Determine value of k

Answer:

1/18

Step-by-step explanation:

there are 12 marbles in the bag

P(choose red) = 2/12 = 1/6

P(choose blue after replacement) = 4/12 = 1/3

P(choose red, then blue with replacement) = (1/6)(1/3) = 1/18

Answer:

x =33

Step-by-step explanation:

add 18 to both sides to get x=33

Answer:

-5/6

Step-by-step explanation:

y2 - y1 / x2 - x1

-6 - 4 / 7 - (-5)

-10 / 12

= -5/6

Answer:

Step-by-step explanation:

Find the z-score:

From the z-score table we get corresponding value of 0.1056

Proportion of scores higher than Cam's score:

Answer:

A set of chemistry exam scores are normally distributed with a mean of 70 points and a standard deviation of 4 points. Cam got a score of 65 points on the exam. What proportion of exam scores are higher than Cam's score? (hint the z score taken from the z score chart linked below will be the number of scores below Cam's. We are looking for the number of scores higher than Cam's Score. This is 1 - z score)

Answer:

3 adult tickets and 5 children tickets.

Step-by-step explanation:

Make a chart:

1 adult + 7 children = 1(5)+7(3) = 26

2 adults + 6 children = 2(5)+6(3) = 28

3 adults + 5 children = 3(5)+5(3) = 30

4 adults + 4 children = 4(5)+4(3) = 32

5 adults + 3 children = 5(5)+3(3) = 34

6 adults + 2 children = 6(5)+2(3) = 36

7 adults + 1 child = 7(5)+1(3) = 38

The answer in bold is the only one that leads to $30, therefore he bought 3 adult tickets and 5 children tickets.

Answer:

A

Step-by-step explanation:

Each student spend 0.625 hours to wash all the cars.

What is unity method?

The unitary method is a strategy for problem-solving that involves first determining the value of a single unit, then multiplying that value to determine the required value.

All the cars are washed by 1 student in 10 hours.

So, the time taken by 4 students to wash all the cars will be 10/4=2.5 hours.

This includes that 4 students wash all the cars in 2.5 hours.

So, the time invested by each student to wash cars is 2.5/4=0.625.

Therefore, each student spend 0.625 hours.

Disclaimer:

It takes one student 10 hours to wash all the cars at a car wash. If 4 students wash all the cars, how many hours will each person spend washing cars? (assume that all students wash cars at the same rate.)

a. 2.5 hrs

b.0.625 hrs

c.5 hrs

d. 0.4 hrs

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Answer:

339 cm²

Step-by-step explanation:

Using the relation for the surface area of a cylinder :

A = 2πrh

r = Radius = diameter / 2 = 4.5 / 2 = 2.25 cm

Height, h = 24 cm

A = 2 * 22/7 * 2.25 * 24

A = 339.29200 cm²

Surface Area =339 cm²

About 339cm³ of cardboard will be needed for the inner tube.

To make inner tube card board needed is 339 cm² of the material.

The surface area of a solid object is a measure of the total area that the surface of the object occupies.

Here, diameter = 4.5 cm

then, radius = 4.5/2 = 2.25 cm

          height = 24 cm

Surface area = 2πrh

                       = 2 X 3.14 X 2.25 X 24

                       = 339.12 cm²

Thus, to make inner tube card board needed is 339 cm² of the material.

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Answer:

54

Step-by-step explanation:

3*6*3=54

The solution is Option G.

The number of ways of choosing exactly 1 pair of shoes, 1 pair of pants, and 1 shirt is given by combination C = 54 ways

The number of ways of selecting r objects from n unlike objects is:

ⁿCₓ = n! / ( ( n - x )! x! )

where

n = total number of objects

x = number of choosing objects from the set

Given data ,

Let the number of ways of choosing exactly 1 pair of shoes, 1 pair of pants, and 1 shirt be C

Now , the equation will be

The total number of shoes = 3 pairs

The total number of pants = 3 pairs

The total number of shirts = 6 shirts

And , the number of ways of choosing exactly 1 pair of shoes, 1 pair of pants, and 1 shirt  is calculated by Combination , where

The number of ways of selecting 1 pair of shoes = ³C₁

The number of ways of selecting 1 pair of pants = ³C₁

The number of ways of selecting 1 shirt = ⁶C₁

So , the total number of ways = ³C₁ x ³C₁ x ⁶C₁

On simplifying the equation , we get

The total number of ways C = 3 x 3 x 6

The total number of ways C = 54 ways

Hence , the combination is C = 54 ways

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Therefore , the solution to the given problem of surface area comes out to be 24 square unit.

Shape is a unit used to describe how much overall space a material's surface occupies. A three-dimensional shape surface area is equal to the sum of its surroundings. The overall surface coverage of a multi shape is referred to as surface area. The volume of water of a cube featuring five rectangular faces can be calculated by adding up each face's specific area. As an alternative, you can identify the box's measurements using the formula below: Surface (SA) is equal to two times two times two. 

Here,

The presented parallelogram has a height of 5-2 = 3 units.

The given parallelogram's basis is comprised of => 7 -(-1) units => 8 units.

As a result, the supplied parallelogram has a surface area of 8 * 3 = 24 square units.

As a result, 24 square units are required to solve the given area problem.

