. 4

Answers

Answer:

A. -1

Step-by-step explanation:

Slope = (y2 - y1) / (X2 - X1)

= (3 - 7) / (2 +2)

= - 4/ 4

= - 1

Hope this helps.. Good Luck!

Answer:

The slope is -1.

Step-by-step explanation:

Plug it into the formula.

which solution can be used to fill in both blanks in the table

Answers

Answer:

(5, 2)

Step-by-step explanation:

As 8x = 40

x = 40÷8

x = 5

This is the first solution

Then 4x + 4y = 28

We know that x = 5 as above

So let's substitute it:

4x + 4y = 28

(4 × 5) + 4y = 28

20 + 4y = 28

Let's get the 20 to other side

20 - 20 + 4y = 28 - 20

4y = 8

y = 8 ÷ 4

y = 2

Hence we get these two solutions

(5,2)

:-)

Q1: Which pairs of expressions are equivalent (Choose all that apply.) *
14 - 9 and 14 + (-9)
18-6 and -18 + 6
-7-22 and 22-(-7)
3-30 and 3 + (-30)
10 - 5 and 5 - 10

Answers

Answer:

#'s 1 and 4

Step-by-step explanation:

1.) 14-9=5 and 14+(-9)=5

2.) 18-6=12 and -18+6=-12

3.) -7-22=-29 and 22-(-7)=29

4.) 3-30=-27 and  3+(-30)=-27

5.) 10-5=5 and 5-10=-5

I think the answer would be 1 and 4

The table shows the distances and times between stops on a trolley line. Between which two stops did the trolley go
the slowest?
Stops
From Stop A to Stop B
From Stop B to Stop C
From Stop C to Stop D
From Stop D to Stop E
Data for a Trolley
Distance
150 meters
200 meters
360 meters
280 meters
Time
50 seconds
50 seconds
60 seconds
40 seconds
Stop A and Stop B
Stop B and Stop C
Stop C and Stop D
Stop D and Stop E

Answers

Answer:

Stop A and Stop B

Step-by-step explanation:

Data for a Trolley

Stops                                  Distance           Time

From Stop A to Stop B      150 meters       50 seconds

From Stop B to Stop C      200 meters      50 seconds

From Stop C to Stop D      360 meters      60 seconds

From Stop D to Stop E      280 meters      40 seconds

From definition: speed = distance/time

Speed From Stop A to Stop B : 150/50 = 3 m/sSpeed From Stop B to Stop C : 200/50 = 4 m/sSpeed From Stop C to Stop D : 360/60 = 6 m/sSpeed From Stop D to Stop E : 280/40 = 7 m/s

Given O O below, the arcs GĦ and JK must be congruent.
G
#
A. True
70"
B. False
125
K
SUBM

Answers

Answer:

False.

Step-by-step explanation:

Just look at them. They aren't even similar.

A circle is a curve sketched out by a point moving in a plane. The given statement "Given circle O below, the arcs GH and JK must be congruent." is false.

What is a circle?

A circle is a curve sketched out by a point moving in a plane so that its distance from a given point is constant; alternatively, it is the shape formed by all points in a plane that are at a set distance from a given point, the center.

For the given two arcs in the circle, the given statement "Given circle O below, the arcs GH and JK must be congruent." is false. This is because the  measure of the central angle of the both arcs is not equal. Therefore, it can be concluded that the length of the two arcs is not equal.

Hence, the given statement is false.

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Which statement is the most appropriate comparison of the spreads?

Answers

Answer:

D  The IQR for town A is less than the IQR for town B

Step-by-step explanation:

A small IQR indicates that the points are closer together, while a larger IQR means that the points are scattered and that the plot is skewed in a certain direction. As you can see, town A's plot looks fairly balanced, while town B's plot is skewing to the left. Hope this helps :)

30 POINTS!!! Heather is collecting dimes. She saves one dime on the first day, two dimes on second day, and three dimes on third day. If this pattern continues, hom much money will heather have saved at the end of 30 days? Please Explain!

