30240 are 5-digit numbers (including leading 0s) are there with no digit appearing exactly two times
What is Number system?A number system is defined as a system of writing to express numbers.
By means of Permutation we solve this
The term permutation refers to a mathematical calculation of the number of ways a particular set can be arranged.
The formula for permutation is [tex]^{n}P_{r} =\frac{n!}{(n-r)!}[/tex]
n is total number of objects
r is number of objects selected
We need to find 5-digit numbers (including leading 0s) are there with no digit appearing exactly two times
¹⁰P₅=10!/(10-5)!
=10!/5!
=10×9×8×7×6×5!/5!
=30240
Hence, 30240 are 5-digit numbers (including leading 0s) are there with no digit appearing exactly two times
To learn more on Number system click:
https://brainly.com/question/22046046
#SPJ5
If µ = 400 and s = 100 the probability of selecting at random a score less than or equal to 370 equals ____.
The probability of selecting at random a score less than or equal to 370 is approximately 0.3821.
To find the probability of selecting at random a score less than or equal to 370 from a normal distribution with a mean [tex](\( \mu \))[/tex] of 400 and a standard deviation [tex](\( s \))[/tex] of 100, we can use the z-score formula and the standard normal distribution table.
The z-score formula is given by:
[tex]\[ z = \frac{x - \mu}{s} \][/tex]
Where:
- x is the value of the random variable (370 in this case)
- [tex]\( \mu \)[/tex] is the mean (400)
- s is the standard deviation (100)
Substituting the given values into the formula:
[tex]\[ z = \frac{370 - 400}{100} = -0.3 \][/tex]
Now, we look up the probability corresponding to z = -0.3 in the standard normal distribution table. The probability of selecting a score less than or equal to 370 is the cumulative probability up to z = -0.3.
From the standard normal distribution table, the cumulative probability corresponding to z = -0.3 is approximately 0.3821.
Therefore, the probability of selecting at random a score less than or equal to 370 is approximately 0.3821.
Find 10-3 write the substraction fact two ways
What is (f * g * h)(x) Refer the the image below.
what is 62 1/2% converted as a fraction
Please help.. I got stuck on this question please help and explain
Sam earned $150 last week. Jay earned $130 last week. They combined their money and decided to donate ¼ of their total amount to a charity. Then, they spent 40% of the remaining amount at an amusement park. Jay claims that they only have 35% of their original combined total left.
Is jay right or wrong?
HELP ASAP PLEASE!!!!!!!!!!!!!!
You received 1⁄3 pound of candy from your grandmother, 1⁄2 pound of candy from your sister, but your best friend ate 1⁄5 pound of candy. How much candy do you have left?
1/3 + 1/2 = 2/6 + 3/6 = 5/6
5/6 - 1/5 = 25/30 - 6/30 = 19/30 pounds left
Marisol is preparing a care package to send to her brother. The package will include a board game that weighs 4 lb and several 14 lb snack packs. The total weight of the care package must be less than 25 lb.
Drag and drop the answer into the box.
Question Answer
Which statement describes the solution to this inequality?
Marisol must send less than 1 snack pack.Marisol must send fewer than 21 snack packs.Marisol must send fewer than 84 snack packs.Marisol must send fewer than 100 snack packs.
In a sample of 200 students, what is the probability that over 31% of the sample has ap credit?
Product of prime factors for 60 = 2x2x3x5
How do i write this in index form?
I have tried by simplifying so it is 2 to the power of 2 x 3 x 5
It stills says it is incorrect, anyone know?
The correct index form for the product of prime factors of 60, which is 2x2x3x5, is 2^2 x 3 x 5.
Explanation:The product of prime factors for 60 is indeed 2x2x3x5. To write this in index form, we group the same numbers together and count how many there are. Then we use the base and exponent form to write it. Here, 2 is repeated twice. So, 2x2 can be written as 2^2. The primes 3 and 5 are each given once, so, we do not write powers for them. Therefore, the correct index form is 2^2 x 3 x 5.