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Answer:

true

Step-by-step explanation:

multiply by 3

Answer:

4mm

Step-by-step explanation:

Joseph made a scale drawing of an Italian restaurant. The scale he used was 1 millimeter : 6 meters.

From the above question, our scale factor is given as:

1 millimeter : 6 meters.

1 mm = 6 m

Which also means

6m = 1 mm

The restaurant's kitchen is 24 meters long in real life. How long is the kitchen in the drawing?

Hence, we can calculate this as

6m = 1 mm

24 m = x mm

Cross Multiply

6 m × x mm = 24m × 1 mm

x mm = 24m × 1 mm/6m

x mm = 4 mm

Therefore, the length of the kitchen in the drawing is 4mm

Answer:

-9

Step-by-step explanation:

Answer:

$24

no, it is 48% off normal price

Step-by-step explanation:

clearance price = normal price - value of the 40% discount

value of the 40% discount = 0.4 x $50 = $20

Price = $50 - $20 = $30

final price = clearance price - value of 20% coupon

value of 20% coupon = 0.2 x $30 = $6

final price = $30 = $6 = $24

total value off normal price = $24 /$50 x 100 = 48%

Answer: y=16

Step-by-step explanation:

Hope this helps

Answer:

5cm

Step-by-step explanation:

Given data

Length= 3cm

Width= 4cm

Applying Pythagoras theorem

z^2= x^2+y^2

z^2= 3^2+ 4^2

z^2= 9+16

z^2= 25

square root both sides

z= √25

z= 5cm

Hence the diagonal is  5cm

Answer:

Brand A costs 5 cents more than Brand B

Step-by-step explanation:

divide 3 by 4 to get the unit price of brand a

divide 7 by 10 to get the unit price of brand b

Answer:

1,044(sqrd)

Step-by-step explanation:

18*18=324cm(sqrd)

18*20= 320

320/2= 180cm(sqrd)

180*4= 720cm(sqrd)

720+324= 1,044(sqrd)

Answer:

44%

0.44 is 44% of 1.

Answer:

Area of trapezoid = 21 cm²

Step-by-step explanation:

Given:

Length of rectangular shape = 4 cm

Width of rectangular shape = 3 cm

Base of triangle = 3 cm

Number of triangle = 3 cm

Find:

Area of trapezoid

Computation:

Area of trapezoid = Area of middle rectangle + Number of triangle[Area of triangle]

Area of trapezoid = [l x b] + 2[(1/2)(b)(h)]

Area of trapezoid = [4 x 3] + 2[(1/2)(3)(3)]

Area of trapezoid = 12 + 9

Area of trapezoid = 21 cm²

Answer:

0.12 x (x + 3000) = 4200

equation for her salary last year : last year's salary = (4200 / 0.12) - 3000

$32,000

Step-by-step explanation:

Let x = last year's salary

this year's salary = 3000 + x

this equation can be used to determine how much she saved this year = 0.12 x (x + 3000) = 4200

to find last year's salary, make x the subject of the formula

4200 / 0.12 - 3000 = x

x = $32,000

to find how many seats are in each row you have to divide the nber of students by the rows 325 by 25 is 13 seats per row

Answer:

thanks

Step-by-step explanation:

really appreciate it

Answer:

Thank youu!

Step-by-step explanation:

hope you have a great day too!

Answer:

in the photo

SORRY IF BAD HANDWRITING

Answer:

The expected value is $0.1125

Step-by-step explanation:

The number of packages worth $0.70 in the grab bag = 20

The number of packages worth $0.60 in the grab bag = 15

The number of packages worth 30 cents in the grab bag = 5

The amount paid to pick one package = 50 cents

The number of packages in the bag, n = 20 + 15 + 5 = 40

The total value of the packages in the grab bag, 'V', is given as follows;

V = 20 × $0.70 + 15 × $0.60 + 5 × $0.30 =  $24.5

The average value of the packages in the bag, A = V/n

∴ A = $24.5/40 = 0.6125

The expected value is the value of the investment, at a point in time, the expected value E(X) is found by finding the sum of the of the calculations of the possible outcomes as follows

Whereby a $0.70 package is picked up, we have;

E(X)₁ = ($0.70 - $0.50) × 20/40 = $0.10

Whereby a $0.60 package is selected, we have;

E(X)₂ = ($0.60 - $0.50) × 15/40 = $0.0375

Whereby a $0.30 package is selected, we have;

E(X)₃ = ($0.30 - $0.50) × 5/40 = $(0.025)

Therefore, the expected value, E(X), is found as follows;

E(X) = E(X)₁ + E(X)₂ + E(X)₃

E(X) = 0.1 + 0.0375 - 0.025 = $0.1125

The expected value, E(X) = $0.1125

Answer:

No.

Step-by-step explanation:

If you go to a baseball park and ask what their favorite sport is most will probably say baseball. Just as if you go to a basketball court, most would respond with basketball as their favorite sport. I suggest not going to anything related to sports and asking random people.

Answer: R = Y

Step-by-step explanation: I'm going to assume that this is your problem:

If r = 5z and 15z = 3y, then r = ?

r = 5z

Multiply both sides of this equation by 3:

3r = 15z

Now, we know that

3r = 15z and that 15z = 3y

By the transitive property of equality, we can conclude that

3r = 3y

Dividing both sides by 3 yields this: