The time needed for passengers to board the Twisting Thunder roller coaster is skewed right with a mean of 49
seconds and a standard deviation of 7.1 seconds. The time to board the Spiral Wonder roller coaster is skewed left
with a mean of 44.8 seconds and a standard deviation of 3.7 seconds. What is the probability in a random sample of
32 times loading Twisting Thunder and 36 times loading Spiral Wonder that the mean time for Twisting Thunder is
less than that of Spiral Wonder?

Answers

Answer 1

Answer:

0.1416

Step-by-step explanation:

Answer 2

The probability in a random sample of 32 times loading Twisting Thunder and 36 times loading Spiral Wonder is 0.9574.

What is normal a distribution?

It is also called the Gaussian Distribution. It is the most important continuous probability distribution. The curve looks like a bell, so it is also called a bell curve.

The time needed for passengers to board the Twisting Thunder roller coaster is skewed right with a mean of 49 seconds and a standard deviation of 7.1 seconds.

The probability in a random sample of 32 will be

[tex]z = \dfrac{x - \mu}{\sigma}\\\\z = \dfrac{32 - 49}{7.1}\\\\z = -2.394[/tex]

P-value from Z-Table:

P(x<32) =

The time to board the Spiral Wonder roller coaster is skewed left with a mean of 44.8 seconds and a standard deviation of 3.7 seconds.

The probability in a random sample of 36 will be

[tex]z = \dfrac{x - \mu}{\sigma}\\\\z = \dfrac{36- 44.8}{3.7}\\\\z = -2.37838[/tex]

P-value from Z-Table:

P(x<36) = 0.0086945

The probability in a random sample of 32 times loading Twisting Thunder and 36 times loading Spiral Wonder will be

[tex]\rm \dfrac{P(x < 32)}{P(x < 36)} = \dfrac{0.0083246}{0.0086945} = 0.9574[/tex]

More about the normal distribution link is given below.

https://brainly.com/question/12421652


Related Questions

You bought a car that had factory installed tires marked as "P185 75/R14". You bought and installed tires on your car that are marked "P205 75/R14". What is the circumference of the P185 tire?
A) 24.93 inches
B) 27.93 inches
C) 78.31 inches
D) 81.99 inches

Answers

D is the right answer I think

PRE CALC HELP!!! 100 PTS AND BRAINLIEST
(the one I chose isn't correct I just accidentally pressed it)

Answers

Hello!

[tex]\large\boxed{\frac{\pi }{4} < x < \frac{5\pi }{4}}[/tex]

To begin, we can solve the inequality:

sin(x) > cos(x)

Divide both sides by cos(x):

sin(x) / cos(x) > 1

tan(x) > 1

x > π/4

However, we can also solve it the other way to produce the end to the interval:

sin(x) > cos(x)

1 > cot(x)

x < 5π/4

Therefore, sin(x) > cos(x) on the interval π/4 < x < 5π/4.

Answer:

π/4 < x < 5π/4.

Fifteen pieces of paper are numbered 1 to 15 and placed in a container. One piece of paper is selected at random, then replaced. The second piece of paper is selected at random. What is the probability that the first piece of paper is marked with a number less than 5 and the second piece of paper is marked with a 12?

Answers

12/15 and 1/15 is the prob

Which of the following is equivalent to the phrase "the product of thirty and a number is six"?
n - 6 = 30
30 + n = 6
30n = 6
30 + n = 6

Answers

Answer:

"The product of thirty and a number is six".

30n=6

30n=6 is the right answer.

6
x

5
y
=
14

Find
x
when
y
=
2

Answers

Answer:

4

Step-by-step explanation:

HELP!
What is the scale factor !

Answers

Answer:

A scale factor is usually a decimal which scales, or multiplies, some quantity. In the equation y = Cx, C is the scale factor for x. C is also the coefficient of x, and may be called the constant of proportionality of y to x.

Kendrick walked of a mile in of an hour. How fast did he walk? _____miles per hour​

Answers

Answer:

He walked at 1 mile per hour

Step-by-step explanation:

Answer:

He walked at 1 mph

Step-by-step explanation:

How do you write 3% as a fraction

Answers

Answer: 3/100

Step-by-step explanation:

Answer:

3/100

Step-by-step explanation:

Which expressions are equivalent to the expression 30x^2-5x-10

Answers

Answer:

10 (3 x - 1)

Step-by-step explanation:

Answer:

6 is equivalent as well as option 3

Round 723,084 to the nearest thousand.

Answers

Answer:

723,000

Step-by-step explanation:

Answer:

723,000

Step-by-step explanation:

Nearest thousand → 1000

723,000

A drag racer has two parachutes, a main and a backup, that are designed to bring the vehicle to a stop (combined with the brakes) after the end of a run. Suppose that the main chute deploys with probability 0 . 95, and that if the main fails to deploy, the backup deploys with probability 0.999.

