When Natalie runs the 400 meter dash, her finishing times are normally distributed with a mean of 71 seconds and a standard deviation of 2.5 seconds. What percentage of races will her finishing time be between 71 and 77 seconds, to the nearest tenth?

Answers

Answer 1

Answer:

49.2%

Step-by-step explanation:


Related Questions

The table describes the types of job openings available in a company.
What is the probability that experience is needed for a randomly selected job
opening, given that it is for part-time work?
Write the probability as a percent. Round to the nearest tenth if needed.
Part-time
Full-tme
6
2
Experience needed
No experience needed
8
9

Answers

Answer:

stop being lazy and do youre own work lol

Step-by-step explanation:

please help. no links. need answers for all questions :))

Answers

Answer:

1. The surface area of the cube is 324 square units

The volume of the cube 360 unit cube

2. The surface area of the cylinder is approximately 169.65 square units

The volume of the cylinder is approximately 169.65 unit cube

3. The surface area of a square pyramid is 360 square units

The volume of the square pyramid is 400 unit cube

4. The surface area of a cone is approximately 452.39 square units

The volume of the cone is approximately 50.27 unit cube

5. The surface area of the triangular prism is 240 square units

The volume of the triangular prism is 180 unit cube

6. The surface area of the sphere is approximately 804.25 square units

The volume of the sphere is approximately 2.144.66

7. The surface area of the composite figure is approximately 653.46 square units

The volume of the composite figure is approximately 1,474.45 unit cube

Step-by-step explanation:

1. The surface area of the figure, SA = 2 × (w·h + l·w + h·l)

Where;

w = The width of the figure = 6

l = The length of the figure = 12

h = The height of the figure = 5

We get;

SA = 2 × (6 × 5 + 12 × 6 + 5 × 12) = 324

The surface area of the figure, SA = 324

The volume of the figure, V = l × w × h

∴ V = 12 × 6 × 5 = 360

The volume of the figure, V = 360

2. The surface area of a cylinder, SA = 2·π·r² + 2·π·r·h

The radius of the given cylinder, r = 3

The height of the given cylinder, h = 6

∴ SA = 2×π×3² + 2×π×3×6 ≈ 169.65

The surface area of the cylinder, SA ≈ 169.65

The volume of a cylinder, V = π·r²·h

∴ V = π×3²×6 ≈ 169.65

The volume of the cylinder, V ≈ 169.65

3. The surface area of a square pyramid, SA = b² + 4·(1/2)·b·√((b/2)² + h²)

Therefore, for the given square pyramid, we have;

SA = 10² + 4×(1/2)×10×√((10/2)² + 12²) = 360

The surface area of a square pyramid, SA = 360

The volume of a square pyramid, V = (1/3) × Area of Base × Height

Therefore, or the given pyramid we have;

V = (1/3) × 10² × 12 = 400

The volume of the square pyramid, V = 400

4. The surface area of a cone, SA = π·r·(r + l)

Where;

The radius of the cone = r

The slant height of the cone, l = 10

The height of the cone, h = 6

∴ The radius of the cone, r = √(10² - 6²) = 8

∴ SA = π×8×(8 + 10) ≈ 452.39

The surface area of a cone, SA ≈ 452.39

The volume of the cone, V = (1/3) × π·r·h

∴ V = (1/3) × π × 8 × 6 ≈ 50.27

The volume of the cone, V ≈ 50.27

5. The surface area of the triangular prism, SA = 2 × (1/2)× b·h + b·w + h·w + w·l

Where;

b = The base length of the triangular surfaces = 5

h = The height of the triangular surfaces = 12

w = The width of the triangular prism = 6

l = The slant length of the prism = 13

Therefore;

SA = 2 × (1/2)× 5 × 12 + 5 × 6 + 12 × 6 + 6 × 13 = 240

The surface area of the triangular prism, SA = 240

The volume of a triangular prism, V = (1/2)·b·h·w

V = (1/2) × 5 × 12 × 6 = 180

The volume of the triangular prism, V = 180

6. The surface of a sphere, SA = 4·π·r²

Where;

r = The radius of the sphere = 8

∴ SA = 4 × π × 8² ≈ 804.25

The surface area of the sphere, SA ≈ 804.25

The volume of a sphere, V = (4/3)·π·r³

∴ V ≈ (4/3)×π×8³ ≈ 2,144.66

The volume of the given sphere, V ≈ 2.144.66

7. The figure is a composite figure made up of a cone and an hemispher

The surface area of the cone shaped part of the figure, SA = π·r·l

Where;