Answers

Answer:

hope dis help ;_;

Step-by-step explanation:

It's easy to see the manual solution: 1(.1) + 2(.1) + 3(.1) +......+ 30(.1).

But nobody wants to do that repetitive computation. If we factor out the (.1),

we see (.1) * (1+2+3+4...+30). Still somewhat repetitive, but not bad for just 30.

We really need a formula for big numbers though. The short cut for adding a series

of numbers is to find the average of the first and last numbers and multiply by how

many there are in the list:

(first + last)(the quantity of numbers) / 2 = (1 + 30)(30) / 2 = 465

465(.1) = $46.50

The money that Heather will save at the end of 30 days will be 465.

What is arithmetic progression?

Arithmetic progression is a sequence of numbers with a common difference. It is given by,

aₙ = a₁ + (n - 1)d

Where,

aₙ  = the nᵗʰ term in the sequence

d = common difference

a₁ = first term

Now,

We have,

Heather saves one dime on the first day, two dimes on the second day, and three dimes on the third day and continues for 30 days.

So,

Money saved on the first day = 1

And,

Money save on 30 day = 30  

So,

Using the sum of Arithmetic progression formula,

Sₙ = n/2 [ a + l ]

where,

n = 30

a = first term = 1

l = last term = 30

Now,

Sₙ = n/2 [ a + l ]

Sₙ = 30/2 [ 1 + 30]

Sₙ =15 × 31

Sₙ = 465

So, money saved at the end of 30 days = 465

Hence we can say that the money that Heather will save at the end of 30 days will be 465.

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Which of the following is the appropriate notation when calculating
conditional probabilities?
P(
AB)
A. P(
AB) =
P(A)
o
B. P(AUB) = P(A) + P(B) - P(AB)
C. P(AB) =
P(
AB)
P(B)
D. P(
AB) = PC
PCB+ P(B) - P(AUD)
SUBMIT
PREVIOUS

Answers

Answer: P(AB) = 3/8

Step-by-step explanation:

You simply multiply P(AuB) by P(B)

3/7 * 7/8 = 3/8

which statement is not always true for a parallelogram PLZ HELP QUICK


A consecutive angles are congruent, B opposite angles are congruent, C diagonals bisect each other, D opposite sides are congruent

Answers

Answer:

I think option a is correct answer because consecutive angles are supplementary.

Answer:

The correct answer is A

Step-by-step explanation:

Last week Fred had 47 dollars. He washed cars over the weekend and
now has 50 dollars. How much money did he make washing cars?

Answers

Answer:

fred made 3 dollars

Step-by-step explanation:

47+3=50

Fred only made 3 dollars in total

PLEASE SOLVE! FIST CORRECT ANSWER GETS BRAINLIEST! Simplify using the distributive property: -0.1·(100a+10b-c)

Answers

Answer:

-10a - b + 0.1c

Step-by-step explanation:

We can distribute the -0.1 to 100a, 10b and -c.

-10a - b + 0.1c

That's all!

Hope this helps

Answer: -10a - b + 0.1c

Step-by-step explanation:

simplify 0.1 * 10b * -c

10a - b - 0.1 * -c

regroup terms.

-10a - b - ( - 0.1 * c )

remove parentheses

-10a - b + 0.1 * c

I need helpppppppppppppo

Answers

Answer:

25%,  -2x + 3

Step-by-step explanation:

8/24 = 1/4 =.25 = .25%

plug in numbers

PLEASE MARK ME BRAINIEST

Two workers finished a job in 12 days. How long would it take each worker to do the job by himself if one of the workers needs 10 more days to finish the job than the other worker?

Answers

Answer:

20 days

Step-by-step explanation:

t = time required by one worker to complete the job alone

(t+8) = time required by the other worker

So:

7.5/ t + 7.5/ (t + 8) = 1

Solve for t.

...

t = 12 days, the first guy working alone

The other worker would finish the job in 20 days.

