The probability for the experiment of drawing two marbles (without replacement) from a bag containing three green, three yellow, and four red marbles = 0.0111
In this question we need to find the probability for the experiment of drawing two marbles (without replacement) from a bag containing three green, three yellow, and four red marbles.
Total marbles in tha bag
= 3 green marbles + 3 yellow marbles + 4 red marbles
= 10 marbles
the probability of drawing one marble from a bag,
P1 = 1/10
Now there are 9 marbles in the bag.
So, the probability of drawing second marble would be,
P2 = 1/9
So, the required probability of drawing two marbles (without replacement) from a bag would be,
P = P1 * P2
P = 1/10 * 1/9
P = 1/90
P = 0.0111
Therefore, the probability of drawing two marbles (without replacement) from a bag = 0.0111
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write an equation in standard form of the line that passes through the given point and has the given slope (-3,2) m=1
Answer: y = 1x + 5
Step-by-step explanation:
This is where the equation; y=mx+b comes in handy.
We are given m, 1.
And we are given a coordinate to plug in.
2=1(-3)+b
2=-3+b
b=5
y = 1x + 5
Answer:
Step-by-step explanation:
The standard form of a line is Ax+By=C. To solve this problem, begin with the point-slope form [tex]y-y_1=m(x-x_1)[/tex]. For this problem, let
[tex](x_1,y_1)=(-3,2)\\m=1[/tex]
Input these values into the point-slope form equation and convert to slope-intercept form,
[tex]y-(2)=(1)[x-(-3)]\\y-2=x+3\\y-2+2=x+3+2\\y=x+5[/tex]
Next, convert slope-intercept form to standard form:
y=x+5
-x+y=5
For standard form, A must be positive. So,
-(x-y)=5
x-y=-5
3
Use the ratio table to find the unit rate with the specified units.
servings per package
Packages 3
Servings
6
13.5 27
The unit rate is
9
40.5
servings per package.
12
54
The unit rate is 2 servings per package
How to determine the unit rateFrom the question, we have the following parameters that can be used in our computation:
Packages Servings
3 6
13.5 27
The unit rate is calculated as
The unit rate = Servings/Packages
Substitute the known values in the above equation, so, we have the following representation
The unit rate = 6/3
Evaluate
The unit rate = 2
Hence, the unit rate is 2
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Decrease £250 by 15%
Answer:
£212.5
Step-by-step explanation:
15% of 250 = 37.5
250 - 37.5 = 212.5
You have one penny, one nickel, one dime, and one quarter. How many different amounts of money can you make using
one or more of these coins?
Answer:
15
Step-by-step explanation:
To find the total number of combinations you can make with these four coins, we have to do 2 to the power of the total amount of coins. This because each coin has two choices: to be included in the combination or not. There are 4 total coins, and 2^4 is 16. There are 16 total combinations. But since one of those possibilities are that none of the coins are included, we subtract 1 from the total, and get 15. There are 15 combinations with 1 or more coins, which each give us different amounts.
Use the factor theorem to determine whether v + 5 is a factor of v 4 + 16v 3 + 8v 2 - 725. No yes.
By factor theorem (v+5) is not a factor of the given polynomial f(v).
What does factor theorem mean?
When thoroughly factoring the polynomials, mathematicians apply the factor theorem. The polynomial's zeros and factors are connected by this theorem.
The factor theorem states that if a is any real number and f(x) is a polynomial of degree n 1 then (x-a) is a factor of f(x) if f(a)=0.
The factor theorem states that
f(x) has a factor (x-k) if and only if f(k) = 0
We are given the following information.
F(v) = v 4 + 16v 3 + 8v 2 - 725
We have to check whether (v+5) is a factor of given polynomial.
( v + 5 ) = ( v - ( - 5 )
f( -5 ) = [tex]( -5 )^{4} + 16( -5)^{3} + 8( -5)^{2} - 725[/tex]
= - 1900
f(-5) ≠ 0
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please help me.
question in screen shot
Answer:
x = -1
Step-by-step explanation:
First of all, we must find the value of what's inside the parentheses.
14 ÷ -2/3 =
14/1 x -3/2 = -42/2 = -21
That means the equation is now:
-21 = 6x - 15
+15 +15
-6 = 6x
-1 = x
If M% of 135 is 54, then M =
Answer:
m = 40
Step-by-step explanation:
m% = 40%
135x40% = 54
What is the sum of all three-digit numbers that can be formed with 2, 5, and 4?
Answer:
a. 2664 Explanation: 543 + 534 + 453 + 435 + 354 + 345 = 2664
Step-by-step explanation:
FIRST CORRECT ANSWER GETS BRAINLIEST
What is the complete factorization of the polynomial below?
x3 + 2x2 + x + 2
Answer: 8x + 2
Step-by-step explanation:
Answer:
8x+2
Step-by-step explanation:
x3+2x2+x+2
=3x+4x+x+2
=8x+2
Jesse’s luggage weighs 55 pounds. The airline says that luggage cannot be more than 30 kilograms. Is her luggage under this limit? Explain.
Answer: yes, her luggage is under limit
Step-by-step explanation:
1 kg = 2.2 pounds
Take 55 divided by 2.2 = 25 kg
25 < 30
Her luggage is under the limit
M. D bought 8 1/2 pound of ham from Excellente Hambaked Shop. She gave 1 3/4 pound of ham to Mr. Chavir. How many pound of ham doe he have left?
Using mathematical operations, we know that 27/4 pounds of Ham are still left with M.D.
What are mathematical operations?An operation is a function in mathematics that transforms zero or more input values into a clearly defined output value.
The operation's arity is determined by the number of operands.
Most people believe that addition, subtraction, multiplication, and division are the four basic operations in mathematics.
So, we know that:
M.D. bought 8½ pounds of Ham.
He gave 1¾ pounds to Mr. Chavir.
Remaining Ham with M.D.:
8½ - 1¾
16+1/2 - 4+3/4
17/2 - 7/4
34 - 7/4
27/4
Therefore, using mathematical operations, we know that 27/4 pounds of Ham are still left with M.D.
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2 cos x - sin x=3/(2 cos x+sin x)
The solution of the trigonometric equation is x = 26.57° or 153.43°
What is a trigonometric equation?A trigonometric equation is an equation that contains the trigonometric ratios.
How to solve for x in the trigonometric equation?Given the trigonometric equation 2cos x - sin x = 3/(2cos x + sin x)
We solve for x in the equation. We proceed as follows.
Since 2cos x - sin x = 3/(2cos x + sin x)
Multiplying both sides by (2cos x + sin x), we have that
(2cos x - sin x)(2cos x + sin x) = 3
Now, we know that (a² - b² = (a + b)(a - b)
Applying this where a = 2cosx and b = sinx, we have that
(2cos x - sin x)(2cos x + sin x) = 3
(2cos x)² - (sin x)² = 3
4cos² x - sin² x = 3
Since sin²x = 1 - cos²x, substituting this into the equation, we have that
4cos² x - sin² x = 3
4cos² x - (1 - cos²x) = 3
4cos² x - 1 + cos²x = 3
4cos² x + cos²x = 3 + 1
5cos²x = 4
cos²x = 4/5
Taking square root of both sides, we have that
cosx = ±√(4/5)
cosx = ±2/√5)
cosx = ±2/√5 × √5/√5
cosx = ±2√5/5
Taking inverse cosine of both sides, we have
x = cos⁻¹(±2√5/5)
x = cos⁻¹(±0.8944)
x = cos⁻¹(0.8944) or x = cos⁻¹(-0.8944)
x = 26.57° or (180 - 26.57)°
x = 26.57° or 153.43°
So, the solution is x = 26.57° or 153.43°
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2 intersecting lines are shown. A line with points T, R, W intersects a line with points S, R, V at point R. Angle T R V is 95 degrees.
mAngleSRW =
°.
The measure of the angle ∠SRW will be 95°.
What is an angle?The inclination is the separation seen between planes or vectors that meet. Degrees are another way to indicate the slope. For a full rotation, the angle is 360 °.
Vertically opposite angle - When two lines intersect, then their opposite angles are equal.
2 converging lines are shown. A line with focuses TRW converges a line with focuses SRV at point R. The angle ∠TRV is 95 degrees.
The angle ∠TRV and the angle ∠SRW are opposite angles. Then we have
∠TRV = ∠SRW
∠SRW = 95°
The measure of the angle ∠SRW will be 95°.
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In exchange for a $300 million fixed commitment line of credit, your firm had agreed to do the following:
1. Pay 1. 85 percent per quarter on any funds actually borrowed
In exchange for a $300 million fixed commitment line of credit, your firm had agreed to pay an up-front commitment fee of .130 percent of the amount of the line.
