The probability that an outcome is greater than 5 is the likelihood of the outcome
The probability that the sum of the numbers showed on the dice is greater than 5 is 13/18
How to determine the probability?The sample size of a roll of two dice is:
n(S) = 36
The number of outcomes that have a sum greater than 5 is:
Greater than 5 = 26
So, the required probability is:
P = 26/36
Simplify
P = 13/18
Hence, the probability that the sum of the numbers showed on the dice is greater than 5 is 13/18
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What is P(factor of 64)? Write your answer as a percentage.
Answer:
the ansewr is eight percent
Can someone tell me what I did wrong here
Answer:
no roots.
Step-by-step explanation:
1) [tex]\sqrt{8x+16}=2-8; \ - \ correct;[/tex]
2) [tex]\sqrt{8x+16}=-6; \ - \ correct;[/tex]
note, the value after operation 'square root' cannot be negative ('-6' is on the right side!), then
3) it means, the given equation has no real roots.
I’m confused can someone help?
Answer:
(a) check the first one, and the second one
(b) check the last one
Step-by-step explanation:
This is quite easy actually.
(A)3x+24 = 3 * x + 3 * 8
3(x+8) using distribute property.
3x + 24
You cannot simplify 3x+24 any further
And 3(8x+1) just doesn't work
since it's multiplying
The "*" is an X sign
(B)The first, second, and third are not correct
But the last one is.
Si un átomo tiene un número atómico de 18 y 22 neutrones, ¿cuál es su masa atómica?
DOY CORONA
su masa atómica es de 4 creo
If Madeline has one week to read 1293 pages of a book and if she wants to split her reading equally each day how many pages will she need to read each day in order to finish
Answer:
184 5/7 pages
Step-by-step explanation:
There are 7 days in a week. If Madeline wants to read equal portions of the book each day, each of those portions must be 1/7 of the book, or ...
1/7 × 1293 pages = 184 5/7 pages
Madeline will need to read 184 5/7 pages each day in order to finish.
Solve each of the quadratic equations.
PT. 1
3x = 0.5x2
A. x = -6 or x = 0
B. x = -4 or x = 3
C. x = -2
D. x = 1.5 x = 0 or x = 6
PT.2
0 = 5x2 - 2x + 6
A. x= 1±3i/2
B. x=1±√11/5
C. x=1±I√29/5
Answer:
the answer to pt 1 is D. x=1.5 x=0 or x=6
and the answer to part 2 is C. x=1±I√29/5
Step-by-step explanation:
1. The solution of this equation is x = 0 or x = 6 which is option D.
2. The solution of this equation is [tex]x = \dfrac{1 \pm i\sqrt{29}}{5}[/tex] which is option C.
Use the concept of quadratic equation defined as:
The definition of a quadratic as a second-degree polynomial equation demands that at least one squared term must be included. It also goes by the name quadratic equations.
The quadratic equation has the following generic form:
ax² + bx + c = 0
1. The given quadratic equation is,
3x = 0.5x²
Rearranging it,
0.5x² - 3x = 0
Common out x,
x(0.5x - 3) = o
Then we have,
x = 0 or,
0.5x - 3 = 0
Add 3 on both sides,
0.5x = 3
Divide both sides by 0.5,
x = 3/0.5
x = 6
Hence the solution of this quadratic equation is,
x = 0 and x = 6 which is option D.
2. The given quadratic equation is:
0 = 5x² - 2x + 6
It can be written as,
5x² - 2x + 6 = 0
Since we know the quadrature formula for ax² + bx + c = 0 is,
[tex]x = \dfrac{-b \pm \sqrt{b^2 - 4ac}}{2a}[/tex]
Here we have,
a = 5
b = -2
c = 6
Substitute values into the formula,
[tex]x = \dfrac{2 \pm \sqrt{4 - 120}}{10}\\\\x = \dfrac{1 \pm i\sqrt{29}}{5} \text{ }\text{ \text{ }} \text{\text{ }\ since } \sqrt{-1} = i[/tex]
Hence, option C is correct.
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The complete question is:
Solve each of the quadratic equations.
PT. 1
3x = 0.5x²
A. x = -6 or x = 0
B. x = -4 or x = 3
C. x = -2 or x = 1.5
D. x = 0 or x = 6
PT.2
0 = 5x² - 2x + 6
A. [tex]x = \dfrac{1 \pm 3i}{5}[/tex]
B. [tex]x = \dfrac{1 \pm i\sqrt{11}}{5}[/tex]
C. [tex]x = \dfrac{1 \pm i\sqrt{29}}{5}[/tex]
Which of the
following graphs
satisfies these
inequalities?
x- y< 2.
x + 2y > 8
y<4
A
B
2
f
B
is the answer. Good luck!!