Answer:

7 days and 17 days

Step-by-step explanation:

We can write an equation to solve this. An equation could be: ½x + ½y = 12. x - y = 10. Variables that solve this equation are x=7 and y=17. 7 + 17 = 24÷2 (since there are 2 workers) =12. Also, ½(7) + ½17 = 3.5 + 8.5 = 12. So, we know that the faster worker will take 7 days and the slower worker will take 17 days.

Hope this helps! Plz give me brainliest, it will help me achieve my next rank.

If a triangle’s original dimensions are 24 cm by 40 cm, which triangle would be an enlargement of the original by a scale factor of 2.2? A triangle with a base of 18.18 centimeters and a height of 10.9 centimeters. A triangle with a base of 42.2 centimeters and a height of 26.2 centimeters. A triangle with a base of 88 centimeters and a height of 52.8 centimeters. A triangle with a base of 200 centimeters and a height of 120 centimeters.

Answers

Answer: C) 52.8 and 88

Step-by-step explanation:

Simply multiply both dimensions(24 and 40) by 2.2 to get 52.8 and 88.  Thus the answer is C.

Hope it helps <3

Answer:

Third Choice 52.8 cm by 88 cm

Step-by-step explanation:

Multiply each dimension by the scale factor.

24 cm * 2.2 = 52.8 cm

40 cm * 2.2 = 88 cm

Answer:

Solve 2(x + 1) = 2x + 5.​

Answers

answer—> no solution

Answer: No real solutions

Step-by-step explanation:

2(x-1) = 2x +5

Step 1: Distribute the 2 to the parenthesees

2x - 2 = 2x + 5

Step 2: Put the variables on one side and the constants on the other. (add/subtract)

0x = 7

Now, because 0 does not equal 7, there are no real solutions to this problem.

Find the distance between the points (–15, 3) and (–9, 8). A) units B) units C) units D) units

Answers

Answer:

√61

Step-by-step explanation:

d=√(x2 - x1)^2 + (y2 - y1)^2

√(-9-(-15))^2 + (8-3)^2

√61

The distance between points P(-15, 3) and Q(-9, 8) is √61 units.

What is algebra?

Algebra is a study of mathematical expressions, in which numbers and quantities are represented in formulas and equations by letters and other universal symbols.

The given points are,

P(-15, 3) and Q(-9, 8).

The distance between two points A(x₁, y₁) and B(x₂, y₂)

Distance

= √(x₂ - x₁)² + (y₂ - y₁)²

To find the distance between points PQ,

Use formula

PQ = √(-9 - (-15))²+(8 - 3)²

= √(-9 + 15) ²+(5)²

= √(6) ²+(5)²

= √36 + 25

= √61

The required distance between given points is √61 units.

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(-3ab - 8a + 8) - (-5ab +2)

Answers

Answer:

2ab - 8a + 6

Step-by-step explanation:

(-3ab - 8a + 8) - (-5ab +2)

(-3ab - 8a + 8) -1(-5ab +2)

Distribute -1 to the brackets.

(-3ab - 8a + 8) + 5ab - 2

Remove the brackets.

-3ab - 8a + 8 + 5ab - 2

Rearrange.

5ab - 3ab - 8a + 8 - 2

Combine like terms.

2ab - 8a + 6

a baker used three fourths lb flour for rolls , five eights for donuts, and two thirds for cookies. How many pounds of flour was used total

Answers

Answer:

2 1/24

Step-by-step explanation:

you first need to convert them to the same least common denominator

the common denominator is 24

so 18/24 plus 15/24 plus 16/24

which is 49/24 which is 2 1/24

hope this helps

From the figure, if y = 400 then find the value of x .

Answers

Answer:

70°

Solution,

y=40°

now,

[tex]2x + y = 180( \: sum \: of \: angle \: in \: straight \: line) \\ or \: 2x + 40 = 180 \\ or \: 2x = 180 - 40 \\ or \: 2x = 140 \\ or \: x = \frac{140}{2} \\ x = 70 \: degree[/tex]

Hope this helps...

Good luck on your assignment...

i think its 70°
y=40
180 (angles in a straight line)
180-40=140
140 / 2
=70

The weights of professional wrestlers are approximately normally distributed with a mean of 220 pounds and a standard deviation of 7 pounds. Using the normalcdf function on your graphing calculator, approximately what percent of wrestlers have weights less than 205 pounds?

