The probability of not getting 6 at all is 11/36
Define probability.The term "probability" is most commonly used to refer to the likelihood that a specific event (or set of events) will occur, expressed as a linear scale from 0 (impossibility) to 1 (certainty), or as a percentage between 0 and 100%. Statistics is the study of events subject to probability.
Given,
A die is rolled 2 times
6 was on the first roll, but there was no 6 on the second,
6 came up on the second roll but not the first.
2 sixes
A) It is evident that 1/6 of the time you will roll a six.
B) There is a 5/6 chance of not getting a six on a single roll.
1/6x5/6 + 5/6x1/6 + 1/6x1/6
= 5/36 + 5/36 + 1/36
= 11/36
The probability of not getting 6 at all is 11/36
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what is 5 divided by 1 over 3
Answer: 15 !
Step-by-step explanation:
Change the division sign to a multiplication sign and reverse the fraction.
5 x 3/1 = 15
Estimate 29.25 + 41.06
And Exact answer
Step-by-step explanation:
70.31
hope it's helpful
Answer:
Step-by-step explanation:
no
What is the quotient of 7 over 8 divided by 2 over 5?
Answer:
2 3/16
Step-by-step explanation:
It's simple math :D
NOVEMBER QUOTE!
Ooo! It's fall and thanksgiving time! I gotta get prepared for Thanksgiving and so my friends will come over! Fun! - Ash the Fox
(sorry that ones so long- ;-;)
domain of "-x^4-x^3+3x^2+2x+6"
The domain of the given function is -∞ < x < ∞.
What is a domain?The range of values that we are permitted to enter into our function is known as the domain of a function. The x values for a function like f make up this set (x). A function's range is the collection of values it can take as input.Consider the function y = f(x), which has the independent variable x and the dependent variable y. A value for x is said to be in the domain of a function f if it successfully allows the production of a single value y using another value for x.So, the function is:
-x⁴-x³+3x²+2x+6Now, the domain of the given function is:
The set of input or argument values for which the function is actual and defined is known as the function's domain.Neither the function's domain constraints nor its undefined points exist.The domain will therefore be -∞ < x < ∞.
Therefore, the domain of the given function is -∞ < x < ∞.
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Kelly went to a store to purchase a coffee pot. She will use a coupon for 20% off. She can calculate the cost before sales tax using the following expression, where c represents the original cost of the coffee pot.
c−0.2c
Which other expression could Kelly use to calculate her cost before sales tax?
Answer:
0.2c-c
Step-by-step explanation:
help with this math problem
The solution of the linear equation:
(2x + 6)/5 = 4x - 3
is x = 7/6
How to solve the equation?
Here we have the following equation:
(2x + 6)/5 = 4x - 3
To solve this, we need to isolate x in one of the sides of the equation, we can start by multiplying both sides by 5.
2x + 6 = 5*(4x - 3)
Expanding the right side we get:
2x + 6 = 20x - 15
Now you can see that this is a simple linear equation, now we need to group like terms:
6 + 15 = 20x - 2x
21 = 18x
Now we can divide both sides by 18 to get:
21/18 = x
Finally, if we divide both numerator and denominator of the fraction by 3, we get:
21/3 = 7
18/3 = 6
Then 21/18 = 7/6
Finally, we conclude that the solution is:
x = 7/6
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he types at a rate of 30 words per minute is this stament a function or not a function
Solve for x.
x/2 + 1 = √3
The solution of x when solving x/2 + 1 = √3 is :
x is 2√3 - 2 .
What is the solution of x?Find the value of x that would make the equation you see true is what it means to "solve for x." Consider the following formula: x + 1 Equals 3. If you were to attempt to solve it, you would need to identify a value for x such that it yields three when one is added.
Here in the question given equation ,
x/2 + 1 = √3
To find solution,
we have to subtract 1 from LHS and RHS of equation,
⇒ x/2 + 1 - 1 = √3 - 1
⇒ x/2 = √3 - 1
Next multiply both sides by 2
2( x/2) = 2(√3 -1)
By simplifying both sides we get,
x = 2√3 - 2
So the value of x = 2√3 -2.
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g(x) = x ³ +5x
h(x) = x +5
find g(x) + h(x)
Answer:
[tex]g(x) + h(x) = x^3 + 6x + 5[/tex]
Step-by-step explanation:
We are told that:
[tex]g(x) = x^3 + 5x[/tex]
[tex]h(x) = x + 5[/tex],
and we are asked to find an expression for [tex]g(x) + h(x)[/tex].
