Answer:
2970
Step-by-step explanation:
Given
Number of red marbles = 3
Number of green marbles = 3
Number of lavender marbles = 1
Number of yellow marbles = 3
Number of orange marbles = 4
So the number of possible outcomes
1C1 * (3+4+5)C4 + 5C1 * (3+4+5)C4
12C4 ( 1+ 5C1)
12!/(4!*8!) * 6
2970
whats the missing number
Answer:
5Step-by-step explanation:
X * 3^2 +2 = 47
X * 9 + 2 = 47
9X = 47 - 2
9x = 45
x = 45 : 9
X = 5
What is 75% of eight
Answer:
6
Step-by-step explanation:
.....................
Answer:
6
Step-by-step explanation:
pecentage calculator.what is 75 percent of 8?=6
Can someone please help me?
Answer:
third and last one
Step-by-step explanation:
im pretty sure those are the answers i used a graphing calculator.
9514 1404 393
Answer:
C and E
Step-by-step explanation:
The rules of exponents apply:
(a^b)(a^c) = a^(b+c)
__
[tex]200(10^x)=20\cdot10^1\cdot10^x=\boxed{20(10^{x+1})}\\\\=2\cdot10^2\cdot10^x=\boxed{2(10^{x+2})}[/tex]
These match the 3rd (C) and last (E) choices.
Joe made 5 loaves of banana bread.
If one serving is 1/5
loaf, how many servings does
Justine have?
T
Answer:
5 divided by 1/5
5 x 5/1 = 25, he has 25 servings.
A density curve for all the possible weights between 0 pounds and 10 pounds is in the shape of a rectangle. What is the height of the rectangle in this density curve? O A. 0.01 OB. 0.001 C. 0.1 O D. 0.0001 SUBMIT
Answer:
0.1
Step-by-step explanation:
For a density curve, total area = 1
Probability lies in between 0 and 1
The Area of rectangle :
Area = Length * width
Length = 0 - 10 = 10
Area = 1
Hence,
Area = Length * width
1 = 10 * w
1 = 10w
w = 1 /10
w = 0.1
Please anyone answer me
Let's divide the shaded region into two areas:
area 1: x = 0 ---> x = 2
ares 2: x = 2 ---> x = 4
In area 1, we need to find the area under g(x) = x and in area 2, we need to find the area between g(x) = x and f(x) = (x - 2)^2. Now let's set up the integrals needed to find the areas.
Area 1:
[tex]A\frac{}{1} = ∫g(x)dx = ∫xdx = \frac{1}{2} {x}^{2} | \frac{2}{0} = 2[/tex]
Area 2:
[tex]A\frac{}{2} = ∫(g(x) - f(x))dx[/tex]
[tex]= ∫(x - {(x - 2)}^{2} )dx[/tex]
[tex] = ∫( - {x}^{2} + 5x - 4)dx[/tex]
[tex]= ( - \frac{1}{3}{x}^{3} + \frac{5}{2} {x}^{2} - 4x) | \frac{4}{2}[/tex]
[tex] = 2.67 - ( - 0.67) = 3.34[/tex]
Therefore, the area of the shaded portion of the graph is
A = A1 + A2 = 5.34
what is the value of the x in the given diagram?
Answer:
x = 79
Step-by-step explanation:
All triangles have a sum of 180°. Knowing this, we can solve for the unknown angle.
56 + 23 + ? = 180
79 + ? = 180
? = 101
The variable x is known as an exterior angle. That and the angle we just solved for are supplementary meaning they add up to 180°.
101 + x = 180
x = 79
Answer:
79 degrees
Step-by-step explanation:
56 + 23 = 79
What is ((-1²-3)²+2•8
Solve the inequality and write the solution set using both set-builder notation and interval notation. -3a-15≤-2a+6
Answer:
Set builder notation: {a | a ≥ -21}
Interval notation: [-21, ∞)
Step-by-step explanation:
A set represents a collection of things, objects, or numbers. A set builder notation is in the form y = {x | x is an odd number between 8 and 10}, which means y contains all the odd numbers between 8 and 10.
