Find the probability that exactly four of them retake this test.

Answer:

8/9 will be left over

Step-by-step explanation:

3 7/9 + 5 1/3= 9 1/9

Now subtract the amount of paint needed by how much paint there is:

10- 9 1/9= 8/9

Therefore, 8/9 will be left over

Hope this helps

Answer:

[tex]\huge\purple{ x^2 +(y+2)^2 = 4}[/tex]

Step-by-step explanation:

Circle is centred at (0, -2)

-> h = 0 & k = - 2

radius of the circle (r) = y-coordinate of the center = - 2

Equation of circle in standard form is given as:

[tex](x-h)^2 +(y-k)^2 = r^2[/tex]

Plugging the values of h, k and r in the above equation, we find:

[tex](x-0)^2 +[y-(-2)]^2 = (-2)^2[/tex]

[tex]\implies\huge\orange{ x^2 +(y+2)^2 = 4}[/tex]

This is the required equation of circle.

31 and 35.

Sure hope this helps you

Hey there!

(6^3 * 2^6) / 2^3

= (6 * 6 * 6 * 2 * 2 * 2 * 2 * 2 * 2) / 2 * 2 * 2

= (36 * 6 * 4 * 4 * 4) / 4 * 2

= (216 * 16 * 4) / 8
= 3,456 * 4 / 8

= 13,824 / 8

= 1,728

Looking for something that gives you the result of: 1,728

Option A.
12^3

= 12 * 12 * 12

= 144 * 12

= 1,728

Option A. is. possible answer

Option B.
6^3

= 6 * 6 * 6

= 36 * 6

= 216

216 ≠ 1,728

Option B. is incorrect

Option C.
12^6

= 12 * 12 * 12 * 12 * 12 * 12

= 144 * 144 * 144

= 20,736 * 144

= 2,985,984

2,985,984 ≠ 1,728

Option C. is also incorrect

Option D.
2^6 * 2^3

= 2 * 2 * 2 * 2 * 2 * 2 * 2 * 2 * 2

= 4 * 4 * 4 * 4 * 2

= 16 * 16 * 2

= 256 * 2

= 512
512 ≠ 1,728

Option D. is also incorrect

Option E.
2^3 * 3^3

= 2 * 2 * 2 * 3 * 3 * 3

= 4 * 2 * 9 * 3

= 8 * 27

= 216

216 ≠ 1,728

Option E. is also incorrect.

Therefore, the answer should be:

Option A. 12^3

Good luck on your assignment & enjoy your day!

~Amphitrite1040:)

Answer:

8 motors

Step-by-step explanation:

The fuses can carry one 5 HP motor.

This replaced by n number of 5/8HP motors.

That mean the new values of horsepower is equal to the previous value.

The distance between two parallel lines  y=x+3 and y=x+1 will be equal to

[tex]d=\dfrac{1}{\sqrt{2}}[/tex]

The lines which do not intersect to each other and only intersect at infinity are called parallel lines.

Here we have two lines:-

y=x+3

y=x+1

The formula for the distance between two parallel lines is given by:-

[tex]d=\dfrac{|C_1-C_2|}{\sqrt{a^2+b^2}}[/tex]

We have C1=3 C2=1 a=1 b=1 by putting the value in the formula we will get:-

[tex]d=\dfrac{3-2}{\sqrt{1^2+1^2}}=\dfrac{1}{\sqrt{2}}[/tex]

Hence distance between two parallel lines  y=x+3 and y=x+1 will be equal to  [tex]d=\dfrac{1}{\sqrt{2}}[/tex]

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Answer:

length = 9 cm

Step-by-step explanation:

perimeter = p =26 cm

width = w=  4 cm

perimeter of a rectangle= 2*w+2*L

L= length

so we have:

26 = 2*(4) +2*L

26= 8 +2L

26-8 = 2L

18 = 2L

L= 18/2

L =9 cm = length

Answer:

f(7)=40

f(3)=16

Step-by-step explanation:

f(0)=6(7)-2

y=42-2

y=40

f(0)=6(3)-2

y=18-2

y=16

Answer:

