Step-by-step explanation:
Probability
Probability is a measure of the likelihood that an event will happen.
When dealing with probability, the outcomes of a process are the possible results. For example, when a die is rolled, the possible outcomes are 1, 2, 3, 4, 5, and 6. In mathematical language, an event is a set of outcomes, which describe what outcomes correspond to the "event" happening. For instance, "rolling an even number" is an event that corresponds to the set of outcomes {2, 4, 6}. The probability of an event, like rolling an even number, is the number of outcomes that constitute the event divided by the total number of possible outcomes. We call the outcomes in an event its "favorable outcomes".
Probability =
Morgan wants to save to buy a car and decides to open a banking account that is offering an interest rate of 4.5% compounded annually. How much will Morgan have in the account after 5 years if $7,000 is deposited today?
Answer:
He'll have approximately $8723.3 on his account in five years.
Step-by-step explanation:
Since the amount invested is compounded yearly, we can calculate the amount he'll have in 5 years by using the following expression:
[tex]M = C*(1 + r)^t[/tex]
Where M is the final amount, C is the invested money, r is the interest rate and t is the time elapsed in years. Applying the data from the problem we have:
[tex]M = 7000*(1 + \frac{4.5}{100})^5\\M = 7000*(1 + 0.045)^5\\M = 7000*(1.045)^5\\M = 8723.274\\[/tex]
He'll have approximately $8723.3 on his account in five years.
Mrs. Smith’s students are trying to guess her age. She gives them 3 clues: (1) “My age is a factor of 60.” (2) “My age is a multiple of 5.” (3) “My age is more than 20 but less than 50.”
a
How old is Mrs. Smith?
I need help please people help me
Answer:
nooooooooooooo
nooooooooooooo
Anybody wanna play fn, , or sea of thieves?
Answer:
Nope
Step-by-step explanation:
Please we are not here to joke.find some where else to do such but not here
Answer:
Meh
Step-by-step explanation:
At Barlow school, 4/9 of the 873 students are boys.
At Willow school, 2/3 of the 630 students are girls
Which school has a greater of boys and how many?
Answer:
Barlow School has the greater number of boys by 178.
Answer:
Barlow school by 178
Step-by-step explanation:
→ First let's work out the number of boys at Barlow school
[tex]\frac{4}{9}[/tex] of [tex]873[/tex] [tex]=[/tex] [tex](873/9)*4[/tex] [tex]=[/tex] [tex]388[/tex]
→ There is 388 boys in Barlow school. Now let's work out the number of boys at Willow school. Since we know that [tex]\frac{2}{3}[/tex] of the school is girls, it must mean that the remaining part must be boys so the fraction of boys at Willow school is [tex]\frac{1}{3}[/tex]
[tex]\frac{1}{3}[/tex] of [tex]630[/tex] [tex]=[/tex] [tex](630/3)*1[/tex] [tex]=[/tex] 210
→ The question specifies to say which school has a greater number of boys and we can see Barlow school has more boys and the question says by how many so we take away the totals so 388 - 210 = 178
Inscribed Angles - Find the value of x - WILL GIVE BRAINLIEST!
Answer:
137
Step-by-step explanation:
The degrees of the inscribed arc of 43 is 43 * 2 = 86
Since the total degrees in a circle is 360, x is equal to
(360-86)/2 = 137
Answer:
x = 137
Step-by-step explanation:
opposite angles are supplementary when they are in a quadrilateral inscribed in a circle
43+x = 180
Subtract 43 from each side
x =180-43
x=137
What is the simplified form of the fraction below 15/25
Answer:
[tex]\frac{15}{25}[/tex] ÷ [tex]\frac{5}{5}[/tex] = [tex]\frac{3}{5}[/tex]
Answer:
3/5
Step-by-step explanation:
Both of them are multiples of five by dividing them u get the answer
3/5
tons of points easy what is 9.5 x 19 equal
Answer:180.5
Step-by-step explanation:
9.5 x 19
361/2=180.5
PLZZZZZZZZZZZZZZZZZZZ ANSWER THIS QUESTION I WILLL MARK BRAINLIEST
Answer:
Okay, so, your picture kinda blurry but I'll still help you:
to find y intercepts you just see where the line crosses the y axis and write the coordinate down for each line.
To find the gradient, just pick two points on a line and do
1)the difference between both y axis points
2)the difference between the x axis points
and then divide 1) by 2) to get the gradient.