Interval notation is a way to define a set of numbers between a lower limit and an upper limit using end-point values. for example (8, 20) means numbers between 8 and 20.
Given -3a-15≤-2a+6; solving :
-3a - 15 ≤ -2a + 6
-3a + 2a ≤ 6 + 15
-a ≤ 21
dividing through by -1:
a ≥ -21
The solution is:
Set builder notation: {a | a ≥ -21}
Interval notation: [-21, ∞)
The table shows the first three terms of a
geometric sequence. Which of the following is a
formula for f(n) ?
Answer: E
Step-by-step explanation:
By using substitution we can find the answer is correct or not.
[tex]3(-2)^n\\3(-2)^1\\3(-2)\\-6\\3(-2)^2\\3(4)\\12\\3(-2)^3\\3(-8)\\-24[/tex]
as you can see the equation in answer E worked every time
What is the radius of the quarter if the area is about 452.16 square millimeters ? Use 3.14 for pi. Do not label. Do not round.
Answer:
Step-by-step explanation:
Im not sure but i think
452.16/3.14.= 3.14r^2/3.14
144(square root sign) = squarw root sign r^2)
12=r
If P dollars is deposited in an account paying R percent annual interest, approximate the amount in the account after x years.
P = $1600, R = 8%, x = 16
The amount in the account after 16 years is approximately
Answer: $3648
Step-by-step explanation:
Firstly, we have to calculate the interest which will be:
= Principal × Rate × Time
= $1600 × 8% × 16
= $1600 × 0.08 × 16
= $2048
Therefore, the amount in the account after 16 years will be:
= Principal + Interest.
= $1600 + $2048
= $3648
HELP PLEASEEEEEEEE !!!
Create a list of steps, in order, that will solve the following equation.
(a + 5)2 -
:-1=3
Solution steps:
FIN
As
Add 1 to both sides
Multiply both sides by 4
MY
Multiply both sides by
1
4
Col
Subtract 1 from both sides
MY
Subtract 5 from both sides
Pro
Square both sides
Pro
Take the square root of both sides
Tea
Report a problem
In the figure below, AB is a diameter of circle P.
What is the arc measure of minor arc AC in degrees?
Answer:
111degrees
Step-by-step explanation:
ArcAC + arcBC = 180
Given theat arcBC = 69degrees
arcAC + 69 = 180
arcAC = 180 - 69
arcAC = 111
Hence the length of minpr arc AC is 111degrees
alguien me lo puede de hacer
Answer:
..........
Step-by-step explanation:
[tex]\pi[/tex]
The lines shown below are parallel. If the green line has a slope of -3/7, what is
the slope of the red line?
A. -3/7
B. 7/3
C. -7/3
D. 3/7
What is the midpoint of the segment shown below? (1,2) (1, -5)
A. (1, - 3/2)
B. (2, - 3/2)
C. (1,-3)
D. (2, -3)
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Answer:
A. (1, - 3/2)
Step-by-step explanation:
The coordinate of the midpoint is the average of the endpoint coordinates.
M = (A +B)/2
M = ((1, 2) +(1, -5))/2 = (1+1, 2-5)/2 = (2, -3)/2
M = (1, -3/2) . . . . . matches choice A
Answer:
A. (1, - 3/2)
Step-by-step explanation:
$250 is invested in an account earning 6.8% interest (APR), compounded monthly. Write a function showing the value of the account after tt years, where the annual growth rate can be found from a constant in the function. Round all coefficients in the function to four decimal places. Also, determine the percentage of growth per year (APY), to the nearest hundredth of a percent.
Answer:
36123.5994797
Identify the hypotheses and conclusion of this conditional statement: If two lines intersect at right angles, then the two lines are perpendicular
Answers:
hypothesis = two lines intersect at right anglesconclusion = the two lines are perpendicular=================================================
Explanation:
Any conditional statement is of the form "If P, then Q"
P is the hypothesis, which is the initial set up to lead to the conclusion Q
As an example, the sentence "If it rains, then it gets wet on the road" has P = "it rains" as the hypothesis and Q = "it gets wet on the road" as the conclusion.
