The probability of being dealt in a queen is 1/13.
What is probability?Probability is a branch of mathematics that deals with numerical descriptions of how likely an event is to occur or how likely a proposition is to be true. The probability of an event is a number between 0 and 1, where 0 indicates the event's impossibility and 1 indicates certainty.To find the probability:
Total number of cards = 52Number of cards om 52 deck of cards = 4So, P = favourable events / total number of eventsThen, P = 4/52Probability = 1/13Therefore, the probability of being dealt in a queen is 1/13.
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For the function g defined above, a is a constant and g(4)=8. What is the value of g(-4)?
The value of g(-4) is 8.
A set of inputs and outputs that are connected to one another in some way is referred to as a relation. We refer to the relations as a function when each input results in a single output. However, you must be certain that no input leads to more than one output in order to determine if a relation is a function or not.
Only when each element of a nonempty set M has a single range to a nonempty set N is a function a relation.
g(x) = ax^2 + 24
⇒ g(4) = a (4)^2 + 24
⇒ 8 = 16a + 24
⇒ 8 − 24 = 16a
⇒ −16 = 16a
⇒ a = −1
Since, g(−4) = a(−4) ^2 + 24
∴ g(−4) = 16(−1) + 24
⇒ g(−4) = 8
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Write an expression for the area of a rectangle if the length is 2x^2-3x+1 and the width is x-2.
The expression for the area of a rectangle is [tex]2x^3-7x^2+6x-2[/tex].
It is given in the question that the length of the rectangle is [tex]2x^2-3x+1[/tex] and width is (x - 2).
We have to find a expression for the area of a rectangle.
We know that,
Area of a rectangle = l * b
Where,
l represents the length of the rectangle
b represents the breadth of the rectangle
Hence, using the data given in the question, we can write,
Area of a rectangle = [tex](2x^2-3x+1)*(x-2)[/tex]
Area of a rectangle = [tex](2x^3)+(-4x^2)+(-3x^2)+(6x)+(-2)[/tex]
Area of a rectangle = [tex]2x^3-7x^2+6x-2[/tex]
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Carls weight w is 76. 12kg tanya says that w ≥ 76.12 is tanya correct
Answer:
Step-by-step explanation:
If Carl weighs 76.12kg, and Tanya says w (weight) is ≥ 76.12 kg (greater than or equal to), Carl is equal to 76.12, meaning Tanya is Correct.
Camille wants to crochet a blanket for her new baby cousin. her pattern calls for 900 yards of thick, soft wool. she already has 200 feet of wool left from another project. at the craft store, she notices that each ball has 500 feet of wool. how many balls of wool should she buy?
Camille need 5 balls of wool to crochet a blanket for her new baby cousin.
Unitary Method:
Unitary method is the method in which the value of a unit quantity is first calculated to get the value of any quantity is called the unitary method.
Given,
Camille wants to crochet a blanket for her new baby cousin. her pattern calls for 900 yards of thick, soft wool. she already has 200 feet of wool left from another project. at the craft store, she notices that each ball has 500 feet of wool.
Here we need to find the number of wool balls she need.
Let us consider x be the amount of wool balls she need.
Then,
wool needed - 900 yards
We know that,
1 yard = 3 feet
Then 900 yards will be equal to
=> 900 x 3 = 2700 feet
Now, She has - 200 feet
And we know that,
each ball at store contains - 500 feet
So it can be written as,
=> 200 + 500x = 2700
=> 500x = 2500
=> x = 2500/500
=> x = 5
Hence she need to buy 5 balls of wool from the store to get the required length of wool.
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From nine cards numbered 1 through 9, two cards are drawn. consider the selection and classification of the cards as odd or even as an experiment. how many sample points are there for this experiment?
Probability= 5/9
Even cards = 2,4,6,8
Odd cards = 1,3,5,7,9
The number of ways of choosing one odd and one even number is 5C1 * 4C1
( 5!/ 1!* 4!) * (4!/1! * 3!)
5* 4= 20
Total number of ways of choosing 2 cards out of 9 = 9C2
9!/ 2! * (9-2)!
= 9!/ 2! * 7!
= 9*8/2
= 9 *4= 36
Thus, Probability is = 20/ 36
= 5/9
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Find the average rate of change for the function f(x)=3^x+17
Using the intervals x=3 to x=6
Answer:
234
Step-by-step explanation:
the average rate of change of f(x) in the closed interval [ a, b ] is
[tex]\frac{f(b)-f(a)}{b-a}[/tex]
here [ a, b ] = [3, 6 ] , then
f(b) = f(6) = [tex]3^{6}[/tex] + 17 = 729 + 17 = 746
f(a) = f(3) = 3³ + 17 = 27 + 17 = 44 , then
average rate of change = [tex]\frac{746-44}{6-3}[/tex] = [tex]\frac{702}{3}[/tex] = 234
Evaluate the expression 9^2 the two is small and on top of the nine
Answer:
81
Step-by-step explanation:
That's the squared symbol, it means to multiply the number by itself x amount of times. 9 times 9 = 81
Is the statement the solution set of a linear system involving variables is a list of numbers that makes each equation in the system a true statement when the values are substituted for respectively true or false? explain.
