Answer:
A. 175,760,000
B. 156,000,000
Step-by-step explanation:
For part A:
There are 26 letters in the alphabet. Therefore, if there are 3 spots to use 26 letters, that is represented as [tex]26^3[/tex]. As for numbers, there are 10 digits from 0-9. So if there are 4 spots for numbers, the total possible number of sequences is [tex]10^4[/tex]. So you simply multiply [tex]26^3[/tex] and [tex]10^4[/tex] to get 175,760,000 possible combinations.
For part B:
If the same letter can't be repeated, instead of using an exponent, we have to use a factorial, but only for the 3 digits required in the license plate. These are called permutations and can be expressed as [tex]_2_6P_3[/tex], which is the same as saying 26 x 25 x 24. Since there is no change to number of numbers, that remains the same.
[tex]_2_6P_3 * 10^4 =26*25*24*10^4=156,000,000[/tex]
Evaluate: 5 - 3x when X = -2
Answer:
Rewrite the equation as 5-3-2. -2 is x, as it says in the problem. All you have to do is solve, so you're answer will result in 0. :)
Answer:
Replace the variable x
with -2 in the expression.
5 − 3 x
Step-by-step explanation:
The Sine Function
The average number of customers per day at a home improvement store is given in the following table. The sine regression equation was found to be y = 29.882sin (0.887 x 1.271) + 85.635, where x represents the day where 1 = Sun of the week, 7 = Sat of the first week, 8 = Sun of the second week, and 14 = Sat of the second week. Use this model to predict the average number of customers on Tuesday. Round to the nearest customer.
a. 70
b. 67
c. 71
d. 64
Please select the best answer from choices provided
Answer:
D. 64
Step-by-step explanation:
I calculated it logically
The odds of winning a rifle are 1:9 the probability of winning a carnival game is 0.15 does the raffle or the carnival game give you better chance of winning
Answer:
Hence the carnival game gives you better chance of winning.
Step-by-step explanation:
Let the event of win be given by 1/10 in the game of rifle then the event of loose is given by 9/10
the
Odds in favor of a game are given by = P(Event)/ 1- P(Event)
Odds in favor of winning a rifle are given by = 1/10/ 1- 1/10
=1/10/9/10
=1/9
= 0.111
The probability of winning aa rifle game is 0.111
The probability of winning the carnival game is 0.15
Comparing the two probabilities 0.111:0.15
The probability of winning carnival game is greater than winning a rifle game
0.15>0.11
Hence the carnival game gives you better chance of winning.
Find the volume of the cone. Round your answer to the nearest hundredth.
A) 129.72m^3
B) 134.04m^3
C) 137.71m^3
D) 143.04
Answer:
can we get the figure plz
ARE the square root of the positive integer irrational? if not given an example of the square root of a number that is a rational number
9514 1404 393
Answer:
no; √4 = 2
Step-by-step explanation:
If an integer is the square of another integer, its square root is rational. For example, 9 = 3², so √9 = 3, a rational number.
The square root of an integer is irrational if and only if the integer is not a perfect square.
2. Sally charges $8.50 an hour to babysit for the first hour and $7.50 an hour each additional hour. Write an expression to
represent the cost Sally charges if x is the number of hours after the first hour.
Answer:
c = 8.50 + 7.50x
Step-by-step explanation:
c = 8.5 + 7.50x
What is the probability of spinning a yellow?
What is the probability of spinning an odd number?
What is the probability of spinning a number less than 5?
Answer:
Answer given below
Step-by-step explanation:
P (spinning yellow) = 2 / 8 = 1 / 4
P (Spinning an odd number) = 4 / 8 = 1 / 2
P ( spinning a number less than 5) = 4 / 8 = 1 / 2
Hope it helps
The probability of spinning a yellow is 1/4.
The probability of spinning an odd number is 1/2.
The probability of spinning a number less than 5 is 1/2.
What is Probability?Probability refers to potential. A random event's occurrence is the subject of this area of mathematics.
The range of the value is 0 to 1. Mathematics has incorporated probability to forecast the likelihood of various events.
The degree to which something is likely to happen is basically what probability means.
From the spinner
Blue region = 3
Red region= 1
Yellow region = 2
Purple region = 2
So, the probability of getting Yellow
P (spinning yellow) = 2 / 8
= 1 / 4
and, the probability of getting odd number
P (Spinning an odd number) = 4 / 8
= 1 / 2
and, the probability of getting less than 5
P ( spinning a number less than 5) = 4 / 8
= 1 / 2
Learn more about Probability here:
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Determine the value of angle ABC?
Answer:it is about 90-93 degrees and also it is a obtuse
Step-by-step explanation:
it is simple because it the other side to the right says 98 if you put it in it position it is alittle bigger so thats how i got my answer
Answer:
∠ ABC = 62°
Step-by-step explanation:
The inscribed angle ABC is half the measure of its intercepted arc AC
AC = 360° - (138 + 98)° = 360° - 236° = 124° , then
∠ ABC = [tex]\frac{1}{2}[/tex] × 124° = 62°
find the are of the triangle
PLEASE HELP ME ON THIS
Answer: C
Step-by-step explanation:
What is the answer using synthetic division? -6x^3+18^2-7x-b divided by x-2
Answer:
[tex]-6x^{3} + 322-7x - \frac{b}{x}[/tex]
Step-by-step explanation:
Factor the numerator and denominator and cancel the common factors.