In order to find the expression for [tex]g(x) + h(x)[/tex], we have to simply add the expressions of [tex]g(x)[/tex] and [tex]h(x)[/tex] together:
[tex]g(x) + h(x)[/tex]
= [tex]x^3 + 5x + x + 5[/tex]
= [tex]x^3 + 6x + 5[/tex]
What sentence represents this equation?
8=17-2
8 is the same as 17 decreased by a number
08 is the same as a number decreased by 17.
O A number is the same as the difference of 17 and 8
O 17 decreased by 8 is the same as a number.
The sentence which represents the equation [tex]8\frac{3}{4} = 17-x[/tex] is First Option (i.e. [tex]8\frac{3}{4}[/tex] is the same as the 17 decreased by a number).
What is a number sentence?
A mathematical statement made up of numbers and symbols is called a number sentence. The sentences illustrate many mathematical operations, including addition, subtraction, multiplication, and division.
Given, [tex]8\frac{3}{4} = 17-x[/tex]
where, [tex]x[/tex] is a number and ([tex]17-x[/tex]) represents [tex]17[/tex] is decreased by a number [tex]x[/tex]
And, [tex]8\frac{3}{4}[/tex] will be equal to the [tex]17[/tex] is decreased by a number [tex]x[/tex].
Therefore, the required answer choice will be the first option i.e. [tex]8\frac{3}{4}[/tex] is the same as [tex]17[/tex] decreased by a number.
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Use the diagram below for the expression x^2+10x+6 to answer the following questions?
What value needs to be added to x^2+10x+6 to complete the square?
Using your answer above rewrite the perfect square trinomial as a squared binomial?
The value needs to be added to x²+10x+6 to complete the square is 19.
What is Perfect square trinomials?Perfect square trinomials come in the form a² + 2ab + b², which is equal to (a + b)².
In the presented trinomial, we can immediately find that a = x, and b² = c,
We know that a = x, and , 2ab = 2bx.
Now, 2bx and 30x are corresponding terms, 2bx = 30x.
Take the coefficient of x = 10
Divide by 2
10/2 =5
Then Square it
5 x 5=25
Add this to make a perfect square trinomial;
x² + 10x + 25
In the given equation we need to add 19 to make the perfect square trinomial; x² + 10x + 25.
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Help QUick Help I'm begging Help pls!!!!!!!!!!!!!!
Brainliest
Our school flag is a rectangle. We are changing to a new rectangular flag design. The length of the new flag is 20% greater than the length of the old flag, and the width of the new flag is 10% less than the width of the old flag, The old school flag is 25 square feet. What is the area of the new flag?
Answer: Hence the answer is 27 square feet.
Please look at the images for more details.
Answer:
27 square feet
Step-by-step explanation:
Define the variables:
Let w be the width of the old flag.Let l be the length of the old flag.To increase a number by a certain percent, divide the percent by 100, add it to 1, then multiply the original number by this number.
If the length of the new flag is 20% greater than the length of the old flag:
[tex]\implies \textsf{Length}=\left(1+\dfrac{20}{100}\right) \timesl \times l=1.2l[/tex]
To decrease a number by a certain percent, divide the percent by 100, subtract it from 1, then multiply the original number by this number.
If the width of the new flag is 10% less than the width of the old flag:
[tex]\implies \textsf{Width}=\left(1-\dfrac{10}{100}\right) \times w =0.9w[/tex]
[tex]\boxed{\textsf{Area of a rectangle}=\sf width \times length}[/tex]
Therefore, given the area of the old flag is 25 ft²:
[tex]\implies wl=25[/tex]
To find the area of the new flag, substitute the expressions for width, length and wl into the formula for area of a rectangle:
[tex]\begin{aligned}\textsf{Area of new flag}&=\sf width \times length\\&=0.9w \times 1.2l\\&=0.9 \times 1.2 \times wl\\&=1.08 \times 25\\&=27\sf \;\; ft^2\end{aligned}[/tex]
Therefore, the area of the new flag is 27 square feet.
Undergraduates
Graduates
Total
University Data
Receiving
Financial Aid
4222
1879
6101
Not Receiving Total
Financial Aid
3898
731
4629
8120
2610
10730
If you know that a student receives financial aid,
what is the probability that the student is a
graduate student?
Write your answer as a percent, rounded to the nearest
whole number [?]%
Answer: 31%
Step-by-step explanation:
Out of the students that receive financial aid, 1879 out of the 6101 total students are graduates.
So, the probability is [tex]\frac{1879}{6101} \approx 31\%[/tex]
Hi, how would I solve this question and what's the answer
Answer:
-4/5
Step-by-step explanation:
do -3/2to get your answer
Step-by-step explanation:
You find the image of triangle by translation
Temperatures in °F can be converted in °C using the formula
5(F-32)
=
C=
Make F the subject of the formula.
aC + b
Give your answer in the form
C
Att
where a, b and c are all positive integers.
