The volume of oil in four different containers is shown below: container
a.5.25 milliliters container
b.5.29 milliliters container
c.5.27 milliliters container
d.5.23 milliliters sue has a measuring cup that can measure to the nearest tenth of a milliliter. if sue measures the oil in each container, the least amount of oil would measure ____ milliliters.

Answers

Answer 1
Let me help you!
What we have right now:
*A 5.25 milliliters container.
*A 5.29 milliliters container.
*A 5.27 milliliters container.
*A 5.23 milliliters container.
*Sue's measuring cup that can measure to the nearest tenth of a milliliter.

What we need to do:
*Find out the least amount of oil after Sue used her measuring cup to measure each oil container.

Solution:
Container A: 5.25mL ---> 5.3mL
Container B: 5.29mL ---> 5.3mL
Container C: 5.27mL ---> 5.3mL
Container D: 5.23mL ---> 5.2mL <---- This is what we are looking for!

Therefore, the correct answer and the container which has the least amount of oil is: D. 5.23 milliliters container.

I hope this helped you :>
Answer 2

Answer:

5.2

Step-by-step explanation:


Related Questions

The Empire State Building is just over 1,450 feet tall. In anticipation of visiting this landmark on your vacation, you create a model of it using blocks.
a. Suppose you are making a model where one block represents 2 feet. About how many blocks tall is your model of the Empire State Building? What is the scale factor?

Answers

You have two given data available here: the actual height of the Empire State Building measuring 1,450 feet, and the height of the block measuring 2 feet. To find how many blocks stacked together would make up 1,450 feet, just divide 1,450 by 2.

Number of blocks=1,450 feet * (1 block/2 feet)
Number of blocks = 725 blocks

Therefore, you would use a model  requiring 725 blocks. The scale factor for the model is 1 block per two feet. 

Answer:

725, 1 per every 2 ft.

Step-by-step explanation:

It gives the actual height for the building, 1,450, and it says one block is two feet. Divide 1,450 by 2 and you'd get 725. And we already know dat one block is two feet so it's 1:2

(why did I start singing ``You Reposted in the Wrong Hero Academia?`` UwUz)

What is the length of a diagonal of a cube with a side length of 3 cm? (ALL OF THE ANSWERS ARE SQUARE ROOTED) 18,27,33,38

Answers

The three dimensional diagonal of a rectangular prism is:

d^2=x^2+y^2+z^2, and since this is a cube, x=y=z=s, and we are told that s=3

d^2=3s^2  and s=3

d^2=3(3^2)

d^2=3(9)

d^2=27

d=√27

Answer:

27

Step-by-step explanation:

i just took the test

how do i solve this??

Answers

area for the hexagon = 1/2*p*a

p = perimeter = 18*6=108

a = apothem = 15.59

108*15.59 = 1683.72/2 = 841.86 sq units

Area of rectangle = 18 x 21 = 378

841.86-378 = 463.86 rounded to 464 square units

How do I find the coordinates of angels lab.

Answers

check the picture below.

thus

[tex]\bf \textit{middle point of 2 points }\\ \quad \\ \begin{array}{lllll} &x_1&y_1&x_2&y_2\\ % (a,b) &({{ 4}}\quad ,&{{ 6}})\quad % (c,d) &({{ x}}\quad ,&{{ y}}) \end{array}\qquad % coordinates of midpoint \left(\cfrac{{{ x_2}} + {{ x_1}}}{2}\quad ,\quad \cfrac{{{ y_2}} + {{ y_1}}}{2} \right)[/tex]

[tex]\bf \left(\cfrac{{{ x}} + {{ 4}}}{2}\quad ,\quad \cfrac{{{ y}} + {{ 6}}}{2} \right)=(\underline{7,2})\implies \begin{cases} \cfrac{x+4}{2}=\underline{7}\\\\ x+4=14\\ x=14-4\\ \boxed{x=10}\\ ----------\\ \cfrac{y+6}{2}=\underline{2}\\\\ y+6=4\\ y=4-6\\ \boxed{y=-2} \end{cases}[/tex]

A-town and b-ville are connected by a straight, 420-mile road. at noon, atu left a-town for b-ville, and brek left b-ville for a-town. if atu travels at 56 miles per hour and brek travels at 49 miles per hour, how many miles apart will atu and brek be 1 hour before they meet?

