The probability to the nearest hundredth of a percent, the the password starts with a 9 and ends with a 6 is 1%.
A four digit password will have number ranging from 0-9.
There are four spots in total.
The first spot can not be taken by zero, so only 9 options can take the place of first spot. As the number can not be repeated, the second spot has only options a 0-8. The third spot will eventually have 8 options only. The Fourth spot will have 7 options available to fill the spot.
Hence total number of 4-digit passwords combinations can be calculated by multiplying the options,
= 9 x 9 x 8 x 7
= 10206.
A total of 10206 passwords are possible.
The number of passwords starting from nine and ending with six can be found as,
= 1 x 9 x 8 x 1
= 72
A total of 72 passwords starting from 9 and ending with 6.
The probability that a password chosen is starting from 9 and ending with 6 is,
P(E) = 72/10206
P(E) = 0.007
Probability in percent,
= 0.007 x 100
= 0.7
Rounding it off, we get nearly 1%.
So, the probability is nearly 1%.
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Work out m and c for the line: y = 2 x + 5
Answer:
m=2
Step-by-step explanation:
PLEASE ANSWER RIGHT AWAY
8.723 x 10-¹⁰ =
An equivalent form of the index 8.723 x 10-¹⁰ is 0. 0000000008723
What is index form?The index form of a number is simply that number written as an exponential expression, or even as a single number that is raised to another number.
Index form is also known as standard form
Given the index form;
⇒ 8.723 x 10-¹⁰
⇒ 8. 723 × 10^ -(10)
This means that there 10 zero digits from the left end of the given decimal, it is expressed as;
0. 0000000008723
Thus, an equivalent form of the index 8.723 x 10-¹⁰ is 0. 0000000008723
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Solve the inequality −3s+7 ≤ 8 or −2s+4≥12
Answer: B
Step-by-step explanation:
The equation the quantity 2x minus 10 divided by 4 = 3x models temperature change, where x represents the difference in degrees in the last 24 hours. solve for x. x = −10 x = −1 x = 2 x = 11
The value of x is -1. Option B
How to determine the valueFrom the information given, we have the equation as;
2x - 10/ 4 = 3x
Where;
the equation models temperature changex represents the difference in degreesLet's simplify the equation
cross multiply
2x - 10 = 3x × 4
2x - 10 = 12x
collect like terms
2x - 12x = 10
-10x = 10
Divide both sides by the coefficient of x
x = 10/ -10
x = -1
Thus, the value of x is -1. Option B
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Kyle did not study for the first math test of the school year on the first test the ratio of the number he got correct to the number he got incorrect was 3:5 he was not happy with his grade so he decided to study for the next test. On the second test, the ratio of the ratio of number of problems he got correct to the number he got incorrect was 6:2. How many problems did he get corrector the second test if he got 10 incorrect on the first test
The problems he got correct on the second test is 12.
How many answers did he get correct?
Ratio expresses the relationship between two or more numbers. It shows the the number of times that one value is contained within other value(s). Ratio is used to compare two or more numbers. The sign used to represent ratio is :
The first step is to determine the total number of questions on the math test : (sum of ratios x answers gotten incorrect on the first test) / ratio of the answers gotten incorrect
(8 x 10) / 5 = 16
Answers gotten correct on the second test : (ratio of correct answers / sum of ratios) x total number of questions
(6/8) x 16 = 12
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Shannon buys a bag online for $32.00 including tax, and the shipping is $4.00. If she decided to buy more of the same bags and it doesn't change the shipping cost, how many can she buy with $100.00
8
3
6
7
Answer: 6
Step-by-step explanation:Shannon buys a bag online for $32.00 including tax, and the shipping is $4.00. If she decided to buy more of the same bags and it doesn't change the shipping cost, how many can she buy with $100.00
For each function, find the inverse and the domain and range of the function and its inverse. Determine whether the inverse is a function.The formula for converting from Celsius to Fahrenheit temperatures is F=9/5 C+32 .
b. Use the inverse to find the Celsius temperature that corresponds to 25⁰F .
The formula for converting from Celsius to Fahrenheit temperatures is F = 9/5 C + 32 then the inverse function is one-to-one.
What is the inverse formula?The inverse function returns the original value for which the output of a function was given. When it comes to functions, f and g are inverse, with f(g(x)) = g(f(x)) = x. A function that is made up of its inverse returns the original value.