The given formula can be written as 5F = 9C + 160.
What is a Measurement unit?A measurement unit is a unit to measure certain quantities. To find the measurement of a new quantity knows units can be used in operation. As to find the unit for speed we use m/s as a unit, where, m is the unit of distance and s is the unit of time.
Given that,
The conversion formula for °C into °F is 9C = 5(F - 32)
The given formula can be written in the form of cF = aC + b as,
9C = 5(F - 32)
⇒ 5F = 9C + 160
Hence, the given formula can be written by making F as the subject as 5F = 9C + 160.
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B. Determine the principal
1. √64
2. √100
3. √169
4. √196
5. √256
how please
The principal square root of √64 is 8, √100 is 10,√169 is 13, √196 is 14 and √256 is 16.
According to the question,
We have the following information:
1. √64
2. √100
3. √169
4. √196
5. √256
Now, in order to find the principal square root of these numbers, we will express these numbers in the form of the product of numbers then we will find the square root.
1) [tex]\sqrt{64}[/tex]
We have the following expression:
[tex]\sqrt{2*2*2*2*2*2}[/tex]
2*2*2
8
2) [tex]\sqrt{100}[/tex]
[tex]\sqrt{2*2*5*5}[/tex]
2*5
10
3) [tex]\sqrt{169}[/tex]
[tex]\sqrt{13*13}[/tex]
13
4) [tex]\sqrt{196}[/tex]
[tex]\sqrt{2*2*7*7}[/tex]
2*7
14
5) [tex]\sqrt{256}[/tex]
[tex]\sqrt{2*2*8*8}[/tex]
2*8
16
Hence, the principal square root of √64 is 8, √100 is 10,√169 is 13, √196 is 14 and √256 is 16.
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Which table of values satisfies the linear equation y=−47x−2?
x y
−7 −6
0 −2
7 2
x y
−14 6
0 0
14 −10
x y
−7 2
0 −2
7 −6
x y
−14 −10
0 0
14 6
The values satisfies the linear equation y = −47x−2 is (0, -2).
Describe the word linear equation?an equation where every term has either a constant else includes only one variable, each variable does have an exponent of one, and the graph is always a straight line.The general form of such a linear equation is y = mx + b, where m and b can be any real number.For the given question.
The linear equation is given as;
y = −47x −2
Check the result by putting the values from option.
For : −7 −6
Put x = -7
y = −47(-7) −2
y = 799 -2
y = 498 (incorrect)
For: 0 −2
Put x = 0
y = −47x −2
y = −47(0) −2
y = -2 (correct)
Thus, the values satisfies the linear equation y = −47x−2 is (0, -2).
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Find m∠1 and m∠2. Tell which theorem can be used.
According to the vertical angles theorem, m∠1 = 117°.
Based on the corresponding angles theorem, m∠2 = 117°.
What is the Vertical Angles Theorem?The set of angle pairs formed that are directly opposite each other when two straight lines intersect or when two parallel lines are crossed by a transversal are said to be vertical angles, and therefore congruent to each other based on the vertical angles theorem.
What is the Corresponding Angles Theorem?When two lines are intersected by a transversal, the angles that are on the same transversal and lie in relative position or corner in the two parallel lines are said to be corresponding angles which are congruent based on the corresponding angles theorem.
Using the information given in the diagram attached below, angles 1 and 117° are vertical angles.
Therefore:
m∠1 = 117° [vertical angles theorem]
Angles 1 and 2 are corresponding angles. Therefore:
m∠2 = m∠1
Substitute
m∠2 = 117° [corresponding angles theorem]
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The temperature outside is 15°F. If the
temperature drops 20°, will the outside temperature be represented
by a positive or negative integer? Explain your reasoning.
Please help me!!!!!!!!!
Answer:
-6
Step-by-step explanation:
The value of [tex]b[/tex] is the same as the value of [tex]y[/tex] when [tex]x=0[/tex].
A midwife delivers 10 babies considering a % chance of delivering a boy and 50% chance of delivering a girl, answer the following questions what is the probability that 6 of the babies will be boys?
A midwife delivers 10 babies, with 50% chance of delivering a boy and 50% of delivering a girl. The probability that 6 out of 10 babies will be boys is 20.5%
The problem can be solved using binomial distribution, that is the probability of 2 possible outcomes in a number of trials.
