A bag contains 3 red marbles, 4 blue marbles and 5 green marbles. If two marbles are drawn out of the bag, what is the probability, to the nearest 1000th, that both marbles drawn will be red?

The points represent that Wanda should sew 16 small gloves and 2 pairs of large gloves to maximize the profit.

The mathematical expression for inequality states that neither side is equal. In mathematics, inequality occurs when the relationship results in a non-equal comparison between two expressions or numbers. Any of the inequality symbols, such as greater than (>), less than (<), greater than or equal to (≥), less than or equal to (≤), or not equal to (≠), can take the place of the equal sign "=" in this expression.

Given  Wanda sews small and large gloves,

time for small gloves = 45 minutes

time for large gloves = 120 minutes

total time = 16 hours = 960 minutes

let x be the number of small gloves and y be the number of large gloves,

inequality equation is 45x + 90y ≤ 960

and cost of small gloves = $2

cost of large  gloves = $4

total amout = $40

equation 2x + 4y ≤ 40

and the points (16, 2)

the points explain they are the minimum quantity of small and large gloves to maximize the profit the number of small gloves should not be less than 16 and the number of large gloves should not be less than 2.

Hence points (16, 2) explain the values of x and y.

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the complete question is in image.

The sample space for rolling a fair seven-sided die is S = {1, 2, 3, 4, 5, 6, 7}.

Given that,

A fair seven sided die is rolled.

We have to find the sample space of the rolling.

A sample space is a set of all the possible outcomes in a random experiment. It is usually denoted by the letter, S.

The subset of the sample space are events.

The die has the numbers marked from 1 to 7.

So when we roll the die,

The possible numbers are 1, 2, 3, 4, 5, 6, 7

Sample space = {1, 2, 3, 4, 5, 6, 7}

Hence the sample space is {1, 2, 3, 4, 5, 6, 7}.

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180 - 115 = 65

4k + 5 + 6k + 10 + 65 = 180

10k + 80 = 180

10k = 100

k = 10

The measurement of altitude BE is 4 unit.

As the average level of the sea's surface, sea level is used to measure altitude. A high altitude is defined as being significantly higher than sea level, such as Mount Everest. It is referred to as having a low altitude when something is closer to the ground, like a plane coming in to land.

As ABCD is rectangle

AD = BC = 12

ΔABC = ΔBCD

BE = FD

5² = 3²+BE²

AE = 3

BE = √(5²-3²)

BE = 4

Thus, The measurement of altitude BE is 4 unit.

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Answer: 2/3

Step-by-step explanation:

    We will turn all of these fractions into decimals by dividing to compare them easier.

3/5 ➜ 0.6

20/100 ➜ 0.2

6/10 ➜ 0.6

1/2 ➜ 0.5

2/12 ➜ 0.16666

2/3 ➜ 0.6666

    0.6666 > 0.6, so 2/3 > 3/5

    This means our answer is 2/3

Answer:

A'=(3,-2) B'=(-1,-4) C'=(-5,-3)

Step-by-step explanation:

90 degrees counterclockwise uses (-y,x) so you just plug in the negative y value in the x spot and the x value in the y spot

Answer:

24576

Step-by-step explanation:

first find the 2nd term, u1 *u3 r u2^2

hence u2 = 24

then find the common ratio

24/ 6 = 96/24 = 4

now complete the formula

6 * 4^(n-1)

now sub in 7 for n

you get 24576

The correct option is OA. y+4= -3(x-3). L 4.6.3 Test (CST): Linear Equations Solution: We are given that a line passes through (3,-4) and has a slope of -3.

We will use point slope form of line to obtain the equation of liney - y1 = m(x - x1).

Plugging in the values, we get,y - (-4) = -3(x - 3).

Simplifying the above expression, we get y + 4 = -3x + 9y = -3x + 9 - 4y = -3x + 5y = -3x + 5.

This equation is in slope intercept form of line where slope is -3 and y-intercept is 5.The above equation is not matching with any of the options given.

Let's try to put the equation in standard form of line,ax + by = c=> 3x + y = 5

Multiplying all the terms by -1,-3x - y = -5

We observe that option (A) satisfies the above equation of line, therefore correct option is OA. y+4= -3(x-3).

Thus, the correct option is OA. y+4= -3(x-3).

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Answer:

v<-1.3

Step-by-step explanation:

Add 3.9 to -5.2

v<-1.3

Hope this helped!

The solution to the equation is -1.5 or -3/2.

We have the equation:

x² + 3-2x= 1+ x² +5

Combine Terms and subtract x² from both sides:

x² - x² + 3 -2x = 1 + 5 + x² - x²

3 -2x = 1 + 5

Add:

3 -2x = 6

Combine Terms and subtract 3 from both sides:

-2x + 3 -3 = 6 - 3

-2x = 3

Dividing by -2 we get:

x = 3/(-2)

x = -3/2

x = -1.5

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The diameter of the circle is approximately 60 inches.

To explain further, we can use the formula relating the central angle of a sector to the length of its intercepted arc. The formula states that the length of the intercepted arc (A) is equal to the radius (r) multiplied by the central angle (θ) in radians.

In this case, we are given the central angle (225 degrees) and the length of the intercepted arc (30π inches).

To find the diameter (d) of the circle, we need to find the radius (r) first. Since the length of the intercepted arc is equal to the radius multiplied by the central angle, we can set up the equation 30π = r * (225π/180). Simplifying this equation gives us r = 20 inches.

The diameter of the circle is twice the radius, so the diameter is equal to 2 * 20 inches, which is 40 inches. Therefore, the diameter of the circle is approximately 60 inches.

In summary, by using the formula for the relationship between central angle and intercepted arc length, we can determine the radius of the circle. Doubling the radius gives us the diameter, which is approximately 60 inches.

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Rounded answers In Your calculations to find missing measures is given below.

Given: a = 8.72, b = 11.1, c = 11.7

Using the Law of Cosines, we can calculate angle A:

A = arccos((b2 + c2 - a2)/2bc)
A = arccos((11.12 + 11.72 - 8.722)/(2*11.1*11.7))
A = arccos(2.61/265.57)
A = arccos(0.00984)
A = 89.8°

Using the Law of Sines, we can calculate angle B:


Using the Law of Cosines, we can calculate side c:

c2 = a2 + b2 - 2abcos(C)
c2 = 8.722 + 11.12

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The distance between the skew lines P(t) and Q(t) is 21 / √(42) units

To find the distance between the skew lines P(t) and Q(t), we can use the concept of the shortest distance between two skew lines, which can be determined by calculating the distance between a point on one line and the nearest point on the other line.

Given the equations of the two lines:

P(t) = (-1, 0, 5) + t⟨-4, 4, -3⟩

Q(t) = (-1, -1, -5) + t⟨2, 3, 1⟩

To find the direction vectors of the lines, we take the coefficients of t:

Direction vector of P(t): ⟨-4, 4, -3⟩

Direction vector of Q(t): ⟨2, 3, 1⟩

Next, we can take the cross product of the direction vectors to find a vector normal to both lines:

n = ⟨-4, 4, -3⟩ × ⟨2, 3, 1⟩

Calculating the cross product:

n = ⟨-4, 4, -3⟩ × ⟨2, 3, 1⟩ = ⟨-1, -5, -4⟩

This vector n is perpendicular to both lines P(t) and Q(t).

To find the distance between the two lines, we can choose a point on one line (P(t)) and find the perpendicular distance between that point and the other line (Q(t)). Let's choose the point (-1, 0, 5) on line P(t).

The distance between the point (-1, 0, 5) and the line Q(t) is given by the formula:

Distance = |(Q(t) - (-1, 0, 5)) · n| / ||n||

Calculating the distance:

Distance = |((-1, -1, -5) + t⟨2, 3, 1⟩ - (-1, 0, 5)) · ⟨-1, -5, -4⟩| / ||⟨-1, -5, -4⟩||

Simplifying the equation and calculating the magnitude of the vector:

Distance = |(2, 3, 1) · ⟨-1, -5, -4⟩| / √(1^2 + 5^2 + 4^2)

Distance = |(-2 - 15 - 4)| / √(42)

Distance = |-21| / √(42)

Distance = 21 / √(42)

Therefore, the distance between the skew lines P(t) and Q(t) is 21 / √(42) units.

In conclusion, the distance between the skew lines P(t) and Q(t) is 21 / √(42) units.

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The approximate area of the trapezoid is determined as  13.95 unit².

The approximate area of the trapezoid is calculated as follows;

Area = ¹/₂(b₁ + b₂)h

Where;

The y-coordinates of the points on the curve at x=3/2 and x=4 is calculated as follows;

y(3/2) = - (3/2)²/2 + 3/2 + 5

y(3/2) = -9/8 + 3/2 + 5

y(3/2) = 5.375

y(4) = -4²/2 + 4 + 5

y(4) = -8 + 9

y(4) = 1

h = 5.375 - 1 = 4.375

The approximate area of the trapezoid is calculated as;

Area = ¹/₂(5.375 + 1) x 4.375

Area = 13.95 unit²

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Answer:

a decagon is 36° and I'm not sure about the 20-gon sorry

Answer:

See below ~

Step-by-step explanation:

We need to represent the situations as inequalities.