The formula for converting from Celsius to Fahrenheit temperatures is
F = 9/5 C + 32.
Let the Fahrenheit temperatures is F = 9/5 C + 32
Subtract 32 from both sides:
F - 32 = 9/5 C + 32 - 32
F − 32 = 9/5 C
Multiply both sides by 5:
5(F − 32) = 9C
Divide both sides by 9:
5/9 (F − 32) = C or C = 5/9 (F − 32)
For 27° F
⇒ C = 5/9 (27 - 32)
⇒ C = 5/9 (-5)
⇒ C = -25/9
⇒ -2.78 C° 2.dp.
Yes, the inverse is a one-to-one function.
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Let f(x)=x+5 and g(x)=x²-25 . What is the domain of f/g(x) ?
(A) All real numbers (B) All real numbers except 5 (C) All real numbers except -5 (D) All real numbers except -5 and 5
A composite function exists as a function that depends on another function. The value for f/g(10) is 1/5
What is meant by composition function?In mathematics, function composition exists as an operation ∘ that takes two functions f and g, and has a function h = g ∘ f such that h(x) = g. In this operation, the function g exists used to the result of applying the function f to x.
Function composition is a mathematical procedure where two functions, f, and g, are taken and a function, h = g ∘ f, is produced such that h(x) = g(f(x)). The function g exists used in this operation on the outcome of applying the function f to x.
Let the two functions be f(x) = x+5 and g(x) = x²-25
A function exists described as a relationship between one variable and another variable.
(f/g)(x) = f(x)/g(x) = (x+5) / (x²-25)
The domain of a function exists the set of all possible inputs for the function.
When the denominator is zero, the function remains undefined.
Hence, x cannot take the values 5 and -5.
The function (f/g)(x) is defined for all values of x except x = 5, -5.
Hence, the domain is all integers except x = 5, -5
⇒ (f/g)(10) = (10 + 5) / (100 - 25)
simplifying the above equation, we get
⇒ (f/g)(10) = (15) / (75)
⇒ (f/g)(10) = 1/5
Therefore, the value of (f/g)(10) is 1/5.
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For each function, find the inverse and the domain and range of the function and its inverse. Determine whether the inverse is a function.
f(x)= √x+7
The domain of the function {x ∈ R, x ≥ −7}
The inverse function would be [tex]f^{-1}(x)[/tex] = x² - 7
Range of the function be {y ∈R, y ≥ −7}
What is an inverse function's domain and range?The domain of a relation's inverse is the same as the range of the original relation.
In other words, the y-values of the relation are the inverse's x-values.
Domain of f(x) = {x ∈ R, x ≥ −7} and Range = {y ∈ R, y ≥ 0}
Domain of [tex]f^{-1}[/tex](x)= {x ∈ R}, Range = {y ∈ R, y ≥ −7}
The domain of the function would be all x, such that x+7 ≥ 0, or x ≥ −7. Hence it is {x∈ R, x ≥ −7}.
Consider the range of the function y = √x + 7.
Since √x+7 ≥ 0, it is obvious that y ≥ 0.
Range would be {y ∈ R, y ≥ 0}
The inverse function would be [tex]f^{-1}(x)[/tex] = x² - 7
The domain of the inverse function is all real x, {x ∈ R}
For the range of the inverse function solve y = x²-7 for x.
It would be x = √y+7.
⇒ y + 7 ≥ 0.
Hence, the range of the function be {y ∈R, y ≥ −7}
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Is the point (-7, 1) a solution to the inequality y < 0.5x + 9? yes or no
The point (-7, 1) is in fact a solution for the inequality y < 0.5x + 9
Is the point (-7, 1) a solution to the inequality y < 0.5x + 9?
A point is a solution of a inequality only if it makes the truth value of the inequality true.
In this case, it would mean that the right side of the inequality is strictly larger than the left side.
So to check that, we just need to replace the values of the point on the inequality.
The values are x = -7 and y = 1, replacing that in the given inequality we will get:
1 < 0.5*(-7) + 9
1 < -3.5 + 9
1 < 5.5
This is true, 5.5 is larger than 1, then we conclude that the point (-7, 1) is in fact a solution for the inequality y < 0.5x + 9
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Which function represents the value after x years of a new delivery van that costs $ 25,000 and depreciates 15 % each year?
(A) y=-15(25,000) x (C) y=25,000(0.85)x (B) y=25,000(0.15)x D) y=25,000(1.15) x
The function that represents the value after x years of a new delivery van that costs $ 25,000 and depreciates 15 % each year is option (C) y = 25000(0.85)ˣ.
