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elena-14-01-66 [18.8K]
3 years ago
7

Your current schedule only lets you take two 1-credit courses every six months. You need 12 credits to get the degree you want.

How long will it take you to get the degree?
Mathematics
1 answer:
lianna [129]3 years ago
6 0
So,

Since you can only take two one-credit courses every six months, you can earn 2 credits every six months, and 4 credits in one year.  Multiplying that by 3, you get 12 credits in 3 years.

It will take 3 years to get the degree.
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On the first of each month, Sasha runs a 5k race. She keeps track of her times to track her progress. Her time in minutes is rec
Angelina_Jolie [31]

The difference of mean for the given set of terms including the outlier and excluding the outlier is 1.01.

<h2>Mean</h2>

The arithmetic mean for a given set of numbers is defined as the central value for the given set of numbers.

Given that Sasha runs a 5k race. Her time in minutes is recorded in the table:

  • Jan 39. 55
  • Feb 40. 51
  • Mar 41. 01
  • Apr 37. 76
  • May 35. 32
  • June 33. 28
  • July 34. 38  
  • Aug 36. 48  
  • Sept 39. 87  
  • Oct 50. 32  
  • Nov 40. 59
  • Dec 41. 71.

The mean for the given set of terms can be calculated by the total sum of all the terms divided by the total number of terms.

Mean = \dfrac {39. 55+40. 51+41. 01+37. 76+35. 32+33. 28+34. 38+36. 48+39. 87+50. 32 +40. 59+41. 71} {12}

Mean = 39.23

Thus the mean of the given set of terms is 39.23.

The outlier term in the given set of terms is 50.32. If we exclude this outlier term, then the mean will be given as below.

Mean = \dfrac {39. 55+40. 51+41. 01+37. 76+35. 32+33. 28+34. 38+36. 48+39. 87+40. 59+41. 71} {11}

Mean = 38.22

The difference between the mean including the outlier and excluding the outlier is given below.

Difference = 39.23 - 39.22

Difference = 1.01

Hence we can conclude that the difference of mean for the given set of terms including the outlier and excluding the outlier is 1.01.

To know more about the mean, follow the link given below.

brainly.com/question/12513463.

3 0
3 years ago
If the random variable x has a uniform distribution between 40 and 50, then p(35 ≤ x ≤ 45) is:
Dvinal [7]
\mathbb P(35\le X\le45)=\mathbb P(X\le45)-\mathbb P(X\le35)=F_X(45)-F_X(35)

where F_X(x) is the cumulative distribution function of X. We have probability density given by

f_X(x)=\begin{cases}\frac1{10}&\text{for }40\le x\le50\\\\0&\text{otherwise}\end{cases}

which yields the CDF

F_X(x)=\begin{cases}0&\text{for }x

and so

\mathbb P(35\le X\le45)=\dfrac{45-40}{10}-0=\dfrac12
7 0
4 years ago
Find a vector equation and parametric equations for the line segment that joins P to Q. P(1, −1, 4), Q(4, 2, 1)
lesya [120]

Answer:

Step-by-step explanation:

Given points P(1, -1, 4), Q (4,2,1) vector equation of a line joining  the points with position vectors r₀ and r₁ is:

r = (1 - t)r₀ + tr₁

where

t ∈ [0, 1]

and r₀ = P = (1, -1, 4)

r₁ = Q = (4, 2, 1)

r(t) = (1 - t) \langle 1,-1,4\rangle  + t\langle 4,2,1 \rangle

r(t) = \langle 1 - t , -1 + t, 4 - 4t \rangle + \langle 4t, 2t, t \rangle

r(t) = \langle 1 - t+4t , -1 + t+ 2t, 4 - 4t+ t \rangle

r(t) = \langle 1 +3t , -1 +3t, 4 - 3t \rangle

∴

The vector equation r(t) = \langle 1 +3t , -1 +3t, 4 - 3t \rangle where t ∈ [0,1] is:

r(t) = (1+3t)i - (1+3t)j + (4 - 3t)k

The parametric equation is:

x(t) = 1 + 3t

y(t) = -1 + 3t

z(t) = 4 - 3t

(x(t), y(t), z(t) ) = ( 1 + 3t, -1 + 3t, 4 - 3t )

4 0
3 years ago
Read 2 more answers
Helpppp will mark brainliest.
Tju [1.3M]
8 ^ (-2) = 1 / 64
<span>4 ^ (-3) = 1 / 64</span>
4 0
4 years ago
write an equation to represent"three consecutive integers is 12 less than 4 times the middle integer'
Sever21 [200]

Consider that the three consecutive integers are:

least integer = n

middle integer = n + 1

greatest integer = n + 2

THe expression "three consecutive integers is 12 less than 4 times the middle integer" can be written as follow:

n + (n + 1) + (n + 2) = 4(n +1) - 12

In order to find the numbers, proceed as follow:

n + (n + 1) + (n + 2) = 4(n +1) - 12 cancel parenthesis

n + n + 1 + n + 2 = 4n + 4 - 12 simplify like terms

3n + 3 = 4n - 8 subtract 4n and 3 both sides

3n - 4n = - 8 - 3

-n = -11

n = 11

Hence, the three consecutive integers are:

n = 11

n + 1 = 12

n + 2 = 13

5 0
1 year ago
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