explanation
Counting Possibilities with Repetition or No Repetition:
Counting the number of possibilities in a given situation can vary quite a bit depending on whether repetition is allowed or not. For example, if trying to find how many 6 letter passwords can be made with 10 letter choices, if the letters are allowed to be repeated then there are 10 choices for each letter in the password - resulting in... 10 x 10 x 10 x 10 x 10 x 10 = 10^6 =1,000,000 possible passwords.
However, if repetition of letters is not allowed, then there are 10 choices for the first letter, but only 9 for the second, 8 for the third, and so on. This results in only 10 x 9 x 8 x 7 x 6 x 5 = 151,200
Answer :
There are 26 letters to choose from and 10 digits (0 through 9).
(a) If the first three entries must all be the same letter, then there are 26 choices for the first entry, but only one choice for the second and third entries. The fourth entry can then be any letter, so there are 26 possible choices for the fourth entry. The fifth and sixth entry must be digits, but repetition of numbers are not permitted. So the fifth entry has 10 choices and the sixth entry only has 9 choices. This is a total of 26 x 1 x 1 x 26 x 10 x 9= 60,840
b) If the first letter must be one of A, B, C, or D, then there are 4 choices for the first entry. No repetition is allowed, so the second entry must be chosen out of the 25 remaining letters, and similarly the third and fourth entry will have 24 and 23 choices each. The fifth and sixth entry must be digits, but repetition of numbers are not permitted. So the fifth entry has 10 choices and the sixth entry only has 9 choices. 4 x 25 x 24 x 23 x 10 x 9=4,968,000 different codes
hope this helped alittle ..
Ten boxes of paper weigh 260 pounds. Mrs. Thomas
ordered 24 boxes of paper for the science department.
How many pounds do 24 boxes of paper weigh?
Answer:
624 pounds
Step-by-step explanation:
If 10 boxes of paper weigh 260 pounds, one box of paper is equal to 26 pounds because 260 divided by 10 is equal to 26. If one box equals 26 pounds, 24 boxes times 26 pounds each is equal to 624 pounds.
(√5x+11 -4)(√5x+11 +4)
Answer:
5[tex]x^{2}[/tex]+49.193496x+105
Step-by-step explanation:
A word that means something has been added.
Answer:
Summed?
Step-by-step explanation:
it's the only word i could think of that's math related.
You purchase 5 DVDs and a CD. The cost of the CD is $9.50. Your total bill (before tax) is
$44.45. Write and solve an equation to find the cost of one DVD. (You may assume all the
DVDs are the same price.) *
Answer:
$6..99
Step-by-step explanation:
$6.99 each you do 44.45 - 9.50 than divide by 5
Please help it is due right now 7^8/7^6 =?
Answer:
7^2 or 49
hope this helped
In an article about the cost of health care, Money magazine reported that a visit to a hospital emergency room for something as simple as a sore throat has a mean cost of $328 (Money, January 2009). Assume that the cost for this type of hospital emergency room visitis normally distributed with a standard deviation of $92. Answer the following questions about the cost of a hospital emergency room visit for this medical service.Required:a. What is the probability that the cost will be more than $500?b. What is the probability that the cost will be less than $250?c. What is the probability that the cost will be between $300 and $400?d. If the cost to a patient is in the lower 8% of charges for this medical service, what was the cost of this patient’s emergency room visit?
Answer:
Kindly check explanation
Step-by-step explanation:
Given the following :
Assume a normal distribution :
Mean (m) = 328
Standard deviation (sd) = 92
To obtain Zscore :
Zscore = (x - m) / sd
What is the probability that the cost will be more than $500?
x = $500
Zscore = (500 - 328) / 92 = 172 / 92 = 1.869 = 1.87
1 - p(Z < 1.87) = 1 - 0.9693 = 0.0307
b. What is the probability that the cost will be less than $250?
x = $250
Zscore = (250 - 328) / 92 = - 78 / 92 = - 0.8478 = - 0.85
p(Z < - 0.85) = 0.1977
c. What is the probability that the cost will be between $300 and $400?
x = 300
Zscore = (300 - 328) / 92 = - 28/ 92 = -0.30
p(Z < - 0.3) = 0.3821
x = 400
Zscore = (400 - 328) / 92 = 72/ 92 = 0.783
p(Z < 0.783) = 0.7823
0.7823 - 0.3821 = 0.4002
d. If the cost to a patient is in the lower 8% of charges for this medical service, what was the cost of this patient’s emergency room visit?
Probability is lower 8%
P (Z < Zscore) = 0.08
Zscore of 0.08 corresponds to - 1.41 on the z table
Zscore = (x - m) / sd
-1.41 = (x - 328) / 92
-129.72 = x - 328
-129.72 + 328 = x
x = 198.28
The slope of a line is 2. The y-intercept of the line is –6. Which statements accurately describe how to graph the function?
A. Locate the ordered pair (0, –6). From that point on the graph, move up 2, right 1 to locate the next ordered pair on the line. Draw a line through the two points.
B. Locate the ordered pair (0, –6). From that point on the graph, move up 2, left 1 to locate the next ordered pair on the line. Draw a line through the two points.