Mike spins a spinner and flips a coin. What
is the probability of getting E on the spinner
and the coin landing on heads?
Answer:
3/16
Step-by-step explanation:
The probability of spining an E is 3/8 and the probability of fliping heads on a coin is 1/2 so the probablility of both those things happening is 1/2*(3/8) or 3/16
An inequality is shown.
Select all the values of that make the inequality true.
Answer:
2/5
1
3/2
Step-by-step explanation:
Note that:
> = Greater than
< = Less than
≤ = Less than or equal to
≥ = Greater than or equal to
Solution:
Since it given that 27/7n > 4/3
It means that
27/7n is greater than 4/3.
Now going through all answer chioces:
-----------------------------------------------------------------------------------------------------------
27/7(2/5) = 1 19/35
1 19/35 is greater than 4/3
Thus, 2/5 is true.
-----------------------------------------------------------------------------------------------------------
27/7(1/3) = 1 2/7
1 2/7 isn't greater than 4/3
Thus, 1/3 is false.
-----------------------------------------------------------------------------------------------------------
27/7(1) = 3 6/7
3 6/7 is greater than 4/3
Thus, 1 is true.
-----------------------------------------------------------------------------------------------------------
27/7(2/9) = 6/7
6/7 isn't greater than 4/3
Thus, 2/9 is false.
-----------------------------------------------------------------------------------------------------------
27/7(3/2)=5 11/14
5 11/14 is greater than 4/3
Thus, 3/2 is true.
-----------------------------------------------------------------------------------------------------------
[RevyBreeze]
Simplify the expression.
(m^-1 m^5/m^-2)^-3
a)- 3m^4/m^2
b)-m^216
c)m^18
d)1/m^18
Answer:
[tex]D)\frac{1}{m^{18} }[/tex]
Step-by-step explanation:
Multiply [tex]m^{-1}[/tex] by [tex]m^{5}[/tex] by adding the exponents.
Use the power rule [tex]a^{m} a^{n} =a^{m+n}[/tex] to combine exponents.
[tex](\frac{m^{-1+5} }{m^{-2} } )^{-3} \\[/tex]
Add -1 and 5.
[tex](\frac{m^{4} }{m^{-2} } )^{-3}[/tex]
Move [tex]m^{-2}[/tex] to the numerator using the negative exponent rule [tex]\frac{1}{b^{-n} } =b^{n}[/tex].
[tex](m^{4} m^{2} )[/tex]
Multiply [tex]m^{4}[/tex] by [tex]m^{2}[/tex] by adding the exponents.
Use the power rule [tex]a^{m} a^{n} =a^{m+n}[/tex] to combine exponents.
[tex](m^{4+2} )^{-3}[/tex]
Add 4 and 2.
[tex](m^{6} )^{-3}[/tex]
Multiply the exponents in [tex](m^6)^{-3}[/tex]
Apply the rule and multiply exponents, [tex](a^m)^n=a^{mn}[/tex].
[tex]m^{6*-3}[/tex]
Multiply 6 by -3.
[tex]m^{-18}[/tex]
Rewrite the expression using the negative exponent rule [tex]b^{-n} =\frac{1}{b^{n} }[/tex].
[tex]\frac{1}{m^{18} }[/tex]
The expression below is a sum of cubes.
125x^3 + 144
A. True
B. False
Answer:
False
Step-by-step explanation:
Hey there!
If this is a sum of cubes, this means that both numbers have whole numbers as the cube root of that number
The cube root of 125 is 5
But the cube root for 144 is a decimal meaning this is not a sum of cubes
Which of the following statements is true?
The meter is a unit of volume in the U.S. customary system.
The foot is a unit of length in the metric system.
The gram is a unit of mass in the metric system.
The liter is a unit of volume in the U. S. customary system.
Answer:
Step-by-step explanation: the meter is a unit of value in the US customary system
Answer: The gram is a unit of mass in the metric system
Simplify the expression.
