When Landon runs the 400 meter dash, his finishing times are normally distributed with a mean of 60 seconds and a standard deviation of 1 second . If Landon were to 38 practice trials of the 400 meter dash , how many of those trials would be faster than 58 seconds , to the nearest whole number ?

Answers

Answer 1

Answer:

87% would be faster than 58 seconds

Step-by-step explanation:

Landon runs the 400 meter dash, his finishing times are normally distributed with a mean of 60 seconds and a standard deviation of 1 second

[tex]\mu = 60[/tex]

Standard deviation =[tex]\sigma = 1[/tex]

We are supposed to find Landon were to 38 practice trials of the 400 meter dash , how many of those trials would be faster than 58 seconds , to the nearest whole number i.eP(x<58)

[tex]Z=\frac{x-\mu}{\sigma}\\Z=\frac{58-60}{1}\\Z=-2[/tex]

Refer the z table for p value

P(x<58)=0.0228

Landon were to 38 practice trials

So, P(x<58)=[tex]38 \times 0.0228=0.8664[/tex]

So, 86.64%  would be faster than 58 seconds

Hence 87% would be faster than 58 seconds


Related Questions

A museum recorded the numbers of visitors they had each day for a month. The table below shows the results.

What type of display would be best to use for this information?


A. line graph


B. histogram


C. double bar graph


D. circle graph

Answers

Answer:

A

Step-by-step explanation:

mrk brainly

Answer:

line graph

Step-by-step explanation:

Ten cards are numbered from 1 to 10 and placed in a box. One card is selected at random and replaced. Another card is randomly selected. what is the probability of selecting two even numbers? Hint: It's not 4/9 :(

Answers

Answer:

1/10

Step-by-step explanation:

Jennifer and Roger both keep herds of sheep. Jennifer’s herd has 12 more sheep than does Roger’s herd, and the combined total of sheep in Jennifer’s and Roger’s herd is 64. How many sheep are in Jennifer’s herd?

Answers

Answer:

38

Step-by-step explanation:

Let Roger be x

12+x + x = 64

12 + 2x = 64

2x = 64-12

x = 52/2 = 26

Jennifer will be 12 + 26 = 38

jennifer has 38 sheeps

correct answer gets brainliest

Answers

C, 122 sq cm

For the base it should be 5x5 which equals 25 sq cm. Then you need to do 5x9.7 which also equals 48.5. Then since it is a triangle you need to multiply is by 1/2 to get 24.25. Since there are four triangles multiply 24.25 by 4 to get 97. Finally add 25 to 97 to get 122.
I hope this helped and plz inform me if it’s incorrect! :)

A rectangle has a length of 8 inches
and a width of 6 inches.
What is the area of the rectangle?

Answers

Answer:

A = 48 inches ^2

Step-by-step explanation:

The area of a rectangle is found by

A = lw

A = 8* 6

A = 48 inches ^2

We can find the area of the rectangle using the formula below.

Area = length × width

Since the length is 8 inches and the width is 6 inches, we can plug this information into the formula to get (8 in.)(6 in.)

which simplifies to 48 in.².

So the area of the rectangle is 48 in.².

find tan a in the triangle

Answers

[tex]\frac{21}{20}[/tex]  Should be your answer

predict what the y-value will be if the x-value is 200.

Answers

Answer:

y = 555.5

Step-by-step explanation:

Hope that helps

A rectangular prism. Side a has a length of 5 centimeters, side b has a length of 4 centimeters, side c has a length of 4 centimeters, and side d has a length of 20 centimeters. Label the net by defining each variable. a = cm b = cm c = cm d = cm

Answers

Answer:

Label the net by defining each variable.

a = 5cm

b = 4cm

c = 4cm

d = 20cm

Step-by-step explanation:

edge 2020

The name of variables with each length are,

a = 5 centimeters.

b = 4 centimeters.

c = 4 centimeters.

d = 20 centimeters.

