The probability that a single card drawn from a standard deck of cards is either an 8 or a heart is 4/13.
Probability of an event E denoted by P(E) is defined as (number of favorable outcomes )/( total number of outcomes).
For example : the probability of getting Head in single toss of an unbiased coin. P(H)=1/2.
According to the given question
Total number of cards in a standard deck of cards is 52.
There are 4 suit in a deck each having 13 card each.
number of 8 card in a deck = 4
Number of hearts in a deck = 13-1=12 (-1 because 8 of heart is counted before.)
number of favorable cases of getting either an 8 or a heart is 4+12=16.
The probability of getting either an 8 or a heart is [tex]\frac{16}{52} =\frac{4}{13}[/tex].
Therefore , the probability that a single card drawn from a standard deck of cards is either an 8 or a heart is 4/13.
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10 more than 10 times a number is -10. Group of answer choices
A. -2
B. 2
C. 0
D. 10
Write the number
as a fraction 0.233333
1/3 is equal to 0.3333333...
1/10 is equal to 0.1
If you subtract the two you will get a fraction equal to 0.23333333...
[tex]\frac{1}{3} - \frac{1}{10} \\\\[/tex]
Get a common denominator
[tex]= \frac{10}{30} - \frac{3}{30}[/tex]
Then combine them
[tex]= \frac{10-3}{30}\\\\= \frac{7}{30}[/tex]
Your answer is [tex]\frac{7}{30}[/tex]
Can someone help me with this problem? Thank you!
Answer:
122 degrees
Step-by-step explanation:
43 + 15 = 58 - 180 = 122
I need help with this math question. The question and answers are in the picture.
Answer: f(x)=x^2+2x+1 and g(x)=-x^2+1 ==> 1st option
Step-by-step explanation:
Both are quadratic equations: -x^2 or x^2
Blue graph: x^2 since it's facing up
f(x)=(x-b)^2
Vertex: When x=-1, y=0 ==> 0=(-1+b)^2
0=-1+b
b=1
f(x)=(x+1)^2
f(x)=(x+1)(x+1)
f(x)=x^2+x+x+1
f(x)=x^2+2x+1
Red graph: -x^2 since it's facing down
g(x)=-x^2+b
Vertex: When x=0, y=1 ==> 1=(0)^2+b
1=0+b
b=1
g(x)=-x^2+1
f(x)=x^2+2x+1 and g(x)=-x^2+1 ==> 1st option
Determine the value of x.
A) 2 squareroot of 3.
B) 12
C) 6 squareroot of 3.
D)12 squareroot of 3.
Answer: [tex]6\sqrt{3}[/tex]
Reason:
For any 30-60-90 triangle, the long leg is exactly [tex]\sqrt{3}[/tex] times as long compared to the short leg.
In other words,
[tex]\text{long leg} = (\text{short leg})*\sqrt{3}[/tex]
In this case, the short leg is 6 units long. The short leg is always opposite the smallest angle 30 degrees. Once again, this only applies to 30-60-90 triangles.
E=mo^2 solve for m ...............................................
The expression for m from the given equation is m = E/o^2
Subject of formulaThe subject of formula is a way of representing a variable with another variable
Given the equation
E = mo^2
We are to make m the subject of the formula. To do that, we will divide both sides of the equation by o^2 to have:
E/o^2 = mo^2/o^2
E/o^2 = m
Swap
m = E/o^2
Hence the expression for m from the given equation is m = E/o^2
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If f (x) = 3 x squared and g (x) = 4 x cubed + 1, what is the degree of (f circle g) (x)?
2
3
5
6
The correct answer for given question is 6.
If every element of a non-empty set X has only one image or range to a non-empty set Y, a relation 'f' is said to be a function.
Or
If 'f' is the function from X to Y and (x,y) f, then f(x) = y, where y is the image of x and x is the preimage of y under function f. It is written as;
f: X → Y.