(m^-1 m^5/m^-2)^-3
a)- 3m^4/m^2
b)-m^216
c)m^18
d)1/m^18
Answer:
option d
Step-by-step explanation:
[tex]\sf \boxed{a^m*a^n = a^{m+n}\\\\}[/tex]
[tex]\sf \left(\frac{m^{-1}m^{5}}{m^{-2}} \right)^{-3} =\left(\dfrac{m^{-1+5}}{m^{-2}}\right)^{-3}[/tex]
[tex]\sf = \left(\dfrac{m^4}{m^{-2}}\right)^{-3}\\\\[/tex]
[tex]\boxed{\dfrac{a^{m}}{a^{n}}=a^{m+n}}[/tex]
[tex]\sf = \left(m^{4-[-2]}\right)^{-3}\\\\ =\left(m^{4+2}\right)^{-3}\\\\ = \left(m^6\right)^{-3}\\\\[/tex]
[tex]\boxed{(a^{m})^n=a^{m*n}}[/tex]
[tex]\sf= m^{6*(-3)}\\\\ = m^{-18}[/tex]
[tex]\boxed{a^{-m}=\dfrac{1}{a^m}}[/tex]
[tex]\sf=\dfrac{1}{m^{18}}[/tex]
6. The length of Garden B is 3 more than the length of Garden A. Write, and solve the equation
you can use to find the length of Garden A.
Answer:
B = A + 3
Step-by-step explanation:
Let B be the length of Garden B and A the length of Garden A.
We are told that B = A + 3
We can use this equation to find the length of Garden B.
Select the correct answer.
The histogram shows the weekly attendance of participants in a school's study skills program. Student attendance numbers were the same during which two weeks of the workshop?
A.
weeks 1 and 2
B.
weeks 2 and 4
C.
weeks 5 and 6
D.
weeks 4 and 6
Answer:
That would be week 2 and 4 (B). They are both at 12 students attending
2. Find the probability of throwing a 10 with a pair of dice and choosing a red from a standard deck of cards.
Answer:
Step-by-step explanation:
You can get 10 with a pair of dice with:
4 + 6, 6 + 4, 5 + 5
out of a possibile 36 results
There are 52 cards in a standard deck of cards. Reds make up half of them (hearts and diamonds) , meaning theres a 50/50 chance of pulling red
10/36 * 1/2 = 5/36 chance of throwing 10 + pulling red
The horizontal lines (l and m) are parallel. They are crossed by two transversals (lines a and b).
Transversals a and b intersect to make a triangle. The m∠1 = 75°, and the m∠4 = 50°.
1. What is the m∠5? Explain how you know. (2 points)
2. What is the measure of the sum of the angles in a triangle? (2 points)
3. ∠3 is in a triangle with ∠4 and ∠5. Write and solve an equation to find the m∠3. (2 points)
4. What is the measure of a straight angle? (2 points)
5. ∠2 is in a straight line with ∠1 and ∠3. Write and solve an equation to find the m∠2. (2 points)
PLEASE ANSWER! WILL GIVE BRAINLIEST
1. m∠5 = 75° (corresponding angles theorem)
2. 180°
3. m∠3 = 55° (triangle sum theorem).
4. A straight angle = 180°
5. m∠2 = 50° (angles on a straight line)
What is the Triangle Sum Theorem?According to the triangle sum theorem, the sum of the angles in a triangle equals 180 degrees.
1. m∠5 = m∠1 = 75° (corresponding angles are congruent)
2. Measure of the sum of all angles in a triangle = 180°
3. To find ∠3, we would have the following equation:
m∠3 = 180 - m∠4 - m∠5 (triangle sum theorem).
Substitute and solve
m∠3 = 180 - 50 - 75
m∠3 = 55°
4. A straight angle = 180°
5. m∠2 = 180 - m∠3 - m∠1 (angles on a straight line)
Substitute and solve
m∠2 = 180 - 55 - 75
m∠2 = 50°
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Find the surface area of the pyramid. DO THIS AS QUICK AS POSSIBLE
Explanation:
How many surface has a pyramid?
5 Faces
It has 5 Faces. The 4 Side Faces are Triangles. The Base is a Square.
How many cars are needed to transport 82 children if each car can take 6 children
Last Friday Trevon had $29. Over the weekend he received some money for cleaning the attic. He now has $41. Write an algebraic equation to represent how much money he received
Answer:
x + 29 = 41
Step-by-step explanation:
Trevon received some money, but we don't know how much, so we will represent that with x.
The money he received will be add the amount he had last friday, $29.
The equation will equal his current amount, $41.
I need this done right now please i need help
Step-by-step explanation:
AB = x + 5 ...................
A printer can print 14 pages in 28 sec.
The rate in lowest terms is____?
Answer:
1/2 or 0.5 :)
Step-by-step explanation:
We can divide to see lower forns :)
14/28 = 7/14 = 1/2
Have an amazing day!!
Please rate and mark brainliest!!