Hope this helps!!
What is the solution to x^2-6x+9?
Answer:(x-3)(x-3)
Step-by-step explanation:
(x-3)(x-3)=x^2-6x+9
Answer:
Step-by-step explanation:
Paul needs to find 310% of 72%. which expression should he use?
Answer:
2.232, or 223.2%
Step-by-step explanation:
(3.1)(0.72)
Answer:
B
Step-by-step explanation:
i took the test and got it right
the slope intercept form of the equation of the line that passes through point (-3,8) is y=-2/3x+6. what is he point-slope form of the equation for this line
Answer:
2x + 3y = 18
Step-by-step explanation:
y=-2/3x+6 needs to be re-written as 3y = -3(2/3)x + 18 (without fractions). This result simplifies to 3y = - 2x + 18, which can be re-ordered as
2x + 3y = 18 (equation in standard form)
Someone help meeee lollll
Answer:
Step-by-step explanation:
The best way to do this is to first remove the parenthesis by distributing the negative into them. Then we will group the like terms together, moving their respective signs with them, then we will simplify. For the first one, after distributing the negative into the parenthesis (remember that a negative in front of a set of parenthesis containing a polynomial changes the signs in front of each term within the polynomial; negatives become positives and positives become negatives):
[tex]3x^2-6x+11-10x^2+4x-6[/tex] and then grouping like terms next to each other:
[tex]3x^2-10x^2-6x+4x+11-6[/tex] (this step is not completely necessary; I just encourage new learners to do it so as to not miss any of the like terms)
The above then simplifies to
[tex]-7x^2-2x+5[/tex]
The next one, after distributing the negative into the parenthesis:
[tex]-3x^2-5x-3+10x^2+7x-2[/tex] and then grouping like terms next to each other (remember to move their signs with them!):
[tex]-3x^2+10x^2-5x+7x-3-2[/tex] which simplifies to
[tex]7x^2+2x-5[/tex]
Now for the last one:
[tex]12x^2+6x-5-5x^2-8x+12[/tex] and
[tex]12x^2-5x^2+6x-8x-5+12[/tex] which simplifies to
[tex]7x^2-2x+7[/tex]
How many different angle measures the two parallel and one crossing line can make?
Answer:
The answer is 2 different angles, 53° and 127°.
Explanation:
As you subtract 180° from the given angle to find the other angle, you will get only 2 angles either 53° or 127°.
Find the volume of prism
Pls!! Show how you got the volume pls
Solve for x 3x - 5 = 2x + 6.
01
O-1
O 11
0-11
Answer:
X= 11
Step-by-step explanation:
Move constant to the right side and change its sign
Please help !!!!!!!!!!! Will mark brainliest !!!!!!!!!!!
Answer:15
Step-by-step explanation:
its obvious lol simple maths
1. Make sure your answers and work is SHOWN please and steps are in order.
2. List all of the possible rational roots.
3. Use synthetic division to test the possible rational roots and factor as far as possible.
4. Identify complex roots, if possible.
5. Sketch a graph of the function, please show:
a. the end behavior correctly
b. the shape of the near x-int
c. (if possible) anything you can learn by considering symmetry and transformations.
1a. p(x)- 2x^4-3x^3-6x^2+5x+6
2a. p(x)= x^4 + 4x^3 + 13x^2 + 36x + 36
3a. p(x)= 2x^5 - 9x^4 + 6x^3 + 22x^2 - 20x - 25
Been a while since I've done synthetic division.
1a. Let's assume that's supposed to be an equals sign
p(x) = 2x⁴ - 3x³ - 6x² + 5x + 6
possible rational roots have factors of 6 in the numerator and of 2 in the denominator. We'll only worry about negative numerators.