-------------
In short, the format is "If hypothesis, then conclusion".
Find the volume of the composite space figure to the right to the nearest whole number.
LOOK AT THE PICTURE!!!
I NEED IT ASAP PLEASE
Answer:
126 cubic cm
Step-by-step explanation:
6 x 7 x 2 = 84
2 x 3 x 7 = 42
84 + 42 = 126
(i separated the shape to two rectangular prisms)
What is the equation of the line graphed below?
Answer: [tex]y=-\frac{1}{3}x[/tex]
Step-by-step explanation:
From the origin we can see to get to the point plotted we have to go down 1 and right three giving us the slope [tex]\frac{-1}{3}[/tex]
These are in the form of y=mx+b
b is the y-intercept and m is the slope
since the y-intercept is 0 b is 0 and isn't need leaving us with y=mx
We can put our slope into the equation giving us the answer in C
The required equation of the line is that passing through the point (3, -1) is y = -x/3.
Given that,
To determine the equation of the line that passes through the origin and a point (3, -1).
The slope of the line is a tangent angle made by line with horizontal. i.e. m =tanx where x in degrees.
Here,
Since the line passes from the origin and a point (3, -1)
So, the slope of the line is given by,
m = (y₂ - y₁) / (x₂ - x₁)
Substitute the respective values in the above equation,
m = -1 + 0 / 3 - 0
m = -1/3,
Now the point-slope form of the equation of a line is,
y - y₁ = m (x - x₁)
Substitute the respective values in the above equation,
y + 1 = -1/3 (x - 3)
y = -x/3
Thus, the required equation of the line is that passing through the point (3, -1) is y = -x/3.
Learn more about slopes here:
https://brainly.com/question/3605446
#SPJ2
What is the value of x to the nearest tenth ?
Answer:
4.7 to nearest tenth.
Step-by-step explanation:
By Pythagoras:
8^2 = x^2 + 6.5^2
x^2 = 8^2 - 6.5^2
x^2 = 64 - 42.25 = 21.75
x = √21.75
= 4.6637
You roll two fair dice. Find the probability that the first die is a 6 given that the minimum of the two numbers is a 2.
Answer:
1/9 = 0.1111 = 11.11% probability that the first die is a 6 given that the minimum of the two numbers is a 2.
Step-by-step explanation:
Conditional Probability
We use the conditional probability formula to solve this question. It is
[tex]P(B|A) = \frac{P(A \cap B)}{P(A)}[/tex]
In which
P(B|A) is the probability of event B happening, given that A happened.
[tex]P(A \cap B)[/tex] is the probability of both A and B happening.
P(A) is the probability of A happening.
In this question:
Event A: Minimum of the two numbers is 2.
Event B: First die in a 6.
Fair dice:
Each throw has 6 equally likely outcomes. Thus, in total, there are [tex]6^2 = 36[/tex] possible outcomes.
Minimum of the two numbers is a 2.
(2,2), (2,3), (3,2), (2,4), (4,2), (2,5), (5,2), (2,6), (6,2).
9 total outcomes in which the minumum of the two numbers is a two, which means that:
[tex]P(A) = \frac{9}{36}[/tex]
Minimum of the two numbers is a 2, and the first die is a 6.
Only one possible outcome, (6,2). So
[tex]P(A \cap B) = \frac{1}{36}[/tex]
Probability that the first die is a 6 given that the minimum of the two numbers is a 2.
[tex]P(B|A) = \frac{P(A \cap B)}{P(A)} = \frac{\frac{1}{36}}{\frac{9}{36}} = \frac{1}{9} 0.1111[/tex]
1/9 = 0.1111 = 11.11% probability that the first die is a 6 given that the minimum of the two numbers is a 2.
Suppose aggressive behavior is the dependent variable in a regression model and the other variables are independent variables. Is there evidence of extreme Multicollinearity
Answer and explanation:
Multicollinearity happens when multiple independent variables are correlated and therefore it is hard to determine which independent variable has the most impact or is most significantly affecting the dependent variable. This could be a source of confusion as the coefficients become less reliable.
Extreme multicollinearity occurs when there is exaggerated standard errors or increased variance of coefficient estimates.