False, because The singles answer fits the description. All potential solutions are included in the solution set.
There might not be a solution to a set of linear equations that makes sense. False. There is at least one answer for a consistent system.What makes up a linear system's solution set?
The answer to a system of equations is a set of values for a variable that concurrently satisfy each equation. Finding every feasible combination of the variable values that make up the system's solutions is necessary to solve an equation system.Is it true that a linear system's existence and uniqueness are two key issues? False or true?
In a linear system, existence and uniqueness are crucial considerations. Both conceptually and practically, it is frequently essential to know whether a system has a solution (exists) and, if it does, whether this solution is the only one available (uniqueness).Learn more about linear system.
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The temperature in Gainesville is 9°C colder than the temperature in Elmwood. What is the temperature in Gainesville?
The temperature in Gainesville is 11°C.
How to calculate the value?From the information given, the temperature in Elmwood is 20° and the temperature in Gainesville is 9°C colder than the temperature in Elmwood.
Therefore, the temperature in Gainesville will be:
= 20 - 9
= 11°C
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The temperature in Elmwood is 20°C. The temperature in Gainesville is 9°C colder than the temperature in Elmwood
Kevin went shopping for a new scooter. He bought one on sale for 15% off its regular price of $140. If sales tax is 8%, what was the total cost of the scooter?
Answer:
128.52
Step-by-step explanation:
140 × (1-0.15) = 119
119 × 1.08 = 128.52
Answer:
$128.52
Step-by-step explanation:
Firstly to find the price of the scooter, you divide 140 by 100 and then multiply it by 15. The answer is what you subtract from the original price.
15(140/100) = 21
140 - 21 = 119
Now that we have the price of the scooter after the discount, we need to figure out the price of the sales tax. Sales tax is based on the reduced price, so we need to take the same steps as before to find the price. Divide 119 by 100, then multiply it by 8, then add the total to 119.
8(119/100) = 9.52
119 + 9.52 = 128.52
Answer = $128.52
Which expression is equivalent to (4y²) ³ (3y²)?
O 12y8
12y12
192y8
192y12
Answer: It is 192y^8. Just solve each one seperately until the answers match. Reduce the expression to 192y^8. Feel free to message me for an explanation
Answer: C. 192y>8
Step-by-step explanation:
solve each inequality
||x-4|-7|<5
The solution of the inequality is (x > - 8 and x < 2) or (x > 6 and x < 16).
How to find the solution set of an inequalityHerein we find an inequality that involves two absolute values. Absolute values are defined by the following piecewise functions:
|x - a| = x - a for x ≥ a|x - a| = - x + a for x < aNow we proceed to solve the inequality given:
||x - 4| - 7| < 5
- 5 < |x - 4| - 7 < 5
0 < |x - 4| - 2 < 10
|x - 4| - 2 > 0 and |x - 4| - 2 < 10
Case 1: |x - 4| - 2 > 0
|x - 4| > 2
x - 4 > 2 and x - 4 < - 2
x > 6 and x < 2
Case 2: |x - 4| - 2 < 10
|x - 4| < 12
x - 4 < 12 and x - 4 > - 12
x < 16 and x > - 8
The solution of the inequality is (x > - 8 and x < 2) or (x > 6 and x < 16).
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How to solve it??? Which formula to be use. Also which sides would be taken??
The values of x and y are x = 45/7 and y = 42/5
How to determine the values of x and y?To calculate the value of x
Here, we make use of the ratio
AC : BC = AQ : QP
This gives
x : 5 = x + 9 : 12
Express as fractions
x/5 = x + 9/12
Cross multiply
12x = 5x + 45
Evaluate the like terms
7x = 45
Divide by 7
x = 45/7
To calculate the value of y
Here, we make use of the ratio
AB : BC = AP : PQ
This gives
6 : 5 = 6 + y : 12
Express as fractions
6/5 = 6 + y/12
Cross multiply
30 + 5y = 72
Evaluate the like terms
5y = 42
Divide by 5
y = 42/5
Hence, the values of x and y are x = 45/7 and y = 42/5
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3. Solve the formula v + f -e = 2 for e
O Ae-v-f-2
O BC v+f-2
O ce-v-f+2
O De-u+f+2
Answer:
B is the correct answer.