In accordance with the conditions stated in the question:
f(x) = 3x^2 and g(x) = 4x^3 + 1
The composition of functions is defined as fog(x) = f(g(x)), where the input for the function f(x) is the actual expression of the function g(x) in terms of "x":
f(g(x)) = f(4x^3 + 1)
f(g(x)) = 3(4x^3 + 1)^2
f(g(x)) = 3(4x^3 + 1) (4x^3 + 1)
f(g(x)) = 3(16x^6 + 8x^3 + 1)
f(g(x)) = 48x^6 + 24x^3 + 3
Therefore, the degree of the given expression is 6 (the highest power of the variable ‘x’)
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What is the probability of rolling either a 5 or a 6 using a normal six-sided die?
1/3 is the probability of rolling either a 5 or a 6 using a normal six-sided die.
Define probability?Probability can be defined as the ratio between the number of favorable outcomes and the total number of outcomes of an event.
Given:
Six-sided dice rolled once
Let n be the number of outcomes
let x be the number of favorable outcomes
We know that,
[tex]Probability=\frac{x}{n}[/tex]
When the six-sided dice roll, The possible outcomes are,
[tex]\{1,\;2,\;3,\;4,\;5,\;6\}[/tex]
Therefore,
[tex]Number\;of\;outcomes,\;n=6[/tex]
[tex]Probability\;rolling\;5\;is\;\frac{1}{6}[/tex]
[tex]Probability\;rolling\;6\;is\;\frac{1}{6}[/tex]
Therefore, Probability of rolling either 5 or 6 is,
[tex]P(5\;or\;6)=\frac{1}{6} +\frac{1}{6}[/tex]
[tex]P(5\;or\;6)=\frac{2}{6}[/tex]
[tex]P(5\;or\;6)=\frac{1}{3}[/tex]
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What is the absolute value of Point B labelled on the number line?
A number line with point A at coordinate negative 2.2, point B at coordinate negative 1.6, and point C at coordinate 1.2.
Drag and drop the answer into the box to match the correct statement.
Answer:
1.6
Step-by-step explanation:
| -1.6 | = 1.6
simplify to a single power of 4
Answer: 4^15
Step-by-step explanation:
(4^3)^5=
4^(3*5)=4^15
solve the following if you're good at math
Answer:
1. 5h
2. 4h
3. h
4. ht
5. hx (x + 1)
Step-by-step explanation:
what is 20 divided by 5 times 20 plus 10
Answer:
Step-by-step explanation:
20 divided by 5x20+10=90
Answer:
90
Step-by-step explanation:
this is easiest if you know your order of operations PEMDAS so there are no parenthesis or exponents so next is multiplication and division. so 20/5= 4 then 4*20 is 80 and 80+10=90.
here's an easy way to remember PEMDAS
Please Excuse My Dear Aunt Sally
ann is 4 years older than Julie. 4 years ago, ann was twice as old as julie. find their present ages
The present ages of Ann and Julie are 12 years and 8 years, respectively.
What are the current ages of Ann and Julie?
Let x, y be the current ages of Ann and Julie, whose features are synthetized in the following linear equations:
Ann is 4 years older than Julie
x = y + 4
x - y = 4 (1)
4 years ago, Ann was twice as old as Julie
x - 4 = 2 · (y - 4)
x - 4 = 2 · y - 8
x - 2 · y = - 4 (2)
Now we proceed to determine the ages of Ann and Julie by solving the system of linear equations: (x, y) = (12, 8)
The present ages of Ann and Julie are 12 years and 8 years, respectively.
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Values that are perfect squares? Which ones are
1. 64
2. 32
3. 18
4. 100
Answer:
64,100
Step-by-step explanation:
64,100are the values that are perfect square
Mark me as brainlist
Round 829.9 to the nearest whole number
Answer:
The nearest whole number is 830.
We have a three digit - 829.9.
We have to convert it into nearest whole number.
Step-by-step explanation:
m/PQS = (3x-3)* and m/RQS = (x+19)". Find the value of x.