1.thursday

his expenses was p26.85

2.monday he spent p40.8

3.18.90+23.15+11.80+16.35+9.20=approximately p55.6×30 days=p1,668

4.693.80-1,668

so he savings is completely enough

Answer:

what is actually the question please

Answer:

a

Step-by-step explanation:

6+10+8=24=iscolecles triangle

Answer:

A

Step-by-step explanation:

cosθ  = 8/10

θ = arcCos(8/10)

θ  =36.87

cot(36.87) = 8/x

1.33 = 8/x

x1.33 = 8

x = 6

Therefore , A is the correct Answer

B. It could be costly to initially switch to.

A disadvantage of renewable energy would be It could be costly to initially switch to. Hence option B is true.

Used the definition of renewable energy that states,

Renewable energy is energy that comes from a source that won't run out. They are natural and self-replenishing and usually have a low- or zero-carbon footprint.

Now, Renewable energy sources have numerous advantages, such as being environmentally friendly and sustainable, one of the disadvantages is the initial high cost of transitioning from traditional energy sources to renewable ones.

Since renewable energy sources do not create large amounts of pollution.

Additionally, renewable energy has the potential to produce ample power to meet our needs.

Finally, the fact that renewable energy will not run out is actually an advantage, not a disadvantage.

Hence, Option B is true.

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Answer:

r = d/2

r = 10.2/2 = 5.1

Area = pi * r^2

Area = 3.14 * 5.1^2

Area = 81.67 in^2

To the nearest 1/10, this is 81.7 in^2

the answer is -2

Yw :D

Answer:

$0.15 per ounce

Step-by-step explanation:

Unit price = cost / volume of drink

$2.39 / 16 oz = $0.15 per ounce

Hope this helps

Answer:

89.3 but im not 100% sure Hope this helps!!

Step-by-step explanation:

Answer:

the height forms a right triangle with the slant height as the hypotenuse and half of the base diagonal as the other leg

(height)^2 = (slant height)^2 - (half of base diagonal)^2

h^2 = 83.3^2 - (10.8 √2)^2

I think so, I hope it helps :)

Answer:  30 students: $346.5

1 student: $11.55

Step-by-step explanation:

The total cost in dollars for admission and lunch for 30 students is $406.6 and for each student is $13.55.

The unitary method is a technique for solving a problem by first finding the value of single unit, and then finding the value the necessary value by multiplying the single unit.

According to the given question

Cost price for five students for taking admission to the museum and lunch is 36.25 and 31.50 respectively.

cost price for one student for taking admission in museum = [tex]\frac{36.25}{5} = $7.25[/tex]

cost price for one student lunch = [tex]\frac{31.50}{5} = 6.3[/tex]

Therefore,

The total cost for each student for the admission and lunch = 7.25+6.3 =

$13.55

And, the total cost for 30 students for admission and lunch = 30×$13.55 =$406.5

Hence, the total cost for admission to museum and lunch for each student is $13.55 and for 30 students is $406.6.

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Answer:

$ 1.725

Step-by-step explanation:

4 Pack of coffee = $ 6.90

1 Pack of coffee = $ 6.90 / 4 = $ 1.725

( The word per means " 1 " )

Answer:

$1.73

Step-by-step explanation:

To get the price of one bottle, set up a proportion.

let x = the price of one bottle

the numerator will be the price of the bottles and the denominator will be the number of bottles.

6.90 / 4  = x / 1

cross multiply: 6.90 = 4x

solve for x by dividing by 4 on both sides

6.90/4 = 4x / 4

x = 1.725, round up to $1.73

Answer:

Ingredient Percentage=Ingredient Weight/Total Flour x 100%

Step-by-step explanation:

For example, if a formula calls for 60 pounds of water and 100 pounds of flour, the baker's percent would be 60% water. If there are two types of flour being used, the combination of the weight of both flours will be 100%.

Answer:

3 x 5= 15

Step-by-step explanation:

If you count by 5's like 5, 10, 15, 20
And if you count by 3's: 3, 6, 9, 12, 15
then find the least common multiple and it is 15

Please mark me as the Branlyest ;) Thanks

Answer:

3 x 5 = 15

Step-by-step explanation:

3 + 3 + 3 + 3 + 3 = 15

I hope this helps!