Consider the compound interest formula:
y = P(1 + r/n)ⁿˣ
y here stands for the car's potential value.
P represents the value of the new car.
r is a measure of how quickly a car's value declines.
The number n indicates how frequently the car's value depreciates each year.
x represents the number of years.
Given P = 25000
r = -15% = -0.15 (Since the value of the car depreciates)
n = 1
x = x
Using the given values, we get the function as,
y = 25000(1 + (-0.15)/1)ˣ
⇒ y = 25000(1 - 0.15)ˣ
⇒ y = 25000(0.85)ˣ
Therefore, the function that represents the value after x years of a new delivery van that costs $ 25,000 and depreciates 15 % each year is option (C) y = 25000(0.85)ˣ.
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Suppose the path of the jump changes so that the axis of symmetry becomes. X=2 and the height stays the same. If the path of the jump also passes through the point (5,5) , what quadratic function would model this path?
The quadratic function of the jump is y = -0.22x^2 +0.89x + 6.11 if the jump changes so that the axis of symmetry becomes X=2 , the height stays the same 7 and also passes through the point (5,5)
Quadratic function involving vertex is given by
y = a(x-h)^2 + k
Where (h,k) is the vertex which is given as (2,7)
y = a(x-2)^2 + 7
y = a(x-2)(x-2) + 7
y = a(x^2 -4x +4) + 7
Recall that
h = -b/2a
k = -(b^2 -4ac)/4a
2 = -b/2a
-b = 4a
b = -4a
Put b = -4a
k = -(b^2 -4ac)/4a
7= -(b^2 -4ac)/4a
7 = -((-4a)^2 -4ac)/4a
7 = -(16a^2 - 4ac)/4a
7 = (-16a^2 + 4ac)/4a
7 = -4a + c
c = 7 + 4a
The path of the jump also passes through (5,5)
y = ax^2 + bx + c
5 = a5^2 + b5 + c
5= 25a +5b + c
Put b = -4a in above
5= 25a +5(-4a) + c
5= 25a -20a+ c
5 = 5a + c
Put c = 7 + 4a
5 = 5a + 7 +4a
Collect like terms
5-7 = 5a + 4a
-2 = 9a
a = -2/9
Put a in
y = a(x^2 -4x +4) + 7
y = -2/9(x^2 -4x +4) + 7
y = (-2x^2 +8x -8)/9 +7
Multiple through by 9
9y = -2x^2 +8x -8 + 63
9y = -2x^2 +8x + 55
Dividing through by 9
y = -0.22x^2 +0.89x + 6.11
Therefore the equation of the jump is
y = -0.22x^2 +0.89x + 6.11.
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Cant submit till i find the right answer help me!!!!
Right Answers Only for crowns ratings and thankyous
Matthew has a points card for a movie theater. He receives 50 rewards points just for signing up. He earns 8.5 points for each visit to the movie theater. He needs at least 185 points for a free movie ticket
Which inequality can be used to determine v, the minimum number of visits Matthew needs to earn his first free movie ticket?
The inequality that can be used to determine v, the minimum number of visits Matthew needs to earn his first free movie ticket is 50 + 8.5v >= 185.
How to illustrate the information?From the information, Matthew has a points card for a movie theater, he receives 50 rewards points just for signing up and earns 8.5 points for each visit to the movie theater.
Since he needs at least 185 points for a free movie ticket, the inequality will be:
50 + 8.5v >= 185
where v = the minimum number of visits Matthew needs to earn his first free movie ticket.
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what is ∠ABD, ∠CBD, and ∠ABC??
The measure of angle ABD (m ∠ABD) is 44°
The measure of angle CBD (m ∠CBD) is 44°
The measure of angle ABC (m ∠ABC) is 88°
From the question, we are to calculate the measures of the given angles
From the given, information, we have that BD bisects ∠ABC
Thus,
m ∠ABD = m ∠CBD
From the given diagram,
m ∠ABD = (6x + 14)°
and
m ∠CBD = (3x + 29)°
Then,
(6x + 14)° = (3x + 29)°
Solve for x
(6x + 14)° = (3x + 29)°
6x + 14 = 3x + 29
Collect like terms
6x - 3x = 29 - 14
3x = 15
x = 15/3
x = 5
Put the value of x into the equations
m ∠ABD = (6(5) + 14)°
m ∠ABD = (30 + 14)°
m ∠ABD = 44°
Since
m ∠ABD = m ∠CBD
Then,
m ∠CBD = 44°
and
m ∠ABC = m ∠ABD + m ∠CBD
m ∠ABC = 44° + 44°
m ∠ABC = 88°
Hence, the m ∠ABD = 44°, m ∠CBD = 44°, and m ∠ABC = 88°
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Select the correct answer.
