12th grade stat and prob !!!!

Answer:the ratio of brooms to mops is 3:2

Step-by-step explanation:

6:4 can be simplified to 3:2

Answer:

6:4

Step-by-step explanation:

also can be simplified 3:2

Answer:

3

Step-by-step explanation:

5(11x-2) = 155

⇔ 55x - 10 = 155

⇔ 55x = 155 + 10

⇔ 55x = 165

⇔ x = [tex]\frac{165}{55}[/tex]

⇔ x = 3

Answer:

x=3

Step-by-step explanation:

5(11x - 2) = 155

Divide each side by 5

5/5(11x - 2) = 155/5

11x-2 = 31

Add 2 to each side

11x-2+2 = 31+2

11x=33

Divide by 11

11x/11 = 33/11

x=3

Answer:

p = 72

q = 18

Step-by-step explanation:

Complementary means they add to  90o

p + q = 90

p = 4*q

Substitute 4q for p

4q + q = 90            Combine

5q = 90                  Divide by 5

5q/5 =90/5

q = 18

p = 4q

p = 4*18

p = 72

Step-by-step explanation:

= 2x +b

Use the given point (2, 5)

5 = 2(2) +b

b = 5 -4 = 1

The equation of the line is

y = 2x +1

Note general form of the slope-intercept form of a line is y = mx +b, where m is the slope and b is the y-axis intercept

Answer: 5.5 quarts = 22 cups

Step-by-step explanation:

1 cup = 4 cups

to convert cups to quart, just multiply by 4

5.5 x 4 = 22

Answer:

qijejejsllaoajvrjaoaq

Answer:

well rolling a 1 would be a 1 in 6 chance as would rolling 2 be a 1 in 6 chance

Step-by-step explanation: if this is not what you are looking for post a picture so I can answer correctly

Answer:

x ≥0

Step-by-step explanation:

Given the product:

√(5x)*√(x+3)

The function has to be defined if x ≥0

Hence;

√(5x)*√(x+3)≥0

Find the product

√(5x)(x+3)≥0

Square both sides

(5x)(x+3)≥0

5x≥0 and x+3≥0

x≥0/5 and x ≥0 - 3

x ≥0 and x ≥-3

Hence the required inequality is x ≥0

Answer:

3(7a - 9)

Step-by-step explanation:

21a–27

3*7*a - 3*9

Factor out 3

3(7a - 9)

Answer:

3(7a-9)

Step-by-step explanation:

The greatest common factor between 21a and 27 is 3. Hope this helps!

Answer:

Step-by-step explanation:

11.-3(2x-8)=-12

-6x+24=-12

-6x=-12-24

x=-36/-6

x=6

12.4(6+2x)=0

24+8x=0

8x=0-24

x=-24/8

x=-3

13.3x+2x+6=-15

5x+6=-15

5x=-15-6

x=-21/5

14.4=-2(x+3)

4=-2x-6

4+6=-2x

10/-2=x

-5=x

15.27=46+2x-x

27=46+x

27-46=x

-19=x

Answer:

11.  -6

12.  -3

13.  4.2

14.  -5

15.  -19

Step-by-step explanation:

Check the pictures. Would take too long for me to type it all out.

Answer:

Distance = 15 units

Step-by-step explanation:

[tex]Let \ (x_1 , y_ 1 ) = ( 0 , 7 ) \ , \ (x _ 2 , y _ 2 ) \ = ( -12 , -2 ) \\\\Dsitance = \sqrt{(x_2 - x_1)^2 + (y_2 - y_1 )^2} \\\\[/tex]

             [tex]= \sqrt{(-12 - 0)^2 + ( -2 - 7)^2} \\\\=\sqrt{12^2 + 9^2 }\\\\=\sqrt{144 + 8 1} \\\\= \sqrt {225 } \\\\= 15[/tex]

Answer:

( 12 , - 10 )

Step-by-step explanation:

Difference between the x points : 0 - ( - 12 ) = 12

Difference between the y points : - 12 - ( - 2 ) = -10

There fore the difference ( 12 , - 10 )

Hopefully this is what you mean

Have a nice day !

Answer:

x= -3 + [tex]\sqrt{14}[/tex]

Step-by-step explanation:

Number 1 is 5y = 50

Number 2 is h = 7

Number 3 is multiplication

Number 4 is addition

[tex]\boxed{6}[/tex] ✅

[tex]\large\mathfrak{{\pmb{\underline{\red{Step-by-step\:explanation}}{\orange{:}}}}}[/tex]

[tex]3 + ( - h) + ( - 4)[/tex]

Putting the value "h = -7" in the above expression, we have

[tex]3 + [ - ( - 7)] - 4 \\ = 3 + 7 - 4 \\ = 10 - 4 \\ = 6[/tex]

Note:-

[tex]\sf\purple{BODMAS\: rule.}[/tex]

B = Brackets

O = Orders

D = Division

M = Multiplication

A = Addition

S = Subtraction

( And )

[tex]\sf\red{(-\:x\:-)\:=\:+}[/tex]

[tex]\large\mathfrak{{\pmb{\underline{\orange{Happy\:learning }}{\orange{!}}}}}[/tex]

Answer:

6

Step-by-step explanation:

Replace h with -7

3+ [-(-7)]+(-4)

Multiply the negative with -7. The answer for it is 7

Add 3 and 7, which is 10

Subtract 10 with -4 which is 6

Answer is 6

Hope this helps!