Given that,

In a rectangular prism,

Side a has a length of 5 centimeters.

Side b has a length of 4 centimeters.

Side c has a length of 4 centimeters.

And, side d has a length of 20 centimeters.

Hence, Label the net by defining each variable as,

a = 5 centimeters.

b = 4 centimeters.

c = 4 centimeters.

d = 20 centimeters.

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Please help me with this question

Answers

Answer:

51

Step-by-step explanation:

102 divided by 2 is 51

Answer:

102

Step-by-step explanation:

Since the central angle of a circle will have the same angle measure as its corresponding arc, the angle measure of x is 102 degrees. Hope this helps!

The point (0, 5) lies on a circle that is centered at the origin. Does (–3, –4) also lie on the circle? Identify the radius from the graph. r = units Determine the distance from the center to (–3, –4) using the distance formula. distance = units Compare the radius to the distance. Does the point (–3, –4) also lie on the circle?

Answers

Answer:

The point (0, 5) lies on a circle that is centered at the origin. Does (–3, –4) also lie on the circle?

Identify the radius from the graph.  

r = 5 units

Determine the distance from the center to

(–3, –4) using the distance formula.  

distance = 5 units

Compare the radius to the distance. Does the point (–3, –4) also lie on the circle? yes

i hope this helps :) i got it from e2020

Answer:

5

5

yes

Step-by-step explanation:

The point (0, 5) lies on a circle that is centered at the origin. Does (–3, –4) also lie on the circle?

Identify the radius from the graph.

r = ✔ 5 units

Determine the distance from the center to

(–3, –4) using the distance formula.

distance = ✔ 5 units

Compare the radius to the distance. Does the point (–3, –4) also lie on the circle?

✔ yes

Please Help image below with question

Answers

I think it’s 128 or 64

Answer:

402 cm.

Step-by-step explanation:

To find this, we will need to calculate the circumference of the reel. We can do this using the formula [tex]C = d\pi[/tex].

Since the radius is 4 cm, the diameter is 8 cm. Put this into the equation to solve for the circumference:

[tex]C = 8\pi = 25.12[/tex]

Since the reel spun 16 times, simply multiply the circumference by 16 to get:

25.12 × 16 = 401.92

≈ 402 cm.

What is |a| + |b + c| when a = - 4 , b = 2 , and c = - 7 ?

Answers

Answer:

9

Step-by-step explanation:

Rule => if ''a'' is negative, |a| = -a|0| = 0absolute value means how far a number from 0if we don't know anything about x,and x equals to a. We can say   |x| = a and  |-x| = a....So , x or -x equals a . But both of x aren't equals a, one of them is same

|a| + |b + c| =  |-4| + |2 + (-7)|

|-4| = -(-4) = +4

|2 + (-7)| = |-5|

|-5| = -(-5) = +5

4 + 5 = 9

Hope this helps ^-^

An experienced landscaper thought it would be funny to play a joke on some rookie landscapers. The rookies were given the measurements, length=4 cube root of 24ft and width=6 cube root of 3ft, and asked to find the exact area (no decimals) of the rectangular region they would be working with. Show the equation and all work needed to find the exact area in simplest form (no decimals). Be sure to write a sentence explaining your answer. Don’t forget the label!

Answers

Answer:

48∛9 ft²

Step-by-step explanation:

Data

length = 4 ∛24 ft  width = 6 ∛3 ft

The area of the rectangular region is computed as follows:

area = length * width

area = 4 ∛24 * 6 ∛3

area = 4*6* ∛(24*3)

area = 24 * ∛(2³*3*3)

area = 24 * 2∛9

area = 48∛9 ft²

What is the solution to the equation 5 x = 32?

a. x = 6
b. x = 6.4
c. x = 27
d. x = 160

Answers

Answer

   x = 32/5 = 6.400

Answer is B

Step-by-step explanation:

1: Rearrange

Rearrange the equation by subtracting what is to the right of the equal sign from both sides of the equation

Solving a Single Variable Equation

Solve  :    5x-32 = 0  

Add  32  to both sides of the equation :  

                     5x = 32

Divide both sides of the equation by 5:

                    x = 32/5 = 6.400

The correct answer is B.