Answers

Let x be the number of hours it will take for Atu and Brek to meet and cover the total distance of 420. The distance covered is the product of the speed and time. Thus,
 
56x + 49x = 420
105x = 420

The value of x from the derived equation is equal to 4 hours.

One hour less than the number of hours calculated above is 3 hours. The distances covered are calculated below.

Atu = (56 mph)(3 hours)  = 168 miles
Brek = (49 mph)(3 hours) = 147 miles

The total distance covered is equal to 315 miles.

Subtracting this distance from the given total distance.
  difference = 420 miles - 315 miles = 105 miles

ANSWER: 105 miles

Which number line represents the solutions to |x – 2| = 6?

Answers

Since this is an absolute value expression you have to solve for both the positive and negative case.

x-2=6  add two to both sides

x=8

and

x-2=-6 add two to both sides

x=-4

So x=-4 and 8

So the solution on the number line is solid dots as x=-4 and x=8

Answer: D IS THE ANSWER

(01.01) Evaluate −6 − (−3). Answers:18 −9 3 −3

Answers

Because there are two minus signs in the middle of 6 and 3, those two minus signs can be converted to a plus sign.

-6 - (-3) = -6 + 3

-6 + 3

So, -3 is the answer.
the answer to this question is -3 since 2 negatives = a + and a - and a + equal a -

so here since we have -6 - -3 we switch 3 signs 3 becomes positive -6 + 3=-3

and there's your answer

#23 please!!! Thanks

Answers

[tex]\text{gcf}(x^2y^2,xy^3)=xy^2\\\\ xy^2=45\\ [/tex]

45|3
15|3
5|5
1

[tex]xy^2=3^2\cdot5[/tex]

Since x and y are both positive integers, then there's only one possible solution to the above - [tex]x=5,y=3[/tex]

So E.

Ariel has a plastic ice cream cone in her food playset. The ice cream cone is a half-sphere sitting on top of a cone. What is the approximate volume of the toy ice cream cone? Use 3.14 for ππ .

Answers

the approximate volume of the toy ice cream cone is around [tex]\( \frac{32}{3}π \)[/tex]cubic inches, considering the half-sphere as[tex]\( \frac{16}{3}π \)[/tex] and the cone as [tex]\( \frac{16}{3}π \).[/tex]

let's calculate the approximate volume of the toy ice cream cone step by step.

First, we need to determine the volume of the half-sphere, which is the ice cream part.

The formula for the volume of a sphere is:

[tex]\[ V_{\text{sphere}} = \frac{4}{3}πr^3 \][/tex]

But since we only have a half-sphere, we'll divide the result by 2.

Now, we need to find the radius ((r)) of the half-sphere. We can do this by measuring the radius of the ice cream cone's base.

Let's say the radius of the ice cream cone's base is (r = 2) inches.

Substituting the value of (r) into the formula:

[tex]\[ V_{\text{half-sphere}} = \frac{1}{2} \times \frac{4}{3}π(2)^3 \][/tex]

[tex]\[ V_{\text{half-sphere}} = \frac{1}{2} \times \frac{4}{3}π(8) \][/tex]

[tex]\[ V_{\text{half-sphere}} = \frac{1}{2} \times \frac{32}{3}π \][/tex]

[tex]\[ V_{\text{half-sphere}} = \frac{16}{3}π \][/tex]

Now, let's find the volume of the cone part.

The formula for the volume of a cone is:

[tex]\[ V_{\text{cone}} = \frac{1}{3}πr^2h \][/tex]

Where (h) is the height of the cone.

Let's say the height of the cone is (h = 4) inches.

Substituting the values into the formula:

[tex]\[ V_{\text{cone}} = \frac{1}{3}π(2)^2(4) \][/tex]

[tex]\[ V_{\text{cone}} = \frac{1}{3}π(16) \][/tex]

[tex]\[ V_{\text{cone}} = \frac{16}{3}π \][/tex]

Now, to find the total volume of the ice cream cone, we'll add the volumes of the half-sphere and the cone together:

[tex]\[ V_{\text{total}} = V_{\text{half-sphere}} + V_{\text{cone}} \][/tex]

[tex]\[ V_{\text{total}} = \frac{16}{3}π + \frac{16}{3}π \][/tex]

[tex]\[ V_{\text{total}} = \frac{32}{3}π \][/tex]

So, the approximate volume of the toy ice cream cone is [tex]\( \frac{32}{3}π \)[/tex]cubic inches.

Order of operation:3[10-(27 divided by 9)] sorry I don't have the division sign

Answers

PEMDAS (parenthesis, exponents, multiply, divide, add, subtract)

first you do parthesis           (27/9) = 3
then you subtract from 10    [10-3] = 7
then multiply 3 (this is last because it is outside the parenthesis and [ ].
                                           7 x 3 = 21

21 is your answer


hope this helps

Use Gauss-Jordan elimination to solve the following linear system. –4x + 4y + 5z = 9 –2x + 2y + z = 3 –4x + 5y = 4

Answers

The system:
- 4 x + 4 y + 5 z = 9
- 2 x + 2 y + z = 3
- 4 x + 5 y = 4
-------------------------
Let`s take the 1st and the 2nd equation:
- 4 x + 4 y + 5 z = 8
- 2 x + 2 y + z = 3   / * ( - 2 )   / multiply both sides of equation by  - 2 . /
------------------------------------
- 4 x + 4 y + 5 z = 9
+
  4 x - 4 y  -  2 z = - 6
------------------------------
                   3 z = 3   = >  z = 1
Then the 2nd and the 3rd equation:
- 2 x + 2 y = 3 - 1  /  * ( - 2 )
- 4 x + 5 y  =  4
--------------------------------------
   4 x  - 4 y = - 4
+
 - 4 x  + 5 y = 4
----------------------------
              y = 0
- 4 x + 5 * 0 = 4
 - 4 x = 4
    x = - 1
Answer:  x = - 1,  y = 0,  z = 1.
   

Two horses are ready to return to their barn after a long workout session at the track. the horses are at coordinates H(1,10) and Z(10,1). Their barns are located in the same building, which is at coordinates B(-3,-9). Each unit/grid on the coordinate plane represents 100 meters. Which horse is closer to the barn? Justify your answer?

Answers

The given information are the coordinates of points H, Z and B. So, the first step to do is to plot these points on a Cartesian plane as shown in the attached picture. We can deduce visually that horse Z is closer to the barns than horse H. But, to further justify the answer, we have to provide the magnitude of the distance of horses H and Z to barn B. In this approach, we use the distance formula:

d = √(x₂ - x₁)² + (y₂ - y₁)²

Use the coordinates of the two points to know their linear distances. These are represented by the red and green lines for each of the horses.

Distance between H and B = √(⁻3 - 1)² + (⁻9-10)²
Distance between H and B = √(⁻3 - 1)² + (⁻9-10)²
Distance between H and B  = 19.4165

Since the scale is 1 unit = 100 meters, the actual distance between horse H and barn B is 19.416*100 = 1,941.65 meters


Distance between Z and B = √(⁻3 - 10)² + (⁻9-1)²
Distance between Z and B = √(⁻3 - 10)² + (⁻9-1)²
Distance between Z and B  = 16.4012

Since the scale is 1 unit = 100 meters, the actual distance between horse Z and barn B is 16.4012*100 = 1,640.12 meters

Comparing the distances: 1,941.65 meters > 1,640.12 meters. Therefore, it justifies that horse Z is nearer to the barn.

2x+7=12x-6 looking for x

Answers

Hey!

Let's start by writing the problem:
[tex]2x+7=12x-6[/tex]
Subtract 7 from both sides.
[tex]2x+7-7=12x-6-7[/tex]
[tex]2x=12x-13[/tex]
Subtact 12x from both sides.
[tex]2x-12x=12x-13-12x[/tex]
[tex]-10x=-13[/tex]
Divide both sides by -10.
[tex]\frac{-10x}{-10}=\frac{-13}{-10}[/tex]
[tex]x=\frac{13}{10}[/tex]

Let me know if you have any questions regarding this problem!
Thanks!
-TetraFish
2x+7=12x-6  subtract 12x from both sides

-10x+7=-6  subtract 7 from both sides

-10x=-13  divide both sides by -10

x=13/10

x=1.3

The graph of f(x)=x^2 has been shifted into the form f(x)=(x-h)^2+k

What is the value of h?:
A. 1
B. -1
C. -3
D. 3

Answers

The answer is D because if you look at the graph the order pairs are (3,3). I substitute h for 3 and substitute k for 3. That's why D is the answer.

Answer:

D. 3

Step-by-step explanation:

Here h represents the horizontal shift. In the given graph, the graph shifted 3 units to the right from the origin.

Therefore, h = 3.

Answer: D. 3

Hope this will helpful.

Thank you.