What is percent?In essence, percentages are fractions with a 100 as the denominator. We place the percent symbol (%) next to the number to indicate that the number is a percentage. For instance, you would have received a 75% grade if you answered 75 out of 100 questions correctly on a test (75/100). Rather than being expressed as a fraction, a percentage is a piece of a whole expressed as a number between 0 and 100. Nothing is zero percent; everything is 100 percent; half of something is 50 percent; and nothing is zero percent.
Here,
Your company had agreed to pay an upfront commitment fee equal to.13% of the line's value in exchange for a $300 million fixed commitment line of credit.
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consider the fate of billy bibbet. what transformations do you see in him after the fishing trip and how does that set up what he does during the party?
Billy suffers from a stutter, so he expresses himself in a manner in which he can be successful.
Doctor Spivey grants McMurphy's request for a pass to take a fishing trip with nine other patients, accompanied by two of his aunts.
Why is McMurphy tired after the fishing trip?
McMurphy adds Rub-a-Dub George, a neat-freak Swedish fisherman and sailor, to the group. Nurse Ratched says they can't go because there isn't enough capacity in one car for all the patients when Candy Starr arrives without her buddy to pick up the patients for their outing.
McMurphy has his own weakness, his self-centeredness. At first he is willing to sacrifice the patients for his own well-being
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A metal block has a mass of 5kg, correct to the nearest 50 grams. find the upper bound
Therefore, the solution to given problem is the density of metal block comes out to be 2717.4 kg/[tex]m^{3}[/tex]
What is density?The substance's density is defined as its mass per unit of volume. Although the Latin letter D can also be utilized, the most popular density symbol is. In mathematics, density is calculated as mass divided by volume:
Here,
Given : mass =5kg
volume = 1.84 x [tex]10^{-3}[/tex]
thus, density = mass/volume
we apply density formula , we get
density = 5/ 1.84 x [tex]10^{-3}[/tex]
density =2717.4 kg/[tex]m^{3}[/tex]
Therefore the density of metal block comes out to be 2717.4 kg/[tex]m^{3}[/tex]
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What is the y-intercept of this line? y=-5x -3 b= [?]
answer:
b=-3
step-by-step explanation:
the equation's format is y=mx+b so b is -3. you can also figure this out if you plug y in as 0. hope that helps!
EXTRA POINTS & BRAINLIEST
Find the indicated side of the triangle? What does A equal to?
i hope you understand cause i can write on a screen
Find the dependent values if the independent values are 2 and 4
Answer:
it is very easy for even a third grader 2x4=8
#9 find the converse, inverse, and contrapositive to the following conditional statement: walking in front of a moving car is dangerous to your health
The converse of statement is “If dangerous to your health then walking in front of a moving car”.
The inverse of statement is “If not dangerous to your health then not walking in front of a moving car”.
The contrapositive of statement is “if not walking in front of a moving car then not dangerous to your health."
What is the conditional statement?The definition of a conditional statement refers to its two essential parts, the hypothesis (if) and the conclusion (then).
The given conditional statement is
"walking in front of a moving car is dangerous to your health."
The converse is “If dangerous to your health then walking in front of a moving car”.
The inverse is “If not dangerous to your health then not walking in front of a moving car”.
The contrapositive is “if not walking in front of a moving car then not dangerous to your health."
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which could be here equestion of X = 10
How to graph slope 1 passing through line (3,3)
Answer:
Step-by-step explanation:
y - 3 = x - 3
y = x
A bowl contains x cups of milk. Mrs. Medina used 2.15 cups for her cereal. The bowl now contains 1.30 cups of milk. How much milk was in the bowl before Mrs. Medina needed some for her cereal?
0.85 cups
3.45 cups
1.30 cups
2.15 cups
Find the equation of a line perpendicular to y=4/3x8 that pae through the point (-8,-4)
The equation of a line perpendicular to y=4/24x that pass through the point (-8, -4) is -6x-4y=16 where x-intercept is -6 and y-intercept is -4.
What is an equation or line?A linear equation is an algebraic equation of the form y=mx+b, where m is the slope and b is the y-intercept, and only a constant and a first-order (linear) term are included. The variables in the preceding equation are y and x, and it is occasionally referred to as a "linear equation of two variables.
