Answer:
2/5
Step-by-step explanation:
In order to find the probabability, you first need to find your total. So:
A, B, C, D,
8+ 6 + 4 + 2 =
20
Since, 20 is out toal it goes in our denominator
Now since we artrying to find the probability of A then we count the number of students who an A and place that in our denominator
8/20
We simplify
2/5
Answer:
2/5
Step-by-step explanation:
The volume of a rectangular prism whose dimensions are binomials with integer coefficients is modeled by the function V(x) = x^3 − 14x^2 + 49x − 36. Given that x − 1 and x − 9 are two of the dimensions, find the missing dimension of the prism.
Answer:
The missing dimension of the prism is (x-4)
Step-by-step explanation:
Here, we want to find the missing dimensions of the prism
To get the volume, we are to multiply three dimensions since we are talking about volume
Mathematically, to find the third dimension, we need to divide the original polynomial by the product of the two other dimensions
The product of the two other dimensions is;
(x-1)(x-9) = x^2-9x-x + 9
= x^2-10x+ 9
So we divide;
(x^3-14x^2+49x-36)/(x^2-10x+ 9)
We can use long division to get this
using long division, the answer here is x-4
The volume of a prism is the product of its dimensions.
The missing dimension of the prism is x - 4
The volume function is given as:
[tex]\mathbf{V(x) = x^3 - 14x^2 + 49x - 36}[/tex]
Let the missing dimension of the prism be y.
So, the volume is calculated using:
[tex]\mathbf{V(x) = y \times (x - 9) \times (x -1)}[/tex]
Multiply the factors
[tex]\mathbf{V(x) = y \times ( x^2-9x-x + 9)}[/tex]
[tex]\mathbf{V(x) = y \times ( x^2-10x + 9)}[/tex]
Equate both expressions of volume
[tex]\mathbf{y \times ( x^2-10x + 9) = x^3 - 14x^2 + 49x - 36}[/tex]
Make y the subject
[tex]\mathbf{y = \frac{x^3 - 14x^2 + 49x - 36}{x^2-10x + 9 }}[/tex]
Factor the numerator
[tex]\mathbf{y = \frac{(x - 4)(x^2-10x + 9 )}{x^2-10x + 9 }}[/tex]
Cancel out common factors
[tex]\mathbf{y = x - 4}[/tex]
Hence, the missing dimension of the prism is x - 4
Read more about volumes at:
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$10,000 down payment for your house if you can invest 2% of your monthly income (yearly income: $67,705) into an account that earns 4% quarterly. Also what is the formula for this? Is it compounded quarterly?
Answer:
the future value of each deposit = ($67,705 x 1/12 x 0.02) x (1 + 1%)ⁿ = $112.84 x 1.01ⁿ
where n = number of quarters (interest is compounded quarterly)
the effective interest = 1.01⁴ - 1 = 4.06%
Assuming that you are going to make monthly payments, then you would need the number of quarters (n) in order to determine the future value. Since the interest is compounded quarterly, each contribution = $112.84 x 3 = $338.52
For example, if you are planning to save money for 5 years (n = 5 x 4 = 20), then the future value of the investment = $338.52 x 22.019 (FV annuity factor, 1%, 20 periods) = $7,453.87
if you want to calculate the total number of contributions (n):
FV annuity factor, 1%, n? = future value / contribution = $10,000 / $338.52 = 29.5404
since you know the interest rate (1%) you have to look at a future value annuity table and search the n for 29.54. This is approximately 26 periods (FV annuity factor = 29.53).
which one is greater 6.65 or 6.650
Answer:
neither they are both equal
Step-by-step explanation:
Answer: there equal/ the same.
Step-by-step explanation:
Help please:):):):):):)
do eat popcorn in a tub
:)
poopy face
Rachel pays $131.44 for a desk, including tax. the tax is 31 cents less than 1/16 of the desk's price. what is the price of the desk before adding the tax?
help me plz
Part A: A graph passes through the points (0, 2), (2, 6), and (3, 12). Does this graph represent a linear function or a non-linear function? Explain your answer in words.
Part B: Write one example of a linear function and one example of a non-linear function. (Use x and y as the variables) (10 points)
Answer:
Im doing the same quesiton for flvs and dont know
Step-by-step explanation:
Answer:
what school do u do
Step-by-step explanation:
Write a direct variation equation that relates x
and y. Then solve.