Learn more about Index Form here:https://brainly.com/question/165721
#SPJ2
Of all numbers whose difference is 4, find the two that have the minimum product.
The two numbers whose difference is 4 will be +2 and -2. The two have the minimum product is -4.
What is the number?A number is a mathematical entity that can be used to count, measure, or name things. For example, 1, 2, 56, etc. are the numbers.
It is given that, there are two numbers whose difference is 4 and it must have a minimum product.
We have to apply arithmetic operation operations in which we do the addition of numbers, subtraction, multiplication, and division. It has basic four operators that are +, -, ×, and ÷.
Suppose one number is x and the other x−4.
The minimum product is,
=x(x−4)
=x²−4x
Differentiate both sides to obtain minimum value,
=2x-4
2x=4
x=2
The other number is,
=x−4
=2-4
=-2
Thus, the two numbers whose difference is 4 will be +2 and -2. The two have the minimum product is -4.
Learn more about the number here:
brainly.com/question/17429689
#SPJ5
Marina walks from the police station at (-10, -4) to her friend Marissa’s house at (3, -8). She stops half way at a fast food restaurant to buy a soda. What are the coordinates where she stops?
You want to place a towel bar that is 10 1⁄4 inches long in the center of a door that is 26 1⁄3 inches wide. How far should you place the bar from each edge of the door?
bar is 10 1/4" so center would be 10 1/4 / 2 = 5 1/8"
door is 26 1/3" so center would be 26 1/3 / 2 =13 1/6
13 1/6 - 5 1/8 = 8 1/24 inches from the edge
Typographic errors in a text are either nonword errors (as when "the" is typed as "teh") or word errors that result in a real but incorrect word. Spell-checking software will catch nonword errors but not word errors. Human proofreaders catch 70% of word errors. You ask a fellow student to proofread an essay in which you have deliberately made 10 word errors. What is the smallest number of misses m with P(X ≥ m) no larger than 0.05? You might consider m or more misses as evidence that a proofreader actually catches fewer than 70% of word errors.
The probability that a proofreader who catches 70% of the word errors misses exactly 7 out of 10 will be 0.3504.
How to calculate the probability?It should be noted that this is a binomial distribution.
From the information given, the human proofreaders catch 70% of word errors and a student was asked to proofread an essay in which you have deliberately made 10 word errors.
Here, n = 10
p = 0.3,
q = 1 - 0.3 = 0.7.
The probability will be:
= 1 - (10C0 × 0.3ⁿ × 0.7^10 + 10C1 × 0.3 × 0.7^9 + 10C2 × 0.3² × 0.7^8 + 10C3 × 0.3³ × 0.7^7)
= 1 - 0.6496
= 0.3504
In conclusion, the probability is 0.3504.
Learn more about probability on:
brainly.com/question/24756209
#SPJ1
find value of m=30 and n=18. m-n÷3=8
Evaluate 11x -4 when x = -4
56of the 90pets in the pet show are cats 4/5of the cats are calico cats. What fraction of the pets are calico cats?
Which quantity is proportional to 15⁄3?
The answer is 5 because 15/3=5
Evaluate the line integral, where c is the given curve. (x + 9y) dx + x2 dy, c c consists of line segments from (0, 0) to (9, 1) and from (9, 1) to (10, 0)
To evaluate the given line integral, you need to parameterize the curve composed of two segments. Then, you solve the integrals along the two separate segments and take the sum.
Explanation:To evaluate the line integral where the curve c consists of line segments from (0, 0) to (9, 1) and from (9, 1) to (10, 0) for the function (x + 9y) dx + x² dy, we need to parameterize the curve and solve the integral.
First, we parametrize the line segments. For the segment from (0, 0) to (9, 1), we have x = 9t and y = t for t in [0, 1]. For the segment from (9, 1) to (10, 0) let x = 9 + s and y = 1 - s for s in [0, 1].