Step-by-step explanation:
Add -2+e to both sides
v + f − e -2+e = 2 -2+e
Which will give you v + f -2 = e.
(MGSE9-12.N.RN.2) Multiply radical expression and write your answer in the simplest radical form. 2√5 (√6 +2). A) 30√2+4√5 B) 2√30+4√5 C) 2√11+4√5 D) 60+4√5
The simplest radical form. 2√5 (√6 +2).
The Simplification form of 2√5 (√6 +2) is B) 2√(30) + 4√5Given that
2√5 (√6 +2)To find
Simplest radical form of 2√5 (√6 +2) = ........?We know that
Simplest radical form is the expression in radical form that, after rationalizing the denominator, leaves no more square roots, cube roots, fourth roots, or other roots to find
So, according to the question
We have
2√5 (√6 +2)To find the simplest radical form of the given problem, we must first solve those brackets, then multiply under root numbers in root and without root numbers with without root numbers.
So now, let's follow that process
We will get,
2√5 (√6 +2) = 2√5 ×√6 +2√5 ×2
= 2√(5×6) + 2×2×√5
= 2√(30) + 4√5
So the radical form of that given problem is B) 2√(30) + 4√5
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Rewrite the polynomial in descending order. Identify the degree of the polynomial, the leading term, and the leading coefficient.
12 - 6b^6 + 4b - 3b^4
Answer:
Solution
12-6b6+4b-3b4, find Polynomial in descending order
Solution:
The Given Polynomial =12-6b6+4b-3b4
Descending order is basically when its terms are arranged in order from largest degree to smallest degree
Descending order of polynomial =-6x6-3x4+4x+12
Step-by-step explanation:
ram earns rs. 3500 in a week how much would he earn in 30 days?
Answer:15,000
Step-by-step explanation: 3500 divided by 7 because there are 7 days in a week= 500 and then 500 times 30 because of the thirty days
Answer:
Given the salary of Ram in 7days is rs.3500
Ram earns in a day = 3500 Divided By 7
= rs.500
Ram earns in 30 days = 500 Multiplied by 30
= rs.15,000
All Done!
If you want to use the sin function in the math library, as x = math.sin(3.14), how should you write the import statement?
We use import math when we want to use the sin function in the math library, x= math. sin(3.14).
Similar to #include header_file in C/C++, that how to import function in python. The import statement brings in code from one module into another program, where modules are files that contain python code, and modules are used to group related code in a program, instead of rewriting the code again, you can reuse the same code in different files. To import code from a module a parameter is to be followed import module name ( where the import word is the keyword and the module name is the module you want to import ).
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distance between points -10,6 and 2, -3
Answer:
15 units
Step-by-step explanation:
calculate the distance d using the distance formula
d = [tex]\sqrt{(x_{2}-x_{1})^2+(y_{2}-y_{1})^2 }[/tex]
with (x₁, y₁ ) = (- 10, 6 ) and (x₂, y₂ ) = (2, - 3 )
d = [tex]\sqrt{(2-(-10))^2+(-3-6)^2}[/tex]
= [tex]\sqrt{(2+10)^2+(-9)^2}[/tex]
= [tex]\sqrt{12^2+81}[/tex]
= [tex]\sqrt{144+81}[/tex]
= [tex]\sqrt{225}[/tex]
= 15 units
I cannot figure this out
In a survey of 1094 adults, 83% responded "yes" to the survey question.
How many adults answered "yes"? (round to the nearest whole person as needed)
Answer:
Pretty sure its 909. 83 percent of 1093 is 908.02. If you round it to the nearest person, it is 909
Step-by-step explanation:
c. Write an equation for which every real number is a solution. Choose the correct answer below.
OA. 7(x-2)=2(x-7)
OB. 2(x-7)=2(x-7)
OC. x+2=x+7
solve the equation. (find only the real solutions. enter your answers as a comma-separated list.) 5x2 10x 4
After changing the form the equation becomes 5x (x + 2) = 4.
What is an equation?An is a mathematical statement composed of two expressions joined by an equal sign. An equation is 3x - 5 = 16. By solving this equation, we obtain the value of the variable x as x = 7.We cannot solve the equation as the value of x is not given but we can change its form.
Given equation is 5x² + 10x - 4.
Then,
5x² + 10x - 4 = 05x² + 10x = 45x (x + 2) = 4 (Take 5x as common)Therefore, after changing the form the equation becomes 5x (x + 2) = 4.
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The correct question is given below:
solve the equation. (find only the real solutions. enter your answers as a comma-separated list.)
5x² + 10x - 4
Is 10.32332333... a rational or
irrational number?
Choose the correct answer below.
irrational number
rational number
Answer:
Rational.