Two mechanics worked on a car. the first mechanic worked for 20 hours, and the second mechanic worked for 5 hours. together they charged a total of $1900 . what was the rate charged per hour by each mechanic if the sum of the two rates was $155 per hour?

Answers

20x + 5y = 1900
x + y = 155....multiply by -20
----------------
20x + 5y = 1900
-20x - 20y = - 3100 (result of multiplying by -20)
--------------add
-15y = -1200
y = -1200/-15
y = 80 <== 80 per hr for the mechanic that worked 5 hrs

x + y = 155
x + 80 = 155
x = 155 - 80
x = 75 <== 75 per hr for the mechanic that worked 20 hrs

what is 345,000 in expanded form

Answers

300,000 + 40,000 + 5,000
Hi!

To put something in expanded form, start with the first digit, and turn the rest of the numbers to 0s, add it to the second digit, also turning the numbers to the right to 0s, and si on and so on.

300,000 + 40,000 + 5,000 (the rest are just zeroes so..)

The answer is 300,000 + 40,000 + 5,000

Hopefully this makes sense, and good luck! :)

Which of the following are geometric sequences? Check all that apply. A. 10, 5, 2.5, 1.25, 0.625, 0.3125 B. 5, 10, 20, 40, 80, 160 C. 3, 6, 9, 12 ,15, 18 D. 1, 3, 9, 27, 81

Answers

The options that are geometric progressions are:

D. 1, 3, 9, 27, 81A. 10, 5, 2.5, 1.25, 0.625, 0.3125B. 5, 10, 20, 40, 80, 160

What is a geometric progression?

This is a progression of numbers which usually have a defined ratio that is between them.

The ratio in the options above are:

[tex]\frac{1}{2} , \frac{3}{1} , \frac{2}{1}[/tex]

Read more on geometric progressions here:

https://brainly.com/question/12006112

Answer:it’s a,c,d

Step-by-step explanation:

A coin is tossed 20 times. A person, who claims to have extrasensory perception, is asked to predict the outcome of each flip in advance. She predicts correctly on 14 tosses. What is the probability of being correct 14 or more times by guessing? Does this probability seem to verify her claim?

Answers

Final answer:

To calculate the probability of correctly predicting 14 or more coin tosses out of 20, we can use the binomial probability formula.

Explanation:

To calculate the probability of correctly predicting 14 or more coin tosses out of 20, we can use the binomial probability formula. The probability of getting exactly k successes in n independent trials with a probability p of success in each trial is given by:

P(X = k) = C(n, k) * p^k * (1 - p)^(n - k)

Where C(n, k) is the binomial coefficient, n! / (k! * (n - k)!), p is the probability of success (0.5 for a fair coin), and n is the number of trials (20 tosses).

To find the probability of getting 14 or more successes, we need to sum the probabilities of getting 14, 15, 16, ..., 20 successes.

P(X >= 14) = P(X = 14) + P(X = 15) + P(X = 16) + ... + P(X = 20)

We can calculate these probabilities and then add them together to get the overall probability.

Learn more about Probability here:

https://brainly.com/question/32117953

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Suppose x=10 and y=10. what is x after evaluating the expression (y>= 10)||(x++ >10)? java

Answers

Suppose x=10 and y=10. what is x after evaluating the expression (y>= 10)||(x++ >10)? java
Answer is 10
Final answer:

The value of x remains 10 after evaluating the Java expression (y >= 10)||(x++ > 10) due to short-circuit evaluation, as the first condition y >= 10 is true.

Explanation:

The student is asking about the value of x after evaluating the Java expression (y >= 10)||(x++ > 10) given that x=10 and y=10. The double pipe || represents a logical OR operator, which evaluates to true if at least one of the operands (conditions) is true. Since y >= 10 is true because y is equal to 10, the OR expression is true, and Java does not evaluate the second operand due to short-circuit evaluation. Short-circuit evaluation means that in an OR expression, if the left-hand side is true, the right-hand side is not evaluated, which in this case means that x++ is not executed. Therefore, x remains 10.

A computer company makes a rectangular screen with a diagonal of 20 inches. The width of the screen is 4 inches less than its length. The dimensions of the computer screen are modeled by the equation x2 + (x – 4)2 = 202. What is the value of x, the length of the screen?