Answers

Answer:

1.6%

Step-by-step explanation:

The cumulative distribution function (CDF) of a random variable X is denoted by F(x), and is defined as

F(x) = P(X ≤ x). where x is the largest possible value of X that is less than or equal to x

z = (x-μ)/σ,

where:

x is the raw score = 205

μ is the population mean, = 220 pounds

σ is the population standard deviation = 7 pounds

205 -220/7

z = -15/7

z = -2.1428571429

Using the normal cdf function on your graphing calculator,the cumulative distribution is

normalcdf( -2.1428571429, 100)

= 0.01606229

In percent form = 0.01606229 × 100

= 1.6%

Answer ASAP PLEASE WILL MARK BRAINLIEST

Answers

Answer:

Answer should be A

Step-by-step explanation:

-7/2 divided by 49/4

Change in temperature per hour would be found by dividing the change in temperature by the amount of time.

Rewrite the numbers as improper fractions and the answer would be d.

-49/4 / 7/2

What is the common ratio of the following sequence?
-5, -20, -80,-
0-4
0 1
NI
04
NEYT OLIESTION

Answers

Answer:

4

Step-by-step explanation:

Given

-5, -20, -80, .....

Required

Determine the common ratio

The common ratio of a sequence is determined by dividing a term by its immediate previous term;

Let the term be represented with [tex]T_1, T_2, T_3[/tex] and the common ratio with r

From the analysis above;

[tex]r = \frac{T_2}{T_1}\ or\ r = \frac{T_3}{T_2}[/tex]

Substitute -5 for [tex]T_1[/tex]; -20 for [tex]T_2[/tex]; -80 for [tex]T_3[/tex]

[tex]r = \frac{-20}{-5}\ or\ r = \frac{-80}{-20}[/tex]

[tex]r = 4\ or\ r = 4[/tex]

Both values of r are the same;

Hence, the common ratio of the sequence is 4

1) sqrt x^+6x+9 if x≥3
2) sqrt x^2+6x+9 if −3≤x<3
3) sqrt x^2−6x+9 if x<−3
will give brainliest

Answers

Answer:

Step-by-step explanation:

first one:

[tex]x^{2}+6x+9={(x+3)}^{2} \\\sqrt{{(x+3)}^{2} }=x+3[/tex]

second one:

[tex]x^{2}+6x+9=(x+3)^{2} \\\sqrt{(x+3)^{2} } = x+3[/tex]

third one:

[tex]x^{2} -6x+9=(x-3)^{2} \\\sqrt{(x-3)^{2} } =|x-3| \ \ (because \ x<-3)[/tex]

What is being constructed based on the markings in the following diagram?

-Inscribed regular hexagon
-Inscribed equilateral triangle
-Parallel lines
-Perpendicular lines

Answers

Answer : -perpendicular lines
***HOPE THIS HELP YOU***

Parallel lines are being constructed based on the markings in the following diagram.

What are parallel lines?

When two lines never meet each other even after extending them on the either side are called parallel lines.

What are the steps to draw parallel lines?

1. First we have to draw a straight line and then any point of it draw any angle.

2. After that, on the second line take a point. Copy the first angle on it.

3. Draw the line to complete the copied angle and there you have parallel lines.

Hence, the construction indicated in the diagram is of parallel lines.

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What property do rectangles and parallelograms always share? 4 right angles 4 sides of equal length 2 pairs of parallel sides 2 acute angles (1 answer choice)

Answers

Answer:

A property that rectangles and parallelograms always share is that they both have two pairs of parallel sides.

Step-by-step explanation:

A rectangle is a shape that has two pairs of parallel sides and has 4 right angles.

A parallelogram is a shape that has two pairs of parallel sides and has 2 pairs of congruent sides.

The only thing these shapes have in common is that they both have two pairs of parallel sides.

Answer:

C: 2 pairs of parallel side

Step-by-step explanation:

I got it correct in a quiz I did that had this question.

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