Required:
a. What is the probability that one of the two parachutes deploys?
b. What is the probability that the backup parachutes deploys?

Answers

Answer:

a. 0.99995 = 99.995% probability that one of the two parachutes deploys

b.0.04995 = 4.995% probability that the backup parachutes deploys

Step-by-step explanation:

a. What is the probability that one of the two parachutes deploys?

Either the first deploys(with probability 95%), or the first does not deploy(probability 5%) and the second does(probability 99.9%). So

[tex]p = 0.95 + 0.05*0.999 = 0.99995[/tex]

0.99995 = 99.995% probability that one of the two parachutes deploys

b. What is the probability that the backup parachutes deploys?

The first does not deploy(probability 5%) and the second does(probability 99.9%). So

[tex]p = 0.05*0.999 = 0.04995[/tex]

0.04995 = 4.995% probability that the backup parachutes deploys

EASY WORK!!! Please look at the picture and yes it’s easy for other people but not for me .

Answers

Answer:

#8 --->      1/4  2/5  1/2  3/5  

#9 --->      6 3/8    6 1/2   6 3/4   6 5/6

#10 --->    1.75 feet is the longest

the other lengths are 1.58 ft. and 1.67 ft.

Step-by-step explanation:

good luck!

it's easy if you turn them into decimals.

to do that, you just divide the numerator (top number) by the denominator (bottom number).

e.i.   1/4= .25  (25%)

       1/2= .5   (50%)

       3/5= .6    (60%)

Answer:

8. 1/4, 2/5, 1/2, 3/5

9. 6 3/8, 6 1/2, 6 3/4, 6 5/6

10. the length of the longest bar is 1.75 feet

Step-by-step explanation:

(just convert all the fractions to decimal, it will be easier for you to do!)

8.

3/5 = 0.6

1/4 = 0.25

1/2 = 0.5

2/5 = 0.4

9.

6 3/4 = 6.75

6 1/2 = 6.5

6 5/6 = 6.83

6 3/8 = 6.375

10.

1 7/12 = 1.583

1 2/3 = 1.6 or 1.7

I will give brainiest to whoever answers correctly !!

Answers

Answer:

the material when you get a chance can you send me the material

can someone help me please im struggling and can’t figure these 2 problems out :(

Answers

I’m pretty sure the 2nd question is the bottom one which is the last one I think it says J it’s a bit small tho I’m very sorry if I’m wrong!!!

six less than six times a number is 12​

Answers

Answer:

x = 3

equation: 6x - 6 = 12

Step-by-step explanation:

6x - 6 = 12

aka:

6x + -6 = 12

+6. +6

6x = 18

/6. /6

x = 3

check: 6(3) - 6 = 12

18 - 6 = 12

12 = 12

6x-6=12
6(3)-6= 12
18-6=12
12=12
The number is 3

If 2^3x-1 = 32 then x = (image included)
a. 5
b. -2
c. 2
d. 4/3
e. -4

Answers

Answer:

x is equal to two.

Step-by-step explanation:

We know that 32 is a power of 2.  It is in fact two to the power of five.  So we can re-express that as:

[tex]2^{3x - 1} = 2^5[/tex]

Because they have the same constant as a base, we can toss the base altogether, and equate the exponents:

[tex]3x - 1 = 5\\3x = 6\\x = 2[/tex]

Solve the inequality: |x +5|>-1 please help i will give brainliest thank you​

Answers

Step-by-step explanation:

|x + 5| > -1

Since |y| >= 0 for all real values of y and 0 is greater than -1, there are infinitely many solutions for x.

Answer:

x> -6

Step-by-step explanation:

|x+5|> -1

x+5 > -1

  -5    -5

x> -6

Select all of the following tables which represent y as a function of x.

Answers

Answer:

the second and third one

Step-by-step explanation:

two y's that are the same can't have 2 outcomes

Help me please! I am in desperate need

Answers

Answer:

C. The coefficients of [tex]x^ay^b[/tex] and [tex]x^by^a[/tex] are equal.

Step-by-step explanation:

The binomial theorem is given as:

[tex](x+y)^n=\sum_{k=0}^{n} \binom{n}{k}x^{n-k}y^k[/tex]

[tex]n-k+k=n[/tex], and the coefficient of these terms are represented by [tex]\binom{n}{k}[/tex].

*Note [tex]\binom{n}{k}=\binom{n}{n-k}=\frac{n!}{k!(n-k)!}[/tex]

Therefore the coefficients of [tex]x^ay^b[/tex] and [tex]x^by^a[/tex] are equal.

Pls help extra points and mark brainlist easy reading

Answers

Answer: Its they second or last one but the second one sound more clear

Step-by-step explanation:

Which expression is a factor of 64x^2−25?