Quadratics by taking square roots: With Steps
Create a list of steps, in order, that will solve the following equation.
3(x + 2)2 = 48
Solution steps:
FIN
As:
Add 2 to both sides
Divide both sides by 3
MY
Multiply both sides by 3
Col
Subtract 2 from both sides
MY
Square both sides
Take the square root of both sides
Pro
Pro
Answer:
yan ata un nd ko sure hehe
Write a cosine function that has an amplitude of 3, a midline of 2 and a period
Answer:
f(x) = 3 cos (2Pi / period value ; x )+ 2
or see answer using 2 as the period see answer in bold below.
Step-by-step explanation:
cosine function amplitude of 3 is A = 3
The period is used to find B
You need to show period value as the denominator and work out from there with 2PI as a function numerator to show as 2pi / period can be a data angle
C is the adding value.
Acos (Bx) + C
A = 3
Bx = 2 pi / period
C = + 2
However f 2 is also the period found
then we just plug in 2 to above formula
f(x) = 3 cos (2Pi / 2 ; x )+ 2
f(x) = 3cos (x pi) + 2
Two cyclists, 68 miles apart, start riding toward each other at the same time. One cycles 3 miles per hour faster than the other, and they meet after 4 hours of riding.
a. Write an equation using the information as it is given above that can be solved to answer this problem. Use the variable r to represent the speed of the slower cyclist. __________________
b. What are the speeds of the two cyclists? __________________
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Answer:
a) r + (r+3) = 68/4 . . . . equation to answer the question
b) r = 7, r+3 = 10 . . . miles per hour
Step-by-step explanation:
a. The combined speed of the two cyclists is found from the time it takes for them to close the distance between them. The faster cyclist is traveling at (r+3) miles per hour.
speed = distance/time
r + (r+3) = 68/4 . . . . an equation to answer the problem
__
b. Solving the above equation helps us answer the question
2r +3 = 17 . . . simplify
2r = 14 . . . . . subtract 3
r = 7 . . . . . . divide by 2
r+3 = 10
The speeds of the two cyclists are 7 miles per hour and 10 miles per hour.
- Susan drives north on the 405 Freeway at 50
miles per hour. Two hours after Susan
passes under Westminster Blvd, Maria
enters the 405 Freeway at Westminster Blvd
and heads north at 60 miles per hour. If both
cars maintain their average speeds, how long
will it take Mary to catch up with Susan?
Answer:
If both cars maintain their average speeds, it will take 12 hours for Mary to catch up with Susan.
Step-by-step explanation:
Since Susan drives north on the 405 Freeway at 50 miles per hour, and two hours after Susan passes under Westminster Blvd, Maria enters the 405 Freeway at Westminster Blvd and heads north at 60 miles per hour, if both cars maintain their average speeds, to determine how long will it take Mary to catch up with Susan the following calculation must be performed:
Hour 1 = 50
Hour 2 = 100
Hour 3 = 150 - 60
Hour 4 = 200 - 120
Hour 5 = 250 - 180
Hour 6 = 300 - 240
Hour 7 = 350 - 300
Hour 8 = 400 - 360
Hour 9 = 450 - 420
Hour 10 = 500 - 480
Hour 11 = 550 - 540
Hour 12 = 600 - 600
Therefore, if both cars maintain their average speeds, it will take 12 hours for Mary to catch up with Susan.
What’s the answer to this? I need to do this for extra credit and I have no idea what this is
9514 1404 393
Answer:
20
Step-by-step explanation:
As with any evaluation problem, take it step by step according to the order of operations.
The first thing you need to do here is compute a#b.
The given definition can be simplified a bit for evaluation purposes:
a#b = a²b -ab² = ab(a -b)
Then for a=3 and b=-2, you have ...
(3)#(-2) = (3)(-2)(3 -(-2)) = -6(5) = -30
Now, you are in a position to evaluate the expression you're asked for.
[tex]\dfrac{(a\#b)^2}{15-(a\#b)}=\dfrac{(-30)^2}{15-(-30)}=\dfrac{900}{45}=\boxed{20}[/tex]