Statement 1: A citizen can vote if he or she is older than 18.
Statement 2: A citizen who is younger than 18 cannot vote.
How is statement 2 related to statement 1?
A.
The relationship between the statements cannot be determined.
B.
Statement 2 is the inverse of statement 1.
C.
Statement 2 is the converse of statement 1.
D.
Statement 2 is the contrapositive of statement 1.
Answer:
Statement 2 A supports statement 2 Best
Step-by-step explanation:
statement two is correct a citizen under the age of 18 cannot vote.
An inverse statement means the opposite of the original statement.
So, A would best support the answer.
I apologize if I am wrong in any way please kindly correct me.
Have a an amazing Day my fellow brainly users!
Answer:
A.
Statement 2 is the contrapositive of statement 1.
Step-by-step explanation:
The scale of a map says that 4 cm represents 5 km. Type each answer in the boxes below. a. What distance on the map (in centimeters) represents an actual distance of 4 kilometers? 1$$ centimeters Correct answers: 13.2 0 out of 1 b. What is the actual number of kilometers that is represented by 5 centimeters on the map? 1$$ kilometers
The distance on the map that represents an actual distance of 4 kilometers is 3.2cm.
The actual number of kilometers that is represented by 5 centimeters on the map is 6.25 kilometers.
What are the distances?A scale drawing is a smaller version of a larger image. In this question, the map is a scale drawing of the city. The scale drawing is reduced using constant dimensions using a scale.
A scale gives the ratio of the length of the scale drawing to the actual diagram or object. In this question, every 4cm on the map represents 5km in the city.
The distance on the map = (4 x 4) / 5
16 / 5 = 3 1/5 cm = 3.2 cm
The actual distance = (5 x 5) / 4
= 25 / 4 = 6 1/4 = 6.25 kilometers
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answer please will mark brainliest
The total surface area or surface area of the given sphere is 84.9 cm² rounded to 1 decimal place whose radius is 2.6cm
The total surface area or surface area of a sphere is given by the formula 4πr²
From the given figure it is clear that the radius of the sphere is 2.6cm
Here, we will use the value of π as 3.14 and not 22/7
So, Substituting the values in the formula of Total surface area of a sphere.
the total surface area =4 π (2.6)²
4 × 3.14 × 6.76
= 84.9056 cm²
Hence, the total surface area or surface area of the given sphere is 84.9056 cm² or 84.9 cm² rounded to 1 decimal place whose radius is 2.6cm
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What is the answer to this problem ?
The correct option for showing the interval (-∞, -7) is Option C.
What is Interval?
An interval includes all the numbers that come between two particular numbers.
The given interval is (-∞, -7).
Now, On the number line (-∞, -7) is shown as;
The interval is open interval.
Hence, At point -7 the graph is in open circle.
And, The graph is going left side.
Hence, The correct option for showing the interval (-∞, -7) is Option C.
Which is shown in figure.
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WHAT IS THE RANGE OF THE FOLLOWING DATA 46, 67, 89, 13, 56, 90, 45, 66
For Grade 7
Answer:
Range = 77
Step-by-step explanation:
1. Reorder all the values in your data set from low to high.
13, 45, 46, 56, 66, 67, 89, 90
2. Subtract the lowest number from the highest number.
90 - 13 = 77
A function f is bounded above if there is some number B that f(x) can never exceed. The exponential function base e shown here is not bounded above. Is the logarithmic function base e bounded above? If so, find a bounding number. If not, explain why.
According to the question, the function f(x) is bounded with constant number. And the exponential function base e is not bounded. Similarly, logarithmic function base e is also not bounded.
Bounded values can be calculated with the help of asymptotes namely, vertical, horizontal and oblique. The vertical, horizontal and oblique asymptotes are constant values which grows the values of the function f(x) without bound.
A basic logarithmic function is a function with no horizontal shift as well as no vertical shift. All logarithmic function passes through a constant points and touches the horizontal axis which results into asymptotes. It either increases from left to right, or decreases from left to right.