C. Locate the ordered pair (–6, 0). From that point on the graph, move up 2, right 1 to locate the next ordered pair on the line. Draw a line through the two points.
D. Locate the ordered pair (–6, 0). From that point on the graph, move up 2, left 1 to locate the next ordered pair on the line. Draw a line through the two points.
Answer:
A
Step-by-step explanation:
Slope is positive 2 so we have to move 1 point right and 2 points up.
Secondly y-intercept is -6 so ,point is (0,-6)
The cost of a yoga class is $15 per session. In addition,
a mat fee of $2 is charged per session. Which of the
following represents the total cost in dollars, of the
class and mat for y sessions?
You're charged $15 + $2 or $17 per session
If y = # of sessions,
$17y represents the total amount of dollars charged for y sessions
The total cost in dollars, of the class and mat for y sessions will be 17y. Then the correct option is C.
What is a linear equation?A relationship between two or more parameters that, when shown on a graph, produces a linear model. The degree of the variable will be one.
The linear equation is given as,
y = mx + c
Where m is the slope of the line and c is the y-intercept of the line.
The cost of a yoga class is $15 per session.
In addition, a mat fee of $2 is charged per session.
Then the total cost in dollars, of the class and mat for y sessions will be
C = 15y + 2y
C = 17y
Then the total cost in dollars, of the class and mat for y sessions will be 17y.
Then the correct option is C.
The complete question is attached below.
More about the linear equation link is given below.
https://brainly.com/question/11897796
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On the basis of data provided by a salary survey, the variance in annual salaries for seniors in public accounting firms is approximately 2.3 and the variance in annual salaries for managers in public accounting firms is approximately 11.3. The salary data were provided in thousands of dollars. Assuming that the salary data were based on samples of 25 seniors and 26 managers, test to determine whether there is a significant difference between the variances of salaries for seniors and managers. At a 0.05 level of significance, what is your conclusion? State the null and alternative hypotheses.
Answer:
The null hypothesis is [tex]H_o : \sigma^2_1 = \sigma^2 _2[/tex]
The alternative hypothesis is [tex]H_a : \sigma^2_1 \ne \sigma^2 _2[/tex]
The conclusion is
There is no sufficient evidence to conclude that there is a difference between the variances of salaries for seniors and managers
Step-by-step explanation:
From the question we are told that
The variance for seniors is [tex]s ^2_1 = 2.3[/tex]
The variance for managers is [tex]s ^2_2 = 11.3[/tex]
The first sample size is [tex]n_1 = 25[/tex]
The second sample size is [tex]n_2 = 26[/tex]
The significance level is [tex]\alpha = 0.05[/tex]
The null hypothesis is [tex]H_o : \sigma^2_1 = \sigma^2 _2[/tex]
The alternative hypothesis is [tex]H_a : \sigma^2_1 \ne \sigma^2 _2[/tex]
Generally the test statistics is mathematically represented as
[tex]F = \frac{s_1^2}{s_2^2}[/tex]
=> [tex]F = \frac{2.3}{11.3}[/tex]
=> [tex]F = \frac{2.3}{11.3}[/tex]
=> [tex]F = 0.2035[/tex]
Generally the p-value is obtain for the F-distribution table (Reference - Free statistic calculator ) at a degrees of freedom
[tex]df_1 = 25 - 1[/tex]
[tex]df_1 = 24[/tex]
and [tex]df_2 = 26 - 1[/tex]
[tex]df_2 = 25[/tex]
The p- value is
[tex]p-value = f_{0.2035,24,25} = 0.99989[/tex]
So from the calculation we see that
[tex]p-value > \alpha[/tex]
So we fail to reject the null hypothesis
How would you match these up?
This 3D solid is a strange sideways bowl shape. Each cross section is a ring to show the empty space.
======================================================
Explanation:
Check out the diagram below. The graph was created with GeoGebra. We have y = x^2 in red and x = y^2 in blue.
The gray region is the region between the two curves. We spin this gray region around the horizontal green line y = 1 to generate the answer mentioned above.
Note how (1,1) is a fixed point that does not move as this is on the line y = 1. Every other point moves to sweep through 3D space to create the solid figure. One way you can think of it is to think of propeller blades. Or you can think of a revolving door (the door is "flat" so to speak, but it sweeps out a 3D solid cylinder).
Slope -2/3, through (-1,-6)
What is the equation of the line?
Answer:
Step-by-step explanation:
y + 6 = -2/3(x + 1)
y + 6= -2/3x - 2/3
y + 18/3 = -2/3x - 2/3
y = -2/3x - 20/3
find the midpoint of the line segment with the given endpoints (-4,4), (5,-1)
Answer:
-4+5/2 , 4+(-1)/2
1/2 , 3/2
A number increased by five is equal to thirty-four?
Answer:
that would be 29 my friend
Step-by-step explanation:
29 plus 5 is 34
What is the greatest whole number that rounds to 1,900 when rounded to the nearest hundred? The least whole number?
Answer:
When we round to the nearest hundred, we must look at the tens digit.