If y= -8 when x= -2, find x when y= 32
Answer:
y/x= -8/-2= 4 => when y=32 => 32/x=4 => x=8
Maria takes 2 hours to plant 50 flower bulbs. Lois takes 3 hours to plant 45 flower bulbs. Working together, how long should it take them to plant 150 bulbs?
Answer:
Maria: (50 bulbs)/(2 hours) = 25 bulbs/hour
Lois: (45 bulbs)/(3 hours) = 15 bulbs/hour
Together: 25 + 15 = 40 bulbs/hour
(150 bulbs)/(40 bulbs per hour) = 3 3/4 hours
(3/4 hours)(60 minutes/hour) = 45 minutes
Total time: 3 hours 45 minutes
Which units would be used for a measurement of area?
cm 2
π
inches
ft 3
through: (4, -5), perp. to y =2/3x – 3
Answer:
y=-3/2x+11
Step-by-step explanation:
M a t h w a y
hhhhhhheeeeeeeeeeellllllllllllloooooooooooooopppppppppppppppppppppppppppp
Answer:
nooooooooooo biiiiiiiiiiit.ch
Answer:
c
Step-by-step explanation:
change is rise over run, and 3 is your rise and 2 is your run, so when the line goes up 3, it goes to the right 2 units
Mr.davis works for $2,400 per month plus a 10 percent commission on his total sales.he wants to earn at least $3,000 next month. Which inequality can be used to determine the amount of sales,s,he needs to meet his goal?
Answer:
5th and 6th of August and will not me I will get
Step-by-step explanation:
ok is a theme for all of us who 6th assignment and we are going too far from changes to our schedule so we will not have a party
Determine which regions contain cube roots of -1
Answer:
A, C, F
Step-by-step explanation:
Given y=2x+1 work out y x=4
Answer:
y = 2(4) + 1
y = 8 + 1
y = 9
Step-by-step explanation:
Question 1
8 pts
You are shopping at Math-Mart and your total purchase is $80. What is the total cost if the
tax rate is 8%?
Answer:
86.40
Step-by-step explanation:
First you do 80 x 0.08 to get 6.4, then you add that to 80 to get 86.40 dollars
Roger completes a quiz with these rules: 5 points are given for each right answer, 2 points are lost for each wrong ans. Roger gets 6 questions correct and 4 questions wrong. What is roger's final score ?
Answer:
The final score of Roger is 22.
Step-by-step explanation:
The final score (F) of Roger is given by:
[tex] F = 5R - 2W [/tex]
Where R is the right answers and W is the wrong answers
Since he gets 6 questions correct (R = 6) and 4 question wrong (W = 4) we have:
[tex] F = 5R - 2W = 5*6 - 2*4 = 22 [/tex]
Therefore, the final score of Roger is 22.
I hope it helps you!
Angles formed by parallel lines and transversal
Express the null hypothesis and the alternative hypothesis in symbolic form that would be used for a hypothesis test. A psychologist claims that more than 5.8 percent of the population suffers from professional problems due to extreme shyness.
Answer:
Null Hypothesis
H₀ : P = 3.8
Alternative Hypothesis
H₁: P > 3.8
Step-by-step explanation:
Explanation:-
Null Hypothesis :-
The single statistic, H₀ will be that the sample statistic
H₀ : There is does not differ significantly from hypothetical parameter values
H₀ : P = 3.8
Alternative Hypothesis:
The statistic , H₁ will be the sample statistic
H₁: There is differ significantly from hypothetical parameter values
H₁: P > 3.8
Tell whether the following equation has one, zero, or infinitely many solutions. 2(4x + 10) = 8x + 20. Group of answer choices:
A) Infinitely many solutions
B) One solution
C) Zero solutions
Answer:
The equation will have infinitely many solutions.
Option A is correct
Step-by-step explanation:
We need to tell if the equation [tex]2(4x + 10) = 8x + 20[/tex] has one, zero, or infinitely many solutions.
First we solve the equation to find the value of x
[tex]2(4x + 10) = 8x + 20[/tex]
First multiply 2 with terms inside the bracket
[tex]8x+20=8x+20[/tex]
Now Subtract 20 from both sides
[tex]8x+20-20=8x+20-20[/tex]
[tex]8x=8x\\0=0[/tex]
So, the equation will be true for all values of x
As after solving the equation we get 0=0 so, the equation will have infinitely many solutions.