Answer:   x = 32/5 = 6.400

Hope this helps.

Answer:

B

Step-by-step explanation:

5x=32 move the 5 over by dividing

x=5/32. 5 divided by 32 equals 6.4

so x=6.4

help asap thank youu

Answers

Answer:

Yes

Step-by-step explanation

Linear means no exponents i believe i hope this is right and i help if its not im soooooo sorry :)

Jackson is making slime for a science experiment. He mixed 8 fluid ounces of tide detergent for every 1 gallon of glue. Which of the following statements is true?

Answers

Answer: 8:1 is the correct ratio

Step-by-step explanation: Hope this helps <3

Andrew has a board that measures 4.85 meters. How many centimeters is this?
I need help and ill mark the person who answers this brainliest.

Answers

Answer:

485 cm

Step-by-step explanation:

1 m = 100 cm

4.85 m = 4.85 × 100 = 485 cm

Answer:

[tex]485cm[/tex]

Step-by-step explanation:

[tex]1m = 100cm \\ 4.85m = x \\ \\ cross \: \: \: multiply \\ 1 x= 4.85 \times 100 \\ 1x = 485 \\ x = 485[/tex]

[tex]4.85m = 485cm[/tex]

hope this helps

brainliest appreciated

good luck! have a nice day!

Name a game or sport in which parallel lines are important in game play and/or scoring

Answers

Answer: FOOTBALL

Step-by-step explanation:

Angles play a crucial role in football, from a pass or kick, to the way players move and how plays are called. Football players can even use angles to enhance their individual or team performance. For example, a football placekicker must know what angle to kick the ball at to score a field goal. The path the football will take once it’s kicked comes down to the angle at which it is kicked, the amount of force applied, and the height of the kick. When kicking from thirty yards away, a larger angle is necessary to get the ball through the goalpost. However, when making a fifty yard kick, a shorter angle is called for, so the ball can travel the greater distance to the goal. When the opposing team is trying to block the kick, a higher angled kick is necessary.

~Hope it helps and stay safe~ XD

Answer:

The answer is: Football

Step-by-step explanation:

i just need the blanks, but hurry!!

Answers

Answer:I think It should be 131 pi and 411.3 yards

Step-by-step explanation:because if you look at where they solved it the Bottom gives you the answer. I hope this is correct

Answer:

315 yd

Step-by-step explanation:

CYLINDER VOLUME: A (area) = π x r (radius) ^2

A = π (5)^2

A= 25 π

THEN

You need 5 (the radius) twice so 5^2 which equals 25

2 x π x r^2 (BUT WITH 25) → 2 x 25 π ^2

2 x π x r^2 (BUT WITH ORIGINAL RADIUS 5) → 2 x π(5)

Now multiply 25 x height →25 x 10.6 = 265

2 x 25 π ^2 + 265

2 x 25 = 50 + 265 = 315 π ^2

HOPE THIS MAKES SENSE

PLZ HELP!!!!
NEED ANSWERS NOW

Answers

Answer:

Mean or median

Step-by-step explanation:

Help Please!
Tarzan peeled 60 oranges in 10 hours. At that rate, how many oranges would he peel in 20 minutes?

Answers

Answer:

120

Step-by-step explanation:

( sorry thats wrong i see hours)

2 oranges in 20 minutes

Step-by-step explanation:

6 oranges for each hour so 20x3=60 so if you divide it up evenly between the 20 minutes 3 times then you get 2 oranges.

An angle in standard position has a terminal side that passes through (-1, -1). Choose all of the functions that will be negative for the angle.
tan
csc
sin
sec
cot
cos

Answers

Answer:

Tan

Step-by-step explanation:

given ch bisects dhg mgf = 2x+6 and dc =7x+1 Find x

Answers

Answer:

The value of the variable x is 1.