Step-by-step explanation:
A rational number is any integer, fraction, terminating decimal, or repeating decimal.
This applies to the listed number.
2y-4+5y=4-3y+5
How to solve this?
Answer:
You would first move all of the y numbers to one side so it should look like this: 2y-4+5y+3y=4+5. Then you would all the numbers that don't have y at the end to the other side: 2y+5y+3y=4+5+4.
Then you would add them all up: 10y=13
So your answer is 10y=13
Step-by-step explanation:
b) The angle of elevation of a tower at a distance of 27 meter from the foot of the tower is 60°, find the height of the tower. Speedy Additional Mathematics - Book VIII 98
The height of the tower is approximately 46.765 feet
Step-by-step explanation:
The given parameters are;
The distance from the foot of the tower where the angle of elevation is
measured = 27 feet
The angle of elevation to the top of the tower from a point 27 feet from the foot of the tower, θ = 60°
Therefore, by trigonometric ratio, we have;
tan 60= the height of tower / distance from foot of tower
[tex]\sqrt{3}[/tex]= height of tower /27
1.73205 *27 = height of tower
46.765 feet is the height of tower
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PLSSSS HELPPPPPP IM STUCK ON THIS
Answer:
1. 15.17ft 2. 18.57ft 3. 22.41%
Step-by-step explanation:
1. What was the length of one side of the garage originally?
Area of a square = s × s which is also equal to s²
s means one side of the square, as it is a square, all sides are equal.
so
230 = s²
s = √230 = 15.17
2. What is the length of one side of the garage now?
The original area of the garage was 230ft²
But now, the area has increased by 50%
Increased Area = 230 × 50% = 115ft²
Total Area = 230 + 115 = 345ft²
In the question, they are saying that after the area is increased, the garage is still a square which means that the side lengths have equal values.
Area = s²
345 = s²
s = √345 = 18.57
3. What was the percentage increase of the length of one side?
Length : Percentage
15.17 : 100
18.57 : x
When the length of one side was 15.17, the percentage was 100% as that is what the original length was, we can use ratio and proportion to find what the percentage will be when the length is 18.57.
Now cross multiply
18.57 × 100 = 15.17x
1857 = 15.17x
1857/15.17 = x
x = 122. 41
The new percentage is 122.41%
The difference between both percentages is:
122.41 - 100 = 22.41
And 22.41 is the percentage increase.
The recipe calls for 1 1/2 lbs. of ground beef. how much ground beef will jenny need to make enough meat loaf for everyone?
Total amount of ground beef is 7.5 lbs
What is unitary method?The unitary method is a technique for solving a problem by first finding the value of a single unit, and then finding the necessary value by multiplying the single unit value.
a) The recipe for the meat loaf used by Jenny can serve a total of 8 people.
Total people = 40
Number of each ingredient
= 40 / 8
= 5
b) As, recipe contains 1 1/2 lb (1.5 lbs) of ground beef,
So, Total amount of ground beef = 1.5 lbs * 5 = 7.5 lbs
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Your question is incomplete, probably the complete question/missing part is:
Jenny is throwing a surprise birthday party for her best friend Katie. She has decided to make Katie’s favorite dish, meat loaf. There will be a total of 40 people at the party. Answer the following questions:
• The recipe says it serves 8 people. By what number should Jenny multiply each ingredient to make enough meat loaf for everyone? 5
• The recipe calls for 1 1/2 lbs. of ground beef. How much ground beef will Jenny need to make enough meat loaf for everyone?
What is the converse of the following statement?
"If cows make milk, then chickens make eggs. "
Answer:
"If chickens make eggs, then cows make milk."
Step-by-step explanation:
Answer: A: If chickens make eggs, then cows make milk.
Step-by-step explanation: Hope that helped
Given g(x) = -5x - 5, find g(1).
Given ~
[tex] \: [/tex]
[tex]\tt \: g(x) = - 5x - 5[/tex]
[tex] \: [/tex]
Now , put the value of x.
x = 1
[tex] \tt \: g(1) = - 5(1) - 5[/tex]
[tex] \: [/tex]
[tex]\tt \: g(1) = - 5-5[/tex]
[tex] \: [/tex]
[tex] \underline{\boxed{ \red{\tt \: g(1) = - 10}}}{\green✓}[/tex]
[tex] \: [/tex]
hope helps ~
The value of g(1) in the function g(x) = - 5x - 5 is - 10.
What is a function?A function can be defined as the outputs for a given set of inputs.
The inputs of a function are known as the independent variable and the outputs of a function are known as the dependent variable.
Given, A function g(x) = -5x - 5.
Now to obtain the value of g(1) we'll simply replace x with 1.
∴ g(1) = - 5(1) - 5.
g(1) = - 5 - 5.
g(1) = - 10.
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