Answer:
M/paws= (3x-3) and m/rqs
=(x+19).
the value of x is
Step-by-step explanation:
F(x)=-6x-3 if the input is -8, what is the output
Answer:
F(x) = -6x - 3
F(x) = -6(-8) - 3
F(x) = 48 - 3
F(x) = 45
In maryland, the sales tax is 6%. what is the tax, in dollars and cents on a 32.74 purchase( round to the nearest cent) Show your work
The tax on the product will be $1.964.
How to compute the value?It should be noted that from the information, the sales tax is 6% and the price of the product is $32.74.
Therefore, the value of the tax will be:.
Tax percentage × Price
= 6% × $32.74
= 0.06 × $32.74
= $1.9643
Therefore, the tax on the product will be $1.964.
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aiden has $64 to spend at the carnival he must pay $16.50 to get in and then $1.50 for each ride how many rides can aiden ride
Answer: 31 times
Step-by-step explanation:
Answer:
$31.6666667
Step-by-step explanation:
$64 - $16.50 =$47.5
$47.5÷$1.50 =$31.6666667
i used a calculator
Determine the domain of the function:
3x²-2
f(x) = { 10x - 12
X
3
-10
1
7≤x≤15
Answer:
18
Step-by-step explanation:
value of x 10
10x-12=10*10-12
=32
What measure in linear-regression analysis provides the percent of variation in the dependent variable (y) that is explained by the regression equation?
The measure in linear-regression analysis that provides the percent of variation in the dependent variable as explained by the regression equation is the Coefficient of Determination.
What is the Coefficient of Determination?This is a measure that allows us to see just how much the variation in the dependent variable, is as a result of the independent variable and is therefore explained by the regression equation.
The Coefficient of Variation is very important because it helps to show the usefulness and accuracy of the regression equation model.
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HELP ASAP!! I DONT GET IT
Answer:
16
Step-by-step explanation:
Given that the total number of seats in an auditorium is modeled by the following equation:where x represents the number of rows of seats.We are to find the number of rows are there in the auditorium with a total of 416 seats.So, we are to find the value of x if f(x) = 416.
Since the number of rows cannot be negative, so the required number of rows in the auditorium is 16.Thus, the number f rows is 16.
A dressmaker needs to cut 18-inch pieces of ribbon from rolls of ribbon that are 9 feet in length. How many 18-inch pieces can the dressmaker cut from 5 of these rolls of ribbon? Before you try that problem, answer the question below. How many inches of ribbon does the dressmaker have, in total?
Answer:
30 pieces
540 inches of ribbon in total
Step-by-step explanation:
1 foot = 12 inches
9 feet of ribbon = (9x12) 108 inches of ribbon (1 roll)
5 x 108 = 540 inches of ribbon (in total)
540 / 18 = 30
30 pieces of ribbon
Find an equation of the tangent line to the curve at the given point. y = ex cos(x) , (0, 1)
The equation of the tangent line to the curve at the given point is given by: y = x + 1.
What is the equation of a line to the curve?A line's equation has the standard form ax + by + c = 0. Here, the variables are x and y, the coefficients are a and b, and the constant term is c. It is a first-order equation with the variables x and y. The coordinates of the point on the line shown in the coordinate plane are represented by the values of x and y.Now,
Given:
Equation of line: y = [tex]e^{x}[/tex] cos(x)Given point = (0,1)To find: Equation of a tangent line through the given point.
Finding:
y = [tex]e^{x}[/tex] cos(x)
By product rule of differentiation, y' = [tex]e^{x} sin(x) +e^{x} cos(x)[/tex]
For x = 0, y' (0) = 1 (0) + 1( 1) = 1 = slope of the line
Now, we know: equation of a line is given by:
[tex](y-y_0)=m(x-x_0)[/tex]
For [tex]x_0 = 0 And y_0 = 1[/tex], The equation of the tangent line will be:
=> y - 1 = 1 (x - 0)
=> y - 1 = x
=> y = x + 1
Hence, The equation of the tangent line to the curve at the given point is given by: y = x + 1.
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two ships leave a harbor at the same time. the first ship heads north at 20 miles per hour, and the second ship heads west at 15 miles per hour. write an expression that gives the distance d between the ships after t hours.