A.) x = –16

B.) x = –12

C.) x = 12

D.) x = 16

*The answer is D, x=16. If anyone wants to answer with an explanation of how this is the answer, I will reward them with brainliest.*

Answers

  x^2 +(x-4)^2 =20^2

  x^2 +(x-4)^2 =400

x^2 +(x-4)^2 -400=0

factor:

2x^2-8x-384=0

Factor the 2 out of 2X^2

2(x-16) (x+12) =0

 Divide both sides by 2

(x-16) (x+12) =0

X=16 , x=-12

 Number cannot be negative so x=16


Answer:  D.) x = 16

Step-by-step explanation:

Given: The dimensions of the computer screen are modeled by the equation :

[tex]x^2+(x-4)^2=20^2[/tex]

To find the value of x , we need to solve the equation.

Now, the above equation can be written as :

[tex]x^2+x^2+16-8x=400\\\\\Rightarrow\ 2x^2-8x+16=400\\\\\Rightarrow2x^2-8x+384=0\\\\\Rightarrow\ 2(x^2-4x+192)=0\\\\\Rightarrow\ x^2-4x+192=0\\\\\Rightarrow(x-16)(x+12)=0\\\\\Rightarrow\ x=16\ or\ x=-12[/tex]

Since side cannot be negative therefore, x= 16

what is the slope of the line that passes through (1,4) and (1,-3)?

A. 7
B. -7
C. undefined
D. 0

Answers

Use formula of a slope.

M = y2 - y1 / x2 - x1
    = -3 - 4 / 1 - 1
    = -7 / 0
    = undefined.

Therefore the answer is C.
The first point is (1,4) which means (x1,y1) = (1,4). So,
x1 = 1
y1 = 4

The second point is (1,-3) meaning that (x2,y2) = (1,-3). So,
x2 = 1
y2 = -3

Now use the slope formula. Plug in those four values mentioned above

m = (y2 - y1)/(x2 - x1)
m = (-3 - 4)/(1 - 1)
m = -7/0

This is where we run into issues. The denominator is 0. We CANNOT divide by zero. So the result is undefined.

Your calculator may say "UND" for "Undefined", it might say "NaN" for "Not a Number", or it might produce some other type of error. 

Answer: Choice C) undefined

Note: if you draw a line through the two given points, the line is completely vertical

Find the volume of each figure to the nearest tenth. Show your work. please

Answers

Sphere volume: [tex] \frac{4}{3} \pi r^3[/tex]

[tex] \frac{4}{3} \pi 6^3 [/tex]

[tex] \frac{4}{3}*216 \pi [/tex]

[tex]288 \pi [/tex]

V = 288π = 288*3,14 = 904,3 m³

Cone volume: [tex] \frac{ \pi r^2h}{3} [/tex]

We don't have the height, so we should find it firstly.

Watch the triangle "inside" the cone. It is a right triangle. The apothem is the hypothenuse and the radius is the shortest leg.

Apply Pitagora.

h (longest leg) = √13²-5² = √169-25 = √144 = 12 m

V = [tex] \frac{ 5^2*12 \pi}{3} [/tex]

[tex] \frac{25*12* \pi }{3} [/tex]

[tex] \frac{300 \pi }{3} [/tex]

(300*3,14)/3 = 942/3 = 314 m³

Parallelepiped volume: a*b*h

a = 11, b = 5, h = 6

V = 11*5*6 = 330 cm³

if the reserve rate is 3% and a bank receives a deposit of 16,000 how much of the 16,000 is the bank free to loan out?

Answers

that means the bank keeps 3% and can loan out 97% of the total

 16000*0.97 = $15,520 can be loaned out

Jerome earns $200 per month plus $12 for bike he sells at the bike shop.This month, he wants t6o earn at least $400. Whats the least bikes that jerome can sell to reach his goal.

Answers

The total amount that Jerome would earn is the sum of the basic salary and the commission he gets based on the number of bikes he is able to sell. 

Let x be the number of bikes he sold. With this representation, the total commission he will get is 12x.

The sum of 200 and 12x should be greater than 400. The equation that best represent the given is scenario is,
200 + 12x > 400
Transposing 200 to the other side of the equation,
12x > 400 - 200
Simplifying,
12x > 200
Dividing the equation by 12 will give us the final answer of,
x > 16.67

ANSWER: 17 bikes

Why are techniques like cluster sampling and multistage sampling just as externally valid as simple random sampling?

Answers

Due to the fact that they all contain elements of random selection, techniques like cluster sampling and multistage sampling are just as externally valid as simple random sampling due to the fact that they all contain elements of random selection.