Answer:
2 pages every 7 seconds, divide by the common denominator which is 7 to get the answer
Determine the zeros of x^2 + 19x = 6x - 30
Answer:
The number of Zeros (roots) is
-3 and -10
Step-by-step explanation:
x^2 + 19x = 6x - 30
A circular garden has a diameter of 10 feet. Approximately how much edging trim is needed to surround the garden by placing the trim all along the garden's circumference?
Answer:
31 feet
Step-by-step explanation:
circumference = pi × diameter
pi × diameter = 31.4 (10×3.14)
Answer: 31 ft
Step-by-step explanation:
circumference = pi × diameter
pi × diameter = 31.4 (10×3.14)
help me out guys thank u
Answer:
[tex] \sf \: a5 = 769[/tex]
An angle measures 26.8° less than the measure of its complementary angle. What is the measure of each angle?
Given :
An angle which measures 26.8° less than the measure of its complementary angle.⠀
To Find :
The measure of each angle.⠀
Solution :
Let's assume the one of the complementary angle as "x" and the other angle as (x – 26.8)° .⠀
Now,
⠀
According to the Question :
⠀
[tex]{\longrightarrow \qquad \sf{ x + {(x - 26.8)}^{ \circ} = {90}^{ \circ} }}[/tex]
⠀
[tex]{\longrightarrow \qquad \sf{ x + {x - 26.8}^{ \circ} = {90}^{ \circ} }}[/tex]
⠀
[tex]{\longrightarrow \qquad \sf{ 2 {x - 26.8}^{ \circ} = {90}^{ \circ} }}[/tex]
⠀
[tex]{\longrightarrow \qquad \sf{ 2 x = {90}^{ \circ} + 26.8^{ \circ}}}[/tex]
⠀
[tex]{\longrightarrow \qquad \sf{ 2 x = 116.8^{ \circ}}}[/tex]
⠀
[tex]{\longrightarrow \qquad \sf{ x = \dfrac{116.8^{ \circ}}{2}}}[/tex]
⠀
[tex]{\longrightarrow \qquad \frak{\pmb{ x =58.4^{ \circ}}}}[/tex]
⠀
Therefore,
One angle = 58.4°Other angle = 58.4° – 26.8° = 31.6°⠀
Hence,
The measure of the each angles are 58.4° and 31.6° .Answer:
The measurement of each angle is 58.4° and 31.6°
Step-by-step explanation:
Given :-
Value of an angle is 26.8° less than its complementary angleTo Find :-
Measurement of each angleSolution:-
let one angle be x and other be x - 26.8°
we know that, Sum of complementary angle is 90°
X + X - 26.8° = 90°
2x = 90° + 26.8°
x = 58.4
So , one angle is 58.4° and other one is 58.4 - 26.8 which is 31.6
Find the perimeter of the parallelogram with these vertices.
(3.5), (-4. 2), (3.1), (-4. -2)
Give an exact answer (not a decimal approximation).
Simplify your answer as much as possible.
Check the picture below.
so we can say that two sides are "4" each in length, since opposite sides are equal, let's find how long the slanted sides are.
[tex]~~~~~~~~~~~~\textit{distance between 2 points} \\\\ (\stackrel{x_1}{-4}~,~\stackrel{y_1}{2})\qquad (\stackrel{x_2}{3}~,~\stackrel{y_2}{5})\qquad \qquad d = \sqrt{( x_2- x_1)^2 + ( y_2- y_1)^2} \\\\\\ d=\sqrt{[3 - (-4)]^2 + [5 - 2]^2}\implies d=\sqrt{(3+4)^2+3^2} \\\\\\ d=\sqrt{49+9}\implies d=\sqrt{58} \\\\[-0.35em] ~\dotfill\\\\ \stackrel{\textit{\Large Perimeter}}{4~~ + ~~4~~ + ~~\sqrt{58}~~ + ~~\sqrt{58}\implies 8+2\sqrt{58}}[/tex]
(3*8-3)/3
How do you solve this?
Answer:
7
Step-by-step explanation:
Equation: (3*8-3)/3
Step 1: (24-3)/3
Step 2: 21/3
Step 3: 7
Order of operations is used in this equation. You simplify the terms in the parentheses before the other terms in the equation. According to the order of operations (parentheses, exponents, multiplication, division, addition, and subtraction, you do the multiplication before the subtraction in the parentheses. Then you subtract your three from your multiplication result (twenty-four). This leaves you with 21. Finally, you divide twenty-one by three. This gets you seven.
help i dont know how to do this and i forgot the study guide
B is the right answer
I hope it will help you
Please look at the attachments I posted. Anyone help me please
Answer:
This will be option D
Replace the k with -1/2 and f(x) with x^2
this will look like -1/2*x^2
plug this into a graphing website such as Desmos