The expression that gives the distance, d, between the ships after t hours is d = 25t
Calculating DistanceFrom the question, we are to write an expression that gives the distance, d, between the ships after t hours
First, we will determine the distance the ships have traveled after t hours
Using the formula,
Distance = Speed × Time
Thus,
The first ship would have traveled
20 × t miles
= 20t miles
The second ship would have traveled
15 × t miles
= 15t miles
Using the Pythagorean theorem,
The distance, d, between the ships after t hours is
d² = (20t)² + (15t)²
d² = 400t² + 225t²
d² = 625t²
d = √(625t²)
d = 25t miles
Hence, the expression that gives the distance, d, between the ships after t hours is d = 25t
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Louis makes a model of a plane.
The wingspan of the model is 50 centimetres.
The wingspan of the real plane is 80 metres.
(a) Work out the scale of the model.
Give your answer in the form 1: n
50180
The length of the real plane is 72 metres.
(b) Work out the length of the model.
Give your answer in centimetres.
Natalie combines 8.54 liters of red paint with 8.31 liters of blue paint to make purple paint. She pours the paint equally into 2 containers, and has 1.13 liters of paint left over. How many liters of paint are in each container?
7.86 liters of purple paint in each container.
Given data from the given problem:volume of red paint is 8.54 liters.
volume of blue paint is 8.31 liters.
Number of container taken is 2 container.
Paint left after equally poured in 2 container.
and we have to find how many liters of paint are in each container.
Volume of RED Paint + Volume of BLUE Paint = Volume of PURPLE Paint
8.54 liters + 8.31 liters = 16.85 liters.
(16.85/2) - (1.13/2) = 15.72/2
=7.86 liters
7.86 liters of purple paint in each container.
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It will take at least 360 points for Kiko's team to win the math contest. The scores for Kiko's teammates were 94,82, and 87, but on of Kiko's teammates lost 2 of those points for an incomplete answer. How many points must Kiko earn her team to win the contest?
Please explain :)
Answer:
Step-by-step explanation:
The points up to now are
94+82+87−2=261
Explanation:
Kiko must make up the difference:
360−261=99
points.
Levi brought a bag containing 50 small candies. He starts eating the candies at a rate of 4 candies per minute. Answer the questions below regarding the relationship between the number of minutes eating and the number of candies left in the bag.
Whoever answers correctly with an detailed explanation will get Brainliest!!!
The independent variable x ,represents minutes and dependent variable is the number of candies eating by Levi because the eating of candies depends on the minutes.
A function relating these variable is Z(x)=4x
So Z(7)=28 meaning In 7 minutes Levi ate 28 candies and number of candies left in the bag is 22.
As given,
Independent variable=x
Dependent variable=Z(x)
Function Z(x)=4x
So, Z(7)=4×7
=28
Candies left in bag =50 -28
=22
Therefore, function relating independent variable x with Z(x)=4x and Z(7)=28 represents number of candies ate by Levi in 7 minutes ,number of candies left in the bag is 22.
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I need help , please quickly!
Choose the associated property
The Associative property is not displayed by any of the given equations.
The associative property of several binary operations in mathematics states that the outcome will not change if the parenthesis in an expression are rearranged.
The order in which the operations are carried out within an expression that has two or more instances of the same associative operator in a row doesn't matter as long as the order of the operands is left untouched.
Examples of associative property :
[tex]{\displaystyle {\begin{aligned}(7+8)+1&=7+(8+1)=9\,\\5\times (3\times 7)&=(5\times 3)\times 7=24.\end{aligned}}}[/tex]
The parentheses were rearranged on each line, but the expression values were left alone. It can be argued that "addition and multiplication of real numbers are associative operations" because this is true for addition and multiplication of all real numbers.
Here 8=8+0 displays additive identity property.
10×1=10 displays multiplicative identity
5+0=5 displays displays additive identity property.
[tex]5\times \frac{1}{5}=1[/tex] displays multiplicative inverse property.
[tex]3+\frac{3}{4} =3+\frac{3}{4}[/tex] displays reflexive property.
Hence no equation displays associative property.
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