Factors of six: 1,2,3,6, and we don't forget -1,-2,-3,-6
Factors of 2: 1,2
Possible rational roots:
(dividing by 1:) 1,-1,2,-2,3,-3,6,-6
(dividing by 2:) 1/2, -1/2 (2/2=1 is a duplicate, don't have to repeat it), 3/2, -3/2
Possible rational roots: 1,-1,2,-2,3,-3,6,-6, 1/2, -1/2, 3/2, -3/2
Synthetic division, trying x=1,
1 | 2 -3 -6 5 6
2 -1 -7 -2
2 -1 -7 -2 4
Got a remainder of 4, so 1 isn't a root;
Trying x=-1
-1 | 2 -3 -6 5 6
-2 5 1 -6
2 -5 -1 6 0
Zero remainder, found a root, x=-1. This division says
(2x⁴ - 3x³ - 6x² + 5x + 6) / (x + 1) = 2x³ - 5x² - x + 6
Same set of rational roots on the cubic, we continue with x=2
2 | 2 -5 -1 6
4 -2 -6
2 -1 -3 0
Another zero remainder, x=2 is a root. We're left with 2x² - x - 3 = 0, which factors as
(2x - 3)(x + 1) = 0
That's a second factor of x+1. Our final factorization is
2x⁴ - 3x³ - 6x² + 5x + 6 = (x + 1)²(x-2)(2x - 3)
Fourth degree with a positive leading coefficient so goes to +infinity at both ends. Double zero at x=-1, so it's tangent there, just touching the x axis, then down through x=3/2 and up through x=2.
I'll leave the actually sketching and the other two polynomials to you -- that took some time.
The first equation from the previous system of
equations is graphed. Graph the second equation to
find the solution of the system of equations.
y = -2x + 4,
y=-x-1
What is the solution to the system?
Answer: x = 5 and y=-6
Step-by-step explanation:
If we graph both equations, the interception is the point (5,-6). Therefore the solution for x is 5 and for y is -6.
Given that 3x/8 = 9y/4, Find the ratio of x:y
Answer:
1:6
Step-by-step explanation:
3x/8 = 9y/4
Multiply by 8
3x = 9y/4 *8
3x = 18 y
Divide by 3
x = 18y/3
x = 6y
The ratio is of x to y is
1:6
Answer:
Step-by-step explanation:
3x/8=9y/4
3x/2=9y
1.5x=9y
1.5x:9y
x^2+4x+y^2-10y+20=30 find the center of the circle by completing the square
Answer:
a). Center of the circle = (-2, 5)
b). Equation of the line ⇒ y = [tex]-\frac{4}{5}x+\frac{58}{5}[/tex]
Step-by-step explanation:
Equation of the circle is,
x² + 4x + y²- 10y + 20 = 30
a). [x² + 2(2)x + 4 - 4] + [y²- 2(5)y + 25] - 25 + 20 = 30
[x² + 2(2)x + 4] - 4 + [y² - 2(5)y + 25] - 25 + 20 = 30
(x + 2)² + (y - 5)²- 29 + 20 = 30
(x + 2)² + (y - 5)²- 9 = 30
(x + 2)² + (y - 5)² = 39
By comparing this equation with the standard equation of a circle,
Center of the circle is (-2, 5).
b). A point (2, 10) lies on this circle.
Slope of the line joining this point to the center (-2, 5),
[tex]m_{1}=\frac{y_{2}-y_{1}}{x_{2}-x_{1}}[/tex]
= [tex]\frac{10-5}{2+2}[/tex]
= [tex]\frac{5}{4}[/tex]
Let the slope of the tangent which is perpendicular to this line is '[tex]m_{2}[/tex]'
Then by the property of perpendicular lines,
[tex]m_{1}\times m_{2}=-1[/tex]
[tex]\frac{5}{4}\times m_{2}=-1[/tex]
[tex]m_{2}=-\frac{4}{5}[/tex]
Now the equation of the line passing though (2, 10) having slope [tex]m_{2}=-\frac{4}{5}[/tex]
y - y' = [tex]m_{2}(x-x')[/tex]
y - 10 = [tex]-\frac{4}{5}(x-2)[/tex]
y - 10 = [tex]-\frac{4}{5}x+\frac{8}{5}[/tex]
y = [tex]-\frac{4}{5}x+\frac{8}{5}+10[/tex]
y = [tex]-\frac{4}{5}x+\frac{58}{5}[/tex]
Therefore, equation of the line will be, y = [tex]-\frac{4}{5}x+\frac{58}{5}[/tex]
the two polygons shown are similar what is the correct similarity statement
Answer:
The middle choice
Step-by-step explanation:
The first figure starts on the upper right corner and goes around from A to B to C to D.
So the smaller figure should do the same thing. It should start from the upper right (S) and go through T U V. Which it does.
Answer:
Determine whether each pair of polygons is similar
Step-by-step explanation:
Similar Polygons: 2 Polygons are similar if and only if their corresponding angles are congruent & Corresponding sides are proportional. hope this helps you :)
Here is a list of ingredients that
serves 4 people:
Bacon 50 g
Minced beef 450 g
Chopped tomatoes 400 g
Button mushrooms 100 g
Beef stock 125 ml
Marco is making a meal for 14 people using these ingredients.