8x−5

32x−25

32x−5

8x−25

Answers

Answer:

A

Step-by-step explanation:

Answer:
[tex](8x-5)^{2}[/tex]

Step-by-step explanation:

Rewrite 64[tex]x^{2}[/tex] as [tex](8x)^{2}[/tex]
[tex](8x)^{2}[/tex]−80x+25

Rewrite 25 as 5^2.

(8x)^2−80x+5^2

Check that the middle term is two times the product of the numbers being squared in the first term and third term.

80x=2⋅(8x)⋅5

Rewrite the polynomial. [tex](8x)^2[/tex]−2⋅(8x)⋅5+[tex]5^{2}[/tex]

Factor using the perfect square trinomial rule [tex]a^{2}[/tex] −2ab + [tex]b^{2}[/tex]= [tex](a-b)^{2}[/tex], where a=8x and b=5.
[tex](8x-5)^{2}[/tex]

circle the staement below 1530 and 12530

Answers

Answer:

1530 < 12530

Step-by-step explanation:

i12530 is a bigger number than 1530

Answer:

what statement?

Consider the following pieces of identification a person might have in order to apply for a credit card:

B : Applicant present a birth certificate
D: Applicant presents a drivers license
M applicant presents a marriage license

Write Logical expressions

1. The applicant must present either a birth certificate, a drivers license or a marriage license.
2. The applicant must present any two of the following forms of identification: birth certificate, drivers license, marriage license
3. Applicant must present either a birth certificate or both a drivers license and a marriage license

Answers

Answer:

B v D v M ;

(B ٨ M) V (B ٨ D) V (M ٨ D) ;

B V (D ٨ M)

Step-by-step explanation:

Given :

B : Applicant present a birth certificate

D: Applicant presents a drivers license

M applicant presents a marriage license

1.)

This means that any one of the three must be presented :

Birth certificate OR Driver's license OR Marriage certificate

B v D v M

2.)

This means any two combination of the three certificates :

(birth certificate and marriage certificate) OR (birth certificate and driver's license) OR (marriage certificate and driver's license)

(B ٨ M) V (B ٨ D) V (M ٨ D)

3.)

That is birth certificate alone will suffice or a driver's incense and a marriage certificate

B V (D ٨ M)

Use the​ four-step method in problem-solving to solve the problem.

Ashley owns 14 acres of land which she rents to a Timber grower for $3131 per acre per year. Her property taxes are $882 per acre per year. How much profit does she make on the land each​ year?
A. $56,182
B. $42,952
C. $31,486
D. $44,716

Answers

Answer:

A. $56,182

Step-by-step explanation:

$3131 x 14= $43834

$882 x 14= $12348

$43834 + $12348= $56,182

$56,182 x 1=  $56,182

x-2y what is the coefficient of x

Answers

Answer:

the coefficient of x is an implied 1

any variable that's by itself without a coefficient has an implied 1

Step-by-step explanation:

I hope this helps :)

One-third x + one-sixth y = 2. When x is 3, 1 x + StartFraction 3 Over 6 EndFraction y = 6. One-half x + three-fourths y = negative 3. When x is negative 2, negative 1 x minus StartFraction 6 Over 4 EndFraction = 6. Negative 1 y = 12.
Continue solving the system of equations.

What is the solution to the system?

(
,
)

Answers

Answer:

(12, -12)

Step-by-Step:

I got it right on Edge 2021

Answer:

its 12,-

12

Step-by-step explanation:

Ted's taxi service has cabs that can seat 4 people and vans that can seat 15 people. The taxi service can transport a maximum of 134 people in its 17 units. How many vans does Ted's Taci Service have in it's fleet?

A. 19
B. 11
C. 9
D. 6​

Answers

Answer:

D. 6

Step-by-step explanation:

In an hyperbola, the fixed points that have a constant difference in distance from the center are called _

A. Asymptotes
B. Centers
C. Foci
D. Vertices

Please select the best answer from the choices provided

OA
OB
OC
OD

Answers

Answer is C. Foci...

The correct answer is C. Foci.

A hyperbola is defined as the flat open curve resulting from the intersection of a right circular cone from a plane not parallel to any of its origins. The line joining the foci of the hyperbola is called the base line.

The perpendicular to the middle of the baseline is called the center line. It becomes apparent that all points of the center line are equidistant from the foci.

Learn more in https://brainly.com/question/15697124

Please help I might flunk

Answers

let x represent the price of gold
x + 1.5 week 1
x + 1.5 - 3.375 = x - 1.875 week 2
x - 1.875 + .625 = x - 1.25 week 3
x - 1.25 + 1.5 = x + .25 Week four
the price of gold went up 25 cents in four weeks total

How to Simplify (7x+2)+(x+8)-2x

Answers

Answer:

Step-by-step explanation:

The answer to this should be 2(3x+5)

The simplified answer of this is 6x+10

I hope I helped you out.

Answer:

P: ()

E: 5^4 (example)

M:x

D: ÷

A:+

S:-

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