Step-by-step explanation:

We know that those elements are equal, which allow us to

[tex]2x+6=7x+1[/tex]

Solving for [tex]x[/tex], we have

[tex]6-1=7x-2x\\5=5x\\x=1[/tex]

Therefore, the value of the variable x is 1.

What is the shape of the cross section of the figure that is perpendicular to the rectangular base and passes through the top vertex of the figure?

A rectangular pyramid.
a parallelogram that is not a rectangle
a rectangle
a triangle that must have the same dimensions as one of the faces
a triangle that does not have the same dimensions as one of the faces

Answers

Answer:

I think Its D because In the rectangular base its not equal sides like a square so it would be more be like sides that are not perpendicular

Step-by-step explanation:

Im Pretty sure is D

The shape of the cross-section of a rectangular pyramid that is perpendicular to the rectangular base and passes through the top vertex is a triangle that does not have the same dimensions as one of the faces

What is a three dimensional shape?

A three dimensional shape is a figure that have length, width and height. Examples are prism, pyramid, cube, cone etc.

A rectangular pyramid has a rectangular base and four triangular faces.

The shape of the cross-section of a rectangular pyramid that is perpendicular to the rectangular base and passes through the top vertex is a triangle that does not have the same dimensions as one of the faces

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The human eye has different levels of sensitivity for different wavelengths of light. We can measure this sensitivity by comparing it (in percentages) to the highest possible sensitivity. S(w) models sensitivity as a function of wavelength w (in nanometers). Match each statement with the feature of the graph that most closely corresponds to it.​

Answers

Answer:

1. A wavelength of 320

2.the human eye 560

3.As the wavelength grows beyond 560

Step-by-step explanation:

W= 560

What is an easy way to remember what a dot plot is?

Answers

Answer:

Its a place where you can park your dot.

Step-by-step explanation:

Nine times out of ten it will have dots on it

what is 0.1 times 0.2???​

Answers

Answer:

0.02

Step-by-step explanation:

What is the domain of y = cos(2x)?
A.
[-2, 2]
B.
[0, 0)
OC. (-0,00)
D.
[0, 1]

Answers

Answer:

A

Step-by-step explanation:

The domain of sin x and cos x is [ - 1, 1]

For 2x then the multiply by 2

Three geometric sequences are given below.
Sequence A: 160, 40, 10, 2.5, ...
Sequence B: -21, 63, -189, 567, ...
Sequence C: 8, 12, 18, 27, ...
Order the sequences from least common ratio to greatest common ratio.
Sequence A
Sequence C
Sequence B

Answers

Answer:

B, A, C

Step-by-step explanation:

Calculating the common ratio for each sequence

A → r = [tex]\frac{40}{160}[/tex] = [tex]\frac{1}{4}[/tex] = 0.25

B → r = [tex]\frac{63}{-21}[/tex] = - 3

C → r = [tex]\frac{12}{8}[/tex] = 1.5

B, A, C ← from least to greatest common ratio



If f(x) = 2x2 and g(x)= x2 + 2x, which expression represents f(g(x))?

Answers

Answer:

f(g(x)) = 2(x^2 + 2x)^2

f(g(x)) = 2x^4 + 8x^3 + 8x^2

Step-by-step explanation:

Given;

f(x) = 2x^2

g(x) = x^2 + 2x

To derive the expression for f(g(x)), we will substitute x in f(x) with g(x).

f(g(x)) = 2(g(x))^2

f(g(x)) = 2(x^2 + 2x)^2

Expanding the equation;

f(g(x)) = 2(x^2 + 2x)(x^2 + 2x)

f(g(x)) = 2(x^4 + 2x^3 + 2x^3 + 4x^2)

f(g(x)) = 2(x^4 + 4x^3 + 4x^2)

f(g(x)) = 2x^4 + 8x^3 + 8x^2

Hope this helps...

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