Find the weighted mean

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:

Step-by-step explanation:

Work done by Kayla in 1 hour = 1/15

Work done by Jennifer in 1 hour = 1/16

Work done by both Kayla and Jennifer = [tex]\frac{1}{15}+\frac{1}{16}[/tex]

                 [tex]= \frac{1*16}{15*16}+\frac{1*15}{16*15}\\\\=\frac{16}{240}+\frac{15}{240}\\\\=\frac{31}{240}\\[/tex]

Hours taken  by both = 240/31 = 7  23/31 hours

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:

Hello! answer: 49

Step-by-step explanation:

This is a complementary angle meaning it will add up to 90 degrees so...

90 - 41 = 49 therefore a = 49 hope that helps!

Answer:

Step-by-step explanation:

anfle a+41 degree=90 degree(being perpendicular)

angle a=90-41

angle a=49

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 and explanation:

A. profit P as a function of x, the number of tickets sold

P(x)= total revenue - total cost

For 40000 tickets at $4

=40000×4-0.10×40000+$95000

=$160000-$99000

=$61000

For 35000 tickets at $5

= 35000×$5-0.10×35000+$95000

= $175000-$98500

= $76500

B. P has a downward slope like a demand curve. Increase in price equal to decrease in profit.

C. P(40000)= $4-$0.10+$95000/40000

= $4-$2.475

= $1.525

Price for 20000 tickets was not stated in question but feel free to use an arbitrary price(price should be higher than that for 35000 tickets and 40000 tickets)

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

Answer:

divide the speed value by 3600

according to the most used browser by the name of g

Step-by-step explanation:

[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:

I am sorry i need points, i cant

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:

10 × 5 - (- 6)² + (- 8) = 6

(- 5)² × 3 ÷ 5 + 9 = 24

(10 ÷ (- 5) - (- 2)) × (- 3)³ = 0

4 × (- 6) ÷ 8 + 3³ = 24

(- 5)² - 2 × (- 9) + 6 = 49

3 × 10 + 8 - 4² = 22

(- 9) - (- 8) + 2 × 4² = 31

(- 3)³ - 2 + 8 ÷ (- 8) = - 30

8 ÷ (- 4) × (- 6)² + 7 = - 65

4 × (- 8) + 6 - (- 2)³ = - 18

Step-by-step explanation:

10 × 5 - (- 6)² + (- 8)

10 × 5 - 36 - 8

10 × 5 - 36 - 8

50 - 36 - 8

50 - 44

6

(- 5)² × 3 ÷ 5 + 9

25 × 3 ÷ 5 + 9

75 ÷ 5 + 9

15 + 9

24

(10 ÷ (- 5) - (- 2)) × (- 3)³

(10 ÷ (- 5) - (- 2)) × - 27

(10 ÷ - 5 + 2) × - 27

(- 2 + 2) × - 27

0 × - 27

0

4 × (- 6) ÷ 8 + 3³

4 × (- 6) ÷ 8 + 27

- 24 ÷ 8 + 27

- 3 + 27

24

(- 5)² - 2 × (- 9) + 6

25 - 2 × - 9 + 6

25 + 18 + 6

49

3 × 10 + 8 - 4²

3 × 10 + 8 - 16

30 + 8 - 16

30 - 8

22

(- 9) - (- 8) + 2 × 4²

(- 9) - (- 8) + 2 × 16

- 9 + 8 + 2 × 16

- 9 + 8 + 32

32 - 1

31

(- 3)³ - 2 + 8 ÷ (- 8)

- 27 - 2 + 8 ÷ - 8

- 27 - 2 - 1

- 27 - 3

- 30

8 ÷ (- 4) × (- 6)² + 7

8 ÷ (- 4) × 36 + 7

- 2 × 36 + 7

- 72 + 7

- 65

4 × (- 8) + 6 - (- 2)³

4 × (- 8) + 6 - (- 8)

- 32 + 6 + 8

- 32 + 14

- 18

[tex]10 x 5-(-6)^2 +(-8)\\10x5-36+(-8)\\50-36+(-8)\\50-28\\22[/tex]

[tex](-5)^2[/tex]x3÷5+9

25x3÷5+9

75÷5+9

15+9

24

(10÷(-5)-(-2))x(-3)³

((-2)-(-2))x(-3)³

0x(-3)³

0x(-27)

0

4x(-6)÷8+3³

4x(-6)÷8+27

(-24)÷8+27

(-3)+27

24

(-5)²-2x(-9)+6

25-2x(-9)+6

25+18+6

43+6

49

3x10+8-4²

3x10+8-16

30+8-16

38-16

22

(-9)-(-8)+2x4²

(-9)-(-8)+2x16

(-9)-(-8)+32

(-9)-24

(-33)

(-3)³-2+8÷(-8)

(-27)-2+8÷(-8)

(-27-2+(-1)

(-27)-1

(-28)

8÷(-4)x(-6)²+7

8÷(-4)x(-36)+7

8÷144+7

0.055+7

7.055

4x(-8)+6-(-2)³

4x(-8)+6-8

(-32)+6-8

(-26)-8

(-34)

I hope this will help you. ^^

Answer:

28% off 160.00 is 115.20

The difference is 44.80

Step-by-step explanation:

One way is to multiply 160 by 28 percent, and then divide the answer by one hundred, then deduct that result from the original price.

Purchase Price:

$160

Discount:

(160 x 28)/100 = $44.80

Final Price:

160 - 44.80 = $115.20

Thus, a product that normally costs $160 with a 28 percent discount will cost you $115.20, and you saved $44.80.

You can also calculate how much you save by simply moving the period in 28.00 percent two spaces to the left, and then multiply the result by $160 as follows: $160 x .28 = $44.80 savings.

Furthermore, you can get the final price by simply deducting .28 from 1 and multiplying it by $160 as follows: (1 - .28) x $160 = $115.20 final price.

Answer:

160-44.8=115.2

Step-by-step explanation:

160 would be 100%

28%=x

[tex]\frac{160}{x} = \frac{100}{28}[/tex]

[tex]\frac{x}{160} =\frac{28}{100}[/tex]      x=44.8

28% of 160 would be 44.8

160-44.8=115.2

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:

4

Step-by-step explanation:

yes

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:

7 play cricket

14 play football

21 play volleyball

Step-by-step explanation:

Answer:

2 15 sorry po kung mali

Step-by-step explanation:

Wala pong step by step

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:

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: 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:

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:

P(Red) = 26/52, P(Black) = 26/51

Step-by-step explanation:

There are 26 red cards and 26 black cards in a standard deck of 52 cards.

This means the probability of picking a red card from the deck is 26/52.

Now, since we are taking out the red card after drawing from the deck, we only have 51 cards. Therefore, the probability of picking a black card from the deck is 26/51.

Answer:

Rs 15500

Step-by-step explanation:

x = previous salary

0.20x + x = 18600

      1.20x = 18600

     /1.20      /1.20

             x = 15500

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:

a) 23 + x = 140

Step-by-step explanation:

140 - 23 = 117

the angle x = 117°

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:

qijejejsllaoajvrjaoaq