1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
Eva8 [605]
3 years ago
7

What is the probability that the mean duration of the 24 rowers with idna exceeds 63 minutes?

Mathematics
1 answer:
statuscvo [17]3 years ago
7 0

Answer:

Step-by-step explanation:

Given that: Training-session duration of female rowers with normal iron status is Normally distributed, with mean 69 minutes and standard deviation 18minutes.

Solution:

z score shows the relationship between sample means. The z score is used to determine by how many standard deviations the raw score is above or below the mean. It is given by the formula:

z=\frac{x-\mu}{\sigma}\\\\for\ sample(n):\\\\z=\frac{x-\mu}{\sigma/\sqrt{n} }  \\\\where\ \mu=mean,\sigma=standard\ deviation,x=raw\ score

Given that μ = 69 minutes, σ = 18 minutes, n = 24

For x > 63 minutes:

z=\frac{x-\mu}{\sigma / \sqrt{n} } =\frac{63-69}{18/\sqrt{24} }=-1.63

From the distribution table, P(x > 63) = P(z > -1.63) = 1 - P(z < 1.63) = 1 - 0.0516 = 0.9484

You might be interested in
Scott bought a pen and received change of $4.75 in 25 coins, all dimes and quarters. How many of each kind did he receive?
dangina [55]

Answer:

He received 10 dimes and 15 quarters.

Step-by-step explanation:

Dimes = $0.10

Quarters = $0.25

Variable x = dimes

Variable y = quarters

Create a pair of linear equations:

0.10x + 0.25y = 4.75

x + y = 25

Isolate any variable, using an equation of your choice:

x + y = 25

x = 25 - y

Plug in this new value of x into the other equation:

0.10(25 - y) + 0.25y = 4.75

Use the distributive property:

2.5 - 0.10y + 0.25y = 4.75

Combine like terms:

2.5 + 0.15y = 4.75

Isolate variable y:

0.15y = 2.25

y = 15

Plug in the value of y into any equation:

x + y = 25

x + 15 = 25

Isolate variable x:

x = 10

7 0
2 years ago
Evaluate the Riemann sum for (x) = x3 − 6x, for 0 ≤ x ≤ 3 with six subintervals, taking the sample points, xi, to be the right e
NikAS [45]

The answer for number one is -3.938.


For full answer it is found on:

https://www.algebra.com/algebra/homework/Finance/Finance.faq.question.1029380.html



3 0
3 years ago
Find a polynomial function of degree 3 with 2, i, -i as zeros.
sergiy2304 [10]

Answer:

p(x)= x^3-2x^2+x-2

Step-by-step explanation:

Here we are given that a polynomial has zeros as 2 , i and -i . We need to find out the cubic polynomial . In general we know that if \alpha , \ \beta \ \& \ \gamma are the zeros of the cubic polynomial , then ,

\sf \longrightarrow p(x)= (x -\alpha )(x-\beta)(x-\gamma)

Here in place of the Greek letters , substitute 2,i and -i , we get ,

\sf\longrightarrow p(x)= (x -2 )(x-i)(x+i)

Now multiply (x-i) and (x+i ) using the identity (a+b)(a-b)=a² - b² , we have ,

\sf  \longrightarrow p(x)= (x-2)\{ x^2 - (i)^2\}

Simplify using i = √-1 ,

\sf \longrightarrow p(x)= (x-2)( x^2 + 1 )

Multiply by distribution ,

\sf \longrightarrow p(x)= x(x^2+1) -2(x^2+1)

Simplify by opening the brackets ,

\sf\longrightarrow p(x)= x^3+x-2x^2-2

Rearrange ,

\sf\longrightarrow \underline{\boxed{\blue{\sf p(x)= x^3-2x^2+x-2}}}

4 0
2 years ago
alisia goes to the gym every 3 days Luis goes to the gym every 4 days they both are at on the 12th day what is the next day they
jenyasd209 [6]
24th is the answer, you just double the 12 because it’s both a number 3 and 4 go into
6 0
3 years ago
Help me. What is the slope of the line ?
lara31 [8.8K]
-2/-5 is the answer
7 0
3 years ago
Other questions:
  • Penelope has $1,459.75 in her bank account. To pay her bills, she writes 4 checks for $200.25, $359.45, $125, and $299.35. Then
    11·2 answers
  • Find the value of x ASAP
    13·1 answer
  • The coordinates of P and Q are (2,6) and (4,5) respectively. Equation of a line RS is Y= 2X -3. Determine if the lines are paral
    10·1 answer
  • The distance from the library to the park is 0.7 km how many meters is this
    5·2 answers
  • ASAP<br>-1/8(2h+4)+1/2=-7/4<br>a.7<br>b.25/16<br>c.7/16<br>d.25
    14·1 answer
  • Radius<br> Destiny population
    14·1 answer
  • Find GH.<br><br> 4.6<br><br> 3.6<br><br> K<br><br> 3.6<br><br> G<br><br> GH=
    9·1 answer
  • 467.4 + 0.492 =<br><br>PLS HELP​
    7·2 answers
  • Volume questionnnnnn
    9·1 answer
  • Find the number that makes the ratio equivalent to 3:2.<br> :24
    15·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!