r = The radius of the cone = 8

l = The slant height of the cone = 10

∴ SA₁ = π × 8 × 10 ≈ 251.34

The surface area of the cone shaped part of the figure, SA₁ ≈ 251.34

The volume of the cone, V₁ = (1/3)·π·r²·h

Where;

h = The height of the cone = √(10² - 8²) = 6

∴ V₁ = (1/3) × π × 8² × 6 ≈ 402.12

The volume of the cone, V₁ ≈ 402.12

The surface area of the hemisphere, SA₂ = 2·π·r²

∴ SA₂ = 2 × π × 8² ≈ 402.12

The surface area of the hemisphere, SA₂ ≈ 402.12

The volume of a hemisphere, V₂ = (2/3)·π·r³

∴ V₂ = (2/3) × π × 8³ ≈ 1072.33

The volume of a hemisphere, V₂ ≈ 1,072.33

The surface area of the composite figure, SA = SA₁ + SA₂

∴ SA = 251.34 + 402.12 = 653.46

The surface area of the composite figure, SA ≈ 653.46

The volume of the composite figure, V = V₁ + V₂

∴ V = 402.12 + 1,072.33 = 1,474.45

The volume of the composite figure, V ≈ 1,474.45.


[tex] \sf \red{Help \: help \: help \: help \: I'm \: desperate - . - }[/tex]

Answers

Step-by-step explanation:

1)

7x+20°+3x=180°{straight angle}

10x=180-20

x=160/10

x=16°

again,

y=7x+20{vertically opposed angle r equal}

7×16+20132°

stay safe healthy and happy.

Answer:

1. x = 20

y = 120

2. x = 263

Step-by-step explanation:

•••

As AOB is a line,

( 7x - 20 ) + 3x = 180

7x - 20 + 3x = 180

10x - 20 = 180

10x = 180 + 20 = 200

10x = 200

x = 200/10 = 20

Then, as COD is a line,

y + 3x = 180

y + 3(20) = 180

y + 60 = 180

y = 180 - 60 = 120

•••

2. Draw a parallel line AB and CD.

Then,

Angle BAE + Angle y = 180 [Co-interior angles]

56 + y = 180

y = 180 - 56 = 124

Angle DCE + Angle z = 180

41 + z = 180

z = 180 - 41

z = 139

Now, z + y = 139 + 124 = 263

[tex][/tex]

properties of parallelograms
PLEASE HELP

Answers

Answer:

m∠Q = 109°

m∠QRT = 109°

x = 4

Step-by-step explanation:

1). "Opposite angles of a parallelogram are equal"

By this property,

m∠Q = m∠S = 109°

2). "Opposite sides of a parallelogram are parallel and equal in measure"

By this property,

RQ║ST and diagonal RT is a transversal line.

m∠QRT = ∠SRT = 30° [Alternate interior angles]

3). "Opposite sides of a parallelogram are parallel and equal in measure"

RS = QT

2x = 8

x = 4

Pls help! I need to show my work!

Answers

Answer:

Step-by-step explanation:

68 frefq4gtrhrsahhrhshrr

Mandy is shopping for plates. She is trying to decide between the three packages below. If Mandy is looking for the best deal for each individual plate, which package should she buy

Answers

Answer:

Package 3

Step-by-step explanation:

Package 1,

No. of plates = 5

Cost = $38.75

Cost of 1 plate = [tex]\dfrac{38.75}{5}=\$7.75[/tex]

Package 2,

No. of plates = 8

Cost = $58

Cost of 1 plate = [tex]\dfrac{58}{8}=\$7.25[/tex]

Package 3,

No. of plates = 14

Cost = $94.5

Cost of 1 plate = [tex]\dfrac{94.5}{14}=\$6.75[/tex]

The cost of 1 plate in package 3 is the least. It means she should buy package 3.

a rectangle of side 48cm by 60cm is divided into squares of side x cm.find the greatest value of x and find the area of the area.​

Answers

Answer:

greatest value of X = 12

Area of square = 144 cm²

Step-by-step explanation:

The greatest value of X will be the highest common factor of 48 and 60 since we are told that the rectangle is divided into squares.

Factors of 48: 1, 2, 3, 4, 6, 8, 12, 16, 24, 48

Factors of 60: 1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, 60

The highest common factor between both factors of 48 and 60 is 12.