Cluster sampling are more or less alike, each heterogeneous and resembling the overall population. The population is split into representative clusters, then a selection is done one or few from the clusters, then lastly, a census is performed with those selected clusters.

In multistage sampling, several methods are combined in sampling schemes and occasionally utilized the same method or different methods or more than once. Though they have different steps in being done, they both have random selection elements. 

Tables of values for f(x) and g(x) are given below. Write g(x) as a transformation of f(x).

Answers

From the given table, it is clear that if
[tex]x_{g} = x_{f} + 8[/tex]
then the values of f and g match.

Therefore
f(x+8) = g(x)
or
g(x) = f(x+8)

The required transformation is a left shift in x by -8 units for f(x).
A composite graph of f(x+8) and g(x) confirms that the transformation is correct.

What is the simplified form of 30 times x to the sixth power over 14 times y to the fifth power times the fraction 7 times y-squared over 6 times x to the fourth power ?

Answers

If we convert the given in its mathematical form, we have,

                      (30x⁶/14y⁵)(7y²/6x⁴)
It can be observed that the numerator of the first and the denominator of the second have a common factor of 6x⁴. Also, the denominator of the first and the numerator of the second expression have a common factor of 7y².

                      ((6x⁴)(5x²)/(7y²)(2y³))(7y²/6x⁴)

Cancellation of the common terms will give us an answer of,
  
                               5x²/2y³

Therefore, the simplified version of the involved operation is 5x²/2y³. 

Find the arc length of a central angle of pi/4 in a circle whose radius is 8 inches

A) pi/32 in
B) 2pi in
C) 360 in
D) 60 in

Answers

The formula of the arc is:

Arc Length = 2πR.(C°/360°), where R is the radius, C°(in degrees) is the central angle of the arc:

We are given:
R = 8 in
Central angle = π/4 ≈ (180°/4) = 45°
Length of the arc= 2π x 8 x (45°/360°) →16π(1/8) :

Length of the arc = 2π in (answer B)

The arc length of a central angle of π/4 in a circle whose radius is 8 inches is 2π inches. Therefore, option B is the correct answer.

What is arc length of a circle?

The arc length is defined as the interspace between the two points along a section of a curve. An arc of a circle is any part of the circumference. The angle subtended by an arc at any point is the angle formed between the two line segments joining the center to the end-points of the arc.

The formula to find the arc length of a circle is θ/360° ×2πr.

Given that, θ=π/4 =180/4 = 45° and radius = 8 inches.

Now, arc length = 45°/360° ×2×3.14×8

= 1/8×2×3.14×8

= 6.28 inches or 2π inches

Therefore, option B is the correct answer.

Learn more about the arc length of a circle here:

https://brainly.com/question/1577784.

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A family has 8 girls and 4 boys. A total of 2 children must be chosen to speak on the behalf of the family at a local benefit. What is the probability that 2 girls and no boys are chosen?

A. 7/55
B. 14/33
C. 12/33
D. 1/6

Answers

P(GG)=(8/12)(7/11)

P(GG)=56/132

P(GG)=14/33

Answer:  The correct option is (B) [tex]\dfrac{14}{33}.[/tex]

Step-by-step explanation:  Given that a family has 8 girls and 4 boys. A total of 2 children must be chosen to speak on the behalf of the family at a local benefit.

We are to find the probability that 2 girls and no boys are chosen.

Total number of children in the family = 8 + 4 =12.

Let S denote the sample space of choosing 2 children from the family of 12 children and A denote the event of choosing 2 girls and no boys.

Then, according to the given information, we have

[tex]n(S)=^{12}C_2=\dfrac{12!}{2!(12-2)!}=\dfrac{12\times11\times10!}{2\times1\times10!}=66,\\\\\\n(A)=^8C_2\times^4C_0=\dfrac{8!}{2!(8-2)!}\times1=\dfrac{8\times7\times6!}{2\times1\times6!}=28.[/tex]

Therefore, the probability of event A is given by

[tex]P(A)=\dfrac{n(A)}{n(S)}=\dfrac{28}{66}=\dfrac{14}{33}.[/tex]

Thus, the required probability is [tex]\dfrac{14}{33}.[/tex]

Option (B) is CORRECT.

solve the inequality 9x-11 > 4x +12

Answers

You need to get x by itself. So add 11 to both sides. Then you get 9x>4x+23. Subtract 4x from both sides. The new inequality you get is 5x>23. Then, divide each side by 5. You get x>4.6. The answer is x>4.6. Hope this helps! ;)
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