If the tens digit is 5 or lager, then we round up (we add 1 to the hundreds digit and after that, all the digits are zero.)
If the tens digit is smaller than 5, then we round down (the hundreds digit remains unchanged and after that, we complete with zeros.)
Then, the rounded number is 1900.
a) The greatest whole number that rounds to 1900 would be a number that is rounded down, then it will be:
1949
b) The least whole number that is rounded to 1900 is a number that we round up, this is:
1850
Largest: 1,949
This number is largest because it is closest to 1,900 without the number in the tens place being greater than 5, and the number in the tens place is bigger than 5
Smallest: 1,850
This number is smallest because any smaller number, like 1,849, would round to 1,800, and the number in the tens place is smaller than 5.
Have a good day!
HELP: Will Award Brainliest! Simplify 17x - 12 = 114 + 3x
Answer:
x=9
Step-by-step explanation:
17x - 12 = 114 + 3x
First Subtract 3x from both sides
14x - 12 = 114
Add 12 to both sides
14x=126
Divide by GCF (14)
x=9
Hope this helps! Plz award Brainliest : )
Answer:
17x - 12 = 114 + 3x
-3x +12 +12 -3x
Step-by-step explanation:
14x = 126
14/14 = 126/14 = 9
x = 9
We invest $3500 in an account that pays simple interest of 4% each year. How much interest is earned after 10 years?
Answer:
$1400
Step-by-step explanation:
Take $3500 and multiply by 4% (0.4) and then get the product of 140 then multiply by 10 for the years and get $1400. Hope this answer helped!
Determine if the set is the empty set.
1) {XIX E N and 8
3) 24 + 8x = 8(5x + 8) + 8x*
Find the value of x.
10/6 = x/12
Stephen Kiprotich, the 2012 Olympic marathon winner, completed the 26.219 miles in 128 minutes. What was his speed in kilometers per minute? PLS HURRY IM RUNNING OUT OF TIMEEEEE
Answer:
0.127 kilometers per minute
Step-by-step explanation:
if you can divide the number of miles by the number of minutes: 26.219/128 = 0.205 miles per minute. Next, we can use the proper conversion factor to give the number of kilometers per minute. Since 1 mile = 1.609 km, you can divide 0.205/1.609 to result in 0.127 kilometers per minute
Answer:Sample Response: Find the speed by dividing 26.219 by 128. Convert miles to kilometers by multiplying by the conversion factor, with miles in the denominator and kilometers in the numerator.
Step-by-step explanation:Pls give me brainliest award
Show all you work plzzz
Answer:
[tex]u=-7[/tex]
Step-by-step explanation:
[tex]-2u-5=9[/tex]
Add 5 to both sides:
[tex]-2u-5+5=9+5[/tex]
[tex]-2u=14[/tex]
Divide both sides by -2:
[tex]\frac{-2u}{-2}=\frac{14}{-2}[/tex]
[tex]u=-7[/tex]
Trevor spent $27 and now has no money left. He had $
his purchase.
before
Answer:
Wouldn't it be 27 dollars?
Step-by-step explanation:
The cost of one tire if a set of 4 tires cost to $322 The cost of each tire is about $...
An airport parking lot has. 2800 spaces.if each row has 25 spaces.how many rows are there?
How do you write 3 √ x 2 as an exponential form?
Answer:
log (2x)=3
log (3x)=2
3=log(x)
A rectangular garden has the dimensions
shown in the figure.
7.48 meters
15.6 meters
What is the perimeter of the garden?
A. 16.24 meters
C. 46.16 meters
B. 23.08 meters
D. 116.688 meters
Need ASAP
PLS HELPPP ITS NOT THAT HARD
Answer:
Step-by-step explanation:
1. System A is consistent and independent and unique solution
2. System B: inconsistent and no solutions
3. System C: consistent and dependent and infinite many solutions
What numbers are more than 3 units from −1 on a number line?
Hey there! I'm happy to help!
There is going to be a number 3 units to the right and 3 units to the left. If we go to the right, we add.
-1+3=2
And if we go to the left, we subtract.
-1-3=-4
So, the numbers that are more than 3 units from -1 on a number line is any number greater than 2 or less than -4.
Have a wonderful day! :D
Which algebraic expression represents the phrase “six less than a number”? 6x - x x - 6 6 - x x - 6x
Answer:
B. x-6
Step-by-step explanation:
The algebraic expression is x-6. Therefore, option B is the correct answer.
We need to find the algebraic expression for the phrase "six less than a number"
What are Algebraic Expressions?An algebraic expression (or) a variable expression is a combination of terms by the operations such as addition, subtraction, multiplication, division, etc.
Now, for the given statement "six less than a number".
Let the unknown number be x.
So, six less than a number is x-6.
Therefore, option B is the correct answer.
To learn more about the algebraic expression visit:
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Find the value of x in the equation 5(x+2)-3=10+7(2x-10)
Answer:
Exact form= 67/9 Decimal form= 7.4
Step-by-step explanation:
Answer:
x= 67 /9
Step-by-step explanation:
5(x+2)−3=10+7(2x−10)
x= 67 /9
x= 67 /9
Hoped I helped