Thus,

greatest value of X = 12

Area of square = 12 × 12

Area of square = 144 cm²

what is the y intercept of 2(x-2)^2+3

Answers

Answer:

y intercept is 11 or (0,11)

Step-by-step explanation:

[tex]y = 2 {(x - 2)}^{2} + 3 \\ y = 2 {(0 - 2)}^{2} + 3 \\ y = 2(4) + 3 \\ y = 8 + 3 \\ y = 11[/tex]

The state education commission wants to estimate the fraction of tenth grade students that have reading skills at or below the eighth grade level. Step 2 of 2 : Suppose a sample of 292 tenth graders is drawn. Of the students sampled, 240 read above the eighth grade level. Using the data, construct the 80% confidence interval for the population proportion of tenth graders reading at or below the eighth grade level. Round your answers to three decimal places.

Answers

Answer:

The 80% confidence interval for the population proportion of tenth graders reading at or below the eighth grade level is (0.149, 0.207).

Step-by-step explanation:

In a sample with a number n of people surveyed with a probability of a success of [tex]\pi[/tex], and a confidence level of [tex]1-\alpha[/tex], we have the following confidence interval of proportions.

[tex]\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]

In which

z is the zscore that has a pvalue of [tex]1 - \frac{\alpha}{2}[/tex].

Suppose a sample of 292 tenth graders is drawn. Of the students sampled, 240 read above the eighth grade level.

So 292 - 240 = 52 read below or at eight grade level, and that [tex]n = 292, \pi = \frac{52}{292} = 0.178[/tex]

80% confidence level

So [tex]\alpha = 0.2[/tex], z is the value of Z that has a pvalue of [tex]1 - \frac{0.2}{2} = 0.9[/tex], so [tex]Z = 1.28[/tex].

The lower limit of this interval is:

[tex]\pi - z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.178 - 1.28\sqrt{\frac{0.178*0.822}{292}} = 0.149[/tex]

The upper limit of this interval is:

[tex]\pi + z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.178 + 1.28\sqrt{\frac{0.178*0.822}{292}} = 0.207[/tex]

The 80% confidence interval for the population proportion of tenth graders reading at or below the eighth grade level is (0.149, 0.207).

i need help pls!
this test is about angles, and i am having trouble with it.

Answers

Answer:

supplementary angle

Step-by-step explanation:

angles 6 and 8 are same side exterior angles

The second one is the answer good luck

the slope of the line joining points (3 ;2) and (0;a) is-1 determine the value of a​

Answers

Given:

The slope of the line joining points (3,2) and (0,a) is -1.

To find:

The value of a.

Solution:

If a line passes through two points [tex](x_1,y_1)[/tex] and [tex](x_2,y_2)[/tex], the slope of a line is:

[tex]m=\dfrac{y_2-y_1}{x_2-x_1}[/tex]

The slope of the line joining points (3,2) and (0,a) is -1. So,

[tex]\dfrac{a-2}{0-3}=-1[/tex]

[tex]\dfrac{a-2}{-3}=-1[/tex]

Multiply both sides by -3.

[tex]a-2=-1(-3)[/tex]

[tex]a-2=3[/tex]

[tex]a=3+2[/tex]

[tex]a=5[/tex]

Therefore, the value of a is 5.

(05.02)A farmer has decided to divide his land area in half in order to plant soy and corn Calculate the area of the entire area so he knows how much soil is needed. SOY #6 yards 6 yards CORN 2.5 yards 6.5 yards Each bag of soil covers 15 Square yards. How many bags should the farmer purchase? 0 1 bag O2 bags O 3 bags 4 bags​

Answers

9514 1404 393

Answer:

  4 bags -- the correct answer is marked

Step-by-step explanation:

The area of a parallelogram is given by the formula ...

  A = bh

where b is the base length and h is the height.

Here, the base is the sum of lengths 2.5 yd and 6.5 yd. The height is given as 6 yd. So, the area is ...

  A = (2.5 yd + 6.5 yd)(6 yd) = 54 yd²

At 15 yd² per bag, the farmer will need ...

  (54 yd²)/(15 yd²/bag) = 3 3/5 bags

Assuming the farmer can purchase only whole bags, the farmer should purchase 4 bags of soil.

The farmer should purchase 4 bags.