The formula is given by:
P(x) = ⁿCx . P^x . (1 - P)^(n-x)
x = total number of event A
n = number of trials
P = probability of A in a single trial
Parameters given in the problem:
n = 10
x = 6
P = 50% = 0.5
Plug these parameters into the formula:
P(6 boys) = ¹⁰C₆ . (0.5)⁶ . (0.5)⁴
= 0.205 = 20.5%
Hence, the probability that 6 out of 10 babies will be boys is 20.5%
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Maria was memorizing her lines for a play. There were 8 pages to memorize, and she had 4 lines on each page. How many lines did Maria memorize in all?
What are the coordinates of the point that is one half the distance between A(-1, -2) and B(6, 12)?
The coordinates of the point that is one-half the distance between A(-1,-2) and B(6,12) is (2.5,5)
What is the midpoint?
The mid-point lies midway between the two ends. Its x value lies in the middle of the other two x values. Its y value lies in the middle of the other two y values.
Given, [tex]A(6,12) = (x_{1}, y_{1} )[/tex]
[tex]B(6,12) = (x_{2}, y_{2} )[/tex]
Let M is a midpoint of AB, then
[tex]M(x,y)=(\frac{x_{1}+x_{2} }{2} ,\frac{y_{1} +y_{2}}{2} )= (\frac{-1+6}{2} ,\frac{-2+12}{2} )=(2.5,5)[/tex]
The midpoint of point AB is M(2.5,5)
Therefore, the coordinates of the point which is one-half the distance between A(-1,-2) and B(6,12) is M(2.5,5).
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Arun spends some of the money from his monthly salary on food, travelling and entertainment and the rest of the money he deposits in the bank. (i) The money he spends on food, travelling and entertainment is in the Ratio, food : travelling : entertainment = 4 : 2 : 3. If he spends on food $160 more than travelling calculate the amount he spends on entertainment.
(c) If he deposits 1/7 of his monthly salary , calculate his monthly salary
The amounts are given as follows, using proportions:
i) Amount spent on entertainment: $240.
c) Monthly salary: $840.
What is a proportion?A proportion is a fraction of an amount, and this fraction is combined with the unit rates in the context of a problem along with basic arithmetic operations such as multiplication or division to find the desired amounts.
The ratio of food : travelling : entertainment = 4 : 2 : 3 means that:
4/9 of the investment was in food.2/9 of the investment was in travelling.3/9 of the investment was in entertainment.The amount spent on food $160 more than travelling, the total amount is obtained as follows:
(4/9 - 2/9)x = 160
2/9x = 160
2x = 160 x 9
x = 80 x 9
x = 720.
Then the amount invested in entertainment was of:
3/9 x 720 = 1/3 x 720 = $240.
He invests 6/7 of his monthly salary, as 1/7 is deposited, hence:
6x/7 = 720
6x = 720 x 7
x = 120 x 7 (simplifying both sides of the equality by 6)
x = $840.
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Can anyone write the equation of the graph?
Answer:
use absolute value
Step-by-step explanation:
absolute of x +5
Write the equation of the line is fully simplified slope intercept form
Answer:
y = - 2x + 1
Step-by-step explanation:
the equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
calculate m using the slope formula
m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]
with (x₁, y₁ ) = (- 5, 11) and (x₂, y₂ ) = (6, - 11) ← 2 points on the line
m = [tex]\frac{-11-11}{6-(-5)}[/tex] = [tex]\frac{-22}{6+5}[/tex] = [tex]\frac{-22}{11}[/tex] = - 2
the line crosses the y- axis at (0, 1 ) ⇒ c = 1
y = - 2x + 1 ← equation of line
I really need help with this parallel lines and transversal equations find each angle measure 1-8
Answer:
1 = 88
2 = 92
3 = 88
4 = 92
5 = 92
6 = 88
7 = 92
8 = 88
Step-by-step explanation:
10x + 2 = 14x - 50
52 = 4x
18 = x
PLEASE I need this asap it’s due tonight {11/7/2022} PLEASE
Answer:
7 [tex]\frac{7}{8}[/tex]
Step-by-step explanation:
Multiply 3 1/2 by 2 1/4
Convert to improper fraction to make it simpler:
7/2 times 9/4 = 7 7/8 square millimeters.
Hope this helps :)
Answer:
Step-by-step explanation:
3.5 x 2.25 = 7.875 or 7 and 7/8
five sevenths raised to the negative first power times eighteen hundredths raised to the second power.
Answer: 0.04536
Step-by-step explanation:
What is the expression d/3+4
Answer:
d+12/3
Step-by-step explanation:
*= multiply /= fraction ALL OVER= fraction over fraction
find the common denominator-
d/3+4
d/3+3*4/3
combine fractions with the common denominator
d/3+3*4/3 ALL OVER d+3*4/3
multiply
d+3*4/3 ALL OVER d+12/3
