Answer:
75600
Step-by-step explanation:
We are given that a word MATHEMATICS
Total letters =11
M repeated 2 times
T repeated 2 times
A repeated 2 times
Total vowels=4
Let MTHMTCS=P
Total number of ways in which MTHMTCS can be arranged=
PAEAI
Total number of ways in which PAEAI can arranged=
Total number of arrangements when all consonant appear together=
Total number of arrangements when all consonant appear together=
By using formula ;
Answer:
$282.59 per share
Step-by-step explanation:
Given that,
Stockholders' equity = $323 million
price/earnings ratio = 14
shares outstanding = 8,800,000
Market/book ratio =7.7
Book Value per share:
= Stockholders' equity ÷ shares outstanding
= $323,000,000 ÷ 8,800,000
= $36.70
Market price per share:
= Book Value per share × Market/book ratio
= $36.70 × 7.7
= $282.59 per share
Answer:
2580n -43n^3 - 10000
Step-by-step explanation:
From the question:
q= assembled product
n = Number of employees
q(f) = 60n - n^3
p=g(q)= 43q - 10000
P(q)= 43(60n - n^3) - 10000
P(q) = 2580n - 43n^3 - 10000
Answer: it will take 5 months for both gyms to cost the same.
Step-by-step explanation:
Let x represent the number of months for which the total cost of gyms are the same.
Gym A charges a new member fee of $65 and $20 per month. This means that the cost of using gym A for x months would be
20x + 65
Gym B charges a new member fee of $25 and $35 per month but you get a discount of 20% monthly.
20% of 35 is 20/100 × 35 = 7
The monthly charge would be
35 - 7 = 28
This means that the cost of using gym A for x months would be
28x + 25
The number of months that it will take for the cost of both gyms to be the same would be
20x + 65 = 28x + 25
28x - 20x = 65 - 25
8x = 40
x = 40/8 = 5
Answer:
2
Step-by-step explanation:
6xy² = 1,2,3,6 ,x, y
8= 1,2,4,8
common factor =1.2
greatesst common factor = 2
Answer:
Step-by-step explanation:the answer is 2
Answer:
.701
Step-by-step explanation:
The reason for the option chosen is because the coefficient is closer to 1 which is the standard for correlation and also, the answer is rounded off to three decimal places as requested in the question.
Answer:
Option D is correct.
That is,
Randomly generate an integer from 1 to 7 two times, and the probability is (1/7) ^2
Step-by-step explanation:
The probability of having birthday on a particular day of a week for anyone is 1/7. That is, 1 day out of the 7 days in a week.
Then for another person to have birthday on that same day is mathematically given as
(1/7) × (1/7) = (1/7)²
And this corresponds to option D. Therefore option D is the statement that best describes the use of a simulation to predict the probability that two randomly chosen people will both have their birthdays on a Monday.
Hope this helps!
Answer:
Step-by-step explanation:
The experimental probability can be defined as the ratio of the number of times any particular event has occurred to the total number of times that event has taken place.
Experimental probability = P = No. of event occurrences / total number of occurrences.
In our question statement,
No of naturally occurring triplets are = 3375
Total number of births = 5 million = 5,000,000
Putting values in equation.
Answer: 6.75
Step-by-step explanation:
You just divide by 3,375/500,000 and get 6,75
Answer:
Step-by-step explanation:
There are first 20 positive integers 1,2...20. Three distinct integers are chosen at random.
Total no of ways of drawing 3 integers =
To Compute the probability that: (a) their sum is even
a) Sum can be even if either all 3 are even or 1 is even and 2 are odd.
There are in total 10 odd and 10 even.
Ways of sum even =
Prob =
b) their product is even
Here any one should be even or both
SO no of ways are
=
Prob =
Answer:
B
Step-by-step explanation:
S is the sample standard deviation, it is calculated when the observations represent a sample of the population. sigma is the population standard deviation, it is calculated when de observations are the whole population.