The area of the land is 54 square yards ((6.5+2.5)*6=54). To find out how many bags he’ll need, you want to divide the area by how much a bag of soil covers (54/15=3.6), and then you’ll round up to ensure he’ll have enough (3.6 becomes 4)

YOUR ASSIGNMENT: Difference of 10 Erik and Nita are playing a game with numbers. In the game, they each think of a random number from 0 to 20. If the difference between their two numbers is less than 10, then Erik wins. If the difference between their two numbers is greater than 10, then Nita wins. Use the information in the interactive and what you know about absolute value inequalities to better understand the game. Your Player 1. Choose your player, and record the number chosen by the other player. (2 points: 1 point for each answer) a. Which player did you select

Answers

Answer:

[tex]|x - y| > 10[/tex] ---- Nita wins

[tex]|x - y| < 10[/tex] --- Eric wins

Step-by-step explanation:

The complete instruction is to determine the range at which Erik or Nita wins.

To start with, let

[tex]x \to[/tex] Erik's score

[tex]y \to[/tex] Nita's score

If the difference is greater than 10, the Nita wins.

This implies that:

[tex]|x - y| > 10[/tex] ---- Nita

If less than 10, then Eric wins

This implies that:

[tex]|x - y| < 10[/tex] --- Eric wins

Now, assume that Nita chose 5.

For Nita to win, we have:

[tex]|x - y| > 10[/tex]

[tex]|x - 5| > 10[/tex]

Remove the absolute symbol

[tex]-10 > x - 5 > 10[/tex]

Split

[tex]-10 > x - 5\ or\ x - 5 > 10[/tex]

Solve for x

[tex]5 -10 > x \ or\ x > 10 + 5[/tex]

[tex]-5> x \ or\ x > 15[/tex]

Rewrite as:

[tex]x< -5 \ or\ x > 15[/tex]

x cannot be negative.

So:

[tex]x > 15[/tex]

x cannot exceed 20.

So:

[tex]15 < x \le 20[/tex]

PLEASE HELP MEEEEEE!!!

Answers

Answer:

100

Step-by-step explanation:

Help!!!!!!!!! Help help help help

Answers

150 man I think :) :):):):):)

Multiply. (2x-1)(3x+5)

Answers

ANSWER

6x² + 7x - 5

Step-by-step explanation:

(2x-1)(3x+5)

= 6x² + 10x - 3x - 5

= 6x² + 7x - 5

Answer:

6x² + 7x - 5

Step-by-step explanation:

FOIL method

Multiply the First terms

2x * 3x = 6x²

Then the Outer terms

2x * 5 = 10x

Inner terms

-1 * 3x = -3x

Last terms

-1 * 5 = -5

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

All together

6x² + 10x - 3x - 5

Combine like terms

6x² + 7x - 5

Mr. Harris had 35 players try out for the softball
team, but he cut some players from the team.
By the end of tryouts, the team still had more
than 25 players. (Use p as a variable.)

Answers

Answer:

35-P=25

Step-by-step explanation:

P= Number of players he cut

2(x+4)-6 = 2(x-8)+1
plz show work because if I don't have it then I can't pass ​

Answers

Answer:

no solution

Step-by-step explanation:

Given

2(x + 4) - 6 = 2(x - 8) + 1 ← distribute and simplify both sides

2x + 8 - 6 = 2x - 16 + 1

2x + 2 = 2x - 15 ( subtract 2 from both sides )

2x = 2x - 17 ( subtract 2x from both sides )

0 = - 17 ← not possible

This indicates the equation has no solution

help I don't know the answer​

Answers

answer:
p = 6,000

step-by-step explanation:
I = PRT
just add in the numbers
14,400 = p0.08(30)
14,400 = 2.4p
/2.4 /2.4
6,000 = p

In
any
School there are 7000
students 45%. are boys. How many
boys are there? How
many girls
are there​

Answers

Answer: there are 3150 boys and 3850 girl

Step-by-step explanation:

45÷100×7000= 3150 and 7000- 3150 = 3850

Hope this helps!!

How do you solve this problem ?

Answers

Answer: 2y124√y12

How to: Simplify the radical by breaking the radicand up into a product of known factors, assuming positive real numbers.

Have a great day and stay safe !

9514 1404 393

Answer:

  [tex]2\cdot y^{\frac{5}{8}}[/tex]

Step-by-step explanation:

The applicable rules of exponents are ...

  [tex](a^b)^c=a^{bc}\\\\(ab)^c=a^c\cdot b^c\\\\\sqrt[n]{x^m}=x^{\frac{m}{n}}[/tex]

__

So, the given expression can be rewritten to ...

  [tex](4\sqrt[4]{y^5})^{\frac{1}{2}}=(4^{\frac{1}{2}})(y^{\frac{5}{4}})^{\frac{1}{2}}= 2\cdot y^{\frac{5}{4}\cdot\frac{1}{2}}=\boxed{2\cdot y^{\frac{5}{8}}}[/tex]

_____

k = 2; n = 5/8

Plz help me well mark brainliest if correct....???.