Please help fasst???!!! Plzzzx
Answer:
y = 10(½)^(x)
Step-by-step explanation:
In writing exponential functions passing through points, we will just substitute the x and y values in each case into y = ab^(x).
Now, for point (-1, 20), the exponential function is; 20 = ab^(-1)
20 = a/b
For the point (1, 5), the exponential function is; 5 = ab^(1)
5 = ab
From 20 = a/b, we have; a = 20b
Thus, putting 20b for a in 5 = ab, we have;
5 = 20b(b)
b² = 5/20
b² = 1/4
b = √(1/4)
b = 1/2
Since a = 20b, then;
a = 20 × 1/2
a = 10
Thus, from y = ab^(x), we have;
y = 10(½)^(x)
4) If the sum of two numbers is 64, and the larger number is 3 less than 3 times the
smaller number. Find the smaller number.
Answer:
19
i hope this is the correct answer.
From the equation, the smaller number is 67/4.
What is an equation?An equation is a formula that expresses the equality of two expressions, by connecting them with the equals sign =.
Let x = smaller number and
y = bigger number
Then we can formulate an equation
x +y = 64 and y = 3x-3
Substituting y into
x+y = 64, we get the equation
[tex]x + 3x -3 = 64\\\\4x = 67\\\\x = \frac{67}{4}[/tex]
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What is the area of the shape
PLEASE HELP In 2010 the population of India was 1,231,000,000. By 2016, the population had increased by 7.5%.The land area of India is 1, 269,000 miles. What was the population density of India in 2016?
Complete the density statement below, round your answer to the nearest whole number
The population density of India in 2016 was
per
Answer:
The population density of India in 2016 was of 1042.8 habitants per miles squared.
Step-by-step explanation:
Population density:
Number of habitants divided by land area.
In 2010 the population of India was 1,231,000,000. By 2016, the population had increased by 7.5%.
This means that India's population in 2016 was given by:
1,231,000,000*1.075 = 1,323,325,000
The land area of India is 1, 269,000 miles squared:
1,323,325,000/1,269,000 = 1042.8 habitants per miles squared.
The population density of India in 2016 was of 1042.8 habitants per miles squared.
1) Find the missing measures of this
isosceles triangle below .
48°
B.
C
MAC
Answer:
B measures 66°
C measures 66° .Sum of all angels is 180° .
Solve for V . 7v-20=-6(v-1) Simplify your answer as much as possible.
Answer:
v = 2
Step-by-step explanation:
You can start by distributing -6:
7v - 20 = -6v + 6
To combine the like x terms, you can add 6v to both sides:
7v - 20 = -6v + 6
+6v +6v
13v - 20 = 6
Now add 20 to both sides to isolate the x term:
13v - 20 = 6
+20 +20
13v = 26
You can divide by 13 on both sides to find v,
13v = 26
÷13 ÷13
v = 2
Answer:
v= 2
Step 1: Simplify both sides of the equation.
7v−20=−6(v−1)
7v+−20=−6v+6
7v−20=−6v+6
Step 2: Add 6v to both sides.
7v−20+6v=−6v+6+6v
13v−20=6
Step 3: Add 20 to both sides.
13v−20+20=6+20
13v=26
Step 4: Divide both sides by 13.
13v/13 = 26/13
v=2
Tess and Dan have $24.00 each to spend at a book fair, where all students receive a 15% discount. They both want to purchase a copy of the same book, which normally sells for $24.50 plus 10% sales tax. To check if she has enough to purchase the book, Tess takes 15% of $24.50 and subtracts that amount from the normal price. She takes 10% of the discounted selling price and adds it back to find the purchase amount. Dan takes 85% of the normal purchase price and then computes 110% of the reduced price. Is Tess correct? Is Dan correct? Do they have enough money to purchase the book? Explain your answer using complete sentences.
Answer:
Tessa is correct. They have enough money.
Please read Comfort Zone on Wattpad!!!!!!
An article reported that for a sample of 58 kitchens with gas cooking appliances monitored during a one-week period, the sample mean CO2 level (ppm) was 654.16, and the sample standard deviation was 164.55. (a) Calculate and interpret a 95% (two-sided) confidence interval for true average CO2 level in the population of all homes from which the sample was selected. (Round your answers to two decimal places.) 611.81 , 696.51 ppm
Answer:
95% Confidence Interval = (611.81 ppm, 696.51 ppm)
Step-by-step explanation:
The formula for Confidence Interval is given as:
Confidence Interval = Mean ± z × s /√n
Mean = the sample mean/average = 654.16
s = the sample standard deviation = 164.55
z = z score of 95% confidence interval = 1.96
Confidence Interval =
654.16 ± 1.96 × 164.55/√58
= 654.16 ± 42.348
Hence,
654.16 - 42.348
= 611.812
Approximately to two decimal places = 611.81 ppm
654.16 + 42.348
= 696.508
Approximately to two decimal places = 696.51 ppm
Therefore, the 95% (two-sided) confidence interval for true average CO2 level in the population of all homes from which the sample was selected is (611.81 ppm, 696.51 ppm).