Option A is correct
All of the following effect the wind motion EXCEPT
A. Gravity
B. Rotation of the earth
C. Friction with the ground
D. Location of high and low pressure
(Science middle school)
Answer:
I think option D.
Step-by-step explanation:
lmk if it's wrong
Write an equation to represent the following description "fourteen less than 8 times a number is -11
Answer:
(8 * x) -14 = -11
Step-by-step explanation:
* = multiply sign (i didnt want to put "x" as the multiply sign since "x" is already being used) ( mightve confused you with 2 "x"s in the parenthesis.
x = the number that is missing being multiplied by 8
I put "8" multiplied by "x" in parenthesis since you do parenthesis first in an equation.
10.022 in word form
Answer:
ten point zero twenty two
Step-by-step explanation:
How do you write 37.025 in word form?
How to Write Out Number 37.025 in Words: thirty-seven and twenty-five thousandths in (US) American English, Number Converted (Spelled Out) to Words.
Solve x2 – 12x + 11 = 0 by completing the square.
Question 7 options:
x = –1
No Real Solutions
x = 11 and x = 1
x = 11
Answer:
Step-by-step explanation:
x^2 – 12x + 11 = 0
(x-11)(x-1)
x= 11, 1 completing the square
What is correct?
Screenshot below
I will give out 11 points
What is the solution to the linear equation 4b + 6 = 2 - b+ 4
Final Answer: [tex]b = 0[/tex]
Steps/Reasons/Explanation:
Question: What is the solution to the linear equation [tex]4b + 6 = 2 - b + 4[/tex]?
Step 1: Simplify [tex]2 - b + 4[/tex] to [tex]6 - b[/tex].
[tex]4b + 6 = 6 - b[/tex]
Step 2: Cancel [tex]6[/tex] on both sides.
[tex]4b = -b[/tex]
Step 3: Subtract [tex]-b[/tex] from both sides.
[tex]4b + b = 0[/tex]
Step 4: Simplify [tex]4b + b[/tex] to [tex]5b[/tex].
[tex]5b = 0[/tex]
Step 5: Divide both sides by [tex]5[/tex].
[tex]b = 0[/tex]
~I hope I helped you :)~
Answer:
b = 0
Step-by-step explanation:
(Combine like terms): 4b + 6 = 2 - b + 4
4b + 6 = 6 - b
(Use Addition property of
equality to add b): 4b + b + 6 = 6
5b + 6 = 6
(Use Subtraction property of
equality to subtract 6): 5b + 6 - 6 = 6 - 6
5b = 0
(Divide both sides by 5): 5b = 0
5 5
b = 0ayeeeeee who watched "the voice" tonight
ayeeeeeeeee not meeee
not me butt ayyyy whos failing school :)
What composition of rigid motions maps APOR LO AXZY?
A T<1,3> (270, 0)
B. Rx=0.T<0,2>
C. Tx6,2>. Rx = -2
D. Ry=-2.T-6,0>
Answer:
Looking for an answer for this one
Step-by-step explanation:
Write an equation that represents the line. Use exact numbers
Answer:
y= 2/3x + 1.25
Step-by-step explanation:
I can't see the exact number but it's probably 1.25. Sorry if it's wrong :)
Which one is correct? Please hurry <3
Answer:
PEMDAS so multiply or divide the coefficient
Step-by-step explanation:
Which of the following is true about similar figures?
All similar figures are congruent.
If two figures are not similar, they can still be congruent.
All congruent figures are similar.
If two figures are not congruent, they can't be similar.
Answer:
All congruent figures are similar
Step-by-step explanation:
Congruent means "same" in mathematics and you have evidence to prove it. You can look at two puppies with the exact same fur color and be like "yeah they're the same". If they are the same size and shape they're congruent. This is why the AAA postulate can't work because triangles can have the same angles yet be different sizes. If figures are not congruent, they can't be similar and figures that aren't similar can't be congruent either.
All similar figures are congruent is true about similar figures
What is congruency?We know two similar planer figures are congruent when we have sides or angles or both that are the same as the corresponding sides or angles or both.
In mathematics, congruent means identical, and you can cite examples to support your claim.
just by looking at them. They are congruent if their dimensions match. Triangles can have the same angles but differ in size, which makes the AAA postulate invalid.
If two figures are not similar, they cannot be congruent, therefore similarly unrelated figures cannot be congruent.
learn more about congruency here :
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