When a design brief & investigation is used for problem solving, then, the problem will be solved in structured manner.

This is a brief  that provides a structured way to apply knowledge and skills to solve problems while the investigation tells how to search for the knowledge that we need.

In conclusion, the problem will be solved in structured manner if we use a design brief & investigation for solving a problem.

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

Explanation:

1 gallon = 4 quarts

2 gallons = 8 quarts

1/4 of 8 quarts = 2 quarts

She used 2 quarts for her bedroom and 3 for the hallway. Therefore, she used 2+3 = 5 quarts total.

That leaves 8 - 5 = 3 quarts for the living room.

Answer:

A: 3 Quarts

Step-by-step explanation:

1 gallon = 4 quarts

1/4 of 2 gallons = 1/4 × 2

                         = 1/2 gallon

⇒ 1/2 gallon = 2 quarts

Therefore, Mieko used 2 quarts of paint to paint her bedroom.

If she used 3 quarts to paint the hallway, then

⇒ total number of quarts used = 2 + 3 = 5 quarts

As she bought a total of 2 gallons of paint:

⇒ 2 gallons = 2 × 4 = 8 quarts

Therefore the remaining unused paint (to paint the living room) is:

⇒ total paint - used paid = 8 quarts - 5 quarts

                                         = 3 quarts

Answer:

B

Step-by-step explanation:

It matches 3 of the 4 rows.

Answer:

9 - 5x = 7

Step-by-step explanation:

Nine (9) less (-) then the product (*) of 5*x, equals (=) to 7

9 - 5x = 7

Answer:

See below ~

Step-by-step explanation:

Intervals over which the function is continuous :

Left line :

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

Central line

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

Right line :

Step-by-step explanation:

Number of males is

Number of males not enrolled

Number of females not enrolled

(a)

The table based on data is

                Enrolled        Not enrolled      Total  

Male            82                  36                     118    

Female        102                56                     158  

Total            184                 92                     276

(b)

Percentage of students were males that went to magic college

(c)

Percentage of females went to magic college

Answer:

a)  see below

b)  29.7%  (1 d.p.)

c)  64.6%  (1 d.p.)

Step-by-step explanation:

Part (a)

Using the given information to create a two-way table:

[tex]\begin{array}{|l|c|c|c|}\cline{1-4} & \sf Female & \sf Male & \sf Totals\\\cline{1-4} \sf Enrolled & 102 & 82 & \\\cline{1-4} \sf Not\:enrolled & & &\\\cline{1-4} \sf Totals & 158 & & 278\\\cline{1-4}\end{array}[/tex]

Calculations to fill the table:

Therefore:

[tex]\begin{array}{|l|c|c|c|}\cline{1-4} & \sf Female & \sf Male & \sf Totals\\\cline{1-4} \sf Enrolled & 102 & 82 & 184 \\\cline{1-4} \sf Not\:enrolled & 56 & 38& 94 \\\cline{1-4} \sf Totals & 158 &120 & 278\\\cline{1-4}\end{array}[/tex]

Part (b)

[tex]\sf Percentage=\left(\dfrac{Value}{Total\:value}\right) \times 100[/tex]

Number of students who are male and enrolled = 82

Total number of students = 278

[tex]\begin{aligned} \implies \sf Percentage\:students\:enrolled & = \sf\left(\dfrac{82}{278}\right) \times 100\\& = \sf 29.7\%\:\:(1\:d.p.) \end{aligned}[/tex]

Part (c)

Total number of females enrolled = 102

Total number of females = 158

[tex]\begin{aligned} \implies \sf Percentage\:students\:enrolled & = \sf\left(\dfrac{102}{158}\right) \times 100\\& = \sf 64.6\%\:\:(1\:d.p.) \end{aligned}[/tex]

Answer:

So we just multiply the two numbers together and we get [tex]\frac{14}{7}[/tex] and if we simplify this even more we just get down to 2 which is our final answer.  That would best match with Option D, 2

Hope this helps!  Let me know if you have any questions

Answer:

2 the answer is and always will be 2

Step-by-step explanation:

just know it