What is equation of a straight line?The formula for a straight line is y=mx+c where c is the height at which the line intersects the y-axis, often known as the y-intercept, and m is the gradient.
Given line ;
y=1x/6
now comparing it with y=mx+c to find the value of m and we found;
m1=1/6
now if two lines are perpendicular then,
m1.m2=-1
m2=-6
now finding the equation of line passing through the point (-8, -4)
x1=-8
y1=-4
(y−y1)=m(x−x1)
Y+4=(-6)(x+4)
Y+4=(-6x/4)
Y=(-6x/4)-4
Y=(-6x-16)/4
4y=-6x-16
rearrange;
-6x-4y=16
this is our required value.
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What is 3+3+3x4
Enjoy the points :)
Saying a thanks would be nice
Answer:
18
Step-by-step explanation:
awwww this is so sweet of you! you see this is the type of people we need in the world, kind people like you just wanting to help, thats why I answer questions on brainly not for the points and popularity but to help people out, thank you! <33333
Answer:
If the x is a Times then its 18 but if its not its 3x4+6
Step-by-step explanation:
Mark used a 40% coupon to buy a new game after the discount the cost of the game was 628$
Answer: 251.20
Step-by-step explanation:
∠A and ∠B are adjacent. The sum of their measures is 92°. ∠A measures (2x+5)°. ∠B is three times the size of ∠A.
Write an equation to determine the value of x. Then solve your equation and find the measures of both angles.
Enter the correct answers in the box.
The equation use to determine the value of [tex]x[/tex] is [tex](2x+5)+3(2x+5)=92[/tex].
The measures of [tex]\angle A, \angle B[/tex] are [tex]23^\circ, 69^\circ.[/tex]
Let us assume the measures of [tex]\angle A, \angle B[/tex] are [tex]z, y[/tex].
Now according to the question, we can write the relation between [tex]\angle A, \angle B[/tex] is [tex]y=3z....(i)[/tex].
We know, the measure of [tex]\angle A[/tex] is [tex]2x+5[/tex] so [tex]2x+5=z....(ii)[/tex]. Now, we will substitute the value of [tex]z[/tex] from equation [tex](ii)[/tex] in equation [tex](i)[/tex].
[tex]y=3z\\= 3 \times (2x+5)\\=6x+15[/tex]
So, the final equation will be [tex](2x+5)+3(2x+5)=92[/tex]
⇒ [tex]6x+15+2x+5=92[/tex]
⇒ [tex]8x+20=92[/tex]
⇒ [tex]8x=72[/tex]
⇒ [tex]x=9[/tex]
[tex]\therefore[/tex] measure of [tex]\angle A[/tex] is [tex]2x+5=(2 \times 9)+1=25[/tex] and measure of [tex]\angle B[/tex] is [tex]2 \times 23 = 69[/tex].
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Help i need this asap!
Answer: x[tex]\geq[/tex]1
Step-by-step explanation:
x is all the numbers equal to or less than 1. The closed dot means its less than or equal to and the dot is on 1. It cant be more than 1, because the arrow shows that all those numbers are greater than one and cant be x.
Determine the slope from the table given below. x 4 5 6 7 y 6 12 18 24
to get the slope of any straight line, we simply need two points off of it, let's use the ones in the picture below.
[tex](\stackrel{x_1}{5}~,~\stackrel{y_1}{12})\qquad (\stackrel{x_2}{7}~,~\stackrel{y_2}{24}) ~\hfill \stackrel{slope}{m}\implies \cfrac{\stackrel{rise} {\stackrel{y_2}{24}-\stackrel{y1}{12}}}{\underset{run} {\underset{x_2}{7}-\underset{x_1}{5}}} \implies \cfrac{ 12 }{ 2 } \implies \text{\LARGE 6}[/tex]
If 250 kilograms of corn are needed to feed 5,000 chickens, how many
chickens can be fed with 140 kilograms of corn?
The number of chickens that can be fed with 140 kg of corn is 2800.
What is an equation?An equation is a mathematical statement that is made up of two expressions connected by an equal sign.
Example:
2x = 8 is an equation.
We have,
250 kg corn = 5000 chicken
Multiply 140/250 on both sides.
140 kg of corn = 140/250 x 5000 chicken
140 kg of corn = 2800 chicken
Thus,
2800 chickens can be fed with 140 kg of corn.
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