Then, we integrate along the first and second segments separately with respect to t. For the first segment, the integral is ∫(9t + 9t) d(9t) + ∫(81t²) dt = ∫18t dt + ∫81t² dt. For the second segment, the integral is ∫(9 + s + 9(1 - s)) ds + ∫(81 + 2 * 9 * s + s²) d(1 - s) = ∫ds + ∫s² ds.
We then evaluate these integrals over the respective bounds, sum them up and that gives the line integral along the path described.
Learn more about Line Integral here:https://brainly.com/question/34566674
#SPJ2
a store buys a baseball cap for $5 and sells it for $20. what is the profit
6578 divided 34
20\5
Amy Jo found that the perimeter of a square was 53.2 square inches. What is the side length of the square?
perimeter of a square is 4 times side length (4s)
to find the length of a side divide the perimeter by 4
53.2 / 4 = 13.3
so each side is 13.3 inches
A 25-foot-long footbridge has two diagonal supports that meet in the center of the bridge. Each support makes a 65∘ angle with a short vertical support.
What is the reflection image of R across the y-axis?
(3, 2)
(–2, 0)
(0, 2)
(–3, –2)
Answer: (3,2)
Step-by-step explanation:
From the given picture , it is given that the point R = (-3,2)
We know that the rule of reflection across y axis is :
[tex](x,y)\rightarrow\ (-x,y)[/tex] i.e.the polarity of x coorinate changes.
Therefore, the reflection image of R across the y-axis will be :-
[tex](-3,2)\rightarrow\ (3,2)[/tex]
Hence, the reflection image of R across the y-axis =(3,2)
What is a polynomial with a single root at x = -8 and a double root at x = -2?
The polynomial equation will be x³ +12x² +36x+32 =0
What are the roots of a polynomial Equation ?The roots of a polynomial equation is the value at which it will satisfy the quadratic equation , i.e. function (x) = 0 at the root .
It is given that x = -8 is a single root and
x = -2 is double root
x+8 = 0
(x+2 )(x+2)=0 (double root)
The polynomial equation will be
(x+8)(x+2 )(x+2 )=0
(x+8)( x² +4+4x) = 0
x³ +4x+4x²+8x²+32+32x = 0
x³ +12x² +36x+32 =0
Therefore the polynomial equation will be x³ +12x² +36x+32 =0
To know more about Roots of a polynomial Equation
https://brainly.com/question/12404751
#SPJ2
How many binary digits does it take to represent the decimal number 2013?
It takes 11 binary digits to represent the decimal number 2013. Decimals are numbers that have two parts: a whole number part and a fractional part separated by a decimal point.
What is meant by decimal number?A decimal is a number with a whole and a fractional part. Decimal numbers are between integers and represent numerical value for whole plus some fraction of a whole. Decimals are numbers that have two parts: a whole number part and a fractional part separated by a decimal point. 12.5 is a decimal number, for example. (12)10 and (300)10 are two examples of decimal numbers. Thus, we can say that the Decimal Number System is the number system that uses the numbers 0 to 9 and has a base of 10, and each digit in this system has a power value of 10.Therefore, the correct option is C) 11
The complete question is:
How many binary digits does it take to represent the decimal number 2013?
a) 16
b) 8
c) 11
d) 2013
To learn more about decimal number, refer to:
https://brainly.com/question/1827193
#SPJ2
How did the forces of liberalism and nationalism affect events in the united states during the 1800s?
A theater group made appearances in two cities. The hotel charge before tax in the second city was $500 lower than in the first. The tax in the first city was 3.5% , and the tax in the second city was 7.5% . The total hotel tax paid for the two cities was $347.50 . How much was the hotel charge in each city before tax?
HECTOR PLANTED 185 FLOWERS IN 2 DAYS THERE WERE 5 VOLUNTEERS INCLUDING HECTOR WHO EACH PLANTED ABOUT THE SAME NUMBER OF FLOWERS ABOUT HOW MANY FLOWERS DID THEY PLANT
paige mows 1/6 acre in 1/4 hour.How many acres does paige mow per hour?