Answer:

Step-by-step explanation:

pythagoras theorem

a^2+b^2=c^2

21^2+20^2=29^2

441+400=841

841=841

since the sum of square of two smaller sides is equal to the square of longest side .The given triangle can form right angle.

Answer:

Step-by-step explanation:

The formula for the volume of a sphere is given by :

[tex]V_s=\dfrac{4}{3}\pi r^3[/tex]

Where

r is the radius of the sphere

The formula for the volume of a cylinder is given by :

[tex]V_c=\pi r^2 h[/tex]

Where

r and h is the radius and height of the cylinder

The formula for the volume of a cone is given by :

[tex]V_C=\dfrac{1}{3}\pi r^2 h[/tex]

Where

r and h is the radius and height of the cone

Answer:

a) 23 + x = 140

Step-by-step explanation:

140 - 23 = 117

the angle x = 117°

Answer:

7 play cricket

14 play football

21 play volleyball

Step-by-step explanation:

Answer:

4

Step-by-step explanation:

yes

Step-by-step explanation:

A U B= {2,3,4,5,6,7,8,9,10,11,12,13}

A n B= {5}

Answer:

A. 17°

Step-by-step explanation:

Recall: measure of an inscribed angle = ½(intercepted arc)

Inscribed angle = m<MTH

Intercepted arc = arc MH = 34°

Therefore,

m<MTH = ½(Arc MH)

Substitute

m<MTH = ½(34)

m<MTH = 17°

Answer:

Step-by-step explanation:

I am sorry i need points, i cant

Answer:

the answer is 40%.

Step-by-step explanation:

probability= total number of juniors all over total number.

that is , 8

20

2

5

rounding it the nearest whole percent is

2 × 100

5

40%.

The probability that the selected student is a junior is 27%.

The probability of an event is the ratio of the number of outcomes favorable to the event to the total number of outcomes for the event. This represents the chance for the event to take place.

If A is the event, n is the number of outcomes favorable to the event and S is the total number of outcomes, then the probability of the event A is given as:

P(A) = n/S.

We are given a two-way table showing the number of freshmen, sophomores, juniors, and seniors in the class with respect to their gender.

We are asked to find the probability of selecting a junior student while picking a random student from the class.

Let the event of selecting a junior student from the class be A.

Number of favorable outcomes to event A (n) = 2 + 6 = 8 (junior males + junior females)

Total number of outcomes (students in the class) (S) = 4 + 6 + 2 + 2 + 3 + 4 + 6 + 3 = 30.

∴ The probability that the selected student is a junior is given by:

P(A) = n/S = 8/30

or, P(A) = (8/30)*100% = 26.67% = 27% (rounding to the nearest whole percent).

∴ The probability that the selected student is a junior is 27%.

Learn more about the probability of an event at

https://brainly.com/question/7965468

#SPJ2

Answer:

e) z (max) = 24

x₁  =  x₂  = 0     x₃  = 4

Step-by-step explanation:

a) The problem requires maximizing the total value from sandwich fruits and drink, therefore the objective function is associated to the sum of the values of each value.

We have three variables xi  ( x₁, x₂, x₃ ) the values of sandwich, fruits and drink, and we have to maximize such quantities subject to the constraint of size (the capacity of the basket)

b) z  = 6*x₁  +  4*x₂  + 6*x₃      Objective Function

Constraint :

basket capacity  17

9*x₁  +  3*x₂  +  4*x₃  ≤  17

General constraints:

x₁   ≥  0     x₂    ≥  0     x₃  ≥  0    all integers

e) z (max) = 24

x₁  =  x₂  = 0     x₃  = 4

NOTE: Without the information about fractional or decimal feasible solution we decided to use integers solution

Answer:

Step-by-step explanation:

32=-80*(-2/5) bấm máy là ok mà

Answer:

[tex] {32}^{ \frac{ 2}{ - 5} } [/tex]

note that it's not important if the minus sign is with the 2 or with the 5, it allows us to calculate

[tex] {32}^{2} [/tex]

first, and then take the 5th root from the solution

[tex] {1024}^{ \frac{1}{ - 5} } [/tex]

=

[tex] \sqrt[ - 5]{1024} = \frac{1}{4} [/tex]

I solved the last part with a virtual calculator, but double checked it (see screenshot)

Answer:

Sine of X = d/f

Cos of X = e/f

Tan of X = d/e

Step-by-step explanation:

In this case, the opposite is d, the adjacent is e and the hypotenuse is f.

sin is opposite/hypotenuse

cos is adjacent/hypotenuse

and

tan is opposite/adjacent

Answer:

2 15 sorry po kung mali

Step-by-step explanation:

Wala pong step by step