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A basketball team has won 0.625 of its games. If the team has played 24 games, how many games has the team won?
Answer:
It has won 15 games.
Step-by-step explanation:
24*.625=15
answer please will mark brainliest
The Volume of the given Hemisphere is 1071.8 cm³ rounded to 1 decimal place whose radius is 8cm
The Volume of the sphere is given by the formula 4/3 πr³
The volume of hemisphere is half of sphere
So, The volume of hemisphere is 2/3 πr³
From the given figure it is clear that the radius of the hemisphere is 8cm
Here, we will use the value of π as 3.14 and not 22/7
So, Substituting the values in the formula of Volume of hemisphere
the Volume of hemisphere =2/3 π (8)³
=2/ 3× 3.14 × 512
= 1071.7867 cm³
Hence, the Volume of hemisphere 1071.7867 cm² or 1071.8 cm² rounded to 1 decimal place whose radius is 8cm
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Ricardo went jet skiing while on vacation. The jet ski rental cost a flat rate of $25, plus $17.75 per hour. Ricardo had $102.17. How much did he have left after 3 hours of jet ski riding?
Answer:
Step-by-step explanation:
For 3 hours it cost him $78.25
25 + 17.75 + 17.75 + 17.75= 78.25
He had left from $102.17 subtract from $78.25 is $23.92
Answer:
23.92
Step-by-step explanation:
17.75x3=53.25
53.25+25=78.25
102.17-78.25=23.92
Simplify each rational expression. State any restrictions on the variables.
49-z² / z+7
According to the question, the given rational expression can be simplified and as shown below:
Rational expression = [tex]\frac{49-z^{2} }{z+7}[/tex]
To simplify the given rational expression, calculate the factors of the numerator as well as denominator. And later divide it from each other. These expressions are also called as polynomial expressions.
Rational expression = [tex]\frac{(7-z)(7+z)}{z+7} =\frac{(7-z)}{1} =7-z[/tex]
Therefore, final expression of the given equation is [tex]7-z.[/tex]
What is polynomial expression?
Polynomial expression are those equation whose highest degree is two. It is also called as quadratic equation. And it is simplified by performing the factors on the given expressions.
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HELP ME QUICK!!!!! i don't understand
2x+5=13
-21=7-4y
m/6-3=8
-4=d+3/5
4. Find the equation of a line that goes through the points (8, -9) and (-4, 15).
Answer:
Find the equation of a line that goes through the points (8, -9) and (-4, 15). ... with (x₁, y₁ ) = (8, - 9) and (x₂, y₂ ) = (- 4, 15).
Step-by-step explanation:
source: gogle
Find the equation of a line that goes through the points (8https://brainly.com › Mathematics › Middle School ©
March 21, 2020 — Find the equation of a line that goes through the points (8, -9) and (-4, 15). ... with (x₁, y₁ ) = (8, - 9) and (x₂, y₂ ) = (- 4, 15).
I Doublecheck it
Find the distance between each pair of point
Answer:
6
Step-by-step explanation:
What is the quotient of (x³+2 x²-x+6) / (x+3) ?
(A) x²+5x+14
(B) x²-x+2
(C) x³+5x²+14x+42
(D) x²+x-2
The quotient of (x³+2 x²-x+6) / (x+3) is (B) x²-x+2.
What is the Polynomial long division method?Polynomial long division is an algorithm in algebra for dividing a polynomial by another polynomial of the same or lower degree, which is a generalized version of the well-known arithmetic technique known as long division. It is simple to do by hand because it divides an otherwise complex division problem into smaller ones. It is sometimes faster to use a shorthand version called synthetic division, which requires less writing and fewer calculations. Polynomial short division (Blomqvist's method) is another abbreviated method.So, find the quotient of (x³+2 x²-x+6) / (x+3) using the Polynomial long division method:
(x³+2 x²-x+6) / (x+3) ⇒ R = 0 ⇒ quotient = x²-x+2As, (x²-x+2)(x+3) gives (x³+2 x²-x+6).Therefore, the quotient of (x³+2 x²-x+6) / (x+3) is (B) x²-x+2.
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You buy a 15-pound bag of bird seed. You fill a bird feeder with 5 pounds of seed. After 3 2 1/4 days, you add another pounds of seed to the feeder. How many pounds of bird seed are left in the bag?
Answer:
Step-by-step explanation:
5 pounds