Work out the number of grams of minced beef he needs.
Answer: 1575 grams or 1.575 kgs
Step-by-step explanation:
For 4 people = 450 g of minced beef
For 14 people,
(14 * 450) / 4 = 1575 gms
Jeff is designing the seating arrangement for a concert in his high school theater. To give everyone a good view, each row must have 5 more seats than the row before it, and the 1st row can only have 12 seats. Help Jeff plan the rest of the seating by solving for how many seats are in row 25. Then explain to Jeff how to create an equation to predict the number of seats in any row. Show your work, and use complete sentences.
Answer:
Its a sequence question so, you have to find the nth term.
Step-by-step explanation:
If there are 5 more seats, and first value is 12, then:
nth terms = 5n + 12
Try substituting n with 1 to check
Hope this helps
What is the range of the function?
A. (3)
B. {3, 9, 12)
C. (-2, 2, 3, 4, 9, 12)
O D. {-2, 2, 3, 4
The range is all the possible y values, so the set with all the arrows.
Answer: B. {3,9,12}
Answer:
B
Step-by-step explanation:
The range means the y coordinates or output
In this the output are the numbers on the right.
We can also find the answer by eliminating.
Option A could not be the answer because it is only one of the numbers from the range.
Option B is the answer because it includes all the numbers from the range.
Option C and Option D could not be the answer because they include other numbers from the domain (which we are not trying to find).
This is an example here below
Hope this helped!!
What are the two main methods for solving a system of equations?
Answer:
substitution, and 2) elimination
Step-by-step explanation:
Step-by-step explanation:
elimination
substitution
Simplify (x-5)-(x-1)
Answer:
-4
Step-by-step explanation:
→Distribute the -1 to (x - 1):
(x - 5) - (x - 1)
x - 5 - x + 1
→Add like terms (x and -x, -5 and 1):
-4
Answer:
-4
Step-by-step explanation:
(x-5)-(x-1)
x-5-x+1
x-x-5+1 = -4
Help……………………………………….
Answer:
The second option
Step-by-step explanation:
Adding n to the x inside of the parentheses moves the graph n units to the left
Answer:
5 units left. When looking at a translation of x inside of parentheses, it is the opposite of the sign. So x+5 becomes 5 to the left.
Step-by-step explanation:
Which verbal expression is represented by 2(x + 4)?
A. twice the sum of a number and four
B. the sum of two times a number and four
C. two times the difference of a number and four
D. twice the product of a number and four
Answer:
A.
Step-by-step explanation:
The sum of a number, x, and 4 just means x + 4.
If we take twice this sum, it implies that we take the resulting number and multiply it by 2.
Our resulting number is x + 4, so we are left with 2(x + 4).
I hope this helps!
The correct answer is twice the sum of a number and four.
What is an expression?Expressions in maths are mathematical statements that have a minimum of two terms containing numbers or variables, or both, connected by an operator in between.
Given an expression, 2(x+4)
The sum of a number, x, and 4 just means x + 4.
Taking twice of the sum, it implies that we take the resulting number and multiply it by 2.
The resulting number is x + 4, so it is 2(x + 4).
Hence, The correct answer is twice the sum of a number and four.
For more references on expression, click;
https://brainly.com/question/14083225
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You have a 12 inch by 14 inch picture that you frame. When you hung the picture, you found that the entire area is 261.44 in. What is the width of the frame?
Answer: c) 3.2 inches
Step-by-step explanation:
Let x represent the width of the frame
Then the area of the frame is:
(x + 12)(x + 14) = 261.44
Rewrite it in Standard form of a quadratic equation:
x² + 26x + 168 = 261.44
x² + 26x - 93.44 = 0
Use Quadratic Formula to solve for x:
[tex]x=\dfrac{-b+\sqrt{b^2-4ac}}{2a}\\\\\\x=\dfrac{-26+\sqrt{26^2-4(1)(-93.44)}}{2(1)}\\\\\\x=\dfrac{-26+\sqrt{1049.76}}{2}\\\\\\x=\dfrac{-26+32.4}{2}\\\\\\x=\dfrac{6.4}{2}\\\\\\x=\large\boxed{3.2}[/tex]