Answers

Answer:

C.18

Step-by-step explanation:

In the chart it shows that 18 boys like to read science fiction. Hope this helps :)

The answer would be 18. Why? Because in the table I’d had a chart if boys and girls and the science fiction section had 18. Hope this helps!

WHATS THE ANSWER?? answer ASAP

Answers

im pretty sure the answer is c but not for sure
I think the answer is A because when you flip it you get the same image

What is the volume of a sphere with a diameter of 32,5 m, rounded to the
nearest tenth of a cubic meter?

Answers

Answer:

V≈17974.16

Step-by-step explanation:

Using the formulas

V=4

3πr3

d=2r

Solving for V

V=1/ 6πd^3=1/ 6·π·32.53≈17974.16422

What is 5.8 written as a percentage?
A)
0.58%
B)
5.8%
o
58%
D)
580%

Answers

Answer:

D) 580%

Step-by-step explanation:

you move the decimal to the right twice.

5.8 ---> 580%

hope this helps :)

The Williams family purchased 15 cheeseburgers for 75$ how did one cheeseburger cost?

Answers

Each cheeseburger cost $5.

To find this answer you divide. 75 divided by 15 equals 5.

Hope this helps!!

Answer:

O.5 cents each

Step-by-step explanation

You have to multiply 75 by 0.15

Is (1, 2) solution for this system of inequalities ?

Answers

Answer:

MAYBE

Step-by-step explanation:

Five friends take a maths test

Adam, Brandon, Chen together together scored 200 marks
Brandon, Chen and Damion together scored 215
Chen, Damion, Erica together scored 224
Damion and Erica scored more than Chen
The five of them together scored 350 marks

What are their individual scores

Answers

Answer:

Adam scored 60, Brandon scored 66, Chen scored 74, Damion scored 75, and Erica scored 75.

Step-by-step explanation:

Since five friends took the maths test, and Adam, Brandon, and Chen together together scored 200 marks; Brandon, Chen and Damion together scored 215; Chen, Damion and Erica together scored 224; and Damion and Erica scored more than Chen; While the five of them together scored 350 marks, to determine what are their individual scores the following calculations must be performed:

Adam + Brandon + Chen = 200

Damion + Erica = 150

Brandon + Chen + Damion = 215

Adam + Erica = 135

Chen + Damion + Erica = 224

Adam + Brandon = 126

Adam + Brandon = 126 + Chen = 200

Chen = 200 - 126

Chen = 74

Damion and Erica scored more than Chen

Chen + Damion + Erica = 224

74 + Damion + Erica = 224

Damion + Erica = 150

Damion = 75

Erica = 75

Brandon + Chen + Damion = 215

Brandon + 74 + 75 = 215

Brandon = 215 - 74 - 75

Brandon = 66

Adam = 350 - 75 - 75 - 74 - 66

Adam = 60

Therefore, Adam scored 60, Brandon scored 66, Chen scored 74, Damion scored 75, and Erica scored 75.

Can someone please help me with this question please (sorry for bad photo quality)

Answers

Answer:

a) (-1/2,3/2)

Step-by-step explanation:

-3x = x + 2

4x + 2 = 0

4x = -2

x = -1/2

y = -3(-1/2) = 3/2

if sides of a triangle have lengths 8 ft and 12 ft.

Answers

Answer:

[tex]20 > c > 4[/tex]

Step-by-step explanation:

Given

[tex]Sides =8\ and\ 12[/tex]

Required

The third side

To do this, we make use of the triangle inequality theorem which implies that:

[tex]a + b > c[/tex]

[tex]a + c > b[/tex]

[tex]b + c > a[/tex]

Where

[tex]a,b,c\to sides[/tex]

So, we have:

[tex]8 + 12 > c[/tex]

[tex]8 + c > 12[/tex]

[tex]12 + c > 8[/tex]

Solve all inequalities

[tex]8 + 12 > c[/tex]

[tex]20 > c[/tex]

[tex]8 + c > 12[/tex]

[tex]c > 4[/tex]

[tex]12 + c > 8[/tex]

[tex]c > -4[/tex]

Ignore negative inequalities.

So, we have:

[tex]20 > c[/tex] and [tex]c > 4[/tex]

Combine

[tex]20 > c > 4[/tex]

The above implies that the third length is between 5 and 19 (inclusive)

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