20 PTS! WILL MARK BRAINLIEST
A square prism and a cylinder have the same height. The area of the cross-section of the square prism is 157 square units, and the area of the cross-section of the cylinder is 50π square units. Based on this information, which argument can be made?
The volume of the square prism is one third the volume of the cylinder.
The volume of the square prism is half the volume of the cylinder.
The volume of the square prism is equal to the volume of the cylinder.
The volume of the square prism is twice the volume of the cylinder.
Answer:
The volume of the square prism is equal to the volume of the cylinder.
Step-by-step explanation:
As per the information depicted the volume of the square prism is equal all to the volume of the cylinder. Hence option C is correct.
What is the square prism?A square prism is thee dimensional cuboid with a base and the top has an equal square while the remaining four faces have a rectangle and the opposite side angles of the square prism are congruent and parallel to each other.
As a square prism have the least two lengths that are equal to each other. Hence the volume of the square prism is equal to the volume of the cylinder as they have the same height and area of cross-section.
Find out more information about the square prism.
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What is the solution to the system of equations below?
y = 2/5 x -3 and x = -10
-
A= (-10, -7)
B= (-10, -1)
C= (-7, -10)
D= (-1, -10)
WILL MARK FIRST CORRECT ANSWER BRAINLIEST
Answer:
here u go gurly
Step-by-step explanation:
Which is the equation of the given line?
Answer:
y = 1
Step-by-step explanation:
since its a horizantal line
if u take any 2 points and find the slope, for example if we take points (1, 1) and (4, 1) the slope will be 0/3 which is zero
y = 0x + b
so there is basically no x in this case
so y = b
now plug in a point from the line, (1, 1)
y = mx + b
y = 0x + b
1 = 0(1) + b
1 = 0 + b
1 = b
b = 1
final equation:
y = 0x + 1
y = 1Select ALL of the expressions that are equivalent to 3(8-4x)
24 - 4x
12x - 24
24 - 12x
-12x + 24
2(12 - 6x)
Step-by-step explanation:
24-12x,and 2(12-6x)
hope it helps
Find the inverse for each relation:
1. [(4,2),(5,1),(6,0),(7,-1)}
Answer:
the inverse for each relation:
1. [(4,2),(5,1),(6,0),(7,-1)} is
{(2,4),(1,5),(0,6),(-1,7)}
Solve the system of equations using substitution.
4x – y = 7
3y – 12x = –21
(3, 5)
(6, 17)
no solution
infinite solutions
Answer:
infinitely many solutions
Step-by-step explanation:
solve by substitution:
solve equation 1 for y: - y = 7 - 4x; divide by -1 to simplify into y = -7 + 4x
Substitute - 7 + 4x into the second equation to obtain:
3(-7 + 4x) - 12x = -21, which yields:
-21 + 12x - 12x = -21, which simplifies 0 = 0
a result of 0 = 0 means infinite solutions such as:
(2,1), (3, 5), (4, 9), (5, 13), (6, 17)....
Answer:
infinite soulutions
Step-by-step explanation:
i just did it and it was right on ed2021...
What is the equation of the graph below? y=1/2sinx y=1/2cosx y=1/2sin2x
Answer:
24
Step-by-step explanation:
I just did it in class. it was hard but you just have to think about the question
G(x)=3(x/2)
If you input 2 into g(x), what do you get for an output?
Enter your answer in the simplest form in the space provided below.
(If your answer is a decimal number, round it to two decimal places.)
Example answer: 42.63
Answer:
[tex]g(x) = 4[/tex]
Step-by-step explanation:
Given
[tex]g(x) = 3\frac{x}{2}[/tex]
Required
Find g(2)
This is calculated as:
[tex]g(x) = 3\frac{x}{2} \\[/tex]
Substitute 2 for x
[tex]g(x) = 3\frac{2}{2}[/tex]
[tex]g(x) = 3+1[/tex]
[tex]g(x) = 4[/tex]
Katie's baby took 3 naps. Each nap was
of an hour long
How long did the baby nap in all? Move numbers to the blanks to answer the question.
Answer:
the answer is 3 hours
Step-by-step explanation:
it just makes sense
the value of y is directly proportional to the value of x. if y =35 when x=140, what is the value y when x=70
Answer:
17.5
Step-by-step explanation:
35÷y = 140 ÷ 70
or, 35 = 2y
or, y= 17.5
How much did each notebook and each binders cost
Answer:
Each notebook cost $3 and each binder cost $4.
Step-by-step explanation:
Do some trial and error when plugging in certain numbers for each notebook and each binder. You should get $3 and $4 when plugging it in.