===============================================================

Students can work no more than 23 hours per week

⇒ Let the hours per week be x

⇒ 'no more than' refers to less than or equal to (≤)

⇒ x ≤ 23

=============================================================

Tutors are required to spend at least 2 hours per week

⇒ At least refers to greater than or equal to (≥)

⇒ x ≥ 2

============================================================

Tutors should spend no more than 7 hours per week

⇒ As mentioned before, no more than refers to less than or equal to (≤)

⇒ x ≤ 7

ae need inequalities

#1

No more than means maximum

#2

At least means minimum

#3

No more than is maximum

h≤7

Out of a whole population, a sample is a small part which is considered for any survey.  

The population in this case would be all the one-bedroom apartments available for rent near the college.

The sample would be the listings that Greg is looking at in the local newspaper and on the internet site.

Sample: listings in a local newspaper and on an Internet site              

Population: all available apartments near the college          

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Answer:

Step-by-step explanation:

a.  35 cents

b.  35

Answer:あなたが言うことができるならば、答えは77番目の答えです

Step-by-step explanation: 3

Answer:

103 degrees

Step-by-step explanation:

Since it is a straight line all you have to do is subtract 180 from 77(which is the angle that you know.) If you feel that this helped please give brainliest. Have a nice day!

The rate at which the area of the square is changing when the sides are 'm' meters long is 2m^2 square meters per second.

To determine the rate at which the area of a square is changing, we can use the formulas for the area and differentiate with respect to time.

Let's denote the length of the sides of the square as 's' (measured in meters) and the rate at which the sides are increasing as 'm' (measured in meters per second).

a. To find the rate at which the area of the square is changing when the sides are 's' meters long, we differentiate the area formula with respect to time:

Area = s^2

Differentiating both sides with respect to time, we get:

d(Area)/dt = d(s^2)/dt

Using the power rule of differentiation, we have:

d(Area)/dt = 2s(ds/dt)

Substituting the given information, where ds/dt = m (rate at which the sides are increasing), we can write:

d(Area)/dt = 2s(m)

Therefore, the rate at which the area of the square is changing when the sides are 's' meters long is 2s(m) square meters per second.

b. If we specifically want to know the rate at which the area is changing when the sides are 'm' meters long, we substitute 's' with 'm' in the above equation:

d(Area)/dt = 2m(m)

Simplifying, we have:

d(Area)/dt = 2m^2

Therefore, the rate at which the area of the square is changing when the sides are 'm' meters long is 2m^2 square meters per second.

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Answer:

96 ftsq

Step-by-step explanation:

Assuming the patio is a rectangle, the area is length times width. 8 times 12 is 96

Answer:

9216 sq feet

Step-by-step explanation:

So, if his patio is, let's say, rectangle. The area is WIDTH X HEIGHT X WIDTH X HEIGHT.

your equation would be 12 x 8 x 12 x 8. You plug this into the calculator; the answer above is what you will get.

Answer:

Step-by-step explanation:

\(2 . 4x =\\2 \times 4x\\\mathrm{Multiply\:the\:numbers:}\:2\times \:4=8\\\\= 8x\)

Answer:

No less than 42 lessons

Step-by-step explanation:

To find the total numbers of hours needed to teach, divide the total amount of money needed by the amount of money made an hour.

$894.60/$21.30 = 42

Answer:

5/6

Step-by-step explanation:

To do this you just have to find the LCM (least common multiple)  

2     3

4     6

6    

And the denominator will be 6 and you multiply 1 /3 by 2/2 and 1/2 by 3/3 which is 2/6 and 3/6 and when added you get 5/6

Answer:

3/8

Step-by-step explanation:

Answer:

C: 3/8

Step-by-step explanation:

edg2021

There are a total of 16 outcomes, and 6 of them have equal heads and tails. Simplify and its 3/8

Wayne can buy 2 walking tacos and 4 boxes of popcorn.

====================================================

Explanation:

x = number of tacos

y = number of boxes of popcorn

3x = amount spent on all the tacos only ($3 per taco)

1y = amount spent on all the popcorn only ($1 per box of popcorn)

3x+1y = total amount spent for both food types combined

3x+1y = 10 since Wayne has $10 to spend

The equation solves to y = 10-3x

------------------

If we plugged in x = 2, then,

y = 10-3x

y = 10-3*2

y = 10-6

y = 4

Telling us that x = 2 and y = 4 pair up together. The point (2,4) is on the line y = 10-3x

Since x is the number of tacos and y is the amount of popcorn, this means (x,y) = (2,4) indicates that:

Wayne can buy 2 tacos and 4 boxes of popcorn

This is why the answer is choice (1).

Choice (2) is incorrect because it has the numbers swapped in the wrong spots.

Answer:

The last one

Step-by-step explanation:

Answer: $300

Step-by-step explanation:

To calculate the total revenue from selling oranges, we need to multiply the amount of oranges sold by the price per pound.

In this case, we sold 100 pounds of oranges at $3 per pound. So, the total revenue for that day is:

Total revenue = Amount of oranges sold × Price per pound

Total revenue = 100 pounds × $3

Total revenue = $300